1 | MODULE zdfosm |
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2 | !!====================================================================== |
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3 | !! *** MODULE zdfosm *** |
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4 | !! Ocean physics: vertical mixing coefficient compute from the OSMOSIS |
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5 | !! turbulent closure parameterization |
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6 | !!===================================================================== |
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7 | !! History : NEMO 4.0 ! A. Grant, G. Nurser |
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8 | !! 15/03/2017 Changed calculation of pycnocline thickness in unstable conditions and stable conditions AG |
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9 | !! 15/03/2017 Calculation of pycnocline gradients for stable conditions changed. Pycnocline gradients now depend on stability of the OSBL. A.G |
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10 | !! 06/06/2017 (1) Checks on sign of buoyancy jump in calculation of OSBL depth. A.G. |
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11 | !! (2) Removed variable zbrad0, zbradh and zbradav since they are not used. |
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12 | !! (3) Approximate treatment for shear turbulence. |
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13 | !! Minimum values for zustar and zustke. |
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14 | !! Add velocity scale, zvstr, that tends to zustar for large Langmuir numbers. |
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15 | !! Limit maximum value for Langmuir number. |
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16 | !! Use zvstr in definition of stability parameter zhol. |
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17 | !! (4) Modified parametrization of entrainment flux, changing original coefficient 0.0485 for Langmuir contribution to 0.135 * zla |
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18 | !! (5) For stable boundary layer add factor that depends on length of timestep to 'slow' collapse and growth. Make sure buoyancy jump not negative. |
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19 | !! (6) For unstable conditions when growth is over multiple levels, limit change to maximum of one level per cycle through loop. |
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20 | !! (7) Change lower limits for loops that calculate OSBL averages from 1 to 2. Large gradients between levels 1 and 2 can cause problems. |
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21 | !! (8) Change upper limits from ibld-1 to ibld. |
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22 | !! (9) Calculation of pycnocline thickness in unstable conditions. Check added to ensure that buoyancy jump is positive before calculating Ri. |
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23 | !! (10) Thickness of interface layer at base of the stable OSBL set by Richardson number. Gives continuity in transition from unstable OSBL. |
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24 | !! (11) Checks that buoyancy jump is poitive when calculating pycnocline profiles. |
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25 | !! (12) Replace zwstrl with zvstr in calculation of eddy viscosity. |
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26 | !! 27/09/2017 (13) Calculate Stokes drift and Stokes penetration depth from wave information |
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27 | !! (14) Buoyancy flux due to entrainment changed to include contribution from shear turbulence. |
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28 | !! 28/09/2017 (15) Calculation of Stokes drift moved into separate do-loops to allow for different options for the determining the Stokes drift to be added. |
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29 | !! (16) Calculation of Stokes drift from windspeed for PM spectrum (for testing, commented out) |
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30 | !! (17) Modification to Langmuir velocity scale to include effects due to the Stokes penetration depth (for testing, commented out) |
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31 | !! ??/??/2018 (18) Revision to code structure, selected using key_osmldpth1. Inline code moved into subroutines. Changes to physics made, |
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32 | !! (a) Pycnocline temperature and salinity profies changed for unstable layers |
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33 | !! (b) The stable OSBL depth parametrization changed. |
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34 | !! 16/05/2019 (19) Fox-Kemper parametrization of restratification through mixed layer eddies added to revised code. |
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35 | !! 23/05/19 (20) Old code where key_osmldpth1` is *not* set removed, together with the key key_osmldpth1 |
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36 | !!---------------------------------------------------------------------- |
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37 | |
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38 | !!---------------------------------------------------------------------- |
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39 | !! 'ln_zdfosm' OSMOSIS scheme |
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40 | !!---------------------------------------------------------------------- |
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41 | !! zdf_osm : update momentum and tracer Kz from osm scheme |
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42 | !! zdf_osm_vertical_average : compute vertical averages over boundary layers |
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43 | !! zdf_osm_velocity_rotation : rotate velocity components |
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44 | !! zdf_osm_velocity_rotation_2d : rotation of 2d fields |
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45 | !! zdf_osm_velocity_rotation_3d : rotation of 3d fields |
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46 | !! zdf_osm_osbl_state : determine the state of the OSBL |
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47 | !! zdf_osm_external_gradients : calculate gradients below the OSBL |
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48 | !! zdf_osm_calculate_dhdt : calculate rate of change of hbl |
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49 | !! zdf_osm_timestep_hbl : hbl timestep |
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50 | !! zdf_osm_pycnocline_thickness : calculate thickness of pycnocline |
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51 | !! zdf_osm_pycnocline_buoyancy_profiles : calculate pycnocline buoyancy profiles |
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52 | !! zdf_osm_diffusivity_viscosity : compute eddy diffusivity and viscosity profiles |
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53 | !! zdf_osm_fgr_terms : compute flux-gradient relationship terms |
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54 | !! zdf_osm_zmld_horizontal_gradients : calculate horizontal buoyancy gradients for use with Fox-Kemper parametrization |
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55 | !! zdf_osm_osbl_state_fk : determine state of OSBL and MLE layers |
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56 | !! zdf_osm_mle_parameters : timestep MLE depth and calculate MLE fluxes |
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57 | !! zdf_osm_init : initialization, namelist read, and parameters control |
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58 | !! zdf_osm_alloc : memory allocation |
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59 | !! osm_rst : read (or initialize) and write osmosis restart fields |
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60 | !! tra_osm : compute and add to the T & S trend the non-local flux |
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61 | !! trc_osm : compute and add to the passive tracer trend the non-local flux (TBD) |
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62 | !! dyn_osm : compute and add to u & v trensd the non-local flux |
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63 | !!---------------------------------------------------------------------- |
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64 | USE oce ! Ocean dynamics and active tracers |
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65 | ! Uses ww from previous time step (which is now wb) to calculate hbl |
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66 | USE dom_oce ! Ocean space and time domain |
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67 | USE zdf_oce ! Ocean vertical physics |
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68 | USE sbc_oce ! Surface boundary condition: ocean |
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69 | USE sbcwave ! Surface wave parameters |
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70 | USE phycst ! Physical constants |
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71 | USE eosbn2 ! Equation of state |
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72 | USE traqsr ! Details of solar radiation absorption |
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73 | USE zdfdrg, ONLY : rCdU_bot ! Bottom friction velocity |
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74 | USE zdfddm ! Double diffusion mixing (avs array) |
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75 | USE iom ! I/O library |
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76 | USE lib_mpp ! MPP library |
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77 | USE trd_oce ! Ocean trends definition |
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78 | USE trdtra ! Tracers trends |
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79 | USE in_out_manager ! I/O manager |
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80 | USE lbclnk ! Ocean lateral boundary conditions (or mpp link) |
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81 | USE prtctl ! Print control |
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82 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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83 | USE timing, ONLY : timing_start, timing_stop ! Timer |
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84 | ! |
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85 | IMPLICIT NONE |
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86 | PRIVATE |
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87 | ! |
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88 | ! Public subroutines |
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89 | PUBLIC zdf_osm ! Routine called by step.F90 |
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90 | PUBLIC zdf_osm_init ! Routine called by nemogcm.F90 |
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91 | PUBLIC osm_rst ! Routine called by step.F90 |
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92 | PUBLIC tra_osm ! Routine called by step.F90 |
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93 | PUBLIC trc_osm ! Routine called by trcstp.F90 |
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94 | PUBLIC dyn_osm ! Routine called by step.F90 |
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95 | ! |
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96 | ! Public variables |
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97 | LOGICAL, PUBLIC :: ln_osm_mle !: Flag to activate the Mixed Layer Eddy (MLE) |
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98 | ! ! parameterisation, needed by tra_mle_init in |
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99 | ! ! tramle.F90 |
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100 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghamu !: Non-local u-momentum flux |
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101 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghamv !: Non-local v-momentum flux |
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102 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghamt !: Non-local temperature flux (gamma/<ws>o) |
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103 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghams !: Non-local salinity flux (gamma/<ws>o) |
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104 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hbl !: Boundary layer depth |
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105 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hml !: ML depth |
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106 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hmle !: Depth of layer affexted by mixed layer eddies in Fox-Kemper parametrization |
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107 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: dbdx_mle !: Zonal buoyancy gradient in ML |
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108 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: dbdy_mle !: Meridional buoyancy gradient in ML |
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109 | INTEGER, PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: mld_prof !: Level of base of MLE layer |
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110 | ! |
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111 | INTERFACE zdf_osm_velocity_rotation |
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112 | !!--------------------------------------------------------------------- |
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113 | !! *** INTERFACE zdf_velocity_rotation *** |
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114 | !!--------------------------------------------------------------------- |
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115 | MODULE PROCEDURE zdf_osm_velocity_rotation_2d |
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116 | MODULE PROCEDURE zdf_osm_velocity_rotation_3d |
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117 | END INTERFACE |
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118 | ! |
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119 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: etmean ! Averaging operator for avt |
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120 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: dh ! Depth of pycnocline |
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121 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: r1_ft ! Inverse of the modified Coriolis parameter at t-pts |
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122 | ! |
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123 | ! Layer indices |
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124 | INTEGER, ALLOCATABLE, SAVE, DIMENSION(:,:) :: nbld ! Level of boundary layer base |
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125 | INTEGER, ALLOCATABLE, SAVE, DIMENSION(:,:) :: nmld ! Level of mixed-layer depth (pycnocline top) |
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126 | ! |
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127 | ! Layer type |
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128 | INTEGER, ALLOCATABLE, SAVE, DIMENSION(:,:) :: n_ddh ! Type of shear layer |
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129 | ! ! n_ddh=0: active shear layer |
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130 | ! ! n_ddh=1: shear layer not active |
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131 | ! ! n_ddh=2: shear production low |
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132 | ! |
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133 | ! Layer flags |
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134 | LOGICAL, ALLOCATABLE, SAVE, DIMENSION(:,:) :: l_conv ! Unstable/stable bl |
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135 | LOGICAL, ALLOCATABLE, SAVE, DIMENSION(:,:) :: l_shear ! Shear layers |
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136 | LOGICAL, ALLOCATABLE, SAVE, DIMENSION(:,:) :: l_coup ! Coupling to bottom |
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137 | LOGICAL, ALLOCATABLE, SAVE, DIMENSION(:,:) :: l_pyc ! OSBL pycnocline present |
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138 | LOGICAL, ALLOCATABLE, SAVE, DIMENSION(:,:) :: l_flux ! Surface flux extends below OSBL into MLE layer |
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139 | LOGICAL, ALLOCATABLE, SAVE, DIMENSION(:,:) :: l_mle ! MLE layer increases in hickness. |
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140 | ! |
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141 | ! Scales |
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142 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: swth0 ! Surface heat flux (Kinematic) |
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143 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: sws0 ! Surface freshwater flux |
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144 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: swb0 ! Surface buoyancy flux |
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145 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: suw0 ! Surface u-momentum flux |
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146 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: sustar ! Friction velocity |
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147 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: scos_wind ! Cos angle of surface stress |
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148 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: ssin_wind ! Sin angle of surface stress |
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149 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: swthav ! Heat flux - bl average |
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150 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: swsav ! Freshwater flux - bl average |
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151 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: swbav ! Buoyancy flux - bl average |
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152 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: sustke ! Surface Stokes drift |
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153 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: dstokes ! Penetration depth of the Stokes drift |
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154 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: swstrl ! Langmuir velocity scale |
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155 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: swstrc ! Convective velocity scale |
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156 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: sla ! Trubulent Langmuir number |
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157 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: svstr ! Velocity scale that tends to sustar for large Langmuir number |
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158 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: shol ! Stability parameter for boundary layer |
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159 | ! |
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160 | ! Layer averages: BL |
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161 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_t_bl ! Temperature average |
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162 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_s_bl ! Salinity average |
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163 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_u_bl ! Velocity average (u) |
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164 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_v_bl ! Velocity average (v) |
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165 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_b_bl ! Buoyancy |
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166 | ! |
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167 | ! Layer averages: ML |
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168 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_t_ml ! Temperature average |
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169 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_s_ml ! Salinity average |
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170 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_u_ml ! Velocity average (u) |
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171 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_v_ml ! Velocity average (v) |
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172 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_b_ml ! Buoyancy |
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173 | ! |
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174 | ! Layer averages: MLE |
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175 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_t_mle ! Temperature average |
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176 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_s_mle ! Salinity average |
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177 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_u_mle ! Velocity average (u) |
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178 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_v_mle ! Velocity average (v) |
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179 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_b_mle ! Buoyancy |
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180 | ! |
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181 | ! ** Namelist namzdf_osm ** |
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182 | LOGICAL :: ln_use_osm_la ! Use namelist rn_osm_la |
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183 | REAL(wp) :: rn_osm_la ! Turbulent Langmuir number |
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184 | REAL(wp) :: rn_osm_dstokes ! Depth scale of Stokes drift |
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185 | REAL(wp) :: rn_zdfosm_adjust_sd = 1.0_wp ! Factor to reduce Stokes drift by |
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186 | REAL(wp) :: rn_osm_hblfrac = 0.1_wp ! For nn_osm_wave = 3/4 specify fraction in top of hbl |
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187 | LOGICAL :: ln_zdfosm_ice_shelter ! Flag to activate ice sheltering |
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188 | REAL(wp) :: rn_osm_hbl0 = 10.0_wp ! Initial value of hbl for 1D runs |
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189 | INTEGER :: nn_ave ! = 0/1 flag for horizontal average on avt |
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190 | INTEGER :: nn_osm_wave = 0 ! = 0/1/2 flag for getting stokes drift from La# / PM wind-waves/Inputs into |
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191 | ! ! sbcwave |
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192 | INTEGER :: nn_osm_SD_reduce ! = 0/1/2 flag for getting effective stokes drift from surface value |
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193 | LOGICAL :: ln_dia_osm ! Use namelist rn_osm_la |
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194 | LOGICAL :: ln_dia_pyc_scl = .FALSE. ! Output of pycnocline scalar-gradient profiles |
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195 | LOGICAL :: ln_dia_pyc_shr = .FALSE. ! Output of pycnocline velocity-shear profiles |
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196 | LOGICAL :: ln_kpprimix = .TRUE. ! Shear instability mixing |
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197 | REAL(wp) :: rn_riinfty = 0.7_wp ! Local Richardson Number limit for shear instability |
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198 | REAL(wp) :: rn_difri = 0.005_wp ! Maximum shear mixing at Rig = 0 (m2/s) |
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199 | LOGICAL :: ln_convmix = .TRUE. ! Convective instability mixing |
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200 | REAL(wp) :: rn_difconv = 1.0_wp ! Diffusivity when unstable below BL (m2/s) |
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201 | ! |
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202 | #ifdef key_osm_debug |
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203 | INTEGER :: nn_idb = 297, nn_jdb = 193, nn_kdb = 35, nn_narea_db = 109 |
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204 | INTEGER :: iloc_db, jloc_db |
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205 | #endif |
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206 | ! |
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207 | ! OSMOSIS mixed layer eddy parametrization constants |
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208 | INTEGER :: nn_osm_mle ! = 0/1 flag for horizontal average on avt |
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209 | REAL(wp) :: rn_osm_mle_ce ! MLE coefficient |
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210 | ! ! Parameters used in nn_osm_mle = 0 case |
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211 | REAL(wp) :: rn_osm_mle_lf ! Typical scale of mixed layer front |
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212 | REAL(wp) :: rn_osm_mle_time ! Time scale for mixing momentum across the mixed layer |
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213 | ! ! Parameters used in nn_osm_mle = 1 case |
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214 | REAL(wp) :: rn_osm_mle_lat ! Reference latitude for a 5 km scale of ML front |
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215 | LOGICAL :: ln_osm_hmle_limit ! If true arbitrarily restrict hmle to rn_osm_hmle_limit*zmld |
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216 | REAL(wp) :: rn_osm_hmle_limit ! If ln_osm_hmle_limit true arbitrarily restrict hmle to rn_osm_hmle_limit*zmld |
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217 | REAL(wp) :: rn_osm_mle_rho_c ! Density criterion for definition of MLD used by FK |
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218 | REAL(wp) :: rb_c ! ML buoyancy criteria = g rho_c /rho0 where rho_c is defined in zdfmld |
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219 | REAL(wp) :: rc_f ! MLE coefficient (= rn_ce / (5 km * fo) ) in nn_osm_mle=1 case |
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220 | REAL(wp) :: rn_osm_mle_thresh ! Threshold buoyancy for deepening of MLE layer below OSBL base |
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221 | REAL(wp) :: rn_osm_bl_thresh ! Threshold buoyancy for deepening of OSBL base |
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222 | REAL(wp) :: rn_osm_mle_tau ! Adjustment timescale for MLE |
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223 | ! |
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224 | ! ** General constants ** |
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225 | REAL(wp) :: epsln = 1.0e-20_wp ! A small positive number to ensure no div by zero |
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226 | REAL(wp) :: depth_tol = 1.0e-6_wp ! A small-ish positive number to give a hbl slightly shallower than gdepw |
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227 | REAL(wp) :: pthird = 1.0_wp/3.0_wp ! 1/3 |
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228 | REAL(wp) :: p2third = 2.0_wp/3.0_wp ! 2/3 |
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229 | ! |
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230 | !! * Substitutions |
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231 | # include "do_loop_substitute.h90" |
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232 | # include "domzgr_substitute.h90" |
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233 | !!---------------------------------------------------------------------- |
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234 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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235 | !! $Id$ |
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236 | !! Software governed by the CeCILL license (see ./LICENSE) |
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237 | !!---------------------------------------------------------------------- |
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238 | CONTAINS |
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239 | |
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240 | INTEGER FUNCTION zdf_osm_alloc() |
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241 | !!---------------------------------------------------------------------- |
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242 | !! *** FUNCTION zdf_osm_alloc *** |
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243 | !!---------------------------------------------------------------------- |
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244 | INTEGER :: ierr |
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245 | ! |
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246 | zdf_osm_alloc = 0 |
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247 | ! |
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248 | ALLOCATE( ghamu(jpi,jpj,jpk), ghamv(jpi,jpj,jpk), ghamt(jpi,jpj,jpk), ghams(jpi,jpj,jpk), hbl(jpi,jpj), hml(jpi,jpj), & |
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249 | & hmle(jpi,jpj), dbdx_mle(jpi,jpj), dbdy_mle(jpi,jpj), mld_prof(jpi,jpj), STAT=ierr ) |
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250 | zdf_osm_alloc = zdf_osm_alloc + ierr |
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251 | ! |
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252 | ALLOCATE( etmean(jpi,jpj,jpk), dh(jpi,jpj), r1_ft(jpi,jpj), STAT=ierr ) |
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253 | zdf_osm_alloc = zdf_osm_alloc + ierr |
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254 | ! |
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255 | ALLOCATE( nbld(jpi,jpj), nmld(jpi,jpj), STAT=ierr ) |
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256 | zdf_osm_alloc = zdf_osm_alloc + ierr |
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257 | ! |
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258 | ALLOCATE( n_ddh(jpi,jpj), STAT=ierr ) |
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259 | zdf_osm_alloc = zdf_osm_alloc + ierr |
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260 | ! |
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261 | ALLOCATE( l_conv(jpi,jpj), l_shear(jpi,jpj), l_coup(jpi,jpj), l_pyc(jpi,jpj), l_flux(jpi,jpj), l_mle(jpi,jpj), STAT=ierr ) |
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262 | zdf_osm_alloc = zdf_osm_alloc + ierr |
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263 | ! |
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264 | ALLOCATE( swth0(jpi,jpj), sws0(jpi,jpj), swb0(jpi,jpj), suw0(jpi,jpj), sustar(jpi,jpj), scos_wind(jpi,jpj), & |
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265 | & ssin_wind(jpi,jpj), swthav(jpi,jpj), swsav(jpi,jpj), swbav(jpi,jpj), sustke(jpi,jpj), dstokes(jpi,jpj), & |
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266 | & swstrl(jpi,jpj), swstrc(jpi,jpj), sla(jpi,jpj), svstr(jpi,jpj), shol(jpi,jpj), STAT=ierr ) |
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267 | zdf_osm_alloc = zdf_osm_alloc + ierr |
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268 | ! |
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269 | ALLOCATE( av_t_bl(jpi,jpj), av_s_bl(jpi,jpj), av_u_bl(jpi,jpj), av_v_bl(jpi,jpj), av_b_bl(jpi,jpj), STAT=ierr) |
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270 | zdf_osm_alloc = zdf_osm_alloc + ierr |
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271 | ! |
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272 | ALLOCATE( av_t_ml(jpi,jpj), av_s_ml(jpi,jpj), av_u_ml(jpi,jpj), av_v_ml(jpi,jpj), av_b_ml(jpi,jpj), STAT=ierr) |
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273 | zdf_osm_alloc = zdf_osm_alloc + ierr |
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274 | ! |
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275 | ALLOCATE( av_t_mle(jpi,jpj), av_s_mle(jpi,jpj), av_u_mle(jpi,jpj), av_v_mle(jpi,jpj), av_b_mle(jpi,jpj), STAT=ierr) |
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276 | zdf_osm_alloc = zdf_osm_alloc + ierr |
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277 | ! |
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278 | CALL mpp_sum ( 'zdfosm', zdf_osm_alloc ) |
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279 | IF( zdf_osm_alloc /= 0 ) CALL ctl_warn( 'zdf_osm_alloc: failed to allocate zdf_osm arrays' ) |
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280 | ! |
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281 | END FUNCTION zdf_osm_alloc |
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282 | |
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283 | SUBROUTINE zdf_osm( kt, Kbb, Kmm, Krhs, p_avm, & |
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284 | & p_avt ) |
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285 | !!---------------------------------------------------------------------- |
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286 | !! *** ROUTINE zdf_osm *** |
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287 | !! |
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288 | !! ** Purpose : Compute the vertical eddy viscosity and diffusivity |
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289 | !! coefficients and non local mixing using the OSMOSIS scheme |
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290 | !! |
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291 | !! ** Method : The boundary layer depth hosm is diagnosed at tracer points |
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292 | !! from profiles of buoyancy, and shear, and the surface forcing. |
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293 | !! Above hbl (sigma=-z/hbl <1) the mixing coefficients are computed from |
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294 | !! |
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295 | !! Kx = hosm Wx(sigma) G(sigma) |
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296 | !! |
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297 | !! and the non local term ghamt = Cs / Ws(sigma) / hosm |
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298 | !! Below hosm the coefficients are the sum of mixing due to internal waves |
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299 | !! shear instability and double diffusion. |
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300 | !! |
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301 | !! -1- Compute the now interior vertical mixing coefficients at all depths. |
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302 | !! -2- Diagnose the boundary layer depth. |
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303 | !! -3- Compute the now boundary layer vertical mixing coefficients. |
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304 | !! -4- Compute the now vertical eddy vicosity and diffusivity. |
---|
305 | !! -5- Smoothing |
---|
306 | !! |
---|
307 | !! N.B. The computation is done from jk=2 to jpkm1 |
---|
308 | !! Surface value of avt are set once a time to zero |
---|
309 | !! in routine zdf_osm_init. |
---|
310 | !! |
---|
311 | !! ** Action : update the non-local terms ghamts |
---|
312 | !! update avt (before vertical eddy coef.) |
---|
313 | !! |
---|
314 | !! References : Large W.G., Mc Williams J.C. and Doney S.C. |
---|
315 | !! Reviews of Geophysics, 32, 4, November 1994 |
---|
316 | !! Comments in the code refer to this paper, particularly |
---|
317 | !! the equation number. (LMD94, here after) |
---|
318 | !!---------------------------------------------------------------------- |
---|
319 | INTEGER , INTENT(in ) :: kt ! Ocean time step |
---|
320 | INTEGER , INTENT(in ) :: Kbb, Kmm, Krhs ! Ocean time level indices |
---|
321 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: p_avm, p_avt ! Momentum and tracer Kz (w-points) |
---|
322 | ! |
---|
323 | ! Local variables |
---|
324 | INTEGER :: ji, jj, jk, jl, jm, jkflt ! Dummy loop indices |
---|
325 | ! |
---|
326 | REAL(wp) :: zthermal, zbeta |
---|
327 | REAL(wp) :: zesh2, zri, zfri ! Interior Richardson mixing |
---|
328 | ! |
---|
329 | ! Scales |
---|
330 | REAL(wp), DIMENSION(A2D(0)) :: zrad0 ! Surface solar temperature flux (deg m/s) |
---|
331 | REAL(wp), DIMENSION(A2D(0)) :: zradh ! Radiative flux at bl base (Buoyancy units) |
---|
332 | REAL(wp) :: zradav ! Radiative flux, bl average (Buoyancy Units) |
---|
333 | REAL(wp) :: zvw0 ! Surface v-momentum flux |
---|
334 | REAL(wp), DIMENSION(A2D(0)) :: zwb0tot ! Total surface buoyancy flux including insolation |
---|
335 | REAL(wp), DIMENSION(jpi,jpj) :: zwb_ent ! Buoyancy entrainment flux |
---|
336 | REAL(wp), DIMENSION(jpi,jpj) :: zwb_min |
---|
337 | REAL(wp), DIMENSION(jpi,jpj) :: zwb_fk_b ! MLE buoyancy flux averaged over OSBL |
---|
338 | REAL(wp), DIMENSION(jpi,jpj) :: zwb_fk ! Max MLE buoyancy flux |
---|
339 | REAL(wp), DIMENSION(jpi,jpj) :: zdiff_mle ! Extra MLE vertical diff |
---|
340 | REAL(wp), DIMENSION(jpi,jpj) :: zvel_mle ! Velocity scale for dhdt with stable ML and FK |
---|
341 | ! |
---|
342 | ! mixed-layer variables |
---|
343 | INTEGER, DIMENSION(jpi,jpj) :: jp_ext ! Offset for external level |
---|
344 | ! |
---|
345 | REAL(wp), DIMENSION(jpi,jpj) :: zhbl ! BL depth - grid |
---|
346 | REAL(wp), DIMENSION(jpi,jpj) :: zhml ! ML depth - grid |
---|
347 | ! |
---|
348 | REAL(wp), DIMENSION(jpi,jpj) :: zhmle ! MLE depth - grid |
---|
349 | REAL(wp), DIMENSION(jpi,jpj) :: zmld ! ML depth on grid |
---|
350 | ! |
---|
351 | REAL(wp), DIMENSION(jpi,jpj) :: zdh ! Pycnocline depth - grid |
---|
352 | REAL(wp), DIMENSION(A2D(0)) :: zdhdt ! BL depth tendency |
---|
353 | REAL(wp), DIMENSION(A2D(0)) :: zdtdz_bl_ext, zdsdz_bl_ext, zdbdz_bl_ext ! External temperature/salinity and buoyancy gradients |
---|
354 | REAL(wp), DIMENSION(jpi,jpj) :: zdtdx, zdtdy, zdsdx, zdsdy ! Horizontal gradients for Fox-Kemper parametrization. |
---|
355 | ! |
---|
356 | REAL(wp), DIMENSION(jpi,jpj) :: zdt_bl,zds_bl,zdu_bl,zdv_bl,zdb_bl ! Difference between blayer average and parameter at base of blayer |
---|
357 | REAL(wp), DIMENSION(jpi,jpj) :: zdt_ml,zds_ml,zdu_ml,zdv_ml,zdb_ml ! Difference between mixed layer average and parameter at base of blayer |
---|
358 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdbdz_pyc ! parametrised gradient of buoyancy in the pycnocline |
---|
359 | REAL(wp), DIMENSION(jpi,jpj) :: zdbds_mle ! Magnitude of horizontal buoyancy gradient. |
---|
360 | ! Flux-gradient relationship variables |
---|
361 | REAL(wp), DIMENSION(jpi,jpj) :: zshear ! Shear production |
---|
362 | ! |
---|
363 | REAL(wp), DIMENSION(jpi,jpj) :: zhbl_t ! Holds boundary layer depth updated by full timestep |
---|
364 | ! |
---|
365 | ! For calculating Ri#-dependent mixing |
---|
366 | REAL(wp), DIMENSION(jpi,jpj) :: z2du ! u-shear^2 |
---|
367 | REAL(wp), DIMENSION(jpi,jpj) :: z2dv ! v-shear^2 |
---|
368 | REAL(wp) :: zrimix ! Spatial form of ri#-induced diffusion |
---|
369 | ! |
---|
370 | ! Temporary variables |
---|
371 | REAL(wp) :: znd ! Temporary non-dimensional depth |
---|
372 | REAL(wp) :: zz0, zz1, zfac |
---|
373 | REAL(wp) :: zus_x, zus_y ! Temporary Stokes drift |
---|
374 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zviscos ! Viscosity |
---|
375 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdiffut ! t-diffusivity |
---|
376 | REAL(wp), DIMENSION(jpi,jpj) :: zalpha_pyc |
---|
377 | REAL(wp) :: zabsstke |
---|
378 | REAL(wp) :: zsqrtpi, z_two_thirds, zthickness |
---|
379 | REAL(wp) :: z2k_times_thickness, zsqrt_depth, zexp_depth, zf, zexperfc |
---|
380 | ! |
---|
381 | ! For debugging |
---|
382 | REAL(wp), PARAMETER :: pp_large = -1e10_wp |
---|
383 | ! |
---|
384 | IF( ln_timing ) CALL timing_start('zdf_osm') |
---|
385 | ! |
---|
386 | nbld(:,:) = 0 ; nmld(:,:) = 0 |
---|
387 | sustar(:,:) = pp_large |
---|
388 | swstrl(:,:) = pp_large ; svstr(:,:) = pp_large ; swstrc(:,:) = pp_large ; suw0(:,:) = pp_large |
---|
389 | swth0(:,:) = pp_large ; sws0(:,:) = pp_large ; swb0(:,:) = pp_large |
---|
390 | swthav(:,:) = pp_large ; swsav(:,:) = pp_large ; swbav(:,:) = pp_large |
---|
391 | sustke(:,:) = pp_large ; sla(:,:) = pp_large ; scos_wind(:,:) = pp_large ; ssin_wind(:,:) = pp_large |
---|
392 | shol(:,:) = pp_large ; zalpha_pyc(:,:) = pp_large |
---|
393 | l_pyc(:,:) = .FALSE. ; l_flux(:,:) = .FALSE. ; l_mle(:,:) = .FALSE. |
---|
394 | ! Mixed layer |
---|
395 | ! No initialization of zhbl or zhml (or zdh?) |
---|
396 | zhbl(:,:) = pp_large ; zhml(:,:) = pp_large ; zdh(:,:) = pp_large |
---|
397 | av_t_bl(:,:) = pp_large ; av_s_bl(:,:) = pp_large ; av_u_bl(:,:) = pp_large |
---|
398 | av_v_bl(:,:) = pp_large ; av_b_bl(:,:) = pp_large ; av_t_ml(:,:) = pp_large |
---|
399 | av_s_ml(:,:) = pp_large ; av_u_ml(:,:) = pp_large ; av_v_ml(:,:) = pp_large |
---|
400 | av_b_ml(:,:) = pp_large ; av_t_mle(:,:) = pp_large ; av_s_mle(:,:) = pp_large |
---|
401 | av_u_mle(:,:) = pp_large ; av_v_mle(:,:) = pp_large ; av_b_mle(:,:) = pp_large |
---|
402 | zdt_bl(:,:) = pp_large ; zds_bl(:,:) = pp_large ; zdu_bl(:,:) = pp_large |
---|
403 | zdv_bl(:,:) = pp_large ; zdb_bl(:,:) = pp_large ; zdt_ml(:,:) = pp_large |
---|
404 | zds_ml(:,:) = pp_large ; zdu_ml(:,:) = pp_large ; zdv_ml(:,:) = pp_large |
---|
405 | zdb_ml(:,:) = pp_large |
---|
406 | ! |
---|
407 | zdbdz_pyc(:,:,:) = pp_large |
---|
408 | zdbdz_pyc(A2D(0),:) = 0.0_wp |
---|
409 | ! |
---|
410 | IF ( ln_osm_mle ) THEN ! Only initialise arrays if needed |
---|
411 | zdtdx(:,:) = pp_large ; zdtdy(:,:) = pp_large ; zdsdx(:,:) = pp_large |
---|
412 | zdsdy(:,:) = pp_large ; dbdx_mle(:,:) = pp_large ; dbdy_mle(:,:) = pp_large |
---|
413 | zwb_fk(:,:) = pp_large ; zvel_mle(:,:) = pp_large ; zdiff_mle(:,:) = pp_large |
---|
414 | zhmle(:,:) = pp_large ; zmld(:,:) = pp_large |
---|
415 | ENDIF |
---|
416 | zhbl_t(:,:) = pp_large |
---|
417 | ! |
---|
418 | zdiffut(:,:,:) = pp_large ; zviscos(:,:,:) = pp_large |
---|
419 | zdiffut(A2D(0),:) = 0.0_wp ; zviscos(A2D(0),:) = 0.0_wp |
---|
420 | ghamt(:,:,:) = pp_large ; ghams(:,:,:) = pp_large |
---|
421 | ghamt(A2D(0),:) = 0.0_wp ; ghams(A2D(0),:) = 0.0_wp |
---|
422 | ghamu(:,:,:) = pp_large ; ghamv(:,:,:) = pp_large |
---|
423 | ghamu(A2D(0),:) = 0.0_wp ; ghamv(A2D(0),:) = 0.0_wp |
---|
424 | zdiff_mle(A2D(0)) = 0.0_wp |
---|
425 | ! |
---|
426 | #ifdef key_osm_debug |
---|
427 | IF(mi0(nn_idb)==mi1(nn_idb) .AND. mj0(nn_jdb)==mj1(nn_jdb) .AND. & |
---|
428 | & mi0(nn_idb) > 1 .AND. mi0(nn_idb) < jpi .AND. mj0(nn_jdb) > 1 .AND. mj0(nn_jdb) < jpj) THEN |
---|
429 | nn_narea_db = narea |
---|
430 | iloc_db=mi0(nn_idb); jloc_db=mj0(nn_jdb) |
---|
431 | WRITE(narea+100,*) |
---|
432 | WRITE(narea+100,'(a,i7)')'timestep=',kt |
---|
433 | WRITE(narea+100,'(3(a,i7))')'narea=',narea,' nn_idb',nn_idb,' nn_jdb=',nn_jdb |
---|
434 | WRITE(narea+100,'(4(a,i7))')'iloc_db=',iloc_db,' jloc_db',jloc_db,' jpi=',jpi,' jpj=',jpj |
---|
435 | ji=iloc_db; jj=jloc_db |
---|
436 | WRITE(narea+100,'(a,i7,5(a,g10.2))')'mbkt=',mbkt(ji,jj),' ht_n',ht(ji,jj),& |
---|
437 | &' hu_n-',hu(ji-1,jj,Kmm),' hu_n+',hu(ji,jj,Kmm), ' hv_n-',hv(ji,jj-1,Kmm),' hv_n+',hv(ji,jj,Kmm) |
---|
438 | WRITE(narea+100,*) |
---|
439 | FLUSH(narea+100) |
---|
440 | ELSE |
---|
441 | nn_narea_db = -1000 |
---|
442 | END IF |
---|
443 | #endif |
---|
444 | ! |
---|
445 | ! hbl = MAX(hbl,epsln) |
---|
446 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
447 | ! Calculate boundary layer scales |
---|
448 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
449 | ! |
---|
450 | ! Turbulent surface fluxes and fluxes averaged over depth of the OSBL |
---|
451 | zz0 = rn_abs ! Assume two-band radiation model for depth of OSBL - surface equi-partition in 2-bands |
---|
452 | zz1 = 1.0_wp - rn_abs |
---|
453 | DO_2D( 0, 0, 0, 0 ) |
---|
454 | zrad0(ji,jj) = qsr(ji,jj) * r1_rho0_rcp ! Surface downward irradiance (so always +ve) |
---|
455 | zradh(ji,jj) = zrad0(ji,jj) * & ! Downwards irradiance at base of boundary layer |
---|
456 | & ( zz0 * EXP( -1.0_wp * hbl(ji,jj) / rn_si0 ) + zz1 * EXP( -1.0_wp * hbl(ji,jj) / rn_si1 ) ) |
---|
457 | zradav = zrad0(ji,jj) * & ! Downwards irradiance averaged |
---|
458 | & ( zz0 * ( 1.0_wp - EXP( -hbl(ji,jj)/rn_si0 ) ) * rn_si0 + & ! over depth of the OSBL |
---|
459 | & zz1 * ( 1.0_wp - EXP( -hbl(ji,jj)/rn_si1 ) ) * rn_si1 ) / hbl(ji,jj) |
---|
460 | swth0(ji,jj) = - qns(ji,jj) * r1_rho0_rcp * tmask(ji,jj,1) ! Upwards surface Temperature flux for non-local term |
---|
461 | swthav(ji,jj) = 0.5_wp * swth0(ji,jj) - ( 0.5_wp * ( zrad0(ji,jj) + zradh(ji,jj) ) - & ! Turbulent heat flux averaged |
---|
462 | & zradav ) ! over depth of OSBL |
---|
463 | END_2D |
---|
464 | DO_2D( 0, 0, 0, 0 ) |
---|
465 | sws0(ji,jj) = -1.0_wp * ( ( emp(ji,jj) - rnf(ji,jj) ) * ts(ji,jj,1,jp_sal,Kmm) + & ! Upwards surface salinity flux |
---|
466 | & sfx(ji,jj) ) * r1_rho0 * tmask(ji,jj,1) ! for non-local term |
---|
467 | zthermal = rab_n(ji,jj,1,jp_tem) |
---|
468 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
469 | swb0(ji,jj) = grav * zthermal * swth0(ji,jj) - grav * zbeta * sws0(ji,jj) ! Non radiative upwards surface buoyancy flux |
---|
470 | zwb0tot(ji,jj) = swb0(ji,jj) - grav * zthermal * ( zrad0(ji,jj) - zradh(ji,jj) ) ! Total upwards surface buoyancy flux |
---|
471 | swsav(ji,jj) = 0.5_wp * sws0(ji,jj) ! Turbulent salinity flux averaged over depth of the OBSL |
---|
472 | swbav(ji,jj) = grav * zthermal * swthav(ji,jj) - & ! Turbulent buoyancy flux averaged over the depth of the |
---|
473 | & grav * zbeta * swsav(ji,jj) ! OBSBL |
---|
474 | END_2D |
---|
475 | DO_2D( 0, 0, 0, 0 ) |
---|
476 | suw0(ji,jj) = -0.5_wp * (utau(ji-1,jj) + utau(ji,jj)) * r1_rho0 * tmask(ji,jj,1) ! Surface upward velocity fluxes |
---|
477 | zvw0 = -0.5_wp * (vtau(ji,jj-1) + vtau(ji,jj)) * r1_rho0 * tmask(ji,jj,1) |
---|
478 | sustar(ji,jj) = MAX( SQRT( SQRT( suw0(ji,jj) * suw0(ji,jj) + zvw0 * zvw0 ) ), & ! Friction velocity (sustar), at |
---|
479 | & 1e-8_wp ) ! T-point : LMD94 eq. 2 |
---|
480 | scos_wind(ji,jj) = -1.0_wp * suw0(ji,jj) / ( sustar(ji,jj) * sustar(ji,jj) ) |
---|
481 | ssin_wind(ji,jj) = -1.0_wp * zvw0 / ( sustar(ji,jj) * sustar(ji,jj) ) |
---|
482 | #ifdef key_osm_debug |
---|
483 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
484 | zthermal = rab_n(ji,jj,1,jp_tem) |
---|
485 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
486 | zradav = zrad0(ji,jj) * ( zz0 * ( 1.0_wp - EXP( -hbl(ji,jj)/rn_si0 ) ) * rn_si0 + & |
---|
487 | & zz1 * ( 1.0_wp - EXP( -hbl(ji,jj)/rn_si1 ) ) * rn_si1 ) / hbl(ji,jj) |
---|
488 | WRITE(narea+100,'(4(3(a,g11.3),/), 2(a,g11.3),/)') & |
---|
489 | & 'after calculating fluxes: hbl=', hbl(ji,jj),' zthermal=',zthermal, ' zbeta=', zbeta,& |
---|
490 | & ' zrad0=', zrad0(ji,jj),' zradh=', zradh(ji,jj), ' zradav=', zradav, & |
---|
491 | & ' swth0=', swth0(ji,jj), ' swthav=', swthav(ji,jj), ' sws0=', sws0(ji,jj), & |
---|
492 | & ' swb0=', swb0(ji,jj), ' zwb0tot=', zwb0tot(ji,jj), ' zwb0tot_in hbl=', zwb0tot(ji,jj) + grav * zthermal * zradh(ji,jj),& |
---|
493 | & ' swbav=', swbav(ji,jj) |
---|
494 | FLUSH(narea+100) |
---|
495 | END IF |
---|
496 | #endif |
---|
497 | END_2D |
---|
498 | ! Calculate Stokes drift in direction of wind (sustke) and Stokes penetration depth (dstokes) |
---|
499 | SELECT CASE (nn_osm_wave) |
---|
500 | ! Assume constant La#=0.3 |
---|
501 | CASE(0) |
---|
502 | DO_2D( 0, 0, 0, 0 ) |
---|
503 | zus_x = scos_wind(ji,jj) * sustar(ji,jj) / 0.3_wp**2 |
---|
504 | zus_y = ssin_wind(ji,jj) * sustar(ji,jj) / 0.3_wp**2 |
---|
505 | ! Linearly |
---|
506 | sustke(ji,jj) = MAX( SQRT( zus_x * zus_x + zus_y * zus_y ), 1e-8_wp ) |
---|
507 | dstokes(ji,jj) = rn_osm_dstokes |
---|
508 | END_2D |
---|
509 | ! Assume Pierson-Moskovitz wind-wave spectrum |
---|
510 | CASE(1) |
---|
511 | DO_2D( 0, 0, 0, 0 ) |
---|
512 | ! Use wind speed wndm included in sbc_oce module |
---|
513 | sustke(ji,jj) = MAX ( 0.016_wp * wndm(ji,jj), 1e-8_wp ) |
---|
514 | dstokes(ji,jj) = MAX ( 0.12_wp * wndm(ji,jj)**2 / grav, 5e-1_wp ) |
---|
515 | END_2D |
---|
516 | ! Use ECMWF wave fields as output from SBCWAVE |
---|
517 | CASE(2) |
---|
518 | zfac = 2.0_wp * rpi / 16.0_wp |
---|
519 | ! |
---|
520 | DO_2D( 0, 0, 0, 0 ) |
---|
521 | IF ( hsw(ji,jj) > 1e-4_wp ) THEN |
---|
522 | ! Use wave fields |
---|
523 | zabsstke = SQRT( ut0sd(ji,jj)**2 + vt0sd(ji,jj)**2 ) |
---|
524 | sustke(ji,jj) = MAX( ( scos_wind(ji,jj) * ut0sd(ji,jj) + ssin_wind(ji,jj) * vt0sd(ji,jj) ), 1e-8_wp ) |
---|
525 | dstokes(ji,jj) = MAX( zfac * hsw(ji,jj) * hsw(ji,jj) / ( MAX( zabsstke * wmp(ji,jj), 1e-7 ) ), 5e-1_wp ) |
---|
526 | ELSE |
---|
527 | ! Assume masking issue (e.g. ice in ECMWF reanalysis but not in model run) |
---|
528 | ! .. so default to Pierson-Moskowitz |
---|
529 | sustke(ji,jj) = MAX( 0.016_wp * wndm(ji,jj), 1e-8_wp ) |
---|
530 | dstokes(ji,jj) = MAX( 0.12_wp * wndm(ji,jj)**2 / grav, 5e-1_wp ) |
---|
531 | END IF |
---|
532 | END_2D |
---|
533 | END SELECT |
---|
534 | #ifdef key_osm_debug |
---|
535 | IF(narea==nn_narea_db)THEN |
---|
536 | WRITE(narea+100,'(2(a,g11.3))') & |
---|
537 | & 'Before reduction: sustke=', sustke(iloc_db,jloc_db),' dstokes =',dstokes(iloc_db,jloc_db) |
---|
538 | FLUSH(narea+100) |
---|
539 | END IF |
---|
540 | #endif |
---|
541 | ! |
---|
542 | IF (ln_zdfosm_ice_shelter) THEN |
---|
543 | ! Reduce both Stokes drift and its depth scale by ocean fraction to represent sheltering by ice |
---|
544 | DO_2D( 0, 0, 0, 0 ) |
---|
545 | sustke(ji,jj) = sustke(ji,jj) * ( 1.0_wp - fr_i(ji,jj) ) |
---|
546 | dstokes(ji,jj) = dstokes(ji,jj) * ( 1.0_wp - fr_i(ji,jj) ) |
---|
547 | END_2D |
---|
548 | END IF |
---|
549 | ! |
---|
550 | SELECT CASE (nn_osm_SD_reduce) |
---|
551 | ! Reduce surface Stokes drift by a constant factor or following Breivik (2016) + van Roekel (2012) or Grant (2020). |
---|
552 | CASE(0) |
---|
553 | ! The Langmur number from the ECMWF model (or from PM) appears to give La<0.3 for wind-driven seas. |
---|
554 | ! The coefficient rn_zdfosm_adjust_sd = 0.8 gives La=0.3 in this situation. |
---|
555 | ! It could represent the effects of the spread of wave directions around the mean wind. The effect of this adjustment needs to be tested. |
---|
556 | IF(nn_osm_wave > 0) THEN |
---|
557 | sustke(A2D(0)) = rn_zdfosm_adjust_sd * sustke(A2D(0)) |
---|
558 | END IF |
---|
559 | CASE(1) |
---|
560 | ! Van Roekel (2012): consider average SD over top 10% of boundary layer |
---|
561 | ! Assumes approximate depth profile of SD from Breivik (2016) |
---|
562 | zsqrtpi = SQRT(rpi) |
---|
563 | z_two_thirds = 2.0_wp / 3.0_wp |
---|
564 | DO_2D( 0, 0, 0, 0 ) |
---|
565 | zthickness = rn_osm_hblfrac*hbl(ji,jj) |
---|
566 | z2k_times_thickness = zthickness * 2.0_wp / MAX( ABS( 5.97_wp * dstokes(ji,jj) ), 1e-7_wp ) |
---|
567 | zsqrt_depth = SQRT( z2k_times_thickness ) |
---|
568 | zexp_depth = EXP( -1.0_wp * z2k_times_thickness ) |
---|
569 | sustke(ji,jj) = sustke(ji,jj) * ( 1.0_wp - zexp_depth - & |
---|
570 | & z_two_thirds * ( zsqrtpi * zsqrt_depth * z2k_times_thickness * ERFC(zsqrt_depth) + & |
---|
571 | & 1.0_wp - ( 1.0_wp + z2k_times_thickness ) * zexp_depth ) ) / & |
---|
572 | & z2k_times_thickness |
---|
573 | END_2D |
---|
574 | CASE(2) |
---|
575 | ! Grant (2020): Match to exponential with same SD and d/dz(Sd) at depth 10% of boundary layer |
---|
576 | ! Assumes approximate depth profile of SD from Breivik (2016) |
---|
577 | zsqrtpi = SQRT(rpi) |
---|
578 | DO_2D( 0, 0, 0, 0 ) |
---|
579 | zthickness = rn_osm_hblfrac*hbl(ji,jj) |
---|
580 | z2k_times_thickness = zthickness * 2.0_wp / MAX( ABS( 5.97_wp * dstokes(ji,jj) ), 1e-7_wp ) |
---|
581 | IF( z2k_times_thickness < 50.0_wp ) THEN |
---|
582 | zsqrt_depth = SQRT( z2k_times_thickness ) |
---|
583 | zexperfc = zsqrtpi * zsqrt_depth * ERFC(zsqrt_depth) * EXP( z2k_times_thickness ) |
---|
584 | ELSE |
---|
585 | ! Asymptotic expansion of sqrt(pi)*zsqrt_depth*EXP(z2k_times_thickness)*ERFC(zsqrt_depth) for large z2k_times_thickness |
---|
586 | ! See Abramowitz and Stegun, Eq. 7.1.23 |
---|
587 | ! zexperfc = 1._wp - (1/2)/(z2k_times_thickness) + (3/4)/(z2k_times_thickness**2) - (15/8)/(z2k_times_thickness**3) |
---|
588 | zexperfc = ( ( -1.875_wp / z2k_times_thickness + 0.75_wp ) / z2k_times_thickness - 0.5_wp ) / & |
---|
589 | & z2k_times_thickness + 1.0_wp |
---|
590 | END IF |
---|
591 | zf = z2k_times_thickness * ( 1.0_wp / zexperfc - 1.0_wp ) |
---|
592 | dstokes(ji,jj) = 5.97_wp * zf * dstokes(ji,jj) |
---|
593 | sustke(ji,jj) = sustke(ji,jj) * EXP( z2k_times_thickness * ( 1.0_wp / ( 2.0_wp * zf ) - 1.0_wp ) ) * & |
---|
594 | & ( 1.0_wp - zexperfc ) |
---|
595 | END_2D |
---|
596 | END SELECT |
---|
597 | ! |
---|
598 | ! Langmuir velocity scale (swstrl), La # (sla) |
---|
599 | ! Mixed scale (svstr), convective velocity scale (swstrc) |
---|
600 | DO_2D( 0, 0, 0, 0 ) |
---|
601 | ! Langmuir velocity scale (swstrl), at T-point |
---|
602 | swstrl(ji,jj) = ( sustar(ji,jj) * sustar(ji,jj) * sustke(ji,jj) )**pthird |
---|
603 | sla(ji,jj) = MAX( MIN( SQRT( sustar(ji,jj) / ( swstrl(ji,jj) + epsln ) )**3, 4.0_wp ), 0.2_wp ) |
---|
604 | IF ( sla(ji,jj) > 0.45_wp ) dstokes(ji,jj) = MIN( dstokes(ji,jj), 0.5_wp * hbl(ji,jj) ) |
---|
605 | ! Velocity scale that tends to sustar for large Langmuir numbers |
---|
606 | svstr(ji,jj) = ( swstrl(ji,jj)**3 + ( 1.0_wp - EXP( -0.5_wp * sla(ji,jj)**2 ) ) * sustar(ji,jj) * sustar(ji,jj) * & |
---|
607 | & sustar(ji,jj) )**pthird |
---|
608 | ! |
---|
609 | ! Limit maximum value of Langmuir number as approximate treatment for shear turbulence |
---|
610 | ! Note sustke and swstrl are not amended |
---|
611 | ! |
---|
612 | ! Get convective velocity (swstrc), stabilty scale (shol) and logical conection flag l_conv |
---|
613 | IF ( swbav(ji,jj) > 0.0_wp ) THEN |
---|
614 | swstrc(ji,jj) = ( 2.0_wp * swbav(ji,jj) * 0.9_wp * hbl(ji,jj) )**pthird |
---|
615 | shol(ji,jj) = -0.9_wp * hbl(ji,jj) * 2.0_wp * swbav(ji,jj) / ( svstr(ji,jj)**3 + epsln ) |
---|
616 | ELSE |
---|
617 | swstrc(ji,jj) = 0.0_wp |
---|
618 | shol(ji,jj) = -1.0_wp * hbl(ji,jj) * 2.0_wp * swbav(ji,jj) / ( svstr(ji,jj)**3 + epsln ) |
---|
619 | ENDIF |
---|
620 | #ifdef key_osm_debug |
---|
621 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
622 | WRITE(narea+100,'(2(a,g11.3),/,3(a,g11.3),/,3(a,g11.3),/)') & |
---|
623 | & 'After reduction: sustke=', sustke(ji,jj), ' dstokes=', dstokes(ji,jj), & |
---|
624 | & ' zustar =', sustar(ji,jj), ' swstrl=', swstrl(ji,jj), ' swstrc=', swstrc(ji,jj),& |
---|
625 | & ' shol=', shol(ji,jj), ' sla=', sla(ji,jj), ' svstr=', svstr(ji,jj) |
---|
626 | FLUSH(narea+100) |
---|
627 | END IF |
---|
628 | #endif |
---|
629 | END_2D |
---|
630 | ! |
---|
631 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
632 | ! Mixed-layer model - calculate averages over the boundary layer, and the change in the boundary layer depth |
---|
633 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
634 | ! BL must be always 4 levels deep. |
---|
635 | ! For calculation of lateral buoyancy gradients for FK in |
---|
636 | ! zdf_osm_zmld_horizontal_gradients need halo values for nbld, so must |
---|
637 | ! previously exist for hbl also. |
---|
638 | ! |
---|
639 | ! agn 23/6/20: not clear all this is needed, as hbl checked after it is re-calculated anyway |
---|
640 | ! ########################################################################## |
---|
641 | hbl(:,:) = MAX(hbl(:,:), gdepw(:,:,4,Kmm) ) |
---|
642 | nbld(:,:) = 4 |
---|
643 | DO_3D( 1, 1, 1, 1, 5, jpkm1 ) |
---|
644 | IF ( hbl(ji,jj) >= gdepw(ji,jj,jk,Kmm) ) THEN |
---|
645 | nbld(ji,jj) = MIN(mbkt(ji,jj)-2, jk) |
---|
646 | ENDIF |
---|
647 | END_3D |
---|
648 | ! ########################################################################## |
---|
649 | ! |
---|
650 | DO_2D( 0, 0, 0, 0 ) |
---|
651 | zhbl(ji,jj) = gdepw(ji,jj,nbld(ji,jj),Kmm) |
---|
652 | nmld(ji,jj) = MAX( 3, nbld(ji,jj) - MAX( INT( dh(ji,jj) / e3t(ji,jj,nbld(ji,jj)-1,Kmm) ), 1 ) ) |
---|
653 | zhml(ji,jj) = gdepw(ji,jj,nmld(ji,jj),Kmm) |
---|
654 | zdh(ji,jj) = zhbl(ji,jj) - zhml(ji,jj) |
---|
655 | END_2D |
---|
656 | #ifdef key_osm_debug |
---|
657 | IF(narea==nn_narea_db) THEN |
---|
658 | ji=iloc_db; jj=jloc_db |
---|
659 | WRITE(narea+100,'(2(a,g11.3),/,3(a,g11.3),/,2(a,i7),/)') & |
---|
660 | & 'Before updating hbl: hbl=', hbl(ji,jj), ' dh=', dh(ji,jj), & |
---|
661 | &' zhbl =',zhbl(ji,jj) , ' zhml=', zhml(ji,jj), ' zdh=', zdh(ji,jj),& |
---|
662 | &' imld=', nmld(ji,jj), ' ibld=', nbld(ji,jj) |
---|
663 | WRITE(narea+100,'(a,g11.3,a,2g11.3)') 'Physics: ssh ',ssh(ji,jj,Kmm),' T S surface=',ts(ji,jj,1,jp_tem,Kmm),ts(ji,jj,1,jp_sal,Kmm) |
---|
664 | jl = nmld(ji,jj) - 1; jm = MIN( nbld(ji,jj) + 2, mbkt(ji,jj) ) |
---|
665 | WRITE(narea+100,'(a,*(g11.3))') ' T[imld-1..ibld+2] =', ( ts(ji,jj,jk,jp_tem,Kmm), jk=jl,jm ) |
---|
666 | WRITE(narea+100,'(a,*(g11.3))') ' S[imld-1..ibld+2] =', ( ts(ji,jj,jk,jp_sal,Kmm), jk=jl,jm ) |
---|
667 | WRITE(narea+100,'(a,*(g11.3))') ' U+[imld-1..ibld+2] =', ( uu(ji,jj,jk,Kmm), jk=jl,jm ) |
---|
668 | WRITE(narea+100,'(a,*(g11.3))') ' U-[imld-1..ibld+2] =', ( uu(ji-1,jj,jk,Kmm), jk=jl,jm ) |
---|
669 | WRITE(narea+100,'(a,*(g11.3))') ' V+[imld-1..ibld+2] =', ( vv(ji,jj,jk,Kmm), jk=jl,jm ) |
---|
670 | WRITE(narea+100,'(a,*(g11.3))') ' V-[imld-1..ibld+2] =', ( vv(ji,jj-1,jk,Kmm), jk=jl,jm ) |
---|
671 | WRITE(narea+100,'(a,*(g11.3))') ' W[imld-1..ibld+2] =', ( ww(ji,jj-1,jk), jk=jl,jm ) |
---|
672 | WRITE(narea+100,*) |
---|
673 | FLUSH(narea+100) |
---|
674 | END IF |
---|
675 | #endif |
---|
676 | ! |
---|
677 | ! Averages over well-mixed and boundary layer, note BL averages use jp_ext=2 everywhere |
---|
678 | jp_ext(:,:) = 1 ! ag 19/03 |
---|
679 | CALL zdf_osm_vertical_average( Kbb, Kmm, nbld, av_t_bl, av_s_bl, & |
---|
680 | & av_b_bl, av_u_bl, av_v_bl, jp_ext, zdt_bl, & |
---|
681 | & zds_bl, zdb_bl, zdu_bl, zdv_bl ) |
---|
682 | jp_ext(:,:) = nbld(:,:) - nmld(:,:) + jp_ext(:,:) + 1 ! ag 19/03 |
---|
683 | CALL zdf_osm_vertical_average( Kbb, Kmm, nmld - 1, av_t_ml, av_s_ml, & |
---|
684 | & av_b_ml, av_u_ml, av_v_ml, jp_ext, zdt_ml, & |
---|
685 | & zds_ml, zdb_ml, zdu_ml, zdv_ml ) |
---|
686 | #ifdef key_osm_debug |
---|
687 | IF(narea==nn_narea_db) THEN |
---|
688 | ji=iloc_db; jj=jloc_db |
---|
689 | WRITE(narea+100,'(4(3(a,g11.3),/), 2(4(a,g11.3),/))') & |
---|
690 | & 'After averaging, with old hbl (& jp_ext==2), hml: zt_bl=', av_t_bl(ji,jj),& |
---|
691 | & ' zs_bl=', av_s_bl(ji,jj), ' zb_bl=', av_b_bl(ji,jj),& |
---|
692 | & 'zdt_bl=', zdt_bl(ji,jj), ' zds_bl=', zds_bl(ji,jj), ' zdb_bl=', zdb_bl(ji,jj),& |
---|
693 | & 'zt_ml=', av_t_ml(ji,jj), ' zs_ml=', av_s_ml(ji,jj), ' zb_ml=', av_b_ml(ji,jj),& |
---|
694 | & 'zdt_ml=', zdt_ml(ji,jj), ' zds_ml=', zds_ml(ji,jj), ' zdb_ml=', zdb_ml(ji,jj),& |
---|
695 | & 'zu_bl =', av_u_bl(ji,jj) , ' zv_bl=', av_v_bl(ji,jj), ' zdu_bl=', zdu_bl(ji,jj), ' zdv_bl=', zdv_bl(ji,jj),& |
---|
696 | & 'zu_ml =', av_u_ml(ji,jj) , ' zv_ml=', av_v_ml(ji,jj), ' zdu_ml=', zdu_ml(ji,jj), ' zdv_ml=', zdv_ml(ji,jj) |
---|
697 | FLUSH(narea+100) |
---|
698 | END IF |
---|
699 | #endif |
---|
700 | ! Velocity components in frame aligned with surface stress |
---|
701 | CALL zdf_osm_velocity_rotation( av_u_ml, av_v_ml ) |
---|
702 | CALL zdf_osm_velocity_rotation( zdu_ml, zdv_ml ) |
---|
703 | CALL zdf_osm_velocity_rotation( av_u_bl, av_v_bl ) |
---|
704 | CALL zdf_osm_velocity_rotation( zdu_bl, zdv_bl ) |
---|
705 | #ifdef key_osm_debug |
---|
706 | IF(narea==nn_narea_db) THEN |
---|
707 | ji=iloc_db; jj=jloc_db |
---|
708 | WRITE(narea+100,'(a,/, 2(4(a,g11.3),/))') & |
---|
709 | & 'After rotation, with old hbl (& jp_ext==2), hml:', & |
---|
710 | & 'zu_bl =', av_u_bl(ji,jj) , ' zv_bl=', av_v_bl(ji,jj), ' zdu_bl=', zdu_bl(ji,jj), ' zdv_bl=', zdv_bl(ji,jj),& |
---|
711 | & 'zu_ml =', av_u_ml(ji,jj) , ' zv_ml=', av_v_ml(ji,jj), ' zdu_ml=', zdu_ml(ji,jj), ' zdv_ml=', zdv_ml(ji,jj) |
---|
712 | FLUSH(narea+100) |
---|
713 | END IF |
---|
714 | #endif |
---|
715 | ! |
---|
716 | ! Determine the state of the OSBL, stable/unstable, shear/no shear |
---|
717 | CALL zdf_osm_osbl_state( Kmm, zwb_ent, zwb_min, zshear, zhbl, & |
---|
718 | & zhml, zdh, zdb_bl, zdu_bl, zdv_bl, & |
---|
719 | & zdb_ml, zdu_ml, zdv_ml ) |
---|
720 | ! |
---|
721 | #ifdef key_osm_debug |
---|
722 | IF(narea==nn_narea_db) THEN |
---|
723 | ji=iloc_db; jj=jloc_db |
---|
724 | WRITE(narea+100,'(2(a,l7),a, i7,/,3(a,g11.3),/)') & |
---|
725 | & 'After zdf_osm_osbl_state: lconv=', l_conv(ji,jj), ' lshear=', l_shear(ji,jj), ' j_ddh=', n_ddh(ji,jj),& |
---|
726 | & 'zwb_ent=', zwb_ent(ji,jj), ' zwb_min=', zwb_min(ji,jj), ' zshear=', zshear(ji,jj) |
---|
727 | FLUSH(narea+100) |
---|
728 | END IF |
---|
729 | #endif |
---|
730 | IF ( ln_osm_mle ) THEN |
---|
731 | ! Fox-Kemper Scheme |
---|
732 | mld_prof = 4 |
---|
733 | DO_3D( 0, 0, 0, 0, 5, jpkm1 ) |
---|
734 | IF ( hmle(ji,jj) >= gdepw(ji,jj,jk,Kmm) ) mld_prof(ji,jj) = MIN(mbkt(ji,jj), jk) |
---|
735 | END_3D |
---|
736 | CALL zdf_osm_vertical_average( Kbb, Kmm, mld_prof, av_t_mle, av_s_mle, & |
---|
737 | & av_b_mle, av_u_mle, av_v_mle ) |
---|
738 | ! |
---|
739 | DO_2D( 0, 0, 0, 0 ) |
---|
740 | zhmle(ji,jj) = gdepw(ji,jj,mld_prof(ji,jj),Kmm) |
---|
741 | END_2D |
---|
742 | #ifdef key_osm_debug |
---|
743 | IF(narea==nn_narea_db) THEN |
---|
744 | ji=iloc_db; jj=jloc_db |
---|
745 | WRITE(narea+100,'(2(a,g11.3), a, i7,/,(3(a,g11.3),/),2(a,g11.3),/)') & |
---|
746 | & 'Before updating hmle: hmle =',hmle(ji,jj) , ' zhmle=', zhmle(ji,jj), ' mld_prof=', mld_prof(ji,jj), & |
---|
747 | & 'averaging over hmle: zt_mle=', av_t_mle(ji,jj), ' zs_mle=', av_s_mle(ji,jj), ' zb_mle=', av_b_mle(ji,jj),& |
---|
748 | & 'zu_mle =', av_u_mle(ji,jj), ' zv_mle=', av_v_mle(ji,jj) |
---|
749 | FLUSH(narea+100) |
---|
750 | END IF |
---|
751 | #endif |
---|
752 | ! |
---|
753 | ! Calculate fairly-well-mixed depth zmld & its index mld_prof + lateral zmld-averaged gradients |
---|
754 | CALL zdf_osm_zmld_horizontal_gradients( Kmm, zmld, zdtdx, zdtdy, zdsdx, & |
---|
755 | & zdsdy, dbdx_mle, dbdy_mle, zdbds_mle ) |
---|
756 | ! Calculate max vertical FK flux zwb_fk & set logical descriptors |
---|
757 | CALL zdf_osm_osbl_state_fk( Kmm, zwb_fk, zhbl, zhmle, zwb_ent, & |
---|
758 | & zdb_bl, zdbds_mle ) |
---|
759 | ! Recalculate hmle, zmle, zvel_mle, zdiff_mle & redefine mld_proc to be index for new hmle |
---|
760 | CALL zdf_osm_mle_parameters( Kmm, mld_prof, zmld, zhmle, zvel_mle, & |
---|
761 | & zdiff_mle, zdbds_mle, zhbl, zwb0tot ) |
---|
762 | #ifdef key_osm_debug |
---|
763 | IF(narea==nn_narea_db) THEN |
---|
764 | ji=iloc_db; jj=jloc_db |
---|
765 | WRITE(narea+100,'(a,g11.3,a,i7,/, 2(4(a,g11.3),/),2(a,g11.3),/,2(3(a,g11.3),/),a,i7,2(a,g11.3),/,3(a,g11.3),/,/)') & |
---|
766 | & 'Before updating hmle: zmld =',zmld(ji,jj),' mld_prof=', mld_prof(ji,jj), & |
---|
767 | & 'zdtdx+=', zdtdx(ji,jj),' zdtdx-=', zdtdx(ji-1,jj),' zdsdx+=', zdsdx(ji,jj),' zdsdx-=',zdsdx(ji-1,jj), & |
---|
768 | & 'zdtdy+=', zdtdy(ji,jj),' zdtdy-=', zdtdy(ji,jj-1),' zdsdy+=', zdsdy(ji,jj),' zdsdy-=',zdsdy(ji,jj-1), & |
---|
769 | & 'dbdx_mle+=', dbdx_mle(ji,jj),' dbdx_mle-=', dbdx_mle(ji-1,jj),& |
---|
770 | & 'dbdy_mle+=', dbdy_mle(ji,jj),' dbdy_mle-=',dbdy_mle(ji,jj-1),' zdbds_mle=',zdbds_mle(ji,jj), & |
---|
771 | & 'After updating hmle: mld_prof=', mld_prof(ji,jj),' hmle=', hmle(ji,jj), ' zhmle=', zhmle(ji,jj),& |
---|
772 | & 'zvel_mle =', zvel_mle(ji,jj), ' zdiff_mle=', zdiff_mle(ji,jj), ' zwb_fk=', zwb_fk(ji,jj) |
---|
773 | FLUSH(narea+100) |
---|
774 | END IF |
---|
775 | #endif |
---|
776 | ELSE ! ln_osm_mle |
---|
777 | ! FK not selected, Boundary Layer only. |
---|
778 | l_pyc(:,:) = .TRUE. |
---|
779 | l_flux(:,:) = .FALSE. |
---|
780 | l_mle(:,:) = .FALSE. |
---|
781 | DO_2D( 0, 0, 0, 0 ) |
---|
782 | IF ( l_conv(ji,jj) .AND. zdb_bl(ji,jj) < rn_osm_bl_thresh ) l_pyc(ji,jj) = .FALSE. |
---|
783 | END_2D |
---|
784 | ENDIF ! ln_osm_mle |
---|
785 | ! |
---|
786 | !! External gradient below BL needed both with and w/o FK |
---|
787 | CALL zdf_osm_external_gradients( Kmm, nbld + 1, zdtdz_bl_ext, zdsdz_bl_ext, zdbdz_bl_ext ) ! ag 19/03 |
---|
788 | ! |
---|
789 | ! Test if pycnocline well resolved |
---|
790 | ! DO_2D( 0, 0, 0, 0 ) Removed with ag 19/03 changes. A change in eddy diffusivity/viscosity |
---|
791 | ! IF (l_conv(ji,jj) ) THEN should account for this. |
---|
792 | ! ztmp = 0.2 * zhbl(ji,jj) / e3w(ji,jj,nbld(ji,jj),Kmm) |
---|
793 | ! IF ( ztmp > 6 ) THEN |
---|
794 | ! ! pycnocline well resolved |
---|
795 | ! jp_ext(ji,jj) = 1 |
---|
796 | ! ELSE |
---|
797 | ! ! pycnocline poorly resolved |
---|
798 | ! jp_ext(ji,jj) = 0 |
---|
799 | ! ENDIF |
---|
800 | ! ELSE |
---|
801 | ! ! Stable conditions |
---|
802 | ! jp_ext(ji,jj) = 0 |
---|
803 | ! ENDIF |
---|
804 | ! END_2D |
---|
805 | #ifdef key_osm_debug |
---|
806 | IF(narea==nn_narea_db) THEN |
---|
807 | ji=iloc_db; jj=jloc_db |
---|
808 | WRITE(narea+100,'(4(a,l7),a,i7,/, 3(a,g11.3),/)') & |
---|
809 | & 'BL logical descriptors: lconv =',l_conv(ji,jj),' lpyc=', l_pyc(ji,jj),' lflux=', l_flux(ji,jj),' lmle=', l_mle(ji,jj),& |
---|
810 | & ' jp_ext=', jp_ext(ji,jj), & |
---|
811 | & 'sub-BL strat: zdtdz_bl_ext=', zdtdz_bl_ext(ji,jj),' zdsdz_bl_ext=', zdsdz_bl_ext(ji,jj),' zdbdz_bl_ext=', zdbdz_bl_ext(ji,jj) |
---|
812 | FLUSH(narea+100) |
---|
813 | END IF |
---|
814 | #endif |
---|
815 | ! |
---|
816 | ! Recalculate bl averages using jp_ext & ml averages .... note no rotation of u & v here.. |
---|
817 | jp_ext(:,:) = 1 ! ag 19/03 |
---|
818 | CALL zdf_osm_vertical_average( Kbb, Kmm, nbld, av_t_bl, av_s_bl, & |
---|
819 | & av_b_bl, av_u_bl, av_v_bl, jp_ext, zdt_bl, & |
---|
820 | & zds_bl, zdb_bl, zdu_bl, zdv_bl ) |
---|
821 | jp_ext(:,:) = nbld(:,:) - nmld(:,:) + jp_ext(:,:) + 1 ! ag 19/03 |
---|
822 | CALL zdf_osm_vertical_average( Kbb, Kmm, nmld - 1, av_t_ml, av_s_ml, & |
---|
823 | & av_b_ml, av_u_ml, av_v_ml, jp_ext, zdt_ml, & |
---|
824 | & zds_ml, zdb_ml, zdu_ml, zdv_ml ) ! ag 19/03 |
---|
825 | #ifdef key_osm_debug |
---|
826 | IF(narea==nn_narea_db) THEN |
---|
827 | ji=iloc_db; jj=jloc_db |
---|
828 | WRITE(narea+100,'(4(3(a,g11.3),/), 2(4(a,g11.3),/))') & |
---|
829 | & 'After averaging, with old hbl (&correct jp_ext), hml: zt_bl=', av_t_bl(ji,jj),& |
---|
830 | & ' zs_bl=', av_s_bl(ji,jj), ' zb_bl=', av_b_bl(ji,jj),& |
---|
831 | & 'zdt_bl=', zdt_bl(ji,jj), ' zds_bl=', zds_bl(ji,jj), ' zdb_bl=', zdb_bl(ji,jj),& |
---|
832 | & 'zt_ml=', av_t_ml(ji,jj), ' zs_ml=', av_s_ml(ji,jj), ' zb_ml=', av_b_ml(ji,jj),& |
---|
833 | & 'zdt_ml=', zdt_ml(ji,jj), ' zds_ml=', zds_ml(ji,jj), ' zdb_ml=', zdb_ml(ji,jj),& |
---|
834 | & 'zu_bl =', av_u_bl(ji,jj) , ' zv_bl=', av_v_bl(ji,jj), ' zdu_bl=', zdu_bl(ji,jj), ' zdv_bl=', zdv_bl(ji,jj),& |
---|
835 | & 'zu_ml =', av_u_ml(ji,jj) , ' zv_ml=', av_v_ml(ji,jj), ' zdu_ml=', zdu_ml(ji,jj), ' zdv_ml=', zdv_ml(ji,jj) |
---|
836 | FLUSH(narea+100) |
---|
837 | END IF |
---|
838 | #endif |
---|
839 | ! |
---|
840 | ! Rate of change of hbl |
---|
841 | CALL zdf_osm_calculate_dhdt( zdhdt, zhbl, zdh, zwb_ent, zwb_min, & |
---|
842 | & zdb_bl, zdbdz_bl_ext, zdb_ml, zwb_fk_b, zwb_fk, & |
---|
843 | & zvel_mle ) |
---|
844 | ! Test if surface boundary layer coupled to bottom |
---|
845 | l_coup(:,:) = .FALSE. ! ag 19/03 |
---|
846 | DO_2D( 0, 0, 0, 0 ) |
---|
847 | zhbl_t(ji,jj) = hbl(ji,jj) + ( zdhdt(ji,jj) - ww(ji,jj,nbld(ji,jj)) ) * rn_Dt ! Certainly need ww here, so subtract it |
---|
848 | ! Adjustment to represent limiting by ocean bottom |
---|
849 | IF ( mbkt(ji,jj) > 2 ) THEN ! To ensure mbkt(ji,jj) - 2 > 0 so no incorrect array access |
---|
850 | IF ( zhbl_t(ji,jj) > gdepw(ji, jj,mbkt(ji,jj)-2,Kmm) ) THEN |
---|
851 | zhbl_t(ji,jj) = MIN( zhbl_t(ji,jj), gdepw(ji,jj,mbkt(ji,jj)-2,Kmm) ) ! ht(:,:)) |
---|
852 | l_pyc(ji,jj) = .FALSE. |
---|
853 | l_coup(ji,jj) = .TRUE. ! ag 19/03 |
---|
854 | END IF |
---|
855 | END IF |
---|
856 | #ifdef key_osm_debug |
---|
857 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
858 | WRITE(narea+100,'(2(a,g11.3),/,2(a,g11.3)),2(a,l7)')'after zdf_osm_calculate_dhdt: zhbl_t=',zhbl_t(ji,jj), 'hbl=', hbl(ji,jj),& |
---|
859 | & 'delta hbl from dzdhdt', zdhdt(ji,jj)*rn_Dt,' delta hbl from w ', ww(ji,jj,nbld(ji,jj))*rn_Dt, & |
---|
860 | & ' lcoup= ', l_coup(ji,jj), ' lpyc= ', l_pyc(ji,jj) |
---|
861 | FLUSH(narea+100) |
---|
862 | END IF |
---|
863 | #endif |
---|
864 | END_2D |
---|
865 | ! |
---|
866 | nmld(:,:) = nbld(:,:) ! use nmld to hold previous blayer index |
---|
867 | nbld(:,:) = 4 |
---|
868 | ! |
---|
869 | DO_3D( 0, 0, 0, 0, 4, jpkm1 ) |
---|
870 | IF ( zhbl_t(ji,jj) >= gdepw(ji,jj,jk,Kmm) ) THEN |
---|
871 | nbld(ji,jj) = jk |
---|
872 | END IF |
---|
873 | END_3D |
---|
874 | ! |
---|
875 | ! |
---|
876 | ! Step through model levels taking account of buoyancy change to determine the effect on dhdt |
---|
877 | ! |
---|
878 | CALL zdf_osm_timestep_hbl( Kmm, zdhdt, zhbl, zhbl_t, zwb_ent, & |
---|
879 | & zwb_fk_b ) |
---|
880 | ! Is external level in bounds? |
---|
881 | ! |
---|
882 | ! Recalculate BL averages and differences using new BL depth |
---|
883 | jp_ext(:,:) = 1 ! ag 19/03 |
---|
884 | CALL zdf_osm_vertical_average( Kbb, Kmm, nbld, av_t_bl, av_s_bl, & |
---|
885 | & av_b_bl, av_u_bl, av_v_bl, jp_ext, zdt_bl, & |
---|
886 | & zds_bl, zdb_bl, zdu_bl, zdv_bl ) |
---|
887 | ! |
---|
888 | CALL zdf_osm_pycnocline_thickness( Kmm, zdh, zhml, zdhdt, zdb_bl, & |
---|
889 | & zhbl, zwb_ent, zdbdz_bl_ext, zwb_fk_b ) |
---|
890 | ! |
---|
891 | ! Reset l_pyc before calculating terms in the flux-gradient relationship |
---|
892 | DO_2D( 0, 0, 0, 0 ) |
---|
893 | IF ( zdb_bl(ji,jj) < rn_osm_bl_thresh .OR. nbld(ji,jj) >= mbkt(ji,jj) - 2 .OR. & |
---|
894 | & nbld(ji,jj) - nmld(ji,jj) == 1 .OR. zdhdt(ji,jj) < 0.0_wp ) THEN ! ag 19/03 |
---|
895 | l_pyc(ji,jj) = .FALSE. ! ag 19/03 |
---|
896 | IF ( nbld(ji,jj) >= mbkt(ji,jj) -2 ) THEN |
---|
897 | nmld(ji,jj) = nbld(ji,jj) - 1 ! ag 19/03 |
---|
898 | zdh(ji,jj) = gdepw(ji,jj,nbld(ji,jj),Kmm) - gdepw(ji,jj,nmld(ji,jj),Kmm) ! ag 19/03 |
---|
899 | zhml(ji,jj) = gdepw(ji,jj,nmld(ji,jj),Kmm) ! ag 19/03 |
---|
900 | dh(ji,jj) = zdh(ji,jj) ! ag 19/03 |
---|
901 | hml(ji,jj) = hbl(ji,jj) - dh(ji,jj) ! ag 19/03 |
---|
902 | #ifdef key_osm_debug |
---|
903 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
904 | WRITE(narea+100,'(a)')'After setting pycnocline thickness BL running aground: lpyc= F5: ibld(ji,jj) >= mbkt(ji,jj) -2' |
---|
905 | WRITE(narea+100,'(2(a,i7),2(a,g11.3))')' ibld=',nbld(ji,jj),' imld=',nmld(ji,jj), ' zdh=',zdh(ji,jj), ' zhml=',zhml(ji,jj) |
---|
906 | WRITE(narea+100,'(2(a,g11.3))')'dh=',dh(ji,jj),' hml=',hml(ji,jj) |
---|
907 | FLUSH(narea+100) |
---|
908 | END IF |
---|
909 | #endif |
---|
910 | ENDIF |
---|
911 | ENDIF ! ag 19/03 |
---|
912 | END_2D |
---|
913 | ! |
---|
914 | dstokes(:,:) = MIN ( dstokes(:,:), hbl(:,:)/ 3.0_wp ) ! Limit delta for shallow boundary layers for calculating |
---|
915 | ! ! flux-gradient terms |
---|
916 | ! |
---|
917 | ! Average over the depth of the mixed layer in the convective boundary layer |
---|
918 | ! jp_ext = nbld - nmld + 1 |
---|
919 | ! Recalculate ML averages and differences using new ML depth |
---|
920 | jp_ext(:,:) = nbld(:,:) - nmld(:,:) + jp_ext(:,:) + 1 ! ag 19/03 |
---|
921 | CALL zdf_osm_vertical_average( Kbb, Kmm, nmld - 1, av_t_ml, av_s_ml, & |
---|
922 | & av_b_ml, av_u_ml, av_v_ml, jp_ext, zdt_ml, & |
---|
923 | & zds_ml, zdb_ml, zdu_ml, zdv_ml ) |
---|
924 | ! |
---|
925 | CALL zdf_osm_external_gradients( Kmm, nbld + 1, zdtdz_bl_ext, zdsdz_bl_ext, zdbdz_bl_ext ) |
---|
926 | #ifdef key_osm_debug |
---|
927 | IF(narea==nn_narea_db) THEN |
---|
928 | ji=iloc_db; jj=jloc_db |
---|
929 | WRITE(narea+100,'(4(3(a,g11.3),/), 2(4(a,g11.3),/))') & |
---|
930 | & 'After averaging, with new hbl (&correct jp_ext), hml: zt_bl=', av_t_bl(ji,jj),& |
---|
931 | & ' zs_bl=', av_s_bl(ji,jj), ' zb_bl=', av_b_bl(ji,jj),& |
---|
932 | & 'zdt_bl=', zdt_bl(ji,jj), ' zds_bl=', zds_bl(ji,jj), ' zdb_bl=', zdb_bl(ji,jj),& |
---|
933 | & 'zt_ml=', av_t_ml(ji,jj), ' zs_ml=', av_s_ml(ji,jj), ' zb_ml=', av_b_ml(ji,jj),& |
---|
934 | & 'zdt_ml=', zdt_ml(ji,jj), ' zds_ml=', zds_ml(ji,jj), ' zdb_ml=', zdb_ml(ji,jj),& |
---|
935 | & 'zu_bl =', av_u_bl(ji,jj) , ' zv_bl=', av_v_bl(ji,jj), ' zdu_bl=', zdu_bl(ji,jj), ' zdv_bl=', zdv_bl(ji,jj),& |
---|
936 | & 'zu_ml =', av_u_ml(ji,jj) , ' zv_ml=', av_v_ml(ji,jj), ' zdu_ml=', zdu_ml(ji,jj), ' zdv_ml=', zdv_ml(ji,jj) |
---|
937 | FLUSH(narea+100) |
---|
938 | END IF |
---|
939 | #endif |
---|
940 | ! Rotate mean currents and changes onto wind aligned co-ordinates |
---|
941 | CALL zdf_osm_velocity_rotation( av_u_ml, av_v_ml ) |
---|
942 | CALL zdf_osm_velocity_rotation( zdu_ml, zdv_ml ) |
---|
943 | CALL zdf_osm_velocity_rotation( av_u_bl, av_v_bl ) |
---|
944 | CALL zdf_osm_velocity_rotation( zdu_bl, zdv_bl ) |
---|
945 | #ifdef key_osm_debug |
---|
946 | IF(narea==nn_narea_db) THEN |
---|
947 | ji=iloc_db; jj=jloc_db |
---|
948 | WRITE(narea+100,'(a,/, 2(4(a,g11.3),/))') & |
---|
949 | & 'After rotation, with new hbl (& correct jp_ext), hml:', & |
---|
950 | & 'zu_bl =', av_u_bl(ji,jj) , ' zv_bl=', av_v_bl(ji,jj), ' zdu_bl=', zdu_bl(ji,jj), ' zdv_bl=', zdv_bl(ji,jj),& |
---|
951 | & 'zu_ml =', av_u_ml(ji,jj) , ' zv_ml=', av_v_ml(ji,jj), ' zdu_ml=', zdu_ml(ji,jj), ' zdv_ml=', zdv_ml(ji,jj) |
---|
952 | FLUSH(narea+100) |
---|
953 | END IF |
---|
954 | #endif |
---|
955 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
956 | ! Pycnocline gradients for scalars and velocity |
---|
957 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
958 | jp_ext(:,:) = 1 ! ag 19/03 |
---|
959 | CALL zdf_osm_pycnocline_buoyancy_profiles( Kmm, jp_ext, zdbdz_pyc, zalpha_pyc, zdh, & |
---|
960 | & zdb_bl, zhbl, zdbdz_bl_ext, zhml, zdb_ml, & |
---|
961 | & zdhdt ) |
---|
962 | #ifdef key_osm_debug |
---|
963 | IF(narea==nn_narea_db) THEN |
---|
964 | ji=iloc_db; jj=jloc_db |
---|
965 | jl = nmld(ji,jj) - 1; jm = MIN( nbld(ji,jj) + 2, mbkt(ji,jj) ) |
---|
966 | WRITE(narea+100,'(a,l7,/,3(a,g11.3),/)') & |
---|
967 | & 'After pycnocline profiles BL lpyc=', l_pyc(ji,jj),& |
---|
968 | & 'sub-BL strat: zdtdz_bl_ext=', zdtdz_bl_ext(ji,jj),' zdsdz_bl_ext=', zdsdz_bl_ext(ji,jj),' zdbdz_bl_ext=', zdbdz_bl_ext(ji,jj), & |
---|
969 | & 'Pycnocline: zalpha_pyc=', zalpha_pyc(ji,jj) |
---|
970 | ! WRITE(narea+100,'(a,*(g11.3))') ' zdtdz_pyc[imld-1..ibld+2] =', ( zdtdz_pyc(ji,jj,jk), jk=jl,jm ) |
---|
971 | ! WRITE(narea+100,'(a,*(g11.3))') ' zdsdz_pyc[imld-1..ibld+2] =', ( zdsdz_pyc(ji,jj,jk), jk=jl,jm ) |
---|
972 | WRITE(narea+100,'(a,*(g11.3))') ' zdbdz_pyc[imld-1..ibld+2] =', ( zdbdz_pyc(ji,jj,jk), jk=jl,jm ) |
---|
973 | ! WRITE(narea+100,'(a,*(g11.3))') ' zdudz_pyc[imld-1..ibld+2] =', ( zdudz_pyc(ji,jj,jk), jk=jl,jm ) |
---|
974 | ! WRITE(narea+100,'(a,*(g11.3))') ' zdvdz_pyc[imld-1..ibld+2] =', ( zdvdz_pyc(ji,jj,jk), jk=jl,jm ) |
---|
975 | WRITE(narea+100,*) |
---|
976 | FLUSH(narea+100) |
---|
977 | END IF |
---|
978 | #endif |
---|
979 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
980 | ! Eddy viscosity/diffusivity and non-gradient terms in the flux-gradient relationship |
---|
981 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
982 | CALL zdf_osm_diffusivity_viscosity( Kbb, Kmm, zdiffut, zviscos, zhbl, & |
---|
983 | & zhml, zdh, zdhdt, zshear, zwb_ent, & |
---|
984 | & zwb_min ) |
---|
985 | #ifdef key_osm_debug |
---|
986 | IF(narea==nn_narea_db) THEN |
---|
987 | ji=iloc_db; jj=jloc_db |
---|
988 | jl = nmld(ji,jj) - 1; jm = MIN( nbld(ji,jj) + 2, mbkt(ji,jj) ) |
---|
989 | WRITE(narea+100,'(a,*(g11.3))') ' zdiffut[imld-1..ibld+2] =', ( zdiffut(ji,jj,jk), jk=jl,jm ) |
---|
990 | WRITE(narea+100,'(a,*(g11.3))') ' zviscos[imld-1..ibld+2] =', ( zviscos(ji,jj,jk), jk=jl,jm ) |
---|
991 | WRITE(narea+100,*) |
---|
992 | FLUSH(narea+100) |
---|
993 | END IF |
---|
994 | #endif |
---|
995 | ! |
---|
996 | ! Calculate non-gradient components of the flux-gradient relationships |
---|
997 | ! -------------------------------------------------------------------- |
---|
998 | CALL zdf_osm_fgr_terms( Kmm, jp_ext, zhbl, zhml, zdh, & |
---|
999 | & zdhdt, zshear, zdt_bl, zds_bl, zdb_bl, & |
---|
1000 | & zdu_bl, zdv_bl, zdt_ml, zds_ml, zdb_ml, & |
---|
1001 | & zdu_ml, zdv_ml, zdtdz_bl_ext, zdsdz_bl_ext, zdbdz_pyc, & |
---|
1002 | & zalpha_pyc, zdiffut, zviscos ) |
---|
1003 | ! |
---|
1004 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
1005 | ! Need to put in code for contributions that are applied explicitly to |
---|
1006 | ! the prognostic variables |
---|
1007 | ! 1. Entrainment flux |
---|
1008 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
1009 | ! |
---|
1010 | ! Rotate non-gradient velocity terms back to model reference frame |
---|
1011 | CALL zdf_osm_velocity_rotation( ghamu, ghamv, .FALSE., 2, nbld ) |
---|
1012 | ! |
---|
1013 | ! KPP-style Ri# mixing |
---|
1014 | IF ( ln_kpprimix ) THEN |
---|
1015 | jkflt = jpk |
---|
1016 | DO_2D( 0, 0, 0, 0 ) |
---|
1017 | IF ( nbld(ji,jj) < jkflt ) jkflt = nbld(ji,jj) |
---|
1018 | END_2D |
---|
1019 | DO jk = jkflt+1, jpkm1 |
---|
1020 | ! Shear production at uw- and vw-points (energy conserving form) |
---|
1021 | DO_2D( 1, 0, 1, 0 ) |
---|
1022 | z2du(ji,jj) = 0.5_wp * ( uu(ji,jj,jk-1,Kmm) - uu(ji,jj,jk,Kmm) ) * ( uu(ji,jj,jk-1,Kbb) - uu(ji,jj,jk,Kbb) ) * & |
---|
1023 | & wumask(ji,jj,jk) / ( e3uw(ji,jj,jk,Kmm) * e3uw(ji,jj,jk,Kbb) ) |
---|
1024 | z2dv(ji,jj) = 0.5_wp * ( vv(ji,jj,jk-1,Kmm) - vv(ji,jj,jk,Kmm) ) * ( vv(ji,jj,jk-1,Kbb) - vv(ji,jj,jk,Kbb) ) * & |
---|
1025 | & wvmask(ji,jj,jk) / ( e3vw(ji,jj,jk,Kmm) * e3vw(ji,jj,jk,Kbb) ) |
---|
1026 | END_2D |
---|
1027 | DO_2D( 0, 0, 0, 0 ) |
---|
1028 | IF ( jk > nbld(ji,jj) ) THEN |
---|
1029 | ! Shear prod. at w-point weightened by mask |
---|
1030 | zesh2 = ( z2du(ji-1,jj) + z2du(ji,jj) ) / MAX( 1.0_wp , umask(ji-1,jj,jk) + umask(ji,jj,jk) ) + & |
---|
1031 | & ( z2dv(ji,jj-1) + z2dv(ji,jj) ) / MAX( 1.0_wp , vmask(ji,jj-1,jk) + vmask(ji,jj,jk) ) |
---|
1032 | ! Local Richardson number |
---|
1033 | zri = MAX( rn2b(ji,jj,jk), 0.0_wp ) / MAX( zesh2, epsln ) |
---|
1034 | zfri = MIN( zri / rn_riinfty, 1.0_wp ) |
---|
1035 | zfri = ( 1.0_wp - zfri * zfri ) |
---|
1036 | zrimix = zfri * zfri * zfri * wmask(ji, jj, jk) |
---|
1037 | zdiffut(ji,jj,jk) = MAX( zdiffut(ji,jj,jk), zrimix*rn_difri ) |
---|
1038 | zviscos(ji,jj,jk) = MAX( zviscos(ji,jj,jk), zrimix*rn_difri ) |
---|
1039 | END IF |
---|
1040 | END_2D |
---|
1041 | END DO |
---|
1042 | END IF ! ln_kpprimix = .true. |
---|
1043 | ! |
---|
1044 | ! KPP-style set diffusivity large if unstable below BL |
---|
1045 | IF ( ln_convmix) THEN |
---|
1046 | DO_2D( 0, 0, 0, 0 ) |
---|
1047 | DO jk = nbld(ji,jj) + 1, jpkm1 |
---|
1048 | IF ( MIN( rn2(ji,jj,jk), rn2b(ji,jj,jk) ) <= -1e-12_wp ) zdiffut(ji,jj,jk) = MAX( rn_difconv, zdiffut(ji,jj,jk) ) |
---|
1049 | END DO |
---|
1050 | END_2D |
---|
1051 | END IF ! ln_convmix = .true. |
---|
1052 | #ifdef key_osm_debug |
---|
1053 | IF(narea==nn_narea_db) THEN |
---|
1054 | ji=iloc_db; jj=jloc_db |
---|
1055 | jl = nmld(ji,jj) - 1; jm = MIN( nbld(ji,jj) + 2, mbkt(ji,jj) ) |
---|
1056 | WRITE(narea+100,'(a)') ' After including KPP Ri# diffusivity & viscosity' |
---|
1057 | WRITE(narea+100,'(a,*(g11.3))') ' zdiffut[imld-1..ibld+2] =', ( zdiffut(ji,jj,jk), jk=jl,jm ) |
---|
1058 | WRITE(narea+100,'(a,*(g11.3))') ' zviscos[imld-1..ibld+2] =', ( zviscos(ji,jj,jk), jk=jl,jm ) |
---|
1059 | WRITE(narea+100,*) |
---|
1060 | FLUSH(narea+100) |
---|
1061 | END IF |
---|
1062 | #endif |
---|
1063 | ! |
---|
1064 | IF ( ln_osm_mle ) THEN ! Set up diffusivity and non-gradient mixing |
---|
1065 | DO_2D( 0, 0, 0, 0 ) |
---|
1066 | IF ( l_flux(ji,jj) ) THEN ! MLE mixing extends below boundary layer |
---|
1067 | ! Calculate MLE flux contribution from surface fluxes |
---|
1068 | DO jk = 1, nbld(ji,jj) |
---|
1069 | znd = gdepw(ji,jj,jk,Kmm) / MAX( zhbl(ji,jj), epsln ) |
---|
1070 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) - ( swth0(ji,jj) - zrad0(ji,jj) + zradh(ji,jj) ) * ( 1.0_wp - znd ) |
---|
1071 | ghams(ji,jj,jk) = ghams(ji,jj,jk) - sws0(ji,jj) * ( 1.0_wp - znd ) |
---|
1072 | END DO |
---|
1073 | DO jk = 1, mld_prof(ji,jj) |
---|
1074 | znd = gdepw(ji,jj,jk,Kmm) / MAX( zhmle(ji,jj), epsln ) |
---|
1075 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + ( swth0(ji,jj) - zrad0(ji,jj) + zradh(ji,jj) ) * ( 1.0_wp - znd ) |
---|
1076 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + sws0(ji,jj) * ( 1.0_wp -znd ) |
---|
1077 | END DO |
---|
1078 | ! Viscosity for MLEs |
---|
1079 | DO jk = 1, mld_prof(ji,jj) |
---|
1080 | znd = -1.0_wp * gdepw(ji,jj,jk,Kmm) / MAX( zhmle(ji,jj), epsln ) |
---|
1081 | zdiffut(ji,jj,jk) = zdiffut(ji,jj,jk) + zdiff_mle(ji,jj) * ( 1.0_wp - ( 2.0_wp * znd + 1.0_wp )**2 ) * & |
---|
1082 | & ( 1.0_wp + 5.0_wp / 21.0_wp * ( 2.0_wp * znd + 1.0_wp )**2 ) |
---|
1083 | END DO |
---|
1084 | ELSE ! Surface transports limited to OSBL |
---|
1085 | ! Viscosity for MLEs |
---|
1086 | DO jk = 1, mld_prof(ji,jj) |
---|
1087 | znd = -1.0_wp * gdepw(ji,jj,jk,Kmm) / MAX( zhmle(ji,jj), epsln ) |
---|
1088 | zdiffut(ji,jj,jk) = zdiffut(ji,jj,jk) + zdiff_mle(ji,jj) * ( 1.0_wp - ( 2.0_wp * znd + 1.0_wp )**2 ) * & |
---|
1089 | & ( 1.0_wp + 5.0_wp / 21.0_wp * ( 2.0_wp * znd + 1.0_wp )**2 ) |
---|
1090 | END DO |
---|
1091 | END IF |
---|
1092 | END_2D |
---|
1093 | #ifdef key_osm_debug |
---|
1094 | IF(narea==nn_narea_db) THEN |
---|
1095 | ji=iloc_db; jj=jloc_db |
---|
1096 | jl = nmld(ji,jj) - 1; jm = MIN( nbld(ji,jj) + 2, mbkt(ji,jj) ) |
---|
1097 | WRITE(narea+100,'(a)') ' After including FK diffusivity & non-local terms' |
---|
1098 | WRITE(narea+100,'(a,*(g11.3))') ' zdiffut[imld-1..ibld+2] =', ( zdiffut(ji,jj,jk), jk=jl,jm ) |
---|
1099 | WRITE(narea+100,'(a,*(g11.3))') ' ghamt[imld-1..ibld+2] =', ( ghamt(ji,jj,jk), jk=jl,jm ) |
---|
1100 | WRITE(narea+100,'(a,*(g11.3))') ' ghams[imld-1..ibld+2] =', ( ghams(ji,jj,jk), jk=jl,jm ) |
---|
1101 | WRITE(narea+100,*) |
---|
1102 | FLUSH(narea+100) |
---|
1103 | END IF |
---|
1104 | #endif |
---|
1105 | ENDIF |
---|
1106 | ! |
---|
1107 | ! Lateral boundary conditions on zvicos (sign unchanged), needed to caclulate viscosities on u and v grids |
---|
1108 | ! CALL lbc_lnk( 'zdfosm', zviscos(:,:,:), 'W', 1.0_wp ) |
---|
1109 | ! GN 25/8: need to change tmask --> wmask |
---|
1110 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
---|
1111 | p_avt(ji,jj,jk) = MAX( zdiffut(ji,jj,jk), avtb(jk) ) * tmask(ji,jj,jk) |
---|
1112 | p_avm(ji,jj,jk) = MAX( zviscos(ji,jj,jk), avmb(jk) ) * tmask(ji,jj,jk) |
---|
1113 | END_3D |
---|
1114 | ! Lateral boundary conditions on ghamu and ghamv, currently on W-grid (sign unchanged), needed to caclulate gham[uv] on u and |
---|
1115 | ! v grids |
---|
1116 | CALL lbc_lnk_multi( 'zdfosm', p_avt, 'W', 1.0_wp, & |
---|
1117 | & p_avm, 'W', 1.0_wp, & |
---|
1118 | & ghamu, 'W', 1.0_wp, & |
---|
1119 | & ghamv, 'W', 1.0_wp ) |
---|
1120 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
---|
1121 | ghamu(ji,jj,jk) = ( ghamu(ji,jj,jk) + ghamu(ji+1,jj,jk) ) / MAX( 1.0_wp, tmask(ji,jj,jk) + tmask (ji+1,jj,jk) ) * & |
---|
1122 | & umask(ji,jj,jk) |
---|
1123 | ghamv(ji,jj,jk) = ( ghamv(ji,jj,jk) + ghamv(ji,jj+1,jk) ) / MAX( 1.0_wp, tmask(ji,jj,jk) + tmask (ji,jj+1,jk) ) * & |
---|
1124 | & vmask(ji,jj,jk) |
---|
1125 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) * tmask(ji,jj,jk) |
---|
1126 | ghams(ji,jj,jk) = ghams(ji,jj,jk) * tmask(ji,jj,jk) |
---|
1127 | END_3D |
---|
1128 | ! Lateral boundary conditions on final outputs for hbl, on T-grid (sign unchanged) |
---|
1129 | CALL lbc_lnk_multi( 'zdfosm', hbl, 'T', 1.0_wp, & |
---|
1130 | & dh, 'T', 1.0_wp, & |
---|
1131 | & hmle, 'T', 1.0_wp ) |
---|
1132 | ! Lateral boundary conditions on final outputs for gham[ts], on W-grid (sign unchanged) |
---|
1133 | ! Lateral boundary conditions on final outputs for gham[uv], on [UV]-grid (sign changed) |
---|
1134 | CALL lbc_lnk_multi( 'zdfosm', ghamt, 'W', 1.0_wp, & |
---|
1135 | & ghams, 'W', 1.0_wp, & |
---|
1136 | & ghamu, 'U', -1.0_wp, & |
---|
1137 | & ghamv, 'V', -1.0_wp ) |
---|
1138 | #ifdef key_osm_debug |
---|
1139 | IF(narea==nn_narea_db) THEN |
---|
1140 | ji=iloc_db; jj=jloc_db |
---|
1141 | jl = nmld(ji,jj) - 1; jm = MIN( nbld(ji,jj) + 2, mbkt(ji,jj) ) |
---|
1142 | WRITE(narea+100,'(a)') ' Final diffusivity & viscosity, & non-local terms' |
---|
1143 | WRITE(narea+100,'(a,*(g11.3))') ' p_avt[imld-1..ibld+2] =', ( p_avt(ji,jj,jk), jk=jl,jm ) |
---|
1144 | WRITE(narea+100,'(a,*(g11.3))') ' p_avm[imld-1..ibld+2] =', ( p_avm(ji,jj,jk), jk=jl,jm ) |
---|
1145 | WRITE(narea+100,'(a,*(g11.3))') ' ghamt[imld-1..ibld+2] =', ( ghamt(ji,jj,jk), jk=jl,jm ) |
---|
1146 | WRITE(narea+100,'(a,*(g11.3))') ' ghams[imld-1..ibld+2] =', ( ghams(ji,jj,jk), jk=jl,jm ) |
---|
1147 | WRITE(narea+100,'(a,*(g11.3))') ' ghamu[imld-1..ibld+2] =', ( ghamu(ji,jj,jk), jk=jl,jm ) |
---|
1148 | WRITE(narea+100,'(a,*(g11.3))') ' ghamv[imld-1..ibld+2] =', ( ghamv(ji,jj,jk), jk=jl,jm ) |
---|
1149 | WRITE(narea+100,*) |
---|
1150 | FLUSH(narea+100) |
---|
1151 | END IF |
---|
1152 | #endif |
---|
1153 | ! |
---|
1154 | IF(ln_dia_osm) THEN |
---|
1155 | SELECT CASE (nn_osm_wave) |
---|
1156 | ! Stokes drift set by assumimg onstant La#=0.3 (=0) or Pierson-Moskovitz spectrum (=1) |
---|
1157 | CASE(0:1) |
---|
1158 | IF ( iom_use("us_x") ) CALL iom_put( "us_x", tmask(:,:,1)*sustke*scos_wind ) ! x surface Stokes drift |
---|
1159 | IF ( iom_use("us_y") ) CALL iom_put( "us_y", tmask(:,:,1)*sustke*ssin_wind ) ! y surface Stokes drift |
---|
1160 | IF ( iom_use("wind_wave_abs_power") ) CALL iom_put( "wind_wave_abs_power", 1000.0_wp * rho0 * tmask(:,:,1) * & |
---|
1161 | & sustar**2 * sustke ) |
---|
1162 | ! Stokes drift read in from sbcwave (=2). |
---|
1163 | CASE(2:3) |
---|
1164 | IF ( iom_use("us_x") ) CALL iom_put( "us_x", ut0sd*umask(:,:,1) ) ! x surface Stokes drift |
---|
1165 | IF ( iom_use("us_y") ) CALL iom_put( "us_y", vt0sd*vmask(:,:,1) ) ! y surface Stokes drift |
---|
1166 | IF ( iom_use("wmp") ) CALL iom_put( "wmp", wmp*tmask(:,:,1) ) ! Wave mean period |
---|
1167 | IF ( iom_use("hsw") ) CALL iom_put( "hsw", hsw*tmask(:,:,1) ) ! Significant wave height |
---|
1168 | IF ( iom_use("wmp_NP") ) CALL iom_put( "wmp_NP", ( 2.0_wp * rpi * 1.026_wp / & ! Wave mean period from NP |
---|
1169 | & ( 0.877_wp * grav ) ) * & ! spectrum |
---|
1170 | & wndm * tmask(:,:,1) ) |
---|
1171 | IF ( iom_use("hsw_NP") ) CALL iom_put( "hsw_NP", ( 0.22_wp / grav ) * wndm**2 * & ! Significant wave |
---|
1172 | & tmask(:,:,1) ) ! height from NP spectrum |
---|
1173 | IF ( iom_use("wndm") ) CALL iom_put( "wndm", wndm*tmask(:,:,1) ) ! U_10 |
---|
1174 | IF ( iom_use("wind_wave_abs_power") ) CALL iom_put( "wind_wave_abs_power", & |
---|
1175 | & 1000.0_wp * rho0 * tmask(:,:,1) * sustar**2 * & |
---|
1176 | & SQRT( ut0sd**2 + vt0sd**2 ) ) |
---|
1177 | END SELECT |
---|
1178 | IF ( iom_use("ghamt") ) CALL iom_put( "ghamt", tmask*ghamt ) ! <Tw_NL> |
---|
1179 | IF ( iom_use("ghams") ) CALL iom_put( "ghams", tmask*ghams ) ! <Sw_NL> |
---|
1180 | IF ( iom_use("ghamu") ) CALL iom_put( "ghamu", umask*ghamu ) ! <uw_NL> |
---|
1181 | IF ( iom_use("ghamv") ) CALL iom_put( "ghamv", vmask*ghamv ) ! <vw_NL> |
---|
1182 | IF ( iom_use("zwth0") ) CALL iom_put( "zwth0", tmask(:,:,1)*swth0 ) ! <Tw_0> |
---|
1183 | IF ( iom_use("zws0") ) CALL iom_put( "zws0", tmask(:,:,1)*sws0 ) ! <Sw_0> |
---|
1184 | IF ( iom_use("zwb0") ) CALL iom_put( "zwb0", tmask(:,:,1)*swb0 ) ! <Sw_0> |
---|
1185 | IF ( iom_use("zwbav") ) CALL iom_put( "zwbav", tmask(:,:,1)*swth0 ) ! Upward BL-avged turb buoyancy flux |
---|
1186 | IF ( iom_use("hbl") ) CALL iom_put( "hbl", tmask(:,:,1)*hbl ) ! Boundary-layer depth |
---|
1187 | IF ( iom_use("ibld") ) CALL iom_put( "ibld", tmask(:,:,1)*nbld ) ! Boundary-layer max k |
---|
1188 | IF ( iom_use("zdt_bl") ) CALL iom_put( "zdt_bl", tmask(:,:,1)*zdt_bl ) ! dt at ml base |
---|
1189 | IF ( iom_use("zds_bl") ) CALL iom_put( "zds_bl", tmask(:,:,1)*zds_bl ) ! ds at ml base |
---|
1190 | IF ( iom_use("zdb_bl") ) CALL iom_put( "zdb_bl", tmask(:,:,1)*zdb_bl ) ! db at ml base |
---|
1191 | IF ( iom_use("zdu_bl") ) CALL iom_put( "zdu_bl", tmask(:,:,1)*zdu_bl ) ! du at ml base |
---|
1192 | IF ( iom_use("zdv_bl") ) CALL iom_put( "zdv_bl", tmask(:,:,1)*zdv_bl ) ! dv at ml base |
---|
1193 | IF ( iom_use("dh") ) CALL iom_put( "dh", tmask(:,:,1)*dh ) ! Initial boundary-layer depth |
---|
1194 | IF ( iom_use("hml") ) CALL iom_put( "hml", tmask(:,:,1)*hml ) ! Initial boundary-layer depth |
---|
1195 | IF ( iom_use("zdt_ml") ) CALL iom_put( "zdt_ml", tmask(:,:,1)*zdt_ml ) ! dt at ml base |
---|
1196 | IF ( iom_use("zds_ml") ) CALL iom_put( "zds_ml", tmask(:,:,1)*zds_ml ) ! ds at ml base |
---|
1197 | IF ( iom_use("zdb_ml") ) CALL iom_put( "zdb_ml", tmask(:,:,1)*zdb_ml ) ! db at ml base |
---|
1198 | IF ( iom_use("dstokes") ) CALL iom_put( "dstokes", tmask(:,:,1)*dstokes ) ! Stokes drift penetration depth |
---|
1199 | IF ( iom_use("zustke") ) CALL iom_put( "zustke", tmask(:,:,1)*sustke ) ! Stokes drift magnitude at T-points |
---|
1200 | IF ( iom_use("zwstrc") ) CALL iom_put( "zwstrc", tmask(:,:,1)*swstrc ) ! Convective velocity scale |
---|
1201 | IF ( iom_use("zwstrl") ) CALL iom_put( "zwstrl", tmask(:,:,1)*swstrl ) ! Langmuir velocity scale |
---|
1202 | IF ( iom_use("zustar") ) CALL iom_put( "zustar", tmask(:,:,1)*sustar ) ! Friction velocity scale |
---|
1203 | IF ( iom_use("zvstr") ) CALL iom_put( "zvstr", tmask(:,:,1)*svstr ) ! Mixed velocity scale |
---|
1204 | IF ( iom_use("zla") ) CALL iom_put( "zla", tmask(:,:,1)*sla ) ! Langmuir # |
---|
1205 | IF ( iom_use("wind_power") ) CALL iom_put( "wind_power", 1000.0_wp * rho0 * & ! BL depth internal to zdf_osm routine |
---|
1206 | & tmask(:,:,1) * sustar**3 ) |
---|
1207 | IF ( iom_use("wind_wave_power") ) CALL iom_put( "wind_wave_power", 1000.0_wp * rho0 * tmask(:,:,1) * sustar**2 * sustke ) |
---|
1208 | IF ( iom_use("zhbl") ) CALL iom_put( "zhbl", tmask(:,:,1)*zhbl ) ! BL depth internal to zdf_osm routine |
---|
1209 | IF ( iom_use("zhml") ) CALL iom_put( "zhml", tmask(:,:,1)*zhml ) ! ML depth internal to zdf_osm routine |
---|
1210 | IF ( iom_use("imld") ) CALL iom_put( "imld", tmask(:,:,1)*nmld ) ! Index for ML depth internal to zdf_osm routine |
---|
1211 | IF ( iom_use("jp_ext") ) CALL iom_put( "jp_ext", tmask(:,:,1)*jp_ext ) ! =1 if pycnocline resolved internal to zdf_osm routine |
---|
1212 | IF ( iom_use("j_ddh") ) CALL iom_put( "j_ddh", tmask(:,:,1)*n_ddh ) ! Index forpyc thicknessh internal to zdf_osm routine |
---|
1213 | IF ( iom_use("zshear") ) CALL iom_put( "zshear", tmask(:,:,1)*zshear ) ! Shear production of TKE internal to zdf_osm routine |
---|
1214 | IF ( iom_use("zdh") ) CALL iom_put( "zdh", tmask(:,:,1)*zdh ) ! Pyc thicknessh internal to zdf_osm routine |
---|
1215 | IF ( iom_use("zhol") ) CALL iom_put( "zhol", tmask(:,:,1)*shol ) ! ML depth internal to zdf_osm routine |
---|
1216 | IF ( iom_use("zwb_ent") ) CALL iom_put( "zwb_ent", tmask(:,:,1)*zwb_ent ) ! Upward turb buoyancy entrainment flux |
---|
1217 | IF ( iom_use("zt_ml") ) CALL iom_put( "zt_ml", tmask(:,:,1)*av_t_ml ) ! Average T in ML |
---|
1218 | IF ( iom_use("hmle") ) CALL iom_put( "hmle", tmask(:,:,1)*hmle ) ! FK layer depth |
---|
1219 | IF ( iom_use("zmld") ) CALL iom_put( "zmld", tmask(:,:,1)*zmld ) ! FK target layer depth |
---|
1220 | IF ( iom_use("zwb_fk") ) CALL iom_put( "zwb_fk", tmask(:,:,1)*zwb_fk ) ! FK b flux |
---|
1221 | IF ( iom_use("zwb_fk_b") ) CALL iom_put( "zwb_fk_b", tmask(:,:,1)*zwb_fk_b ) ! FK b flux averaged over ML |
---|
1222 | IF ( iom_use("mld_prof") ) CALL iom_put( "mld_prof", tmask(:,:,1)*mld_prof ) ! FK layer max k |
---|
1223 | IF ( iom_use("zdtdx") ) CALL iom_put( "zdtdx", umask(:,:,1)*zdtdx ) ! FK dtdx at u-pt |
---|
1224 | IF ( iom_use("zdtdy") ) CALL iom_put( "zdtdy", vmask(:,:,1)*zdtdy ) ! FK dtdy at v-pt |
---|
1225 | IF ( iom_use("zdsdx") ) CALL iom_put( "zdsdx", umask(:,:,1)*zdsdx ) ! FK dtdx at u-pt |
---|
1226 | IF ( iom_use("zdsdy") ) CALL iom_put( "zdsdy", vmask(:,:,1)*zdsdy ) ! FK dsdy at v-pt |
---|
1227 | IF ( iom_use("dbdx_mle") ) CALL iom_put( "dbdx_mle", umask(:,:,1)*dbdx_mle ) ! FK dbdx at u-pt |
---|
1228 | IF ( iom_use("dbdy_mle") ) CALL iom_put( "dbdy_mle", vmask(:,:,1)*dbdy_mle ) ! FK dbdy at v-pt |
---|
1229 | IF ( iom_use("zdiff_mle") ) CALL iom_put( "zdiff_mle", tmask(:,:,1)*zdiff_mle ) ! FK diff in MLE at t-pt |
---|
1230 | IF ( iom_use("zvel_mle") ) CALL iom_put( "zvel_mle", tmask(:,:,1)*zdiff_mle ) ! FK diff in MLE at t-pt |
---|
1231 | |
---|
1232 | END IF |
---|
1233 | IF( ln_timing ) CALL timing_stop('zdf_osm') |
---|
1234 | |
---|
1235 | END SUBROUTINE zdf_osm |
---|
1236 | |
---|
1237 | SUBROUTINE zdf_osm_vertical_average( Kbb, Kmm, knlev, pt, ps, & |
---|
1238 | & pb, pu, pv, kp_ext, pdt, & |
---|
1239 | & pds, pdb, pdu, pdv ) |
---|
1240 | !!--------------------------------------------------------------------- |
---|
1241 | !! *** ROUTINE zdf_vertical_average *** |
---|
1242 | !! |
---|
1243 | !! ** Purpose : Determines vertical averages from surface to knlev, |
---|
1244 | !! and optionally the differences between these vertical |
---|
1245 | !! averages and values at an external level |
---|
1246 | !! |
---|
1247 | !! ** Method : Averages are calculated from the surface to knlev. |
---|
1248 | !! The external level used to calculate differences is |
---|
1249 | !! knlev+kp_ext |
---|
1250 | !!---------------------------------------------------------------------- |
---|
1251 | INTEGER, INTENT(in ) :: Kbb, Kmm ! Ocean time-level indices |
---|
1252 | INTEGER, DIMENSION(jpi,jpj), INTENT(in ) :: knlev ! Number of levels to average over. |
---|
1253 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pt, ps ! Average temperature and salinity |
---|
1254 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pb ! Average buoyancy |
---|
1255 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pu, pv ! Average current components |
---|
1256 | INTEGER, DIMENSION(jpi,jpj), INTENT(in ), OPTIONAL :: kp_ext ! External-level offsets |
---|
1257 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out), OPTIONAL :: pdt, pds ! Difference between average temperature, salinity, |
---|
1258 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out), OPTIONAL :: pdb ! buoyancy, |
---|
1259 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out), OPTIONAL :: pdu, pdv ! velocity components and the OSBL |
---|
1260 | ! |
---|
1261 | INTEGER :: jk, jkflt, jkmax, ji, jj ! Loop indices |
---|
1262 | INTEGER :: ibld_ext ! External-layer index |
---|
1263 | REAL(wp), DIMENSION(jpi,jpj) :: zthick ! Layer thickness |
---|
1264 | REAL(wp) :: zthermal, zbeta ! Thermal/haline expansion/contraction coefficients |
---|
1265 | !!---------------------------------------------------------------------- |
---|
1266 | ! |
---|
1267 | IF( ln_timing ) CALL timing_start('zdf_osm_va') |
---|
1268 | ! |
---|
1269 | ! Averages over depth of boundary layer |
---|
1270 | pt(A2D(0)) = 0.0_wp |
---|
1271 | ps(A2D(0)) = 0.0_wp |
---|
1272 | pu(A2D(0)) = 0.0_wp |
---|
1273 | pv(A2D(0)) = 0.0_wp |
---|
1274 | zthick(:,:) = epsln |
---|
1275 | jkflt = jpk |
---|
1276 | jkmax = 0 |
---|
1277 | DO_2D( 0, 0, 0, 0 ) |
---|
1278 | IF ( knlev(ji,jj) < jkflt ) jkflt = knlev(ji,jj) |
---|
1279 | IF ( knlev(ji,jj) > jkmax ) jkmax = knlev(ji,jj) |
---|
1280 | END_2D |
---|
1281 | DO_3D( 0, 0, 0, 0, 2, jkflt ) ! Upper, flat part of layer |
---|
1282 | zthick(ji,jj) = zthick(ji,jj) + e3t(ji,jj,jk,Kmm) |
---|
1283 | pt(ji,jj) = pt(ji,jj) + e3t(ji,jj,jk,Kmm) * ts(ji,jj,jk,jp_tem,Kmm) |
---|
1284 | ps(ji,jj) = ps(ji,jj) + e3t(ji,jj,jk,Kmm) * ts(ji,jj,jk,jp_sal,Kmm) |
---|
1285 | pu(ji,jj) = pu(ji,jj) + e3t(ji,jj,jk,Kmm) * & |
---|
1286 | & ( uu(ji,jj,jk,Kbb) + uu(ji - 1,jj,jk,Kbb) ) / & |
---|
1287 | & MAX( 1.0_wp , umask(ji,jj,jk) + umask(ji - 1,jj,jk) ) |
---|
1288 | pv(ji,jj) = pv(ji,jj) + e3t(ji,jj,jk,Kmm) * & |
---|
1289 | & ( vv(ji,jj,jk,Kbb) + vv(ji,jj - 1,jk,Kbb) ) / & |
---|
1290 | & MAX( 1.0_wp , vmask(ji,jj,jk) + vmask(ji,jj - 1,jk) ) |
---|
1291 | END_3D |
---|
1292 | DO_3D( 0, 0, 0, 0, jkflt+1, jkmax ) ! Lower, non-flat part of layer |
---|
1293 | IF ( knlev(ji,jj) >= jk ) THEN |
---|
1294 | zthick(ji,jj) = zthick(ji,jj) + e3t(ji,jj,jk,Kmm) |
---|
1295 | pt(ji,jj) = pt(ji,jj) + e3t(ji,jj,jk,Kmm) * ts(ji,jj,jk,jp_tem,Kmm) |
---|
1296 | ps(ji,jj) = ps(ji,jj) + e3t(ji,jj,jk,Kmm) * ts(ji,jj,jk,jp_sal,Kmm) |
---|
1297 | pu(ji,jj) = pu(ji,jj) + e3t(ji,jj,jk,Kmm) * & |
---|
1298 | & ( uu(ji,jj,jk,Kbb) + uu(ji - 1,jj,jk,Kbb) ) / & |
---|
1299 | & MAX( 1.0_wp , umask(ji,jj,jk) + umask(ji - 1,jj,jk) ) |
---|
1300 | pv(ji,jj) = pv(ji,jj) + e3t(ji,jj,jk,Kmm) * & |
---|
1301 | & ( vv(ji,jj,jk,Kbb) + vv(ji,jj - 1,jk,Kbb) ) / & |
---|
1302 | & MAX( 1.0_wp , vmask(ji,jj,jk) + vmask(ji,jj - 1,jk) ) |
---|
1303 | END IF |
---|
1304 | END_3D |
---|
1305 | DO_2D( 0, 0, 0, 0 ) |
---|
1306 | pt(ji,jj) = pt(ji,jj) / zthick(ji,jj) |
---|
1307 | ps(ji,jj) = ps(ji,jj) / zthick(ji,jj) |
---|
1308 | pu(ji,jj) = pu(ji,jj) / zthick(ji,jj) |
---|
1309 | pv(ji,jj) = pv(ji,jj) / zthick(ji,jj) |
---|
1310 | zthermal = rab_n(ji,jj,1,jp_tem) ! ideally use nbld not 1?? |
---|
1311 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
1312 | pb(ji,jj) = grav * zthermal * pt(ji,jj) - grav * zbeta * ps(ji,jj) |
---|
1313 | END_2D |
---|
1314 | ! |
---|
1315 | ! Differences between vertical averages and values at an external layer |
---|
1316 | IF ( PRESENT( kp_ext ) ) THEN |
---|
1317 | DO_2D( 0, 0, 0, 0 ) |
---|
1318 | ibld_ext = knlev(ji,jj) + kp_ext(ji,jj) |
---|
1319 | IF ( ibld_ext <= mbkt(ji,jj)-1 ) THEN ! ag 09/03 |
---|
1320 | ! Two external levels are available |
---|
1321 | pdt(ji,jj) = pt(ji,jj) - ts(ji,jj,ibld_ext,jp_tem,Kmm) |
---|
1322 | pds(ji,jj) = ps(ji,jj) - ts(ji,jj,ibld_ext,jp_sal,Kmm) |
---|
1323 | pdu(ji,jj) = pu(ji,jj) - ( uu(ji,jj,ibld_ext,Kbb) + uu(ji-1,jj,ibld_ext,Kbb ) ) / & |
---|
1324 | & MAX(1.0_wp , umask(ji,jj,ibld_ext ) + umask(ji-1,jj,ibld_ext ) ) |
---|
1325 | pdv(ji,jj) = pv(ji,jj) - ( vv(ji,jj,ibld_ext,Kbb) + vv(ji,jj-1,ibld_ext,Kbb ) ) / & |
---|
1326 | & MAX(1.0_wp , vmask(ji,jj,ibld_ext ) + vmask(ji,jj-1,ibld_ext ) ) |
---|
1327 | zthermal = rab_n(ji,jj,1,jp_tem) ! ideally use nbld not 1?? |
---|
1328 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
1329 | pdb(ji,jj) = grav * zthermal * pdt(ji,jj) - grav * zbeta * pds(ji,jj) |
---|
1330 | ELSE |
---|
1331 | pdt(ji,jj) = 0.0_wp |
---|
1332 | pds(ji,jj) = 0.0_wp |
---|
1333 | pdu(ji,jj) = 0.0_wp |
---|
1334 | pdv(ji,jj) = 0.0_wp |
---|
1335 | pdb(ji,jj) = 0.0_wp |
---|
1336 | ENDIF |
---|
1337 | END_2D |
---|
1338 | END IF |
---|
1339 | ! |
---|
1340 | IF( ln_timing ) CALL timing_stop('zdf_osm_va') |
---|
1341 | ! |
---|
1342 | END SUBROUTINE zdf_osm_vertical_average |
---|
1343 | |
---|
1344 | SUBROUTINE zdf_osm_velocity_rotation_2d( pu, pv, fwd ) |
---|
1345 | !!--------------------------------------------------------------------- |
---|
1346 | !! *** ROUTINE zdf_velocity_rotation_2d *** |
---|
1347 | !! |
---|
1348 | !! ** Purpose : Rotates frame of reference of velocity components pu and |
---|
1349 | !! pv (2d) |
---|
1350 | !! |
---|
1351 | !! ** Method : The velocity components are rotated into (fwd=.TRUE.) or |
---|
1352 | !! from (fwd=.FALSE.) the frame specified by scos_wind and |
---|
1353 | !! ssin_wind |
---|
1354 | !! |
---|
1355 | !!---------------------------------------------------------------------- |
---|
1356 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj) :: pu, pv ! Components of current |
---|
1357 | LOGICAL, OPTIONAL, INTENT(in ) :: fwd ! Forward (default) or reverse rotation |
---|
1358 | ! |
---|
1359 | INTEGER :: ji, jj ! Loop indices |
---|
1360 | REAL(wp) :: ztmp, zfwd ! Auxiliary variables |
---|
1361 | ! |
---|
1362 | IF( ln_timing ) CALL timing_start('zdf_osm_vr') |
---|
1363 | ! |
---|
1364 | zfwd = 1.0_wp |
---|
1365 | IF( PRESENT(fwd) .AND. ( fwd==.FALSE. ) ) zfwd = -1.0_wp |
---|
1366 | DO_2D( 0, 0, 0, 0 ) |
---|
1367 | ztmp = pu(ji,jj) |
---|
1368 | pu(ji,jj) = pu(ji,jj) * scos_wind(ji,jj) + zfwd * pv(ji,jj) * ssin_wind(ji,jj) |
---|
1369 | pv(ji,jj) = pv(ji,jj) * scos_wind(ji,jj) - zfwd * ztmp * ssin_wind(ji,jj) |
---|
1370 | END_2D |
---|
1371 | ! |
---|
1372 | IF( ln_timing ) CALL timing_stop('zdf_osm_vr') |
---|
1373 | ! |
---|
1374 | END SUBROUTINE zdf_osm_velocity_rotation_2d |
---|
1375 | |
---|
1376 | SUBROUTINE zdf_osm_velocity_rotation_3d( pu, pv, fwd, ktop, knlev ) |
---|
1377 | !!--------------------------------------------------------------------- |
---|
1378 | !! *** ROUTINE zdf_velocity_rotation_3d *** |
---|
1379 | !! |
---|
1380 | !! ** Purpose : Rotates frame of reference of velocity components pu and |
---|
1381 | !! pv (3d) |
---|
1382 | !! |
---|
1383 | !! ** Method : The velocity components are rotated into (fwd=.TRUE.) or |
---|
1384 | !! from (fwd=.FALSE.) the frame specified by scos_wind and |
---|
1385 | !! ssin_wind; optionally, the rotation can be restricted at |
---|
1386 | !! each water column to span from the a minimum index ktop to |
---|
1387 | !! the depth index specified in array knlev |
---|
1388 | !! |
---|
1389 | !!---------------------------------------------------------------------- |
---|
1390 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pu, pv ! Components of current |
---|
1391 | LOGICAL, OPTIONAL, INTENT(in ) :: fwd ! Forward (default) or reverse rotation |
---|
1392 | INTEGER, OPTIONAL, INTENT(in ) :: ktop ! Minimum depth index |
---|
1393 | INTEGER, OPTIONAL, INTENT(in ), DIMENSION(jpi,jpj) :: knlev ! Array of maximum depth indices |
---|
1394 | ! |
---|
1395 | INTEGER :: ji, jj, jk, jktop, jkmax ! Loop indices |
---|
1396 | REAL(wp) :: ztmp, zfwd ! Auxiliary variables |
---|
1397 | LOGICAL :: llkbot ! Auxiliary variable |
---|
1398 | ! |
---|
1399 | IF( ln_timing ) CALL timing_start('zdf_osm_vr') |
---|
1400 | ! |
---|
1401 | zfwd = 1.0_wp |
---|
1402 | IF( PRESENT(fwd) .AND. ( fwd==.FALSE. ) ) zfwd = -1.0_wp |
---|
1403 | jktop = 1 |
---|
1404 | IF( PRESENT(ktop) ) jktop = ktop |
---|
1405 | IF( PRESENT(knlev) ) THEN |
---|
1406 | jkmax = 0 |
---|
1407 | DO_2D( 0, 0, 0, 0 ) |
---|
1408 | IF ( knlev(ji,jj) > jkmax ) jkmax = knlev(ji,jj) |
---|
1409 | END_2D |
---|
1410 | llkbot = .FALSE. |
---|
1411 | ELSE |
---|
1412 | jkmax = jpk |
---|
1413 | llkbot = .TRUE. |
---|
1414 | END IF |
---|
1415 | DO_3D( 0, 0, 0, 0, jktop, jkmax ) |
---|
1416 | IF ( llkbot .OR. knlev(ji,jj) >= jk ) THEN |
---|
1417 | ztmp = pu(ji,jj,jk) |
---|
1418 | pu(ji,jj,jk) = pu(ji,jj,jk) * scos_wind(ji,jj) + zfwd * pv(ji,jj,jk) * ssin_wind(ji,jj) |
---|
1419 | pv(ji,jj,jk) = pv(ji,jj,jk) * scos_wind(ji,jj) - zfwd * ztmp * ssin_wind(ji,jj) |
---|
1420 | END IF |
---|
1421 | END_3D |
---|
1422 | ! |
---|
1423 | IF( ln_timing ) CALL timing_stop('zdf_osm_vr') |
---|
1424 | ! |
---|
1425 | END SUBROUTINE zdf_osm_velocity_rotation_3d |
---|
1426 | |
---|
1427 | SUBROUTINE zdf_osm_osbl_state( Kmm, pwb_ent, pwb_min, pshear, phbl, & |
---|
1428 | & phml, pdh, pdb_bl, pdu_bl, pdv_bl, & |
---|
1429 | & pdb_ml, pdu_ml, pdv_ml ) |
---|
1430 | !!--------------------------------------------------------------------- |
---|
1431 | !! *** ROUTINE zdf_osm_osbl_state *** |
---|
1432 | !! |
---|
1433 | !! ** Purpose : Determines the state of the OSBL, stable/unstable, |
---|
1434 | !! shear/ noshear. Also determines shear production, |
---|
1435 | !! entrainment buoyancy flux and interfacial Richardson |
---|
1436 | !! number |
---|
1437 | !! |
---|
1438 | !! ** Method : |
---|
1439 | !! |
---|
1440 | !!---------------------------------------------------------------------- |
---|
1441 | INTEGER, INTENT(in ) :: Kmm ! Ocean time-level index |
---|
1442 | REAL(wp), DIMENSION(:,:), INTENT( out) :: pwb_ent ! Buoyancy fluxes at base |
---|
1443 | REAL(wp), DIMENSION(:,:), INTENT( out) :: pwb_min ! of well-mixed layer |
---|
1444 | REAL(wp), DIMENSION(:,:), INTENT( out) :: pshear ! Production of TKE due to shear across the pycnocline |
---|
1445 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: phbl ! BL depth |
---|
1446 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: phml ! ML depth |
---|
1447 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdh ! Pycnocline depth |
---|
1448 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdb_bl ! Buoyancy diff. between BL average and basal value |
---|
1449 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdu_bl ! Velocity diff. (u) between BL average and basal value |
---|
1450 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdv_bl ! Velocity diff. (v) between BL average and basal value |
---|
1451 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdb_ml ! Buoyancy diff. between mixed-layer average and basal value |
---|
1452 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdu_ml ! Velocity diff. (u) between mixed-layer average and basal value |
---|
1453 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdv_ml ! Velocity diff. (v) between mixed-layer average and basal value |
---|
1454 | ! |
---|
1455 | ! Local variables |
---|
1456 | INTEGER :: jj, ji ! Loop indices |
---|
1457 | ! |
---|
1458 | REAL(wp), DIMENSION(A2D(0)) :: zekman |
---|
1459 | REAL(wp), DIMENSION(A2D(0)) :: zri_p, zri_b ! Richardson numbers |
---|
1460 | REAL(wp) :: zshear_u, zshear_v, zwb_shr |
---|
1461 | REAL(wp) :: zwcor, zrf_conv, zrf_shear, zrf_langmuir, zr_stokes |
---|
1462 | ! |
---|
1463 | REAL(wp), PARAMETER :: pp_a_shr = 0.4_wp, pp_b_shr = 6.5_wp, pp_a_wb_s = 0.8_wp |
---|
1464 | REAL(wp), PARAMETER :: pp_alpha_c = 0.2_wp, pp_alpha_lc = 0.03_wp |
---|
1465 | REAL(wp), PARAMETER :: pp_alpha_ls = 0.06_wp, pp_alpha_s = 0.15_wp |
---|
1466 | REAL(wp), PARAMETER :: pp_ri_p_thresh = 27.0_wp |
---|
1467 | REAL(wp), PARAMETER :: pp_ri_c = 0.25_wp |
---|
1468 | REAL(wp), PARAMETER :: pp_ek = 4.0_wp |
---|
1469 | REAL(wp), PARAMETER :: pp_large = -1e10_wp |
---|
1470 | ! |
---|
1471 | IF( ln_timing ) CALL timing_start('zdf_osm_os') |
---|
1472 | ! |
---|
1473 | ! Initialise INTENT( out) arrays |
---|
1474 | l_conv(:,:) = .FALSE. |
---|
1475 | l_shear(:,:) = .FALSE. |
---|
1476 | n_ddh(:,:) = 1 |
---|
1477 | pwb_ent(:,:) = pp_large |
---|
1478 | pwb_min(:,:) = pp_large |
---|
1479 | pshear(:,:) = pp_large |
---|
1480 | ! |
---|
1481 | ! Determins stability and set flag l_conv |
---|
1482 | DO_2D( 0, 0, 0, 0 ) |
---|
1483 | IF ( shol(ji,jj) < 0._wp ) THEN |
---|
1484 | l_conv(ji,jj) = .TRUE. |
---|
1485 | ELSE |
---|
1486 | l_conv(ji,jj) = .FALSE. |
---|
1487 | ENDIF |
---|
1488 | END_2D |
---|
1489 | ! |
---|
1490 | pshear(A2D(0)) = 0._wp |
---|
1491 | zekman(:,:) = EXP( -1.0_wp * pp_ek * ABS( ff_t(A2D(0)) ) * phbl(A2D(0)) / MAX(sustar(A2D(0)), 1.e-8 ) ) |
---|
1492 | ! |
---|
1493 | #ifdef key_osm_debug |
---|
1494 | IF(narea==nn_narea_db) THEN |
---|
1495 | ji=iloc_db; jj=jloc_db |
---|
1496 | WRITE(narea+100,'(a,g11.3)') & |
---|
1497 | & 'zdf_osm_osbl_state start: zekman=', zekman(ji,jj) |
---|
1498 | FLUSH(narea+100) |
---|
1499 | END IF |
---|
1500 | #endif |
---|
1501 | ! |
---|
1502 | DO_2D( 0, 0, 0, 0 ) |
---|
1503 | IF ( l_conv(ji,jj) ) THEN |
---|
1504 | IF ( pdb_bl(ji,jj) > 0.0_wp ) THEN |
---|
1505 | zri_p(ji,jj) = MAX ( SQRT( pdb_bl(ji,jj) * pdh(ji,jj) / MAX( pdu_bl(ji,jj)**2 + pdv_bl(ji,jj)**2, 1e-8_wp ) ) * & |
---|
1506 | & ( phbl(ji,jj) / pdh(ji,jj) ) * ( svstr(ji,jj) / MAX( sustar(ji,jj), 1e-6_wp ) )**2 / & |
---|
1507 | & MAX( zekman(ji,jj), 1.0e-6_wp ) , 5.0_wp ) |
---|
1508 | IF ( ff_t(ji,jj) >= 0.0_wp ) THEN ! Northern hemisphere |
---|
1509 | zri_b(ji,jj) = pdb_ml(ji,jj) * pdh(ji,jj) / ( MAX( pdu_ml(ji,jj), 1e-5_wp )**2 + & |
---|
1510 | & MAX( -1.0_wp * pdv_ml(ji,jj), 1e-5_wp)**2 ) |
---|
1511 | ELSE ! Southern hemisphere |
---|
1512 | zri_b(ji,jj) = pdb_ml(ji,jj) * pdh(ji,jj) / ( MAX( pdu_ml(ji,jj), 1e-5_wp )**2 + & |
---|
1513 | & MAX( pdv_ml(ji,jj), 1e-5_wp)**2 ) |
---|
1514 | END IF |
---|
1515 | pshear(ji,jj) = pp_a_shr * zekman(ji,jj) * & |
---|
1516 | & ( MAX( sustar(ji,jj)**2 * pdu_ml(ji,jj) / phbl(ji,jj), 0.0_wp ) + & |
---|
1517 | & pp_b_shr * MAX( -1.0_wp * ff_t(ji,jj) * sustke(ji,jj) * dstokes(ji,jj) * & |
---|
1518 | & pdv_ml(ji,jj) / phbl(ji,jj), 0.0_wp ) ) |
---|
1519 | #ifdef key_osm_debug |
---|
1520 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
1521 | WRITE(narea+100,'(a,g11.3)')'zdf_osm_osbl_state 1st zshear: zshear=',pshear(ji,jj) |
---|
1522 | WRITE(narea+100,'(2(a,g11.3))')'zdf_osm_osbl_state 1st zshear: zri_b=',zri_b(ji,jj),' zri_p=',zri_p(ji,jj) |
---|
1523 | FLUSH(narea+100) |
---|
1524 | END IF |
---|
1525 | #endif |
---|
1526 | ! Stability dependence |
---|
1527 | pshear(ji,jj) = pshear(ji,jj) * EXP( -0.75_wp * MAX( 0.0_wp, ( zri_b(ji,jj) - pp_ri_c ) / pp_ri_c ) ) |
---|
1528 | #ifdef key_osm_debug |
---|
1529 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
1530 | WRITE(narea+100,'(a,g11.3)')'zdf_osm_osbl_state 1st zshear: zshear inc ri part=',pshear(ji,jj) |
---|
1531 | FLUSH(narea+100) |
---|
1532 | END IF |
---|
1533 | #endif |
---|
1534 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
1535 | ! Test ensures n_ddh=0 is not selected. Change to zri_p<27 when ! |
---|
1536 | ! full code available ! |
---|
1537 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
1538 | IF ( pshear(ji,jj) > 1e-10 ) THEN |
---|
1539 | IF ( zri_p(ji,jj) < pp_ri_p_thresh .AND. MIN( hu(ji,jj,Kmm), hu(ji-1,jj,Kmm), hv(ji,jj,Kmm), hv(ji,jj-1,Kmm) ) > 100.0_wp ) THEN |
---|
1540 | ! Growing shear layer |
---|
1541 | n_ddh(ji,jj) = 0 |
---|
1542 | l_shear(ji,jj) = .TRUE. |
---|
1543 | ELSE |
---|
1544 | n_ddh(ji,jj) = 1 |
---|
1545 | ! IF ( zri_b <= 1.5 .and. pshear(ji,jj) > 0._wp ) THEN |
---|
1546 | ! Shear production large enough to determine layer charcteristics, but can't maintain a shear layer |
---|
1547 | l_shear(ji,jj) = .TRUE. |
---|
1548 | ! ELSE |
---|
1549 | END IF |
---|
1550 | ELSE |
---|
1551 | n_ddh(ji,jj) = 2 |
---|
1552 | l_shear(ji,jj) = .FALSE. |
---|
1553 | END IF |
---|
1554 | ! Shear production may not be zero, but is small and doesn't determine characteristics of pycnocline |
---|
1555 | ! pshear(ji,jj) = 0.5 * pshear(ji,jj) |
---|
1556 | ! l_shear(ji,jj) = .FALSE. |
---|
1557 | ! ENDIF |
---|
1558 | ELSE ! pdb_bl test, note pshear set to zero |
---|
1559 | n_ddh(ji,jj) = 2 |
---|
1560 | l_shear(ji,jj) = .FALSE. |
---|
1561 | ENDIF |
---|
1562 | ENDIF |
---|
1563 | END_2D |
---|
1564 | ! |
---|
1565 | ! Calculate entrainment buoyancy flux due to surface fluxes. |
---|
1566 | DO_2D( 0, 0, 0, 0 ) |
---|
1567 | IF ( l_conv(ji,jj) ) THEN |
---|
1568 | zwcor = ABS( ff_t(ji,jj) ) * phbl(ji,jj) + epsln |
---|
1569 | zrf_conv = TANH( ( swstrc(ji,jj) / zwcor )**0.69_wp ) |
---|
1570 | zrf_shear = TANH( ( sustar(ji,jj) / zwcor )**0.69_wp ) |
---|
1571 | zrf_langmuir = TANH( ( swstrl(ji,jj) / zwcor )**0.69_wp ) |
---|
1572 | IF ( nn_osm_SD_reduce > 0 ) THEN |
---|
1573 | ! Effective Stokes drift already reduced from surface value |
---|
1574 | zr_stokes = 1.0_wp |
---|
1575 | ELSE |
---|
1576 | ! Effective Stokes drift only reduced by factor rn_zdfodm_adjust_sd, |
---|
1577 | ! requires further reduction where BL is deep |
---|
1578 | zr_stokes = 1.0 - EXP( -25.0_wp * dstokes(ji,jj) / hbl(ji,jj) * ( 1.0_wp + 4.0_wp * dstokes(ji,jj) / hbl(ji,jj) ) ) |
---|
1579 | END IF |
---|
1580 | pwb_ent(ji,jj) = -2.0_wp * pp_alpha_c * zrf_conv * swbav(ji,jj) - & |
---|
1581 | & pp_alpha_s * zrf_shear * sustar(ji,jj)**3 / phml(ji,jj) + & |
---|
1582 | & zr_stokes * ( pp_alpha_s * EXP( -1.5_wp * sla(ji,jj) ) * zrf_shear * sustar(ji,jj)**3 - & |
---|
1583 | & zrf_langmuir * pp_alpha_lc * swstrl(ji,jj)**3 ) / phml(ji,jj) |
---|
1584 | #ifdef key_osm_debug |
---|
1585 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
1586 | WRITE(narea+100,'(a,g11.3)')'zdf_osm_osbl_state conv+shear0/lang: zwb_ent=',pwb_ent(ji,jj) |
---|
1587 | FLUSH(narea+100) |
---|
1588 | END IF |
---|
1589 | #endif |
---|
1590 | ENDIF |
---|
1591 | END_2D |
---|
1592 | ! |
---|
1593 | DO_2D( 0, 0, 0, 0 ) |
---|
1594 | IF ( l_shear(ji,jj) ) THEN |
---|
1595 | IF ( l_conv(ji,jj) ) THEN |
---|
1596 | ! Unstable OSBL |
---|
1597 | zwb_shr = -1.0_wp * pp_a_wb_s * zri_b(ji,jj) * pshear(ji,jj) |
---|
1598 | #ifdef key_osm_debug |
---|
1599 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
1600 | WRITE(narea+100,'(a,g11.3)')'zdf_osm_osbl_state 1st zwb_shr: zwb_shr=',zwb_shr |
---|
1601 | FLUSH(narea+100) |
---|
1602 | END IF |
---|
1603 | #endif |
---|
1604 | IF ( n_ddh(ji,jj) == 0 ) THEN |
---|
1605 | ! Developing shear layer, additional shear production possible. |
---|
1606 | |
---|
1607 | ! pshear_u = MAX( zustar(ji,jj)**2 * MAX( pdu_ml(ji,jj), 0._wp ) / phbl(ji,jj), 0._wp ) |
---|
1608 | ! pshear(ji,jj) = pshear(ji,jj) + pshear_u * ( 1.0 - MIN( zri_p(ji,jj) / pp_ri_p_thresh, 1.d0 )**2 ) |
---|
1609 | ! pshear(ji,jj) = MIN( pshear(ji,jj), pshear_u ) |
---|
1610 | |
---|
1611 | ! zwb_shr = zwb_shr - 0.25 * MAX ( pshear_u, 0._wp) * ( 1.0 - MIN( zri_p(ji,jj) / pp_ri_p_thresh, 1._wp )**2 ) |
---|
1612 | ! zwb_shr = MAX( zwb_shr, -0.25 * pshear_u ) |
---|
1613 | #ifdef key_osm_debug |
---|
1614 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
1615 | WRITE(narea+100,'(3(a,g11.3))')'zdf_osm_osbl_state j_ddh(ji,jj) == 0:zwb_shr=',zwb_shr, & |
---|
1616 | & ' zshear=',pshear(ji,jj),' zshear_u=', pshear_u |
---|
1617 | FLUSH(narea+100) |
---|
1618 | END IF |
---|
1619 | #endif |
---|
1620 | ENDIF |
---|
1621 | pwb_ent(ji,jj) = pwb_ent(ji,jj) + zwb_shr |
---|
1622 | ! pwb_min(ji,jj) = pwb_ent(ji,jj) + pdh(ji,jj) / phbl(ji,jj) * zwb0(ji,jj) |
---|
1623 | ELSE ! IF ( l_conv ) THEN - ENDIF |
---|
1624 | ! Stable OSBL - shear production not coded for first attempt. |
---|
1625 | ENDIF ! l_conv |
---|
1626 | END IF ! l_shear |
---|
1627 | IF ( l_conv(ji,jj) ) THEN |
---|
1628 | ! Unstable OSBL |
---|
1629 | pwb_min(ji,jj) = pwb_ent(ji,jj) + pdh(ji,jj) / phbl(ji,jj) * 2.0_wp * swbav(ji,jj) |
---|
1630 | END IF ! l_conv |
---|
1631 | #ifdef key_osm_debug |
---|
1632 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
1633 | WRITE(narea+100,'(3(a,g11.3))')'end of zdf_osm_osbl_state:zwb_ent=',pwb_ent(ji,jj), & |
---|
1634 | & ' zwb_min=',pwb_min(ji,jj), ' zwb0tot=', zwb0tot(ji,jj), ' swbav= ', swbav(ji,jj) |
---|
1635 | FLUSH(narea+100) |
---|
1636 | END IF |
---|
1637 | #endif |
---|
1638 | END_2D |
---|
1639 | ! |
---|
1640 | IF( ln_timing ) CALL timing_stop('zdf_osm_os') |
---|
1641 | ! |
---|
1642 | END SUBROUTINE zdf_osm_osbl_state |
---|
1643 | |
---|
1644 | SUBROUTINE zdf_osm_external_gradients( Kmm, kbase, pdtdz, pdsdz, pdbdz ) |
---|
1645 | !!--------------------------------------------------------------------- |
---|
1646 | !! *** ROUTINE zdf_osm_external_gradients *** |
---|
1647 | !! |
---|
1648 | !! ** Purpose : Calculates the gradients below the OSBL |
---|
1649 | !! |
---|
1650 | !! ** Method : Uses nbld and ibld_ext to determine levels to calculate the gradient. |
---|
1651 | !! |
---|
1652 | !!---------------------------------------------------------------------- |
---|
1653 | INTEGER, INTENT(in ) :: Kmm ! Ocean time-level index |
---|
1654 | INTEGER, DIMENSION(jpi,jpj), INTENT(in ) :: kbase ! OSBL base layer index |
---|
1655 | REAL(wp), DIMENSION(A2D(0)), INTENT( out) :: pdtdz, pdsdz, pdbdz ! External gradients of temperature, salinity and buoyancy |
---|
1656 | ! |
---|
1657 | ! Local variables |
---|
1658 | INTEGER :: ji, jj, jkb, jkb1 |
---|
1659 | REAL(wp) :: zthermal, zbeta |
---|
1660 | ! |
---|
1661 | REAL(wp), PARAMETER :: pp_large = -1e10_wp |
---|
1662 | ! |
---|
1663 | IF( ln_timing ) CALL timing_start('zdf_osm_eg') |
---|
1664 | ! |
---|
1665 | pdtdz(:,:) = pp_large |
---|
1666 | pdsdz(:,:) = pp_large |
---|
1667 | pdbdz(:,:) = pp_large |
---|
1668 | ! |
---|
1669 | DO_2D( 0, 0, 0, 0 ) |
---|
1670 | IF ( kbase(ji,jj)+1 < mbkt(ji,jj) ) THEN |
---|
1671 | zthermal = rab_n(ji,jj,1,jp_tem) ! Ideally use nbld not 1?? |
---|
1672 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
1673 | jkb = kbase(ji,jj) |
---|
1674 | jkb1 = MIN( jkb + 1, mbkt(ji,jj) ) |
---|
1675 | pdtdz(ji,jj) = -1.0_wp * ( ts(ji,jj,jkb1,jp_tem,Kmm) - ts(ji,jj,jkb,jp_tem,Kmm ) ) / e3w(ji,jj,jkb1,Kmm) |
---|
1676 | pdsdz(ji,jj) = -1.0_wp * ( ts(ji,jj,jkb1,jp_sal,Kmm) - ts(ji,jj,jkb,jp_sal,Kmm ) ) / e3w(ji,jj,jkb1,Kmm) |
---|
1677 | pdbdz(ji,jj) = grav * zthermal * pdtdz(ji,jj) - grav * zbeta * pdsdz(ji,jj) |
---|
1678 | ELSE |
---|
1679 | pdtdz(ji,jj) = 0.0_wp |
---|
1680 | pdsdz(ji,jj) = 0.0_wp |
---|
1681 | pdbdz(ji,jj) = 0.0_wp |
---|
1682 | END IF |
---|
1683 | END_2D |
---|
1684 | ! |
---|
1685 | IF( ln_timing ) CALL timing_stop('zdf_osm_eg') |
---|
1686 | ! |
---|
1687 | END SUBROUTINE zdf_osm_external_gradients |
---|
1688 | |
---|
1689 | SUBROUTINE zdf_osm_calculate_dhdt( pdhdt, phbl, pdh, pwb_ent, pwb_min, & |
---|
1690 | & pdb_bl, pdbdz_bl_ext, pdb_ml, pwb_fk_b, pwb_fk, & |
---|
1691 | & pvel_mle ) |
---|
1692 | !!--------------------------------------------------------------------- |
---|
1693 | !! *** ROUTINE zdf_osm_calculate_dhdt *** |
---|
1694 | !! |
---|
1695 | !! ** Purpose : Calculates the rate at which hbl changes. |
---|
1696 | !! |
---|
1697 | !! ** Method : |
---|
1698 | !! |
---|
1699 | !!---------------------------------------------------------------------- |
---|
1700 | REAL(wp), DIMENSION(A2D(0)), INTENT( out) :: pdhdt ! Rate of change of hbl |
---|
1701 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: phbl ! BL depth |
---|
1702 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdh ! Pycnocline depth |
---|
1703 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pwb_ent ! Buoyancy entrainment flux |
---|
1704 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pwb_min |
---|
1705 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdb_bl ! Buoyancy diff. between BL average and basal value |
---|
1706 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdbdz_bl_ext ! External buoyancy gradients |
---|
1707 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdb_ml ! Buoyancy diff. between mixed-layer average and basal value |
---|
1708 | REAL(wp), DIMENSION(:,:), INTENT( out) :: pwb_fk_b ! MLE buoyancy flux averaged over OSBL |
---|
1709 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pwb_fk ! Max MLE buoyancy flux |
---|
1710 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pvel_mle ! Vvelocity scale for dhdt with stable ML and FK |
---|
1711 | ! |
---|
1712 | ! Local variables |
---|
1713 | INTEGER :: jj, ji |
---|
1714 | REAL(wp) :: zgamma_b_nd, zgamma_dh_nd, zpert, zpsi, zari |
---|
1715 | REAL(wp) :: zvel_max, zddhdt |
---|
1716 | ! |
---|
1717 | REAL(wp), PARAMETER :: pp_alpha_b = 0.3_wp |
---|
1718 | REAL(wp), PARAMETER :: pp_ddh = 2.5_wp, pp_ddh_2 = 3.5_wp ! Also in pycnocline_depth |
---|
1719 | REAL(wp), PARAMETER :: pp_large = -1e10_wp |
---|
1720 | ! |
---|
1721 | IF( ln_timing ) CALL timing_start('zdf_osm_cd') |
---|
1722 | ! |
---|
1723 | pdhdt(:,:) = pp_large |
---|
1724 | pwb_fk_b(:,:) = pp_large |
---|
1725 | ! |
---|
1726 | DO_2D( 0, 0, 0, 0 ) |
---|
1727 | ! |
---|
1728 | IF ( l_shear(ji,jj) ) THEN |
---|
1729 | ! |
---|
1730 | IF ( l_conv(ji,jj) ) THEN ! Convective |
---|
1731 | ! |
---|
1732 | IF ( ln_osm_mle ) THEN |
---|
1733 | IF ( hmle(ji,jj) > hbl(ji,jj) ) THEN ! Fox-Kemper buoyancy flux average over OSBL |
---|
1734 | pwb_fk_b(ji,jj) = pwb_fk(ji,jj) * ( 1.0_wp + hmle(ji,jj) / ( 6.0_wp * hbl(ji,jj) ) * & |
---|
1735 | & ( -1.0_wp + ( 1.0_wp - 2.0_wp * hbl(ji,jj) / hmle(ji,jj) )**3 ) ) |
---|
1736 | ELSE |
---|
1737 | pwb_fk_b(ji,jj) = 0.5_wp * pwb_fk(ji,jj) * hmle(ji,jj) / hbl(ji,jj) |
---|
1738 | ENDIF |
---|
1739 | zvel_max = ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**p2third / hbl(ji,jj) |
---|
1740 | IF ( ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) < 0.0_wp ) THEN ! OSBL is deepening, |
---|
1741 | ! ! entrainment > restratification |
---|
1742 | IF ( pdb_bl(ji,jj) > 1e-15_wp ) THEN |
---|
1743 | zgamma_b_nd = MAX( pdbdz_bl_ext(ji,jj), 0.0_wp ) * pdh(ji,jj) / ( zvel_max + MAX( pdb_bl(ji,jj), 1e-15_wp ) ) |
---|
1744 | zpsi = ( 1.0_wp - 0.5_wp * pdh(ji,jj) / phbl(ji,jj) ) * & |
---|
1745 | & ( swb0(ji,jj) - MIN( ( pwb_min(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ), 0.0_wp ) ) * pdh(ji,jj) / phbl(ji,jj) |
---|
1746 | zpsi = zpsi + 1.75_wp * ( 1.0_wp - 0.5_wp * pdh(ji,jj) / phbl(ji,jj) ) * & |
---|
1747 | & ( pdh(ji,jj) / phbl(ji,jj) + zgamma_b_nd ) * MIN( ( pwb_min(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ), 0.0_wp ) |
---|
1748 | zpsi = pp_alpha_b * MAX( zpsi, 0.0_wp ) |
---|
1749 | pdhdt(ji,jj) = -1.0_wp * ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) / & |
---|
1750 | & ( zvel_max + MAX( pdb_bl(ji,jj), 1e-15_wp ) ) + & |
---|
1751 | & zpsi / ( zvel_max + MAX( pdb_bl(ji,jj), 1e-15_wp ) ) |
---|
1752 | #ifdef key_osm_debug |
---|
1753 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
1754 | WRITE(narea+100,'(a,g11.3)')'Inside 1st major loop of zdf_osm_calculate_dhdt, OSBL is deepening, entrainment > restratification: zdhdt=',pdhdt(ji,jj) |
---|
1755 | WRITE(narea+100,'(3(a,g11.3))') ' zpsi=',zpsi, ' zgamma_b_nd=', zgamma_b_nd, ' zdh=', pdh(ji,jj) |
---|
1756 | FLUSH(narea+100) |
---|
1757 | END IF |
---|
1758 | #endif |
---|
1759 | IF ( n_ddh(ji,jj) == 1 ) THEN |
---|
1760 | IF ( ( swstrc(ji,jj) / svstr(ji,jj) )**3 <= 0.5_wp ) THEN |
---|
1761 | zari = MIN( 1.5_wp * pdb_bl(ji,jj) / & |
---|
1762 | & ( phbl(ji,jj) * ( MAX( pdbdz_bl_ext(ji,jj), 0.0_wp ) + & |
---|
1763 | & pdb_bl(ji,jj)**2 / MAX( 4.5_wp * svstr(ji,jj)**2, & |
---|
1764 | & 1e-12_wp ) ) ), 0.2_wp ) |
---|
1765 | ELSE |
---|
1766 | zari = MIN( 1.5_wp * pdb_bl(ji,jj) / & |
---|
1767 | & ( phbl(ji,jj) * ( MAX( pdbdz_bl_ext(ji,jj), 0.0_wp ) + & |
---|
1768 | & pdb_bl(ji,jj)**2 / MAX( 4.5_wp * swstrc(ji,jj)**2, & |
---|
1769 | & 1e-12_wp ) ) ), 0.2_wp ) |
---|
1770 | ENDIF |
---|
1771 | ! Relaxation to dh_ref = zari * hbl |
---|
1772 | zddhdt = -1.0_wp * pp_ddh_2 * ( 1.0_wp - pdh(ji,jj) / ( zari * phbl(ji,jj) ) ) * pwb_ent(ji,jj) / & |
---|
1773 | & ( zvel_max + MAX( pdb_bl(ji,jj), 1e-15_wp ) ) |
---|
1774 | #ifdef key_osm_debug |
---|
1775 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
1776 | WRITE(narea+100,'(a,g11.3)')'Inside 1st major loop of zdf_osm_calculate_dhdt,j_ddh(ji,jj) == 1: zari=',zari |
---|
1777 | FLUSH(narea+100) |
---|
1778 | END IF |
---|
1779 | #endif |
---|
1780 | ELSE IF ( n_ddh(ji,jj) == 0 ) THEN ! Growing shear layer |
---|
1781 | zddhdt = -1.0_wp * pp_ddh * ( 1.0_wp - 1.6_wp * pdh(ji,jj) / phbl(ji,jj) ) * pwb_ent(ji,jj) / & |
---|
1782 | & ( zvel_max + MAX( pdb_bl(ji,jj), 1e-15_wp ) ) |
---|
1783 | zddhdt = EXP( -4.0_wp * ABS( ff_t(ji,jj) ) * phbl(ji,jj) / MAX(sustar(ji,jj), 1e-8_wp ) ) * zddhdt |
---|
1784 | ELSE |
---|
1785 | zddhdt = 0.0_wp |
---|
1786 | ENDIF ! n_ddh |
---|
1787 | pdhdt(ji,jj) = pdhdt(ji,jj) + pp_alpha_b * ( 1.0_wp - 0.5_wp * pdh(ji,jj) / phbl(ji,jj) ) * & |
---|
1788 | & pdb_ml(ji,jj) * MAX( zddhdt, 0.0_wp ) / & |
---|
1789 | & ( zvel_max + MAX( pdb_bl(ji,jj), 1e-15_wp ) ) |
---|
1790 | ELSE ! pdb_bl >0 |
---|
1791 | pdhdt(ji,jj) = -1.0_wp * ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) / MAX( zvel_max, 1e-15_wp ) |
---|
1792 | ENDIF |
---|
1793 | ELSE ! pwb_min + 2*pwb_fk_b < 0 |
---|
1794 | ! OSBL shoaling due to restratification flux. This is the velocity defined in Fox-Kemper et al (2008) |
---|
1795 | pdhdt(ji,jj) = -1.0_wp * MIN( pvel_mle(ji,jj), hbl(ji,jj) / 10800.0_wp ) |
---|
1796 | ENDIF |
---|
1797 | ELSE ! Fox-Kemper not used. |
---|
1798 | zvel_max = -1.0_wp * ( 1.0_wp + 1.0_wp * ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird * & |
---|
1799 | & rn_Dt / hbl(ji,jj) ) * pwb_ent(ji,jj) / & |
---|
1800 | & MAX( ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird, epsln ) |
---|
1801 | pdhdt(ji,jj) = -1.0_wp * pwb_ent(ji,jj) / ( zvel_max + MAX( pdb_bl(ji,jj), 1e-15_wp ) ) |
---|
1802 | ! added ajgn 23 July as temporay fix |
---|
1803 | ENDIF ! ln_osm_mle |
---|
1804 | ! |
---|
1805 | ELSE ! l_conv - Stable |
---|
1806 | ! |
---|
1807 | pdhdt(ji,jj) = ( 0.06_wp + 0.52_wp * shol(ji,jj) / 2.0_wp ) * svstr(ji,jj)**3 / hbl(ji,jj) + swbav(ji,jj) |
---|
1808 | IF ( pdhdt(ji,jj) < 0.0_wp ) THEN ! For long timsteps factor in brackets slows the rapid collapse of the OSBL |
---|
1809 | zpert = 2.0_wp * ( 1.0_wp + 0.0_wp * 2.0_wp * svstr(ji,jj) * rn_Dt / hbl(ji,jj) ) * svstr(ji,jj)**2 / hbl(ji,jj) |
---|
1810 | ELSE |
---|
1811 | zpert = MAX( svstr(ji,jj)**2 / hbl(ji,jj), pdb_bl(ji,jj) ) |
---|
1812 | ENDIF |
---|
1813 | pdhdt(ji,jj) = 2.0_wp * pdhdt(ji,jj) / MAX( zpert, epsln ) |
---|
1814 | pdhdt(ji,jj) = MAX( pdhdt(ji,jj), -1.0_wp * hbl(ji,jj) / 5400.0_wp ) |
---|
1815 | ! |
---|
1816 | ENDIF ! l_conv |
---|
1817 | ! |
---|
1818 | ELSE ! l_shear |
---|
1819 | ! |
---|
1820 | IF ( l_conv(ji,jj) ) THEN ! Convective |
---|
1821 | ! |
---|
1822 | IF ( ln_osm_mle ) THEN |
---|
1823 | IF ( hmle(ji,jj) > hbl(ji,jj) ) THEN ! Fox-Kemper buoyancy flux average over OSBL |
---|
1824 | pwb_fk_b(ji,jj) = pwb_fk(ji,jj) * & |
---|
1825 | ( 1.0_wp + hmle(ji,jj) / ( 6.0_wp * hbl(ji,jj) ) * & |
---|
1826 | & ( -1.0_wp + ( 1.0_wp - 2.0_wp * hbl(ji,jj) / hmle(ji,jj))**3) ) |
---|
1827 | ELSE |
---|
1828 | pwb_fk_b(ji,jj) = 0.5_wp * pwb_fk(ji,jj) * hmle(ji,jj) / hbl(ji,jj) |
---|
1829 | ENDIF |
---|
1830 | zvel_max = ( swstrl(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**p2third / hbl(ji,jj) |
---|
1831 | IF ( ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) < 0.0_wp ) THEN ! OSBL is deepening, |
---|
1832 | ! ! entrainment > restratification |
---|
1833 | IF ( pdb_bl(ji,jj) > 0.0_wp .AND. pdbdz_bl_ext(ji,jj) > 0.0_wp ) THEN |
---|
1834 | pdhdt(ji,jj) = -1.0_wp * ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) / & |
---|
1835 | & ( zvel_max + MAX( pdb_bl(ji,jj), 1e-15_wp ) ) |
---|
1836 | ELSE |
---|
1837 | pdhdt(ji,jj) = -1.0_wp * ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) / MAX( zvel_max, 1e-15_wp ) |
---|
1838 | ENDIF |
---|
1839 | ELSE ! OSBL shoaling due to restratification flux. This is the velocity defined in Fox-Kemper et al (2008) |
---|
1840 | pdhdt(ji,jj) = -1.0_wp * MIN( pvel_mle(ji,jj), hbl(ji,jj) / 10800.0_wp ) |
---|
1841 | ENDIF |
---|
1842 | ELSE ! Fox-Kemper not used |
---|
1843 | zvel_max = -1.0_wp * pwb_ent(ji,jj) / MAX( ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird, epsln ) |
---|
1844 | pdhdt(ji,jj) = -1.0_wp * pwb_ent(ji,jj) / ( zvel_max + MAX( pdb_bl(ji,jj), 1e-15_wp ) ) |
---|
1845 | ! added ajgn 23 July as temporay fix |
---|
1846 | ENDIF ! ln_osm_mle |
---|
1847 | ! |
---|
1848 | ELSE ! Stable |
---|
1849 | ! |
---|
1850 | pdhdt(ji,jj) = ( 0.06_wp + 0.52_wp * shol(ji,jj) / 2.0_wp ) * svstr(ji,jj)**3 / hbl(ji,jj) + swbav(ji,jj) |
---|
1851 | IF ( pdhdt(ji,jj) < 0.0_wp ) THEN |
---|
1852 | ! For long timsteps factor in brackets slows the rapid collapse of the OSBL |
---|
1853 | zpert = 2.0_wp * svstr(ji,jj)**2 / hbl(ji,jj) |
---|
1854 | ELSE |
---|
1855 | zpert = MAX( svstr(ji,jj)**2 / hbl(ji,jj), pdb_bl(ji,jj) ) |
---|
1856 | ENDIF |
---|
1857 | pdhdt(ji,jj) = 2.0_wp * pdhdt(ji,jj) / MAX(zpert, epsln) |
---|
1858 | pdhdt(ji,jj) = MAX( pdhdt(ji,jj), -1.0_wp * hbl(ji,jj) / 5400.0_wp ) |
---|
1859 | ! |
---|
1860 | ENDIF ! l_conv |
---|
1861 | ! |
---|
1862 | ENDIF ! l_shear |
---|
1863 | #ifdef key_osm_debug |
---|
1864 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
1865 | WRITE(narea+100,'(4(a,g11.3))')'end of 1st major loop of zdf_osm_calculate_dhdt: zdhdt=',pdhdt(ji,jj), & |
---|
1866 | & ' zpert=', zpert, ' zddhdt=', zddhdt, ' zvel_max=', zvel_max |
---|
1867 | IF ( ln_osm_mle ) THEN |
---|
1868 | WRITE(narea+100,'(3(a,g11.3),/)') 'zvel_mle=',pvel_mle(ji,jj), ' zwb_fk_b=', pwb_fk_b(ji,jj), & |
---|
1869 | & ' zwb_ent + 2*zwb_fk_b =', pwb_ent(ji,jj) + 2.0 * pwb_fk_b(ji,jj) |
---|
1870 | FLUSH(narea+100) |
---|
1871 | END IF |
---|
1872 | END IF |
---|
1873 | #endif |
---|
1874 | ! |
---|
1875 | END_2D |
---|
1876 | ! |
---|
1877 | IF( ln_timing ) CALL timing_stop('zdf_osm_cd') |
---|
1878 | ! |
---|
1879 | END SUBROUTINE zdf_osm_calculate_dhdt |
---|
1880 | |
---|
1881 | SUBROUTINE zdf_osm_timestep_hbl( Kmm, pdhdt, phbl, phbl_t, pwb_ent, & |
---|
1882 | & pwb_fk_b ) |
---|
1883 | !!--------------------------------------------------------------------- |
---|
1884 | !! *** ROUTINE zdf_osm_timestep_hbl *** |
---|
1885 | !! |
---|
1886 | !! ** Purpose : Increments hbl. |
---|
1887 | !! |
---|
1888 | !! ** Method : If the change in hbl exceeds one model level the change is |
---|
1889 | !! is calculated by moving down the grid, changing the |
---|
1890 | !! buoyancy jump. This is to ensure that the change in hbl |
---|
1891 | !! does not overshoot a stable layer. |
---|
1892 | !! |
---|
1893 | !!---------------------------------------------------------------------- |
---|
1894 | INTEGER, INTENT(in ) :: Kmm ! Ocean time-level index |
---|
1895 | REAL(wp), DIMENSION(A2D(0)), INTENT(inout) :: pdhdt ! Rates of change of hbl |
---|
1896 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: phbl ! BL depth |
---|
1897 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: phbl_t ! BL depth |
---|
1898 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pwb_ent ! Buoyancy entrainment flux |
---|
1899 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pwb_fk_b ! MLE buoyancy flux averaged over OSBL |
---|
1900 | ! |
---|
1901 | ! Local variables |
---|
1902 | INTEGER :: jk, jj, ji, jm |
---|
1903 | REAL(wp) :: zhbl_s, zvel_max, zdb |
---|
1904 | REAL(wp) :: zthermal, zbeta |
---|
1905 | ! |
---|
1906 | IF( ln_timing ) CALL timing_start('zdf_osm_th') |
---|
1907 | ! |
---|
1908 | DO_2D( 0, 0, 0, 0 ) |
---|
1909 | #ifdef key_osm_debug |
---|
1910 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
1911 | WRITE(narea+100,'(2(a,i7))')'start of zdf_osm_timestep_hbl: old ibld=',nmld(ji,jj),' trial ibld=', nbld(ji,jj) |
---|
1912 | FLUSH(narea+100) |
---|
1913 | END IF |
---|
1914 | #endif |
---|
1915 | IF ( nbld(ji,jj) - nmld(ji,jj) > 1 ) THEN |
---|
1916 | ! |
---|
1917 | ! If boundary layer changes by more than one level, need to check for stable layers between initial and final depths. |
---|
1918 | ! |
---|
1919 | zhbl_s = hbl(ji,jj) |
---|
1920 | jm = nmld(ji,jj) |
---|
1921 | zthermal = rab_n(ji,jj,1,jp_tem) |
---|
1922 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
1923 | ! |
---|
1924 | IF ( l_conv(ji,jj) ) THEN ! Unstable |
---|
1925 | ! |
---|
1926 | IF( ln_osm_mle ) THEN |
---|
1927 | zvel_max = ( swstrl(ji,jj)**3 + swstrc(ji,jj)**3 )**p2third / hbl(ji,jj) |
---|
1928 | ELSE |
---|
1929 | zvel_max = -1.0_wp * ( 1.0_wp + 1.0_wp * ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird * rn_Dt / & |
---|
1930 | & hbl(ji,jj) ) * pwb_ent(ji,jj) / & |
---|
1931 | & ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird |
---|
1932 | ENDIF |
---|
1933 | #ifdef key_osm_debug |
---|
1934 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
1935 | WRITE(narea+100,'(a,g11.3)')'In zdf_osm_timestep_hbl, ibld - imld > 1, lconv=T: zvel_max=',zvel_max |
---|
1936 | FLUSH(narea+100) |
---|
1937 | END IF |
---|
1938 | #endif |
---|
1939 | DO jk = nmld(ji,jj), nbld(ji,jj) |
---|
1940 | zdb = MAX( grav * ( zthermal * ( av_t_bl(ji,jj) - ts(ji,jj,jm,jp_tem,Kmm) ) - & |
---|
1941 | & zbeta * ( av_s_bl(ji,jj) - ts(ji,jj,jm,jp_sal,Kmm) ) ), 0.0_wp ) + zvel_max |
---|
1942 | ! |
---|
1943 | IF ( ln_osm_mle ) THEN |
---|
1944 | zhbl_s = zhbl_s + MIN( rn_Dt * ( ( -1.0_wp * pwb_ent(ji,jj) - 2.0_wp * pwb_fk_b(ji,jj) ) / zdb ) / & |
---|
1945 | & REAL( nbld(ji,jj) - nmld(ji,jj), KIND=wp ), e3w(ji,jj,jm,Kmm) ) |
---|
1946 | ELSE |
---|
1947 | zhbl_s = zhbl_s + MIN( rn_Dt * ( -1.0_wp * pwb_ent(ji,jj) / zdb ) / & |
---|
1948 | & REAL( nbld(ji,jj) - nmld(ji,jj), KIND=wp ), e3w(ji,jj,jm,Kmm) ) |
---|
1949 | ENDIF |
---|
1950 | ! zhbl_s = MIN(zhbl_s, gdepw(ji,jj, mbkt(ji,jj) + 1,Kmm) - depth_tol) |
---|
1951 | IF ( zhbl_s >= gdepw(ji,jj,mbkt(ji,jj) + 1,Kmm) ) THEN |
---|
1952 | zhbl_s = MIN( zhbl_s, gdepw(ji,jj, mbkt(ji,jj) + 1, Kmm ) - depth_tol ) |
---|
1953 | l_pyc(ji,jj) = .FALSE. |
---|
1954 | ENDIF |
---|
1955 | IF ( zhbl_s >= gdepw(ji,jj,jm+1,Kmm) ) jm = jm + 1 |
---|
1956 | #ifdef key_osm_debug |
---|
1957 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
1958 | WRITE(narea+100,'(2(a,i7))')' jk=',jk,' jm=', jm |
---|
1959 | WRITE(narea+100,'(2(a,g11.3),a,l7)')'zdb=',zdb,' zhbl_s=', zhbl_s,' lpyc=',l_pyc(ji,jj) |
---|
1960 | FLUSH(narea+100) |
---|
1961 | END IF |
---|
1962 | #endif |
---|
1963 | END DO |
---|
1964 | hbl(ji,jj) = zhbl_s |
---|
1965 | nbld(ji,jj) = jm |
---|
1966 | ELSE ! Stable |
---|
1967 | #ifdef key_osm_debug |
---|
1968 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
1969 | WRITE(narea+100,'(a)')'In zdf_osm_timestep_hbl, ibld - imld > 1, lconv=F' |
---|
1970 | FLUSH(narea+100) |
---|
1971 | END IF |
---|
1972 | #endif |
---|
1973 | DO jk = nmld(ji,jj), nbld(ji,jj) |
---|
1974 | zdb = MAX( grav * ( zthermal * ( av_t_bl(ji,jj) - ts(ji,jj,jm,jp_tem,Kmm) ) - & |
---|
1975 | & zbeta * ( av_s_bl(ji,jj) - ts(ji,jj,jm,jp_sal,Kmm) ) ), 0.0_wp ) + & |
---|
1976 | & 2.0 * svstr(ji,jj)**2 / zhbl_s |
---|
1977 | ! |
---|
1978 | ! Alan is thuis right? I have simply changed hbli to hbl |
---|
1979 | shol(ji,jj) = -1.0_wp * zhbl_s / ( ( svstr(ji,jj)**3 + epsln ) / swbav(ji,jj) ) |
---|
1980 | pdhdt(ji,jj) = -1.0_wp * ( swbav(ji,jj) - 0.04_wp / 2.0_wp * swstrl(ji,jj)**3 / zhbl_s - & |
---|
1981 | & 0.15_wp / 2.0_wp * ( 1.0_wp - EXP( -1.5_wp * sla(ji,jj) ) ) * & |
---|
1982 | & sustar(ji,jj)**3 / zhbl_s ) * & |
---|
1983 | & ( 0.725_wp + 0.225_wp * EXP( -7.5_wp * shol(ji,jj) ) ) |
---|
1984 | pdhdt(ji,jj) = pdhdt(ji,jj) + swbav(ji,jj) |
---|
1985 | zhbl_s = zhbl_s + MIN( pdhdt(ji,jj) / zdb * rn_Dt / REAL( nbld(ji,jj) - nmld(ji,jj), KIND=wp ), & |
---|
1986 | & e3w(ji,jj,jm,Kmm) ) |
---|
1987 | |
---|
1988 | ! zhbl_s = MIN(zhbl_s, gdepw(ji,jj, mbkt(ji,jj) + 1,Kmm) - depth_tol) |
---|
1989 | IF ( zhbl_s >= mbkt(ji,jj) + 1 ) THEN |
---|
1990 | zhbl_s = MIN( zhbl_s, gdepw(ji,jj,mbkt(ji,jj)+1,Kmm) - depth_tol ) |
---|
1991 | l_pyc(ji,jj) = .FALSE. |
---|
1992 | ENDIF |
---|
1993 | IF ( zhbl_s >= gdepw(ji,jj,jm,Kmm) ) jm = jm + 1 |
---|
1994 | #ifdef key_osm_debug |
---|
1995 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
1996 | WRITE(narea+100,'(2(a,i7))')' jk=',jk,' jm=', jm |
---|
1997 | WRITE(narea+100,'(4(a,g11.3),a,l7)')'zdb=',zdb,' shol',shol(ji,jj),' zdhdt',pdhdt(ji,jj),' zhbl_s=', zhbl_s,' lpyc=',l_pyc(ji,jj) |
---|
1998 | FLUSH(narea+100) |
---|
1999 | END IF |
---|
2000 | #endif |
---|
2001 | END DO |
---|
2002 | ENDIF ! IF ( l_conv ) |
---|
2003 | hbl(ji,jj) = MAX( zhbl_s, gdepw(ji,jj,4,Kmm) ) |
---|
2004 | nbld(ji,jj) = MAX( jm, 4 ) |
---|
2005 | ELSE |
---|
2006 | ! change zero or one model level. |
---|
2007 | hbl(ji,jj) = MAX( phbl_t(ji,jj), gdepw(ji,jj,4,Kmm) ) |
---|
2008 | ENDIF |
---|
2009 | phbl(ji,jj) = gdepw(ji,jj,nbld(ji,jj),Kmm) |
---|
2010 | #ifdef key_osm_debug |
---|
2011 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2012 | WRITE(narea+100,'(2(a,g11.3),a,i7,/)')'end of zdf_osm_timestep_hbl: hbl=', hbl(ji,jj),' zhbl=', phbl(ji,jj),' ibld=', nbld(ji,jj) |
---|
2013 | FLUSH(narea+100) |
---|
2014 | END IF |
---|
2015 | #endif |
---|
2016 | END_2D |
---|
2017 | ! |
---|
2018 | IF( ln_timing ) CALL timing_stop('zdf_osm_th') |
---|
2019 | ! |
---|
2020 | END SUBROUTINE zdf_osm_timestep_hbl |
---|
2021 | |
---|
2022 | SUBROUTINE zdf_osm_pycnocline_thickness( Kmm, pdh, phml, pdhdt, pdb_bl, & |
---|
2023 | & phbl, pwb_ent, pdbdz_bl_ext, pwb_fk_b ) |
---|
2024 | !!--------------------------------------------------------------------- |
---|
2025 | !! *** ROUTINE zdf_osm_pycnocline_thickness *** |
---|
2026 | !! |
---|
2027 | !! ** Purpose : Calculates thickness of the pycnocline |
---|
2028 | !! |
---|
2029 | !! ** Method : The thickness is calculated from a prognostic equation |
---|
2030 | !! that relaxes the pycnocine thickness to a diagnostic |
---|
2031 | !! value. The time change is calculated assuming the |
---|
2032 | !! thickness relaxes exponentially. This is done to deal |
---|
2033 | !! with large timesteps. |
---|
2034 | !! |
---|
2035 | !!---------------------------------------------------------------------- |
---|
2036 | INTEGER, INTENT(in ) :: Kmm ! Ocean time-level index |
---|
2037 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: pdh ! Pycnocline thickness |
---|
2038 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: phml ! ML depth |
---|
2039 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdhdt ! BL depth tendency |
---|
2040 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdb_bl ! Buoyancy diff. between BL average and basal value |
---|
2041 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: phbl ! BL depth |
---|
2042 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pwb_ent ! Buoyancy entrainment flux |
---|
2043 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdbdz_bl_ext ! External buoyancy gradients |
---|
2044 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pwb_fk_b ! MLE buoyancy flux averaged over OSBL |
---|
2045 | |
---|
2046 | ! |
---|
2047 | ! Local variables |
---|
2048 | INTEGER :: jj, ji |
---|
2049 | INTEGER :: inhml |
---|
2050 | REAL(wp) :: zari, ztau, zdh_ref, zddhdt, zvel_max |
---|
2051 | REAL(wp) :: ztmp ! Auxiliary variable |
---|
2052 | ! |
---|
2053 | REAL, PARAMETER :: pp_ddh = 2.5_wp, pp_ddh_2 = 3.5_wp ! Also in pycnocline_depth |
---|
2054 | ! |
---|
2055 | IF( ln_timing ) CALL timing_start('zdf_osm_pt') |
---|
2056 | ! |
---|
2057 | DO_2D( 0, 0, 0, 0 ) |
---|
2058 | ! |
---|
2059 | IF ( l_shear(ji,jj) ) THEN |
---|
2060 | ! |
---|
2061 | IF ( l_conv(ji,jj) ) THEN |
---|
2062 | ! |
---|
2063 | IF ( pdb_bl(ji,jj) > 1e-15_wp ) THEN |
---|
2064 | IF ( n_ddh(ji,jj) == 0 ) THEN |
---|
2065 | zvel_max = ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**p2third / hbl(ji,jj) |
---|
2066 | ! ddhdt for pycnocline determined in osm_calculate_dhdt |
---|
2067 | zddhdt = -1.0_wp * pp_ddh * ( 1.0_wp - 1.6_wp * pdh(ji,jj) / phbl(ji,jj) ) * pwb_ent(ji,jj) / & |
---|
2068 | & ( zvel_max + MAX( pdb_bl(ji,jj), 1e-15 ) ) |
---|
2069 | zddhdt = EXP( -4.0_wp * ABS( ff_t(ji,jj) ) * phbl(ji,jj) / MAX( sustar(ji,jj), 1e-8 ) ) * zddhdt |
---|
2070 | ! Maximum limit for how thick the shear layer can grow relative to the thickness of the boundary layer |
---|
2071 | dh(ji,jj) = MIN( dh(ji,jj) + zddhdt * rn_Dt, 0.625_wp * hbl(ji,jj) ) |
---|
2072 | ELSE ! Need to recalculate because hbl has been updated |
---|
2073 | IF ( ( swstrc(ji,jj) / svstr(ji,jj) )**3 <= 0.5_wp ) THEN |
---|
2074 | ztmp = svstr(ji,jj) |
---|
2075 | ELSE |
---|
2076 | ztmp = swstrc(ji,jj) |
---|
2077 | END IF |
---|
2078 | zari = MIN( 1.5_wp * pdb_bl(ji,jj) / ( phbl(ji,jj) * ( MAX( pdbdz_bl_ext(ji,jj), 0.0_wp ) + & |
---|
2079 | & pdb_bl(ji,jj)**2 / MAX( 4.5_wp * ztmp**2, & |
---|
2080 | & 1e-12_wp ) ) ), 0.2_wp ) |
---|
2081 | ztau = MAX( pdb_bl(ji,jj) * ( zari * hbl(ji,jj) ) / ( pp_ddh_2 * MAX( -1.0_wp * pwb_ent(ji,jj), 1e-12_wp ) ), & |
---|
2082 | & 2.0_wp * rn_Dt ) |
---|
2083 | dh(ji,jj) = dh(ji,jj) * EXP( -1.0_wp * rn_Dt / ztau ) + & |
---|
2084 | & zari * phbl(ji,jj) * ( 1.0_wp - EXP( -1.0_wp * rn_Dt / ztau ) ) |
---|
2085 | IF ( dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zari * phbl(ji,jj) |
---|
2086 | END IF |
---|
2087 | ELSE |
---|
2088 | ztau = MAX( MAX( hbl(ji,jj) / ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird, epsln), 2.0_wp * rn_Dt ) |
---|
2089 | dh(ji,jj) = dh(ji,jj) * EXP( -1.0_wp * rn_Dt / ztau ) + & |
---|
2090 | & 0.2_wp * phbl(ji,jj) * ( 1.0_wp - EXP( -1.0_wp * rn_Dt / ztau ) ) |
---|
2091 | IF ( dh(ji,jj) > hbl(ji,jj) ) dh(ji,jj) = 0.2_wp * hbl(ji,jj) |
---|
2092 | END IF |
---|
2093 | ! |
---|
2094 | ELSE ! l_conv |
---|
2095 | ! Initially shear only for entraining OSBL. Stable code will be needed if extended to stable OSBL |
---|
2096 | ztau = hbl(ji,jj) / MAX(svstr(ji,jj), epsln) |
---|
2097 | IF ( pdhdt(ji,jj) >= 0.0_wp ) THEN ! Probably shouldn't include wm here |
---|
2098 | ! Boundary layer deepening |
---|
2099 | IF ( pdb_bl(ji,jj) > 0.0_wp ) THEN |
---|
2100 | ! Pycnocline thickness set by stratification - use same relationship as for neutral conditions |
---|
2101 | zari = MIN( 4.5_wp * ( svstr(ji,jj)**2 ) / MAX( pdb_bl(ji,jj) * phbl(ji,jj), epsln ) + 0.01_wp, 0.2_wp ) |
---|
2102 | zdh_ref = MIN( zari, 0.2_wp ) * hbl(ji,jj) |
---|
2103 | ELSE |
---|
2104 | zdh_ref = 0.2_wp * hbl(ji,jj) |
---|
2105 | ENDIF |
---|
2106 | ELSE ! IF(dhdt < 0) |
---|
2107 | zdh_ref = 0.2_wp * hbl(ji,jj) |
---|
2108 | ENDIF ! IF (dhdt >= 0) |
---|
2109 | dh(ji,jj) = dh(ji,jj) * EXP( -1.0_wp * rn_Dt / ztau ) + zdh_ref * ( 1.0_wp - EXP( -1.0_wp * rn_Dt / ztau ) ) |
---|
2110 | IF ( pdhdt(ji,jj) < 0.0_wp .AND. dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zdh_ref ! Can be a problem with dh>hbl for |
---|
2111 | ! ! rapid collapse |
---|
2112 | ENDIF |
---|
2113 | ! |
---|
2114 | ELSE ! l_shear = .FALSE., calculate ddhdt here |
---|
2115 | ! |
---|
2116 | IF ( l_conv(ji,jj) ) THEN |
---|
2117 | ! |
---|
2118 | IF( ln_osm_mle ) THEN |
---|
2119 | IF ( ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) < 0.0_wp ) THEN ! OSBL is deepening. Note wb_fk_b is zero if |
---|
2120 | ! ! ln_osm_mle=F |
---|
2121 | IF ( pdb_bl(ji,jj) > 0.0_wp .AND. pdbdz_bl_ext(ji,jj) > 0.0_wp ) THEN |
---|
2122 | IF ( ( swstrc(ji,jj) / MAX( svstr(ji,jj), epsln) )**3 <= 0.5_wp ) THEN ! Near neutral stability |
---|
2123 | ztmp = svstr(ji,jj) |
---|
2124 | ELSE ! Unstable |
---|
2125 | ztmp = swstrc(ji,jj) |
---|
2126 | END IF |
---|
2127 | zari = MIN( 1.5_wp * pdb_bl(ji,jj) / ( phbl(ji,jj) * & |
---|
2128 | & ( MAX( pdbdz_bl_ext(ji,jj), 0.0_wp) + & |
---|
2129 | & pdb_bl(ji,jj)**2 / MAX(4.5_wp * ztmp**2 , 1e-12_wp ) ) ), 0.2_wp ) |
---|
2130 | ELSE |
---|
2131 | zari = 0.2_wp |
---|
2132 | END IF |
---|
2133 | ELSE |
---|
2134 | zari = 0.2_wp |
---|
2135 | END IF |
---|
2136 | ztau = 0.2_wp * hbl(ji,jj) / MAX( epsln, ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird ) |
---|
2137 | zdh_ref = zari * hbl(ji,jj) |
---|
2138 | ELSE ! ln_osm_mle |
---|
2139 | IF ( pdb_bl(ji,jj) > 0.0_wp .AND. pdbdz_bl_ext(ji,jj) > 0.0_wp ) THEN |
---|
2140 | IF ( ( swstrc(ji,jj) / MAX( svstr(ji,jj), epsln ) )**3 <= 0.5_wp ) THEN ! Near neutral stability |
---|
2141 | ztmp = svstr(ji,jj) |
---|
2142 | ELSE ! Unstable |
---|
2143 | ztmp = swstrc(ji,jj) |
---|
2144 | END IF |
---|
2145 | zari = MIN( 1.5_wp * pdb_bl(ji,jj) / ( phbl(ji,jj) * & |
---|
2146 | & ( MAX( pdbdz_bl_ext(ji,jj), 0.0_wp ) + & |
---|
2147 | & pdb_bl(ji,jj)**2 / MAX( 4.5_wp * ztmp**2 , 1e-12_wp ) ) ), 0.2_wp ) |
---|
2148 | ELSE |
---|
2149 | zari = 0.2_wp |
---|
2150 | END IF |
---|
2151 | ztau = hbl(ji,jj) / MAX( epsln, ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird ) |
---|
2152 | zdh_ref = zari * hbl(ji,jj) |
---|
2153 | END IF ! ln_osm_mle |
---|
2154 | dh(ji,jj) = dh(ji,jj) * EXP( -1.0_wp * rn_Dt / ztau ) + zdh_ref * ( 1.0_wp - EXP( -1.0_wp * rn_Dt / ztau ) ) |
---|
2155 | ! IF ( pdhdt(ji,jj) < 0._wp .and. dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zdh_ref |
---|
2156 | IF ( dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zdh_ref |
---|
2157 | ! Alan: this hml is never defined or used |
---|
2158 | ELSE ! IF (l_conv) |
---|
2159 | ! |
---|
2160 | ztau = hbl(ji,jj) / MAX( svstr(ji,jj), epsln ) |
---|
2161 | IF ( pdhdt(ji,jj) >= 0.0_wp ) THEN ! Probably shouldn't include wm here |
---|
2162 | ! Boundary layer deepening |
---|
2163 | IF ( pdb_bl(ji,jj) > 0.0_wp ) THEN |
---|
2164 | ! Pycnocline thickness set by stratification - use same relationship as for neutral conditions. |
---|
2165 | zari = MIN( 4.5_wp * ( svstr(ji,jj)**2 ) / MAX( pdb_bl(ji,jj) * phbl(ji,jj), epsln ) + 0.01_wp , 0.2_wp ) |
---|
2166 | zdh_ref = MIN( zari, 0.2_wp ) * hbl(ji,jj) |
---|
2167 | ELSE |
---|
2168 | zdh_ref = 0.2_wp * hbl(ji,jj) |
---|
2169 | END IF |
---|
2170 | ELSE ! IF(dhdt < 0) |
---|
2171 | zdh_ref = 0.2_wp * hbl(ji,jj) |
---|
2172 | END IF ! IF (dhdt >= 0) |
---|
2173 | dh(ji,jj) = dh(ji,jj) * EXP( -1.0_wp * rn_Dt / ztau ) + zdh_ref * ( 1.0_wp - EXP( -1.0_wp * rn_Dt / ztau ) ) |
---|
2174 | IF ( pdhdt(ji,jj) < 0.0_wp .AND. dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zdh_ref ! Can be a problem with dh>hbl for |
---|
2175 | ! ! rapid collapse |
---|
2176 | END IF ! IF (l_conv) |
---|
2177 | ! |
---|
2178 | END IF ! l_shear |
---|
2179 | ! |
---|
2180 | hml(ji,jj) = hbl(ji,jj) - dh(ji,jj) |
---|
2181 | inhml = MAX( INT( dh(ji,jj) / MAX( e3t(ji,jj,nbld(ji,jj)-1,Kmm), 1e-3_wp ) ), 1 ) |
---|
2182 | nmld(ji,jj) = MAX( nbld(ji,jj) - inhml, 3 ) |
---|
2183 | phml(ji,jj) = gdepw(ji,jj,nmld(ji,jj),Kmm) |
---|
2184 | pdh(ji,jj) = phbl(ji,jj) - phml(ji,jj) |
---|
2185 | #ifdef key_osm_debug |
---|
2186 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2187 | WRITE(narea+100,'(4(a,g11.3),2(a,i7),/,5(a,g11.3),/)') 'end of zdf_osm_pycnocline_thickness:hml=',hml(ji,jj), & |
---|
2188 | & ' zhml=',phml(ji,jj),' zdh=', pdh(ji,jj), ' dh=', dh(ji,jj), ' imld=', nmld(ji,jj), ' inhml=', inhml, & |
---|
2189 | & 'zvel_max=', zvel_max, ' ztau=', ztau,' zdh_ref=', zdh_ref, ' zar=', zari, ' zddhdt=', zddhdt |
---|
2190 | FLUSH(narea+100) |
---|
2191 | END IF |
---|
2192 | #endif |
---|
2193 | ! |
---|
2194 | END_2D |
---|
2195 | ! |
---|
2196 | IF( ln_timing ) CALL timing_stop('zdf_osm_pt') |
---|
2197 | ! |
---|
2198 | END SUBROUTINE zdf_osm_pycnocline_thickness |
---|
2199 | |
---|
2200 | SUBROUTINE zdf_osm_pycnocline_buoyancy_profiles( Kmm, kp_ext, pdbdz, palpha, pdh, & |
---|
2201 | & pdb_bl, phbl, pdbdz_bl_ext, phml, pdb_ml, & |
---|
2202 | & pdhdt ) |
---|
2203 | !!--------------------------------------------------------------------- |
---|
2204 | !! *** ROUTINE zdf_osm_pycnocline_buoyancy_profiles *** |
---|
2205 | !! |
---|
2206 | !! ** Purpose : calculate pycnocline buoyancy profiles |
---|
2207 | !! |
---|
2208 | !! ** Method : |
---|
2209 | !! |
---|
2210 | !!---------------------------------------------------------------------- |
---|
2211 | INTEGER, INTENT(in ) :: Kmm ! Ocean time-level index |
---|
2212 | INTEGER, DIMENSION(:,:), INTENT(in ) :: kp_ext ! External-level offsets |
---|
2213 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: pdbdz ! Gradients in the pycnocline |
---|
2214 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: palpha |
---|
2215 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdh ! Pycnocline thickness |
---|
2216 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdb_bl ! Buoyancy diff. between BL average and basal value |
---|
2217 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: phbl ! BL depth |
---|
2218 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdbdz_bl_ext ! External buoyancy gradients |
---|
2219 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: phml ! ML depth |
---|
2220 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdb_ml ! Buoyancy diff. between mixed-layer average and basal value |
---|
2221 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdhdt ! Rates of change of hbl |
---|
2222 | ! |
---|
2223 | ! Local variables |
---|
2224 | INTEGER :: jk, jj, ji |
---|
2225 | REAL(wp) :: zbgrad |
---|
2226 | REAL(wp) :: zgamma_b_nd, znd |
---|
2227 | REAL(wp) :: zzeta_m |
---|
2228 | REAL(wp) :: ztmp ! Auxiliary variable |
---|
2229 | ! |
---|
2230 | REAL(wp), PARAMETER :: pp_gamma_b = 2.25_wp |
---|
2231 | ! |
---|
2232 | IF( ln_timing ) CALL timing_start('zdf_osm_pscp') |
---|
2233 | ! |
---|
2234 | DO_2D( 0, 0, 0, 0 ) |
---|
2235 | ! |
---|
2236 | IF ( nbld(ji,jj) + kp_ext(ji,jj) < mbkt(ji,jj) ) THEN |
---|
2237 | ! |
---|
2238 | IF ( l_conv(ji,jj) ) THEN ! Convective conditions |
---|
2239 | ! |
---|
2240 | IF ( l_pyc(ji,jj) ) THEN |
---|
2241 | ! |
---|
2242 | zzeta_m = 0.1_wp + 0.3_wp / ( 1.0_wp + EXP( -3.5_wp * LOG10( -1.0_wp * shol(ji,jj) ) ) ) |
---|
2243 | palpha(ji,jj) = 2.0_wp * ( 1.0_wp - ( 0.80_wp * zzeta_m + 0.5_wp * SQRT( 3.14159_wp / pp_gamma_b ) ) * & |
---|
2244 | & pdbdz_bl_ext(ji,jj) * pdh(ji,jj) / pdb_ml(ji,jj) ) / & |
---|
2245 | & ( 0.723_wp + SQRT( 3.14159_wp / pp_gamma_b ) ) |
---|
2246 | palpha(ji,jj) = MAX( palpha(ji,jj), 0.0_wp ) |
---|
2247 | ztmp = 1.0_wp / MAX( pdh(ji,jj), epsln ) |
---|
2248 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
2249 | ! Commented lines in this section are not needed in new code, once tested ! |
---|
2250 | ! can be removed ! |
---|
2251 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
2252 | ! ztgrad = zalpha * zdt_ml(ji,jj) * ztmp + zdtdz_bl_ext(ji,jj) |
---|
2253 | ! zsgrad = zalpha * zds_ml(ji,jj) * ztmp + zdsdz_bl_ext(ji,jj) |
---|
2254 | zbgrad = palpha(ji,jj) * pdb_ml(ji,jj) * ztmp + pdbdz_bl_ext(ji,jj) |
---|
2255 | zgamma_b_nd = pdbdz_bl_ext(ji,jj) * pdh(ji,jj) / MAX( pdb_ml(ji,jj), epsln ) |
---|
2256 | DO jk = 2, nbld(ji,jj) |
---|
2257 | znd = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phbl(ji,jj) ) * ztmp |
---|
2258 | IF ( znd <= zzeta_m ) THEN |
---|
2259 | ! zdtdz(ji,jj,jk) = zdtdz_bl_ext(ji,jj) + zalpha * zdt_ml(ji,jj) * ztmp * & |
---|
2260 | ! & EXP( -6.0 * ( znd -zzeta_m )**2 ) |
---|
2261 | ! zdsdz(ji,jj,jk) = zdsdz_bl_ext(ji,jj) + zalpha * zds_ml(ji,jj) * ztmp * & |
---|
2262 | ! & EXP( -6.0 * ( znd -zzeta_m )**2 ) |
---|
2263 | pdbdz(ji,jj,jk) = pdbdz_bl_ext(ji,jj) + palpha(ji,jj) * pdb_ml(ji,jj) * ztmp * & |
---|
2264 | & EXP( -6.0_wp * ( znd -zzeta_m )**2 ) |
---|
2265 | ELSE |
---|
2266 | ! zdtdz(ji,jj,jk) = ztgrad * EXP( -pp_gamma_b * ( znd - zzeta_m )**2 ) |
---|
2267 | ! zdsdz(ji,jj,jk) = zsgrad * EXP( -pp_gamma_b * ( znd - zzeta_m )**2 ) |
---|
2268 | pdbdz(ji,jj,jk) = zbgrad * EXP( -1.0_wp * pp_gamma_b * ( znd - zzeta_m )**2 ) |
---|
2269 | END IF |
---|
2270 | END DO |
---|
2271 | #ifdef key_osm_debug |
---|
2272 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2273 | WRITE(narea+100,'(a,/,3(a,g11.3),/,2(a,g11.3),/)')'end of zdf_osm_pycnocline_buoyancy_profiles:lconv=lpyc=T',& |
---|
2274 | & 'zzeta_m=', zzeta_m, ' zalpha=', palpha(ji,jj), ' ztmp=', ztmp,& |
---|
2275 | & ' zbgrad=', zbgrad, ' zgamma_b_nd=', zgamma_b_nd |
---|
2276 | FLUSH(narea+100) |
---|
2277 | END IF |
---|
2278 | #endif |
---|
2279 | END IF ! If no pycnocline pycnocline gradients set to zero |
---|
2280 | ! |
---|
2281 | ELSE ! Stable conditions |
---|
2282 | ! If pycnocline profile only defined when depth steady of increasing. |
---|
2283 | IF ( pdhdt(ji,jj) > 0.0_wp ) THEN ! Depth increasing, or steady. |
---|
2284 | IF ( pdb_bl(ji,jj) > 0.0_wp ) THEN |
---|
2285 | IF ( shol(ji,jj) >= 0.5_wp ) THEN ! Very stable - 'thick' pycnocline |
---|
2286 | ztmp = 1.0_wp / MAX( phbl(ji,jj), epsln ) |
---|
2287 | zbgrad = pdb_bl(ji,jj) * ztmp |
---|
2288 | DO jk = 2, nbld(ji,jj) |
---|
2289 | znd = gdepw(ji,jj,jk,Kmm) * ztmp |
---|
2290 | pdbdz(ji,jj,jk) = zbgrad * EXP( -15.0_wp * ( znd - 0.9_wp )**2 ) |
---|
2291 | END DO |
---|
2292 | ELSE ! Slightly stable - 'thin' pycnoline - needed when stable layer begins to form. |
---|
2293 | ztmp = 1.0_wp / MAX( pdh(ji,jj), epsln ) |
---|
2294 | zbgrad = pdb_bl(ji,jj) * ztmp |
---|
2295 | DO jk = 2, nbld(ji,jj) |
---|
2296 | znd = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phml(ji,jj) ) * ztmp |
---|
2297 | pdbdz(ji,jj,jk) = zbgrad * EXP( -1.75_wp * ( znd + 0.75_wp )**2 ) |
---|
2298 | END DO |
---|
2299 | END IF ! IF (shol >=0.5) |
---|
2300 | #ifdef key_osm_debug |
---|
2301 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2302 | WRITE(narea+100,'(1(a,g11.3))')'end of zdf_osm_pycnocline_buoyancy_profiles:lconv=F zbgrad=', zbgrad |
---|
2303 | ! WRITE(narea+100,'(1(a,g11.3))')'end of zdf_osm_pycnocline_scalar_profiles:lconv=F ztgrad=',& |
---|
2304 | ! & ztgrad, ' zsgrad=', zsgrad, ' zbgrad=', zbgrad |
---|
2305 | FLUSH(narea+100) |
---|
2306 | END IF |
---|
2307 | #endif |
---|
2308 | END IF ! IF (pdb_bl> 0.) |
---|
2309 | END IF ! IF (pdhdt >= 0) pdhdt < 0 not considered since pycnocline profile is zero and profile arrays are intialized to zero |
---|
2310 | ! |
---|
2311 | END IF ! IF (l_conv) |
---|
2312 | ! |
---|
2313 | END IF ! IF ( nbld(ji,jj) < mbkt(ji,jj) ) |
---|
2314 | ! |
---|
2315 | END_2D |
---|
2316 | ! |
---|
2317 | IF ( ln_dia_pyc_scl ) THEN ! Output of pycnocline gradient profiles |
---|
2318 | IF ( iom_use("zdbdz_pyc") ) CALL iom_put( "zdbdz_pyc", wmask(:,:,:) * pdbdz(:,:,:) ) |
---|
2319 | END IF |
---|
2320 | ! |
---|
2321 | IF( ln_timing ) CALL timing_stop('zdf_osm_pscp') |
---|
2322 | ! |
---|
2323 | END SUBROUTINE zdf_osm_pycnocline_buoyancy_profiles |
---|
2324 | |
---|
2325 | SUBROUTINE zdf_osm_diffusivity_viscosity( Kbb, Kmm, pdiffut, pviscos, phbl, & |
---|
2326 | & phml, pdh, pdhdt, pshear, & |
---|
2327 | & pwb_ent, pwb_min ) |
---|
2328 | !!--------------------------------------------------------------------- |
---|
2329 | !! *** ROUTINE zdf_osm_diffusivity_viscosity *** |
---|
2330 | !! |
---|
2331 | !! ** Purpose : Determines the eddy diffusivity and eddy viscosity |
---|
2332 | !! profiles in the mixed layer and the pycnocline. |
---|
2333 | !! |
---|
2334 | !! ** Method : |
---|
2335 | !! |
---|
2336 | !!---------------------------------------------------------------------- |
---|
2337 | INTEGER, INTENT(in ) :: Kbb, Kmm ! Ocean time-level indices |
---|
2338 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: pdiffut ! t-diffusivity |
---|
2339 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: pviscos ! Viscosity |
---|
2340 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: phbl ! BL depth |
---|
2341 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: phml ! ML depth |
---|
2342 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdh ! Pycnocline depth |
---|
2343 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdhdt ! BL depth tendency |
---|
2344 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pshear ! Shear production |
---|
2345 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pwb_ent ! Buoyancy entrainment flux |
---|
2346 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pwb_min |
---|
2347 | ! |
---|
2348 | ! Local variables |
---|
2349 | INTEGER :: ji, jj, jk ! Loop indices |
---|
2350 | ! |
---|
2351 | ! Scales used to calculate eddy diffusivity and viscosity profiles |
---|
2352 | REAL(wp), DIMENSION(A2D(0)) :: zdifml_sc, zvisml_sc |
---|
2353 | REAL(wp), DIMENSION(A2D(0)) :: zdifpyc_n_sc, zdifpyc_s_sc |
---|
2354 | REAL(wp), DIMENSION(A2D(0)) :: zvispyc_n_sc, zvispyc_s_sc |
---|
2355 | REAL(wp), DIMENSION(A2D(0)) :: zbeta_d_sc, zbeta_v_sc |
---|
2356 | REAL(wp), DIMENSION(A2D(0)) :: zb_coup, zc_coup_vis, zc_coup_dif |
---|
2357 | ! |
---|
2358 | REAL(wp) :: zvel_sc_pyc, zvel_sc_ml, zstab_fac, zz_b |
---|
2359 | REAL(wp) :: za_cubic, zb_d_cubic, zc_d_cubic, zd_d_cubic, & ! Coefficients in cubic polynomial specifying diffusivity |
---|
2360 | & zb_v_cubic, zc_v_cubic, zd_v_cubic ! and viscosity in pycnocline |
---|
2361 | REAL(wp) :: zznd_ml, zznd_pyc, ztmp |
---|
2362 | REAL(wp) :: zmsku, zmskv |
---|
2363 | ! |
---|
2364 | REAL(wp), PARAMETER :: pp_dif_ml = 0.8_wp, pp_vis_ml = 0.375_wp |
---|
2365 | REAL(wp), PARAMETER :: pp_dif_pyc = 0.15_wp, pp_vis_pyc = 0.142_wp |
---|
2366 | REAL(wp), PARAMETER :: pp_vispyc_shr = 0.15_wp |
---|
2367 | ! |
---|
2368 | IF( ln_timing ) CALL timing_start('zdf_osm_dv') |
---|
2369 | ! |
---|
2370 | zb_coup(:,:) = 0.0_wp |
---|
2371 | ! |
---|
2372 | DO_2D( 0, 0, 0, 0 ) |
---|
2373 | IF ( l_conv(ji,jj) ) THEN |
---|
2374 | ! |
---|
2375 | zvel_sc_pyc = ( 0.15_wp * svstr(ji,jj)**3 + swstrc(ji,jj)**3 + 4.25_wp * pshear(ji,jj) * phbl(ji,jj) )**pthird |
---|
2376 | zvel_sc_ml = ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird |
---|
2377 | zstab_fac = ( phml(ji,jj) / zvel_sc_ml * & |
---|
2378 | & ( 1.4_wp - 0.4_wp / ( 1.0_wp + EXP(-3.5_wp * LOG10(-shol(ji,jj) ) ) )**1.25_wp ) )**2 |
---|
2379 | ! |
---|
2380 | zdifml_sc(ji,jj) = pp_dif_ml * phml(ji,jj) * zvel_sc_ml |
---|
2381 | zvisml_sc(ji,jj) = pp_vis_ml * zdifml_sc(ji,jj) |
---|
2382 | #ifdef key_osm_debug |
---|
2383 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2384 | WRITE(narea+100,'(2(a,g11.3))')'Start of 1st major loop of osm_diffusivity_viscositys, ldconv=T: zdifml_sc=',zdifml_sc(ji,jj),' zvisml_sc=',zvisml_sc(ji,jj) |
---|
2385 | WRITE(narea+100,'(3(a,g11.3))')'zvel_sc_pyc=',zvel_sc_pyc,' zvel_sc_ml=',zvel_sc_ml,' zstab_fac=',zstab_fac |
---|
2386 | FLUSH(narea+100) |
---|
2387 | END IF |
---|
2388 | #endif |
---|
2389 | ! |
---|
2390 | IF ( l_pyc(ji,jj) ) THEN |
---|
2391 | zdifpyc_n_sc(ji,jj) = pp_dif_pyc * zvel_sc_ml * pdh(ji,jj) |
---|
2392 | zvispyc_n_sc(ji,jj) = 0.09_wp * zvel_sc_pyc * ( 1.0_wp - phbl(ji,jj) / pdh(ji,jj) )**2 * & |
---|
2393 | & ( 0.005_wp * ( av_u_ml(ji,jj) - av_u_bl(ji,jj) )**2 + & |
---|
2394 | & 0.0075_wp * ( av_v_ml(ji,jj) - av_v_bl(ji,jj) )**2 ) / & |
---|
2395 | & pdh(ji,jj) |
---|
2396 | zvispyc_n_sc(ji,jj) = pp_vis_pyc * zvel_sc_ml * pdh(ji,jj) + zvispyc_n_sc(ji,jj) * zstab_fac |
---|
2397 | #ifdef key_osm_debug |
---|
2398 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2399 | WRITE(narea+100,'(2(a,g11.3))')' lpyc=ldconv=T, variables w/o shear contributions: zdifpyc_n_sc',zdifpyc_n_sc(ji,jj) ,' zvispyc_n_sc=',zvispyc_n_sc(ji,jj) |
---|
2400 | FLUSH(narea+100) |
---|
2401 | END IF |
---|
2402 | #endif |
---|
2403 | ! |
---|
2404 | IF ( l_shear(ji,jj) .AND. n_ddh(ji,jj) /= 2 ) THEN |
---|
2405 | ztmp = pp_vispyc_shr * ( pshear(ji,jj) * phbl(ji,jj) )**pthird * phbl(ji,jj) |
---|
2406 | zdifpyc_n_sc(ji,jj) = zdifpyc_n_sc(ji,jj) + ztmp |
---|
2407 | zvispyc_n_sc(ji,jj) = zvispyc_n_sc(ji,jj) + ztmp |
---|
2408 | ENDIF |
---|
2409 | #ifdef key_osm_debug |
---|
2410 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2411 | WRITE(narea+100,'(2(a,g11.3))')' lpyc=ldconv=T, variables w shear contributions: zdifpyc_n_sc',zdifpyc_n_sc(ji,jj) ,' zvispyc_n_sc=',zvispyc_n_sc(ji,jj) |
---|
2412 | FLUSH(narea+100) |
---|
2413 | END IF |
---|
2414 | #endif |
---|
2415 | ! |
---|
2416 | zdifpyc_s_sc(ji,jj) = pwb_ent(ji,jj) + 0.0025_wp * zvel_sc_pyc * ( phbl(ji,jj) / pdh(ji,jj) - 1.0_wp ) * & |
---|
2417 | & ( av_b_ml(ji,jj) - av_b_bl(ji,jj) ) |
---|
2418 | zvispyc_s_sc(ji,jj) = 0.09_wp * ( pwb_min(ji,jj) + 0.0025_wp * zvel_sc_pyc * & |
---|
2419 | & ( phbl(ji,jj) / pdh(ji,jj) - 1.0_wp ) * & |
---|
2420 | & ( av_b_ml(ji,jj) - av_b_bl(ji,jj) ) ) |
---|
2421 | #ifdef key_osm_debug |
---|
2422 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2423 | WRITE(narea+100,'(2(a,g11.3))')' 1st shot at: zdifpyc_s_sc',zdifpyc_s_sc(ji,jj) ,' zvispyc_s_sc=',zvispyc_s_sc(ji,jj) |
---|
2424 | FLUSH(narea+100) |
---|
2425 | END IF |
---|
2426 | #endif |
---|
2427 | zdifpyc_s_sc(ji,jj) = 0.09_wp * zdifpyc_s_sc(ji,jj) * zstab_fac |
---|
2428 | zvispyc_s_sc(ji,jj) = zvispyc_s_sc(ji,jj) * zstab_fac |
---|
2429 | #ifdef key_osm_debug |
---|
2430 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2431 | WRITE(narea+100,'(2(a,g11.3))')' 2nd shot at: zdifpyc_s_sc',zdifpyc_s_sc(ji,jj) ,' zvispyc_s_sc=',zvispyc_s_sc(ji,jj) |
---|
2432 | FLUSH(narea+100) |
---|
2433 | END IF |
---|
2434 | #endif |
---|
2435 | ! |
---|
2436 | zdifpyc_s_sc(ji,jj) = MAX( zdifpyc_s_sc(ji,jj), -0.5_wp * zdifpyc_n_sc(ji,jj) ) |
---|
2437 | zvispyc_s_sc(ji,jj) = MAX( zvispyc_s_sc(ji,jj), -0.5_wp * zvispyc_n_sc(ji,jj) ) |
---|
2438 | |
---|
2439 | zbeta_d_sc(ji,jj) = 1.0_wp - ( ( zdifpyc_n_sc(ji,jj) + 1.4_wp * zdifpyc_s_sc(ji,jj) ) / & |
---|
2440 | & ( zdifml_sc(ji,jj) + epsln ) )**p2third |
---|
2441 | zbeta_v_sc(ji,jj) = 1.0_wp - 2.0_wp * ( zvispyc_n_sc(ji,jj) + zvispyc_s_sc(ji,jj) ) / ( zvisml_sc(ji,jj) + epsln ) |
---|
2442 | ELSE |
---|
2443 | zdifpyc_n_sc(ji,jj) = pp_dif_pyc * zvel_sc_ml * pdh(ji,jj) ! ag 19/03 |
---|
2444 | zdifpyc_s_sc(ji,jj) = 0.0_wp ! ag 19/03 |
---|
2445 | zvispyc_n_sc(ji,jj) = pp_vis_pyc * zvel_sc_ml * pdh(ji,jj) ! ag 19/03 |
---|
2446 | zvispyc_s_sc(ji,jj) = 0.0_wp ! ag 19/03 |
---|
2447 | IF(l_coup(ji,jj) ) THEN ! ag 19/03 |
---|
2448 | ! code from SUBROUTINE tke_tke zdftke.F90; uses bottom drag velocity rCdU_bot(ji,jj) = -Cd|ub| |
---|
2449 | ! already calculated at T-points in SUBROUTINE zdf_drg from zdfdrg.F90 |
---|
2450 | ! Gives friction velocity sqrt bottom drag/rho_0 i.e. u* = SQRT(rCdU_bot*ub) |
---|
2451 | ! wet-cell averaging .. |
---|
2452 | zmsku = 0.5_wp * ( 2.0_wp - umask(ji-1,jj,mbkt(ji,jj)) * umask(ji,jj,mbkt(ji,jj)) ) |
---|
2453 | zmskv = 0.5_wp * ( 2.0_wp - vmask(ji,jj-1,mbkt(ji,jj)) * vmask(ji,jj,mbkt(ji,jj)) ) |
---|
2454 | zb_coup(ji,jj) = 0.4_wp * SQRT(-1.0_wp * rCdU_bot(ji,jj) * & |
---|
2455 | & SQRT( ( zmsku*( uu(ji,jj,mbkt(ji,jj),Kbb)+uu(ji-1,jj,mbkt(ji,jj),Kbb) ) )**2 & |
---|
2456 | & + ( zmskv*( vv(ji,jj,mbkt(ji,jj),Kbb)+vv(ji,jj-1,mbkt(ji,jj),Kbb) ) )**2 ) ) |
---|
2457 | |
---|
2458 | zz_b = -1.0_wp * gdepw(ji,jj,mbkt(ji,jj)+1,Kmm) ! ag 19/03 |
---|
2459 | zc_coup_vis(ji,jj) = -0.5_wp * ( 0.5_wp * zvisml_sc(ji,jj) / phml(ji,jj) - zb_coup(ji,jj) ) / & |
---|
2460 | & ( phml(ji,jj) + zz_b ) ! ag 19/03 |
---|
2461 | #ifdef key_osm_debug |
---|
2462 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2463 | WRITE(narea+100,'(4(a,g11.3))')' lcoup = T; 1st pz_b= ', zz_b, ' pb_coup ', zb_coup(ji,jj), & |
---|
2464 | & ' pc_coup_vis ', zc_coup_vis(ji,jj), ' rCdU_bot ',rCdU_bot(ji,jj) |
---|
2465 | WRITE(narea+100,'(2(a,g11.3))')' zmsku ', zmsku, ' zmskv ', zmskv |
---|
2466 | FLUSH(narea+100) |
---|
2467 | END IF |
---|
2468 | #endif |
---|
2469 | zz_b = -1.0_wp * phml(ji,jj) + gdepw(ji,jj,mbkt(ji,jj)+1,Kmm) ! ag 19/03 |
---|
2470 | zbeta_v_sc(ji,jj) = 1.0_wp - 2.0_wp * ( zb_coup(ji,jj) * zz_b + zc_coup_vis(ji,jj) * zz_b**2 ) / & |
---|
2471 | & zvisml_sc(ji,jj) ! ag 19/03 |
---|
2472 | zbeta_d_sc(ji,jj) = 1.0_wp - ( ( zb_coup(ji,jj) * zz_b + zc_coup_vis(ji,jj) * zz_b**2 ) / & |
---|
2473 | & zdifml_sc(ji,jj) )**p2third |
---|
2474 | zc_coup_dif(ji,jj) = 0.5_wp * ( -zdifml_sc(ji,jj) / phml(ji,jj) * ( 1.0_wp - zbeta_d_sc(ji,jj) )**1.5_wp + & |
---|
2475 | & 1.5_wp * ( zdifml_sc(ji,jj) / phml(ji,jj) ) * zbeta_d_sc(ji,jj) * & |
---|
2476 | & SQRT( 1.0_wp - zbeta_d_sc(ji,jj) ) - zb_coup(ji,jj) ) / zz_b ! ag 19/03 |
---|
2477 | #ifdef key_osm_debug |
---|
2478 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2479 | WRITE(narea+100,'(2(a,g11.3))')' 2nd pz_b= ', zz_b, ' pc_coup_dif', zc_coup_dif(ji,jj) |
---|
2480 | FLUSH(narea+100) |
---|
2481 | END IF |
---|
2482 | #endif |
---|
2483 | ELSE ! ag 19/03 |
---|
2484 | zbeta_d_sc(ji,jj) = 1.0_wp - ( ( zdifpyc_n_sc(ji,jj) + 1.4_wp * zdifpyc_s_sc(ji,jj) ) / & |
---|
2485 | & ( zdifml_sc(ji,jj) + epsln ) )**p2third ! ag 19/03 |
---|
2486 | zbeta_v_sc(ji,jj) = 1.0_wp - 2.0_wp * ( zvispyc_n_sc(ji,jj) + zvispyc_s_sc(ji,jj) ) / & |
---|
2487 | & ( zvisml_sc(ji,jj) + epsln ) ! ag 19/03 |
---|
2488 | ENDIF ! ag 19/03 |
---|
2489 | ENDIF ! ag 19/03 |
---|
2490 | #ifdef key_osm_debug |
---|
2491 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2492 | WRITE(narea+100,'(2(a,g11.3))')'ldconv=T: zbeta_d_sc',zbeta_d_sc(ji,jj) ,' zbeta_v_sc=',zbeta_v_sc(ji,jj) |
---|
2493 | WRITE(narea+100,'(2(a,g11.3))')' Final zdifpyc_n_sc',zdifpyc_n_sc(ji,jj) ,' zvispyc_n_sc=',zvispyc_n_sc(ji,jj) |
---|
2494 | WRITE(narea+100,'(2(a,g11.3))')' Final zdifpyc_s_sc',zdifpyc_s_sc(ji,jj) ,' zvispyc_s_sc=',zvispyc_s_sc(ji,jj) |
---|
2495 | FLUSH(narea+100) |
---|
2496 | END IF |
---|
2497 | #endif |
---|
2498 | ELSE |
---|
2499 | zdifml_sc(ji,jj) = svstr(ji,jj) * phbl(ji,jj) * MAX( EXP ( -( shol(ji,jj) / 0.6_wp )**2 ), 0.2_wp) |
---|
2500 | zvisml_sc(ji,jj) = zdifml_sc(ji,jj) |
---|
2501 | #ifdef key_osm_debug |
---|
2502 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2503 | WRITE(narea+100,'(a,g11.3)')'End of 1st major loop of osm_diffusivity_viscositys, ldconv=F: zdifml_sc=',zdifml_sc(ji,jj),' zvisml_sc=',zvisml_sc(ji,jj) |
---|
2504 | FLUSH(narea+100) |
---|
2505 | END IF |
---|
2506 | #endif |
---|
2507 | END IF |
---|
2508 | END_2D |
---|
2509 | ! |
---|
2510 | DO_2D( 0, 0, 0, 0 ) |
---|
2511 | IF ( l_conv(ji,jj) ) THEN |
---|
2512 | DO jk = 2, nmld(ji,jj) ! Mixed layer diffusivity |
---|
2513 | zznd_ml = gdepw(ji,jj,jk,Kmm) / phml(ji,jj) |
---|
2514 | pdiffut(ji,jj,jk) = zdifml_sc(ji,jj) * zznd_ml * ( 1.0_wp - zbeta_d_sc(ji,jj) * zznd_ml )**1.5 |
---|
2515 | pviscos(ji,jj,jk) = zvisml_sc(ji,jj) * zznd_ml * ( 1.0_wp - zbeta_v_sc(ji,jj) * zznd_ml ) * & |
---|
2516 | & ( 1.0_wp - 0.5_wp * zznd_ml**2 ) |
---|
2517 | END DO |
---|
2518 | ! |
---|
2519 | ! Coupling to bottom |
---|
2520 | ! |
---|
2521 | IF ( l_coup(ji,jj) ) THEN ! ag 19/03 |
---|
2522 | DO jk = mbkt(ji,jj), nmld(ji,jj), -1 ! ag 19/03 |
---|
2523 | zz_b = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - gdepw(ji,jj,mbkt(ji,jj)+1,Kmm) ) ! ag 19/03 |
---|
2524 | pviscos(ji,jj,jk) = zb_coup(ji,jj) * zz_b + zc_coup_vis(ji,jj) * zz_b**2 ! ag 19/03 |
---|
2525 | pdiffut(ji,jj,jk) = zb_coup(ji,jj) * zz_b + zc_coup_dif(ji,jj) * zz_b**2 ! ag 19/03 |
---|
2526 | END DO ! ag 19/03 |
---|
2527 | ENDIF ! ag 19/03 |
---|
2528 | ! Pycnocline |
---|
2529 | IF ( l_pyc(ji,jj) ) THEN |
---|
2530 | ! Diffusivity and viscosity profiles in the pycnocline given by |
---|
2531 | ! cubic polynomial. Note, if l_pyc TRUE can't be coupled to seabed. |
---|
2532 | za_cubic = 0.5_wp |
---|
2533 | zb_d_cubic = -1.75_wp * zdifpyc_s_sc(ji,jj) / zdifpyc_n_sc(ji,jj) |
---|
2534 | zd_d_cubic = ( pdh(ji,jj) * zdifml_sc(ji,jj) / phml(ji,jj) * SQRT( 1.0_wp - zbeta_d_sc(ji,jj) ) * & |
---|
2535 | & ( 2.5_wp * zbeta_d_sc(ji,jj) - 1.0_wp ) - 0.85_wp * zdifpyc_s_sc(ji,jj) ) / & |
---|
2536 | & MAX( zdifpyc_n_sc(ji,jj), 1.0e-8_wp ) |
---|
2537 | zd_d_cubic = zd_d_cubic - zb_d_cubic - 2.0_wp * ( 1.0_wp - za_cubic - zb_d_cubic ) |
---|
2538 | zc_d_cubic = 1.0_wp - za_cubic - zb_d_cubic - zd_d_cubic |
---|
2539 | zb_v_cubic = -1.75_wp * zvispyc_s_sc(ji,jj) / zvispyc_n_sc(ji,jj) |
---|
2540 | zd_v_cubic = ( 0.5_wp * zvisml_sc(ji,jj) * pdh(ji,jj) / phml(ji,jj) - 0.85_wp * zvispyc_s_sc(ji,jj) ) / & |
---|
2541 | & MAX( zvispyc_n_sc(ji,jj), 1.0e-8_wp ) |
---|
2542 | zd_v_cubic = zd_v_cubic - zb_v_cubic - 2.0_wp * ( 1.0_wp - za_cubic - zb_v_cubic ) |
---|
2543 | zc_v_cubic = 1.0_wp - za_cubic - zb_v_cubic - zd_v_cubic |
---|
2544 | DO jk = nmld(ji,jj) , nbld(ji,jj) |
---|
2545 | zznd_pyc = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phbl(ji,jj) ) / MAX(pdh(ji,jj), 1.0e-6_wp ) |
---|
2546 | ztmp = ( 1.75_wp * zznd_pyc - 0.15_wp * zznd_pyc**2 - 0.2_wp * zznd_pyc**3 ) |
---|
2547 | ! |
---|
2548 | pdiffut(ji,jj,jk) = zdifpyc_n_sc(ji,jj) * & |
---|
2549 | & ( za_cubic + zb_d_cubic * zznd_pyc + zc_d_cubic * zznd_pyc**2 + zd_d_cubic * zznd_pyc**3 ) |
---|
2550 | ! |
---|
2551 | pdiffut(ji,jj,jk) = pdiffut(ji,jj,jk) + zdifpyc_s_sc(ji,jj) * ztmp |
---|
2552 | pviscos(ji,jj,jk) = zvispyc_n_sc(ji,jj) * & |
---|
2553 | & ( za_cubic + zb_v_cubic * zznd_pyc + zc_v_cubic * zznd_pyc**2 + zd_v_cubic * zznd_pyc**3 ) |
---|
2554 | pviscos(ji,jj,jk) = pviscos(ji,jj,jk) + zvispyc_s_sc(ji,jj) * ztmp |
---|
2555 | END DO |
---|
2556 | ! IF ( pdhdt(ji,jj) > 0._wp ) THEN |
---|
2557 | ! zdiffut(ji,jj,nbld(ji,jj)+1) = MAX( 0.5 * pdhdt(ji,jj) * e3w(ji,jj,nbld(ji,jj)+1,Kmm), 1.0e-6 ) |
---|
2558 | ! zviscos(ji,jj,nbld(ji,jj)+1) = MAX( 0.5 * pdhdt(ji,jj) * e3w(ji,jj,nbld(ji,jj)+1,Kmm), 1.0e-6 ) |
---|
2559 | ! ELSE |
---|
2560 | ! zdiffut(ji,jj,nbld(ji,jj)) = 0._wp |
---|
2561 | ! zviscos(ji,jj,nbld(ji,jj)) = 0._wp |
---|
2562 | ! ENDIF |
---|
2563 | ENDIF |
---|
2564 | ELSE |
---|
2565 | ! Stable conditions |
---|
2566 | DO jk = 2, nbld(ji,jj) |
---|
2567 | zznd_ml = gdepw(ji,jj,jk,Kmm) / phbl(ji,jj) |
---|
2568 | pdiffut(ji,jj,jk) = 0.75_wp * zdifml_sc(ji,jj) * zznd_ml * ( 1.0_wp - zznd_ml )**1.5_wp |
---|
2569 | pviscos(ji,jj,jk) = 0.375_wp * zvisml_sc(ji,jj) * zznd_ml * ( 1.0_wp - zznd_ml ) * ( 1.0_wp - zznd_ml**2 ) |
---|
2570 | END DO |
---|
2571 | ! |
---|
2572 | IF ( pdhdt(ji,jj) > 0.0_wp ) THEN |
---|
2573 | pdiffut(ji,jj,nbld(ji,jj)) = MAX( pdhdt(ji,jj), 1.0e-6_wp) * e3w(ji, jj, nbld(ji,jj), Kmm) |
---|
2574 | pviscos(ji,jj,nbld(ji,jj)) = pdiffut(ji,jj,nbld(ji,jj)) |
---|
2575 | ENDIF |
---|
2576 | ENDIF ! End if ( l_conv ) |
---|
2577 | ! |
---|
2578 | END_2D |
---|
2579 | IF( iom_use("pb_coup") ) CALL iom_put( "pb_coup", tmask(:,:,1) * zb_coup(:,:) ) ! BBL-coupling velocity scale |
---|
2580 | IF( ln_timing ) CALL timing_stop('zdf_osm_dv') |
---|
2581 | ! |
---|
2582 | END SUBROUTINE zdf_osm_diffusivity_viscosity |
---|
2583 | |
---|
2584 | SUBROUTINE zdf_osm_fgr_terms( Kmm, kp_ext, phbl, phml, pdh, & |
---|
2585 | & pdhdt, pshear, pdt_bl, pds_bl, pdb_bl, & |
---|
2586 | & pdu_bl, pdv_bl, pdt_ml, pds_ml, pdb_ml, & |
---|
2587 | & pdu_ml, pdv_ml, pdtdz_bl_ext, pdsdz_bl_ext, pdbdz_pyc, & |
---|
2588 | & palpha_pyc, pdiffut, pviscos ) |
---|
2589 | !!--------------------------------------------------------------------- |
---|
2590 | !! *** ROUTINE zdf_osm_fgr_terms *** |
---|
2591 | !! |
---|
2592 | !! ** Purpose : Compute non-gradient terms in flux-gradient relationship |
---|
2593 | !! |
---|
2594 | !! ** Method : |
---|
2595 | !! |
---|
2596 | !!---------------------------------------------------------------------- |
---|
2597 | INTEGER, INTENT(in ) :: Kmm ! Time-level index |
---|
2598 | INTEGER, DIMENSION(:,:), INTENT(in ) :: kp_ext ! Offset for external level |
---|
2599 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: phbl ! BL depth |
---|
2600 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: phml ! ML depth |
---|
2601 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdh ! Pycnocline depth |
---|
2602 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdhdt ! BL depth tendency |
---|
2603 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pshear ! Shear production |
---|
2604 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdt_bl ! Temperature diff. between BL average and basal value |
---|
2605 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pds_bl ! Salinity diff. between BL average and basal value |
---|
2606 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdb_bl ! Buoyancy diff. between BL average and basal value |
---|
2607 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdu_bl ! Velocity diff. (u) between BL average and basal value |
---|
2608 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdv_bl ! Velocity diff. (v) between BL average and basal value |
---|
2609 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdt_ml ! Temperature diff. between mixed-layer average and basal value |
---|
2610 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pds_ml ! Salinity diff. between mixed-layer average and basal value |
---|
2611 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdb_ml ! Buoyancy diff. between mixed-layer average and basal value |
---|
2612 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdu_ml ! Velocity diff. (u) between mixed-layer average and basal value |
---|
2613 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdv_ml ! Velocity diff. (v) between mixed-layer average and basal value |
---|
2614 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdtdz_bl_ext ! External temperature gradients |
---|
2615 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdsdz_bl_ext ! External salinity gradients |
---|
2616 | REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: pdbdz_pyc ! Pycnocline buoyancy gradients |
---|
2617 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: palpha_pyc ! |
---|
2618 | REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: pdiffut ! t-diffusivity |
---|
2619 | REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: pviscos ! Viscosity |
---|
2620 | ! |
---|
2621 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: z3ddz_pyc_1, z3ddz_pyc_2 ! Pycnocline gradient/shear profiles |
---|
2622 | ! |
---|
2623 | INTEGER :: ji, jj, jk, jkm_bld, jkf_mld, jkm_mld ! Loop indices |
---|
2624 | #ifdef key_osm_debug |
---|
2625 | INTEGER :: jl, jm |
---|
2626 | #endif |
---|
2627 | INTEGER :: istat ! Memory allocation status |
---|
2628 | REAL(wp) :: zznd_d, zznd_ml, zznd_pyc, znd ! Temporary non-dimensional depths |
---|
2629 | REAL(wp), DIMENSION(A2D(0)) :: zsc_wth_1,zsc_ws_1 ! Temporary scales |
---|
2630 | REAL(wp), DIMENSION(A2D(0)) :: zsc_uw_1, zsc_uw_2 ! Temporary scales |
---|
2631 | REAL(wp), DIMENSION(A2D(0)) :: zsc_vw_1, zsc_vw_2 ! Temporary scales |
---|
2632 | REAL(wp), DIMENSION(A2D(0)) :: ztau_sc_u ! Dissipation timescale at base of WML |
---|
2633 | REAL(wp) :: zbuoy_pyc_sc, zdelta_pyc ! |
---|
2634 | REAL(wp) :: zl_c,zl_l,zl_eps ! Used to calculate turbulence length scale |
---|
2635 | REAL(wp), DIMENSION(A2D(0)) :: za_cubic, zb_cubic ! Coefficients in cubic polynomial specifying |
---|
2636 | REAL(wp), DIMENSION(A2D(0)) :: zc_cubic, zd_cubic ! diffusivity in pycnocline |
---|
2637 | REAL(wp), DIMENSION(A2D(0)) :: zwt_pyc_sc_1, zws_pyc_sc_1 ! |
---|
2638 | REAL(wp), DIMENSION(A2D(0)) :: zzeta_pyc ! |
---|
2639 | REAL(wp) :: zomega, zvw_max ! |
---|
2640 | REAL(wp), DIMENSION(A2D(0)) :: zuw_bse,zvw_bse ! Momentum, heat, and salinity fluxes |
---|
2641 | REAL(wp), DIMENSION(A2D(0)) :: zwth_ent,zws_ent ! at the top of the pycnocline |
---|
2642 | REAL(wp), DIMENSION(A2D(0)) :: zsc_wth_pyc, zsc_ws_pyc ! Scales for pycnocline transport term |
---|
2643 | REAL(wp) :: ztmp ! |
---|
2644 | REAL(wp) :: ztgrad, zsgrad, zbgrad ! Variables used to calculate pycnocline gradients |
---|
2645 | REAL(wp) :: zugrad, zvgrad ! Variables for calculating pycnocline shear |
---|
2646 | REAL(wp) :: zdtdz_pyc ! Parametrized gradient of temperature in pycnocline |
---|
2647 | REAL(wp) :: zdsdz_pyc ! Parametrised gradient of salinity in pycnocline |
---|
2648 | REAL(wp) :: zdudz_pyc ! u-shear across the pycnocline |
---|
2649 | REAL(wp) :: zdvdz_pyc ! v-shear across the pycnocline |
---|
2650 | !!---------------------------------------------------------------------- |
---|
2651 | ! |
---|
2652 | IF( ln_timing ) CALL timing_start('zdf_osm_ft') |
---|
2653 | ! |
---|
2654 | ! Auxiliary indices |
---|
2655 | ! ----------------- |
---|
2656 | jkm_bld = 0 |
---|
2657 | jkf_mld = jpk |
---|
2658 | jkm_mld = 0 |
---|
2659 | DO_2D( 0, 0, 0, 0 ) |
---|
2660 | IF ( nbld(ji,jj) > jkm_bld ) jkm_bld = nbld(ji,jj) |
---|
2661 | IF ( nmld(ji,jj) < jkf_mld ) jkf_mld = nmld(ji,jj) |
---|
2662 | IF ( nmld(ji,jj) > jkm_mld ) jkm_mld = nmld(ji,jj) |
---|
2663 | END_2D |
---|
2664 | ! |
---|
2665 | ! Stokes term in scalar flux, flux-gradient relationship |
---|
2666 | ! ------------------------------------------------------ |
---|
2667 | WHERE ( l_conv(A2D(0)) ) |
---|
2668 | zsc_wth_1(:,:) = swstrl(A2D(0))**3 * swth0(A2D(0)) / ( svstr(A2D(0))**3 + 0.5_wp * swstrc(A2D(0))**3 + epsln ) |
---|
2669 | zsc_ws_1(:,:) = swstrl(A2D(0))**3 * sws0(A2D(0)) / ( svstr(A2D(0))**3 + 0.5_wp * swstrc(A2D(0))**3 + epsln ) |
---|
2670 | ELSEWHERE |
---|
2671 | zsc_wth_1(:,:) = 2.0_wp * swthav(A2D(0)) |
---|
2672 | zsc_ws_1(:,:) = 2.0_wp * swsav(A2D(0)) |
---|
2673 | ENDWHERE |
---|
2674 | DO_3D( 0, 0, 0, 0, 2, MAX( jkm_mld, jkm_bld ) ) |
---|
2675 | IF ( l_conv(ji,jj) ) THEN |
---|
2676 | IF ( jk <= nmld(ji,jj) ) THEN |
---|
2677 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
---|
2678 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 1.35_wp * EXP( -1.0_wp * zznd_d ) * & |
---|
2679 | & ( 1.0_wp - EXP( -2.0_wp * zznd_d ) ) * zsc_wth_1(ji,jj) |
---|
2680 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 1.35_wp * EXP( -1.0_wp * zznd_d ) * & |
---|
2681 | & ( 1.0_wp - EXP( -2.0_wp * zznd_d ) ) * zsc_ws_1(ji,jj) |
---|
2682 | END IF |
---|
2683 | ELSE ! Stable conditions |
---|
2684 | IF ( jk <= nbld(ji,jj) ) THEN |
---|
2685 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
---|
2686 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 2.15_wp * EXP( -0.85_wp * zznd_d ) * & |
---|
2687 | & ( 1.0_wp - EXP( -4.0_wp * zznd_d ) ) * zsc_wth_1(ji,jj) |
---|
2688 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 2.15_wp * EXP( -0.85_wp * zznd_d ) * & |
---|
2689 | & ( 1.0_wp - EXP( -4.0_wp * zznd_d ) ) * zsc_ws_1(ji,jj) |
---|
2690 | END IF |
---|
2691 | END IF ! Check on l_conv |
---|
2692 | END_3D |
---|
2693 | ! |
---|
2694 | IF ( ln_dia_osm ) THEN |
---|
2695 | IF ( iom_use("ghamu_00") ) CALL iom_put( "ghamu_00", wmask*ghamu ) |
---|
2696 | IF ( iom_use("ghamv_00") ) CALL iom_put( "ghamv_00", wmask*ghamv ) |
---|
2697 | END IF |
---|
2698 | ! |
---|
2699 | ! Stokes term in flux-gradient relationship (note in zsc_uw_n don't use |
---|
2700 | ! svstr since term needs to go to zero as swstrl goes to zero) |
---|
2701 | ! --------------------------------------------------------------------- |
---|
2702 | WHERE ( l_conv(A2D(0)) ) |
---|
2703 | zsc_uw_1(:,:) = ( swstrl(A2D(0))**3 + 0.5_wp * swstrc(A2D(0))**3 )**pthird * sustke(A2D(0)) / & |
---|
2704 | & MAX( ( 1.0_wp - 1.0_wp * 6.5_wp * sla(A2D(0))**( 8.0_wp / 3.0_wp ) ), 0.2_wp ) |
---|
2705 | zsc_uw_2(:,:) = ( swstrl(A2D(0))**3 + 0.5_wp * swstrc(A2D(0))**3 )**pthird * sustke(A2D(0)) / & |
---|
2706 | & MIN( sla(A2D(0))**( 8.0_wp / 3.0_wp ) + epsln, 0.12_wp ) |
---|
2707 | zsc_vw_1(:,:) = ff_t(A2D(0)) * phml(A2D(0)) * sustke(A2D(0))**3 * MIN( sla(A2D(0))**( 8.0_wp / 3.0_wp ), 0.12_wp ) / & |
---|
2708 | & ( ( svstr(A2D(0))**3 + 0.5_wp * swstrc(A2D(0))**3 )**( 2.0_wp / 3.0_wp ) + epsln ) |
---|
2709 | ELSEWHERE |
---|
2710 | zsc_uw_1(:,:) = sustar(A2D(0))**2 |
---|
2711 | zsc_vw_1(:,:) = ff_t(A2D(0)) * phbl(A2D(0)) * sustke(A2D(0))**3 * MIN( sla(A2D(0))**( 8.0_wp / 3.0_wp ), 0.12_wp ) / & |
---|
2712 | & ( svstr(A2D(0))**2 + epsln ) |
---|
2713 | ENDWHERE |
---|
2714 | DO_3D( 0, 0, 0, 0, 2, MAX( jkm_mld, jkm_bld ) ) |
---|
2715 | IF ( l_conv(ji,jj) ) THEN |
---|
2716 | IF ( jk <= nmld(ji,jj) ) THEN |
---|
2717 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
---|
2718 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + ( -0.05_wp * EXP( -0.4_wp * zznd_d ) * zsc_uw_1(ji,jj) + & |
---|
2719 | & 0.00125_wp * EXP( -1.0_wp * zznd_d ) * zsc_uw_2(ji,jj) ) * & |
---|
2720 | & ( 1.0_wp - EXP( -2.0_wp * zznd_d ) ) |
---|
2721 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) - 0.65_wp * 0.15_wp * EXP( -1.0_wp * zznd_d ) * & |
---|
2722 | & ( 1.0_wp - EXP( -2.0_wp * zznd_d ) ) * zsc_vw_1(ji,jj) |
---|
2723 | END IF |
---|
2724 | ELSE ! Stable conditions |
---|
2725 | IF ( jk <= nbld(ji,jj) ) THEN ! Corrected to nbld |
---|
2726 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
---|
2727 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) - 0.75_wp * 1.3_wp * EXP( -0.5_wp * zznd_d ) * & |
---|
2728 | & ( 1.0_wp - EXP( -4.0_wp * zznd_d ) ) * zsc_uw_1(ji,jj) |
---|
2729 | END IF |
---|
2730 | END IF |
---|
2731 | END_3D |
---|
2732 | #ifdef key_osm_debug |
---|
2733 | IF(narea==nn_narea_db) THEN |
---|
2734 | ji=iloc_db; jj=jloc_db |
---|
2735 | jl = nmld(ji,jj) - 1; jm = MIN( nbld(ji,jj) + 2, mbkt(ji,jj) ) |
---|
2736 | WRITE(narea+100,'(a,g11.3)')'Stokes contrib to ghamt/s: zsc_wth_1=',zsc_wth_1(ji,jj), ' zsc_ws_1=',zsc_ws_1(ji,jj) |
---|
2737 | WRITE(narea+100,'(a,*(g11.3))') ' ghamt[imld-1..ibld+2] =', ( ghamt(ji,jj,jk), jk=jl,jm ) |
---|
2738 | WRITE(narea+100,'(a,*(g11.3))') ' ghams[imld-1..ibld+2] =', ( ghams(ji,jj,jk), jk=jl,jm ) |
---|
2739 | IF( l_conv(ji,jj) ) THEN |
---|
2740 | WRITE(narea+100,'(3(a,g11.3))')'Stokes contrib to ghamu/v: zsc_uw_1=',zsc_uw_1(ji,jj), ' zsc_vw_1=',zsc_vw_1(ji,jj), & |
---|
2741 | &' zsc_uw_2=',zsc_uw_2(ji,jj) |
---|
2742 | ELSE |
---|
2743 | WRITE(narea+100,'(2(a,g11.3))')'Stokes contrib to ghamu/v: zsc_uw_1=',zsc_uw_1(ji,jj), ' zsc_vw_1=',zsc_vw_1(ji,jj) |
---|
2744 | END IF |
---|
2745 | WRITE(narea+100,'(a,*(g11.3))') ' ghamu[imld-1..ibld+2] =', ( ghamu(ji,jj,jk), jk=jl,jm ) |
---|
2746 | WRITE(narea+100,'(a,*(g11.3))') ' ghamv[imld-1..ibld+2] =', ( ghamv(ji,jj,jk), jk=jl,jm ) |
---|
2747 | WRITE(narea+100,*) |
---|
2748 | FLUSH(narea+100) |
---|
2749 | END IF |
---|
2750 | #endif |
---|
2751 | ! |
---|
2752 | ! Buoyancy term in flux-gradient relationship [note : includes ROI ratio |
---|
2753 | ! (X0.3) and pressure (X0.5)] |
---|
2754 | ! ---------------------------------------------------------------------- |
---|
2755 | WHERE ( l_conv(A2D(0)) ) |
---|
2756 | zsc_wth_1(:,:) = swbav(A2D(0)) * swth0(A2D(0)) * ( 1.0_wp + EXP( 0.2_wp * shol(A2D(0)) ) ) * phml(A2D(0)) / & |
---|
2757 | & ( svstr(A2D(0))**3 + 0.5_wp * swstrc(A2D(0))**3 + epsln ) |
---|
2758 | zsc_ws_1(:,:) = swbav(A2D(0)) * sws0(A2D(0)) * ( 1.0_wp + EXP( 0.2_wp * shol(A2D(0)) ) ) * phml(A2D(0)) / & |
---|
2759 | & ( svstr(A2D(0))**3 + 0.5_wp * swstrc(A2D(0))**3 + epsln ) |
---|
2760 | ELSEWHERE |
---|
2761 | zsc_wth_1(:,:) = 0.0_wp |
---|
2762 | zsc_ws_1(:,:) = 0.0_wp |
---|
2763 | ENDWHERE |
---|
2764 | DO_3D( 0, 0, 0, 0, 2, MAX( jkm_mld, jkm_bld ) ) |
---|
2765 | IF ( l_conv(ji,jj) ) THEN |
---|
2766 | IF ( jk <= nmld(ji,jj) ) THEN |
---|
2767 | zznd_ml = gdepw(ji,jj,jk,Kmm) / phml(ji,jj) |
---|
2768 | ! Calculate turbulent time scale |
---|
2769 | zl_c = 0.9_wp * ( 1.0_wp - EXP( -5.0_wp * ( zznd_ml + zznd_ml**3 / 3.0_wp ) ) ) * & |
---|
2770 | & ( 1.0_wp - EXP( -15.0_wp * ( 1.2_wp - zznd_ml ) ) ) |
---|
2771 | zl_l = 2.0_wp * ( 1.0_wp - EXP( -2.0_wp * ( zznd_ml + zznd_ml**3 / 3.0_wp ) ) ) * & |
---|
2772 | & ( 1.0_wp - EXP( -8.0_wp * ( 1.15_wp - zznd_ml ) ) ) * ( 1.0_wp + dstokes(ji,jj) / phml (ji,jj) ) |
---|
2773 | zl_eps = zl_l + ( zl_c - zl_l ) / ( 1.0_wp + EXP( -3.0_wp * LOG10( -1.0_wp * shol(ji,jj) ) ) )**( 3.0_wp / 2.0_wp ) |
---|
2774 | ! Non-gradient buoyancy terms |
---|
2775 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.3_wp * 0.4_wp * zsc_wth_1(ji,jj) * zl_eps / ( 0.15_wp + zznd_ml ) |
---|
2776 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.3_wp * 0.4_wp * zsc_ws_1(ji,jj) * zl_eps / ( 0.15_wp + zznd_ml ) |
---|
2777 | END IF |
---|
2778 | ELSE ! Stable conditions |
---|
2779 | IF ( jk <= nbld(ji,jj) ) THEN |
---|
2780 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + zsc_wth_1(ji,jj) |
---|
2781 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + zsc_ws_1(ji,jj) |
---|
2782 | END IF |
---|
2783 | END IF |
---|
2784 | END_3D |
---|
2785 | DO_2D( 0, 0, 0, 0 ) |
---|
2786 | IF ( l_conv(ji,jj) .AND. l_pyc(ji,jj) ) THEN |
---|
2787 | ztau_sc_u(ji,jj) = phml(ji,jj) / ( svstr(ji,jj)**3 + swstrc(ji,jj)**3 )**pthird * & |
---|
2788 | & ( 1.4_wp - 0.4_wp / ( 1.0_wp + EXP( -3.5_wp * LOG10( -1.0_wp * shol(ji,jj) ) ) )**1.5_wp ) |
---|
2789 | zwth_ent(ji,jj) = -0.003_wp * ( 0.15_wp * svstr(ji,jj)**3 + swstrc(ji,jj)**3 )**pthird * & |
---|
2790 | & ( 1.0_wp - pdh(ji,jj) / phbl(ji,jj) ) * pdt_ml(ji,jj) |
---|
2791 | zws_ent(ji,jj) = -0.003_wp * ( 0.15_wp * svstr(ji,jj)**3 + swstrc(ji,jj)**3 )**pthird * & |
---|
2792 | & ( 1.0_wp - pdh(ji,jj) / phbl(ji,jj) ) * pds_ml(ji,jj) |
---|
2793 | IF ( dh(ji,jj) < 0.2_wp * hbl(ji,jj) ) THEN |
---|
2794 | zbuoy_pyc_sc = 2.0_wp * MAX( pdb_ml(ji,jj), 0.0_wp ) / pdh(ji,jj) |
---|
2795 | zdelta_pyc = ( svstr(ji,jj)**3 + swstrc(ji,jj)**3 )**pthird / & |
---|
2796 | & SQRT( MAX( zbuoy_pyc_sc, ( svstr(ji,jj)**3 + swstrc(ji,jj)**3 )**p2third / pdh(ji,jj)**2 ) ) |
---|
2797 | zwt_pyc_sc_1(ji,jj) = 0.325_wp * ( palpha_pyc(ji,jj) * pdt_ml(ji,jj) / pdh(ji,jj) + pdtdz_bl_ext(ji,jj) ) * & |
---|
2798 | & zdelta_pyc**2 / pdh(ji,jj) |
---|
2799 | zws_pyc_sc_1(ji,jj) = 0.325_wp * ( palpha_pyc(ji,jj) * pds_ml(ji,jj) / pdh(ji,jj) + pdsdz_bl_ext(ji,jj) ) * & |
---|
2800 | & zdelta_pyc**2 / pdh(ji,jj) |
---|
2801 | zzeta_pyc(ji,jj) = 0.15_wp - 0.175_wp / ( 1.0_wp + EXP( -3.5_wp * LOG10( -1.0_wp * shol(ji,jj) ) ) ) |
---|
2802 | #ifdef key_osm_debug |
---|
2803 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2804 | WRITE(narea+100,'(2(a,g11.3))')'lpyc= lconv=T,dh<0.2*hbl: zbuoy_pyc_sc=',zbuoy_pyc_sc,' zdelta_pyc=',zdelta_pyc |
---|
2805 | WRITE(narea+100,'(3(a,g11.3))')'zwt_pyc_sc_1=',zwt_pyc_sc_1(ji,jj),' zws_pyc_sc_1=',zws_pyc_sc_1(ji,jj), & |
---|
2806 | & ' zzeta_pyc=',zzeta_pyc(ji,jj) |
---|
2807 | FLUSH(narea+100) |
---|
2808 | END IF |
---|
2809 | #endif |
---|
2810 | END IF |
---|
2811 | END IF |
---|
2812 | END_2D |
---|
2813 | DO_3D( 0, 0, 0, 0, 2, jkm_bld ) |
---|
2814 | IF ( l_conv(ji,jj) .AND. l_pyc(ji,jj) .AND. ( jk <= nbld(ji,jj) ) ) THEN |
---|
2815 | zznd_pyc = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phbl(ji,jj) ) / pdh(ji,jj) |
---|
2816 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) - & |
---|
2817 | & 0.045_wp * ( ( zwth_ent(ji,jj) * pdbdz_pyc(ji,jj,jk) ) * ztau_sc_u(ji,jj)**2 ) * & |
---|
2818 | & MAX( ( 1.75_wp * zznd_pyc -0.15_wp * zznd_pyc**2 - 0.2_wp * zznd_pyc**3 ), 0.0_wp ) |
---|
2819 | ghams(ji,jj,jk) = ghams(ji,jj,jk) - & |
---|
2820 | & 0.045_wp * ( ( zws_ent(ji,jj) * pdbdz_pyc(ji,jj,jk) ) * ztau_sc_u(ji,jj)**2 ) * & |
---|
2821 | & MAX( ( 1.75_wp * zznd_pyc -0.15_wp * zznd_pyc**2 - 0.2_wp * zznd_pyc**3 ), 0.0_wp ) |
---|
2822 | #ifdef key_osm_debug |
---|
2823 | END IF |
---|
2824 | END_3D |
---|
2825 | jl = nmld(ji,jj) - 1; jm = MIN( nbld(ji,jj) + 2, mbkt(ji,jj) ) |
---|
2826 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2827 | WRITE(narea+100,'(3(a,g11.3))')'lpyc= lconv=T: ztau_sc_u=',ztau_sc_u(ji,jj),' zwth_ent=',zwth_ent(ji,jj), & |
---|
2828 | & ' zws_ent=',zws_ent(ji,jj) |
---|
2829 | WRITE(narea+100,'(a,*(g11.3))') ' ghamt[imld-1..ibld+2] =', ( ghamt(ji,jj,jk), jk=jl,jm ) |
---|
2830 | WRITE(narea+100,'(a,*(g11.3))') ' ghams[imld-1..ibld+2] =', ( ghams(ji,jj,jk), jk=jl,jm ) |
---|
2831 | WRITE(narea+100,*) |
---|
2832 | FLUSH(narea+100) |
---|
2833 | END IF |
---|
2834 | DO_3D( 0, 0, 0, 0, 2, jkm_bld ) |
---|
2835 | IF ( l_conv(ji,jj) .AND. l_pyc(ji,jj) .AND. ( jk <= nbld(ji,jj) ) ) THEN |
---|
2836 | zznd_pyc = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phbl(ji,jj) ) / pdh(ji,jj) |
---|
2837 | #endif |
---|
2838 | IF ( dh(ji,jj) < 0.2_wp * hbl(ji,jj) .AND. nbld(ji,jj) - nmld(ji,jj) > 3 ) THEN |
---|
2839 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.05_wp * zwt_pyc_sc_1(ji,jj) * & |
---|
2840 | & EXP( -0.25_wp * ( zznd_pyc / zzeta_pyc(ji,jj) )**2 ) * & |
---|
2841 | & pdh(ji,jj) / ( svstr(ji,jj)**3 + swstrc(ji,jj)**3 )**pthird |
---|
2842 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.05_wp * zws_pyc_sc_1(ji,jj) * & |
---|
2843 | & EXP( -0.25_wp * ( zznd_pyc / zzeta_pyc(ji,jj) )**2 ) * & |
---|
2844 | & pdh(ji,jj) / ( svstr(ji,jj)**3 + swstrc(ji,jj)**3 )**pthird |
---|
2845 | END IF |
---|
2846 | END IF ! End of pycnocline |
---|
2847 | END_3D |
---|
2848 | ! |
---|
2849 | IF(ln_dia_osm) THEN |
---|
2850 | IF ( iom_use("zwth_ent") ) CALL iom_put( "zwth_ent", tmask(:,:,1)*zwth_ent ) ! Upward turb. temperature entrainment flux |
---|
2851 | IF ( iom_use("zws_ent") ) CALL iom_put( "zws_ent", tmask(:,:,1)*zws_ent ) ! Upward turb. salinity entrainment flux |
---|
2852 | END IF |
---|
2853 | ! |
---|
2854 | zsc_vw_1(:,:) = 0.0_wp |
---|
2855 | WHERE ( l_conv(A2D(0)) ) |
---|
2856 | zsc_uw_1(:,:) = -1.0_wp * swb0(A2D(0)) * sustar(A2D(0))**2 * phml(A2D(0)) / & |
---|
2857 | & ( svstr(A2D(0))**3 + 0.5_wp * swstrc(A2D(0))**3 + epsln ) |
---|
2858 | zsc_uw_2(:,:) = swb0(A2D(0)) * sustke(A2D(0)) * phml(A2D(0)) / & |
---|
2859 | & ( svstr(A2D(0))**3 + 0.5_wp * swstrc(A2D(0))**3 + epsln )**( 2.0_wp / 3.0_wp ) |
---|
2860 | ELSEWHERE |
---|
2861 | zsc_uw_1(:,:) = 0.0_wp |
---|
2862 | ENDWHERE |
---|
2863 | DO_3D( 0, 0, 0, 0, 2, MAX( jkm_mld, jkm_bld ) ) |
---|
2864 | IF ( l_conv(ji,jj) ) THEN |
---|
2865 | IF ( jk <= nmld(ji,jj) ) THEN |
---|
2866 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
---|
2867 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + 0.3_wp * 0.5_wp * & |
---|
2868 | & ( zsc_uw_1(ji,jj) + 0.125_wp * EXP( -0.5_wp * zznd_d ) * & |
---|
2869 | & ( 1.0_wp - EXP( -0.5_wp * zznd_d ) ) * zsc_uw_2(ji,jj) ) |
---|
2870 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zsc_vw_1(ji,jj) |
---|
2871 | END IF |
---|
2872 | ELSE ! Stable conditions |
---|
2873 | IF ( jk <= nbld(ji,jj) ) THEN |
---|
2874 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + zsc_uw_1(ji,jj) |
---|
2875 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zsc_vw_1(ji,jj) |
---|
2876 | END IF |
---|
2877 | ENDIF |
---|
2878 | END_3D |
---|
2879 | ! |
---|
2880 | DO_2D( 0, 0, 0, 0 ) |
---|
2881 | IF ( l_conv(ji,jj) .AND. l_pyc(ji,jj) ) THEN |
---|
2882 | IF ( n_ddh(ji,jj) == 0 ) THEN |
---|
2883 | ! Place holding code. Parametrization needs checking for these conditions. |
---|
2884 | zomega = ( 0.15_wp * swstrl(ji,jj)**3 + swstrc(ji,jj)**3 + 4.75_wp * ( pshear(ji,jj) * phbl(ji,jj) ) )**pthird |
---|
2885 | zuw_bse(ji,jj) = -0.0035_wp * zomega * ( 1.0_wp - pdh(ji,jj) / phbl(ji,jj) ) * pdu_ml(ji,jj) |
---|
2886 | zvw_bse(ji,jj) = -0.0075_wp * zomega * ( 1.0_wp - pdh(ji,jj) / phbl(ji,jj) ) * pdv_ml(ji,jj) |
---|
2887 | ELSE |
---|
2888 | zomega = ( 0.15_wp * swstrl(ji,jj)**3 + swstrc(ji,jj)**3 + 4.75_wp * ( pshear(ji,jj) * phbl(ji,jj) ) )**pthird |
---|
2889 | zuw_bse(ji,jj) = -0.0035_wp * zomega * ( 1.0_wp - pdh(ji,jj) / phbl(ji,jj) ) * pdu_ml(ji,jj) |
---|
2890 | zvw_bse(ji,jj) = -0.0075_wp * zomega * ( 1.0_wp - pdh(ji,jj) / phbl(ji,jj) ) * pdv_ml(ji,jj) |
---|
2891 | ENDIF |
---|
2892 | zb_cubic(ji,jj) = pdh(ji,jj) / phbl(ji,jj) * suw0(ji,jj) - ( 2.0 + pdh(ji,jj) / phml(ji,jj) ) * zuw_bse(ji,jj) |
---|
2893 | za_cubic(ji,jj) = zuw_bse(ji,jj) - zb_cubic(ji,jj) |
---|
2894 | zvw_max = 0.7_wp * ff_t(ji,jj) * ( sustke(ji,jj) * dstokes(ji,jj) + 0.7_wp * sustar(ji,jj) * phml(ji,jj) ) |
---|
2895 | zd_cubic(ji,jj) = zvw_max * pdh(ji,jj) / phml(ji,jj) - ( 2.0_wp + pdh(ji,jj) / phml(ji,jj) ) * zvw_bse(ji,jj) |
---|
2896 | zc_cubic(ji,jj) = zvw_bse(ji,jj) - zd_cubic(ji,jj) |
---|
2897 | END IF |
---|
2898 | END_2D |
---|
2899 | DO_3D( 0, 0, 0, 0, jkf_mld, jkm_bld ) ! Need ztau_sc_u to be available. Change to array. |
---|
2900 | IF ( l_conv(ji,jj) .AND. l_pyc(ji,jj) .AND. ( jk >= nmld(ji,jj) ) .AND. ( jk <= nbld(ji,jj) ) ) THEN |
---|
2901 | zznd_pyc = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phbl(ji,jj) ) / pdh(ji,jj) |
---|
2902 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) - 0.045_wp * ( ztau_sc_u(ji,jj)**2 ) * zuw_bse(ji,jj) * & |
---|
2903 | & ( za_cubic(ji,jj) * zznd_pyc**2 + zb_cubic(ji,jj) * zznd_pyc**3 ) * & |
---|
2904 | & ( 0.75_wp + 0.25_wp * zznd_pyc )**2 * pdbdz_pyc(ji,jj,jk) |
---|
2905 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) - 0.045_wp * ( ztau_sc_u(ji,jj)**2 ) * zvw_bse(ji,jj) * & |
---|
2906 | & ( zc_cubic(ji,jj) * zznd_pyc**2 + zd_cubic(ji,jj) * zznd_pyc**3 ) * & |
---|
2907 | & ( 0.75_wp + 0.25_wp * zznd_pyc )**2 * pdbdz_pyc(ji,jj,jk) |
---|
2908 | END IF ! l_conv .AND. l_pyc |
---|
2909 | END_3D |
---|
2910 | ! |
---|
2911 | #ifdef key_osm_debug |
---|
2912 | IF(narea==nn_narea_db) THEN |
---|
2913 | ji=iloc_db; jj=jloc_db |
---|
2914 | jl = nmld(ji,jj) - 1; jm = MIN( nbld(ji,jj) + 2, mbkt(ji,jj) ) |
---|
2915 | WRITE(narea+100,'(2(a,g11.3))')'Stokes + buoy + pyc contribs to ghamt/s: zsc_wth_1=',zsc_wth_1(ji,jj), ' zsc_ws_1=',zsc_ws_1(ji,jj) |
---|
2916 | WRITE(narea+100,'(a,*(g11.3))') ' ghamt[imld-1..ibld+2] =', ( ghamt(ji,jj,jk), jk=jl,jm ) |
---|
2917 | WRITE(narea+100,'(a,*(g11.3))') ' ghams[imld-1..ibld+2] =', ( ghams(ji,jj,jk), jk=jl,jm ) |
---|
2918 | IF( l_conv(ji,jj) ) THEN |
---|
2919 | WRITE(narea+100,'(3(a,g11.3))')'Stokes + buoy + pyc contribs to ghamu/v: zsc_uw_1=',zsc_uw_1(ji,jj), ' zsc_vw_1=',zsc_vw_1(ji,jj), & |
---|
2920 | &' zsc_uw_2=',zsc_uw_2(ji,jj) |
---|
2921 | ELSE |
---|
2922 | WRITE(narea+100,'(2(a,g11.3))')'Stokes + buoy + pyc contribs to ghamu/v: zsc_uw_1=',zsc_uw_1(ji,jj), ' zsc_vw_1=',zsc_vw_1(ji,jj) |
---|
2923 | END IF |
---|
2924 | WRITE(narea+100,'(a,*(g11.3))') ' ghamu[imld-1..ibld+2] =', ( ghamu(ji,jj,jk), jk=jl,jm ) |
---|
2925 | WRITE(narea+100,'(a,*(g11.3))') ' ghamv[imld-1..ibld+2] =', ( ghamv(ji,jj,jk), jk=jl,jm ) |
---|
2926 | WRITE(narea+100,*) |
---|
2927 | FLUSH(narea+100) |
---|
2928 | END IF |
---|
2929 | #endif |
---|
2930 | |
---|
2931 | IF(ln_dia_osm) THEN |
---|
2932 | IF ( iom_use("ghamu_0") ) CALL iom_put( "ghamu_0", wmask*ghamu ) |
---|
2933 | IF ( iom_use("zsc_uw_1_0") ) CALL iom_put( "zsc_uw_1_0", tmask(:,:,1)*zsc_uw_1 ) |
---|
2934 | END IF |
---|
2935 | ! |
---|
2936 | ! Transport term in flux-gradient relationship [note : includes ROI ratio |
---|
2937 | ! (X0.3) ] |
---|
2938 | ! ----------------------------------------------------------------------- |
---|
2939 | WHERE ( l_conv(A2D(0)) ) |
---|
2940 | zsc_wth_1(:,:) = swth0(A2D(0)) / ( 1.0_wp - 0.56_wp * EXP( shol(A2D(0)) ) ) |
---|
2941 | zsc_ws_1(:,:) = sws0(A2D(0)) / ( 1.0_wp - 0.56_wp * EXP( shol(A2D(0)) ) ) |
---|
2942 | WHERE ( l_pyc(A2D(0)) ) ! Pycnocline scales |
---|
2943 | zsc_wth_pyc(:,:) = -0.003_wp * swstrc(A2D(0)) * ( 1.0_wp - pdh(A2D(0)) / phbl(A2D(0)) ) * pdt_ml(A2D(0)) |
---|
2944 | zsc_ws_pyc(:,:) = -0.003_wp * swstrc(A2D(0)) * ( 1.0_wp - pdh(A2D(0)) / phbl(A2D(0)) ) * pds_ml(A2D(0)) |
---|
2945 | END WHERE |
---|
2946 | ELSEWHERE |
---|
2947 | zsc_wth_1(:,:) = 2.0 * swthav(A2D(0)) |
---|
2948 | zsc_ws_1(:,:) = sws0(A2D(0)) |
---|
2949 | END WHERE |
---|
2950 | DO_3D( 0, 0, 0, 0, 1, MAX( jkm_mld, jkm_bld ) ) |
---|
2951 | IF ( l_conv(ji,jj) ) THEN |
---|
2952 | IF ( ( jk > 1 ) .AND. ( jk <= nmld(ji,jj) ) ) THEN |
---|
2953 | zznd_ml = gdepw(ji,jj,jk,Kmm) / phml(ji,jj) |
---|
2954 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.3_wp * zsc_wth_1(ji,jj) * ( -2.0_wp + 2.75_wp * ( ( 1.0_wp + 0.6_wp * zznd_ml**4 ) - EXP( -6.0_wp * zznd_ml ) ) ) * & |
---|
2955 | & ( 1.0_wp - EXP( -15.0_wp * ( 1.0_wp - zznd_ml ) ) ) |
---|
2956 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.3_wp * zsc_ws_1(ji,jj) * ( -2.0_wp + 2.75_wp * ( ( 1.0_wp + 0.6_wp * zznd_ml**4 ) - EXP( -6.0_wp * zznd_ml ) ) ) * & |
---|
2957 | & ( 1.0_wp - EXP( -15.0_wp * ( 1.0_wp - zznd_ml ) ) ) |
---|
2958 | END IF |
---|
2959 | ! |
---|
2960 | ! may need to comment out lpyc block |
---|
2961 | IF ( l_pyc(ji,jj) .AND. ( jk >= nmld(ji,jj) ) .AND. ( jk <= nbld(ji,jj) ) ) THEN ! Pycnocline |
---|
2962 | zznd_pyc = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phbl(ji,jj) ) / pdh(ji,jj) |
---|
2963 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 4.0_wp * zsc_wth_pyc(ji,jj) * ( 0.48_wp - EXP( -1.5_wp * ( zznd_pyc - 0.3_wp )**2 ) ) |
---|
2964 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 4.0_wp * zsc_ws_pyc(ji,jj) * ( 0.48_wp - EXP( -1.5_wp * ( zznd_pyc - 0.3_wp )**2 ) ) |
---|
2965 | END IF |
---|
2966 | ELSE |
---|
2967 | IF( pdhdt(ji,jj) > 0. ) THEN |
---|
2968 | IF ( ( jk > 1 ) .AND. ( jk <= nbld(ji,jj) ) ) THEN |
---|
2969 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
---|
2970 | znd = gdepw(ji,jj,jk,Kmm) / phbl(ji,jj) |
---|
2971 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.3_wp * ( -4.06_wp * EXP( -2.0_wp * zznd_d ) * ( 1.0_wp - EXP( -4.0_wp * zznd_d ) ) + & |
---|
2972 | 7.5_wp * EXP ( -10.0_wp * ( 0.95_wp - znd )**2 ) * ( 1.0_wp - znd ) ) * zsc_wth_1(ji,jj) |
---|
2973 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.3_wp * ( -4.06_wp * EXP( -2.0_wp * zznd_d ) * ( 1.0_wp - EXP( -4.0_wp * zznd_d ) ) + & |
---|
2974 | 7.5_wp * EXP ( -10.0_wp * ( 0.95_wp - znd )**2 ) * ( 1.0_wp - znd ) ) * zsc_ws_1(ji,jj) |
---|
2975 | END IF |
---|
2976 | ENDIF |
---|
2977 | ENDIF |
---|
2978 | END_3D |
---|
2979 | ! |
---|
2980 | WHERE ( l_conv(A2D(0)) ) |
---|
2981 | zsc_uw_1(:,:) = sustar(A2D(0))**2 |
---|
2982 | zsc_vw_1(:,:) = ff_t(A2D(0)) * sustke(A2D(0)) * phml(A2D(0)) |
---|
2983 | ELSEWHERE |
---|
2984 | zsc_uw_1(:,:) = sustar(A2D(0))**2 |
---|
2985 | zsc_uw_2(:,:) = ( 2.25_wp - 3.0_wp * ( 1.0_wp - EXP( -1.25_wp * 2.0_wp ) ) ) * ( 1.0_wp - EXP( -4.0_wp * 2.0_wp ) ) * & |
---|
2986 | & zsc_uw_1(:,:) |
---|
2987 | zsc_vw_1(:,:) = ff_t(A2D(0)) * sustke(A2D(0)) * phbl(A2D(0)) |
---|
2988 | zsc_vw_2(:,:) = -0.11_wp * SIN( 3.14159_wp * ( 2.0_wp + 0.4_wp ) ) * EXP( -1.0_wp * ( 1.5_wp + 2.0_wp )**2 ) * & |
---|
2989 | & zsc_vw_1(:,:) |
---|
2990 | ENDWHERE |
---|
2991 | DO_3D( 0, 0, 0, 0, 2, MAX( jkm_mld, jkm_bld ) ) |
---|
2992 | IF ( l_conv(ji,jj) ) THEN |
---|
2993 | IF ( jk <= nmld(ji,jj) ) THEN |
---|
2994 | zznd_ml = gdepw(ji,jj,jk,Kmm) / phml(ji,jj) |
---|
2995 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
---|
2996 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + & |
---|
2997 | & 0.3_wp * ( -2.0_wp + 2.5_wp * ( 1.0_wp + 0.1_wp * zznd_ml**4 ) - EXP( -8.0_wp * zznd_ml ) ) * & |
---|
2998 | & zsc_uw_1(ji,jj) |
---|
2999 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + & |
---|
3000 | & 0.3_wp * 0.1_wp * ( EXP( -1.0_wp * zznd_d ) + EXP( -5.0_wp * ( 1.0_wp - zznd_ml ) ) ) * & |
---|
3001 | & zsc_vw_1(ji,jj) |
---|
3002 | END IF |
---|
3003 | ELSE |
---|
3004 | IF ( jk <= nbld(ji,jj) ) THEN |
---|
3005 | znd = gdepw(ji,jj,jk,Kmm) / phbl(ji,jj) |
---|
3006 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
---|
3007 | IF ( zznd_d <= 2.0 ) THEN |
---|
3008 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + 0.5_wp * 0.3_wp * & |
---|
3009 | & ( 2.25_wp - 3.0_wp * ( 1.0_wp - EXP( -1.25_wp * zznd_d ) ) * & |
---|
3010 | & ( 1.0_wp - EXP( -2.0_wp * zznd_d ) ) ) * zsc_uw_1(ji,jj) |
---|
3011 | ELSE |
---|
3012 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + 0.5_wp * 0.3_wp * & |
---|
3013 | & ( 1.0_wp - EXP( -5.0_wp * ( 1.0_wp - znd ) ) ) * zsc_uw_2(ji,jj) |
---|
3014 | ENDIF |
---|
3015 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + 0.3_wp * 0.15_wp * SIN( 3.14159_wp * ( 0.65_wp * zznd_d ) ) * & |
---|
3016 | & EXP( -0.25_wp * zznd_d**2 ) * zsc_vw_1(ji,jj) |
---|
3017 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + 0.3_wp * 0.15_wp * EXP( -5.0 * ( 1.0 - znd ) ) * ( 1.0 - EXP( -20.0 * ( 1.0 - znd ) ) ) * zsc_vw_2(ji,jj) |
---|
3018 | END IF |
---|
3019 | END IF |
---|
3020 | END_3D |
---|
3021 | #ifdef key_osm_debug |
---|
3022 | IF(narea==nn_narea_db) THEN |
---|
3023 | ji=iloc_db; jj=jloc_db |
---|
3024 | jl = nmld(ji,jj) - 1; jm = MIN( nbld(ji,jj) + 2, mbkt(ji,jj) ) |
---|
3025 | WRITE(narea+100,'(2(a,g11.3))')'Stokes + buoy + pyc + transport contribs to ghamt/s: zsc_wth_1=',zsc_wth_1(ji,jj), ' zsc_ws_1=',zsc_ws_1(ji,jj) |
---|
3026 | IF (l_pyc(ji,jj)) WRITE(narea+100,'(2(a,g11.3))') 'zsc_wth_pyc=', zsc_wth_pyc(ji,jj), ' zsc_wth_pyc=',zsc_wth_pyc(ji,jj) |
---|
3027 | WRITE(narea+100,'(a,*(g11.3))') ' ghamt[imld-1..ibld+2] =', ( ghamt(ji,jj,jk), jk=jl,jm ) |
---|
3028 | WRITE(narea+100,'(a,*(g11.3))') ' ghams[imld-1..ibld+2] =', ( ghams(ji,jj,jk), jk=jl,jm ) |
---|
3029 | IF( l_conv(ji,jj) ) THEN |
---|
3030 | WRITE(narea+100,'(2(a,g11.3))')'Unstable; transport contrib to ghamu/v: zsc_uw_1=',zsc_uw_1(ji,jj), ' zsc_vw_1=',zsc_vw_1(ji,jj) |
---|
3031 | ELSE |
---|
3032 | WRITE(narea+100,'(3(a,g11.3))')'Stable; transport contrib to ghamu/v: zsc_uw_1=',zsc_uw_1(ji,jj), ' zsc_vw_1=',zsc_vw_1(ji,jj), & |
---|
3033 | &' zsc_uw_2=',zsc_uw_2(ji,jj) |
---|
3034 | END IF |
---|
3035 | WRITE(narea+100,'(a,*(g11.3))') ' ghamu[imld-1..ibld+2] =', ( ghamu(ji,jj,jk), jk=jl,jm ) |
---|
3036 | WRITE(narea+100,*) |
---|
3037 | FLUSH(narea+100) |
---|
3038 | END IF |
---|
3039 | #endif |
---|
3040 | ! |
---|
3041 | IF(ln_dia_osm) THEN |
---|
3042 | IF ( iom_use("ghamu_f") ) CALL iom_put( "ghamu_f", wmask *ghamu ) |
---|
3043 | IF ( iom_use("ghamv_f") ) CALL iom_put( "ghamv_f", wmask *ghamv ) |
---|
3044 | IF ( iom_use("zsc_uw_1_f") ) CALL iom_put( "zsc_uw_1_f", tmask(:,:,1)*zsc_uw_1 ) |
---|
3045 | IF ( iom_use("zsc_vw_1_f") ) CALL iom_put( "zsc_vw_1_f", tmask(:,:,1)*zsc_vw_1 ) |
---|
3046 | IF ( iom_use("zsc_uw_2_f") ) CALL iom_put( "zsc_uw_2_f", tmask(:,:,1)*zsc_uw_2 ) |
---|
3047 | IF ( iom_use("zsc_vw_2_f") ) CALL iom_put( "zsc_vw_2_f", tmask(:,:,1)*zsc_vw_2 ) |
---|
3048 | END IF |
---|
3049 | ! |
---|
3050 | ! Make surface forced velocity non-gradient terms go to zero at the base |
---|
3051 | ! of the mixed layer. |
---|
3052 | ! |
---|
3053 | ! Make surface forced velocity non-gradient terms go to zero at the base |
---|
3054 | ! of the boundary layer. |
---|
3055 | DO_3D( 0, 0, 0, 0, 2, jkm_bld ) |
---|
3056 | IF ( ( .NOT. l_conv(ji,jj) ) .AND. ( jk <= nbld(ji,jj) ) ) THEN |
---|
3057 | znd = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phbl(ji,jj) ) / phbl(ji,jj) ! ALMG to think about |
---|
3058 | IF ( znd >= 0.0_wp ) THEN |
---|
3059 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) * ( 1.0_wp - EXP( -10.0_wp * znd**2 ) ) |
---|
3060 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) * ( 1.0_wp - EXP( -10.0_wp * znd**2 ) ) |
---|
3061 | ELSE |
---|
3062 | ghamu(ji,jj,jk) = 0.0_wp |
---|
3063 | ghamv(ji,jj,jk) = 0.0_wp |
---|
3064 | ENDIF |
---|
3065 | END IF |
---|
3066 | END_3D |
---|
3067 | ! |
---|
3068 | ! Pynocline contributions |
---|
3069 | ! |
---|
3070 | IF ( ln_dia_pyc_scl .OR. ln_dia_pyc_shr ) THEN ! Allocate arrays for output of pycnocline gradient/shear profiles |
---|
3071 | ALLOCATE( z3ddz_pyc_1(jpi,jpj,jpk), z3ddz_pyc_2(jpi,jpj,jpk), STAT=istat ) |
---|
3072 | IF ( istat /= 0 ) CALL ctl_stop( 'zdf_osm: failed to allocate temporary arrays' ) |
---|
3073 | z3ddz_pyc_1(:,:,:) = 0.0_wp |
---|
3074 | z3ddz_pyc_2(:,:,:) = 0.0_wp |
---|
3075 | END IF |
---|
3076 | DO_3D( 0, 0, 0, 0, 2, jkm_bld ) |
---|
3077 | IF ( l_conv (ji,jj) ) THEN |
---|
3078 | ! Unstable conditions. Shouldn;t be needed with no pycnocline code. |
---|
3079 | ! zugrad = 0.7 * zdu_ml(ji,jj) / zdh(ji,jj) + 0.3 * zustar(ji,jj)*zustar(ji,jj) / & |
---|
3080 | ! & ( ( ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird * zhml(ji,jj) ) * & |
---|
3081 | ! & MIN(zla(ji,jj)**(8.0/3.0) + epsln, 0.12 )) |
---|
3082 | !Alan is this right? |
---|
3083 | ! zvgrad = ( 0.7 * zdv_ml(ji,jj) + & |
---|
3084 | ! & 2.0 * ff_t(ji,jj) * zustke(ji,jj) * dstokes(ji,jj) / & |
---|
3085 | ! & ( ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird + epsln ) & |
---|
3086 | ! & )/ (zdh(ji,jj) + epsln ) |
---|
3087 | ! DO jk = 2, nbld(ji,jj) - 1 + ibld_ext |
---|
3088 | ! znd = -( gdepw(ji,jj,jk,Kmm) - zhbl(ji,jj) ) / (zdh(ji,jj) + epsln ) - zzeta_v |
---|
3089 | ! IF ( znd <= 0.0 ) THEN |
---|
3090 | ! zdudz(ji,jj,jk) = 1.25 * zugrad * EXP( 3.0 * znd ) |
---|
3091 | ! zdvdz(ji,jj,jk) = 1.25 * zvgrad * EXP( 3.0 * znd ) |
---|
3092 | ! ELSE |
---|
3093 | ! zdudz(ji,jj,jk) = 1.25 * zugrad * EXP( -2.0 * znd ) |
---|
3094 | ! zdvdz(ji,jj,jk) = 1.25 * zvgrad * EXP( -2.0 * znd ) |
---|
3095 | ! ENDIF |
---|
3096 | ! END DO |
---|
3097 | ELSE ! Stable conditions |
---|
3098 | IF ( nbld(ji,jj) + kp_ext(ji,jj) < mbkt(ji,jj) ) THEN |
---|
3099 | ! Pycnocline profile only defined when depth steady of increasing. |
---|
3100 | IF ( pdhdt(ji,jj) > 0.0_wp ) THEN ! Depth increasing, or steady. |
---|
3101 | IF ( pdb_bl(ji,jj) > 0.0_wp ) THEN |
---|
3102 | IF ( shol(ji,jj) >= 0.5_wp ) THEN ! Very stable - 'thick' pycnocline |
---|
3103 | ztmp = 1.0_wp / MAX( phbl(ji,jj), epsln ) |
---|
3104 | ztgrad = pdt_bl(ji,jj) * ztmp |
---|
3105 | zsgrad = pds_bl(ji,jj) * ztmp |
---|
3106 | zbgrad = pdb_bl(ji,jj) * ztmp |
---|
3107 | IF ( jk <= nbld(ji,jj) ) THEN |
---|
3108 | znd = gdepw(ji,jj,jk,Kmm) * ztmp |
---|
3109 | zdtdz_pyc = ztgrad * EXP( -15.0_wp * ( znd - 0.9_wp )**2 ) |
---|
3110 | zdsdz_pyc = zsgrad * EXP( -15.0_wp * ( znd - 0.9_wp )**2 ) |
---|
3111 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + pdiffut(ji,jj,jk) * zdtdz_pyc |
---|
3112 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + pdiffut(ji,jj,jk) * zdsdz_pyc |
---|
3113 | IF ( ln_dia_pyc_scl ) THEN |
---|
3114 | z3ddz_pyc_1(ji,jj,jk) = zdtdz_pyc |
---|
3115 | z3ddz_pyc_2(ji,jj,jk) = zdsdz_pyc |
---|
3116 | END IF |
---|
3117 | END IF |
---|
3118 | ELSE ! Slightly stable - 'thin' pycnoline - needed when stable layer begins to form. |
---|
3119 | ztmp = 1.0_wp / MAX( pdh(ji,jj), epsln ) |
---|
3120 | ztgrad = pdt_bl(ji,jj) * ztmp |
---|
3121 | zsgrad = pds_bl(ji,jj) * ztmp |
---|
3122 | zbgrad = pdb_bl(ji,jj) * ztmp |
---|
3123 | IF ( jk <= nbld(ji,jj) ) THEN |
---|
3124 | znd = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phml(ji,jj) ) * ztmp |
---|
3125 | zdtdz_pyc = ztgrad * EXP( -1.75_wp * ( znd + 0.75_wp )**2 ) |
---|
3126 | zdsdz_pyc = zsgrad * EXP( -1.75_wp * ( znd + 0.75_wp )**2 ) |
---|
3127 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + pdiffut(ji,jj,jk) * zdtdz_pyc |
---|
3128 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + pdiffut(ji,jj,jk) * zdsdz_pyc |
---|
3129 | IF ( ln_dia_pyc_scl ) THEN |
---|
3130 | z3ddz_pyc_1(ji,jj,jk) = zdtdz_pyc |
---|
3131 | z3ddz_pyc_2(ji,jj,jk) = zdsdz_pyc |
---|
3132 | END IF |
---|
3133 | END IF |
---|
3134 | ENDIF ! IF (shol >=0.5) |
---|
3135 | ENDIF ! IF (zdb_bl> 0.) |
---|
3136 | ENDIF ! IF (zdhdt >= 0) zdhdt < 0 not considered since pycnocline profile is zero and profile arrays are intialized to zero |
---|
3137 | END IF |
---|
3138 | END IF |
---|
3139 | END_3D |
---|
3140 | IF ( ln_dia_pyc_scl ) THEN ! Output of pycnocline gradient profiles |
---|
3141 | IF ( iom_use("zdtdz_pyc") ) CALL iom_put( "zdtdz_pyc", wmask(:,:,:) * z3ddz_pyc_1(:,:,:) ) |
---|
3142 | IF ( iom_use("zdsdz_pyc") ) CALL iom_put( "zdsdz_pyc", wmask(:,:,:) * z3ddz_pyc_2(:,:,:) ) |
---|
3143 | END IF |
---|
3144 | DO_3D( 0, 0, 0, 0, 2, jkm_bld ) |
---|
3145 | IF ( .NOT. l_conv (ji,jj) ) THEN |
---|
3146 | IF ( nbld(ji,jj) + kp_ext(ji,jj) < mbkt(ji,jj) ) THEN |
---|
3147 | zugrad = 3.25_wp * pdu_bl(ji,jj) / phbl(ji,jj) |
---|
3148 | zvgrad = 2.75_wp * pdv_bl(ji,jj) / phbl(ji,jj) |
---|
3149 | IF ( jk <= nbld(ji,jj) ) THEN |
---|
3150 | znd = gdepw(ji,jj,jk,Kmm) / phbl(ji,jj) |
---|
3151 | IF ( znd < 1.0 ) THEN |
---|
3152 | zdudz_pyc = zugrad * EXP( -40.0_wp * ( znd - 1.0_wp )**2 ) |
---|
3153 | ELSE |
---|
3154 | zdudz_pyc = zugrad * EXP( -20.0_wp * ( znd - 1.0_wp )**2 ) |
---|
3155 | ENDIF |
---|
3156 | zdvdz_pyc = zvgrad * EXP( -20.0_wp * ( znd - 0.85_wp )**2 ) |
---|
3157 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + pviscos(ji,jj,jk) * zdudz_pyc |
---|
3158 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + pviscos(ji,jj,jk) * zdvdz_pyc |
---|
3159 | IF ( ln_dia_pyc_shr ) THEN |
---|
3160 | z3ddz_pyc_1(ji,jj,jk) = zdudz_pyc |
---|
3161 | z3ddz_pyc_2(ji,jj,jk) = zdvdz_pyc |
---|
3162 | END IF |
---|
3163 | END IF |
---|
3164 | END IF |
---|
3165 | END IF |
---|
3166 | END_3D |
---|
3167 | IF ( ln_dia_pyc_shr ) THEN ! Output of pycnocline shear profiles |
---|
3168 | IF ( iom_use("dudz_pyc") ) CALL iom_put( "zdudz_pyc", wmask(:,:,:) * z3ddz_pyc_1(:,:,:) ) |
---|
3169 | IF ( iom_use("dvdz_pyc") ) CALL iom_put( "zdvdz_pyc", wmask(:,:,:) * z3ddz_pyc_2(:,:,:) ) |
---|
3170 | END IF |
---|
3171 | IF(ln_dia_osm) THEN |
---|
3172 | IF ( iom_use("ghamu_b") ) CALL iom_put( "ghamu_b", wmask*ghamu ) |
---|
3173 | IF ( iom_use("ghamv_b") ) CALL iom_put( "ghamv_b", wmask*ghamv ) |
---|
3174 | END IF |
---|
3175 | IF ( ln_dia_pyc_scl .OR. ln_dia_pyc_shr ) THEN ! Deallocate arrays used for output of pycnocline gradient/shear profiles |
---|
3176 | DEALLOCATE( z3ddz_pyc_1, z3ddz_pyc_2 ) |
---|
3177 | END IF |
---|
3178 | ! |
---|
3179 | DO_2D( 0, 0, 0, 0 ) |
---|
3180 | ghamt(ji,jj,nbld(ji,jj)) = 0.0_wp |
---|
3181 | ghams(ji,jj,nbld(ji,jj)) = 0.0_wp |
---|
3182 | ghamu(ji,jj,nbld(ji,jj)) = 0.0_wp |
---|
3183 | ghamv(ji,jj,nbld(ji,jj)) = 0.0_wp |
---|
3184 | END_2D |
---|
3185 | #ifdef key_osm_debug |
---|
3186 | IF(narea==nn_narea_db) THEN |
---|
3187 | ji=iloc_db; jj=jloc_db |
---|
3188 | jl = nmld(ji,jj) - 1; jm = MIN(nbld(ji,jj) + 2, mbkt(ji,jj) ) |
---|
3189 | WRITE(narea+100,'(a)')'Tweak gham[uv] to go to zero near surface, add pycnocline viscosity/diffusivity & set=0 at ibld' |
---|
3190 | WRITE(narea+100,'(a,*(g11.3))') ' ghamt[imld-1..ibld+2] =', ( ghamt(ji,jj,jk), jk=jl,jm ) |
---|
3191 | WRITE(narea+100,'(a,*(g11.3))') ' ghams[imld-1..ibld+2] =', ( ghams(ji,jj,jk), jk=jl,jm ) |
---|
3192 | WRITE(narea+100,'(a,*(g11.3))') ' ghamu[imld-1..ibld+2] =', ( ghamu(ji,jj,jk), jk=jl,jm ) |
---|
3193 | WRITE(narea+100,'(a,*(g11.3))') ' ghamv[imld-1..ibld+2] =', ( ghamv(ji,jj,jk), jk=jl,jm ) |
---|
3194 | WRITE(narea+100,*) |
---|
3195 | FLUSH(narea+100) |
---|
3196 | END IF |
---|
3197 | #endif |
---|
3198 | ! |
---|
3199 | IF(ln_dia_osm) THEN |
---|
3200 | IF ( iom_use("ghamu_1") ) CALL iom_put( "ghamu_1", wmask*ghamu ) |
---|
3201 | IF ( iom_use("ghamv_1") ) CALL iom_put( "ghamv_1", wmask*ghamv ) |
---|
3202 | IF ( iom_use("zviscos") ) CALL iom_put( "zviscos", wmask*pviscos ) |
---|
3203 | END IF |
---|
3204 | ! |
---|
3205 | IF( ln_timing ) CALL timing_stop('zdf_osm_ft') |
---|
3206 | ! |
---|
3207 | END SUBROUTINE zdf_osm_fgr_terms |
---|
3208 | |
---|
3209 | SUBROUTINE zdf_osm_zmld_horizontal_gradients( Kmm, pmld, pdtdx, pdtdy, pdsdx, & |
---|
3210 | & pdsdy, pdbdx_mle, pdbdy_mle, pdbds_mle ) |
---|
3211 | !!---------------------------------------------------------------------- |
---|
3212 | !! *** ROUTINE zdf_osm_zmld_horizontal_gradients *** |
---|
3213 | !! |
---|
3214 | !! ** Purpose : Calculates horizontal gradients of buoyancy for use with |
---|
3215 | !! Fox-Kemper parametrization |
---|
3216 | !! |
---|
3217 | !! ** Method : |
---|
3218 | !! |
---|
3219 | !! References: Fox-Kemper et al., JPO, 38, 1145-1165, 2008 |
---|
3220 | !! Fox-Kemper and Ferrari, JPO, 38, 1166-1179, 2008 |
---|
3221 | !! |
---|
3222 | !!---------------------------------------------------------------------- |
---|
3223 | INTEGER, INTENT(in ) :: Kmm ! Time-level index |
---|
3224 | REAL(wp), DIMENSION(:,:), INTENT( out) :: pmld ! == Estimated FK BLD used for MLE horizontal gradients == ! |
---|
3225 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: pdtdx ! Horizontal gradient for Fox-Kemper parametrization |
---|
3226 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: pdtdy ! Horizontal gradient for Fox-Kemper parametrization |
---|
3227 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: pdsdx ! Horizontal gradient for Fox-Kemper parametrization |
---|
3228 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: pdsdy ! Horizontal gradient for Fox-Kemper parametrization |
---|
3229 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: pdbdx_mle ! MLE horiz gradients at u points |
---|
3230 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: pdbdy_mle ! MLE horiz gradients at v points |
---|
3231 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: pdbds_mle ! Magnitude of horizontal buoyancy gradient |
---|
3232 | ! |
---|
3233 | ! Local variables |
---|
3234 | INTEGER :: ji, jj, jk ! Dummy loop indices |
---|
3235 | INTEGER :: ikt, ikmax ! Local integers |
---|
3236 | REAL(wp) :: zc |
---|
3237 | REAL(wp) :: zN2_c ! Local buoyancy difference from 10m value |
---|
3238 | REAL(wp), DIMENSION(A2D(1)) :: ztm |
---|
3239 | REAL(wp), DIMENSION(A2D(1)) :: zsm |
---|
3240 | REAL(wp), DIMENSION(A2D(1),jpts) :: ztsm_midu |
---|
3241 | REAL(wp), DIMENSION(A2D(1),jpts) :: ztsm_midv |
---|
3242 | REAL(wp), DIMENSION(A2D(1),jpts) :: zabu |
---|
3243 | REAL(wp), DIMENSION(A2D(1),jpts) :: zabv |
---|
3244 | REAL(wp), DIMENSION(A2D(1)) :: zmld_midu |
---|
3245 | REAL(wp), DIMENSION(A2D(1)) :: zmld_midv |
---|
3246 | ! |
---|
3247 | IF( ln_timing ) CALL timing_start('zdf_osm_zhg') |
---|
3248 | ! |
---|
3249 | ! == MLD used for MLE ==! |
---|
3250 | mld_prof(:,:) = nlb10 ! Initialization to the number of w ocean point |
---|
3251 | pmld(:,:) = 0.0_wp ! Here hmlp used as a dummy variable, integrating vertically N^2 |
---|
3252 | zN2_c = grav * rn_osm_mle_rho_c * r1_rho0 ! Convert density criteria into N^2 criteria |
---|
3253 | DO_3D( 1, 1, 1, 1, nlb10, jpkm1 ) |
---|
3254 | ikt = mbkt(ji,jj) |
---|
3255 | pmld(ji,jj) = pmld(ji,jj) + MAX( rn2b(ji,jj,jk), 0.0_wp ) * e3w(ji,jj,jk,Kmm) |
---|
3256 | IF( pmld(ji,jj) < zN2_c ) mld_prof(ji,jj) = MIN( jk , ikt ) + 1 ! Mixed layer level |
---|
3257 | END_3D |
---|
3258 | DO_2D( 1, 1, 1, 1 ) |
---|
3259 | mld_prof(ji,jj) = MAX( mld_prof(ji,jj), nbld(ji,jj) ) ! Ensure mld_prof .ge. nbld |
---|
3260 | pmld(ji,jj) = gdepw(ji,jj,mld_prof(ji,jj),Kmm) |
---|
3261 | END_2D |
---|
3262 | ! |
---|
3263 | ikmax = MIN( MAXVAL( mld_prof(:,:) ), jpkm1 ) ! Max level of the computation |
---|
3264 | ztm(:,:) = 0.0_wp |
---|
3265 | zsm(:,:) = 0.0_wp |
---|
3266 | DO_3D( 1, 1, 1, 1, 1, ikmax ) |
---|
3267 | zc = e3t(ji,jj,jk,Kmm) * REAL( MIN( MAX( 0, mld_prof(ji,jj) - jk ), 1 ), KIND=wp ) ! zc being 0 outside the ML t-points |
---|
3268 | ztm(ji,jj) = ztm(ji,jj) + zc * ts(ji,jj,jk,jp_tem,Kmm) |
---|
3269 | zsm(ji,jj) = zsm(ji,jj) + zc * ts(ji,jj,jk,jp_sal,Kmm) |
---|
3270 | END_3D |
---|
3271 | ! Average temperature and salinity |
---|
3272 | ztm(:,:) = ztm(:,:) / MAX( e3t(:,:,1,Kmm), pmld(:,:) ) |
---|
3273 | zsm(:,:) = zsm(:,:) / MAX( e3t(:,:,1,Kmm), pmld(:,:) ) |
---|
3274 | ! Calculate horizontal gradients at u & v points |
---|
3275 | zmld_midu(:,:) = 0.0_wp |
---|
3276 | ztsm_midu(:,:,:) = 10.0_wp |
---|
3277 | DO_2D( 0, 0, 1, 0 ) |
---|
3278 | pdtdx(ji,jj) = ( ztm(ji+1,jj) - ztm(ji,jj) ) * umask(ji,jj,1) / e1u(ji,jj) |
---|
3279 | pdsdx(ji,jj) = ( zsm(ji+1,jj) - zsm(ji,jj) ) * umask(ji,jj,1) / e1u(ji,jj) |
---|
3280 | zmld_midu(ji,jj) = 0.25_wp * ( pmld(ji+1,jj) + pmld(ji,jj)) |
---|
3281 | ztsm_midu(ji,jj,jp_tem) = 0.5_wp * ( ztm( ji+1,jj) + ztm( ji,jj) ) |
---|
3282 | ztsm_midu(ji,jj,jp_sal) = 0.5_wp * ( zsm( ji+1,jj) + zsm( ji,jj) ) |
---|
3283 | END_2D |
---|
3284 | zmld_midv(:,:) = 0.0_wp |
---|
3285 | ztsm_midv(:,:,:) = 10.0_wp |
---|
3286 | DO_2D( 1, 0, 0, 0 ) |
---|
3287 | pdtdy(ji,jj) = ( ztm(ji,jj+1) - ztm(ji,jj) ) * vmask(ji,jj,1) / e1v(ji,jj) |
---|
3288 | pdsdy(ji,jj) = ( zsm(ji,jj+1) - zsm(ji,jj) ) * vmask(ji,jj,1) / e1v(ji,jj) |
---|
3289 | zmld_midv(ji,jj) = 0.25_wp * ( pmld(ji,jj+1) + pmld( ji,jj) ) |
---|
3290 | ztsm_midv(ji,jj,jp_tem) = 0.5_wp * ( ztm( ji,jj+1) + ztm( ji,jj) ) |
---|
3291 | ztsm_midv(ji,jj,jp_sal) = 0.5_wp * ( zsm( ji,jj+1) + zsm( ji,jj) ) |
---|
3292 | END_2D |
---|
3293 | CALL eos_rab( ztsm_midu, zmld_midu, zabu, Kmm ) |
---|
3294 | CALL eos_rab( ztsm_midv, zmld_midv, zabv, Kmm ) |
---|
3295 | DO_2D( 0, 0, 1, 0 ) |
---|
3296 | pdbdx_mle(ji,jj) = grav * ( pdtdx(ji,jj) * zabu(ji,jj,jp_tem) - pdsdx(ji,jj) * zabu(ji,jj,jp_sal) ) |
---|
3297 | END_2D |
---|
3298 | DO_2D( 1, 0, 0, 0 ) |
---|
3299 | pdbdy_mle(ji,jj) = grav * ( pdtdy(ji,jj) * zabv(ji,jj,jp_tem) - pdsdy(ji,jj) * zabv(ji,jj,jp_sal) ) |
---|
3300 | END_2D |
---|
3301 | DO_2D( 0, 0, 0, 0 ) |
---|
3302 | pdbds_mle(ji,jj) = SQRT( 0.5_wp * ( pdbdx_mle(ji, jj) * pdbdx_mle(ji, jj) + pdbdy_mle(ji,jj ) * pdbdy_mle(ji,jj ) + & |
---|
3303 | & pdbdx_mle(ji-1,jj) * pdbdx_mle(ji-1,jj) + pdbdy_mle(ji,jj-1) * pdbdy_mle(ji,jj-1) ) ) |
---|
3304 | END_2D |
---|
3305 | ! |
---|
3306 | IF( ln_timing ) CALL timing_stop('zdf_osm_zhg') |
---|
3307 | ! |
---|
3308 | END SUBROUTINE zdf_osm_zmld_horizontal_gradients |
---|
3309 | |
---|
3310 | SUBROUTINE zdf_osm_osbl_state_fk( Kmm, pwb_fk, phbl, phmle, pwb_ent, & |
---|
3311 | & pdb_bl, pdbds_mle ) |
---|
3312 | !!--------------------------------------------------------------------- |
---|
3313 | !! *** ROUTINE zdf_osm_osbl_state_fk *** |
---|
3314 | !! |
---|
3315 | !! ** Purpose : Determines the state of the OSBL and MLE layer. Info is |
---|
3316 | !! returned in the logicals l_pyc, l_flux and ldmle. Used |
---|
3317 | !! with Fox-Kemper scheme. |
---|
3318 | !! l_pyc :: determines whether pycnocline flux-grad |
---|
3319 | !! relationship needs to be determined |
---|
3320 | !! l_flux :: determines whether effects of surface flux |
---|
3321 | !! extend below the base of the OSBL |
---|
3322 | !! ldmle :: determines whether the layer with MLE is |
---|
3323 | !! increasing with time or if base is relaxing |
---|
3324 | !! towards hbl |
---|
3325 | !! |
---|
3326 | !! ** Method : |
---|
3327 | !! |
---|
3328 | !!---------------------------------------------------------------------- |
---|
3329 | ! Outputs |
---|
3330 | INTEGER, INTENT(in ) :: Kmm ! Time-level index |
---|
3331 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: pwb_fk |
---|
3332 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: phbl ! BL depth |
---|
3333 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: phmle ! MLE depth |
---|
3334 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pwb_ent ! Buoyancy entrainment flux |
---|
3335 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdb_bl ! Difference between blayer average and parameter at base of blayer |
---|
3336 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdbds_mle ! Magnitude of horizontal buoyancy gradient |
---|
3337 | ! |
---|
3338 | ! Local variables |
---|
3339 | INTEGER :: ji, jj, jk ! Dummy loop indices |
---|
3340 | REAL(wp), DIMENSION(A2D(0)) :: znd_param |
---|
3341 | REAL(wp) :: zthermal, zbeta |
---|
3342 | REAL(wp) :: zbuoy |
---|
3343 | REAL(wp) :: ztmp |
---|
3344 | REAL(wp) :: zpe_mle_layer |
---|
3345 | REAL(wp) :: zpe_mle_ref |
---|
3346 | REAL(wp) :: zdbdz_mle_int |
---|
3347 | ! |
---|
3348 | IF( ln_timing ) CALL timing_start('zdf_osm_osf') |
---|
3349 | ! |
---|
3350 | znd_param(A2D(0)) = 0.0_wp |
---|
3351 | ! |
---|
3352 | DO_2D( 0, 0, 0, 0 ) |
---|
3353 | ztmp = r1_ft(ji,jj) * MIN( 111.e3_wp , e1u(ji,jj) ) / rn_osm_mle_lf |
---|
3354 | pwb_fk(ji,jj) = rn_osm_mle_ce * hmle(ji,jj) * hmle(ji,jj) * ztmp * pdbds_mle(ji,jj) * pdbds_mle(ji,jj) |
---|
3355 | END_2D |
---|
3356 | ! |
---|
3357 | DO_2D( 0, 0, 0, 0 ) |
---|
3358 | ! |
---|
3359 | IF ( l_conv(ji,jj) ) THEN |
---|
3360 | IF ( phmle(ji,jj) > 1.2_wp * phbl(ji,jj) ) THEN |
---|
3361 | av_t_mle(ji,jj) = ( av_t_mle(ji,jj) * phmle(ji,jj) - av_t_bl(ji,jj) * phbl(ji,jj) ) / ( phmle(ji,jj) - phbl(ji,jj) ) |
---|
3362 | av_s_mle(ji,jj) = ( av_s_mle(ji,jj) * phmle(ji,jj) - av_s_bl(ji,jj) * phbl(ji,jj) ) / ( phmle(ji,jj) - phbl(ji,jj) ) |
---|
3363 | av_b_mle(ji,jj) = ( av_b_mle(ji,jj) * phmle(ji,jj) - av_b_bl(ji,jj) * phbl(ji,jj) ) / ( phmle(ji,jj) - phbl(ji,jj) ) |
---|
3364 | zdbdz_mle_int = ( av_b_bl(ji,jj) - ( 2.0_wp * av_b_mle(ji,jj) - av_b_bl(ji,jj) ) ) / ( phmle(ji,jj) - phbl(ji,jj) ) |
---|
3365 | ! Calculate potential energies of actual profile and reference profile |
---|
3366 | zpe_mle_layer = 0.0_wp |
---|
3367 | zpe_mle_ref = 0.0_wp |
---|
3368 | zthermal = rab_n(ji,jj,1,jp_tem) |
---|
3369 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
3370 | DO jk = nbld(ji,jj), mld_prof(ji,jj) |
---|
3371 | zbuoy = grav * ( zthermal * ts(ji,jj,jk,jp_tem,Kmm) - zbeta * ts(ji,jj,jk,jp_sal,Kmm) ) |
---|
3372 | zpe_mle_layer = zpe_mle_layer + zbuoy * gdepw(ji,jj,jk,Kmm) * e3w(ji,jj,jk,Kmm) |
---|
3373 | zpe_mle_ref = zpe_mle_ref + ( av_b_bl(ji,jj) - zdbdz_mle_int * ( gdepw(ji,jj,jk,Kmm) - phbl(ji,jj) ) ) * & |
---|
3374 | & gdepw(ji,jj,jk,Kmm) * e3w(ji,jj,jk,Kmm) |
---|
3375 | END DO |
---|
3376 | ! Non-dimensional parameter to diagnose the presence of thermocline |
---|
3377 | znd_param(ji,jj) = ( zpe_mle_layer - zpe_mle_ref ) * ABS( ff_t(ji,jj) ) / & |
---|
3378 | & ( MAX( pwb_fk(ji,jj), 1e-10 ) * phmle(ji,jj) ) |
---|
3379 | END IF |
---|
3380 | END IF |
---|
3381 | #ifdef key_osm_debug |
---|
3382 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
3383 | WRITE(narea+100,'(4(a,g11.3))')'start of zdf_osm_osbl_state_fk: zwb_fk=',pwb_fk(ji,jj), & |
---|
3384 | & ' znd_param=',znd_param(ji,jj), ' zpe_mle_ref=', zpe_mle_ref, ' zpe_mle_layer=', zpe_mle_layer |
---|
3385 | FLUSH(narea+100) |
---|
3386 | END IF |
---|
3387 | #endif |
---|
3388 | ! |
---|
3389 | END_2D |
---|
3390 | ! |
---|
3391 | ! Diagnosis |
---|
3392 | DO_2D( 0, 0, 0, 0 ) |
---|
3393 | ! |
---|
3394 | IF ( l_conv(ji,jj) ) THEN |
---|
3395 | IF ( -2.0_wp * pwb_fk(ji,jj) / pwb_ent(ji,jj) > 0.5_wp ) THEN |
---|
3396 | IF ( phmle(ji,jj) > 1.2_wp * phbl(ji,jj) ) THEN ! MLE layer growing |
---|
3397 | IF ( znd_param (ji,jj) > 100.0_wp ) THEN ! Thermocline present |
---|
3398 | l_flux(ji,jj) = .FALSE. |
---|
3399 | l_mle(ji,jj) = .FALSE. |
---|
3400 | ELSE ! Thermocline not present |
---|
3401 | l_flux(ji,jj) = .TRUE. |
---|
3402 | l_mle(ji,jj) = .TRUE. |
---|
3403 | ENDIF ! znd_param > 100 |
---|
3404 | ! |
---|
3405 | IF ( pdb_bl(ji,jj) < rn_osm_bl_thresh ) THEN |
---|
3406 | l_pyc(ji,jj) = .FALSE. |
---|
3407 | ELSE |
---|
3408 | l_pyc(ji,jj) = .TRUE. |
---|
3409 | ENDIF |
---|
3410 | ELSE ! MLE layer restricted to OSBL or just below |
---|
3411 | IF ( pdb_bl(ji,jj) < rn_osm_bl_thresh ) THEN ! Weak stratification MLE layer can grow |
---|
3412 | l_pyc(ji,jj) = .FALSE. |
---|
3413 | l_flux(ji,jj) = .TRUE. |
---|
3414 | l_mle(ji,jj) = .TRUE. |
---|
3415 | ELSE ! Strong stratification |
---|
3416 | l_pyc(ji,jj) = .TRUE. |
---|
3417 | l_flux(ji,jj) = .FALSE. |
---|
3418 | l_mle(ji,jj) = .FALSE. |
---|
3419 | END IF ! pdb_bl < rn_mle_thresh_bl and |
---|
3420 | END IF ! phmle > 1.2 phbl |
---|
3421 | ELSE |
---|
3422 | l_pyc(ji,jj) = .TRUE. |
---|
3423 | l_flux(ji,jj) = .FALSE. |
---|
3424 | l_mle(ji,jj) = .FALSE. |
---|
3425 | IF ( pdb_bl(ji,jj) < rn_osm_bl_thresh ) l_pyc(ji,jj) = .FALSE. |
---|
3426 | END IF ! -2.0 * pwb_fk(ji,jj) / pwb_ent > 0.5 |
---|
3427 | ELSE ! Stable Boundary Layer |
---|
3428 | l_pyc(ji,jj) = .FALSE. |
---|
3429 | l_flux(ji,jj) = .FALSE. |
---|
3430 | l_mle(ji,jj) = .FALSE. |
---|
3431 | END IF ! l_conv |
---|
3432 | #ifdef key_osm_debug |
---|
3433 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
3434 | WRITE(narea+100,'(3(a,g11.3),/,4(a,l2))')'end of zdf_osm_osbl_state_fk:zwb_ent=',pwb_ent(ji,jj), & |
---|
3435 | & ' zhmle=',phmle(ji,jj), ' zhbl=', phbl(ji,jj), & |
---|
3436 | & ' lpyc= ', l_pyc(ji,jj), ' lflux= ', l_flux(ji,jj), ' lmle= ', l_mle(ji,jj), ' lconv= ', l_conv(ji,jj) |
---|
3437 | FLUSH(narea+100) |
---|
3438 | END IF |
---|
3439 | #endif |
---|
3440 | ! |
---|
3441 | END_2D |
---|
3442 | ! |
---|
3443 | IF( ln_timing ) CALL timing_stop('zdf_osm_osf') |
---|
3444 | ! |
---|
3445 | END SUBROUTINE zdf_osm_osbl_state_fk |
---|
3446 | |
---|
3447 | SUBROUTINE zdf_osm_mle_parameters( Kmm, kmld_prof, pmld, phmle, pvel_mle, & |
---|
3448 | & pdiff_mle, pdbds_mle, phbl, pwb0tot ) |
---|
3449 | !!---------------------------------------------------------------------- |
---|
3450 | !! *** ROUTINE zdf_osm_mle_parameters *** |
---|
3451 | !! |
---|
3452 | !! ** Purpose : Timesteps the mixed layer eddy depth, hmle and calculates |
---|
3453 | !! the mixed layer eddy fluxes for buoyancy, heat and |
---|
3454 | !! salinity. |
---|
3455 | !! |
---|
3456 | !! ** Method : |
---|
3457 | !! |
---|
3458 | !! References: Fox-Kemper et al., JPO, 38, 1145-1165, 2008 |
---|
3459 | !! Fox-Kemper and Ferrari, JPO, 38, 1166-1179, 2008 |
---|
3460 | !! |
---|
3461 | !!---------------------------------------------------------------------- |
---|
3462 | INTEGER, INTENT(in ) :: Kmm ! Time-level index |
---|
3463 | INTEGER, DIMENSION(:,:), INTENT(inout) :: kmld_prof |
---|
3464 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pmld ! == Estimated FK BLD used for MLE horiz gradients == ! |
---|
3465 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: phmle ! MLE depth |
---|
3466 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: pvel_mle ! Velocity scale for dhdt with stable ML and FK |
---|
3467 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: pdiff_mle ! Extra MLE vertical diff |
---|
3468 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdbds_mle ! Magnitude of horizontal buoyancy gradient |
---|
3469 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: phbl ! BL depth |
---|
3470 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pwb0tot ! Total surface buoyancy flux including insolation |
---|
3471 | ! |
---|
3472 | ! Local variables |
---|
3473 | INTEGER :: ji, jj, jk ! Dummy loop indices |
---|
3474 | REAL(wp) :: ztmp |
---|
3475 | REAL(wp) :: zdbdz |
---|
3476 | REAL(wp) :: zdtdz |
---|
3477 | REAL(wp) :: zdsdz |
---|
3478 | REAL(wp) :: zthermal |
---|
3479 | REAL(wp) :: zbeta |
---|
3480 | REAL(wp) :: zbuoy |
---|
3481 | REAL(wp) :: zdb_mle |
---|
3482 | ! |
---|
3483 | IF( ln_timing ) CALL timing_start('zdf_osm_mp') |
---|
3484 | ! |
---|
3485 | ! Calculate vertical buoyancy, heat and salinity fluxes due to MLE |
---|
3486 | DO_2D( 0, 0, 0, 0 ) |
---|
3487 | IF ( l_conv(ji,jj) ) THEN |
---|
3488 | ztmp = r1_ft(ji,jj) * MIN( 111e3_wp, e1u(ji,jj) ) / rn_osm_mle_lf |
---|
3489 | ! This velocity scale, defined in Fox-Kemper et al (2008), is needed for calculating dhdt |
---|
3490 | pvel_mle(ji,jj) = pdbds_mle(ji,jj) * ztmp * hmle(ji,jj) * tmask(ji,jj,1) |
---|
3491 | pdiff_mle(ji,jj) = 5e-4_wp * rn_osm_mle_ce * ztmp * pdbds_mle(ji,jj) * phmle(ji,jj)**2 |
---|
3492 | END IF |
---|
3493 | END_2D |
---|
3494 | ! Timestep mixed layer eddy depth |
---|
3495 | DO_2D( 0, 0, 0, 0 ) |
---|
3496 | IF ( l_mle(ji,jj) ) THEN ! MLE layer growing |
---|
3497 | ! Buoyancy gradient at base of MLE layer |
---|
3498 | zthermal = rab_n(ji,jj,1,jp_tem) |
---|
3499 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
3500 | zbuoy = grav * ( zthermal * ts(ji,jj,kmld_prof(ji,jj)+2,jp_tem,Kmm) - & |
---|
3501 | & zbeta * ts(ji,jj,kmld_prof(ji,jj)+2,jp_sal,Kmm) ) |
---|
3502 | zdb_mle = av_b_bl(ji,jj) - zbuoy |
---|
3503 | ! Timestep hmle |
---|
3504 | hmle(ji,jj) = hmle(ji,jj) + pwb0tot(ji,jj) * rn_Dt / zdb_mle |
---|
3505 | ELSE |
---|
3506 | IF ( phmle(ji,jj) > phbl(ji,jj) ) THEN |
---|
3507 | hmle(ji,jj) = hmle(ji,jj) - ( hmle(ji,jj) - hbl(ji,jj) ) * rn_Dt / rn_osm_mle_tau |
---|
3508 | ELSE |
---|
3509 | hmle(ji,jj) = hmle(ji,jj) - 10.0_wp * ( hmle(ji,jj) - hbl(ji,jj) ) * rn_Dt / rn_osm_mle_tau |
---|
3510 | END IF |
---|
3511 | END IF |
---|
3512 | hmle(ji,jj) = MAX( MIN( hmle(ji,jj), ht(ji,jj) ), gdepw(ji,jj,4,Kmm) ) |
---|
3513 | IF ( ln_osm_hmle_limit ) hmle(ji,jj) = MIN( hmle(ji,jj), rn_osm_hmle_limit*hbl(ji,jj) ) |
---|
3514 | hmle(ji,jj) = pmld(ji,jj) ! For now try just set hmle to pmld |
---|
3515 | END_2D |
---|
3516 | ! |
---|
3517 | kmld_prof(:,:) = 4 |
---|
3518 | DO_3D( 0, 0, 0, 0, 5, jpkm1 ) |
---|
3519 | IF ( hmle(ji,jj) >= gdepw(ji,jj,jk,Kmm) ) kmld_prof(ji,jj) = MIN( mbkt(ji,jj), jk ) |
---|
3520 | END_3D |
---|
3521 | DO_2D( 0, 0, 0, 0 ) |
---|
3522 | phmle(ji,jj) = gdepw(ji,jj,kmld_prof(ji,jj),Kmm) |
---|
3523 | END_2D |
---|
3524 | ! |
---|
3525 | IF( ln_timing ) CALL timing_stop('zdf_osm_mp') |
---|
3526 | ! |
---|
3527 | END SUBROUTINE zdf_osm_mle_parameters |
---|
3528 | |
---|
3529 | SUBROUTINE zdf_osm_init( Kmm ) |
---|
3530 | !!---------------------------------------------------------------------- |
---|
3531 | !! *** ROUTINE zdf_osm_init *** |
---|
3532 | !! |
---|
3533 | !! ** Purpose : Initialization of the vertical eddy diffivity and |
---|
3534 | !! viscosity when using a osm turbulent closure scheme |
---|
3535 | !! |
---|
3536 | !! ** Method : Read the namosm namelist and check the parameters |
---|
3537 | !! called at the first timestep (nit000) |
---|
3538 | !! |
---|
3539 | !! ** input : Namlists namzdf_osm and namosm_mle |
---|
3540 | !! |
---|
3541 | !!---------------------------------------------------------------------- |
---|
3542 | INTEGER, INTENT(in ) :: Kmm ! Time level |
---|
3543 | ! |
---|
3544 | ! Local variables |
---|
3545 | INTEGER :: ios ! Local integer |
---|
3546 | INTEGER :: ji, jj, jk ! Dummy loop indices |
---|
3547 | REAL(wp) :: z1_t2 |
---|
3548 | ! |
---|
3549 | REAL(wp), PARAMETER :: pp_large = -1e10_wp |
---|
3550 | ! |
---|
3551 | NAMELIST/namzdf_osm/ ln_use_osm_la, rn_osm_la, rn_osm_dstokes, nn_ave, nn_osm_wave, & |
---|
3552 | & ln_dia_osm, rn_osm_hbl0, rn_zdfosm_adjust_sd, ln_kpprimix, rn_riinfty, & |
---|
3553 | & rn_difri, ln_convmix, rn_difconv, nn_osm_wave, nn_osm_SD_reduce, & |
---|
3554 | & ln_osm_mle, rn_osm_hblfrac, rn_osm_bl_thresh, ln_zdfosm_ice_shelter |
---|
3555 | #ifdef key_osm_debug |
---|
3556 | NAMELIST/namzdf_osm/ nn_idb, nn_jdb, nn_kdb, nn_narea_db |
---|
3557 | #endif |
---|
3558 | ! Namelist for Fox-Kemper parametrization |
---|
3559 | NAMELIST/namosm_mle/ nn_osm_mle, rn_osm_mle_ce, rn_osm_mle_lf, rn_osm_mle_time, rn_osm_mle_lat, & |
---|
3560 | & rn_osm_mle_rho_c, rn_osm_mle_thresh, rn_osm_mle_tau, ln_osm_hmle_limit, rn_osm_hmle_limit |
---|
3561 | ! |
---|
3562 | IF( ln_timing ) CALL timing_start('zdf_osm_init') |
---|
3563 | READ ( numnam_ref, namzdf_osm, IOSTAT = ios, ERR = 901) |
---|
3564 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_osm in reference namelist' ) |
---|
3565 | |
---|
3566 | READ ( numnam_cfg, namzdf_osm, IOSTAT = ios, ERR = 902 ) |
---|
3567 | 902 IF( ios > 0 ) CALL ctl_nam ( ios , 'namzdf_osm in configuration namelist' ) |
---|
3568 | IF(lwm) WRITE ( numond, namzdf_osm ) |
---|
3569 | |
---|
3570 | IF(lwp) THEN ! Control print |
---|
3571 | WRITE(numout,*) |
---|
3572 | WRITE(numout,*) 'zdf_osm_init : OSMOSIS Parameterisation' |
---|
3573 | WRITE(numout,*) '~~~~~~~~~~~~' |
---|
3574 | WRITE(numout,*) ' Namelist namzdf_osm : set osm mixing parameters' |
---|
3575 | WRITE(numout,*) ' Use rn_osm_la ln_use_osm_la = ', ln_use_osm_la |
---|
3576 | WRITE(numout,*) ' Use MLE in OBL, i.e. Fox-Kemper param ln_osm_mle = ', ln_osm_mle |
---|
3577 | WRITE(numout,*) ' Turbulent Langmuir number rn_osm_la = ', rn_osm_la |
---|
3578 | WRITE(numout,*) ' Stokes drift reduction factor rn_zdfosm_adjust_sd = ', rn_zdfosm_adjust_sd |
---|
3579 | WRITE(numout,*) ' Initial hbl for 1D runs rn_osm_hbl0 = ', rn_osm_hbl0 |
---|
3580 | WRITE(numout,*) ' Depth scale of Stokes drift rn_osm_dstokes = ', rn_osm_dstokes |
---|
3581 | WRITE(numout,*) ' Horizontal average flag nn_ave = ', nn_ave |
---|
3582 | WRITE(numout,*) ' Stokes drift nn_osm_wave = ', nn_osm_wave |
---|
3583 | SELECT CASE (nn_osm_wave) |
---|
3584 | CASE(0) |
---|
3585 | WRITE(numout,*) ' Calculated assuming constant La#=0.3' |
---|
3586 | CASE(1) |
---|
3587 | WRITE(numout,*) ' Calculated from Pierson Moskowitz wind-waves' |
---|
3588 | CASE(2) |
---|
3589 | WRITE(numout,*) ' Calculated from ECMWF wave fields' |
---|
3590 | END SELECT |
---|
3591 | WRITE(numout,*) ' Stokes drift reduction nn_osm_SD_reduce = ', nn_osm_SD_reduce |
---|
3592 | WRITE(numout,*) ' Fraction of hbl to average SD over/fit' |
---|
3593 | WRITE(numout,*) ' Exponential with nn_osm_SD_reduce = 1 or 2 rn_osm_hblfrac = ', rn_osm_hblfrac |
---|
3594 | SELECT CASE (nn_osm_SD_reduce) |
---|
3595 | CASE(0) |
---|
3596 | WRITE(numout,*) ' No reduction' |
---|
3597 | CASE(1) |
---|
3598 | WRITE(numout,*) ' Average SD over upper rn_osm_hblfrac of BL' |
---|
3599 | CASE(2) |
---|
3600 | WRITE(numout,*) ' Fit exponential to slope rn_osm_hblfrac of BL' |
---|
3601 | END SELECT |
---|
3602 | WRITE(numout,*) ' Reduce surface SD and depth scale under ice ln_zdfosm_ice_shelter = ', ln_zdfosm_ice_shelter |
---|
3603 | WRITE(numout,*) ' Output osm diagnostics ln_dia_osm = ', ln_dia_osm |
---|
3604 | WRITE(numout,*) ' Threshold used to define BL rn_osm_bl_thresh = ', rn_osm_bl_thresh, & |
---|
3605 | & 'm^2/s' |
---|
3606 | WRITE(numout,*) ' Use KPP-style shear instability mixing ln_kpprimix = ', ln_kpprimix |
---|
3607 | WRITE(numout,*) ' Local Richardson Number limit for shear instability rn_riinfty = ', rn_riinfty |
---|
3608 | WRITE(numout,*) ' Maximum shear diffusivity at Rig = 0 (m2/s) rn_difri = ', rn_difri |
---|
3609 | WRITE(numout,*) ' Use large mixing below BL when unstable ln_convmix = ', ln_convmix |
---|
3610 | WRITE(numout,*) ' Diffusivity when unstable below BL (m2/s) rn_difconv = ', rn_difconv |
---|
3611 | #ifdef key_osm_debug |
---|
3612 | WRITE(numout,*) 'nn_idb', nn_idb, 'nn_jdb', nn_jdb, 'nn_kdb', nn_kdb, 'nn_narea_db', nn_narea_db |
---|
3613 | iloc_db = mi0(nn_idb) |
---|
3614 | jloc_db = mj0(nn_jdb) |
---|
3615 | WRITE(numout,*) 'iloc_db ', iloc_db , 'jloc_db', jloc_db |
---|
3616 | #endif |
---|
3617 | ENDIF |
---|
3618 | ! |
---|
3619 | ! ! Check wave coupling settings ! |
---|
3620 | ! ! Further work needed - see ticket #2447 ! |
---|
3621 | IF ( nn_osm_wave == 2 ) THEN |
---|
3622 | IF (.NOT. ( ln_wave .AND. ln_sdw )) & |
---|
3623 | & CALL ctl_stop( 'zdf_osm_init : ln_zdfosm and nn_osm_wave=2, ln_wave and ln_sdw must be true' ) |
---|
3624 | END IF |
---|
3625 | ! |
---|
3626 | ! Flags associated with diagnostic output |
---|
3627 | IF ( ln_dia_osm .AND. ( iom_use("zdudz_pyc") .OR. iom_use("zdvdz_pyc") ) ) ln_dia_pyc_shr = .TRUE. |
---|
3628 | IF ( ln_dia_osm .AND. ( iom_use("zdtdz_pyc") .OR. iom_use("zdsdz_pyc") .OR. iom_use("zdbdz_pyc" ) ) ) ln_dia_pyc_scl = .TRUE. |
---|
3629 | ! |
---|
3630 | ! Allocate zdfosm arrays |
---|
3631 | IF( zdf_osm_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'zdf_osm_init : unable to allocate arrays' ) |
---|
3632 | ! |
---|
3633 | IF( ln_osm_mle ) THEN ! Initialise Fox-Kemper parametrization |
---|
3634 | READ ( numnam_ref, namosm_mle, IOSTAT = ios, ERR = 903) |
---|
3635 | 903 IF( ios /= 0 ) CALL ctl_nam( ios, 'namosm_mle in reference namelist' ) |
---|
3636 | READ ( numnam_cfg, namosm_mle, IOSTAT = ios, ERR = 904 ) |
---|
3637 | 904 IF( ios > 0 ) CALL ctl_nam( ios, 'namosm_mle in configuration namelist' ) |
---|
3638 | IF(lwm) WRITE ( numond, namosm_mle ) |
---|
3639 | ! |
---|
3640 | IF(lwp) THEN ! Namelist print |
---|
3641 | WRITE(numout,*) |
---|
3642 | WRITE(numout,*) 'zdf_osm_init : initialise mixed layer eddy (MLE)' |
---|
3643 | WRITE(numout,*) '~~~~~~~~~~~~~' |
---|
3644 | WRITE(numout,*) ' Namelist namosm_mle : ' |
---|
3645 | WRITE(numout,*) ' MLE type: =0 standard Fox-Kemper ; =1 new formulation nn_osm_mle = ', nn_osm_mle |
---|
3646 | WRITE(numout,*) ' Magnitude of the MLE (typical value: 0.06 to 0.08) rn_osm_mle_ce = ', rn_osm_mle_ce |
---|
3647 | WRITE(numout,*) ' Scale of ML front (ML radius of deform.) (nn_osm_mle=0) rn_osm_mle_lf = ', rn_osm_mle_lf, & |
---|
3648 | & 'm' |
---|
3649 | WRITE(numout,*) ' Maximum time scale of MLE (nn_osm_mle=0) rn_osm_mle_time = ', & |
---|
3650 | & rn_osm_mle_time, 's' |
---|
3651 | WRITE(numout,*) ' Reference latitude (deg) of MLE coef. (nn_osm_mle=1) rn_osm_mle_lat = ', rn_osm_mle_lat, & |
---|
3652 | & 'deg' |
---|
3653 | WRITE(numout,*) ' Density difference used to define ML for FK rn_osm_mle_rho_c = ', rn_osm_mle_rho_c |
---|
3654 | WRITE(numout,*) ' Threshold used to define MLE for FK rn_osm_mle_thresh = ', & |
---|
3655 | & rn_osm_mle_thresh, 'm^2/s' |
---|
3656 | WRITE(numout,*) ' Timescale for OSM-FK rn_osm_mle_tau = ', rn_osm_mle_tau, 's' |
---|
3657 | WRITE(numout,*) ' Switch to limit hmle ln_osm_hmle_limit = ', ln_osm_hmle_limit |
---|
3658 | WRITE(numout,*) ' hmle limit (fraction of zmld) (ln_osm_hmle_limit = .T.) rn_osm_hmle_limit = ', rn_osm_hmle_limit |
---|
3659 | END IF |
---|
3660 | END IF |
---|
3661 | ! |
---|
3662 | IF(lwp) THEN |
---|
3663 | WRITE(numout,*) |
---|
3664 | IF ( ln_osm_mle ) THEN |
---|
3665 | WRITE(numout,*) ' ==>>> Mixed Layer Eddy induced transport added to OSMOSIS BL calculation' |
---|
3666 | IF( nn_osm_mle == 0 ) WRITE(numout,*) ' Fox-Kemper et al 2010 formulation' |
---|
3667 | IF( nn_osm_mle == 1 ) WRITE(numout,*) ' New formulation' |
---|
3668 | ELSE |
---|
3669 | WRITE(numout,*) ' ==>>> Mixed Layer induced transport NOT added to OSMOSIS BL calculation' |
---|
3670 | END IF |
---|
3671 | END IF |
---|
3672 | ! |
---|
3673 | IF( ln_osm_mle ) THEN ! MLE initialisation |
---|
3674 | ! |
---|
3675 | rb_c = grav * rn_osm_mle_rho_c / rho0 ! Mixed Layer buoyancy criteria |
---|
3676 | IF(lwp) WRITE(numout,*) |
---|
3677 | IF(lwp) WRITE(numout,*) ' ML buoyancy criteria = ', rb_c, ' m/s2 ' |
---|
3678 | IF(lwp) WRITE(numout,*) ' associated ML density criteria defined in zdfmxl = ', rn_osm_mle_rho_c, 'kg/m3' |
---|
3679 | ! |
---|
3680 | IF( nn_osm_mle == 1 ) THEN |
---|
3681 | rc_f = rn_osm_mle_ce / ( 5e3_wp * 2.0_wp * omega * SIN( rad * rn_osm_mle_lat ) ) |
---|
3682 | END IF |
---|
3683 | ! 1/(f^2+tau^2)^1/2 at t-point (needed in both nn_osm_mle case) |
---|
3684 | z1_t2 = 2e-5_wp |
---|
3685 | DO_2D( 1, 1, 1, 1 ) |
---|
3686 | r1_ft(ji,jj) = MIN( 1.0_wp / ( ABS( ff_t(ji,jj)) + epsln ), ABS( ff_t(ji,jj) ) / z1_t2**2 ) |
---|
3687 | END_2D |
---|
3688 | ! z1_t2 = 1._wp / ( rn_osm_mle_time * rn_osm_mle_timeji,jj ) |
---|
3689 | ! r1_ft(:,:) = 1._wp / SQRT( ff_t(:,:) * ff_t(:,:) + z1_t2 ) |
---|
3690 | ! |
---|
3691 | END IF |
---|
3692 | ! |
---|
3693 | CALL osm_rst( nit000, Kmm, 'READ' ) ! Read or initialize hbl, dh, hmle |
---|
3694 | ! |
---|
3695 | IF ( ln_zdfddm ) THEN |
---|
3696 | IF(lwp) THEN |
---|
3697 | WRITE(numout,*) |
---|
3698 | WRITE(numout,*) ' Double diffusion mixing on temperature and salinity ' |
---|
3699 | WRITE(numout,*) ' CAUTION : done in routine zdfosm, not in routine zdfddm ' |
---|
3700 | END IF |
---|
3701 | END IF |
---|
3702 | ! |
---|
3703 | ! Set constants not in namelist |
---|
3704 | ! ----------------------------- |
---|
3705 | IF(lwp) THEN |
---|
3706 | WRITE(numout,*) |
---|
3707 | END IF |
---|
3708 | ! |
---|
3709 | dstokes(:,:) = pp_large |
---|
3710 | IF (nn_osm_wave == 0) THEN |
---|
3711 | dstokes(:,:) = rn_osm_dstokes |
---|
3712 | END IF |
---|
3713 | ! |
---|
3714 | ! Horizontal average : initialization of weighting arrays |
---|
3715 | ! ------------------- |
---|
3716 | SELECT CASE ( nn_ave ) |
---|
3717 | CASE ( 0 ) ! no horizontal average |
---|
3718 | IF(lwp) WRITE(numout,*) ' no horizontal average on avt' |
---|
3719 | IF(lwp) WRITE(numout,*) ' only in very high horizontal resolution !' |
---|
3720 | ! Weighting mean arrays etmean |
---|
3721 | ! ( 1 1 ) |
---|
3722 | ! avt = 1/4 ( 1 1 ) |
---|
3723 | ! |
---|
3724 | etmean(:,:,:) = 0.0_wp |
---|
3725 | ! |
---|
3726 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
---|
3727 | etmean(ji,jj,jk) = tmask(ji,jj,jk) / MAX( 1.0_wp, umask(ji-1,jj, jk) + umask(ji,jj,jk) + & |
---|
3728 | & vmask(ji, jj-1,jk) + vmask(ji,jj,jk) ) |
---|
3729 | END_3D |
---|
3730 | CASE ( 1 ) ! horizontal average |
---|
3731 | IF(lwp) WRITE(numout,*) ' horizontal average on avt' |
---|
3732 | ! Weighting mean arrays etmean |
---|
3733 | ! ( 1/2 1 1/2 ) |
---|
3734 | ! avt = 1/8 ( 1 2 1 ) |
---|
3735 | ! ( 1/2 1 1/2 ) |
---|
3736 | etmean(:,:,:) = 0.0_wp |
---|
3737 | ! |
---|
3738 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
---|
3739 | etmean(ji,jj,jk) = tmask(ji, jj,jk) / MAX( 1.0_wp, 2.0_wp * tmask(ji,jj,jk) + & |
---|
3740 | & 0.5_wp * ( tmask(ji-1,jj+1,jk) + tmask(ji-1,jj-1,jk) + & |
---|
3741 | & tmask(ji+1,jj+1,jk) + tmask(ji+1,jj-1,jk) ) + & |
---|
3742 | & 1.0_wp * ( tmask(ji-1,jj, jk) + tmask(ji, jj+1,jk) + & |
---|
3743 | & tmask(ji, jj-1,jk) + tmask(ji+1,jj, jk) ) ) |
---|
3744 | END_3D |
---|
3745 | CASE DEFAULT |
---|
3746 | WRITE(ctmp1,*) ' bad flag value for nn_ave = ', nn_ave |
---|
3747 | CALL ctl_stop( ctmp1 ) |
---|
3748 | END SELECT |
---|
3749 | ! |
---|
3750 | ! Initialization of vertical eddy coef. to the background value |
---|
3751 | ! ------------------------------------------------------------- |
---|
3752 | DO jk = 1, jpk |
---|
3753 | avt(:,:,jk) = avtb(jk) * tmask(:,:,jk) |
---|
3754 | END DO |
---|
3755 | ! |
---|
3756 | ! Zero the surface flux for non local term and osm mixed layer depth |
---|
3757 | ! ------------------------------------------------------------------ |
---|
3758 | ghamt(:,:,:) = 0.0_wp |
---|
3759 | ghams(:,:,:) = 0.0_wp |
---|
3760 | ghamu(:,:,:) = 0.0_wp |
---|
3761 | ghamv(:,:,:) = 0.0_wp |
---|
3762 | ! |
---|
3763 | IF( ln_timing ) CALL timing_stop('zdf_osm_init') |
---|
3764 | ! |
---|
3765 | END SUBROUTINE zdf_osm_init |
---|
3766 | |
---|
3767 | SUBROUTINE osm_rst( kt, Kmm, cdrw ) |
---|
3768 | !!--------------------------------------------------------------------- |
---|
3769 | !! *** ROUTINE osm_rst *** |
---|
3770 | !! |
---|
3771 | !! ** Purpose : Read or write BL fields in restart file |
---|
3772 | !! |
---|
3773 | !! ** Method : use of IOM library. If the restart does not contain |
---|
3774 | !! required fields, they are recomputed from stratification |
---|
3775 | !! |
---|
3776 | !!---------------------------------------------------------------------- |
---|
3777 | INTEGER , INTENT(in ) :: kt ! Ocean time step index |
---|
3778 | INTEGER , INTENT(in ) :: Kmm ! Ocean time level index (middle) |
---|
3779 | CHARACTER(len=*), INTENT(in ) :: cdrw ! "READ"/"WRITE" flag |
---|
3780 | ! |
---|
3781 | ! Local variables |
---|
3782 | INTEGER :: id1, id2, id3 ! iom enquiry index |
---|
3783 | INTEGER :: ji, jj, jk ! Dummy loop indices |
---|
3784 | INTEGER :: iiki, ikt ! Local integer |
---|
3785 | REAL(wp) :: zhbf ! Tempory scalars |
---|
3786 | REAL(wp) :: zN2_c ! Local scalar |
---|
3787 | REAL(wp) :: rho_c = 0.01_wp ! Density criterion for mixed layer depth |
---|
3788 | INTEGER, DIMENSION(jpi,jpj) :: imld_rst ! Level of mixed-layer depth (pycnocline top) |
---|
3789 | ! |
---|
3790 | IF( ln_timing ) CALL timing_start('osm_rst') |
---|
3791 | ! |
---|
3792 | !!----------------------------------------------------------------------------- |
---|
3793 | ! If READ/WRITE Flag is 'READ', try to get hbl from restart file. If successful then return |
---|
3794 | !!----------------------------------------------------------------------------- |
---|
3795 | IF( TRIM(cdrw) == 'READ' .AND. ln_rstart) THEN |
---|
3796 | id1 = iom_varid( numror, 'wn', ldstop = .FALSE. ) |
---|
3797 | IF( id1 > 0 ) THEN ! 'wn' exists; read |
---|
3798 | CALL iom_get( numror, jpdom_auto, 'wn', ww ) |
---|
3799 | WRITE(numout,*) ' ===>>>> : wn read from restart file' |
---|
3800 | ELSE |
---|
3801 | ww(:,:,:) = 0.0_wp |
---|
3802 | WRITE(numout,*) ' ===>>>> : wn not in restart file, set to zero initially' |
---|
3803 | END IF |
---|
3804 | ! |
---|
3805 | id1 = iom_varid( numror, 'hbl', ldstop = .FALSE. ) |
---|
3806 | id2 = iom_varid( numror, 'dh', ldstop = .FALSE. ) |
---|
3807 | IF( id1 > 0 .AND. id2 > 0 ) THEN ! 'hbl' exists; read and return |
---|
3808 | CALL iom_get( numror, jpdom_auto, 'hbl', hbl ) |
---|
3809 | CALL iom_get( numror, jpdom_auto, 'dh', dh ) |
---|
3810 | hml(:,:) = hbl(:,:) - dh(:,:) ! Initialise ML depth |
---|
3811 | WRITE(numout,*) ' ===>>>> : hbl & dh read from restart file' |
---|
3812 | IF( ln_osm_mle ) THEN |
---|
3813 | id3 = iom_varid( numror, 'hmle', ldstop = .FALSE. ) |
---|
3814 | IF( id3 > 0 ) THEN |
---|
3815 | CALL iom_get( numror, jpdom_auto, 'hmle', hmle ) |
---|
3816 | WRITE(numout,*) ' ===>>>> : hmle read from restart file' |
---|
3817 | ELSE |
---|
3818 | WRITE(numout,*) ' ===>>>> : hmle not found, set to hbl' |
---|
3819 | hmle(:,:) = hbl(:,:) ! Initialise MLE depth |
---|
3820 | END IF |
---|
3821 | END IF |
---|
3822 | RETURN |
---|
3823 | ELSE ! 'hbl' & 'dh' not in restart file, recalculate |
---|
3824 | WRITE(numout,*) ' ===>>>> : previous run without osmosis scheme, hbl computed from stratification' |
---|
3825 | END IF |
---|
3826 | END IF |
---|
3827 | ! |
---|
3828 | !!----------------------------------------------------------------------------- |
---|
3829 | ! If READ/WRITE Flag is 'WRITE', write hbl into the restart file, then return |
---|
3830 | !!----------------------------------------------------------------------------- |
---|
3831 | IF ( TRIM(cdrw) == 'WRITE' ) THEN |
---|
3832 | IF(lwp) WRITE(numout,*) '---- osm-rst ----' |
---|
3833 | CALL iom_rstput( kt, nitrst, numrow, 'wn', ww ) |
---|
3834 | CALL iom_rstput( kt, nitrst, numrow, 'hbl', hbl ) |
---|
3835 | CALL iom_rstput( kt, nitrst, numrow, 'dh', dh ) |
---|
3836 | IF ( ln_osm_mle ) THEN |
---|
3837 | CALL iom_rstput( kt, nitrst, numrow, 'hmle', hmle ) |
---|
3838 | END IF |
---|
3839 | RETURN |
---|
3840 | END IF |
---|
3841 | ! |
---|
3842 | !!----------------------------------------------------------------------------- |
---|
3843 | ! Getting hbl, no restart file with hbl, so calculate from surface stratification |
---|
3844 | !!----------------------------------------------------------------------------- |
---|
3845 | IF( lwp ) WRITE(numout,*) ' ===>>>> : calculating hbl computed from stratification' |
---|
3846 | ! w-level of the mixing and mixed layers |
---|
3847 | CALL eos_rab( ts(:,:,:,:,Kmm), rab_n, Kmm ) |
---|
3848 | CALL bn2( ts(:,:,:,:,Kmm), rab_n, rn2, Kmm ) |
---|
3849 | imld_rst(:,:) = nlb10 ! Initialization to the number of w ocean point |
---|
3850 | hbl(:,:) = 0.0_wp ! Here hbl used as a dummy variable, integrating vertically N^2 |
---|
3851 | zN2_c = grav * rho_c * r1_rho0 ! Convert density criteria into N^2 criteria |
---|
3852 | ! |
---|
3853 | hbl(:,:) = 0.0_wp ! Here hbl used as a dummy variable, integrating vertically N^2 |
---|
3854 | DO_3D( 1, 1, 1, 1, 1, jpkm1 ) |
---|
3855 | ikt = mbkt(ji,jj) |
---|
3856 | hbl(ji,jj) = hbl(ji,jj) + MAX( rn2(ji,jj,jk) , 0.0_wp ) * e3w(ji,jj,jk,Kmm) |
---|
3857 | IF ( hbl(ji,jj) < zN2_c ) imld_rst(ji,jj) = MIN( jk , ikt ) + 1 ! Mixed layer level |
---|
3858 | END_3D |
---|
3859 | ! |
---|
3860 | DO_2D( 1, 1, 1, 1 ) |
---|
3861 | iiki = MAX( 4, imld_rst(ji,jj) ) |
---|
3862 | hbl(ji,jj) = gdepw(ji,jj,iiki,Kmm ) ! Turbocline depth |
---|
3863 | dh(ji,jj) = e3t(ji,jj,iiki-1,Kmm ) ! Turbocline depth |
---|
3864 | hml(ji,jj) = hbl(ji,jj) - dh(ji,jj) |
---|
3865 | END_2D |
---|
3866 | ! |
---|
3867 | WRITE(numout,*) ' ===>>>> : hbl computed from stratification' |
---|
3868 | ! |
---|
3869 | IF( ln_osm_mle ) THEN |
---|
3870 | hmle(:,:) = hbl(:,:) ! Initialise MLE depth. |
---|
3871 | WRITE(numout,*) ' ===>>>> : hmle set = to hbl' |
---|
3872 | END IF |
---|
3873 | ! |
---|
3874 | ww(:,:,:) = 0._wp |
---|
3875 | WRITE(numout,*) ' ===>>>> : wn not in restart file, set to zero initially' |
---|
3876 | ! |
---|
3877 | IF( ln_timing ) CALL timing_stop('osm_rst') |
---|
3878 | ! |
---|
3879 | END SUBROUTINE osm_rst |
---|
3880 | |
---|
3881 | SUBROUTINE tra_osm( kt, Kmm, pts, Krhs ) |
---|
3882 | !!---------------------------------------------------------------------- |
---|
3883 | !! *** ROUTINE tra_osm *** |
---|
3884 | !! |
---|
3885 | !! ** Purpose : compute and add to the tracer trend the non-local tracer flux |
---|
3886 | !! |
---|
3887 | !! ** Method : ??? |
---|
3888 | !! |
---|
3889 | !!---------------------------------------------------------------------- |
---|
3890 | INTEGER , INTENT(in ) :: kt ! Time step index |
---|
3891 | INTEGER , INTENT(in ) :: Kmm, Krhs ! Time level indices |
---|
3892 | REAL(wp), DIMENSION(jpi,jpj,jpk,jpts,jpt), INTENT(inout) :: pts ! Active tracers and RHS of tracer equation |
---|
3893 | ! |
---|
3894 | ! Local variables |
---|
3895 | INTEGER :: ji, jj, jk |
---|
3896 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: ztrdt, ztrds ! 3D workspace |
---|
3897 | ! |
---|
3898 | IF( ln_timing ) CALL timing_start('tra_osm') |
---|
3899 | ! |
---|
3900 | IF ( kt == nit000 ) THEN |
---|
3901 | IF ( ntile == 0 .OR. ntile == 1 ) THEN ! Do only on the first tile |
---|
3902 | IF(lwp) WRITE(numout,*) |
---|
3903 | IF(lwp) WRITE(numout,*) 'tra_osm : OSM non-local tracer fluxes' |
---|
3904 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
---|
3905 | END IF |
---|
3906 | END IF |
---|
3907 | ! |
---|
3908 | IF ( l_trdtra ) THEN ! Save ta and sa trends |
---|
3909 | ALLOCATE( ztrdt(jpi,jpj,jpk), ztrds(jpi,jpj,jpk) ) |
---|
3910 | ztrdt(:,:,:) = pts(:,:,:,jp_tem,Krhs) |
---|
3911 | ztrds(:,:,:) = pts(:,:,:,jp_sal,Krhs) |
---|
3912 | END IF |
---|
3913 | ! |
---|
3914 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
---|
3915 | pts(ji,jj,jk,jp_tem,Krhs) = pts(ji,jj,jk,jp_tem,Krhs) & |
---|
3916 | & - ( ghamt(ji,jj,jk ) & |
---|
3917 | & - ghamt(ji,jj,jk+1) ) /e3t(ji,jj,jk,Kmm) |
---|
3918 | pts(ji,jj,jk,jp_sal,Krhs) = pts(ji,jj,jk,jp_sal,Krhs) & |
---|
3919 | & - ( ghams(ji,jj,jk ) & |
---|
3920 | & - ghams(ji,jj,jk+1) ) / e3t(ji,jj,jk,Kmm) |
---|
3921 | END_3D |
---|
3922 | ! |
---|
3923 | IF ( l_trdtra ) THEN ! Save the non-local tracer flux trends for diagnostics |
---|
3924 | ztrdt(:,:,:) = pts(:,:,:,jp_tem,Krhs) - ztrdt(:,:,:) |
---|
3925 | ztrds(:,:,:) = pts(:,:,:,jp_sal,Krhs) - ztrds(:,:,:) |
---|
3926 | CALL trd_tra( kt, Kmm, Krhs, 'TRA', jp_tem, jptra_osm, ztrdt ) |
---|
3927 | CALL trd_tra( kt, Kmm, Krhs, 'TRA', jp_sal, jptra_osm, ztrds ) |
---|
3928 | DEALLOCATE( ztrdt, ztrds ) |
---|
3929 | END IF |
---|
3930 | ! |
---|
3931 | IF ( sn_cfctl%l_prtctl ) THEN |
---|
3932 | CALL prt_ctl( tab3d_1=pts(:,:,:,jp_tem,Krhs), clinfo1=' osm - Ta: ', mask1=tmask, & |
---|
3933 | & tab3d_2=pts(:,:,:,jp_sal,Krhs), clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra' ) |
---|
3934 | END IF |
---|
3935 | ! |
---|
3936 | IF( ln_timing ) CALL timing_stop('tra_osm') |
---|
3937 | ! |
---|
3938 | END SUBROUTINE tra_osm |
---|
3939 | |
---|
3940 | SUBROUTINE trc_osm( kt ) ! Dummy routine |
---|
3941 | !!---------------------------------------------------------------------- |
---|
3942 | !! *** ROUTINE trc_osm *** |
---|
3943 | !! |
---|
3944 | !! ** Purpose : compute and add to the passive tracer trend the non-local |
---|
3945 | !! passive tracer flux |
---|
3946 | !! |
---|
3947 | !! |
---|
3948 | !! ** Method : ??? |
---|
3949 | !! |
---|
3950 | !!---------------------------------------------------------------------- |
---|
3951 | INTEGER, INTENT(in) :: kt |
---|
3952 | ! |
---|
3953 | IF( ln_timing ) CALL timing_start('trc_osm') |
---|
3954 | ! |
---|
3955 | WRITE(*,*) 'trc_osm: Not written yet', kt |
---|
3956 | ! |
---|
3957 | IF( ln_timing ) CALL timing_stop('trc_osm') |
---|
3958 | ! |
---|
3959 | END SUBROUTINE trc_osm |
---|
3960 | |
---|
3961 | SUBROUTINE dyn_osm( kt, Kmm, puu, pvv, Krhs ) |
---|
3962 | !!---------------------------------------------------------------------- |
---|
3963 | !! *** ROUTINE dyn_osm *** |
---|
3964 | !! |
---|
3965 | !! ** Purpose : compute and add to the velocity trend the non-local flux |
---|
3966 | !! copied/modified from tra_osm |
---|
3967 | !! |
---|
3968 | !! ** Method : ??? |
---|
3969 | !! |
---|
3970 | !!---------------------------------------------------------------------- |
---|
3971 | INTEGER , INTENT(in ) :: kt ! Ocean time step index |
---|
3972 | INTEGER , INTENT(in ) :: Kmm, Krhs ! Ocean time level indices |
---|
3973 | REAL(wp), DIMENSION(jpi,jpj,jpk,jpt), INTENT(inout) :: puu, pvv ! Ocean velocities and RHS of momentum equation |
---|
3974 | ! |
---|
3975 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
3976 | !!---------------------------------------------------------------------- |
---|
3977 | ! |
---|
3978 | IF( ln_timing ) CALL timing_start('dyn_osm') |
---|
3979 | ! |
---|
3980 | IF ( kt == nit000 ) THEN |
---|
3981 | IF(lwp) WRITE(numout,*) |
---|
3982 | IF(lwp) WRITE(numout,*) 'dyn_osm : OSM non-local velocity' |
---|
3983 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
---|
3984 | END IF |
---|
3985 | ! |
---|
3986 | ! Code saving tracer trends removed, replace with trdmxl_oce |
---|
3987 | ! |
---|
3988 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) ! Add non-local u and v fluxes |
---|
3989 | puu(ji,jj,jk,Krhs) = puu(ji,jj,jk,Krhs) - ( ghamu(ji,jj,jk ) - & |
---|
3990 | & ghamu(ji,jj,jk+1) ) / e3u(ji,jj,jk,Kmm) |
---|
3991 | pvv(ji,jj,jk,Krhs) = pvv(ji,jj,jk,Krhs) - ( ghamv(ji,jj,jk ) - & |
---|
3992 | & ghamv(ji,jj,jk+1) ) / e3v(ji,jj,jk,Kmm) |
---|
3993 | END_3D |
---|
3994 | ! |
---|
3995 | ! Code for saving tracer trends removed |
---|
3996 | ! |
---|
3997 | IF( ln_timing ) CALL timing_stop('dyn_osm') |
---|
3998 | ! |
---|
3999 | END SUBROUTINE dyn_osm |
---|
4000 | |
---|
4001 | !!====================================================================== |
---|
4002 | |
---|
4003 | END MODULE zdfosm |
---|