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_init : initialization, namelist read, and parameters control |
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43 | !! osm_rst : read (or initialize) and write osmosis restart fields |
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44 | !! tra_osm : compute and add to the T & S trend the non-local flux |
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45 | !! trc_osm : compute and add to the passive tracer trend the non-local flux (TBD) |
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46 | !! dyn_osm : compute and add to u & v trensd the non-local flux |
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47 | !! |
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48 | !! Subroutines in revised code. |
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49 | !!---------------------------------------------------------------------- |
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50 | USE oce ! ocean dynamics and active tracers |
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51 | ! uses wn from previous time step (which is now wb) to calculate hbl |
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52 | USE dom_oce ! ocean space and time domain |
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53 | USE zdf_oce ! ocean vertical physics |
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54 | USE sbc_oce ! surface boundary condition: ocean |
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55 | USE sbcwave ! surface wave parameters |
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56 | USE phycst ! physical constants |
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57 | USE eosbn2 ! equation of state |
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58 | USE traqsr ! details of solar radiation absorption |
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59 | USE zdfddm ! double diffusion mixing (avs array) |
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60 | USE iom ! I/O library |
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61 | USE lib_mpp ! MPP library |
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62 | USE trd_oce ! ocean trends definition |
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63 | USE trdtra ! tracers trends |
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64 | ! |
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65 | USE in_out_manager ! I/O manager |
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66 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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67 | USE prtctl ! Print control |
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68 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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69 | |
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70 | IMPLICIT NONE |
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71 | PRIVATE |
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72 | |
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73 | PUBLIC zdf_osm ! routine called by step.F90 |
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74 | PUBLIC zdf_osm_init ! routine called by nemogcm.F90 |
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75 | PUBLIC osm_rst ! routine called by step.F90 |
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76 | PUBLIC tra_osm ! routine called by step.F90 |
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77 | PUBLIC trc_osm ! routine called by trcstp.F90 |
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78 | PUBLIC dyn_osm ! routine called by step.F90 |
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79 | |
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80 | PUBLIC ln_osm_mle ! logical needed by tra_mle_init in tramle.F90 |
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81 | |
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82 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghamu !: non-local u-momentum flux |
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83 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghamv !: non-local v-momentum flux |
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84 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghamt !: non-local temperature flux (gamma/<ws>o) |
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85 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghams !: non-local salinity flux (gamma/<ws>o) |
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86 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: etmean !: averaging operator for avt |
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87 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hbl !: boundary layer depth |
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88 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: dh ! depth of pycnocline |
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89 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hml ! ML depth |
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90 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: dstokes !: penetration depth of the Stokes drift. |
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91 | |
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92 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: r1_ft ! inverse of the modified Coriolis parameter at t-pts |
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93 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hmle ! Depth of layer affexted by mixed layer eddies in Fox-Kemper parametrization |
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94 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: dbdx_mle ! zonal buoyancy gradient in ML |
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95 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: dbdy_mle ! meridional buoyancy gradient in ML |
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96 | INTEGER, PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: mld_prof ! level of base of MLE layer. |
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97 | |
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98 | ! !!** Namelist namzdf_osm ** |
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99 | LOGICAL :: ln_use_osm_la ! Use namelist rn_osm_la |
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100 | |
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101 | LOGICAL :: ln_osm_mle !: flag to activate the Mixed Layer Eddy (MLE) parameterisation |
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102 | |
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103 | REAL(wp) :: rn_osm_la ! Turbulent Langmuir number |
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104 | REAL(wp) :: rn_osm_dstokes ! Depth scale of Stokes drift |
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105 | REAL(wp) :: rn_zdfosm_adjust_sd = 1.0 ! factor to reduce Stokes drift by |
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106 | REAL(wp) :: rn_osm_hblfrac = 0.1! for nn_osm_wave = 3/4 specify fraction in top of hbl |
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107 | LOGICAL :: ln_zdfosm_ice_shelter ! flag to activate ice sheltering |
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108 | REAL(wp) :: rn_osm_hbl0 = 10._wp ! Initial value of hbl for 1D runs |
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109 | INTEGER :: nn_ave ! = 0/1 flag for horizontal average on avt |
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110 | INTEGER :: nn_osm_wave = 0 ! = 0/1/2 flag for getting stokes drift from La# / PM wind-waves/Inputs into sbcwave |
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111 | INTEGER :: nn_osm_SD_reduce ! = 0/1/2 flag for getting effective stokes drift from surface value |
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112 | LOGICAL :: ln_dia_osm ! Use namelist rn_osm_la |
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113 | |
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114 | LOGICAL :: ln_kpprimix = .true. ! Shear instability mixing |
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115 | REAL(wp) :: rn_riinfty = 0.7 ! local Richardson Number limit for shear instability |
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116 | REAL(wp) :: rn_difri = 0.005 ! maximum shear mixing at Rig = 0 (m2/s) |
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117 | LOGICAL :: ln_convmix = .true. ! Convective instability mixing |
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118 | REAL(wp) :: rn_difconv = 1._wp ! diffusivity when unstable below BL (m2/s) |
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119 | |
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120 | ! OSMOSIS mixed layer eddy parametrization constants |
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121 | INTEGER :: nn_osm_mle ! = 0/1 flag for horizontal average on avt |
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122 | REAL(wp) :: rn_osm_mle_ce ! MLE coefficient |
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123 | ! ! parameters used in nn_osm_mle = 0 case |
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124 | REAL(wp) :: rn_osm_mle_lf ! typical scale of mixed layer front |
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125 | REAL(wp) :: rn_osm_mle_time ! time scale for mixing momentum across the mixed layer |
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126 | ! ! parameters used in nn_osm_mle = 1 case |
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127 | REAL(wp) :: rn_osm_mle_lat ! reference latitude for a 5 km scale of ML front |
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128 | LOGICAL :: ln_osm_hmle_limit ! If true arbitrarily restrict hmle to rn_osm_hmle_limit*zmld |
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129 | 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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130 | REAL(wp) :: rn_osm_mle_rho_c ! Density criterion for definition of MLD used by FK |
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131 | REAL(wp) :: r5_21 = 5.e0 / 21.e0 ! factor used in mle streamfunction computation |
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132 | REAL(wp) :: rb_c ! ML buoyancy criteria = g rho_c /rau0 where rho_c is defined in zdfmld |
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133 | REAL(wp) :: rc_f ! MLE coefficient (= rn_ce / (5 km * fo) ) in nn_osm_mle=1 case |
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134 | REAL(wp) :: rn_osm_mle_thresh ! Threshold buoyancy for deepening of MLE layer below OSBL base. |
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135 | REAL(wp) :: rn_osm_mle_tau ! Adjustment timescale for MLE. |
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136 | |
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137 | |
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138 | ! !!! ** General constants ** |
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139 | REAL(wp) :: epsln = 1.0e-20_wp ! a small positive number to ensure no div by zero |
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140 | 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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141 | REAL(wp) :: pthird = 1._wp/3._wp ! 1/3 |
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142 | REAL(wp) :: p2third = 2._wp/3._wp ! 2/3 |
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143 | |
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144 | INTEGER :: idebug = 236 |
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145 | INTEGER :: jdebug = 228 |
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146 | !!---------------------------------------------------------------------- |
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147 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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148 | !! $Id: zdfosm.F90 12317 2020-01-14 12:40:47Z agn $ |
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149 | !! Software governed by the CeCILL license (see ./LICENSE) |
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150 | !!---------------------------------------------------------------------- |
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151 | CONTAINS |
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152 | |
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153 | INTEGER FUNCTION zdf_osm_alloc() |
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154 | !!---------------------------------------------------------------------- |
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155 | !! *** FUNCTION zdf_osm_alloc *** |
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156 | !!---------------------------------------------------------------------- |
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157 | ALLOCATE( ghamu(jpi,jpj,jpk), ghamv(jpi,jpj,jpk), ghamt(jpi,jpj,jpk),ghams(jpi,jpj,jpk), & |
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158 | & hbl(jpi,jpj), dh(jpi,jpj), hml(jpi,jpj), dstokes(jpi, jpj), & |
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159 | & etmean(jpi,jpj,jpk), STAT= zdf_osm_alloc ) |
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160 | |
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161 | ALLOCATE( hmle(jpi,jpj), r1_ft(jpi,jpj), dbdx_mle(jpi,jpj), dbdy_mle(jpi,jpj), & |
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162 | & mld_prof(jpi,jpj), STAT= zdf_osm_alloc ) |
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163 | |
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164 | ! ALLOCATE( ghamu(jpi,jpj,jpk), ghamv(jpi,jpj,jpk), ghamt(jpi,jpj,jpk),ghams(jpi,jpj,jpk), & ! would ths be better ? |
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165 | ! & hbl(jpi,jpj), dh(jpi,jpj), hml(jpi,jpj), dstokes(jpi, jpj), & |
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166 | ! & etmean(jpi,jpj,jpk), STAT= zdf_osm_alloc ) |
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167 | ! IF( zdf_osm_alloc /= 0 ) CALL ctl_warn('zdf_osm_alloc: failed to allocate zdf_osm arrays') |
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168 | ! IF ( ln_osm_mle ) THEN |
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169 | ! Allocate( hmle(jpi,jpj), r1_ft(jpi,jpj), STAT= zdf_osm_alloc ) |
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170 | ! IF( zdf_osm_alloc /= 0 ) CALL ctl_warn('zdf_osm_alloc: failed to allocate zdf_osm mle arrays') |
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171 | ! ENDIF |
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172 | |
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173 | IF( zdf_osm_alloc /= 0 ) CALL ctl_warn('zdf_osm_alloc: failed to allocate zdf_osm arrays') |
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174 | CALL mpp_sum ( 'zdfosm', zdf_osm_alloc ) |
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175 | END FUNCTION zdf_osm_alloc |
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176 | |
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177 | |
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178 | SUBROUTINE zdf_osm( kt, p_avm, p_avt ) |
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179 | !!---------------------------------------------------------------------- |
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180 | !! *** ROUTINE zdf_osm *** |
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181 | !! |
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182 | !! ** Purpose : Compute the vertical eddy viscosity and diffusivity |
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183 | !! coefficients and non local mixing using the OSMOSIS scheme |
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184 | !! |
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185 | !! ** Method : The boundary layer depth hosm is diagnosed at tracer points |
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186 | !! from profiles of buoyancy, and shear, and the surface forcing. |
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187 | !! Above hbl (sigma=-z/hbl <1) the mixing coefficients are computed from |
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188 | !! |
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189 | !! Kx = hosm Wx(sigma) G(sigma) |
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190 | !! |
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191 | !! and the non local term ghamt = Cs / Ws(sigma) / hosm |
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192 | !! Below hosm the coefficients are the sum of mixing due to internal waves |
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193 | !! shear instability and double diffusion. |
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194 | !! |
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195 | !! -1- Compute the now interior vertical mixing coefficients at all depths. |
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196 | !! -2- Diagnose the boundary layer depth. |
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197 | !! -3- Compute the now boundary layer vertical mixing coefficients. |
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198 | !! -4- Compute the now vertical eddy vicosity and diffusivity. |
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199 | !! -5- Smoothing |
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200 | !! |
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201 | !! N.B. The computation is done from jk=2 to jpkm1 |
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202 | !! Surface value of avt are set once a time to zero |
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203 | !! in routine zdf_osm_init. |
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204 | !! |
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205 | !! ** Action : update the non-local terms ghamts |
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206 | !! update avt (before vertical eddy coef.) |
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207 | !! |
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208 | !! References : Large W.G., Mc Williams J.C. and Doney S.C. |
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209 | !! Reviews of Geophysics, 32, 4, November 1994 |
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210 | !! Comments in the code refer to this paper, particularly |
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211 | !! the equation number. (LMD94, here after) |
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212 | !!---------------------------------------------------------------------- |
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213 | INTEGER , INTENT(in ) :: kt ! ocean time step |
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214 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: p_avm, p_avt ! momentum and tracer Kz (w-points) |
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215 | !! |
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216 | INTEGER :: ji, jj, jk ! dummy loop indices |
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217 | |
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218 | INTEGER :: jl ! dummy loop indices |
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219 | |
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220 | INTEGER :: ikbot, jkmax, jkm1, jkp2 ! |
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221 | |
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222 | REAL(wp) :: ztx, zty, zflageos, zstabl, zbuofdep,zucube ! |
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223 | REAL(wp) :: zbeta, zthermal ! |
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224 | REAL(wp) :: zehat, zeta, zhrib, zsig, zscale, zwst, zws, zwm ! Velocity scales |
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225 | REAL(wp) :: zwsun, zwmun, zcons, zconm, zwcons, zwconm ! |
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226 | |
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227 | REAL(wp) :: zsr, zbw, ze, zb, zd, zc, zaw, za, zb1, za1, zkw, zk0, zcomp , zrhd,zrhdr,zbvzed ! In situ density |
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228 | INTEGER :: jm ! dummy loop indices |
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229 | REAL(wp) :: zr1, zr2, zr3, zr4, zrhop ! Compression terms |
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230 | REAL(wp) :: zflag, zrn2, zdep21, zdep32, zdep43 |
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231 | REAL(wp) :: zesh2, zri, zfri ! Interior richardson mixing |
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232 | REAL(wp) :: zdelta, zdelta2, zdzup, zdzdn, zdzh, zvath, zgat1, zdat1, zkm1m, zkm1t |
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233 | REAL(wp) :: zt,zs,zu,zv,zrh ! variables used in constructing averages |
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234 | ! Scales |
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235 | REAL(wp), DIMENSION(jpi,jpj) :: zrad0 ! Surface solar temperature flux (deg m/s) |
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236 | REAL(wp), DIMENSION(jpi,jpj) :: zradh ! Radiative flux at bl base (Buoyancy units) |
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237 | REAL(wp), DIMENSION(jpi,jpj) :: zradav ! Radiative flux, bl average (Buoyancy Units) |
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238 | REAL(wp), DIMENSION(jpi,jpj) :: zustar ! friction velocity |
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239 | REAL(wp), DIMENSION(jpi,jpj) :: zwstrl ! Langmuir velocity scale |
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240 | REAL(wp), DIMENSION(jpi,jpj) :: zvstr ! Velocity scale that ends to zustar for large Langmuir number. |
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241 | REAL(wp), DIMENSION(jpi,jpj) :: zwstrc ! Convective velocity scale |
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242 | REAL(wp), DIMENSION(jpi,jpj) :: zuw0 ! Surface u-momentum flux |
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243 | REAL(wp), DIMENSION(jpi,jpj) :: zvw0 ! Surface v-momentum flux |
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244 | REAL(wp), DIMENSION(jpi,jpj) :: zwth0 ! Surface heat flux (Kinematic) |
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245 | REAL(wp), DIMENSION(jpi,jpj) :: zws0 ! Surface freshwater flux |
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246 | REAL(wp), DIMENSION(jpi,jpj) :: zwb0 ! Surface buoyancy flux |
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247 | REAL(wp), DIMENSION(jpi,jpj) :: zwthav ! Heat flux - bl average |
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248 | REAL(wp), DIMENSION(jpi,jpj) :: zwsav ! freshwater flux - bl average |
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249 | REAL(wp), DIMENSION(jpi,jpj) :: zwbav ! Buoyancy flux - bl average |
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250 | REAL(wp), DIMENSION(jpi,jpj) :: zwb_ent ! Buoyancy entrainment flux |
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251 | |
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252 | |
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253 | REAL(wp), DIMENSION(jpi,jpj) :: zwb_fk_b ! MLE buoyancy flux averaged over OSBL |
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254 | REAL(wp), DIMENSION(jpi,jpj) :: zwb_fk ! max MLE buoyancy flux |
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255 | REAL(wp), DIMENSION(jpi,jpj) :: zdiff_mle ! extra MLE vertical diff |
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256 | REAL(wp), DIMENSION(jpi,jpj) :: zvel_mle ! velocity scale for dhdt with stable ML and FK |
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257 | |
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258 | REAL(wp), DIMENSION(jpi,jpj) :: zustke ! Surface Stokes drift |
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259 | REAL(wp), DIMENSION(jpi,jpj) :: zla ! Trubulent Langmuir number |
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260 | REAL(wp), DIMENSION(jpi,jpj) :: zcos_wind ! Cos angle of surface stress |
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261 | REAL(wp), DIMENSION(jpi,jpj) :: zsin_wind ! Sin angle of surface stress |
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262 | REAL(wp), DIMENSION(jpi,jpj) :: zhol ! Stability parameter for boundary layer |
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263 | LOGICAL, DIMENSION(jpi,jpj) :: lconv ! unstable/stable bl |
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264 | |
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265 | ! mixed-layer variables |
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266 | |
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267 | INTEGER, DIMENSION(jpi,jpj) :: ibld ! level of boundary layer base |
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268 | INTEGER, DIMENSION(jpi,jpj) :: imld ! level of mixed-layer depth (pycnocline top) |
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269 | |
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270 | REAL(wp) :: ztgrad,zsgrad,zbgrad ! Temporary variables used to calculate pycnocline gradients |
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271 | REAL(wp) :: zugrad,zvgrad ! temporary variables for calculating pycnocline shear |
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272 | |
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273 | REAL(wp), DIMENSION(jpi,jpj) :: zhbl ! bl depth - grid |
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274 | REAL(wp), DIMENSION(jpi,jpj) :: zhml ! ml depth - grid |
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275 | |
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276 | REAL(wp), DIMENSION(jpi,jpj) :: zhmle ! MLE depth - grid |
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277 | REAL(wp), DIMENSION(jpi,jpj) :: zmld ! ML depth on grid |
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278 | |
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279 | REAL(wp), DIMENSION(jpi,jpj) :: zdh ! pycnocline depth - grid |
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280 | REAL(wp), DIMENSION(jpi,jpj) :: zdhdt ! BL depth tendency |
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281 | REAL(wp), DIMENSION(jpi,jpj) :: zdhdt_2 ! correction to dhdt due to internal structure. |
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282 | REAL(wp), DIMENSION(jpi,jpj) :: zdtdz_ext,zdsdz_ext,zdbdz_ext ! external temperature/salinity and buoyancy gradients |
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283 | |
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284 | REAL(wp), DIMENSION(jpi,jpj) :: zdtdx, zdtdy, zdsdx, zdsdy ! horizontal gradients for Fox-Kemper parametrization. |
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285 | |
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286 | REAL(wp), DIMENSION(jpi,jpj) :: zt_bl,zs_bl,zu_bl,zv_bl,zrh_bl ! averages over the depth of the blayer |
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287 | REAL(wp), DIMENSION(jpi,jpj) :: zt_ml,zs_ml,zu_ml,zv_ml,zrh_ml ! averages over the depth of the mixed layer |
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288 | REAL(wp), DIMENSION(jpi,jpj) :: zdt_bl,zds_bl,zdu_bl,zdv_bl,zdrh_bl,zdb_bl ! difference between blayer average and parameter at base of blayer |
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289 | REAL(wp), DIMENSION(jpi,jpj) :: zdt_ml,zds_ml,zdu_ml,zdv_ml,zdrh_ml,zdb_ml ! difference between mixed layer average and parameter at base of blayer |
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290 | REAL(wp), DIMENSION(jpi,jpj) :: zwth_ent,zws_ent ! heat and salinity fluxes at the top of the pycnocline |
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291 | REAL(wp), DIMENSION(jpi,jpj) :: zuw_bse,zvw_bse ! momentum fluxes at the top of the pycnocline |
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292 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdtdz_pyc ! parametrized gradient of temperature in pycnocline |
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293 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdsdz_pyc ! parametrised gradient of salinity in pycnocline |
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294 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdbdz_pyc ! parametrised gradient of buoyancy in the pycnocline |
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295 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdudz_pyc ! u-shear across the pycnocline |
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296 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdvdz_pyc ! v-shear across the pycnocline |
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297 | |
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298 | ! Flux-gradient relationship variables |
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299 | |
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300 | REAL(wp) :: zl_c,zl_l,zl_eps ! Used to calculate turbulence length scale. |
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301 | |
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302 | REAL(wp), DIMENSION(jpi,jpj) :: zdifml_sc,zvisml_sc,zdifpyc_sc,zvispyc_sc,zbeta_d_sc,zbeta_v_sc ! Scales for eddy diffusivity/viscosity |
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303 | REAL(wp), DIMENSION(jpi,jpj) :: zsc_wth_1,zsc_ws_1 ! Temporary scales used to calculate scalar non-gradient terms. |
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304 | REAL(wp), DIMENSION(jpi,jpj) :: zsc_uw_1,zsc_uw_2,zsc_vw_1,zsc_vw_2 ! Temporary scales for non-gradient momentum flux terms. |
---|
305 | REAL(wp), DIMENSION(jpi,jpj) :: zhbl_t ! holds boundary layer depth updated by full timestep |
---|
306 | |
---|
307 | ! For calculating Ri#-dependent mixing |
---|
308 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: z3du ! u-shear^2 |
---|
309 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: z3dv ! v-shear^2 |
---|
310 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zrimix ! spatial form of ri#-induced diffusion |
---|
311 | |
---|
312 | ! Temporary variables |
---|
313 | INTEGER :: inhml |
---|
314 | REAL(wp) :: znd,znd_d,zznd_ml,zznd_pyc,zznd_d ! temporary non-dimensional depths used in various routines |
---|
315 | REAL(wp) :: ztemp, zari, zpert, zzdhdt, zdb ! temporary variables |
---|
316 | REAL(wp) :: zthick, zz0, zz1 ! temporary variables |
---|
317 | REAL(wp) :: zvel_max, zhbl_s ! temporary variables |
---|
318 | REAL(wp) :: zfac ! temporary variable |
---|
319 | REAL(wp) :: zus_x, zus_y ! temporary Stokes drift |
---|
320 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zviscos ! viscosity |
---|
321 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdiffut ! t-diffusivity |
---|
322 | |
---|
323 | INTEGER :: ibld_ext=0 ! does not have to be zero for modified scheme |
---|
324 | REAL(wp) :: zwb_min, zgamma_b_nd, zgamma_b, zdhoh, ztau, zddhdt |
---|
325 | REAL(wp) :: zzeta_s = 0._wp |
---|
326 | REAL(wp) :: zzeta_v = 0.46 |
---|
327 | REAL(wp) :: zabsstke |
---|
328 | REAL(wp) :: zsqrtpi, z_two_thirds, zproportion, ztransp, zthickness |
---|
329 | REAL(wp) :: z2k_times_thickness, zsqrt_depth, zexp_depth, zdstokes0, zf, zexperfc |
---|
330 | |
---|
331 | ! For debugging |
---|
332 | INTEGER :: ikt |
---|
333 | !!-------------------------------------------------------------------- |
---|
334 | ! |
---|
335 | ibld(:,:) = 0 ; imld(:,:) = 0 |
---|
336 | zrad0(:,:) = 0._wp ; zradh(:,:) = 0._wp ; zradav(:,:) = 0._wp ; zustar(:,:) = 0._wp |
---|
337 | zwstrl(:,:) = 0._wp ; zvstr(:,:) = 0._wp ; zwstrc(:,:) = 0._wp ; zuw0(:,:) = 0._wp |
---|
338 | zvw0(:,:) = 0._wp ; zwth0(:,:) = 0._wp ; zws0(:,:) = 0._wp ; zwb0(:,:) = 0._wp |
---|
339 | zwthav(:,:) = 0._wp ; zwsav(:,:) = 0._wp ; zwbav(:,:) = 0._wp ; zwb_ent(:,:) = 0._wp |
---|
340 | zustke(:,:) = 0._wp ; zla(:,:) = 0._wp ; zcos_wind(:,:) = 0._wp ; zsin_wind(:,:) = 0._wp |
---|
341 | zhol(:,:) = 0._wp |
---|
342 | lconv(:,:) = .FALSE. |
---|
343 | ! mixed layer |
---|
344 | ! no initialization of zhbl or zhml (or zdh?) |
---|
345 | zhbl(:,:) = 1._wp ; zhml(:,:) = 1._wp ; zdh(:,:) = 1._wp ; zdhdt(:,:) = 0._wp |
---|
346 | zt_bl(:,:) = 0._wp ; zs_bl(:,:) = 0._wp ; zu_bl(:,:) = 0._wp ; zv_bl(:,:) = 0._wp |
---|
347 | zrh_bl(:,:) = 0._wp ; zt_ml(:,:) = 0._wp ; zs_ml(:,:) = 0._wp ; zu_ml(:,:) = 0._wp |
---|
348 | |
---|
349 | zv_ml(:,:) = 0._wp ; zrh_ml(:,:) = 0._wp ; zdt_bl(:,:) = 0._wp ; zds_bl(:,:) = 0._wp |
---|
350 | zdu_bl(:,:) = 0._wp ; zdv_bl(:,:) = 0._wp ; zdrh_bl(:,:) = 0._wp ; zdb_bl(:,:) = 0._wp |
---|
351 | zdt_ml(:,:) = 0._wp ; zds_ml(:,:) = 0._wp ; zdu_ml(:,:) = 0._wp ; zdv_ml(:,:) = 0._wp |
---|
352 | zdrh_ml(:,:) = 0._wp ; zdb_ml(:,:) = 0._wp ; zwth_ent(:,:) = 0._wp ; zws_ent(:,:) = 0._wp |
---|
353 | zuw_bse(:,:) = 0._wp ; zvw_bse(:,:) = 0._wp |
---|
354 | ! |
---|
355 | zdtdz_pyc(:,:,:) = 0._wp ; zdsdz_pyc(:,:,:) = 0._wp ; zdbdz_pyc(:,:,:) = 0._wp |
---|
356 | zdudz_pyc(:,:,:) = 0._wp ; zdvdz_pyc(:,:,:) = 0._wp |
---|
357 | ! |
---|
358 | zdtdz_ext(:,:) = 0._wp ; zdsdz_ext(:,:) = 0._wp ; zdbdz_ext(:,:) = 0._wp |
---|
359 | |
---|
360 | IF ( ln_osm_mle ) THEN ! only initialise arrays if needed |
---|
361 | zdtdx(:,:) = 0._wp ; zdtdy(:,:) = 0._wp ; zdsdx(:,:) = 0._wp |
---|
362 | zdsdy(:,:) = 0._wp ; dbdx_mle(:,:) = 0._wp ; dbdy_mle(:,:) = 0._wp |
---|
363 | zwb_fk(:,:) = 0._wp ; zvel_mle(:,:) = 0._wp; zdiff_mle(:,:) = 0._wp |
---|
364 | zhmle(:,:) = 0._wp ; zmld(:,:) = 0._wp |
---|
365 | ENDIF |
---|
366 | zwb_fk_b(:,:) = 0._wp ! must be initialised even with ln_osm_mle=F as used in zdf_osm_calculate_dhdt |
---|
367 | |
---|
368 | ! Flux-Gradient arrays. |
---|
369 | zdifml_sc(:,:) = 0._wp ; zvisml_sc(:,:) = 0._wp ; zdifpyc_sc(:,:) = 0._wp |
---|
370 | zvispyc_sc(:,:) = 0._wp ; zbeta_d_sc(:,:) = 0._wp ; zbeta_v_sc(:,:) = 0._wp |
---|
371 | zsc_wth_1(:,:) = 0._wp ; zsc_ws_1(:,:) = 0._wp ; zsc_uw_1(:,:) = 0._wp |
---|
372 | zsc_uw_2(:,:) = 0._wp ; zsc_vw_1(:,:) = 0._wp ; zsc_vw_2(:,:) = 0._wp |
---|
373 | zhbl_t(:,:) = 0._wp ; zdhdt(:,:) = 0._wp |
---|
374 | |
---|
375 | zdiffut(:,:,:) = 0._wp ; zviscos(:,:,:) = 0._wp ; ghamt(:,:,:) = 0._wp |
---|
376 | ghams(:,:,:) = 0._wp ; ghamu(:,:,:) = 0._wp ; ghamv(:,:,:) = 0._wp |
---|
377 | |
---|
378 | zdhdt_2(:,:) = 0._wp |
---|
379 | ! hbl = MAX(hbl,epsln) |
---|
380 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
381 | ! Calculate boundary layer scales |
---|
382 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
383 | |
---|
384 | ! Assume two-band radiation model for depth of OSBL |
---|
385 | zz0 = rn_abs ! surface equi-partition in 2-bands |
---|
386 | zz1 = 1. - rn_abs |
---|
387 | DO jj = 2, jpjm1 |
---|
388 | DO ji = 2, jpim1 |
---|
389 | ! Surface downward irradiance (so always +ve) |
---|
390 | zrad0(ji,jj) = qsr(ji,jj) * r1_rau0_rcp |
---|
391 | ! Downwards irradiance at base of boundary layer |
---|
392 | zradh(ji,jj) = zrad0(ji,jj) * ( zz0 * EXP( -hbl(ji,jj)/rn_si0 ) + zz1 * EXP( -hbl(ji,jj)/rn_si1) ) |
---|
393 | ! Downwards irradiance averaged over depth of the OSBL |
---|
394 | zradav(ji,jj) = zrad0(ji,jj) * ( zz0 * ( 1.0 - EXP( -hbl(ji,jj)/rn_si0 ) )*rn_si0 & |
---|
395 | & + zz1 * ( 1.0 - EXP( -hbl(ji,jj)/rn_si1 ) )*rn_si1 ) / hbl(ji,jj) |
---|
396 | END DO |
---|
397 | END DO |
---|
398 | ! Turbulent surface fluxes and fluxes averaged over depth of the OSBL |
---|
399 | DO jj = 2, jpjm1 |
---|
400 | DO ji = 2, jpim1 |
---|
401 | zthermal = rab_n(ji,jj,1,jp_tem) |
---|
402 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
403 | ! Upwards surface Temperature flux for non-local term |
---|
404 | zwth0(ji,jj) = - qns(ji,jj) * r1_rau0_rcp * tmask(ji,jj,1) |
---|
405 | ! Upwards surface salinity flux for non-local term |
---|
406 | zws0(ji,jj) = - ( ( emp(ji,jj)-rnf(ji,jj) ) * tsn(ji,jj,1,jp_sal) + sfx(ji,jj) ) * r1_rau0 * tmask(ji,jj,1) |
---|
407 | ! Non radiative upwards surface buoyancy flux |
---|
408 | zwb0(ji,jj) = grav * zthermal * zwth0(ji,jj) - grav * zbeta * zws0(ji,jj) |
---|
409 | ! turbulent heat flux averaged over depth of OSBL |
---|
410 | zwthav(ji,jj) = 0.5 * zwth0(ji,jj) - ( 0.5*( zrad0(ji,jj) + zradh(ji,jj) ) - zradav(ji,jj) ) |
---|
411 | ! turbulent salinity flux averaged over depth of the OBSL |
---|
412 | zwsav(ji,jj) = 0.5 * zws0(ji,jj) |
---|
413 | ! turbulent buoyancy flux averaged over the depth of the OBSBL |
---|
414 | zwbav(ji,jj) = grav * zthermal * zwthav(ji,jj) - grav * zbeta * zwsav(ji,jj) |
---|
415 | ! Surface upward velocity fluxes |
---|
416 | zuw0(ji,jj) = - 0.5 * (utau(ji-1,jj) + utau(ji,jj)) * r1_rau0 * tmask(ji,jj,1) |
---|
417 | zvw0(ji,jj) = - 0.5 * (vtau(ji,jj-1) + vtau(ji,jj)) * r1_rau0 * tmask(ji,jj,1) |
---|
418 | ! Friction velocity (zustar), at T-point : LMD94 eq. 2 |
---|
419 | zustar(ji,jj) = MAX( SQRT( SQRT( zuw0(ji,jj) * zuw0(ji,jj) + zvw0(ji,jj) * zvw0(ji,jj) ) ), 1.0e-8 ) |
---|
420 | zcos_wind(ji,jj) = -zuw0(ji,jj) / ( zustar(ji,jj) * zustar(ji,jj) ) |
---|
421 | zsin_wind(ji,jj) = -zvw0(ji,jj) / ( zustar(ji,jj) * zustar(ji,jj) ) |
---|
422 | END DO |
---|
423 | END DO |
---|
424 | ! Calculate Stokes drift in direction of wind (zustke) and Stokes penetration depth (dstokes) |
---|
425 | SELECT CASE (nn_osm_wave) |
---|
426 | ! Assume constant La#=0.3 |
---|
427 | CASE(0) |
---|
428 | DO jj = 2, jpjm1 |
---|
429 | DO ji = 2, jpim1 |
---|
430 | zus_x = zcos_wind(ji,jj) * zustar(ji,jj) / 0.3**2 |
---|
431 | zus_y = zsin_wind(ji,jj) * zustar(ji,jj) / 0.3**2 |
---|
432 | ! Linearly |
---|
433 | zustke(ji,jj) = MAX ( SQRT( zus_x*zus_x + zus_y*zus_y), 1.0e-8 ) |
---|
434 | dstokes(ji,jj) = rn_osm_dstokes |
---|
435 | END DO |
---|
436 | END DO |
---|
437 | ! Assume Pierson-Moskovitz wind-wave spectrum |
---|
438 | CASE(1) |
---|
439 | DO jj = 2, jpjm1 |
---|
440 | DO ji = 2, jpim1 |
---|
441 | ! Use wind speed wndm included in sbc_oce module |
---|
442 | zustke(ji,jj) = MAX ( 0.016 * wndm(ji,jj), 1.0e-8 ) |
---|
443 | dstokes(ji,jj) = MAX ( 0.12 * wndm(ji,jj)**2 / grav, 5.e-1) |
---|
444 | END DO |
---|
445 | END DO |
---|
446 | ! Use ECMWF wave fields as output from SBCWAVE |
---|
447 | CASE(2) |
---|
448 | zfac = 2.0_wp * rpi / 16.0_wp |
---|
449 | |
---|
450 | DO jj = 2, jpjm1 |
---|
451 | DO ji = 2, jpim1 |
---|
452 | IF (hsw(ji,jj) > 1.e-4) THEN |
---|
453 | ! Use wave fields |
---|
454 | zabsstke = SQRT(ut0sd(ji,jj)**2 + vt0sd(ji,jj)**2) |
---|
455 | zustke(ji,jj) = MAX ( ( zcos_wind(ji,jj) * ut0sd(ji,jj) + zsin_wind(ji,jj) * vt0sd(ji,jj) ), 1.0e-8) |
---|
456 | dstokes(ji,jj) = MAX (zfac * hsw(ji,jj)*hsw(ji,jj) / ( MAX(zabsstke * wmp(ji,jj), 1.0e-7 ) ), 5.0e-1) |
---|
457 | ELSE |
---|
458 | ! Assume masking issue (e.g. ice in ECMWF reanalysis but not in model run) |
---|
459 | ! .. so default to Pierson-Moskowitz |
---|
460 | zustke(ji,jj) = MAX ( 0.016 * wndm(ji,jj), 1.0e-8 ) |
---|
461 | dstokes(ji,jj) = MAX ( 0.12 * wndm(ji,jj)**2 / grav, 5.e-1) |
---|
462 | END IF |
---|
463 | END DO |
---|
464 | END DO |
---|
465 | END SELECT |
---|
466 | |
---|
467 | IF (ln_zdfosm_ice_shelter) THEN |
---|
468 | ! Reduce both Stokes drift and its depth scale by ocean fraction to represent sheltering by ice |
---|
469 | DO jj = 2, jpjm1 |
---|
470 | DO ji = 2, jpim1 |
---|
471 | zustke(ji,jj) = zustke(ji,jj) * (1.0_wp - fr_i(ji,jj)) |
---|
472 | dstokes(ji,jj) = dstokes(ji,jj) * (1.0_wp - fr_i(ji,jj)) |
---|
473 | END DO |
---|
474 | END DO |
---|
475 | END IF |
---|
476 | |
---|
477 | SELECT CASE (nn_osm_SD_reduce) |
---|
478 | ! Reduce surface Stokes drift by a constant factor or following Breivik (2016) + van Roekel (2012) or Grant (2020). |
---|
479 | CASE(0) |
---|
480 | ! The Langmur number from the ECMWF model (or from PM) appears to give La<0.3 for wind-driven seas. |
---|
481 | ! The coefficient rn_zdfosm_adjust_sd = 0.8 gives La=0.3 in this situation. |
---|
482 | ! It could represent the effects of the spread of wave directions |
---|
483 | ! around the mean wind. The effect of this adjustment needs to be tested. |
---|
484 | IF(nn_osm_wave > 0) THEN |
---|
485 | zustke(2:jpim1,2:jpjm1) = rn_zdfosm_adjust_sd * zustke(2:jpim1,2:jpjm1) |
---|
486 | END IF |
---|
487 | CASE(1) |
---|
488 | ! van Roekel (2012): consider average SD over top 10% of boundary layer |
---|
489 | ! assumes approximate depth profile of SD from Breivik (2016) |
---|
490 | zsqrtpi = SQRT(rpi) |
---|
491 | z_two_thirds = 2.0_wp / 3.0_wp |
---|
492 | |
---|
493 | DO jj = 2, jpjm1 |
---|
494 | DO ji = 2, jpim1 |
---|
495 | zthickness = rn_osm_hblfrac*hbl(ji,jj) |
---|
496 | z2k_times_thickness = zthickness * 2.0_wp / MAX( ABS( 5.97_wp * dstokes(ji,jj) ), 0.0000001_wp ) |
---|
497 | zsqrt_depth = SQRT(z2k_times_thickness) |
---|
498 | zexp_depth = EXP(-z2k_times_thickness) |
---|
499 | zustke(ji,jj) = zustke(ji,jj) * (1.0_wp - zexp_depth & |
---|
500 | & - z_two_thirds * ( zsqrtpi*zsqrt_depth*z2k_times_thickness * ERFC(zsqrt_depth) & |
---|
501 | & + 1.0_wp - (1.0_wp + z2k_times_thickness)*zexp_depth ) ) / z2k_times_thickness |
---|
502 | |
---|
503 | END DO |
---|
504 | END DO |
---|
505 | CASE(2) |
---|
506 | ! Grant (2020): Match to exponential with same SD and d/dz(Sd) at depth 10% of boundary layer |
---|
507 | ! assumes approximate depth profile of SD from Breivik (2016) |
---|
508 | zsqrtpi = SQRT(rpi) |
---|
509 | |
---|
510 | DO jj = 2, jpjm1 |
---|
511 | DO ji = 2, jpim1 |
---|
512 | zthickness = rn_osm_hblfrac*hbl(ji,jj) |
---|
513 | z2k_times_thickness = zthickness * 2.0_wp / MAX( ABS( 5.97_wp * dstokes(ji,jj) ), 0.0000001_wp ) |
---|
514 | |
---|
515 | IF(z2k_times_thickness < 50._wp) THEN |
---|
516 | zsqrt_depth = SQRT(z2k_times_thickness) |
---|
517 | zexperfc = zsqrtpi * zsqrt_depth * ERFC(zsqrt_depth) * EXP(z2k_times_thickness) |
---|
518 | ELSE |
---|
519 | ! asymptotic expansion of sqrt(pi)*zsqrt_depth*EXP(z2k_times_thickness)*ERFC(zsqrt_depth) for large z2k_times_thickness |
---|
520 | ! See Abramowitz and Stegun, Eq. 7.1.23 |
---|
521 | ! zexperfc = 1._wp - (1/2)/(z2k_times_thickness) + (3/4)/(z2k_times_thickness**2) - (15/8)/(z2k_times_thickness**3) |
---|
522 | zexperfc = ((- 1.875_wp/z2k_times_thickness + 0.75_wp)/z2k_times_thickness - 0.5_wp)/z2k_times_thickness + 1.0_wp |
---|
523 | END IF |
---|
524 | zf = z2k_times_thickness*(1.0_wp/zexperfc - 1.0_wp) |
---|
525 | dstokes(ji,jj) = 5.97 * zf * dstokes(ji,jj) |
---|
526 | zustke(ji,jj) = zustke(ji,jj) * EXP(z2k_times_thickness * ( 1.0_wp / (2. * zf) - 1.0_wp )) * ( 1.0_wp - zexperfc) |
---|
527 | END DO |
---|
528 | END DO |
---|
529 | END SELECT |
---|
530 | |
---|
531 | ! Langmuir velocity scale (zwstrl), La # (zla) |
---|
532 | ! mixed scale (zvstr), convective velocity scale (zwstrc) |
---|
533 | DO jj = 2, jpjm1 |
---|
534 | DO ji = 2, jpim1 |
---|
535 | ! Langmuir velocity scale (zwstrl), at T-point |
---|
536 | zwstrl(ji,jj) = ( zustar(ji,jj) * zustar(ji,jj) * zustke(ji,jj) )**pthird |
---|
537 | zla(ji,jj) = MAX(MIN(SQRT ( zustar(ji,jj) / ( zwstrl(ji,jj) + epsln ) )**3, 4.0), 0.2) |
---|
538 | IF(zla(ji,jj) > 0.45) dstokes(ji,jj) = MIN(dstokes(ji,jj), 0.5_wp*hbl(ji,jj)) |
---|
539 | ! Velocity scale that tends to zustar for large Langmuir numbers |
---|
540 | zvstr(ji,jj) = ( zwstrl(ji,jj)**3 + & |
---|
541 | & ( 1.0 - EXP( -0.5 * zla(ji,jj)**2 ) ) * zustar(ji,jj) * zustar(ji,jj) * zustar(ji,jj) )**pthird |
---|
542 | |
---|
543 | ! limit maximum value of Langmuir number as approximate treatment for shear turbulence. |
---|
544 | ! Note zustke and zwstrl are not amended. |
---|
545 | ! |
---|
546 | ! get convective velocity (zwstrc), stabilty scale (zhol) and logical conection flag lconv |
---|
547 | IF ( zwbav(ji,jj) > 0.0) THEN |
---|
548 | zwstrc(ji,jj) = ( 2.0 * zwbav(ji,jj) * 0.9 * hbl(ji,jj) )**pthird |
---|
549 | zhol(ji,jj) = -0.9 * hbl(ji,jj) * 2.0 * zwbav(ji,jj) / (zvstr(ji,jj)**3 + epsln ) |
---|
550 | lconv(ji,jj) = .TRUE. |
---|
551 | ELSE |
---|
552 | zhol(ji,jj) = -hbl(ji,jj) * 2.0 * zwbav(ji,jj)/ (zvstr(ji,jj)**3 + epsln ) |
---|
553 | lconv(ji,jj) = .FALSE. |
---|
554 | ENDIF |
---|
555 | END DO |
---|
556 | END DO |
---|
557 | |
---|
558 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
559 | ! Mixed-layer model - calculate averages over the boundary layer, and the change in the boundary layer depth |
---|
560 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
561 | ! BL must be always 4 levels deep. |
---|
562 | ! For calculation of lateral buoyancy gradients for FK in |
---|
563 | ! zdf_osm_zmld_horizontal_gradients need halo values for ibld, so must |
---|
564 | ! previously exist for hbl also. |
---|
565 | |
---|
566 | ! agn 23/6/20: not clear all this is needed, as hbl checked after it is re-calculated anyway |
---|
567 | ! ########################################################################## |
---|
568 | hbl(:,:) = MAX(hbl(:,:), gdepw_n(:,:,4) ) |
---|
569 | ibld(:,:) = 4 |
---|
570 | DO jk = 5, jpkm1 |
---|
571 | DO jj = 1, jpj |
---|
572 | DO ji = 1, jpi |
---|
573 | IF ( hbl(ji,jj) >= gdepw_n(ji,jj,jk) ) THEN |
---|
574 | ibld(ji,jj) = MIN(mbkt(ji,jj), jk) |
---|
575 | ENDIF |
---|
576 | END DO |
---|
577 | END DO |
---|
578 | END DO |
---|
579 | ! ########################################################################## |
---|
580 | |
---|
581 | DO jj = 2, jpjm1 |
---|
582 | DO ji = 2, jpim1 |
---|
583 | zhbl(ji,jj) = gdepw_n(ji,jj,ibld(ji,jj)) |
---|
584 | imld(ji,jj) = MAX(3,ibld(ji,jj) - MAX( INT( dh(ji,jj) / e3t_n(ji, jj, ibld(ji,jj) )) , 1 )) |
---|
585 | zhml(ji,jj) = gdepw_n(ji,jj,imld(ji,jj)) |
---|
586 | END DO |
---|
587 | END DO |
---|
588 | ! Averages over well-mixed and boundary layer |
---|
589 | ! Alan: do we need zb_nl?, zb_ml? |
---|
590 | CALL zdf_osm_vertical_average(ibld, zt_bl, zs_bl, zu_bl, zv_bl, zdt_bl, zds_bl, zdb_bl, zdu_bl, zdv_bl) |
---|
591 | CALL zdf_osm_vertical_average(imld, zt_ml, zs_ml, zu_ml, zv_ml, zdt_ml, zds_ml, zdb_ml, zdu_ml, zdv_ml) |
---|
592 | ! External gradient |
---|
593 | CALL zdf_osm_external_gradients( zdtdz_ext, zdsdz_ext, zdbdz_ext ) |
---|
594 | |
---|
595 | |
---|
596 | IF ( ln_osm_mle ) THEN |
---|
597 | CALL zdf_osm_zmld_horizontal_gradients( zmld, zdtdx, zdtdy, zdsdx, zdsdy, dbdx_mle, dbdy_mle ) |
---|
598 | CALL zdf_osm_mle_parameters( hmle, zwb_fk, zvel_mle, zdiff_mle ) |
---|
599 | ENDIF |
---|
600 | |
---|
601 | ! Rate of change of hbl |
---|
602 | CALL zdf_osm_calculate_dhdt( zdhdt, zdhdt_2 ) |
---|
603 | ! Calculate averages over depth of boundary layer |
---|
604 | DO jj = 2, jpjm1 |
---|
605 | DO ji = 2, jpim1 |
---|
606 | zhbl_t(ji,jj) = hbl(ji,jj) + (zdhdt(ji,jj) - wn(ji,jj,ibld(ji,jj)))* rn_rdt ! certainly need wn here, so subtract it |
---|
607 | ! adjustment to represent limiting by ocean bottom |
---|
608 | zhbl_t(ji,jj) = MIN(zhbl_t(ji,jj), gdepw_n(ji,jj, mbkt(ji,jj) + 1) - depth_tol)! ht_n(:,:)) |
---|
609 | END DO |
---|
610 | END DO |
---|
611 | |
---|
612 | imld(:,:) = ibld(:,:) ! use imld to hold previous blayer index |
---|
613 | ibld(:,:) = 4 |
---|
614 | |
---|
615 | DO jk = 4, jpkm1 |
---|
616 | DO jj = 2, jpjm1 |
---|
617 | DO ji = 2, jpim1 |
---|
618 | IF ( zhbl_t(ji,jj) >= gdepw_n(ji,jj,jk) ) THEN |
---|
619 | ibld(ji,jj) = jk |
---|
620 | ENDIF |
---|
621 | END DO |
---|
622 | END DO |
---|
623 | END DO |
---|
624 | |
---|
625 | ! |
---|
626 | ! Step through model levels taking account of buoyancy change to determine the effect on dhdt |
---|
627 | ! |
---|
628 | CALL zdf_osm_timestep_hbl( zdhdt, zdhdt_2 ) |
---|
629 | ! Alan: do we need zb_ml? |
---|
630 | CALL zdf_osm_vertical_average( ibld, zt_bl, zs_bl, zu_bl, zv_bl, zdt_bl, zds_bl, zdb_bl, zdu_bl, zdv_bl ) |
---|
631 | ! |
---|
632 | ! |
---|
633 | CALL zdf_osm_pycnocline_thickness( dh, zdh ) |
---|
634 | dstokes(:,:) = MIN ( dstokes(:,:), hbl(:,:)/3. ) ! Limit delta for shallow boundary layers for calculating flux-gradient terms. |
---|
635 | ! |
---|
636 | ! Average over the depth of the mixed layer in the convective boundary layer |
---|
637 | ! Alan: do we need zb_ml? |
---|
638 | CALL zdf_osm_vertical_average( imld, zt_ml, zs_ml, zu_ml, zv_ml, zdt_ml, zds_ml, zdb_ml, zdu_ml, zdv_ml ) |
---|
639 | ! rotate mean currents and changes onto wind align co-ordinates |
---|
640 | ! |
---|
641 | CALL zdf_osm_velocity_rotation( zcos_wind, zsin_wind, zu_ml, zv_ml, zdu_ml, zdv_ml ) |
---|
642 | CALL zdf_osm_velocity_rotation( zcos_wind, zsin_wind, zu_bl, zv_bl, zdu_bl, zdv_bl ) |
---|
643 | zuw_bse = 0._wp |
---|
644 | zvw_bse = 0._wp |
---|
645 | zwth_ent = 0._wp |
---|
646 | zws_ent = 0._wp |
---|
647 | DO jj = 2, jpjm1 |
---|
648 | DO ji = 2, jpim1 |
---|
649 | IF ( ibld(ji,jj) < mbkt(ji,jj) ) THEN |
---|
650 | IF ( lconv(ji,jj) ) THEN |
---|
651 | zuw_bse(ji,jj) = -0.0075*((zvstr(ji,jj)**3+0.5*zwstrc(ji,jj)**3)**pthird*zdu_ml(ji,jj) + & |
---|
652 | & 1.5*zustar(ji,jj)**2*(zhbl(ji,jj)-zhml(ji,jj)) )/ & |
---|
653 | & ( zhml(ji,jj)*MIN(zla(ji,jj)**(8./3.),1.) + epsln) |
---|
654 | zvw_bse(ji,jj) = 0.01*(-(zvstr(ji,jj)**3+0.5*zwstrc(ji,jj)**3)**pthird*zdv_ml(ji,jj)+ & |
---|
655 | & 2.0*ff_t(ji,jj)*zustke(ji,jj)*dstokes(ji,jj)*zla(ji,jj)) |
---|
656 | IF ( zdb_ml(ji,jj) > 0._wp ) THEN |
---|
657 | zwth_ent(ji,jj) = zwb_ent(ji,jj) * zdt_ml(ji,jj) / (zdb_ml(ji,jj) + epsln) |
---|
658 | zws_ent(ji,jj) = zwb_ent(ji,jj) * zds_ml(ji,jj) / (zdb_ml(ji,jj) + epsln) |
---|
659 | ENDIF |
---|
660 | ELSE |
---|
661 | zwth_ent(ji,jj) = -2.0 * zwthav(ji,jj) * ( (1.0 - 0.8) - ( 1.0 - 0.8)**(3.0/2.0) ) |
---|
662 | zws_ent(ji,jj) = -2.0 * zwsav(ji,jj) * ( (1.0 - 0.8 ) - ( 1.0 - 0.8 )**(3.0/2.0) ) |
---|
663 | ENDIF |
---|
664 | ENDIF |
---|
665 | END DO |
---|
666 | END DO |
---|
667 | |
---|
668 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
669 | ! Pycnocline gradients for scalars and velocity |
---|
670 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
671 | |
---|
672 | CALL zdf_osm_external_gradients( zdtdz_ext, zdsdz_ext, zdbdz_ext ) |
---|
673 | CALL zdf_osm_pycnocline_scalar_profiles( zdtdz_pyc, zdsdz_pyc, zdbdz_pyc ) |
---|
674 | CALL zdf_osm_pycnocline_shear_profiles( zdudz_pyc, zdvdz_pyc ) |
---|
675 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
676 | ! Eddy viscosity/diffusivity and non-gradient terms in the flux-gradient relationship |
---|
677 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
678 | |
---|
679 | DO jj = 2, jpjm1 |
---|
680 | DO ji = 2, jpim1 |
---|
681 | IF ( lconv(ji,jj) ) THEN |
---|
682 | zdifml_sc(ji,jj) = zhml(ji,jj) * ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird |
---|
683 | zvisml_sc(ji,jj) = zdifml_sc(ji,jj) |
---|
684 | zdifpyc_sc(ji,jj) = 0.165 * ( zvstr(ji,jj)**3 + 0.5 *zwstrc(ji,jj)**3 )**pthird * zdh(ji,jj) |
---|
685 | zvispyc_sc(ji,jj) = 0.142 * ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird * zdh(ji,jj) |
---|
686 | zbeta_d_sc(ji,jj) = 1.0 - (0.165 / 0.8 * zdh(ji,jj) / zhbl(ji,jj) )**p2third |
---|
687 | zbeta_v_sc(ji,jj) = 1.0 - 2.0 * (0.142 /0.375) * zdh(ji,jj) / ( zhml(ji,jj) + epsln ) |
---|
688 | ELSE |
---|
689 | zdifml_sc(ji,jj) = zvstr(ji,jj) * zhbl(ji,jj) * MAX( EXP ( -( zhol(ji,jj) / 0.6_wp )**2 ), 0.2_wp) |
---|
690 | zvisml_sc(ji,jj) = zvstr(ji,jj) * zhbl(ji,jj) * MAX( EXP ( -( zhol(ji,jj) / 0.6_wp )**2 ), 0.2_wp) |
---|
691 | END IF |
---|
692 | END DO |
---|
693 | END DO |
---|
694 | ! |
---|
695 | DO jj = 2, jpjm1 |
---|
696 | DO ji = 2, jpim1 |
---|
697 | IF ( lconv(ji,jj) ) THEN |
---|
698 | DO jk = 2, imld(ji,jj) ! mixed layer diffusivity |
---|
699 | zznd_ml = gdepw_n(ji,jj,jk) / zhml(ji,jj) |
---|
700 | ! |
---|
701 | zdiffut(ji,jj,jk) = 0.8 * zdifml_sc(ji,jj) * zznd_ml * ( 1.0 - zbeta_d_sc(ji,jj) * zznd_ml )**1.5 |
---|
702 | ! |
---|
703 | zviscos(ji,jj,jk) = 0.375 * zvisml_sc(ji,jj) * zznd_ml * ( 1.0 - zbeta_v_sc(ji,jj) * zznd_ml ) & |
---|
704 | & * ( 1.0 - 0.5 * zznd_ml**2 ) |
---|
705 | END DO |
---|
706 | ! pycnocline - if present linear profile |
---|
707 | IF ( zdh(ji,jj) > 0._wp ) THEN |
---|
708 | zgamma_b = 6.0 |
---|
709 | DO jk = imld(ji,jj)+1 , ibld(ji,jj) |
---|
710 | zznd_pyc = -( gdepw_n(ji,jj,jk) - zhml(ji,jj) ) / zdh(ji,jj) |
---|
711 | ! |
---|
712 | zdiffut(ji,jj,jk) = zdifpyc_sc(ji,jj) * EXP( zgamma_b * zznd_pyc ) |
---|
713 | ! |
---|
714 | zviscos(ji,jj,jk) = zvispyc_sc(ji,jj) * EXP( zgamma_b * zznd_pyc ) |
---|
715 | END DO |
---|
716 | IF ( ibld_ext == 0 ) THEN |
---|
717 | zdiffut(ji,jj,ibld(ji,jj)) = 0._wp |
---|
718 | zviscos(ji,jj,ibld(ji,jj)) = 0._wp |
---|
719 | ELSE |
---|
720 | zdiffut(ji,jj,ibld(ji,jj)) = zdhdt(ji,jj) * ( hbl(ji,jj) - gdepw_n(ji, jj, ibld(ji,jj)-1) ) |
---|
721 | zviscos(ji,jj,ibld(ji,jj)) = zdhdt(ji,jj) * ( hbl(ji,jj) - gdepw_n(ji, jj, ibld(ji,jj)-1) ) |
---|
722 | ENDIF |
---|
723 | ENDIF |
---|
724 | ! Temporary fix to ensure zdiffut is +ve; won't be necessary with wn taken out |
---|
725 | zdiffut(ji,jj,ibld(ji,jj)) = MAX(zdhdt(ji,jj) * e3t_n(ji,jj,ibld(ji,jj)), 1.e-6) |
---|
726 | zviscos(ji,jj,ibld(ji,jj)) = MAX(zdhdt(ji,jj) * e3t_n(ji,jj,ibld(ji,jj)), 1.e-5) |
---|
727 | ! could be taken out, take account of entrainment represents as a diffusivity |
---|
728 | ! should remove w from here, represents entrainment |
---|
729 | ELSE |
---|
730 | ! stable conditions |
---|
731 | DO jk = 2, ibld(ji,jj) |
---|
732 | zznd_ml = gdepw_n(ji,jj,jk) / zhbl(ji,jj) |
---|
733 | zdiffut(ji,jj,jk) = 0.75 * zdifml_sc(ji,jj) * zznd_ml * ( 1.0 - zznd_ml )**1.5 |
---|
734 | zviscos(ji,jj,jk) = 0.375 * zvisml_sc(ji,jj) * zznd_ml * (1.0 - zznd_ml) * ( 1.0 - zznd_ml**2 ) |
---|
735 | END DO |
---|
736 | |
---|
737 | IF ( ibld_ext == 0 ) THEN |
---|
738 | zdiffut(ji,jj,ibld(ji,jj)) = 0._wp |
---|
739 | zviscos(ji,jj,ibld(ji,jj)) = 0._wp |
---|
740 | ELSE |
---|
741 | zdiffut(ji,jj,ibld(ji,jj)) = MAX(zdhdt(ji,jj), 0._wp) * e3w_n(ji, jj, ibld(ji,jj)) |
---|
742 | zviscos(ji,jj,ibld(ji,jj)) = MAX(zdhdt(ji,jj), 0._wp) * e3w_n(ji, jj, ibld(ji,jj)) |
---|
743 | ENDIF |
---|
744 | ENDIF ! end if ( lconv ) |
---|
745 | ! |
---|
746 | END DO ! end of ji loop |
---|
747 | END DO ! end of jj loop |
---|
748 | |
---|
749 | ! |
---|
750 | ! calculate non-gradient components of the flux-gradient relationships |
---|
751 | ! |
---|
752 | ! Stokes term in scalar flux, flux-gradient relationship |
---|
753 | WHERE ( lconv ) |
---|
754 | zsc_wth_1 = zwstrl**3 * zwth0 / ( zvstr**3 + 0.5 * zwstrc**3 + epsln) |
---|
755 | ! |
---|
756 | zsc_ws_1 = zwstrl**3 * zws0 / ( zvstr**3 + 0.5 * zwstrc**3 + epsln ) |
---|
757 | ELSEWHERE |
---|
758 | zsc_wth_1 = 2.0 * zwthav |
---|
759 | ! |
---|
760 | zsc_ws_1 = 2.0 * zwsav |
---|
761 | ENDWHERE |
---|
762 | |
---|
763 | |
---|
764 | DO jj = 2, jpjm1 |
---|
765 | DO ji = 2, jpim1 |
---|
766 | IF ( lconv(ji,jj) ) THEN |
---|
767 | DO jk = 2, imld(ji,jj) |
---|
768 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
---|
769 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 1.35 * EXP ( -zznd_d ) * ( 1.0 - EXP ( -2.0 * zznd_d ) ) * zsc_wth_1(ji,jj) |
---|
770 | ! |
---|
771 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 1.35 * EXP ( -zznd_d ) * ( 1.0 - EXP ( -2.0 * zznd_d ) ) * zsc_ws_1(ji,jj) |
---|
772 | END DO ! end jk loop |
---|
773 | ELSE ! else for if (lconv) |
---|
774 | ! Stable conditions |
---|
775 | DO jk = 2, ibld(ji,jj) |
---|
776 | zznd_d=gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
---|
777 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 1.5 * EXP ( -0.9 * zznd_d ) & |
---|
778 | & * ( 1.0 - EXP ( -4.0 * zznd_d ) ) * zsc_wth_1(ji,jj) |
---|
779 | ! |
---|
780 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 1.5 * EXP ( -0.9 * zznd_d ) & |
---|
781 | & * ( 1.0 - EXP ( -4.0 * zznd_d ) ) * zsc_ws_1(ji,jj) |
---|
782 | END DO |
---|
783 | ENDIF ! endif for check on lconv |
---|
784 | |
---|
785 | END DO ! end of ji loop |
---|
786 | END DO ! end of jj loop |
---|
787 | |
---|
788 | ! Stokes term in flux-gradient relationship (note in zsc_uw_n don't use zvstr since term needs to go to zero as zwstrl goes to zero) |
---|
789 | WHERE ( lconv ) |
---|
790 | zsc_uw_1 = ( zwstrl**3 + 0.5 * zwstrc**3 )**pthird * zustke / MAX( ( 1.0 - 1.0 * 6.5 * zla**(8.0/3.0) ), 0.2 ) |
---|
791 | zsc_uw_2 = ( zwstrl**3 + 0.5 * zwstrc**3 )**pthird * zustke / MIN( zla**(8.0/3.0) + epsln, 0.12 ) |
---|
792 | zsc_vw_1 = ff_t * zhml * zustke**3 * MIN( zla**(8.0/3.0), 0.12 ) / ( ( zvstr**3 + 0.5 * zwstrc**3 )**(2.0/3.0) + epsln ) |
---|
793 | ELSEWHERE |
---|
794 | zsc_uw_1 = zustar**2 |
---|
795 | zsc_vw_1 = ff_t * zhbl * zustke**3 * MIN( zla**(8.0/3.0), 0.12 ) / (zvstr**2 + epsln) |
---|
796 | ENDWHERE |
---|
797 | IF(ln_dia_osm) THEN |
---|
798 | IF ( iom_use("ghamu_00") ) CALL iom_put( "ghamu_00", wmask*ghamu ) |
---|
799 | IF ( iom_use("ghamv_00") ) CALL iom_put( "ghamv_00", wmask*ghamv ) |
---|
800 | END IF |
---|
801 | DO jj = 2, jpjm1 |
---|
802 | DO ji = 2, jpim1 |
---|
803 | IF ( lconv(ji,jj) ) THEN |
---|
804 | DO jk = 2, imld(ji,jj) |
---|
805 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
---|
806 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + ( -0.05 * EXP ( -0.4 * zznd_d ) * zsc_uw_1(ji,jj) & |
---|
807 | & + 0.00125 * EXP ( - zznd_d ) * zsc_uw_2(ji,jj) ) & |
---|
808 | & * ( 1.0 - EXP ( -2.0 * zznd_d ) ) |
---|
809 | ! |
---|
810 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) - 0.65 * 0.15 * EXP ( - zznd_d ) & |
---|
811 | & * ( 1.0 - EXP ( -2.0 * zznd_d ) ) * zsc_vw_1(ji,jj) |
---|
812 | END DO ! end jk loop |
---|
813 | ELSE |
---|
814 | ! Stable conditions |
---|
815 | DO jk = 2, ibld(ji,jj) ! corrected to ibld |
---|
816 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
---|
817 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) - 0.75 * 1.3 * EXP ( -0.5 * zznd_d ) & |
---|
818 | & * ( 1.0 - EXP ( -4.0 * zznd_d ) ) * zsc_uw_1(ji,jj) |
---|
819 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + 0._wp |
---|
820 | END DO ! end jk loop |
---|
821 | ENDIF |
---|
822 | END DO ! ji loop |
---|
823 | END DO ! jj loo |
---|
824 | |
---|
825 | ! Buoyancy term in flux-gradient relationship [note : includes ROI ratio (X0.3) and pressure (X0.5)] |
---|
826 | |
---|
827 | WHERE ( lconv ) |
---|
828 | zsc_wth_1 = zwbav * zwth0 * ( 1.0 + EXP ( 0.2 * zhol ) ) / ( zvstr**3 + 0.5 * zwstrc**3 + epsln ) |
---|
829 | zsc_ws_1 = zwbav * zws0 * ( 1.0 + EXP ( 0.2 * zhol ) ) / ( zvstr**3 + 0.5 * zwstrc**3 + epsln ) |
---|
830 | ELSEWHERE |
---|
831 | zsc_wth_1 = 0._wp |
---|
832 | zsc_ws_1 = 0._wp |
---|
833 | ENDWHERE |
---|
834 | |
---|
835 | DO jj = 2, jpjm1 |
---|
836 | DO ji = 2, jpim1 |
---|
837 | IF (lconv(ji,jj) ) THEN |
---|
838 | DO jk = 2, imld(ji,jj) |
---|
839 | zznd_ml = gdepw_n(ji,jj,jk) / zhml(ji,jj) |
---|
840 | ! calculate turbulent length scale |
---|
841 | zl_c = 0.9 * ( 1.0 - EXP ( - 7.0 * ( zznd_ml - zznd_ml**3 / 3.0 ) ) ) & |
---|
842 | & * ( 1.0 - EXP ( -15.0 * ( 1.1 - zznd_ml ) ) ) |
---|
843 | zl_l = 2.0 * ( 1.0 - EXP ( - 2.0 * ( zznd_ml - zznd_ml**3 / 3.0 ) ) ) & |
---|
844 | & * ( 1.0 - EXP ( - 5.0 * ( 1.0 - zznd_ml ) ) ) * ( 1.0 + dstokes(ji,jj) / zhml (ji,jj) ) |
---|
845 | zl_eps = zl_l + ( zl_c - zl_l ) / ( 1.0 + EXP ( -3.0 * LOG10 ( - zhol(ji,jj) ) ) ) ** (3.0/2.0) |
---|
846 | ! non-gradient buoyancy terms |
---|
847 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.3 * 0.5 * zsc_wth_1(ji,jj) * zl_eps * zhml(ji,jj) / ( 0.15 + zznd_ml ) |
---|
848 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.3 * 0.5 * zsc_ws_1(ji,jj) * zl_eps * zhml(ji,jj) / ( 0.15 + zznd_ml ) |
---|
849 | END DO |
---|
850 | ELSE |
---|
851 | DO jk = 2, ibld(ji,jj) |
---|
852 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + zsc_wth_1(ji,jj) |
---|
853 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + zsc_ws_1(ji,jj) |
---|
854 | END DO |
---|
855 | ENDIF |
---|
856 | END DO ! ji loop |
---|
857 | END DO ! jj loop |
---|
858 | |
---|
859 | WHERE ( lconv ) |
---|
860 | zsc_uw_1 = -zwb0 * zustar**2 * zhml / ( zvstr**3 + 0.5 * zwstrc**3 + epsln ) |
---|
861 | zsc_uw_2 = zwb0 * zustke * zhml / ( zvstr**3 + 0.5 * zwstrc**3 + epsln )**(2.0/3.0) |
---|
862 | zsc_vw_1 = 0._wp |
---|
863 | ELSEWHERE |
---|
864 | zsc_uw_1 = 0._wp |
---|
865 | zsc_vw_1 = 0._wp |
---|
866 | ENDWHERE |
---|
867 | |
---|
868 | DO jj = 2, jpjm1 |
---|
869 | DO ji = 2, jpim1 |
---|
870 | IF ( lconv(ji,jj) ) THEN |
---|
871 | DO jk = 2 , imld(ji,jj) |
---|
872 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
---|
873 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + 0.3 * 0.5 * ( zsc_uw_1(ji,jj) + 0.125 * EXP( -0.5 * zznd_d ) & |
---|
874 | & * ( 1.0 - EXP( -0.5 * zznd_d ) ) & |
---|
875 | & * zsc_uw_2(ji,jj) ) |
---|
876 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zsc_vw_1(ji,jj) |
---|
877 | END DO ! jk loop |
---|
878 | ELSE |
---|
879 | ! stable conditions |
---|
880 | DO jk = 2, ibld(ji,jj) |
---|
881 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + zsc_uw_1(ji,jj) |
---|
882 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zsc_vw_1(ji,jj) |
---|
883 | END DO |
---|
884 | ENDIF |
---|
885 | END DO ! ji loop |
---|
886 | END DO ! jj loop |
---|
887 | |
---|
888 | IF(ln_dia_osm) THEN |
---|
889 | IF ( iom_use("ghamu_0") ) CALL iom_put( "ghamu_0", wmask*ghamu ) |
---|
890 | IF ( iom_use("zsc_uw_1_0") ) CALL iom_put( "zsc_uw_1_0", tmask(:,:,1)*zsc_uw_1 ) |
---|
891 | END IF |
---|
892 | ! Transport term in flux-gradient relationship [note : includes ROI ratio (X0.3) ] |
---|
893 | |
---|
894 | WHERE ( lconv ) |
---|
895 | zsc_wth_1 = zwth0 |
---|
896 | zsc_ws_1 = zws0 |
---|
897 | ELSEWHERE |
---|
898 | zsc_wth_1 = 2.0 * zwthav |
---|
899 | zsc_ws_1 = zws0 |
---|
900 | ENDWHERE |
---|
901 | |
---|
902 | DO jj = 2, jpjm1 |
---|
903 | DO ji = 2, jpim1 |
---|
904 | IF ( lconv(ji,jj) ) THEN |
---|
905 | DO jk = 2, imld(ji,jj) |
---|
906 | zznd_ml=gdepw_n(ji,jj,jk) / zhml(ji,jj) |
---|
907 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.3 * zsc_wth_1(ji,jj) & |
---|
908 | & * ( -2.0 + 2.75 * ( ( 1.0 + 0.6 * zznd_ml**4 ) & |
---|
909 | & - EXP( - 6.0 * zznd_ml ) ) ) & |
---|
910 | & * ( 1.0 - EXP( - 15.0 * ( 1.0 - zznd_ml ) ) ) |
---|
911 | ! |
---|
912 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.3 * zsc_ws_1(ji,jj) & |
---|
913 | & * ( -2.0 + 2.75 * ( ( 1.0 + 0.6 * zznd_ml**4 ) & |
---|
914 | & - EXP( - 6.0 * zznd_ml ) ) ) & |
---|
915 | & * ( 1.0 - EXP ( -15.0 * ( 1.0 - zznd_ml ) ) ) |
---|
916 | END DO |
---|
917 | ELSE |
---|
918 | DO jk = 2, ibld(ji,jj) |
---|
919 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
---|
920 | znd = gdepw_n(ji,jj,jk) / zhbl(ji,jj) |
---|
921 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.3 * ( -4.06 * EXP( -2.0 * zznd_d ) * (1.0 - EXP( -4.0 * zznd_d ) ) + & |
---|
922 | & 7.5 * EXP ( -10.0 * ( 0.95 - znd )**2 ) * ( 1.0 - znd ) ) * zsc_wth_1(ji,jj) |
---|
923 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.3 * ( -4.06 * EXP( -2.0 * zznd_d ) * (1.0 - EXP( -4.0 * zznd_d ) ) + & |
---|
924 | & 7.5 * EXP ( -10.0 * ( 0.95 - znd )**2 ) * ( 1.0 - znd ) ) * zsc_ws_1(ji,jj) |
---|
925 | END DO |
---|
926 | ENDIF |
---|
927 | ENDDO ! ji loop |
---|
928 | END DO ! jj loop |
---|
929 | |
---|
930 | WHERE ( lconv ) |
---|
931 | zsc_uw_1 = zustar**2 |
---|
932 | zsc_vw_1 = ff_t * zustke * zhml |
---|
933 | ELSEWHERE |
---|
934 | zsc_uw_1 = zustar**2 |
---|
935 | zsc_uw_2 = (2.25 - 3.0 * ( 1.0 - EXP( -1.25 * 2.0 ) ) ) * ( 1.0 - EXP( -4.0 * 2.0 ) ) * zsc_uw_1 |
---|
936 | zsc_vw_1 = ff_t * zustke * zhbl |
---|
937 | zsc_vw_2 = -0.11 * SIN( 3.14159 * ( 2.0 + 0.4 ) ) * EXP(-( 1.5 + 2.0 )**2 ) * zsc_vw_1 |
---|
938 | ENDWHERE |
---|
939 | |
---|
940 | DO jj = 2, jpjm1 |
---|
941 | DO ji = 2, jpim1 |
---|
942 | IF ( lconv(ji,jj) ) THEN |
---|
943 | DO jk = 2, imld(ji,jj) |
---|
944 | zznd_ml = gdepw_n(ji,jj,jk) / zhml(ji,jj) |
---|
945 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
---|
946 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk)& |
---|
947 | & + 0.3 * ( -2.0 + 2.5 * ( 1.0 + 0.1 * zznd_ml**4 ) - EXP ( -8.0 * zznd_ml ) ) * zsc_uw_1(ji,jj) |
---|
948 | ! |
---|
949 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk)& |
---|
950 | & + 0.3 * 0.1 * ( EXP( -zznd_d ) + EXP( -5.0 * ( 1.0 - zznd_ml ) ) ) * zsc_vw_1(ji,jj) |
---|
951 | END DO |
---|
952 | ELSE |
---|
953 | DO jk = 2, ibld(ji,jj) |
---|
954 | znd = gdepw_n(ji,jj,jk) / zhbl(ji,jj) |
---|
955 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
---|
956 | IF ( zznd_d <= 2.0 ) THEN |
---|
957 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + 0.5 * 0.3 & |
---|
958 | &* ( 2.25 - 3.0 * ( 1.0 - EXP( - 1.25 * zznd_d ) ) * ( 1.0 - EXP( -2.0 * zznd_d ) ) ) * zsc_uw_1(ji,jj) |
---|
959 | ! |
---|
960 | ELSE |
---|
961 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk)& |
---|
962 | & + 0.5 * 0.3 * ( 1.0 - EXP( -5.0 * ( 1.0 - znd ) ) ) * zsc_uw_2(ji,jj) |
---|
963 | ! |
---|
964 | ENDIF |
---|
965 | |
---|
966 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk)& |
---|
967 | & + 0.3 * 0.15 * SIN( 3.14159 * ( 0.65 * zznd_d ) ) * EXP( -0.25 * zznd_d**2 ) * zsc_vw_1(ji,jj) |
---|
968 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk)& |
---|
969 | & + 0.3 * 0.15 * EXP( -5.0 * ( 1.0 - znd ) ) * ( 1.0 - EXP( -20.0 * ( 1.0 - znd ) ) ) * zsc_vw_2(ji,jj) |
---|
970 | END DO |
---|
971 | ENDIF |
---|
972 | END DO |
---|
973 | END DO |
---|
974 | |
---|
975 | IF(ln_dia_osm) THEN |
---|
976 | IF ( iom_use("ghamu_f") ) CALL iom_put( "ghamu_f", wmask*ghamu ) |
---|
977 | IF ( iom_use("ghamv_f") ) CALL iom_put( "ghamv_f", wmask*ghamv ) |
---|
978 | IF ( iom_use("zsc_uw_1_f") ) CALL iom_put( "zsc_uw_1_f", tmask(:,:,1)*zsc_uw_1 ) |
---|
979 | IF ( iom_use("zsc_vw_1_f") ) CALL iom_put( "zsc_vw_1_f", tmask(:,:,1)*zsc_vw_1 ) |
---|
980 | IF ( iom_use("zsc_uw_2_f") ) CALL iom_put( "zsc_uw_2_f", tmask(:,:,1)*zsc_uw_2 ) |
---|
981 | IF ( iom_use("zsc_vw_2_f") ) CALL iom_put( "zsc_vw_2_f", tmask(:,:,1)*zsc_vw_2 ) |
---|
982 | END IF |
---|
983 | ! |
---|
984 | ! Make surface forced velocity non-gradient terms go to zero at the base of the mixed layer. |
---|
985 | |
---|
986 | DO jj = 2, jpjm1 |
---|
987 | DO ji = 2, jpim1 |
---|
988 | IF ( lconv(ji,jj) ) THEN |
---|
989 | DO jk = 2, ibld(ji,jj) |
---|
990 | znd = ( gdepw_n(ji,jj,jk) - zhml(ji,jj) ) / zhml(ji,jj) !ALMG to think about |
---|
991 | IF ( znd >= 0.0 ) THEN |
---|
992 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) * ( 1.0 - EXP( -30.0 * znd**2 ) ) |
---|
993 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) * ( 1.0 - EXP( -30.0 * znd**2 ) ) |
---|
994 | ELSE |
---|
995 | ghamu(ji,jj,jk) = 0._wp |
---|
996 | ghamv(ji,jj,jk) = 0._wp |
---|
997 | ENDIF |
---|
998 | END DO |
---|
999 | ELSE |
---|
1000 | DO jk = 2, ibld(ji,jj) |
---|
1001 | znd = ( gdepw_n(ji,jj,jk) - zhml(ji,jj) ) / zhml(ji,jj) !ALMG to think about |
---|
1002 | IF ( znd >= 0.0 ) THEN |
---|
1003 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) * ( 1.0 - EXP( -10.0 * znd**2 ) ) |
---|
1004 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) * ( 1.0 - EXP( -10.0 * znd**2 ) ) |
---|
1005 | ELSE |
---|
1006 | ghamu(ji,jj,jk) = 0._wp |
---|
1007 | ghamv(ji,jj,jk) = 0._wp |
---|
1008 | ENDIF |
---|
1009 | END DO |
---|
1010 | ENDIF |
---|
1011 | END DO |
---|
1012 | END DO |
---|
1013 | |
---|
1014 | IF(ln_dia_osm) THEN |
---|
1015 | IF ( iom_use("ghamu_b") ) CALL iom_put( "ghamu_b", wmask*ghamu ) |
---|
1016 | IF ( iom_use("ghamv_b") ) CALL iom_put( "ghamv_b", wmask*ghamv ) |
---|
1017 | END IF |
---|
1018 | ! pynocline contributions |
---|
1019 | ! Temporary fix to avoid instabilities when zdb_bl becomes very very small |
---|
1020 | zsc_uw_1 = 0._wp ! 50.0 * zla**(8.0/3.0) * zustar**2 * zhbl / ( zdb_bl + epsln ) |
---|
1021 | DO jj = 2, jpjm1 |
---|
1022 | DO ji = 2, jpim1 |
---|
1023 | IF ( ibld(ji,jj) + ibld_ext < mbkt(ji,jj) ) THEN |
---|
1024 | DO jk= 2, ibld(ji,jj) |
---|
1025 | znd = gdepw_n(ji,jj,jk) / zhbl(ji,jj) |
---|
1026 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + zdiffut(ji,jj,jk) * zdtdz_pyc(ji,jj,jk) |
---|
1027 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + zdiffut(ji,jj,jk) * zdsdz_pyc(ji,jj,jk) |
---|
1028 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + zviscos(ji,jj,jk) * zdudz_pyc(ji,jj,jk) |
---|
1029 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + zsc_uw_1(ji,jj) * ( 1.0 - znd )**(7.0/4.0) * zdbdz_pyc(ji,jj,jk) |
---|
1030 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zviscos(ji,jj,jk) * zdvdz_pyc(ji,jj,jk) |
---|
1031 | END DO |
---|
1032 | END IF |
---|
1033 | END DO |
---|
1034 | END DO |
---|
1035 | |
---|
1036 | ! Entrainment contribution. |
---|
1037 | |
---|
1038 | DO jj=2, jpjm1 |
---|
1039 | DO ji = 2, jpim1 |
---|
1040 | IF ( lconv(ji,jj) .AND. ibld(ji,jj) + ibld_ext < mbkt(ji,jj)) THEN |
---|
1041 | DO jk = 1, imld(ji,jj) - 1 |
---|
1042 | znd=gdepw_n(ji,jj,jk) / zhml(ji,jj) |
---|
1043 | ! ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + zwth_ent(ji,jj) * znd |
---|
1044 | ! ghams(ji,jj,jk) = ghams(ji,jj,jk) + zws_ent(ji,jj) * znd |
---|
1045 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + zuw_bse(ji,jj) * znd |
---|
1046 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zvw_bse(ji,jj) * znd |
---|
1047 | END DO |
---|
1048 | DO jk = imld(ji,jj), ibld(ji,jj) |
---|
1049 | znd = -( gdepw_n(ji,jj,jk) - zhml(ji,jj) ) / zdh(ji,jj) |
---|
1050 | ! ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + zwth_ent(ji,jj) * ( 1.0 + znd ) |
---|
1051 | ! ghams(ji,jj,jk) = ghams(ji,jj,jk) + zws_ent(ji,jj) * ( 1.0 + znd ) |
---|
1052 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + zuw_bse(ji,jj) * ( 1.0 + znd ) |
---|
1053 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zvw_bse(ji,jj) * ( 1.0 + znd ) |
---|
1054 | END DO |
---|
1055 | ENDIF |
---|
1056 | |
---|
1057 | ghamt(ji,jj,ibld(ji,jj)+ibld_ext) = 0._wp |
---|
1058 | ghams(ji,jj,ibld(ji,jj)+ibld_ext) = 0._wp |
---|
1059 | ghamu(ji,jj,ibld(ji,jj)+ibld_ext) = 0._wp |
---|
1060 | ghamv(ji,jj,ibld(ji,jj)+ibld_ext) = 0._wp |
---|
1061 | END DO ! ji loop |
---|
1062 | END DO ! jj loop |
---|
1063 | |
---|
1064 | IF(ln_dia_osm) THEN |
---|
1065 | IF ( iom_use("ghamu_1") ) CALL iom_put( "ghamu_1", wmask*ghamu ) |
---|
1066 | IF ( iom_use("ghamv_1") ) CALL iom_put( "ghamv_1", wmask*ghamv ) |
---|
1067 | IF ( iom_use("zuw_bse") ) CALL iom_put( "zuw_bse", tmask(:,:,1)*zuw_bse ) |
---|
1068 | IF ( iom_use("zvw_bse") ) CALL iom_put( "zvw_bse", tmask(:,:,1)*zvw_bse ) |
---|
1069 | IF ( iom_use("zdudz_pyc") ) CALL iom_put( "zdudz_pyc", wmask*zdudz_pyc ) |
---|
1070 | IF ( iom_use("zdvdz_pyc") ) CALL iom_put( "zdvdz_pyc", wmask*zdvdz_pyc ) |
---|
1071 | IF ( iom_use("zviscos") ) CALL iom_put( "zviscos", wmask*zviscos ) |
---|
1072 | END IF |
---|
1073 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
1074 | ! Need to put in code for contributions that are applied explicitly to |
---|
1075 | ! the prognostic variables |
---|
1076 | ! 1. Entrainment flux |
---|
1077 | ! |
---|
1078 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
1079 | |
---|
1080 | |
---|
1081 | |
---|
1082 | ! rotate non-gradient velocity terms back to model reference frame |
---|
1083 | |
---|
1084 | DO jj = 2, jpjm1 |
---|
1085 | DO ji = 2, jpim1 |
---|
1086 | DO jk = 2, ibld(ji,jj) |
---|
1087 | ztemp = ghamu(ji,jj,jk) |
---|
1088 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) * zcos_wind(ji,jj) - ghamv(ji,jj,jk) * zsin_wind(ji,jj) |
---|
1089 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) * zcos_wind(ji,jj) + ztemp * zsin_wind(ji,jj) |
---|
1090 | END DO |
---|
1091 | END DO |
---|
1092 | END DO |
---|
1093 | |
---|
1094 | IF(ln_dia_osm) THEN |
---|
1095 | IF ( iom_use("zdtdz_pyc") ) CALL iom_put( "zdtdz_pyc", wmask*zdtdz_pyc ) |
---|
1096 | IF ( iom_use("zdsdz_pyc") ) CALL iom_put( "zdsdz_pyc", wmask*zdsdz_pyc ) |
---|
1097 | IF ( iom_use("zdbdz_pyc") ) CALL iom_put( "zdbdz_pyc", wmask*zdbdz_pyc ) |
---|
1098 | END IF |
---|
1099 | |
---|
1100 | ! KPP-style Ri# mixing |
---|
1101 | IF( ln_kpprimix) THEN |
---|
1102 | DO jk = 2, jpkm1 !* Shear production at uw- and vw-points (energy conserving form) |
---|
1103 | DO jj = 1, jpjm1 |
---|
1104 | DO ji = 1, jpim1 ! vector opt. |
---|
1105 | z3du(ji,jj,jk) = 0.5 * ( un(ji,jj,jk-1) - un(ji ,jj,jk) ) & |
---|
1106 | & * ( ub(ji,jj,jk-1) - ub(ji ,jj,jk) ) * wumask(ji,jj,jk) & |
---|
1107 | & / ( e3uw_n(ji,jj,jk) * e3uw_b(ji,jj,jk) ) |
---|
1108 | z3dv(ji,jj,jk) = 0.5 * ( vn(ji,jj,jk-1) - vn(ji,jj ,jk) ) & |
---|
1109 | & * ( vb(ji,jj,jk-1) - vb(ji,jj ,jk) ) * wvmask(ji,jj,jk) & |
---|
1110 | & / ( e3vw_n(ji,jj,jk) * e3vw_b(ji,jj,jk) ) |
---|
1111 | END DO |
---|
1112 | END DO |
---|
1113 | END DO |
---|
1114 | ! |
---|
1115 | DO jk = 2, jpkm1 |
---|
1116 | DO jj = 2, jpjm1 |
---|
1117 | DO ji = 2, jpim1 ! vector opt. |
---|
1118 | ! ! shear prod. at w-point weightened by mask |
---|
1119 | zesh2 = ( z3du(ji-1,jj,jk) + z3du(ji,jj,jk) ) / MAX( 1._wp , umask(ji-1,jj,jk) + umask(ji,jj,jk) ) & |
---|
1120 | & + ( z3dv(ji,jj-1,jk) + z3dv(ji,jj,jk) ) / MAX( 1._wp , vmask(ji,jj-1,jk) + vmask(ji,jj,jk) ) |
---|
1121 | ! ! local Richardson number |
---|
1122 | zri = MAX( rn2b(ji,jj,jk), 0._wp ) / MAX(zesh2, epsln) |
---|
1123 | zfri = MIN( zri / rn_riinfty , 1.0_wp ) |
---|
1124 | zfri = ( 1.0_wp - zfri * zfri ) |
---|
1125 | zrimix(ji,jj,jk) = zfri * zfri * zfri * wmask(ji, jj, jk) |
---|
1126 | END DO |
---|
1127 | END DO |
---|
1128 | END DO |
---|
1129 | |
---|
1130 | DO jj = 2, jpjm1 |
---|
1131 | DO ji = 2, jpim1 |
---|
1132 | DO jk = ibld(ji,jj) + 1, jpkm1 |
---|
1133 | zdiffut(ji,jj,jk) = zrimix(ji,jj,jk)*rn_difri |
---|
1134 | zviscos(ji,jj,jk) = zrimix(ji,jj,jk)*rn_difri |
---|
1135 | END DO |
---|
1136 | END DO |
---|
1137 | END DO |
---|
1138 | |
---|
1139 | END IF ! ln_kpprimix = .true. |
---|
1140 | |
---|
1141 | ! KPP-style set diffusivity large if unstable below BL |
---|
1142 | IF( ln_convmix) THEN |
---|
1143 | DO jj = 2, jpjm1 |
---|
1144 | DO ji = 2, jpim1 |
---|
1145 | DO jk = ibld(ji,jj) + 1, jpkm1 |
---|
1146 | IF( MIN( rn2(ji,jj,jk), rn2b(ji,jj,jk) ) <= -1.e-12 ) zdiffut(ji,jj,jk) = rn_difconv |
---|
1147 | END DO |
---|
1148 | END DO |
---|
1149 | END DO |
---|
1150 | END IF ! ln_convmix = .true. |
---|
1151 | |
---|
1152 | |
---|
1153 | |
---|
1154 | IF ( ln_osm_mle ) THEN ! set up diffusivity and non-gradient mixing |
---|
1155 | DO jj = 2 , jpjm1 |
---|
1156 | DO ji = 2, jpim1 |
---|
1157 | IF ( lconv(ji,jj) .AND. mld_prof(ji,jj) - ibld(ji,jj) > 1 ) THEN ! MLE mmixing extends below the OSBL. |
---|
1158 | ! Calculate MLE flux profiles |
---|
1159 | ! DO jk = 1, mld_prof(ji,jj) |
---|
1160 | ! znd = - gdepw_n(ji,jj,jk) / MAX(zhmle(ji,jj),epsln) |
---|
1161 | ! ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + & |
---|
1162 | ! & zwt_fk(ji,jj) * ( 1.0 - ( 2.0 * znd + 1.0 )**2 ) * ( 1.0 + r5_21 * ( 2.0 * znd + 1.0 )**2 ) |
---|
1163 | ! ghams(ji,jj,jk) = ghams(ji,jj,jk) + & |
---|
1164 | ! & zws_fk(ji,jj) * ( 1.0 - ( 2.0 * znd + 1.0 )**2 ) * ( 1.0 + r5_21 * ( 2.0 * znd + 1.0 )**2 ) |
---|
1165 | ! END DO |
---|
1166 | ! Calculate MLE flux contribution from surface fluxes |
---|
1167 | DO jk = 1, ibld(ji,jj) |
---|
1168 | znd = gdepw_n(ji,jj,jk) / MAX(zhbl(ji,jj),epsln) |
---|
1169 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) - zwth0(ji,jj) * ( 1.0 - znd ) |
---|
1170 | ghams(ji,jj,jk) = ghams(ji,jj,jk) - zws0(ji,jj) * ( 1.0 - znd ) |
---|
1171 | END DO |
---|
1172 | DO jk = 1, mld_prof(ji,jj) |
---|
1173 | znd = gdepw_n(ji,jj,jk) / MAX(zhmle(ji,jj),epsln) |
---|
1174 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + zwth0(ji,jj) * ( 1.0 - znd ) |
---|
1175 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + zws0(ji,jj) * ( 1.0 -znd ) |
---|
1176 | END DO |
---|
1177 | ! Viscosity for MLEs |
---|
1178 | DO jk = ibld(ji,jj), mld_prof(ji,jj) |
---|
1179 | zdiffut(ji,jj,jk) = MAX( zdiffut(ji,jj,jk), zdiff_mle(ji,jj) ) |
---|
1180 | END DO |
---|
1181 | ! Iterate to find approx vertical index for depth 1.1*zhmle(ji,jj) |
---|
1182 | jl = MIN(mld_prof(ji,jj) + 2, mbkt(ji,jj)) |
---|
1183 | jl = MIN( MAX(INT( 0.1 * zhmle(ji,jj) / e3t_n(ji,jj,jl)), 2 ) + mld_prof(ji,jj), mbkt(ji,jj)) |
---|
1184 | DO jk = mld_prof(ji,jj), jl |
---|
1185 | zdiffut(ji,jj,jk) = MAX( zdiffut(ji,jj,jk), zdiff_mle(ji,jj) * & |
---|
1186 | & ( gdepw_n(ji,jj,jk) - gdepw_n(ji,jj,jl) ) / & |
---|
1187 | & ( gdepw_n(ji,jj,mld_prof(ji,jj)) - gdepw_n(ji,jj,jl) - epsln)) |
---|
1188 | END DO |
---|
1189 | ENDIF |
---|
1190 | END DO |
---|
1191 | END DO |
---|
1192 | ENDIF |
---|
1193 | |
---|
1194 | IF(ln_dia_osm) THEN |
---|
1195 | IF ( iom_use("zdtdz_pyc") ) CALL iom_put( "zdtdz_pyc", wmask*zdtdz_pyc ) |
---|
1196 | IF ( iom_use("zdsdz_pyc") ) CALL iom_put( "zdsdz_pyc", wmask*zdsdz_pyc ) |
---|
1197 | IF ( iom_use("zdbdz_pyc") ) CALL iom_put( "zdbdz_pyc", wmask*zdbdz_pyc ) |
---|
1198 | END IF |
---|
1199 | |
---|
1200 | |
---|
1201 | ! Lateral boundary conditions on zvicos (sign unchanged), needed to caclulate viscosities on u and v grids |
---|
1202 | !CALL lbc_lnk( zviscos(:,:,:), 'W', 1. ) |
---|
1203 | |
---|
1204 | ! GN 25/8: need to change tmask --> wmask |
---|
1205 | |
---|
1206 | DO jk = 2, jpkm1 |
---|
1207 | DO jj = 2, jpjm1 |
---|
1208 | DO ji = 2, jpim1 |
---|
1209 | p_avt(ji,jj,jk) = MAX( zdiffut(ji,jj,jk), avtb(jk) ) * tmask(ji,jj,jk) |
---|
1210 | p_avm(ji,jj,jk) = MAX( zviscos(ji,jj,jk), avmb(jk) ) * tmask(ji,jj,jk) |
---|
1211 | END DO |
---|
1212 | END DO |
---|
1213 | END DO |
---|
1214 | ! Lateral boundary conditions on ghamu and ghamv, currently on W-grid (sign unchanged), needed to caclulate gham[uv] on u and v grids |
---|
1215 | CALL lbc_lnk_multi( 'zdfosm', p_avt, 'W', 1. , p_avm, 'W', 1., & |
---|
1216 | & ghamu, 'W', 1. , ghamv, 'W', 1. ) |
---|
1217 | DO jk = 2, jpkm1 |
---|
1218 | DO jj = 2, jpjm1 |
---|
1219 | DO ji = 2, jpim1 |
---|
1220 | ghamu(ji,jj,jk) = ( ghamu(ji,jj,jk) + ghamu(ji+1,jj,jk) ) & |
---|
1221 | & / MAX( 1., tmask(ji,jj,jk) + tmask (ji + 1,jj,jk) ) * umask(ji,jj,jk) |
---|
1222 | |
---|
1223 | ghamv(ji,jj,jk) = ( ghamv(ji,jj,jk) + ghamv(ji,jj+1,jk) ) & |
---|
1224 | & / MAX( 1., tmask(ji,jj,jk) + tmask (ji,jj+1,jk) ) * vmask(ji,jj,jk) |
---|
1225 | |
---|
1226 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) * tmask(ji,jj,jk) |
---|
1227 | ghams(ji,jj,jk) = ghams(ji,jj,jk) * tmask(ji,jj,jk) |
---|
1228 | END DO |
---|
1229 | END DO |
---|
1230 | END DO |
---|
1231 | ! Lateral boundary conditions on final outputs for hbl, on T-grid (sign unchanged) |
---|
1232 | CALL lbc_lnk_multi( 'zdfosm', hbl, 'T', 1., dh, 'T', 1., hmle, 'T', 1. ) |
---|
1233 | ! Lateral boundary conditions on final outputs for gham[ts], on W-grid (sign unchanged) |
---|
1234 | ! Lateral boundary conditions on final outputs for gham[uv], on [UV]-grid (sign unchanged) |
---|
1235 | CALL lbc_lnk_multi( 'zdfosm', ghamt, 'W', 1. , ghams, 'W', 1., & |
---|
1236 | & ghamu, 'U', -1. , ghamv, 'V', -1. ) |
---|
1237 | |
---|
1238 | IF(ln_dia_osm) THEN |
---|
1239 | SELECT CASE (nn_osm_wave) |
---|
1240 | ! Stokes drift set by assumimg onstant La#=0.3(=0) or Pierson-Moskovitz spectrum (=1). |
---|
1241 | CASE(0:1) |
---|
1242 | IF ( iom_use("us_x") ) CALL iom_put( "us_x", tmask(:,:,1)*zustke*zcos_wind ) ! x surface Stokes drift |
---|
1243 | IF ( iom_use("us_y") ) CALL iom_put( "us_y", tmask(:,:,1)*zustke*zsin_wind ) ! y surface Stokes drift |
---|
1244 | IF ( iom_use("wind_wave_abs_power") ) CALL iom_put( "wind_wave_abs_power", 1000.*rau0*tmask(:,:,1)*zustar**2*zustke ) |
---|
1245 | ! Stokes drift read in from sbcwave (=2). |
---|
1246 | CASE(2:3) |
---|
1247 | IF ( iom_use("us_x") ) CALL iom_put( "us_x", ut0sd*umask(:,:,1) ) ! x surface Stokes drift |
---|
1248 | IF ( iom_use("us_y") ) CALL iom_put( "us_y", vt0sd*vmask(:,:,1) ) ! y surface Stokes drift |
---|
1249 | IF ( iom_use("wmp") ) CALL iom_put( "wmp", wmp*tmask(:,:,1) ) ! wave mean period |
---|
1250 | IF ( iom_use("hsw") ) CALL iom_put( "hsw", hsw*tmask(:,:,1) ) ! significant wave height |
---|
1251 | IF ( iom_use("wmp_NP") ) CALL iom_put( "wmp_NP", (2.*rpi*1.026/(0.877*grav) )*wndm*tmask(:,:,1) ) ! wave mean period from NP spectrum |
---|
1252 | IF ( iom_use("hsw_NP") ) CALL iom_put( "hsw_NP", (0.22/grav)*wndm**2*tmask(:,:,1) ) ! significant wave height from NP spectrum |
---|
1253 | IF ( iom_use("wndm") ) CALL iom_put( "wndm", wndm*tmask(:,:,1) ) ! U_10 |
---|
1254 | IF ( iom_use("wind_wave_abs_power") ) CALL iom_put( "wind_wave_abs_power", 1000.*rau0*tmask(:,:,1)*zustar**2* & |
---|
1255 | & SQRT(ut0sd**2 + vt0sd**2 ) ) |
---|
1256 | END SELECT |
---|
1257 | IF ( iom_use("ghamt") ) CALL iom_put( "ghamt", tmask*ghamt ) ! <Tw_NL> |
---|
1258 | IF ( iom_use("ghams") ) CALL iom_put( "ghams", tmask*ghams ) ! <Sw_NL> |
---|
1259 | IF ( iom_use("ghamu") ) CALL iom_put( "ghamu", umask*ghamu ) ! <uw_NL> |
---|
1260 | IF ( iom_use("ghamv") ) CALL iom_put( "ghamv", vmask*ghamv ) ! <vw_NL> |
---|
1261 | IF ( iom_use("zwth0") ) CALL iom_put( "zwth0", tmask(:,:,1)*zwth0 ) ! <Tw_0> |
---|
1262 | IF ( iom_use("zws0") ) CALL iom_put( "zws0", tmask(:,:,1)*zws0 ) ! <Sw_0> |
---|
1263 | IF ( iom_use("hbl") ) CALL iom_put( "hbl", tmask(:,:,1)*hbl ) ! boundary-layer depth |
---|
1264 | IF ( iom_use("ibld") ) CALL iom_put( "ibld", tmask(:,:,1)*ibld ) ! boundary-layer max k |
---|
1265 | IF ( iom_use("zdt_bl") ) CALL iom_put( "zdt_bl", tmask(:,:,1)*zdt_bl ) ! dt at ml base |
---|
1266 | IF ( iom_use("zds_bl") ) CALL iom_put( "zds_bl", tmask(:,:,1)*zds_bl ) ! ds at ml base |
---|
1267 | IF ( iom_use("zdb_bl") ) CALL iom_put( "zdb_bl", tmask(:,:,1)*zdb_bl ) ! db at ml base |
---|
1268 | IF ( iom_use("zdu_bl") ) CALL iom_put( "zdu_bl", tmask(:,:,1)*zdu_bl ) ! du at ml base |
---|
1269 | IF ( iom_use("zdv_bl") ) CALL iom_put( "zdv_bl", tmask(:,:,1)*zdv_bl ) ! dv at ml base |
---|
1270 | IF ( iom_use("dh") ) CALL iom_put( "dh", tmask(:,:,1)*dh ) ! Initial boundary-layer depth |
---|
1271 | IF ( iom_use("hml") ) CALL iom_put( "hml", tmask(:,:,1)*hml ) ! Initial boundary-layer depth |
---|
1272 | IF ( iom_use("dstokes") ) CALL iom_put( "dstokes", tmask(:,:,1)*dstokes ) ! Stokes drift penetration depth |
---|
1273 | IF ( iom_use("zustke") ) CALL iom_put( "zustke", tmask(:,:,1)*zustke ) ! Stokes drift magnitude at T-points |
---|
1274 | IF ( iom_use("zwstrc") ) CALL iom_put( "zwstrc", tmask(:,:,1)*zwstrc ) ! convective velocity scale |
---|
1275 | IF ( iom_use("zwstrl") ) CALL iom_put( "zwstrl", tmask(:,:,1)*zwstrl ) ! Langmuir velocity scale |
---|
1276 | IF ( iom_use("zustar") ) CALL iom_put( "zustar", tmask(:,:,1)*zustar ) ! friction velocity scale |
---|
1277 | IF ( iom_use("zvstr") ) CALL iom_put( "zvstr", tmask(:,:,1)*zvstr ) ! mixed velocity scale |
---|
1278 | IF ( iom_use("zla") ) CALL iom_put( "zla", tmask(:,:,1)*zla ) ! langmuir # |
---|
1279 | IF ( iom_use("wind_power") ) CALL iom_put( "wind_power", 1000.*rau0*tmask(:,:,1)*zustar**3 ) ! BL depth internal to zdf_osm routine |
---|
1280 | IF ( iom_use("wind_wave_power") ) CALL iom_put( "wind_wave_power", 1000.*rau0*tmask(:,:,1)*zustar**2*zustke ) |
---|
1281 | IF ( iom_use("zhbl") ) CALL iom_put( "zhbl", tmask(:,:,1)*zhbl ) ! BL depth internal to zdf_osm routine |
---|
1282 | IF ( iom_use("zhml") ) CALL iom_put( "zhml", tmask(:,:,1)*zhml ) ! ML depth internal to zdf_osm routine |
---|
1283 | IF ( iom_use("imld") ) CALL iom_put( "imld", tmask(:,:,1)*imld ) ! index for ML depth internal to zdf_osm routine |
---|
1284 | IF ( iom_use("zdh") ) CALL iom_put( "zdh", tmask(:,:,1)*zdh ) ! pyc thicknessh internal to zdf_osm routine |
---|
1285 | IF ( iom_use("zhol") ) CALL iom_put( "zhol", tmask(:,:,1)*zhol ) ! ML depth internal to zdf_osm routine |
---|
1286 | IF ( iom_use("zwthav") ) CALL iom_put( "zwthav", tmask(:,:,1)*zwthav ) ! upward BL-avged turb temp flux |
---|
1287 | IF ( iom_use("zwth_ent") ) CALL iom_put( "zwth_ent", tmask(:,:,1)*zwth_ent ) ! upward turb temp entrainment flux |
---|
1288 | IF ( iom_use("zwb_ent") ) CALL iom_put( "zwb_ent", tmask(:,:,1)*zwb_ent ) ! upward turb buoyancy entrainment flux |
---|
1289 | IF ( iom_use("zws_ent") ) CALL iom_put( "zws_ent", tmask(:,:,1)*zws_ent ) ! upward turb salinity entrainment flux |
---|
1290 | IF ( iom_use("zt_ml") ) CALL iom_put( "zt_ml", tmask(:,:,1)*zt_ml ) ! average T in ML |
---|
1291 | |
---|
1292 | IF ( iom_use("hmle") ) CALL iom_put( "hmle", tmask(:,:,1)*hmle ) ! FK layer depth |
---|
1293 | IF ( iom_use("zmld") ) CALL iom_put( "zmld", tmask(:,:,1)*zmld ) ! FK target layer depth |
---|
1294 | IF ( iom_use("zwb_fk") ) CALL iom_put( "zwb_fk", tmask(:,:,1)*zwb_fk ) ! FK b flux |
---|
1295 | IF ( iom_use("zwb_fk_b") ) CALL iom_put( "zwb_fk_b", tmask(:,:,1)*zwb_fk_b ) ! FK b flux averaged over ML |
---|
1296 | IF ( iom_use("mld_prof") ) CALL iom_put( "mld_prof", tmask(:,:,1)*mld_prof )! FK layer max k |
---|
1297 | IF ( iom_use("zdtdx") ) CALL iom_put( "zdtdx", umask(:,:,1)*zdtdx ) ! FK dtdx at u-pt |
---|
1298 | IF ( iom_use("zdtdy") ) CALL iom_put( "zdtdy", vmask(:,:,1)*zdtdy ) ! FK dtdy at v-pt |
---|
1299 | IF ( iom_use("zdsdx") ) CALL iom_put( "zdsdx", umask(:,:,1)*zdsdx ) ! FK dtdx at u-pt |
---|
1300 | IF ( iom_use("zdsdy") ) CALL iom_put( "zdsdy", vmask(:,:,1)*zdsdy ) ! FK dsdy at v-pt |
---|
1301 | IF ( iom_use("dbdx_mle") ) CALL iom_put( "dbdx_mle", umask(:,:,1)*dbdx_mle ) ! FK dbdx at u-pt |
---|
1302 | IF ( iom_use("dbdy_mle") ) CALL iom_put( "dbdy_mle", vmask(:,:,1)*dbdy_mle ) ! FK dbdy at v-pt |
---|
1303 | IF ( iom_use("zdiff_mle") ) CALL iom_put( "zdiff_mle", tmask(:,:,1)*zdiff_mle )! FK diff in MLE at t-pt |
---|
1304 | IF ( iom_use("zvel_mle") ) CALL iom_put( "zvel_mle", tmask(:,:,1)*zdiff_mle )! FK diff in MLE at t-pt |
---|
1305 | |
---|
1306 | END IF |
---|
1307 | |
---|
1308 | CONTAINS |
---|
1309 | |
---|
1310 | |
---|
1311 | ! Alan: do we need zb? |
---|
1312 | SUBROUTINE zdf_osm_vertical_average( jnlev_av, zt, zs, zu, zv, zdt, zds, zdb, zdu, zdv ) |
---|
1313 | !!--------------------------------------------------------------------- |
---|
1314 | !! *** ROUTINE zdf_vertical_average *** |
---|
1315 | !! |
---|
1316 | !! ** Purpose : Determines vertical averages from surface to jnlev. |
---|
1317 | !! |
---|
1318 | !! ** Method : Averages are calculated from the surface to jnlev. |
---|
1319 | !! The external level used to calculate differences is ibld+ibld_ext |
---|
1320 | !! |
---|
1321 | !!---------------------------------------------------------------------- |
---|
1322 | |
---|
1323 | INTEGER, DIMENSION(jpi,jpj) :: jnlev_av ! Number of levels to average over. |
---|
1324 | |
---|
1325 | ! Alan: do we need zb? |
---|
1326 | REAL(wp), DIMENSION(jpi,jpj) :: zt, zs ! Average temperature and salinity |
---|
1327 | REAL(wp), DIMENSION(jpi,jpj) :: zu,zv ! Average current components |
---|
1328 | REAL(wp), DIMENSION(jpi,jpj) :: zdt, zds, zdb ! Difference between average and value at base of OSBL |
---|
1329 | REAL(wp), DIMENSION(jpi,jpj) :: zdu, zdv ! Difference for velocity components. |
---|
1330 | |
---|
1331 | INTEGER :: jk, ji, jj |
---|
1332 | REAL(wp) :: zthick, zthermal, zbeta |
---|
1333 | |
---|
1334 | |
---|
1335 | zt = 0._wp |
---|
1336 | zs = 0._wp |
---|
1337 | zu = 0._wp |
---|
1338 | zv = 0._wp |
---|
1339 | DO jj = 2, jpjm1 ! Vertical slab |
---|
1340 | DO ji = 2, jpim1 |
---|
1341 | zthermal = rab_n(ji,jj,1,jp_tem) !ideally use ibld not 1?? |
---|
1342 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
1343 | ! average over depth of boundary layer |
---|
1344 | zthick = epsln |
---|
1345 | DO jk = 2, jnlev_av(ji,jj) |
---|
1346 | zthick = zthick + e3t_n(ji,jj,jk) |
---|
1347 | zt(ji,jj) = zt(ji,jj) + e3t_n(ji,jj,jk) * tsn(ji,jj,jk,jp_tem) |
---|
1348 | zs(ji,jj) = zs(ji,jj) + e3t_n(ji,jj,jk) * tsn(ji,jj,jk,jp_sal) |
---|
1349 | zu(ji,jj) = zu(ji,jj) + e3t_n(ji,jj,jk) & |
---|
1350 | & * ( ub(ji,jj,jk) + ub(ji - 1,jj,jk) ) & |
---|
1351 | & / MAX( 1. , umask(ji,jj,jk) + umask(ji - 1,jj,jk) ) |
---|
1352 | zv(ji,jj) = zv(ji,jj) + e3t_n(ji,jj,jk) & |
---|
1353 | & * ( vb(ji,jj,jk) + vb(ji,jj - 1,jk) ) & |
---|
1354 | & / MAX( 1. , vmask(ji,jj,jk) + vmask(ji,jj - 1,jk) ) |
---|
1355 | END DO |
---|
1356 | zt(ji,jj) = zt(ji,jj) / zthick |
---|
1357 | zs(ji,jj) = zs(ji,jj) / zthick |
---|
1358 | zu(ji,jj) = zu(ji,jj) / zthick |
---|
1359 | zv(ji,jj) = zv(ji,jj) / zthick |
---|
1360 | ! Alan: do we need zb? |
---|
1361 | zdt(ji,jj) = zt(ji,jj) - tsn(ji,jj,ibld(ji,jj)+ibld_ext,jp_tem) |
---|
1362 | zds(ji,jj) = zs(ji,jj) - tsn(ji,jj,ibld(ji,jj)+ibld_ext,jp_sal) |
---|
1363 | zdu(ji,jj) = zu(ji,jj) - ( ub(ji,jj,ibld(ji,jj)+ibld_ext) + ub(ji-1,jj,ibld(ji,jj)+ibld_ext ) ) & |
---|
1364 | & / MAX(1. , umask(ji,jj,ibld(ji,jj)+ibld_ext ) + umask(ji-1,jj,ibld(ji,jj)+ibld_ext ) ) |
---|
1365 | zdv(ji,jj) = zv(ji,jj) - ( vb(ji,jj,ibld(ji,jj)+ibld_ext) + vb(ji,jj-1,ibld(ji,jj)+ibld_ext ) ) & |
---|
1366 | & / MAX(1. , vmask(ji,jj,ibld(ji,jj)+ibld_ext ) + vmask(ji,jj-1,ibld(ji,jj)+ibld_ext ) ) |
---|
1367 | zdb(ji,jj) = grav * zthermal * zdt(ji,jj) - grav * zbeta * zds(ji,jj) |
---|
1368 | END DO |
---|
1369 | END DO |
---|
1370 | END SUBROUTINE zdf_osm_vertical_average |
---|
1371 | |
---|
1372 | SUBROUTINE zdf_osm_velocity_rotation( zcos_w, zsin_w, zu, zv, zdu, zdv ) |
---|
1373 | !!--------------------------------------------------------------------- |
---|
1374 | !! *** ROUTINE zdf_velocity_rotation *** |
---|
1375 | !! |
---|
1376 | !! ** Purpose : Rotates frame of reference of averaged velocity components. |
---|
1377 | !! |
---|
1378 | !! ** Method : The velocity components are rotated into frame specified by zcos_w and zsin_w |
---|
1379 | !! |
---|
1380 | !!---------------------------------------------------------------------- |
---|
1381 | |
---|
1382 | REAL(wp), DIMENSION(jpi,jpj) :: zcos_w, zsin_w ! Cos and Sin of rotation angle |
---|
1383 | REAL(wp), DIMENSION(jpi,jpj) :: zu, zv ! Components of current |
---|
1384 | REAL(wp), DIMENSION(jpi,jpj) :: zdu, zdv ! Change in velocity components across pycnocline |
---|
1385 | |
---|
1386 | INTEGER :: ji, jj |
---|
1387 | REAL(wp) :: ztemp |
---|
1388 | |
---|
1389 | DO jj = 2, jpjm1 |
---|
1390 | DO ji = 2, jpim1 |
---|
1391 | ztemp = zu(ji,jj) |
---|
1392 | zu(ji,jj) = zu(ji,jj) * zcos_w(ji,jj) + zv(ji,jj) * zsin_w(ji,jj) |
---|
1393 | zv(ji,jj) = zv(ji,jj) * zcos_w(ji,jj) - ztemp * zsin_w(ji,jj) |
---|
1394 | ztemp = zdu(ji,jj) |
---|
1395 | zdu(ji,jj) = zdu(ji,jj) * zcos_w(ji,jj) + zdv(ji,jj) * zsin_w(ji,jj) |
---|
1396 | zdv(ji,jj) = zdv(ji,jj) * zsin_w(ji,jj) - ztemp * zsin_w(ji,jj) |
---|
1397 | END DO |
---|
1398 | END DO |
---|
1399 | END SUBROUTINE zdf_osm_velocity_rotation |
---|
1400 | |
---|
1401 | SUBROUTINE zdf_osm_external_gradients( zdtdz, zdsdz, zdbdz ) |
---|
1402 | !!--------------------------------------------------------------------- |
---|
1403 | !! *** ROUTINE zdf_osm_external_gradients *** |
---|
1404 | !! |
---|
1405 | !! ** Purpose : Calculates the gradients below the OSBL |
---|
1406 | !! |
---|
1407 | !! ** Method : Uses ibld and ibld_ext to determine levels to calculate the gradient. |
---|
1408 | !! |
---|
1409 | !!---------------------------------------------------------------------- |
---|
1410 | |
---|
1411 | REAL(wp), DIMENSION(jpi,jpj) :: zdtdz, zdsdz, zdbdz ! External gradients of temperature, salinity and buoyancy. |
---|
1412 | |
---|
1413 | INTEGER :: jj, ji, jkb, jkb1 |
---|
1414 | REAL(wp) :: zthermal, zbeta |
---|
1415 | |
---|
1416 | |
---|
1417 | DO jj = 2, jpjm1 |
---|
1418 | DO ji = 2, jpim1 |
---|
1419 | IF ( ibld(ji,jj) + ibld_ext < mbkt(ji,jj) ) THEN |
---|
1420 | zthermal = rab_n(ji,jj,1,jp_tem) !ideally use ibld not 1?? |
---|
1421 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
1422 | jkb = ibld(ji,jj) + ibld_ext |
---|
1423 | jkb1 = MIN(jkb + 1, mbkt(ji,jj)) |
---|
1424 | zdtdz(ji,jj) = - ( tsn(ji,jj,jkb1,jp_tem) - tsn(ji,jj,jkb,jp_tem ) ) & |
---|
1425 | & / e3t_n(ji,jj,ibld(ji,jj)) |
---|
1426 | zdsdz(ji,jj) = - ( tsn(ji,jj,jkb1,jp_sal) - tsn(ji,jj,jkb,jp_sal ) ) & |
---|
1427 | & / e3t_n(ji,jj,ibld(ji,jj)) |
---|
1428 | zdbdz(ji,jj) = grav * zthermal * zdtdz(ji,jj) - grav * zbeta * zdsdz(ji,jj) |
---|
1429 | END IF |
---|
1430 | END DO |
---|
1431 | END DO |
---|
1432 | END SUBROUTINE zdf_osm_external_gradients |
---|
1433 | |
---|
1434 | SUBROUTINE zdf_osm_pycnocline_scalar_profiles( zdtdz, zdsdz, zdbdz ) |
---|
1435 | |
---|
1436 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdtdz, zdsdz, zdbdz ! gradients in the pycnocline |
---|
1437 | |
---|
1438 | INTEGER :: jk, jj, ji |
---|
1439 | REAL(wp) :: ztgrad, zsgrad, zbgrad |
---|
1440 | REAL(wp) :: zgamma_b_nd, zgamma_c, znd |
---|
1441 | REAL(wp) :: zzeta_s=0.3, ztmp |
---|
1442 | |
---|
1443 | DO jj = 2, jpjm1 |
---|
1444 | DO ji = 2, jpim1 |
---|
1445 | IF ( ibld(ji,jj) + ibld_ext < mbkt(ji,jj) ) THEN |
---|
1446 | IF ( lconv(ji,jj) ) THEN ! convective conditions |
---|
1447 | IF ( zdbdz_ext(ji,jj) > 0._wp .AND. & |
---|
1448 | & (zdhdt(ji,jj) > 0._wp .AND. ln_osm_mle .AND. zdb_bl(ji,jj) > rn_osm_mle_thresh & |
---|
1449 | & .OR. zdb_bl(ji,jj) > 0._wp)) THEN ! zdhdt could be <0 due to FK, hence check zdhdt>0 |
---|
1450 | ztmp = 1._wp/MAX(zdh(ji,jj), epsln) |
---|
1451 | ztgrad = 0.5 * zdt_ml(ji,jj) * ztmp + zdtdz_ext(ji,jj) |
---|
1452 | zsgrad = 0.5 * zds_ml(ji,jj) * ztmp + zdsdz_ext(ji,jj) |
---|
1453 | zbgrad = 0.5 * zdb_ml(ji,jj) * ztmp + zdbdz_ext(ji,jj) |
---|
1454 | zgamma_b_nd = zdbdz_ext(ji,jj) * zdh(ji,jj) / MAX(zdb_ml(ji,jj), epsln) |
---|
1455 | zgamma_c = ( 3.14159 / 4.0 ) * ( 0.5 + zgamma_b_nd ) /& |
---|
1456 | & ( 1.0 - 0.25 * SQRT( 3.14159 / 6.0 ) - 2.0 * zgamma_b_nd * zzeta_s )**2 ! check |
---|
1457 | DO jk = 2, ibld(ji,jj)+ibld_ext |
---|
1458 | znd = -( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) * ztmp |
---|
1459 | IF ( znd <= zzeta_s ) THEN |
---|
1460 | zdtdz(ji,jj,jk) = zdtdz_ext(ji,jj) + 0.5 * zdt_ml(ji,jj) * ztmp * & |
---|
1461 | & EXP( -6.0 * ( znd -zzeta_s )**2 ) |
---|
1462 | zdsdz(ji,jj,jk) = zdsdz_ext(ji,jj) + 0.5 * zds_ml(ji,jj) * ztmp * & |
---|
1463 | & EXP( -6.0 * ( znd -zzeta_s )**2 ) |
---|
1464 | zdbdz(ji,jj,jk) = zdbdz_ext(ji,jj) + 0.5 * zdb_ml(ji,jj) * ztmp * & |
---|
1465 | & EXP( -6.0 * ( znd -zzeta_s )**2 ) |
---|
1466 | ELSE |
---|
1467 | zdtdz(ji,jj,jk) = ztgrad * EXP( -zgamma_c * ( znd - zzeta_s )**2 ) |
---|
1468 | zdsdz(ji,jj,jk) = zsgrad * EXP( -zgamma_c * ( znd - zzeta_s )**2 ) |
---|
1469 | zdbdz(ji,jj,jk) = zbgrad * EXP( -zgamma_c * ( znd - zzeta_s )**2 ) |
---|
1470 | ENDIF |
---|
1471 | END DO |
---|
1472 | ENDIF ! If condition not satisfied, no pycnocline present. Gradients have been initialised to zero, so do nothing |
---|
1473 | ELSE |
---|
1474 | ! stable conditions |
---|
1475 | ! if pycnocline profile only defined when depth steady of increasing. |
---|
1476 | IF ( zdhdt(ji,jj) >= 0.0 ) THEN ! Depth increasing, or steady. |
---|
1477 | IF ( zdb_bl(ji,jj) > 0._wp ) THEN |
---|
1478 | IF ( zhol(ji,jj) >= 0.5 ) THEN ! Very stable - 'thick' pycnocline |
---|
1479 | ztmp = 1._wp/MAX(zhbl(ji,jj), epsln) |
---|
1480 | ztgrad = zdt_bl(ji,jj) * ztmp |
---|
1481 | zsgrad = zds_bl(ji,jj) * ztmp |
---|
1482 | zbgrad = zdb_bl(ji,jj) * ztmp |
---|
1483 | DO jk = 2, ibld(ji,jj) |
---|
1484 | znd = gdepw_n(ji,jj,jk) * ztmp |
---|
1485 | zdtdz(ji,jj,jk) = ztgrad * EXP( -15.0 * ( znd - 0.9 )**2 ) |
---|
1486 | zdbdz(ji,jj,jk) = zbgrad * EXP( -15.0 * ( znd - 0.9 )**2 ) |
---|
1487 | zdsdz(ji,jj,jk) = zsgrad * EXP( -15.0 * ( znd - 0.9 )**2 ) |
---|
1488 | END DO |
---|
1489 | ELSE ! Slightly stable - 'thin' pycnoline - needed when stable layer begins to form. |
---|
1490 | ztmp = 1._wp/MAX(zdh(ji,jj), epsln) |
---|
1491 | ztgrad = zdt_bl(ji,jj) * ztmp |
---|
1492 | zsgrad = zds_bl(ji,jj) * ztmp |
---|
1493 | zbgrad = zdb_bl(ji,jj) * ztmp |
---|
1494 | DO jk = 2, ibld(ji,jj) |
---|
1495 | znd = -( gdepw_n(ji,jj,jk) - zhml(ji,jj) ) * ztmp |
---|
1496 | zdtdz(ji,jj,jk) = ztgrad * EXP( -1.75 * ( znd + 0.75 )**2 ) |
---|
1497 | zdbdz(ji,jj,jk) = zbgrad * EXP( -1.75 * ( znd + 0.75 )**2 ) |
---|
1498 | zdsdz(ji,jj,jk) = zsgrad * EXP( -1.75 * ( znd + 0.75 )**2 ) |
---|
1499 | END DO |
---|
1500 | ENDIF ! IF (zhol >=0.5) |
---|
1501 | ENDIF ! IF (zdb_bl> 0.) |
---|
1502 | ENDIF ! IF (zdhdt >= 0) zdhdt < 0 not considered since pycnocline profile is zero and profile arrays are intialized to zero |
---|
1503 | ENDIF ! IF (lconv) |
---|
1504 | END IF ! IF ( ibld(ji,jj) + ibld_ext < mbkt(ji,jj) ) |
---|
1505 | END DO |
---|
1506 | END DO |
---|
1507 | |
---|
1508 | END SUBROUTINE zdf_osm_pycnocline_scalar_profiles |
---|
1509 | |
---|
1510 | SUBROUTINE zdf_osm_pycnocline_shear_profiles( zdudz, zdvdz ) |
---|
1511 | !!--------------------------------------------------------------------- |
---|
1512 | !! *** ROUTINE zdf_osm_pycnocline_shear_profiles *** |
---|
1513 | !! |
---|
1514 | !! ** Purpose : Calculates velocity shear in the pycnocline |
---|
1515 | !! |
---|
1516 | !! ** Method : |
---|
1517 | !! |
---|
1518 | !!---------------------------------------------------------------------- |
---|
1519 | |
---|
1520 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdudz, zdvdz |
---|
1521 | |
---|
1522 | INTEGER :: jk, jj, ji |
---|
1523 | REAL(wp) :: zugrad, zvgrad, znd |
---|
1524 | REAL(wp) :: zzeta_v = 0.45 |
---|
1525 | ! |
---|
1526 | DO jj = 2, jpjm1 |
---|
1527 | DO ji = 2, jpim1 |
---|
1528 | ! |
---|
1529 | IF ( ibld(ji,jj) + ibld_ext < mbkt(ji,jj) ) THEN |
---|
1530 | IF ( lconv (ji,jj) ) THEN |
---|
1531 | ! Unstable conditions |
---|
1532 | zugrad = 0.7 * zdu_ml(ji,jj) / zdh(ji,jj) + 0.3 * zustar(ji,jj)*zustar(ji,jj) / & |
---|
1533 | & ( ( ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird * zhml(ji,jj) ) * & |
---|
1534 | & MIN(zla(ji,jj)**(8.0/3.0) + epsln, 0.12 )) |
---|
1535 | !Alan is this right? |
---|
1536 | zvgrad = ( 0.7 * zdv_ml(ji,jj) + & |
---|
1537 | & 2.0 * ff_t(ji,jj) * zustke(ji,jj) * dstokes(ji,jj) / & |
---|
1538 | & ( ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird + epsln ) & |
---|
1539 | & )/ (zdh(ji,jj) + epsln ) |
---|
1540 | DO jk = 2, ibld(ji,jj) - 1 + ibld_ext |
---|
1541 | znd = -( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) / (zdh(ji,jj) + epsln ) - zzeta_v |
---|
1542 | IF ( znd <= 0.0 ) THEN |
---|
1543 | zdudz(ji,jj,jk) = 1.25 * zugrad * EXP( 3.0 * znd ) |
---|
1544 | zdvdz(ji,jj,jk) = 1.25 * zvgrad * EXP( 3.0 * znd ) |
---|
1545 | ELSE |
---|
1546 | zdudz(ji,jj,jk) = 1.25 * zugrad * EXP( -2.0 * znd ) |
---|
1547 | zdvdz(ji,jj,jk) = 1.25 * zvgrad * EXP( -2.0 * znd ) |
---|
1548 | ENDIF |
---|
1549 | END DO |
---|
1550 | ELSE |
---|
1551 | ! stable conditions |
---|
1552 | zugrad = 3.25 * zdu_bl(ji,jj) / zhbl(ji,jj) |
---|
1553 | zvgrad = 2.75 * zdv_bl(ji,jj) / zhbl(ji,jj) |
---|
1554 | DO jk = 2, ibld(ji,jj) |
---|
1555 | znd = gdepw_n(ji,jj,jk) / zhbl(ji,jj) |
---|
1556 | IF ( znd < 1.0 ) THEN |
---|
1557 | zdudz(ji,jj,jk) = zugrad * EXP( -40.0 * ( znd - 1.0 )**2 ) |
---|
1558 | ELSE |
---|
1559 | zdudz(ji,jj,jk) = zugrad * EXP( -20.0 * ( znd - 1.0 )**2 ) |
---|
1560 | ENDIF |
---|
1561 | zdvdz(ji,jj,jk) = zvgrad * EXP( -20.0 * ( znd - 0.85 )**2 ) |
---|
1562 | END DO |
---|
1563 | ENDIF |
---|
1564 | ! |
---|
1565 | END IF ! IF ( ibld(ji,jj) + ibld_ext < mbkt(ji,jj) ) |
---|
1566 | END DO |
---|
1567 | END DO |
---|
1568 | END SUBROUTINE zdf_osm_pycnocline_shear_profiles |
---|
1569 | |
---|
1570 | SUBROUTINE zdf_osm_calculate_dhdt( zdhdt, zdhdt_2 ) |
---|
1571 | !!--------------------------------------------------------------------- |
---|
1572 | !! *** ROUTINE zdf_osm_calculate_dhdt *** |
---|
1573 | !! |
---|
1574 | !! ** Purpose : Calculates the rate at which hbl changes. |
---|
1575 | !! |
---|
1576 | !! ** Method : |
---|
1577 | !! |
---|
1578 | !!---------------------------------------------------------------------- |
---|
1579 | |
---|
1580 | REAL(wp), DIMENSION(jpi,jpj) :: zdhdt, zdhdt_2 ! Rate of change of hbl |
---|
1581 | |
---|
1582 | INTEGER :: jj, ji |
---|
1583 | REAL(wp) :: zgamma_b_nd, zgamma_dh_nd, zpert |
---|
1584 | REAL(wp) :: zvel_max, zwb_min |
---|
1585 | REAL(wp) :: zwcor, zrf_conv, zrf_shear, zrf_langmuir, zr_stokes |
---|
1586 | REAL(wp) :: zzeta_m = 0.3 |
---|
1587 | REAL(wp) :: zgamma_c = 2.0 |
---|
1588 | REAL(wp) :: zdhoh = 0.1 |
---|
1589 | REAL(wp) :: alpha_bc = 0.5 |
---|
1590 | |
---|
1591 | DO jj = 2, jpjm1 |
---|
1592 | DO ji = 2, jpim1 |
---|
1593 | IF ( lconv(ji,jj) ) THEN ! Convective |
---|
1594 | ! Alan is this right? Yes, it's a bit different from the previous relationship |
---|
1595 | ! zwb_ent(ji,jj) = - 2.0 * 0.2 * zwbav(ji,jj) & |
---|
1596 | ! & - ( 0.15 * ( 1.0 - EXP( -1.5 * zla(ji,jj) ) ) * zustar(ji,jj)**3 + 0.03 * zwstrl(ji,jj)**3 ) / zhml(ji,jj) |
---|
1597 | zwcor = ABS(ff_t(ji,jj)) * zhbl(ji,jj) + epsln |
---|
1598 | zrf_conv = TANH( ( zwstrc(ji,jj) / zwcor )**0.69 ) |
---|
1599 | zrf_shear = TANH( ( zustar(ji,jj) / zwcor )**0.69 ) |
---|
1600 | zrf_langmuir = TANH( ( zwstrl(ji,jj) / zwcor )**0.69 ) |
---|
1601 | IF (nn_osm_SD_reduce > 0 ) THEN |
---|
1602 | ! Effective Stokes drift already reduced from surface value |
---|
1603 | zr_stokes = 1.0_wp |
---|
1604 | ELSE |
---|
1605 | ! Effective Stokes drift only reduced by factor rn_zdfodm_adjust_sd, |
---|
1606 | ! requires further reduction where BL is deep |
---|
1607 | zr_stokes = 1.0 - EXP( -25.0 * dstokes(ji,jj) / hbl(ji,jj) & |
---|
1608 | & * ( 1.0 + 4.0 * dstokes(ji,jj) / hbl(ji,jj) ) ) |
---|
1609 | END IF |
---|
1610 | |
---|
1611 | zwb_ent(ji,jj) = - 2.0 * 0.2 * zrf_conv * zwbav(ji,jj) & |
---|
1612 | & - 0.15 * zrf_shear * zustar(ji,jj)**3 /zhml(ji,jj) & |
---|
1613 | & + zr_stokes * ( 0.15 * EXP( -1.5 * zla(ji,jj) ) * zrf_shear * zustar(ji,jj)**3 & |
---|
1614 | & - zrf_langmuir * 0.03 * zwstrl(ji,jj)**3 ) / zhml(ji,jj) |
---|
1615 | ! |
---|
1616 | zwb_min = dh(ji,jj) * zwb0(ji,jj) / zhml(ji,jj) + zwb_ent(ji,jj) |
---|
1617 | |
---|
1618 | IF ( ln_osm_mle ) THEN |
---|
1619 | ! zwb_fk_b(ji,jj) = zwb_fk(ji,jj) * hmle(ji,jj) / ( 6.0 * hbl(ji,jj) ) * ( 6.0 * hbl(ji,jj) / hmle(ji,jj) - 1.0 + & |
---|
1620 | ! & ( 1.0 - 2.0 * hbl(ji,jj) / hmle(ji,jj))**3 ) ! Fox-Kemper buoyancy flux average over OSBL |
---|
1621 | IF ( hmle(ji,jj) > hbl(ji,jj) ) THEN |
---|
1622 | zwb_fk_b(ji,jj) = zwb_fk(ji,jj) * & |
---|
1623 | (1.0 + hmle(ji,jj) / ( 6.0 * hbl(ji,jj) ) * (-1.0 + ( 1.0 - 2.0 * hbl(ji,jj) / hmle(ji,jj))**3) ) |
---|
1624 | ELSE |
---|
1625 | zwb_fk_b(ji,jj) = 0.5 * zwb_fk(ji,jj) * hmle(ji,jj) / hbl(ji,jj) |
---|
1626 | ENDIF |
---|
1627 | zvel_max = ( zwstrl(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**p2third / hbl(ji,jj) |
---|
1628 | IF ( ( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) < 0.0 ) THEN |
---|
1629 | ! OSBL is deepening, entrainment > restratification |
---|
1630 | IF ( zdb_bl(ji,jj) > 0.0 .and. zdbdz_ext(ji,jj) > 0.0 ) THEN |
---|
1631 | zdhdt(ji,jj) = -( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) / ( zvel_max + MAX(zdb_bl(ji,jj), 1.0e-15) ) |
---|
1632 | ELSE |
---|
1633 | zdhdt(ji,jj) = -( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) / MAX( zvel_max, 1.0e-15) |
---|
1634 | ENDIF |
---|
1635 | ELSE |
---|
1636 | ! OSBL shoaling due to restratification flux. This is the velocity defined in Fox-Kemper et al (2008) |
---|
1637 | zdhdt(ji,jj) = - zvel_mle(ji,jj) |
---|
1638 | |
---|
1639 | |
---|
1640 | ENDIF |
---|
1641 | |
---|
1642 | ELSE |
---|
1643 | ! Fox-Kemper not used. |
---|
1644 | |
---|
1645 | zvel_max = - ( 1.0 + 1.0 * ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird * rn_rdt / hbl(ji,jj) ) * zwb_ent(ji,jj) / & |
---|
1646 | & MAX((zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird, epsln) |
---|
1647 | zdhdt(ji,jj) = -zwb_ent(ji,jj) / ( zvel_max + MAX(zdb_bl(ji,jj), 1.0e-15) ) |
---|
1648 | ! added ajgn 23 July as temporay fix |
---|
1649 | |
---|
1650 | ENDIF |
---|
1651 | |
---|
1652 | zdhdt_2(ji,jj) = 0._wp |
---|
1653 | |
---|
1654 | ! commented out ajgn 23 July as temporay fix |
---|
1655 | ! IF ( zdb_ml(ji,jj) > 0.0 .and. zdbdz_ext(ji,jj) > 0.0 ) THEN |
---|
1656 | ! !additional term to account for thickness of pycnocline on dhdt. Small correction, so could get rid of this if necessary. |
---|
1657 | ! zdh(ji,jj) = zhbl(ji,jj) - zhml(ji,jj) |
---|
1658 | ! zgamma_b_nd = zdbdz_ext(ji,jj) * zhml(ji,jj) / zdb_ml(ji,jj) |
---|
1659 | ! zgamma_dh_nd = zdbdz_ext(ji,jj) * zdh(ji,jj) / zdb_ml(ji,jj) |
---|
1660 | ! zdhdt_2(ji,jj) = ( 1.0 - SQRT( 3.1415 / ( 4.0 * zgamma_c) ) * zdhoh ) * zdh(ji,jj) / zhml(ji,jj) |
---|
1661 | ! zdhdt_2(ji,jj) = zdhdt_2(ji,jj) * ( zwb0(ji,jj) - (1.0 + zgamma_b_nd / alpha_bc ) * zwb_min ) |
---|
1662 | ! ! Alan no idea what this should be? |
---|
1663 | ! zdhdt_2(ji,jj) = alpha_bc / ( 4.0 * zgamma_c ) * zdhdt_2(ji,jj) & |
---|
1664 | ! & + (alpha_bc + zgamma_dh_nd ) * ( 1.0 + SQRT( 3.1414 / ( 4.0 * zgamma_c ) ) * zdh(ji,jj) / zhbl(ji,jj) ) & |
---|
1665 | ! & * (1.0 / ( 4.0 * zgamma_c * alpha_bc ) ) * zwb_min * zdh(ji,jj) / zhbl(ji,jj) |
---|
1666 | ! zdhdt_2(ji,jj) = zdhdt_2(ji,jj) / ( zvel_max + MAX( zdb_bl(ji,jj), 1.0e-15 ) ) |
---|
1667 | ! IF ( zdhdt_2(ji,jj) <= 0.2 * zdhdt(ji,jj) ) THEN |
---|
1668 | ! zdhdt(ji,jj) = zdhdt(ji,jj) + zdhdt_2(ji,jj) |
---|
1669 | ! ENDIF |
---|
1670 | ELSE ! Stable |
---|
1671 | zdhdt(ji,jj) = ( 0.06 + 0.52 * zhol(ji,jj) / 2.0 ) * zvstr(ji,jj)**3 / hbl(ji,jj) + zwbav(ji,jj) |
---|
1672 | zdhdt_2(ji,jj) = 0._wp |
---|
1673 | IF ( zdhdt(ji,jj) < 0._wp ) THEN |
---|
1674 | ! For long timsteps factor in brackets slows the rapid collapse of the OSBL |
---|
1675 | zpert = 2.0 * ( 1.0 + 0.0 * 2.0 * zvstr(ji,jj) * rn_rdt / hbl(ji,jj) ) * zvstr(ji,jj)**2 / hbl(ji,jj) |
---|
1676 | ELSE |
---|
1677 | zpert = MAX( 2.0 * ( 1.0 + 0.0 * 2.0 * zvstr(ji,jj) * rn_rdt / hbl(ji,jj) ) * zvstr(ji,jj)**2 / hbl(ji,jj), zdb_bl(ji,jj) ) |
---|
1678 | ENDIF |
---|
1679 | zdhdt(ji,jj) = 2.0 * zdhdt(ji,jj) / MAX(zpert, epsln) |
---|
1680 | ENDIF |
---|
1681 | END DO |
---|
1682 | END DO |
---|
1683 | END SUBROUTINE zdf_osm_calculate_dhdt |
---|
1684 | |
---|
1685 | SUBROUTINE zdf_osm_timestep_hbl( zdhdt, zdhdt_2 ) |
---|
1686 | !!--------------------------------------------------------------------- |
---|
1687 | !! *** ROUTINE zdf_osm_timestep_hbl *** |
---|
1688 | !! |
---|
1689 | !! ** Purpose : Increments hbl. |
---|
1690 | !! |
---|
1691 | !! ** Method : If thechange in hbl exceeds one model level the change is |
---|
1692 | !! is calculated by moving down the grid, changing the buoyancy |
---|
1693 | !! jump. This is to ensure that the change in hbl does not |
---|
1694 | !! overshoot a stable layer. |
---|
1695 | !! |
---|
1696 | !!---------------------------------------------------------------------- |
---|
1697 | |
---|
1698 | |
---|
1699 | REAL(wp), DIMENSION(jpi,jpj) :: zdhdt, zdhdt_2 ! rates of change of hbl. |
---|
1700 | |
---|
1701 | INTEGER :: jk, jj, ji, jm |
---|
1702 | REAL(wp) :: zhbl_s, zvel_max, zdb |
---|
1703 | REAL(wp) :: zthermal, zbeta |
---|
1704 | |
---|
1705 | DO jj = 2, jpjm1 |
---|
1706 | DO ji = 2, jpim1 |
---|
1707 | IF ( ibld(ji,jj) - imld(ji,jj) > 1 ) THEN |
---|
1708 | ! |
---|
1709 | ! If boundary layer changes by more than one level, need to check for stable layers between initial and final depths. |
---|
1710 | ! |
---|
1711 | zhbl_s = hbl(ji,jj) |
---|
1712 | jm = imld(ji,jj) |
---|
1713 | zthermal = rab_n(ji,jj,1,jp_tem) |
---|
1714 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
1715 | |
---|
1716 | |
---|
1717 | IF ( lconv(ji,jj) ) THEN |
---|
1718 | !unstable |
---|
1719 | |
---|
1720 | IF( ln_osm_mle ) THEN |
---|
1721 | zvel_max = ( zwstrl(ji,jj)**3 + zwstrc(ji,jj)**3 )**p2third / hbl(ji,jj) |
---|
1722 | ELSE |
---|
1723 | |
---|
1724 | zvel_max = -( 1.0 + 1.0 * ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird * rn_rdt / hbl(ji,jj) ) * zwb_ent(ji,jj) / & |
---|
1725 | & ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird |
---|
1726 | |
---|
1727 | ENDIF |
---|
1728 | |
---|
1729 | DO jk = imld(ji,jj), ibld(ji,jj) |
---|
1730 | zdb = MAX( grav * ( zthermal * ( zt_bl(ji,jj) - tsn(ji,jj,jm,jp_tem) ) & |
---|
1731 | & - zbeta * ( zs_bl(ji,jj) - tsn(ji,jj,jm,jp_sal) ) ), & |
---|
1732 | & 0.0 ) + zvel_max |
---|
1733 | |
---|
1734 | |
---|
1735 | IF ( ln_osm_mle ) THEN |
---|
1736 | zhbl_s = zhbl_s + MIN( & |
---|
1737 | & rn_rdt * ( ( -zwb_ent(ji,jj) - 2.0 * zwb_fk_b(ji,jj) )/ zdb + zdhdt_2(ji,jj) ) / FLOAT(ibld(ji,jj) - imld(ji,jj) ), & |
---|
1738 | & e3w_n(ji,jj,jm) ) |
---|
1739 | ELSE |
---|
1740 | zhbl_s = zhbl_s + MIN( & |
---|
1741 | & rn_rdt * ( -zwb_ent(ji,jj) / zdb + zdhdt_2(ji,jj) ) / FLOAT(ibld(ji,jj) - imld(ji,jj) ), & |
---|
1742 | & e3w_n(ji,jj,jm) ) |
---|
1743 | ENDIF |
---|
1744 | |
---|
1745 | zhbl_s = MIN(zhbl_s, gdepw_n(ji,jj, mbkt(ji,jj) + 1) - depth_tol) |
---|
1746 | |
---|
1747 | IF ( zhbl_s >= gdepw_n(ji,jj,jm+1) ) jm = jm + 1 |
---|
1748 | END DO |
---|
1749 | hbl(ji,jj) = zhbl_s |
---|
1750 | ibld(ji,jj) = jm |
---|
1751 | ELSE |
---|
1752 | ! stable |
---|
1753 | DO jk = imld(ji,jj), ibld(ji,jj) |
---|
1754 | zdb = MAX( & |
---|
1755 | & grav * ( zthermal * ( zt_bl(ji,jj) - tsn(ji,jj,jm,jp_tem) )& |
---|
1756 | & - zbeta * ( zs_bl(ji,jj) - tsn(ji,jj,jm,jp_sal) ) ),& |
---|
1757 | & 0.0 ) + & |
---|
1758 | & 2.0 * zvstr(ji,jj)**2 / zhbl_s |
---|
1759 | |
---|
1760 | ! Alan is thuis right? I have simply changed hbli to hbl |
---|
1761 | zhol(ji,jj) = -zhbl_s / ( ( zvstr(ji,jj)**3 + epsln )/ zwbav(ji,jj) ) |
---|
1762 | zdhdt(ji,jj) = -( zwbav(ji,jj) - 0.04 / 2.0 * zwstrl(ji,jj)**3 / zhbl_s - 0.15 / 2.0 * ( 1.0 - EXP( -1.5 * zla(ji,jj) ) ) * & |
---|
1763 | & zustar(ji,jj)**3 / zhbl_s ) * ( 0.725 + 0.225 * EXP( -7.5 * zhol(ji,jj) ) ) |
---|
1764 | zdhdt(ji,jj) = zdhdt(ji,jj) + zwbav(ji,jj) |
---|
1765 | zhbl_s = zhbl_s + MIN( zdhdt(ji,jj) / zdb * rn_rdt / FLOAT( ibld(ji,jj) - imld(ji,jj) ), e3w_n(ji,jj,jm) ) |
---|
1766 | |
---|
1767 | zhbl_s = MIN(zhbl_s, gdepw_n(ji,jj, mbkt(ji,jj) + 1) - depth_tol) |
---|
1768 | IF ( zhbl_s >= gdepw_n(ji,jj,jm) ) jm = jm + 1 |
---|
1769 | END DO |
---|
1770 | ENDIF ! IF ( lconv ) |
---|
1771 | hbl(ji,jj) = MAX(zhbl_s, gdepw_n(ji,jj,4) ) |
---|
1772 | ibld(ji,jj) = MAX(jm, 4 ) |
---|
1773 | ELSE |
---|
1774 | ! change zero or one model level. |
---|
1775 | hbl(ji,jj) = MAX(zhbl_t(ji,jj), gdepw_n(ji,jj,4) ) |
---|
1776 | ENDIF |
---|
1777 | zhbl(ji,jj) = gdepw_n(ji,jj,ibld(ji,jj)) |
---|
1778 | END DO |
---|
1779 | END DO |
---|
1780 | |
---|
1781 | END SUBROUTINE zdf_osm_timestep_hbl |
---|
1782 | |
---|
1783 | SUBROUTINE zdf_osm_pycnocline_thickness( dh, zdh ) |
---|
1784 | !!--------------------------------------------------------------------- |
---|
1785 | !! *** ROUTINE zdf_osm_pycnocline_thickness *** |
---|
1786 | !! |
---|
1787 | !! ** Purpose : Calculates thickness of the pycnocline |
---|
1788 | !! |
---|
1789 | !! ** Method : The thickness is calculated from a prognostic equation |
---|
1790 | !! that relaxes the pycnocine thickness to a diagnostic |
---|
1791 | !! value. The time change is calculated assuming the |
---|
1792 | !! thickness relaxes exponentially. This is done to deal |
---|
1793 | !! with large timesteps. |
---|
1794 | !! |
---|
1795 | !!---------------------------------------------------------------------- |
---|
1796 | |
---|
1797 | REAL(wp), DIMENSION(jpi,jpj) :: dh, zdh ! pycnocline thickness. |
---|
1798 | ! |
---|
1799 | INTEGER :: jj, ji |
---|
1800 | INTEGER :: inhml |
---|
1801 | REAL(wp) :: zari, ztau, zddhdt |
---|
1802 | |
---|
1803 | |
---|
1804 | DO jj = 2, jpjm1 |
---|
1805 | DO ji = 2, jpim1 |
---|
1806 | IF ( lconv(ji,jj) ) THEN |
---|
1807 | |
---|
1808 | IF( ln_osm_mle ) THEN |
---|
1809 | IF ( ( zwb_ent(ji,jj) + zwb_fk_b(ji,jj) ) < 0._wp ) THEN |
---|
1810 | ! OSBL is deepening. Note wb_fk_b is zero if ln_osm_mle=F |
---|
1811 | IF ( zdb_bl(ji,jj) > 0._wp .and. zdbdz_ext(ji,jj) > 0._wp)THEN |
---|
1812 | IF ( ( zwstrc(ji,jj) / MAX(zvstr(ji,jj), epsln) )**3 <= 0.5 ) THEN ! near neutral stability |
---|
1813 | zari = MIN( 1.5 * ( zdb_bl(ji,jj) / ( zdbdz_ext(ji,jj) * zhbl(ji,jj) ) ) / & |
---|
1814 | (1.0 + zdb_bl(ji,jj)**2 / MAX( 4.5 * zvstr(ji,jj)**2 * zdbdz_ext(ji,jj), epsln ) ), 0.2 ) |
---|
1815 | ELSE ! unstable |
---|
1816 | zari = MIN( 1.5 * ( zdb_bl(ji,jj) / ( zdbdz_ext(ji,jj) * zhbl(ji,jj) ) ) / & |
---|
1817 | (1.0 + zdb_bl(ji,jj)**2 / ( 4.5 * zwstrc(ji,jj)**2 * zdbdz_ext(ji,jj) ) ), 0.2 ) |
---|
1818 | ENDIF |
---|
1819 | ztau = 0.2 * hbl(ji,jj) / MAX(epsln, (zvstr(ji,jj)**3 + 0.5 *zwstrc(ji,jj)**3)**pthird) |
---|
1820 | zddhdt = zari * hbl(ji,jj) |
---|
1821 | ELSE |
---|
1822 | ztau = 0.2 * hbl(ji,jj) / MAX(epsln, (zvstr(ji,jj)**3 + 0.5 *zwstrc(ji,jj)**3)**pthird) |
---|
1823 | zddhdt = 0.2 * hbl(ji,jj) |
---|
1824 | ENDIF |
---|
1825 | ELSE |
---|
1826 | ztau = 0.2 * hbl(ji,jj) / MAX(epsln, (zvstr(ji,jj)**3 + 0.5 *zwstrc(ji,jj)**3)**pthird) |
---|
1827 | zddhdt = 0.2 * hbl(ji,jj) |
---|
1828 | ENDIF |
---|
1829 | ELSE ! ln_osm_mle |
---|
1830 | IF ( zdb_bl(ji,jj) > 0._wp .and. zdbdz_ext(ji,jj) > 0._wp)THEN |
---|
1831 | IF ( ( zwstrc(ji,jj) / MAX(zvstr(ji,jj), epsln) )**3 <= 0.5 ) THEN ! near neutral stability |
---|
1832 | zari = MIN( 1.5 * ( zdb_bl(ji,jj) / MAX( zdbdz_ext(ji,jj) * zhbl(ji,jj), epsln ) ) / & |
---|
1833 | (1.0 + zdb_bl(ji,jj)**2 / MAX(4.5 * zvstr(ji,jj)**2 * zdbdz_ext(ji,jj), epsln ) ), 0.2 ) |
---|
1834 | ELSE ! unstable |
---|
1835 | zari = MIN( 1.5 * ( zdb_bl(ji,jj) / MAX( zdbdz_ext(ji,jj) * zhbl(ji,jj), epsln ) ) / & |
---|
1836 | (1.0 + zdb_bl(ji,jj)**2 / MAX(4.5 * zvstr(ji,jj)**2 * zdbdz_ext(ji,jj), epsln ) ), 0.2 ) |
---|
1837 | ENDIF |
---|
1838 | ztau = hbl(ji,jj) / MAX(epsln, (zvstr(ji,jj)**3 + 0.5 *zwstrc(ji,jj)**3)**pthird) |
---|
1839 | zddhdt = zari * hbl(ji,jj) |
---|
1840 | ELSE |
---|
1841 | ztau = hbl(ji,jj) / MAX(epsln, (zvstr(ji,jj)**3 + 0.5 *zwstrc(ji,jj)**3)**pthird) |
---|
1842 | zddhdt = 0.2 * hbl(ji,jj) |
---|
1843 | ENDIF |
---|
1844 | |
---|
1845 | END IF ! ln_osm_mle |
---|
1846 | |
---|
1847 | dh(ji,jj) = dh(ji,jj) * EXP( -rn_rdt / ztau ) + zddhdt * ( 1.0 - EXP( -rn_rdt / ztau ) ) |
---|
1848 | ! Alan: this hml is never defined or used |
---|
1849 | ELSE ! IF (lconv) |
---|
1850 | ztau = hbl(ji,jj) / MAX(zvstr(ji,jj), epsln) |
---|
1851 | IF ( zdhdt(ji,jj) >= 0.0 ) THEN ! probably shouldn't include wm here |
---|
1852 | ! boundary layer deepening |
---|
1853 | IF ( zdb_bl(ji,jj) > 0._wp ) THEN |
---|
1854 | ! pycnocline thickness set by stratification - use same relationship as for neutral conditions. |
---|
1855 | zari = MIN( 4.5 * ( zvstr(ji,jj)**2 ) & |
---|
1856 | & / MAX(zdb_bl(ji,jj) * zhbl(ji,jj), epsln ) + 0.01 , 0.2 ) |
---|
1857 | zddhdt = MIN( zari, 0.2 ) * hbl(ji,jj) |
---|
1858 | ELSE |
---|
1859 | zddhdt = 0.2 * hbl(ji,jj) |
---|
1860 | ENDIF |
---|
1861 | ELSE ! IF(dhdt < 0) |
---|
1862 | zddhdt = 0.2 * hbl(ji,jj) |
---|
1863 | ENDIF ! IF (dhdt >= 0) |
---|
1864 | dh(ji,jj) = dh(ji,jj) * EXP( -rn_rdt / ztau )+ zddhdt * ( 1.0 - EXP( -rn_rdt / ztau ) ) |
---|
1865 | IF ( zdhdt(ji,jj) < 0._wp .and. dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zddhdt ! can be a problem with dh>hbl for rapid collapse |
---|
1866 | ! Alan: this hml is never defined or used -- do we need it? |
---|
1867 | ENDIF ! IF (lconv) |
---|
1868 | |
---|
1869 | hml(ji,jj) = hbl(ji,jj) - dh(ji,jj) |
---|
1870 | inhml = MAX( INT( dh(ji,jj) / e3t_n(ji,jj,ibld(ji,jj)) ) , 1 ) |
---|
1871 | imld(ji,jj) = MAX( ibld(ji,jj) - inhml, 3) |
---|
1872 | zhml(ji,jj) = gdepw_n(ji,jj,imld(ji,jj)) |
---|
1873 | zdh(ji,jj) = zhbl(ji,jj) - zhml(ji,jj) |
---|
1874 | END DO |
---|
1875 | END DO |
---|
1876 | |
---|
1877 | END SUBROUTINE zdf_osm_pycnocline_thickness |
---|
1878 | |
---|
1879 | |
---|
1880 | SUBROUTINE zdf_osm_zmld_horizontal_gradients( zmld, zdtdx, zdtdy, zdsdx, zdsdy, dbdx_mle, dbdy_mle ) |
---|
1881 | !!---------------------------------------------------------------------- |
---|
1882 | !! *** ROUTINE zdf_osm_horizontal_gradients *** |
---|
1883 | !! |
---|
1884 | !! ** Purpose : Calculates horizontal gradients of buoyancy for use with Fox-Kemper parametrization. |
---|
1885 | !! |
---|
1886 | !! ** Method : |
---|
1887 | !! |
---|
1888 | !! References: Fox-Kemper et al., JPO, 38, 1145-1165, 2008 |
---|
1889 | !! Fox-Kemper and Ferrari, JPO, 38, 1166-1179, 2008 |
---|
1890 | |
---|
1891 | |
---|
1892 | REAL(wp), DIMENSION(jpi,jpj) :: dbdx_mle, dbdy_mle ! MLE horiz gradients at u & v points |
---|
1893 | REAL(wp), DIMENSION(jpi,jpj) :: zmld ! == estimated FK BLD used for MLE horiz gradients == ! |
---|
1894 | REAL(wp), DIMENSION(jpi,jpj) :: zdtdx, zdtdy, zdsdx, zdsdy |
---|
1895 | |
---|
1896 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
1897 | INTEGER :: ii, ij, ik, ikmax ! local integers |
---|
1898 | REAL(wp) :: zc |
---|
1899 | REAL(wp) :: zN2_c ! local buoyancy difference from 10m value |
---|
1900 | REAL(wp), DIMENSION(jpi,jpj) :: ztm, zsm, zLf_NH, zLf_MH |
---|
1901 | REAL(wp), DIMENSION(jpi,jpj,jpts):: ztsm_midu, ztsm_midv, zabu, zabv |
---|
1902 | REAL(wp), DIMENSION(jpi,jpj) :: zmld_midu, zmld_midv |
---|
1903 | !!---------------------------------------------------------------------- |
---|
1904 | ! |
---|
1905 | ! !== MLD used for MLE ==! |
---|
1906 | |
---|
1907 | mld_prof(:,:) = nlb10 ! Initialization to the number of w ocean point |
---|
1908 | zmld(:,:) = 0._wp ! here hmlp used as a dummy variable, integrating vertically N^2 |
---|
1909 | zN2_c = grav * rn_osm_mle_rho_c * r1_rau0 ! convert density criteria into N^2 criteria |
---|
1910 | DO jk = nlb10, jpkm1 |
---|
1911 | DO jj = 1, jpj ! Mixed layer level: w-level |
---|
1912 | DO ji = 1, jpi |
---|
1913 | ikt = mbkt(ji,jj) |
---|
1914 | zmld(ji,jj) = zmld(ji,jj) + MAX( rn2b(ji,jj,jk) , 0._wp ) * e3w_n(ji,jj,jk) |
---|
1915 | IF( zmld(ji,jj) < zN2_c ) mld_prof(ji,jj) = MIN( jk , ikt ) + 1 ! Mixed layer level |
---|
1916 | END DO |
---|
1917 | END DO |
---|
1918 | END DO |
---|
1919 | DO jj = 1, jpj |
---|
1920 | DO ji = 1, jpi |
---|
1921 | mld_prof(ji,jj) = MAX(mld_prof(ji,jj),ibld(ji,jj)) |
---|
1922 | zmld(ji,jj) = gdepw_n(ji,jj,mld_prof(ji,jj)) |
---|
1923 | END DO |
---|
1924 | END DO |
---|
1925 | ! ensure mld_prof .ge. ibld |
---|
1926 | ! |
---|
1927 | ikmax = MIN( MAXVAL( mld_prof(:,:) ), jpkm1 ) ! max level of the computation |
---|
1928 | ! |
---|
1929 | ztm(:,:) = 0._wp |
---|
1930 | zsm(:,:) = 0._wp |
---|
1931 | DO jk = 1, ikmax ! MLD and mean buoyancy and N2 over the mixed layer |
---|
1932 | DO jj = 1, jpj |
---|
1933 | DO ji = 1, jpi |
---|
1934 | zc = e3t_n(ji,jj,jk) * REAL( MIN( MAX( 0, mld_prof(ji,jj)-jk ) , 1 ) ) ! zc being 0 outside the ML t-points |
---|
1935 | ztm(ji,jj) = ztm(ji,jj) + zc * tsn(ji,jj,jk,jp_tem) |
---|
1936 | zsm(ji,jj) = zsm(ji,jj) + zc * tsn(ji,jj,jk,jp_sal) |
---|
1937 | END DO |
---|
1938 | END DO |
---|
1939 | END DO |
---|
1940 | ! average temperature and salinity. |
---|
1941 | ztm(:,:) = ztm(:,:) / MAX( e3t_n(:,:,1), zmld(:,:) ) |
---|
1942 | zsm(:,:) = zsm(:,:) / MAX( e3t_n(:,:,1), zmld(:,:) ) |
---|
1943 | ! calculate horizontal gradients at u & v points |
---|
1944 | |
---|
1945 | DO jj = 2, jpjm1 |
---|
1946 | DO ji = 1, jpim1 |
---|
1947 | zdtdx(ji,jj) = ( ztm(ji+1,jj) - ztm( ji,jj) ) * umask(ji,jj,1) / e1u(ji,jj) |
---|
1948 | zdsdx(ji,jj) = ( zsm(ji+1,jj) - zsm( ji,jj) ) * umask(ji,jj,1) / e1u(ji,jj) |
---|
1949 | zmld_midu(ji,jj) = 0.25_wp * (zmld(ji+1,jj) + zmld( ji,jj)) |
---|
1950 | ztsm_midu(ji,jj,jp_tem) = 0.5_wp * ( ztm(ji+1,jj) + ztm( ji,jj) ) |
---|
1951 | ztsm_midu(ji,jj,jp_sal) = 0.5_wp * ( zsm(ji+1,jj) + zsm( ji,jj) ) |
---|
1952 | END DO |
---|
1953 | END DO |
---|
1954 | |
---|
1955 | DO jj = 1, jpjm1 |
---|
1956 | DO ji = 2, jpim1 |
---|
1957 | zdtdy(ji,jj) = ( ztm(ji,jj+1) - ztm( ji,jj) ) * vmask(ji,jj,1) / e1v(ji,jj) |
---|
1958 | zdsdy(ji,jj) = ( zsm(ji,jj+1) - zsm( ji,jj) ) * vmask(ji,jj,1) / e1v(ji,jj) |
---|
1959 | zmld_midv(ji,jj) = 0.25_wp * (zmld(ji,jj+1) + zmld( ji,jj)) |
---|
1960 | ztsm_midv(ji,jj,jp_tem) = 0.5_wp * ( ztm(ji,jj+1) + ztm( ji,jj) ) |
---|
1961 | ztsm_midv(ji,jj,jp_sal) = 0.5_wp * ( zsm(ji,jj+1) + zsm( ji,jj) ) |
---|
1962 | END DO |
---|
1963 | END DO |
---|
1964 | |
---|
1965 | CALL eos_rab(ztsm_midu, zmld_midu, zabu) |
---|
1966 | CALL eos_rab(ztsm_midv, zmld_midv, zabv) |
---|
1967 | |
---|
1968 | DO jj = 2, jpjm1 |
---|
1969 | DO ji = 1, jpim1 |
---|
1970 | dbdx_mle(ji,jj) = grav*(zdtdx(ji,jj)*zabu(ji,jj,jp_tem) - zdsdx(ji,jj)*zabu(ji,jj,jp_sal)) |
---|
1971 | END DO |
---|
1972 | END DO |
---|
1973 | DO jj = 1, jpjm1 |
---|
1974 | DO ji = 2, jpim1 |
---|
1975 | dbdy_mle(ji,jj) = grav*(zdtdy(ji,jj)*zabv(ji,jj,jp_tem) - zdsdy(ji,jj)*zabv(ji,jj,jp_sal)) |
---|
1976 | END DO |
---|
1977 | END DO |
---|
1978 | |
---|
1979 | END SUBROUTINE zdf_osm_zmld_horizontal_gradients |
---|
1980 | SUBROUTINE zdf_osm_mle_parameters( hmle, zwb_fk, zvel_mle, zdiff_mle ) |
---|
1981 | !!---------------------------------------------------------------------- |
---|
1982 | !! *** ROUTINE zdf_osm_mle_parameters *** |
---|
1983 | !! |
---|
1984 | !! ** Purpose : Timesteps the mixed layer eddy depth, hmle and calculates the mixed layer eddy fluxes for buoyancy, heat and salinity. |
---|
1985 | !! |
---|
1986 | !! ** Method : |
---|
1987 | !! |
---|
1988 | !! References: Fox-Kemper et al., JPO, 38, 1145-1165, 2008 |
---|
1989 | !! Fox-Kemper and Ferrari, JPO, 38, 1166-1179, 2008 |
---|
1990 | |
---|
1991 | REAL(wp), DIMENSION(jpi,jpj) :: hmle, zwb_fk, zvel_mle, zdiff_mle |
---|
1992 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
1993 | INTEGER :: ii, ij, ik ! local integers |
---|
1994 | INTEGER , DIMENSION(jpi,jpj) :: inml_mle |
---|
1995 | REAL(wp) :: zdb_mle, ztmp, zdbds_mle |
---|
1996 | |
---|
1997 | mld_prof(:,:) = 4 |
---|
1998 | DO jk = 5, jpkm1 |
---|
1999 | DO jj = 2, jpjm1 |
---|
2000 | DO ji = 2, jpim1 |
---|
2001 | IF ( hmle(ji,jj) >= gdepw_n(ji,jj,jk) ) mld_prof(ji,jj) = MIN(mbkt(ji,jj), jk) |
---|
2002 | END DO |
---|
2003 | END DO |
---|
2004 | END DO |
---|
2005 | ! DO jj = 2, jpjm1 |
---|
2006 | ! DO ji = 1, jpim1 |
---|
2007 | ! zhmle(ji,jj) = gdepw_n(ji,jj,mld_prof(ji,jj)) |
---|
2008 | ! END DO |
---|
2009 | ! END DO |
---|
2010 | ! Timestep mixed layer eddy depth. |
---|
2011 | DO jj = 2, jpjm1 |
---|
2012 | DO ji = 2, jpim1 |
---|
2013 | zdb_mle = grav * (rhop(ji,jj,mld_prof(ji,jj)) - rhop(ji,jj,ibld(ji,jj) )) * r1_rau0 ! check ALMG |
---|
2014 | IF ( lconv(ji,jj) .and. ( zdb_bl(ji,jj) < rn_osm_mle_thresh .and. mld_prof(ji,jj) > ibld(ji,jj) .and. zdb_mle > 0.0 ) ) THEN |
---|
2015 | hmle(ji,jj) = hmle(ji,jj) + zwb0(ji,jj) * rn_rdt / MAX( zdb_mle, rn_osm_mle_thresh ) ! MLE layer deepening through encroachment. Don't have a good maximum value for deepening, so use threshold buoyancy. |
---|
2016 | ELSE |
---|
2017 | ! MLE layer relaxes towards mixed layer depth on timescale tau_mle, or tau_mle/10 |
---|
2018 | ! IF ( hmle(ji,jj) > zmld(ji,jj) ) THEN |
---|
2019 | ! hmle(ji,jj) = hmle(ji,jj) - ( hmle(ji,jj) - zmld(ji,jj) ) * rn_rdt / rn_osm_mle_tau |
---|
2020 | ! ELSE |
---|
2021 | ! hmle(ji,jj) = hmle(ji,jj) - 10.0 * ( hmle(ji,jj) - zmld(ji,jj) ) * rn_rdt / rn_osm_mle_tau ! fast relaxation if MLE layer shallower than MLD |
---|
2022 | ! ENDIF |
---|
2023 | IF ( hmle(ji,jj) > hbl(ji,jj) ) THEN |
---|
2024 | hmle(ji,jj) = hmle(ji,jj) - ( hmle(ji,jj) - hbl(ji,jj) ) * rn_rdt / rn_osm_mle_tau |
---|
2025 | ELSE |
---|
2026 | hmle(ji,jj) = hmle(ji,jj) - 10.0 * ( hmle(ji,jj) - hbl(ji,jj) ) * rn_rdt / rn_osm_mle_tau ! fast relaxation if MLE layer shallower than MLD |
---|
2027 | ENDIF |
---|
2028 | ENDIF |
---|
2029 | hmle(ji,jj) = MIN(hmle(ji,jj), ht_n(ji,jj)) |
---|
2030 | IF(ln_osm_hmle_limit) hmle(ji,jj) = MIN(hmle(ji,jj), rn_osm_hmle_limit*zmld(ji,jj)) |
---|
2031 | END DO |
---|
2032 | END DO |
---|
2033 | |
---|
2034 | mld_prof = 4 |
---|
2035 | DO jk = 5, jpkm1 |
---|
2036 | DO jj = 2, jpjm1 |
---|
2037 | DO ji = 2, jpim1 |
---|
2038 | IF ( hmle(ji,jj) >= gdepw_n(ji,jj,jk) ) mld_prof(ji,jj) = MIN(mbkt(ji,jj), jk) |
---|
2039 | END DO |
---|
2040 | END DO |
---|
2041 | END DO |
---|
2042 | DO jj = 2, jpjm1 |
---|
2043 | DO ji = 2, jpim1 |
---|
2044 | zhmle(ji,jj) = gdepw_n(ji,jj, mld_prof(ji,jj)) |
---|
2045 | END DO |
---|
2046 | END DO |
---|
2047 | ! Calculate vertical buoyancy, heat and salinity fluxes due to MLE. |
---|
2048 | |
---|
2049 | DO jj = 2, jpjm1 |
---|
2050 | DO ji = 2, jpim1 |
---|
2051 | IF ( lconv(ji,jj) ) THEN |
---|
2052 | ztmp = r1_ft(ji,jj) * MIN( 111.e3_wp , e1u(ji,jj) ) / rn_osm_mle_lf |
---|
2053 | ! zwt_fk(ji,jj) = 0.5_wp * ztmp * ( dbdx_mle(ji,jj) * zdtdx(ji,jj) + dbdy_mle(ji,jj) * zdtdy(ji,jj) & |
---|
2054 | ! & + dbdx_mle(ji-1,jj) * zdtdx(ji-1,jj) + dbdy_mle(ji,jj-1) * zdtdy(ji,jj-1) ) |
---|
2055 | ! zws_fk(ji,jj) = 0.5_wp * ztmp * ( dbdx_mle(ji,jj) * zdsdx(ji,jj) + dbdy_mle(ji,jj) * zdsdy(ji,jj) & |
---|
2056 | ! & + dbdx_mle(ji-1,jj) * zdsdx(ji-1,jj) + dbdy_mle(ji,jj-1) * zdsdy(ji,jj-1) ) |
---|
2057 | zdbds_mle = SQRT( 0.5_wp * ( dbdx_mle(ji,jj) * dbdx_mle(ji,jj) + dbdy_mle(ji,jj) * dbdy_mle(ji,jj) & |
---|
2058 | & + dbdx_mle(ji-1,jj) * dbdx_mle(ji-1,jj) + dbdy_mle(ji,jj-1) * dbdy_mle(ji,jj-1) ) ) |
---|
2059 | zwb_fk(ji,jj) = rn_osm_mle_ce * hmle(ji,jj) * hmle(ji,jj) *ztmp * zdbds_mle * zdbds_mle |
---|
2060 | ! This velocity scale, defined in Fox-Kemper et al (2008), is needed for calculating dhdt. |
---|
2061 | zvel_mle(ji,jj) = zdbds_mle * ztmp * hmle(ji,jj) * tmask(ji,jj,1) |
---|
2062 | zdiff_mle(ji,jj) = 1.e-4_wp * ztmp * zdbds_mle * zhmle(ji,jj)**3 / rn_osm_mle_lf |
---|
2063 | ENDIF |
---|
2064 | END DO |
---|
2065 | END DO |
---|
2066 | END SUBROUTINE zdf_osm_mle_parameters |
---|
2067 | |
---|
2068 | END SUBROUTINE zdf_osm |
---|
2069 | |
---|
2070 | |
---|
2071 | SUBROUTINE zdf_osm_init |
---|
2072 | !!---------------------------------------------------------------------- |
---|
2073 | !! *** ROUTINE zdf_osm_init *** |
---|
2074 | !! |
---|
2075 | !! ** Purpose : Initialization of the vertical eddy diffivity and |
---|
2076 | !! viscosity when using a osm turbulent closure scheme |
---|
2077 | !! |
---|
2078 | !! ** Method : Read the namosm namelist and check the parameters |
---|
2079 | !! called at the first timestep (nit000) |
---|
2080 | !! |
---|
2081 | !! ** input : Namlist namosm |
---|
2082 | !!---------------------------------------------------------------------- |
---|
2083 | INTEGER :: ios ! local integer |
---|
2084 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
2085 | REAL z1_t2 |
---|
2086 | !! |
---|
2087 | NAMELIST/namzdf_osm/ ln_use_osm_la, rn_osm_la, rn_osm_dstokes, nn_ave & |
---|
2088 | & ,nn_osm_wave, ln_dia_osm, rn_osm_hbl0, rn_zdfosm_adjust_sd & |
---|
2089 | & ,ln_kpprimix, rn_riinfty, rn_difri, ln_convmix, rn_difconv, nn_osm_wave & |
---|
2090 | & ,nn_osm_SD_reduce, ln_osm_mle, rn_osm_hblfrac, ln_zdfosm_ice_shelter |
---|
2091 | ! Namelist for Fox-Kemper parametrization. |
---|
2092 | NAMELIST/namosm_mle/ nn_osm_mle, rn_osm_mle_ce, rn_osm_mle_lf, rn_osm_mle_time, rn_osm_mle_lat,& |
---|
2093 | & rn_osm_mle_rho_c, rn_osm_mle_thresh, rn_osm_mle_tau, ln_osm_hmle_limit, rn_osm_hmle_limit |
---|
2094 | |
---|
2095 | !!---------------------------------------------------------------------- |
---|
2096 | ! |
---|
2097 | REWIND( numnam_ref ) ! Namelist namzdf_osm in reference namelist : Osmosis ML model |
---|
2098 | READ ( numnam_ref, namzdf_osm, IOSTAT = ios, ERR = 901) |
---|
2099 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_osm in reference namelist' ) |
---|
2100 | |
---|
2101 | REWIND( numnam_cfg ) ! Namelist namzdf_tke in configuration namelist : Turbulent Kinetic Energy |
---|
2102 | READ ( numnam_cfg, namzdf_osm, IOSTAT = ios, ERR = 902 ) |
---|
2103 | 902 IF( ios > 0 ) CALL ctl_nam ( ios , 'namzdf_osm in configuration namelist' ) |
---|
2104 | IF(lwm) WRITE ( numond, namzdf_osm ) |
---|
2105 | |
---|
2106 | IF(lwp) THEN ! Control print |
---|
2107 | WRITE(numout,*) |
---|
2108 | WRITE(numout,*) 'zdf_osm_init : OSMOSIS Parameterisation' |
---|
2109 | WRITE(numout,*) '~~~~~~~~~~~~' |
---|
2110 | WRITE(numout,*) ' Namelist namzdf_osm : set osm mixing parameters' |
---|
2111 | WRITE(numout,*) ' Use rn_osm_la ln_use_osm_la = ', ln_use_osm_la |
---|
2112 | WRITE(numout,*) ' Use MLE in OBL, i.e. Fox-Kemper param ln_osm_mle = ', ln_osm_mle |
---|
2113 | WRITE(numout,*) ' Turbulent Langmuir number rn_osm_la = ', rn_osm_la |
---|
2114 | WRITE(numout,*) ' Stokes drift reduction factor rn_zdfosm_adjust_sd = ', rn_zdfosm_adjust_sd |
---|
2115 | WRITE(numout,*) ' Initial hbl for 1D runs rn_osm_hbl0 = ', rn_osm_hbl0 |
---|
2116 | WRITE(numout,*) ' Depth scale of Stokes drift rn_osm_dstokes = ', rn_osm_dstokes |
---|
2117 | WRITE(numout,*) ' horizontal average flag nn_ave = ', nn_ave |
---|
2118 | WRITE(numout,*) ' Stokes drift nn_osm_wave = ', nn_osm_wave |
---|
2119 | SELECT CASE (nn_osm_wave) |
---|
2120 | CASE(0) |
---|
2121 | WRITE(numout,*) ' calculated assuming constant La#=0.3' |
---|
2122 | CASE(1) |
---|
2123 | WRITE(numout,*) ' calculated from Pierson Moskowitz wind-waves' |
---|
2124 | CASE(2) |
---|
2125 | WRITE(numout,*) ' calculated from ECMWF wave fields' |
---|
2126 | END SELECT |
---|
2127 | WRITE(numout,*) ' Stokes drift reduction nn_osm_SD_reduce', nn_osm_SD_reduce |
---|
2128 | WRITE(numout,*) ' fraction of hbl to average SD over/fit' |
---|
2129 | WRITE(numout,*) ' exponential with nn_osm_SD_reduce = 1 or 2 rn_osm_hblfrac = ', rn_osm_hblfrac |
---|
2130 | SELECT CASE (nn_osm_SD_reduce) |
---|
2131 | CASE(0) |
---|
2132 | WRITE(numout,*) ' No reduction' |
---|
2133 | CASE(1) |
---|
2134 | WRITE(numout,*) ' Average SD over upper rn_osm_hblfrac of BL' |
---|
2135 | CASE(2) |
---|
2136 | WRITE(numout,*) ' Fit exponential to slope rn_osm_hblfrac of BL' |
---|
2137 | END SELECT |
---|
2138 | WRITE(numout,*) ' reduce surface SD and depth scale under ice ln_zdfosm_ice_shelter=', ln_zdfosm_ice_shelter |
---|
2139 | WRITE(numout,*) ' Output osm diagnostics ln_dia_osm = ', ln_dia_osm |
---|
2140 | WRITE(numout,*) ' Use KPP-style shear instability mixing ln_kpprimix = ', ln_kpprimix |
---|
2141 | WRITE(numout,*) ' local Richardson Number limit for shear instability rn_riinfty = ', rn_riinfty |
---|
2142 | WRITE(numout,*) ' maximum shear diffusivity at Rig = 0 (m2/s) rn_difri = ', rn_difri |
---|
2143 | WRITE(numout,*) ' Use large mixing below BL when unstable ln_convmix = ', ln_convmix |
---|
2144 | WRITE(numout,*) ' diffusivity when unstable below BL (m2/s) rn_difconv = ', rn_difconv |
---|
2145 | ENDIF |
---|
2146 | |
---|
2147 | ! ! allocate zdfosm arrays |
---|
2148 | IF( zdf_osm_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'zdf_osm_init : unable to allocate arrays' ) |
---|
2149 | |
---|
2150 | |
---|
2151 | IF( ln_osm_mle ) THEN |
---|
2152 | ! Initialise Fox-Kemper parametrization |
---|
2153 | REWIND( numnam_ref ) ! Namelist namosm_mle in reference namelist : Tracer advection scheme |
---|
2154 | READ ( numnam_ref, namosm_mle, IOSTAT = ios, ERR = 903) |
---|
2155 | 903 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namosm_mle in reference namelist') |
---|
2156 | |
---|
2157 | REWIND( numnam_cfg ) ! Namelist namosm_mle in configuration namelist : Tracer advection scheme |
---|
2158 | READ ( numnam_cfg, namosm_mle, IOSTAT = ios, ERR = 904 ) |
---|
2159 | 904 IF( ios > 0 ) CALL ctl_nam ( ios , 'namosm_mle in configuration namelist') |
---|
2160 | IF(lwm) WRITE ( numond, namosm_mle ) |
---|
2161 | |
---|
2162 | IF(lwp) THEN ! Namelist print |
---|
2163 | WRITE(numout,*) |
---|
2164 | WRITE(numout,*) 'zdf_osm_init : initialise mixed layer eddy (MLE)' |
---|
2165 | WRITE(numout,*) '~~~~~~~~~~~~~' |
---|
2166 | WRITE(numout,*) ' Namelist namosm_mle : ' |
---|
2167 | WRITE(numout,*) ' MLE type: =0 standard Fox-Kemper ; =1 new formulation nn_osm_mle = ', nn_osm_mle |
---|
2168 | WRITE(numout,*) ' magnitude of the MLE (typical value: 0.06 to 0.08) rn_osm_mle_ce = ', rn_osm_mle_ce |
---|
2169 | WRITE(numout,*) ' scale of ML front (ML radius of deformation) (nn_osm_mle=0) rn_osm_mle_lf = ', rn_osm_mle_lf, 'm' |
---|
2170 | WRITE(numout,*) ' maximum time scale of MLE (nn_osm_mle=0) rn_osm_mle_time = ', rn_osm_mle_time, 's' |
---|
2171 | WRITE(numout,*) ' reference latitude (degrees) of MLE coef. (nn_osm_mle=1) rn_osm_mle_lat = ', rn_osm_mle_lat, 'deg' |
---|
2172 | WRITE(numout,*) ' Density difference used to define ML for FK rn_osm_mle_rho_c = ', rn_osm_mle_rho_c |
---|
2173 | WRITE(numout,*) ' Threshold used to define ML for FK rn_osm_mle_thresh = ', rn_osm_mle_thresh, 'm^2/s' |
---|
2174 | WRITE(numout,*) ' Timescale for OSM-FK rn_osm_mle_tau = ', rn_osm_mle_tau, 's' |
---|
2175 | WRITE(numout,*) ' switch to limit hmle ln_osm_hmle_limit = ', ln_osm_hmle_limit |
---|
2176 | WRITE(numout,*) ' fraction of zmld to limit hmle to if ln_osm_hmle_limit =.T. rn_osm_hmle_limit = ', rn_osm_hmle_limit |
---|
2177 | ENDIF ! |
---|
2178 | ENDIF |
---|
2179 | ! |
---|
2180 | IF(lwp) THEN |
---|
2181 | WRITE(numout,*) |
---|
2182 | IF( ln_osm_mle ) THEN |
---|
2183 | WRITE(numout,*) ' ==>>> Mixed Layer Eddy induced transport added to OSMOSIS BL calculation' |
---|
2184 | IF( nn_osm_mle == 0 ) WRITE(numout,*) ' Fox-Kemper et al 2010 formulation' |
---|
2185 | IF( nn_osm_mle == 1 ) WRITE(numout,*) ' New formulation' |
---|
2186 | ELSE |
---|
2187 | WRITE(numout,*) ' ==>>> Mixed Layer induced transport NOT added to OSMOSIS BL calculation' |
---|
2188 | ENDIF |
---|
2189 | ENDIF |
---|
2190 | ! |
---|
2191 | IF( ln_osm_mle ) THEN ! MLE initialisation |
---|
2192 | ! |
---|
2193 | rb_c = grav * rn_osm_mle_rho_c /rau0 ! Mixed Layer buoyancy criteria |
---|
2194 | IF(lwp) WRITE(numout,*) |
---|
2195 | IF(lwp) WRITE(numout,*) ' ML buoyancy criteria = ', rb_c, ' m/s2 ' |
---|
2196 | IF(lwp) WRITE(numout,*) ' associated ML density criteria defined in zdfmxl = ', rn_osm_mle_rho_c, 'kg/m3' |
---|
2197 | ! |
---|
2198 | IF( nn_osm_mle == 0 ) THEN ! MLE array allocation & initialisation ! |
---|
2199 | ! |
---|
2200 | ELSEIF( nn_osm_mle == 1 ) THEN ! MLE array allocation & initialisation |
---|
2201 | rc_f = rn_osm_mle_ce/ ( 5.e3_wp * 2._wp * omega * SIN( rad * rn_osm_mle_lat ) ) |
---|
2202 | ! |
---|
2203 | ENDIF |
---|
2204 | ! ! 1/(f^2+tau^2)^1/2 at t-point (needed in both nn_osm_mle case) |
---|
2205 | z1_t2 = 2.e-5 |
---|
2206 | do jj=1,jpj |
---|
2207 | do ji = 1,jpi |
---|
2208 | r1_ft(ji,jj) = MIN(1./( ABS(ff_t(ji,jj)) + epsln ), ABS(ff_t(ji,jj))/z1_t2**2) |
---|
2209 | end do |
---|
2210 | end do |
---|
2211 | ! z1_t2 = 1._wp / ( rn_osm_mle_time * rn_osm_mle_timeji,jj ) |
---|
2212 | ! r1_ft(:,:) = 1._wp / SQRT( ff_t(:,:) * ff_t(:,:) + z1_t2 ) |
---|
2213 | ! |
---|
2214 | ENDIF |
---|
2215 | |
---|
2216 | call osm_rst( nit000, 'READ' ) !* read or initialize hbl, dh, hmle |
---|
2217 | |
---|
2218 | |
---|
2219 | IF( ln_zdfddm) THEN |
---|
2220 | IF(lwp) THEN |
---|
2221 | WRITE(numout,*) |
---|
2222 | WRITE(numout,*) ' Double diffusion mixing on temperature and salinity ' |
---|
2223 | WRITE(numout,*) ' CAUTION : done in routine zdfosm, not in routine zdfddm ' |
---|
2224 | ENDIF |
---|
2225 | ENDIF |
---|
2226 | |
---|
2227 | |
---|
2228 | !set constants not in namelist |
---|
2229 | !----------------------------- |
---|
2230 | |
---|
2231 | IF(lwp) THEN |
---|
2232 | WRITE(numout,*) |
---|
2233 | ENDIF |
---|
2234 | |
---|
2235 | IF (nn_osm_wave == 0) THEN |
---|
2236 | dstokes(:,:) = rn_osm_dstokes |
---|
2237 | END IF |
---|
2238 | |
---|
2239 | ! Horizontal average : initialization of weighting arrays |
---|
2240 | ! ------------------- |
---|
2241 | |
---|
2242 | SELECT CASE ( nn_ave ) |
---|
2243 | |
---|
2244 | CASE ( 0 ) ! no horizontal average |
---|
2245 | IF(lwp) WRITE(numout,*) ' no horizontal average on avt' |
---|
2246 | IF(lwp) WRITE(numout,*) ' only in very high horizontal resolution !' |
---|
2247 | ! weighting mean arrays etmean |
---|
2248 | ! ( 1 1 ) |
---|
2249 | ! avt = 1/4 ( 1 1 ) |
---|
2250 | ! |
---|
2251 | etmean(:,:,:) = 0.e0 |
---|
2252 | |
---|
2253 | DO jk = 1, jpkm1 |
---|
2254 | DO jj = 2, jpjm1 |
---|
2255 | DO ji = 2, jpim1 ! vector opt. |
---|
2256 | etmean(ji,jj,jk) = tmask(ji,jj,jk) & |
---|
2257 | & / MAX( 1., umask(ji-1,jj ,jk) + umask(ji,jj,jk) & |
---|
2258 | & + vmask(ji ,jj-1,jk) + vmask(ji,jj,jk) ) |
---|
2259 | END DO |
---|
2260 | END DO |
---|
2261 | END DO |
---|
2262 | |
---|
2263 | CASE ( 1 ) ! horizontal average |
---|
2264 | IF(lwp) WRITE(numout,*) ' horizontal average on avt' |
---|
2265 | ! weighting mean arrays etmean |
---|
2266 | ! ( 1/2 1 1/2 ) |
---|
2267 | ! avt = 1/8 ( 1 2 1 ) |
---|
2268 | ! ( 1/2 1 1/2 ) |
---|
2269 | etmean(:,:,:) = 0.e0 |
---|
2270 | |
---|
2271 | DO jk = 1, jpkm1 |
---|
2272 | DO jj = 2, jpjm1 |
---|
2273 | DO ji = 2, jpim1 ! vector opt. |
---|
2274 | etmean(ji,jj,jk) = tmask(ji, jj,jk) & |
---|
2275 | & / MAX( 1., 2.* tmask(ji,jj,jk) & |
---|
2276 | & +.5 * ( tmask(ji-1,jj+1,jk) + tmask(ji-1,jj-1,jk) & |
---|
2277 | & +tmask(ji+1,jj+1,jk) + tmask(ji+1,jj-1,jk) ) & |
---|
2278 | & +1. * ( tmask(ji-1,jj ,jk) + tmask(ji ,jj+1,jk) & |
---|
2279 | & +tmask(ji ,jj-1,jk) + tmask(ji+1,jj ,jk) ) ) |
---|
2280 | END DO |
---|
2281 | END DO |
---|
2282 | END DO |
---|
2283 | |
---|
2284 | CASE DEFAULT |
---|
2285 | WRITE(ctmp1,*) ' bad flag value for nn_ave = ', nn_ave |
---|
2286 | CALL ctl_stop( ctmp1 ) |
---|
2287 | |
---|
2288 | END SELECT |
---|
2289 | |
---|
2290 | ! Initialization of vertical eddy coef. to the background value |
---|
2291 | ! ------------------------------------------------------------- |
---|
2292 | DO jk = 1, jpk |
---|
2293 | avt (:,:,jk) = avtb(jk) * tmask(:,:,jk) |
---|
2294 | END DO |
---|
2295 | |
---|
2296 | ! zero the surface flux for non local term and osm mixed layer depth |
---|
2297 | ! ------------------------------------------------------------------ |
---|
2298 | ghamt(:,:,:) = 0. |
---|
2299 | ghams(:,:,:) = 0. |
---|
2300 | ghamu(:,:,:) = 0. |
---|
2301 | ghamv(:,:,:) = 0. |
---|
2302 | ! |
---|
2303 | IF( lwxios ) THEN |
---|
2304 | CALL iom_set_rstw_var_active('wn') |
---|
2305 | CALL iom_set_rstw_var_active('hbl') |
---|
2306 | CALL iom_set_rstw_var_active('dh') |
---|
2307 | IF( ln_osm_mle ) THEN |
---|
2308 | CALL iom_set_rstw_var_active('hmle') |
---|
2309 | END IF |
---|
2310 | ENDIF |
---|
2311 | END SUBROUTINE zdf_osm_init |
---|
2312 | |
---|
2313 | |
---|
2314 | SUBROUTINE osm_rst( kt, cdrw ) |
---|
2315 | !!--------------------------------------------------------------------- |
---|
2316 | !! *** ROUTINE osm_rst *** |
---|
2317 | !! |
---|
2318 | !! ** Purpose : Read or write BL fields in restart file |
---|
2319 | !! |
---|
2320 | !! ** Method : use of IOM library. If the restart does not contain |
---|
2321 | !! required fields, they are recomputed from stratification |
---|
2322 | !!---------------------------------------------------------------------- |
---|
2323 | |
---|
2324 | INTEGER, INTENT(in) :: kt |
---|
2325 | CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag |
---|
2326 | |
---|
2327 | INTEGER :: id1, id2, id3 ! iom enquiry index |
---|
2328 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
2329 | INTEGER :: iiki, ikt ! local integer |
---|
2330 | REAL(wp) :: zhbf ! tempory scalars |
---|
2331 | REAL(wp) :: zN2_c ! local scalar |
---|
2332 | REAL(wp) :: rho_c = 0.01_wp !: density criterion for mixed layer depth |
---|
2333 | INTEGER, DIMENSION(jpi,jpj) :: imld_rst ! level of mixed-layer depth (pycnocline top) |
---|
2334 | !!---------------------------------------------------------------------- |
---|
2335 | ! |
---|
2336 | !!----------------------------------------------------------------------------- |
---|
2337 | ! If READ/WRITE Flag is 'READ', try to get hbl from restart file. If successful then return |
---|
2338 | !!----------------------------------------------------------------------------- |
---|
2339 | IF( TRIM(cdrw) == 'READ'.AND. ln_rstart) THEN |
---|
2340 | id1 = iom_varid( numror, 'wn' , ldstop = .FALSE. ) |
---|
2341 | IF( id1 > 0 ) THEN ! 'wn' exists; read |
---|
2342 | CALL iom_get( numror, jpdom_autoglo, 'wn', wn, ldxios = lrxios ) |
---|
2343 | WRITE(numout,*) ' ===>>>> : wn read from restart file' |
---|
2344 | ELSE |
---|
2345 | wn(:,:,:) = 0._wp |
---|
2346 | WRITE(numout,*) ' ===>>>> : wn not in restart file, set to zero initially' |
---|
2347 | END IF |
---|
2348 | |
---|
2349 | id1 = iom_varid( numror, 'hbl' , ldstop = .FALSE. ) |
---|
2350 | id2 = iom_varid( numror, 'dh' , ldstop = .FALSE. ) |
---|
2351 | IF( id1 > 0 .AND. id2 > 0) THEN ! 'hbl' exists; read and return |
---|
2352 | CALL iom_get( numror, jpdom_autoglo, 'hbl' , hbl , ldxios = lrxios ) |
---|
2353 | CALL iom_get( numror, jpdom_autoglo, 'dh', dh, ldxios = lrxios ) |
---|
2354 | WRITE(numout,*) ' ===>>>> : hbl & dh read from restart file' |
---|
2355 | IF( ln_osm_mle ) THEN |
---|
2356 | id3 = iom_varid( numror, 'hmle' , ldstop = .FALSE. ) |
---|
2357 | IF( id3 > 0) THEN |
---|
2358 | CALL iom_get( numror, jpdom_autoglo, 'hmle' , hmle , ldxios = lrxios ) |
---|
2359 | WRITE(numout,*) ' ===>>>> : hmle read from restart file' |
---|
2360 | ELSE |
---|
2361 | WRITE(numout,*) ' ===>>>> : hmle not found, set to hbl' |
---|
2362 | hmle(:,:) = hbl(:,:) ! Initialise MLE depth. |
---|
2363 | END IF |
---|
2364 | END IF |
---|
2365 | RETURN |
---|
2366 | ELSE ! 'hbl' & 'dh' not in restart file, recalculate |
---|
2367 | WRITE(numout,*) ' ===>>>> : previous run without osmosis scheme, hbl computed from stratification' |
---|
2368 | END IF |
---|
2369 | END IF |
---|
2370 | |
---|
2371 | !!----------------------------------------------------------------------------- |
---|
2372 | ! If READ/WRITE Flag is 'WRITE', write hbl into the restart file, then return |
---|
2373 | !!----------------------------------------------------------------------------- |
---|
2374 | IF( TRIM(cdrw) == 'WRITE') THEN !* Write hbli into the restart file, then return |
---|
2375 | IF(lwp) WRITE(numout,*) '---- osm-rst ----' |
---|
2376 | CALL iom_rstput( kt, nitrst, numrow, 'wn' , wn, ldxios = lwxios ) |
---|
2377 | CALL iom_rstput( kt, nitrst, numrow, 'hbl' , hbl, ldxios = lwxios ) |
---|
2378 | CALL iom_rstput( kt, nitrst, numrow, 'dh' , dh, ldxios = lwxios ) |
---|
2379 | IF( ln_osm_mle ) THEN |
---|
2380 | CALL iom_rstput( kt, nitrst, numrow, 'hmle', hmle, ldxios = lwxios ) |
---|
2381 | END IF |
---|
2382 | RETURN |
---|
2383 | END IF |
---|
2384 | |
---|
2385 | !!----------------------------------------------------------------------------- |
---|
2386 | ! Getting hbl, no restart file with hbl, so calculate from surface stratification |
---|
2387 | !!----------------------------------------------------------------------------- |
---|
2388 | IF( lwp ) WRITE(numout,*) ' ===>>>> : calculating hbl computed from stratification' |
---|
2389 | ! w-level of the mixing and mixed layers |
---|
2390 | CALL eos_rab( tsn, rab_n ) |
---|
2391 | CALL bn2(tsn, rab_n, rn2) |
---|
2392 | imld_rst(:,:) = nlb10 ! Initialization to the number of w ocean point |
---|
2393 | hbl(:,:) = 0._wp ! here hbl used as a dummy variable, integrating vertically N^2 |
---|
2394 | zN2_c = grav * rho_c * r1_rau0 ! convert density criteria into N^2 criteria |
---|
2395 | ! |
---|
2396 | hbl(:,:) = 0._wp ! here hbl used as a dummy variable, integrating vertically N^2 |
---|
2397 | DO jk = 1, jpkm1 |
---|
2398 | DO jj = 1, jpj ! Mixed layer level: w-level |
---|
2399 | DO ji = 1, jpi |
---|
2400 | ikt = mbkt(ji,jj) |
---|
2401 | hbl(ji,jj) = hbl(ji,jj) + MAX( rn2(ji,jj,jk) , 0._wp ) * e3w_n(ji,jj,jk) |
---|
2402 | IF( hbl(ji,jj) < zN2_c ) imld_rst(ji,jj) = MIN( jk , ikt ) + 1 ! Mixed layer level |
---|
2403 | END DO |
---|
2404 | END DO |
---|
2405 | END DO |
---|
2406 | ! |
---|
2407 | DO jj = 1, jpj |
---|
2408 | DO ji = 1, jpi |
---|
2409 | iiki = MAX(4,imld_rst(ji,jj)) |
---|
2410 | hbl (ji,jj) = gdepw_n(ji,jj,iiki ) ! Turbocline depth |
---|
2411 | dh (ji,jj) = e3t_n(ji,jj,iiki-1 ) ! Turbocline depth |
---|
2412 | END DO |
---|
2413 | END DO |
---|
2414 | |
---|
2415 | WRITE(numout,*) ' ===>>>> : hbl computed from stratification' |
---|
2416 | |
---|
2417 | IF( ln_osm_mle ) THEN |
---|
2418 | hmle(:,:) = hbl(:,:) ! Initialise MLE depth. |
---|
2419 | WRITE(numout,*) ' ===>>>> : hmle set = to hbl' |
---|
2420 | END IF |
---|
2421 | |
---|
2422 | wn(:,:,:) = 0._wp |
---|
2423 | WRITE(numout,*) ' ===>>>> : wn not in restart file, set to zero initially' |
---|
2424 | END SUBROUTINE osm_rst |
---|
2425 | |
---|
2426 | |
---|
2427 | SUBROUTINE tra_osm( kt ) |
---|
2428 | !!---------------------------------------------------------------------- |
---|
2429 | !! *** ROUTINE tra_osm *** |
---|
2430 | !! |
---|
2431 | !! ** Purpose : compute and add to the tracer trend the non-local tracer flux |
---|
2432 | !! |
---|
2433 | !! ** Method : ??? |
---|
2434 | !!---------------------------------------------------------------------- |
---|
2435 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: ztrdt, ztrds ! 3D workspace |
---|
2436 | !!---------------------------------------------------------------------- |
---|
2437 | INTEGER, INTENT(in) :: kt |
---|
2438 | INTEGER :: ji, jj, jk |
---|
2439 | ! |
---|
2440 | IF( kt == nit000 ) THEN |
---|
2441 | IF(lwp) WRITE(numout,*) |
---|
2442 | IF(lwp) WRITE(numout,*) 'tra_osm : OSM non-local tracer fluxes' |
---|
2443 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
---|
2444 | ENDIF |
---|
2445 | |
---|
2446 | IF( l_trdtra ) THEN !* Save ta and sa trends |
---|
2447 | ALLOCATE( ztrdt(jpi,jpj,jpk) ) ; ztrdt(:,:,:) = tsa(:,:,:,jp_tem) |
---|
2448 | ALLOCATE( ztrds(jpi,jpj,jpk) ) ; ztrds(:,:,:) = tsa(:,:,:,jp_sal) |
---|
2449 | ENDIF |
---|
2450 | |
---|
2451 | DO jk = 1, jpkm1 |
---|
2452 | DO jj = 2, jpjm1 |
---|
2453 | DO ji = 2, jpim1 |
---|
2454 | tsa(ji,jj,jk,jp_tem) = tsa(ji,jj,jk,jp_tem) & |
---|
2455 | & - ( ghamt(ji,jj,jk ) & |
---|
2456 | & - ghamt(ji,jj,jk+1) ) /e3t_n(ji,jj,jk) |
---|
2457 | tsa(ji,jj,jk,jp_sal) = tsa(ji,jj,jk,jp_sal) & |
---|
2458 | & - ( ghams(ji,jj,jk ) & |
---|
2459 | & - ghams(ji,jj,jk+1) ) / e3t_n(ji,jj,jk) |
---|
2460 | END DO |
---|
2461 | END DO |
---|
2462 | END DO |
---|
2463 | |
---|
2464 | ! save the non-local tracer flux trends for diagnostics |
---|
2465 | IF( l_trdtra ) THEN |
---|
2466 | ztrdt(:,:,:) = tsa(:,:,:,jp_tem) - ztrdt(:,:,:) |
---|
2467 | ztrds(:,:,:) = tsa(:,:,:,jp_sal) - ztrds(:,:,:) |
---|
2468 | |
---|
2469 | CALL trd_tra( kt, 'TRA', jp_tem, jptra_osm, ztrdt ) |
---|
2470 | CALL trd_tra( kt, 'TRA', jp_sal, jptra_osm, ztrds ) |
---|
2471 | DEALLOCATE( ztrdt ) ; DEALLOCATE( ztrds ) |
---|
2472 | ENDIF |
---|
2473 | |
---|
2474 | IF(ln_ctl) THEN |
---|
2475 | CALL prt_ctl( tab3d_1=tsa(:,:,:,jp_tem), clinfo1=' osm - Ta: ', mask1=tmask, & |
---|
2476 | & tab3d_2=tsa(:,:,:,jp_sal), clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra' ) |
---|
2477 | ENDIF |
---|
2478 | ! |
---|
2479 | END SUBROUTINE tra_osm |
---|
2480 | |
---|
2481 | |
---|
2482 | SUBROUTINE trc_osm( kt ) ! Dummy routine |
---|
2483 | !!---------------------------------------------------------------------- |
---|
2484 | !! *** ROUTINE trc_osm *** |
---|
2485 | !! |
---|
2486 | !! ** Purpose : compute and add to the passive tracer trend the non-local |
---|
2487 | !! passive tracer flux |
---|
2488 | !! |
---|
2489 | !! |
---|
2490 | !! ** Method : ??? |
---|
2491 | !!---------------------------------------------------------------------- |
---|
2492 | ! |
---|
2493 | !!---------------------------------------------------------------------- |
---|
2494 | INTEGER, INTENT(in) :: kt |
---|
2495 | WRITE(*,*) 'trc_osm: Not written yet', kt |
---|
2496 | END SUBROUTINE trc_osm |
---|
2497 | |
---|
2498 | |
---|
2499 | SUBROUTINE dyn_osm( kt ) |
---|
2500 | !!---------------------------------------------------------------------- |
---|
2501 | !! *** ROUTINE dyn_osm *** |
---|
2502 | !! |
---|
2503 | !! ** Purpose : compute and add to the velocity trend the non-local flux |
---|
2504 | !! copied/modified from tra_osm |
---|
2505 | !! |
---|
2506 | !! ** Method : ??? |
---|
2507 | !!---------------------------------------------------------------------- |
---|
2508 | INTEGER, INTENT(in) :: kt ! |
---|
2509 | ! |
---|
2510 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
2511 | !!---------------------------------------------------------------------- |
---|
2512 | ! |
---|
2513 | IF( kt == nit000 ) THEN |
---|
2514 | IF(lwp) WRITE(numout,*) |
---|
2515 | IF(lwp) WRITE(numout,*) 'dyn_osm : OSM non-local velocity' |
---|
2516 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
---|
2517 | ENDIF |
---|
2518 | !code saving tracer trends removed, replace with trdmxl_oce |
---|
2519 | |
---|
2520 | DO jk = 1, jpkm1 ! add non-local u and v fluxes |
---|
2521 | DO jj = 2, jpjm1 |
---|
2522 | DO ji = 2, jpim1 |
---|
2523 | ua(ji,jj,jk) = ua(ji,jj,jk) & |
---|
2524 | & - ( ghamu(ji,jj,jk ) & |
---|
2525 | & - ghamu(ji,jj,jk+1) ) / e3u_n(ji,jj,jk) |
---|
2526 | va(ji,jj,jk) = va(ji,jj,jk) & |
---|
2527 | & - ( ghamv(ji,jj,jk ) & |
---|
2528 | & - ghamv(ji,jj,jk+1) ) / e3v_n(ji,jj,jk) |
---|
2529 | END DO |
---|
2530 | END DO |
---|
2531 | END DO |
---|
2532 | ! |
---|
2533 | ! code for saving tracer trends removed |
---|
2534 | ! |
---|
2535 | END SUBROUTINE dyn_osm |
---|
2536 | |
---|
2537 | !!====================================================================== |
---|
2538 | |
---|
2539 | END MODULE zdfosm |
---|