[8930] | 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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[14045] | 27 | !! (14) Buoyancy flux due to entrainment changed to include contribution from shear turbulence. |
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[8930] | 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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[14045] | 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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[8930] | 36 | !!---------------------------------------------------------------------- |
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[8946] | 37 | |
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[8930] | 38 | !!---------------------------------------------------------------------- |
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[10364] | 39 | !! 'ln_zdfosm' OSMOSIS scheme |
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[8930] | 40 | !!---------------------------------------------------------------------- |
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[14775] | 41 | !! zdf_osm : update momentum and tracer Kz from osm scheme |
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[14783] | 42 | !! zdf_osm_vertical_average : compute vertical averages over boundary layers |
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| 43 | !! zdf_osm_velocity_rotation : rotate velocity components |
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| 44 | !! zdf_osm_velocity_rotation_2d : rotation of 2d fields |
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| 45 | !! zdf_osm_velocity_rotation_3d : rotation of 3d fields |
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| 46 | !! zdf_osm_osbl_state : determine the state of the OSBL |
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| 47 | !! zdf_osm_external_gradients : calculate gradients below the OSBL |
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| 48 | !! zdf_osm_calculate_dhdt : calculate rate of change of hbl |
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| 49 | !! zdf_osm_timestep_hbl : hbl timestep |
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| 50 | !! zdf_osm_pycnocline_thickness : calculate thickness of pycnocline |
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| 51 | !! zdf_osm_diffusivity_viscosity : compute eddy diffusivity and viscosity profiles |
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| 52 | !! zdf_osm_fgr_terms : compute flux-gradient relationship terms |
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[14816] | 53 | !! zdf_osm_pycnocline_buoyancy_profiles : calculate pycnocline buoyancy profiles |
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[14785] | 54 | !! zdf_osm_zmld_horizontal_gradients : calculate horizontal buoyancy gradients for use with Fox-Kemper parametrization |
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| 55 | !! zdf_osm_osbl_state_fk : determine state of OSBL and MLE layers |
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| 56 | !! zdf_osm_mle_parameters : timestep MLE depth and calculate MLE fluxes |
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[14775] | 57 | !! zdf_osm_init : initialization, namelist read, and parameters control |
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[14798] | 58 | !! zdf_osm_alloc : memory allocation |
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[14775] | 59 | !! osm_rst : read (or initialize) and write osmosis restart fields |
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| 60 | !! tra_osm : compute and add to the T & S trend the non-local flux |
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| 61 | !! trc_osm : compute and add to the passive tracer trend the non-local flux (TBD) |
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| 62 | !! dyn_osm : compute and add to u & v trensd the non-local flux |
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[8930] | 63 | !!---------------------------------------------------------------------- |
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[14798] | 64 | USE oce ! Ocean dynamics and active tracers |
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| 65 | ! Uses ww from previous time step (which is now wb) to calculate hbl |
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| 66 | USE dom_oce ! Ocean space and time domain |
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| 67 | USE zdf_oce ! Ocean vertical physics |
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| 68 | USE sbc_oce ! Surface boundary condition: ocean |
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| 69 | USE sbcwave ! Surface wave parameters |
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| 70 | USE phycst ! Physical constants |
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| 71 | USE eosbn2 ! Equation of state |
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| 72 | USE traqsr ! Details of solar radiation absorption |
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| 73 | USE zdfdrg, ONLY : rCdU_bot ! Bottom friction velocity |
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| 74 | USE zdfddm ! Double diffusion mixing (avs array) |
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| 75 | USE iom ! I/O library |
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| 76 | USE lib_mpp ! MPP library |
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| 77 | USE trd_oce ! Ocean trends definition |
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| 78 | USE trdtra ! Tracers trends |
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| 79 | USE in_out_manager ! I/O manager |
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| 80 | USE lbclnk ! Ocean lateral boundary conditions (or mpp link) |
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| 81 | USE prtctl ! Print control |
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| 82 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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| 83 | USE timing, ONLY : timing_start, timing_stop ! Timer |
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[8930] | 84 | ! |
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| 85 | IMPLICIT NONE |
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| 86 | PRIVATE |
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[14798] | 87 | ! |
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| 88 | ! Public subroutines |
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| 89 | PUBLIC zdf_osm ! Routine called by step.F90 |
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| 90 | PUBLIC zdf_osm_init ! Routine called by nemogcm.F90 |
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| 91 | PUBLIC osm_rst ! Routine called by step.F90 |
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| 92 | PUBLIC tra_osm ! Routine called by step.F90 |
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| 93 | PUBLIC trc_osm ! Routine called by trcstp.F90 |
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| 94 | PUBLIC dyn_osm ! Routine called by step.F90 |
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| 95 | ! |
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| 96 | ! Public variables |
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| 97 | LOGICAL, PUBLIC :: ln_osm_mle !: Flag to activate the Mixed Layer Eddy (MLE) |
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| 98 | ! ! parameterisation, needed by tra_mle_init in |
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| 99 | ! ! tramle.F90 |
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| 100 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghamu !: Non-local u-momentum flux |
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| 101 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghamv !: Non-local v-momentum flux |
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| 102 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghamt !: Non-local temperature flux (gamma/<ws>o) |
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| 103 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghams !: Non-local salinity flux (gamma/<ws>o) |
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| 104 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hbl !: Boundary layer depth |
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| 105 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hml !: ML depth |
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| 106 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hmle !: Depth of layer affexted by mixed layer eddies in Fox-Kemper parametrization |
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| 107 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: dbdx_mle !: Zonal buoyancy gradient in ML |
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| 108 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: dbdy_mle !: Meridional buoyancy gradient in ML |
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| 109 | INTEGER, PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: mld_prof !: Level of base of MLE layer |
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| 110 | ! |
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[14775] | 111 | INTERFACE zdf_osm_velocity_rotation |
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| 112 | !!--------------------------------------------------------------------- |
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| 113 | !! *** INTERFACE zdf_velocity_rotation *** |
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| 114 | !!--------------------------------------------------------------------- |
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| 115 | MODULE PROCEDURE zdf_osm_velocity_rotation_2d |
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| 116 | MODULE PROCEDURE zdf_osm_velocity_rotation_3d |
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| 117 | END INTERFACE |
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[14798] | 118 | ! |
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| 119 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: etmean ! Averaging operator for avt |
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| 120 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: dh ! Depth of pycnocline |
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| 121 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: r1_ft ! Inverse of the modified Coriolis parameter at t-pts |
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| 122 | ! |
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| 123 | ! Layer indices |
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| 124 | INTEGER, ALLOCATABLE, SAVE, DIMENSION(:,:) :: nbld ! Level of boundary layer base |
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| 125 | INTEGER, ALLOCATABLE, SAVE, DIMENSION(:,:) :: nmld ! Level of mixed-layer depth (pycnocline top) |
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| 126 | ! |
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| 127 | ! Layer type |
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| 128 | INTEGER, ALLOCATABLE, SAVE, DIMENSION(:,:) :: n_ddh ! Type of shear layer |
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| 129 | ! ! n_ddh=0: active shear layer |
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| 130 | ! ! n_ddh=1: shear layer not active |
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| 131 | ! ! n_ddh=2: shear production low |
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| 132 | ! |
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| 133 | ! Layer flags |
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| 134 | LOGICAL, ALLOCATABLE, SAVE, DIMENSION(:,:) :: l_conv ! Unstable/stable bl |
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| 135 | LOGICAL, ALLOCATABLE, SAVE, DIMENSION(:,:) :: l_shear ! Shear layers |
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| 136 | LOGICAL, ALLOCATABLE, SAVE, DIMENSION(:,:) :: l_coup ! Coupling to bottom |
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| 137 | LOGICAL, ALLOCATABLE, SAVE, DIMENSION(:,:) :: l_pyc ! OSBL pycnocline present |
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| 138 | LOGICAL, ALLOCATABLE, SAVE, DIMENSION(:,:) :: l_flux ! Surface flux extends below OSBL into MLE layer |
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| 139 | LOGICAL, ALLOCATABLE, SAVE, DIMENSION(:,:) :: l_mle ! MLE layer increases in hickness. |
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| 140 | ! |
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[14775] | 141 | ! Scales |
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[14798] | 142 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: swth0 ! Surface heat flux (Kinematic) |
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| 143 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: sws0 ! Surface freshwater flux |
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| 144 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: swb0 ! Surface buoyancy flux |
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| 145 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: suw0 ! Surface u-momentum flux |
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| 146 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: sustar ! Friction velocity |
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| 147 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: scos_wind ! Cos angle of surface stress |
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| 148 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: ssin_wind ! Sin angle of surface stress |
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| 149 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: swthav ! Heat flux - bl average |
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| 150 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: swsav ! Freshwater flux - bl average |
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| 151 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: swbav ! Buoyancy flux - bl average |
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| 152 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: sustke ! Surface Stokes drift |
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| 153 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: dstokes ! Penetration depth of the Stokes drift |
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| 154 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: swstrl ! Langmuir velocity scale |
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| 155 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: swstrc ! Convective velocity scale |
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| 156 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: sla ! Trubulent Langmuir number |
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| 157 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: svstr ! Velocity scale that tends to sustar for large Langmuir number |
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| 158 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: shol ! Stability parameter for boundary layer |
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| 159 | ! |
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[14802] | 160 | ! Layer averages: BL |
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| 161 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_t_bl ! Temperature average |
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| 162 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_s_bl ! Salinity average |
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| 163 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_u_bl ! Velocity average (u) |
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| 164 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_v_bl ! Velocity average (v) |
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[14803] | 165 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_b_bl ! Buoyancy average |
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[14802] | 166 | ! |
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[14803] | 167 | ! Difference between layer average and parameter at the base of the layer: BL |
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| 168 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_dt_bl ! Temperature difference |
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| 169 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_ds_bl ! Salinity difference |
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| 170 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_du_bl ! Velocity difference (u) |
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| 171 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_dv_bl ! Velocity difference (v) |
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| 172 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_db_bl ! Buoyancy difference |
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| 173 | ! |
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[14802] | 174 | ! Layer averages: ML |
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| 175 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_t_ml ! Temperature average |
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| 176 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_s_ml ! Salinity average |
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| 177 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_u_ml ! Velocity average (u) |
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| 178 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_v_ml ! Velocity average (v) |
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[14803] | 179 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_b_ml ! Buoyancy average |
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[14802] | 180 | ! |
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[14803] | 181 | ! Difference between layer average and parameter at the base of the layer: ML |
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| 182 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_dt_ml ! Temperature difference |
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| 183 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_ds_ml ! Salinity difference |
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| 184 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_du_ml ! Velocity difference (u) |
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| 185 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_dv_ml ! Velocity difference (v) |
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| 186 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_db_ml ! Buoyancy difference |
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| 187 | ! |
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[14802] | 188 | ! Layer averages: MLE |
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| 189 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_t_mle ! Temperature average |
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| 190 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_s_mle ! Salinity average |
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| 191 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_u_mle ! Velocity average (u) |
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| 192 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_v_mle ! Velocity average (v) |
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[14803] | 193 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_b_mle ! Buoyancy average |
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[14802] | 194 | ! |
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[14816] | 195 | ! Diagnostic output |
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| 196 | REAL(WP), ALLOCATABLE, SAVE, DIMENSION(:,:) :: osmdia2d ! Auxiliary array for diagnostic output |
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| 197 | REAL(WP), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: osmdia3d ! Auxiliary array for diagnostic output |
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| 198 | ! |
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[14798] | 199 | ! ** Namelist namzdf_osm ** |
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| 200 | LOGICAL :: ln_use_osm_la ! Use namelist rn_osm_la |
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| 201 | REAL(wp) :: rn_osm_la ! Turbulent Langmuir number |
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| 202 | REAL(wp) :: rn_osm_dstokes ! Depth scale of Stokes drift |
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| 203 | REAL(wp) :: rn_zdfosm_adjust_sd = 1.0_wp ! Factor to reduce Stokes drift by |
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| 204 | REAL(wp) :: rn_osm_hblfrac = 0.1_wp ! For nn_osm_wave = 3/4 specify fraction in top of hbl |
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| 205 | LOGICAL :: ln_zdfosm_ice_shelter ! Flag to activate ice sheltering |
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| 206 | REAL(wp) :: rn_osm_hbl0 = 10.0_wp ! Initial value of hbl for 1D runs |
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| 207 | INTEGER :: nn_ave ! = 0/1 flag for horizontal average on avt |
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| 208 | INTEGER :: nn_osm_wave = 0 ! = 0/1/2 flag for getting stokes drift from La# / PM wind-waves/Inputs into |
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| 209 | ! ! sbcwave |
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| 210 | INTEGER :: nn_osm_SD_reduce ! = 0/1/2 flag for getting effective stokes drift from surface value |
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| 211 | LOGICAL :: ln_dia_osm ! Use namelist rn_osm_la |
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| 212 | LOGICAL :: ln_dia_pyc_scl = .FALSE. ! Output of pycnocline scalar-gradient profiles |
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| 213 | LOGICAL :: ln_dia_pyc_shr = .FALSE. ! Output of pycnocline velocity-shear profiles |
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| 214 | LOGICAL :: ln_kpprimix = .TRUE. ! Shear instability mixing |
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| 215 | REAL(wp) :: rn_riinfty = 0.7_wp ! Local Richardson Number limit for shear instability |
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| 216 | REAL(wp) :: rn_difri = 0.005_wp ! Maximum shear mixing at Rig = 0 (m2/s) |
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| 217 | LOGICAL :: ln_convmix = .TRUE. ! Convective instability mixing |
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| 218 | REAL(wp) :: rn_difconv = 1.0_wp ! Diffusivity when unstable below BL (m2/s) |
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| 219 | ! |
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[14571] | 220 | ! OSMOSIS mixed layer eddy parametrization constants |
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[14798] | 221 | INTEGER :: nn_osm_mle ! = 0/1 flag for horizontal average on avt |
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| 222 | REAL(wp) :: rn_osm_mle_ce ! MLE coefficient |
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| 223 | ! ! Parameters used in nn_osm_mle = 0 case |
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| 224 | REAL(wp) :: rn_osm_mle_lf ! Typical scale of mixed layer front |
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| 225 | REAL(wp) :: rn_osm_mle_time ! Time scale for mixing momentum across the mixed layer |
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| 226 | ! ! Parameters used in nn_osm_mle = 1 case |
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| 227 | REAL(wp) :: rn_osm_mle_lat ! Reference latitude for a 5 km scale of ML front |
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| 228 | LOGICAL :: ln_osm_hmle_limit ! If true arbitrarily restrict hmle to rn_osm_hmle_limit*zmld |
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| 229 | 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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| 230 | REAL(wp) :: rn_osm_mle_rho_c ! Density criterion for definition of MLD used by FK |
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| 231 | REAL(wp) :: rb_c ! ML buoyancy criteria = g rho_c /rho0 where rho_c is defined in zdfmld |
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| 232 | REAL(wp) :: rc_f ! MLE coefficient (= rn_ce / (5 km * fo) ) in nn_osm_mle=1 case |
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| 233 | REAL(wp) :: rn_osm_mle_thresh ! Threshold buoyancy for deepening of MLE layer below OSBL base |
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| 234 | REAL(wp) :: rn_osm_bl_thresh ! Threshold buoyancy for deepening of OSBL base |
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| 235 | REAL(wp) :: rn_osm_mle_tau ! Adjustment timescale for MLE |
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| 236 | ! |
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| 237 | ! ** General constants ** |
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| 238 | REAL(wp) :: epsln = 1.0e-20_wp ! A small positive number to ensure no div by zero |
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| 239 | 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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| 240 | REAL(wp) :: pthird = 1.0_wp/3.0_wp ! 1/3 |
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| 241 | REAL(wp) :: p2third = 2.0_wp/3.0_wp ! 2/3 |
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| 242 | ! |
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[12377] | 243 | !! * Substitutions |
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| 244 | # include "do_loop_substitute.h90" |
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[13237] | 245 | # include "domzgr_substitute.h90" |
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[8930] | 246 | !!---------------------------------------------------------------------- |
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[9598] | 247 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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[8930] | 248 | !! $Id$ |
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[10068] | 249 | !! Software governed by the CeCILL license (see ./LICENSE) |
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[8930] | 250 | !!---------------------------------------------------------------------- |
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| 251 | CONTAINS |
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[14802] | 252 | |
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[8930] | 253 | INTEGER FUNCTION zdf_osm_alloc() |
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| 254 | !!---------------------------------------------------------------------- |
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| 255 | !! *** FUNCTION zdf_osm_alloc *** |
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| 256 | !!---------------------------------------------------------------------- |
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[14758] | 257 | INTEGER :: ierr |
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| 258 | ! |
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[14798] | 259 | zdf_osm_alloc = 0 |
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[14758] | 260 | ! |
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[14798] | 261 | ALLOCATE( ghamu(jpi,jpj,jpk), ghamv(jpi,jpj,jpk), ghamt(jpi,jpj,jpk), ghams(jpi,jpj,jpk), hbl(jpi,jpj), hml(jpi,jpj), & |
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| 262 | & hmle(jpi,jpj), dbdx_mle(jpi,jpj), dbdy_mle(jpi,jpj), mld_prof(jpi,jpj), STAT=ierr ) |
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[14758] | 263 | zdf_osm_alloc = zdf_osm_alloc + ierr |
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| 264 | ! |
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[14816] | 265 | ALLOCATE( etmean(A2D(0),jpk), dh(jpi,jpj), r1_ft(A2D(0)), STAT=ierr ) |
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[14758] | 266 | zdf_osm_alloc = zdf_osm_alloc + ierr |
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| 267 | ! |
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[14816] | 268 | ALLOCATE( nbld(jpi,jpj), nmld(A2D(0)), STAT=ierr ) |
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[14798] | 269 | zdf_osm_alloc = zdf_osm_alloc + ierr |
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| 270 | ! |
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[14816] | 271 | ALLOCATE( n_ddh(A2D(0)), STAT=ierr ) |
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[14798] | 272 | zdf_osm_alloc = zdf_osm_alloc + ierr |
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| 273 | ! |
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[14816] | 274 | ALLOCATE( l_conv(A2D(0)), l_shear(A2D(0)), l_coup(A2D(0)), l_pyc(A2D(0)), l_flux(A2D(0)), l_mle(A2D(0)), STAT=ierr ) |
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[14798] | 275 | zdf_osm_alloc = zdf_osm_alloc + ierr |
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| 276 | ! |
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[14816] | 277 | ALLOCATE( swth0(A2D(0)), sws0(A2D(0)), swb0(A2D(0)), suw0(A2D(0)), sustar(A2D(0)), scos_wind(A2D(0)), & |
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| 278 | & ssin_wind(A2D(0)), swthav(A2D(0)), swsav(A2D(0)), swbav(A2D(0)), sustke(A2D(0)), dstokes(A2D(0)), & |
---|
| 279 | & swstrl(A2D(0)), swstrc(A2D(0)), sla(A2D(0)), svstr(A2D(0)), shol(A2D(0)), STAT=ierr ) |
---|
[14798] | 280 | zdf_osm_alloc = zdf_osm_alloc + ierr |
---|
| 281 | ! |
---|
[14816] | 282 | ALLOCATE( av_t_bl(A2D(0)), av_s_bl(A2D(0)), av_u_bl(A2D(0)), av_v_bl(A2D(0)), av_b_bl(A2D(0)), STAT=ierr) |
---|
[14802] | 283 | zdf_osm_alloc = zdf_osm_alloc + ierr |
---|
| 284 | ! |
---|
[14816] | 285 | ALLOCATE( av_dt_bl(A2D(0)), av_ds_bl(A2D(0)), av_du_bl(A2D(0)), av_dv_bl(A2D(0)), av_db_bl(A2D(0)), STAT=ierr) |
---|
[14803] | 286 | zdf_osm_alloc = zdf_osm_alloc + ierr |
---|
| 287 | ! |
---|
[14816] | 288 | ALLOCATE( av_t_ml(A2D(0)), av_s_ml(A2D(0)), av_u_ml(A2D(0)), av_v_ml(A2D(0)), av_b_ml(A2D(0)), STAT=ierr) |
---|
[14802] | 289 | zdf_osm_alloc = zdf_osm_alloc + ierr |
---|
| 290 | ! |
---|
[14816] | 291 | ALLOCATE( av_dt_ml(A2D(0)), av_ds_ml(A2D(0)), av_du_ml(A2D(0)), av_dv_ml(A2D(0)), av_db_ml(A2D(0)), STAT=ierr) |
---|
[14803] | 292 | zdf_osm_alloc = zdf_osm_alloc + ierr |
---|
| 293 | ! |
---|
[14816] | 294 | ALLOCATE( av_t_mle(A2D(0)), av_s_mle(A2D(0)), av_u_mle(A2D(0)), av_v_mle(A2D(0)), av_b_mle(A2D(0)), STAT=ierr) |
---|
[14802] | 295 | zdf_osm_alloc = zdf_osm_alloc + ierr |
---|
| 296 | ! |
---|
[14816] | 297 | IF ( ln_dia_osm ) THEN |
---|
| 298 | ALLOCATE( osmdia2d(jpi,jpj), osmdia3d(jpi,jpj,jpk), STAT=ierr ) |
---|
| 299 | zdf_osm_alloc = zdf_osm_alloc + ierr |
---|
| 300 | END IF |
---|
| 301 | ! |
---|
[14571] | 302 | CALL mpp_sum ( 'zdfosm', zdf_osm_alloc ) |
---|
[14798] | 303 | IF( zdf_osm_alloc /= 0 ) CALL ctl_warn( 'zdf_osm_alloc: failed to allocate zdf_osm arrays' ) |
---|
[14758] | 304 | ! |
---|
[8930] | 305 | END FUNCTION zdf_osm_alloc |
---|
[14802] | 306 | |
---|
[14798] | 307 | SUBROUTINE zdf_osm( kt, Kbb, Kmm, Krhs, p_avm, & |
---|
| 308 | & p_avt ) |
---|
[8930] | 309 | !!---------------------------------------------------------------------- |
---|
| 310 | !! *** ROUTINE zdf_osm *** |
---|
| 311 | !! |
---|
| 312 | !! ** Purpose : Compute the vertical eddy viscosity and diffusivity |
---|
| 313 | !! coefficients and non local mixing using the OSMOSIS scheme |
---|
| 314 | !! |
---|
| 315 | !! ** Method : The boundary layer depth hosm is diagnosed at tracer points |
---|
| 316 | !! from profiles of buoyancy, and shear, and the surface forcing. |
---|
| 317 | !! Above hbl (sigma=-z/hbl <1) the mixing coefficients are computed from |
---|
| 318 | !! |
---|
| 319 | !! Kx = hosm Wx(sigma) G(sigma) |
---|
| 320 | !! |
---|
| 321 | !! and the non local term ghamt = Cs / Ws(sigma) / hosm |
---|
| 322 | !! Below hosm the coefficients are the sum of mixing due to internal waves |
---|
| 323 | !! shear instability and double diffusion. |
---|
| 324 | !! |
---|
| 325 | !! -1- Compute the now interior vertical mixing coefficients at all depths. |
---|
| 326 | !! -2- Diagnose the boundary layer depth. |
---|
| 327 | !! -3- Compute the now boundary layer vertical mixing coefficients. |
---|
| 328 | !! -4- Compute the now vertical eddy vicosity and diffusivity. |
---|
| 329 | !! -5- Smoothing |
---|
| 330 | !! |
---|
| 331 | !! N.B. The computation is done from jk=2 to jpkm1 |
---|
| 332 | !! Surface value of avt are set once a time to zero |
---|
| 333 | !! in routine zdf_osm_init. |
---|
| 334 | !! |
---|
| 335 | !! ** Action : update the non-local terms ghamts |
---|
| 336 | !! update avt (before vertical eddy coef.) |
---|
| 337 | !! |
---|
| 338 | !! References : Large W.G., Mc Williams J.C. and Doney S.C. |
---|
| 339 | !! Reviews of Geophysics, 32, 4, November 1994 |
---|
| 340 | !! Comments in the code refer to this paper, particularly |
---|
| 341 | !! the equation number. (LMD94, here after) |
---|
| 342 | !!---------------------------------------------------------------------- |
---|
[14802] | 343 | INTEGER , INTENT(in ) :: kt ! Ocean time step |
---|
| 344 | INTEGER , INTENT(in ) :: Kbb, Kmm, Krhs ! Ocean time level indices |
---|
| 345 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: p_avm, p_avt ! Momentum and tracer Kz (w-points) |
---|
| 346 | ! |
---|
| 347 | ! Local variables |
---|
| 348 | INTEGER :: ji, jj, jk, jl, jm, jkflt ! Dummy loop indices |
---|
| 349 | ! |
---|
| 350 | REAL(wp) :: zthermal, zbeta |
---|
| 351 | REAL(wp) :: zesh2, zri, zfri ! Interior Richardson mixing |
---|
| 352 | ! |
---|
[14571] | 353 | ! Scales |
---|
[14802] | 354 | REAL(wp), DIMENSION(A2D(0)) :: zrad0 ! Surface solar temperature flux (deg m/s) |
---|
| 355 | REAL(wp), DIMENSION(A2D(0)) :: zradh ! Radiative flux at bl base (Buoyancy units) |
---|
| 356 | REAL(wp) :: zradav ! Radiative flux, bl average (Buoyancy Units) |
---|
| 357 | REAL(wp) :: zvw0 ! Surface v-momentum flux |
---|
| 358 | REAL(wp), DIMENSION(A2D(0)) :: zwb0tot ! Total surface buoyancy flux including insolation |
---|
[14816] | 359 | REAL(wp), DIMENSION(A2D(0)) :: zwb_ent ! Buoyancy entrainment flux |
---|
| 360 | REAL(wp), DIMENSION(A2D(0)) :: zwb_min |
---|
| 361 | REAL(wp), DIMENSION(A2D(0)) :: zwb_fk_b ! MLE buoyancy flux averaged over OSBL |
---|
| 362 | REAL(wp), DIMENSION(A2D(0)) :: zwb_fk ! Max MLE buoyancy flux |
---|
| 363 | REAL(wp), DIMENSION(A2D(0)) :: zdiff_mle ! Extra MLE vertical diff |
---|
| 364 | REAL(wp), DIMENSION(A2D(0)) :: zvel_mle ! Velocity scale for dhdt with stable ML and FK |
---|
[14802] | 365 | ! |
---|
[8930] | 366 | ! mixed-layer variables |
---|
[14816] | 367 | INTEGER, DIMENSION(A2D(0)) :: jp_ext ! Offset for external level |
---|
[14802] | 368 | ! |
---|
[14816] | 369 | REAL(wp), DIMENSION(A2D(0)) :: zhbl ! BL depth - grid |
---|
| 370 | REAL(wp), DIMENSION(A2D(0)) :: zhml ! ML depth - grid |
---|
[14802] | 371 | ! |
---|
[14816] | 372 | REAL(wp), DIMENSION(A2D(0)) :: zhmle ! MLE depth - grid |
---|
[14802] | 373 | REAL(wp), DIMENSION(jpi,jpj) :: zmld ! ML depth on grid |
---|
| 374 | ! |
---|
[14816] | 375 | REAL(wp), DIMENSION(A2D(0)) :: zdh ! Pycnocline depth - grid |
---|
[14802] | 376 | REAL(wp), DIMENSION(A2D(0)) :: zdhdt ! BL depth tendency |
---|
| 377 | REAL(wp), DIMENSION(A2D(0)) :: zdtdz_bl_ext, zdsdz_bl_ext, zdbdz_bl_ext ! External temperature/salinity and buoyancy gradients |
---|
[14816] | 378 | REAL(wp), DIMENSION(jpi,jpj) :: zdtdx, zdtdy, zdsdx, zdsdy ! Horizontal gradients for Fox-Kemper parametrization |
---|
[14802] | 379 | ! |
---|
[14816] | 380 | REAL(wp), DIMENSION(A2D(0)) :: zdbds_mle ! Magnitude of horizontal buoyancy gradient |
---|
[8930] | 381 | ! Flux-gradient relationship variables |
---|
[14816] | 382 | REAL(wp), DIMENSION(A2D(0)) :: zshear ! Shear production |
---|
[14802] | 383 | ! |
---|
[14816] | 384 | REAL(wp), DIMENSION(A2D(0)) :: zhbl_t ! Holds boundary layer depth updated by full timestep |
---|
[14802] | 385 | ! |
---|
[8930] | 386 | ! For calculating Ri#-dependent mixing |
---|
[14305] | 387 | REAL(wp), DIMENSION(jpi,jpj) :: z2du ! u-shear^2 |
---|
| 388 | REAL(wp), DIMENSION(jpi,jpj) :: z2dv ! v-shear^2 |
---|
| 389 | REAL(wp) :: zrimix ! Spatial form of ri#-induced diffusion |
---|
[14802] | 390 | ! |
---|
[8930] | 391 | ! Temporary variables |
---|
[14816] | 392 | REAL(wp) :: znd ! Temporary non-dimensional depth |
---|
| 393 | REAL(wp) :: zz0, zz1, zfac |
---|
| 394 | REAL(wp) :: zus_x, zus_y ! Temporary Stokes drift |
---|
| 395 | REAL(wp), DIMENSION(A2D(0),jpk) :: zviscos ! Viscosity |
---|
| 396 | REAL(wp), DIMENSION(A2D(0),jpk) :: zdiffut ! t-diffusivity |
---|
| 397 | REAL(wp) :: zabsstke |
---|
| 398 | REAL(wp) :: zsqrtpi, z_two_thirds, zthickness |
---|
| 399 | REAL(wp) :: z2k_times_thickness, zsqrt_depth, zexp_depth, zf, zexperfc |
---|
[14802] | 400 | ! |
---|
[8930] | 401 | ! For debugging |
---|
[14802] | 402 | REAL(wp), PARAMETER :: pp_large = -1e10_wp |
---|
[8930] | 403 | ! |
---|
[14149] | 404 | IF( ln_timing ) CALL timing_start('zdf_osm') |
---|
[8930] | 405 | ! |
---|
[14816] | 406 | nbld(:,:) = 0 |
---|
| 407 | nmld(:,:) = 0 |
---|
| 408 | sustke(:,:) = pp_large |
---|
| 409 | l_pyc(:,:) = .FALSE. |
---|
| 410 | l_flux(:,:) = .FALSE. |
---|
| 411 | l_mle(:,:) = .FALSE. |
---|
[14802] | 412 | ! Mixed layer |
---|
| 413 | ! No initialization of zhbl or zhml (or zdh?) |
---|
| 414 | zhbl(:,:) = pp_large ; zhml(:,:) = pp_large ; zdh(:,:) = pp_large |
---|
| 415 | ! |
---|
| 416 | IF ( ln_osm_mle ) THEN ! Only initialise arrays if needed |
---|
| 417 | zdtdx(:,:) = pp_large ; zdtdy(:,:) = pp_large ; zdsdx(:,:) = pp_large |
---|
| 418 | zdsdy(:,:) = pp_large ; dbdx_mle(:,:) = pp_large ; dbdy_mle(:,:) = pp_large |
---|
[14816] | 419 | zwb_fk(:,:) = pp_large ; zvel_mle(:,:) = pp_large |
---|
[14802] | 420 | zhmle(:,:) = pp_large ; zmld(:,:) = pp_large |
---|
[14045] | 421 | ENDIF |
---|
[14802] | 422 | zhbl_t(:,:) = pp_large |
---|
| 423 | ! |
---|
[14816] | 424 | zdiffut(:,:,:) = 0.0_wp |
---|
| 425 | zviscos(:,:,:) = 0.0_wp |
---|
| 426 | ! |
---|
[14802] | 427 | ghamt(:,:,:) = pp_large ; ghams(:,:,:) = pp_large |
---|
| 428 | ghamt(A2D(0),:) = 0.0_wp ; ghams(A2D(0),:) = 0.0_wp |
---|
| 429 | ghamu(:,:,:) = pp_large ; ghamv(:,:,:) = pp_large |
---|
| 430 | ghamu(A2D(0),:) = 0.0_wp ; ghamv(A2D(0),:) = 0.0_wp |
---|
| 431 | ! |
---|
[14816] | 432 | zdiff_mle(:,:) = 0.0_wp |
---|
| 433 | ! |
---|
[8930] | 434 | ! hbl = MAX(hbl,epsln) |
---|
| 435 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
| 436 | ! Calculate boundary layer scales |
---|
| 437 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
[14305] | 438 | ! |
---|
| 439 | ! Turbulent surface fluxes and fluxes averaged over depth of the OSBL |
---|
| 440 | zz0 = rn_abs ! Assume two-band radiation model for depth of OSBL - surface equi-partition in 2-bands |
---|
| 441 | zz1 = 1.0_wp - rn_abs |
---|
| 442 | DO_2D( 0, 0, 0, 0 ) |
---|
[14802] | 443 | zrad0(ji,jj) = qsr(ji,jj) * r1_rho0_rcp ! Surface downward irradiance (so always +ve) |
---|
[14557] | 444 | zradh(ji,jj) = zrad0(ji,jj) * & ! Downwards irradiance at base of boundary layer |
---|
[14305] | 445 | & ( zz0 * EXP( -1.0_wp * hbl(ji,jj) / rn_si0 ) + zz1 * EXP( -1.0_wp * hbl(ji,jj) / rn_si1 ) ) |
---|
[14802] | 446 | zradav = zrad0(ji,jj) * & ! Downwards irradiance averaged |
---|
| 447 | & ( zz0 * ( 1.0_wp - EXP( -hbl(ji,jj)/rn_si0 ) ) * rn_si0 + & ! over depth of the OSBL |
---|
| 448 | & zz1 * ( 1.0_wp - EXP( -hbl(ji,jj)/rn_si1 ) ) * rn_si1 ) / hbl(ji,jj) |
---|
| 449 | swth0(ji,jj) = - qns(ji,jj) * r1_rho0_rcp * tmask(ji,jj,1) ! Upwards surface Temperature flux for non-local term |
---|
| 450 | swthav(ji,jj) = 0.5_wp * swth0(ji,jj) - ( 0.5_wp * ( zrad0(ji,jj) + zradh(ji,jj) ) - & ! Turbulent heat flux averaged |
---|
| 451 | & zradav ) ! over depth of OSBL |
---|
[14571] | 452 | END_2D |
---|
| 453 | DO_2D( 0, 0, 0, 0 ) |
---|
[14802] | 454 | sws0(ji,jj) = -1.0_wp * ( ( emp(ji,jj) - rnf(ji,jj) ) * ts(ji,jj,1,jp_sal,Kmm) + & ! Upwards surface salinity flux |
---|
| 455 | & sfx(ji,jj) ) * r1_rho0 * tmask(ji,jj,1) ! for non-local term |
---|
[14571] | 456 | zthermal = rab_n(ji,jj,1,jp_tem) |
---|
| 457 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
[14802] | 458 | swb0(ji,jj) = grav * zthermal * swth0(ji,jj) - grav * zbeta * sws0(ji,jj) ! Non radiative upwards surface buoyancy flux |
---|
| 459 | zwb0tot(ji,jj) = swb0(ji,jj) - grav * zthermal * ( zrad0(ji,jj) - zradh(ji,jj) ) ! Total upwards surface buoyancy flux |
---|
| 460 | swsav(ji,jj) = 0.5_wp * sws0(ji,jj) ! Turbulent salinity flux averaged over depth of the OBSL |
---|
[14758] | 461 | swbav(ji,jj) = grav * zthermal * swthav(ji,jj) - & ! Turbulent buoyancy flux averaged over the depth of the |
---|
| 462 | & grav * zbeta * swsav(ji,jj) ! OBSBL |
---|
[14571] | 463 | END_2D |
---|
| 464 | DO_2D( 0, 0, 0, 0 ) |
---|
[14802] | 465 | suw0(ji,jj) = -0.5_wp * (utau(ji-1,jj) + utau(ji,jj)) * r1_rho0 * tmask(ji,jj,1) ! Surface upward velocity fluxes |
---|
| 466 | zvw0 = -0.5_wp * (vtau(ji,jj-1) + vtau(ji,jj)) * r1_rho0 * tmask(ji,jj,1) |
---|
| 467 | sustar(ji,jj) = MAX( SQRT( SQRT( suw0(ji,jj) * suw0(ji,jj) + zvw0 * zvw0 ) ), & ! Friction velocity (sustar), at |
---|
| 468 | & 1e-8_wp ) ! T-point : LMD94 eq. 2 |
---|
| 469 | scos_wind(ji,jj) = -1.0_wp * suw0(ji,jj) / ( sustar(ji,jj) * sustar(ji,jj) ) |
---|
| 470 | ssin_wind(ji,jj) = -1.0_wp * zvw0 / ( sustar(ji,jj) * sustar(ji,jj) ) |
---|
[14571] | 471 | END_2D |
---|
[14758] | 472 | ! Calculate Stokes drift in direction of wind (sustke) and Stokes penetration depth (dstokes) |
---|
[14571] | 473 | SELECT CASE (nn_osm_wave) |
---|
| 474 | ! Assume constant La#=0.3 |
---|
| 475 | CASE(0) |
---|
| 476 | DO_2D( 0, 0, 0, 0 ) |
---|
[14802] | 477 | zus_x = scos_wind(ji,jj) * sustar(ji,jj) / 0.3_wp**2 |
---|
| 478 | zus_y = ssin_wind(ji,jj) * sustar(ji,jj) / 0.3_wp**2 |
---|
[14571] | 479 | ! Linearly |
---|
[14802] | 480 | sustke(ji,jj) = MAX( SQRT( zus_x * zus_x + zus_y * zus_y ), 1e-8_wp ) |
---|
[14571] | 481 | dstokes(ji,jj) = rn_osm_dstokes |
---|
| 482 | END_2D |
---|
| 483 | ! Assume Pierson-Moskovitz wind-wave spectrum |
---|
| 484 | CASE(1) |
---|
| 485 | DO_2D( 0, 0, 0, 0 ) |
---|
| 486 | ! Use wind speed wndm included in sbc_oce module |
---|
[14802] | 487 | sustke(ji,jj) = MAX ( 0.016_wp * wndm(ji,jj), 1e-8_wp ) |
---|
| 488 | dstokes(ji,jj) = MAX ( 0.12_wp * wndm(ji,jj)**2 / grav, 5e-1_wp ) |
---|
[14571] | 489 | END_2D |
---|
| 490 | ! Use ECMWF wave fields as output from SBCWAVE |
---|
| 491 | CASE(2) |
---|
| 492 | zfac = 2.0_wp * rpi / 16.0_wp |
---|
[14802] | 493 | ! |
---|
[14571] | 494 | DO_2D( 0, 0, 0, 0 ) |
---|
[14802] | 495 | IF ( hsw(ji,jj) > 1e-4_wp ) THEN |
---|
[14571] | 496 | ! Use wave fields |
---|
[14802] | 497 | zabsstke = SQRT( ut0sd(ji,jj)**2 + vt0sd(ji,jj)**2 ) |
---|
| 498 | sustke(ji,jj) = MAX( ( scos_wind(ji,jj) * ut0sd(ji,jj) + ssin_wind(ji,jj) * vt0sd(ji,jj) ), 1e-8_wp ) |
---|
| 499 | dstokes(ji,jj) = MAX( zfac * hsw(ji,jj) * hsw(ji,jj) / ( MAX( zabsstke * wmp(ji,jj), 1e-7 ) ), 5e-1_wp ) |
---|
[14571] | 500 | ELSE |
---|
| 501 | ! Assume masking issue (e.g. ice in ECMWF reanalysis but not in model run) |
---|
| 502 | ! .. so default to Pierson-Moskowitz |
---|
[14802] | 503 | sustke(ji,jj) = MAX( 0.016_wp * wndm(ji,jj), 1e-8_wp ) |
---|
| 504 | dstokes(ji,jj) = MAX( 0.12_wp * wndm(ji,jj)**2 / grav, 5e-1_wp ) |
---|
[14571] | 505 | END IF |
---|
| 506 | END_2D |
---|
| 507 | END SELECT |
---|
[14802] | 508 | ! |
---|
[14571] | 509 | IF (ln_zdfosm_ice_shelter) THEN |
---|
| 510 | ! Reduce both Stokes drift and its depth scale by ocean fraction to represent sheltering by ice |
---|
| 511 | DO_2D( 0, 0, 0, 0 ) |
---|
[14802] | 512 | sustke(ji,jj) = sustke(ji,jj) * ( 1.0_wp - fr_i(ji,jj) ) |
---|
| 513 | dstokes(ji,jj) = dstokes(ji,jj) * ( 1.0_wp - fr_i(ji,jj) ) |
---|
[14571] | 514 | END_2D |
---|
| 515 | END IF |
---|
[14802] | 516 | ! |
---|
[14571] | 517 | SELECT CASE (nn_osm_SD_reduce) |
---|
[14802] | 518 | ! Reduce surface Stokes drift by a constant factor or following Breivik (2016) + van Roekel (2012) or Grant (2020). |
---|
[14571] | 519 | CASE(0) |
---|
[14802] | 520 | ! The Langmur number from the ECMWF model (or from PM) appears to give La<0.3 for wind-driven seas. |
---|
| 521 | ! The coefficient rn_zdfosm_adjust_sd = 0.8 gives La=0.3 in this situation. |
---|
| 522 | ! It could represent the effects of the spread of wave directions around the mean wind. The effect of this adjustment needs to be tested. |
---|
[14571] | 523 | IF(nn_osm_wave > 0) THEN |
---|
[14758] | 524 | sustke(A2D(0)) = rn_zdfosm_adjust_sd * sustke(A2D(0)) |
---|
[14571] | 525 | END IF |
---|
| 526 | CASE(1) |
---|
[14802] | 527 | ! Van Roekel (2012): consider average SD over top 10% of boundary layer |
---|
| 528 | ! Assumes approximate depth profile of SD from Breivik (2016) |
---|
[14571] | 529 | zsqrtpi = SQRT(rpi) |
---|
| 530 | z_two_thirds = 2.0_wp / 3.0_wp |
---|
| 531 | DO_2D( 0, 0, 0, 0 ) |
---|
| 532 | zthickness = rn_osm_hblfrac*hbl(ji,jj) |
---|
[14802] | 533 | z2k_times_thickness = zthickness * 2.0_wp / MAX( ABS( 5.97_wp * dstokes(ji,jj) ), 1e-7_wp ) |
---|
| 534 | zsqrt_depth = SQRT( z2k_times_thickness ) |
---|
| 535 | zexp_depth = EXP( -1.0_wp * z2k_times_thickness ) |
---|
| 536 | sustke(ji,jj) = sustke(ji,jj) * ( 1.0_wp - zexp_depth - & |
---|
| 537 | & z_two_thirds * ( zsqrtpi * zsqrt_depth * z2k_times_thickness * ERFC(zsqrt_depth) + & |
---|
| 538 | & 1.0_wp - ( 1.0_wp + z2k_times_thickness ) * zexp_depth ) ) / & |
---|
| 539 | & z2k_times_thickness |
---|
[14571] | 540 | END_2D |
---|
| 541 | CASE(2) |
---|
| 542 | ! Grant (2020): Match to exponential with same SD and d/dz(Sd) at depth 10% of boundary layer |
---|
[14802] | 543 | ! Assumes approximate depth profile of SD from Breivik (2016) |
---|
[14571] | 544 | zsqrtpi = SQRT(rpi) |
---|
| 545 | DO_2D( 0, 0, 0, 0 ) |
---|
| 546 | zthickness = rn_osm_hblfrac*hbl(ji,jj) |
---|
[14802] | 547 | z2k_times_thickness = zthickness * 2.0_wp / MAX( ABS( 5.97_wp * dstokes(ji,jj) ), 1e-7_wp ) |
---|
| 548 | IF( z2k_times_thickness < 50.0_wp ) THEN |
---|
| 549 | zsqrt_depth = SQRT( z2k_times_thickness ) |
---|
| 550 | zexperfc = zsqrtpi * zsqrt_depth * ERFC(zsqrt_depth) * EXP( z2k_times_thickness ) |
---|
[14571] | 551 | ELSE |
---|
[14802] | 552 | ! Asymptotic expansion of sqrt(pi)*zsqrt_depth*EXP(z2k_times_thickness)*ERFC(zsqrt_depth) for large z2k_times_thickness |
---|
[14571] | 553 | ! See Abramowitz and Stegun, Eq. 7.1.23 |
---|
[14802] | 554 | ! zexperfc = 1._wp - (1/2)/(z2k_times_thickness) + (3/4)/(z2k_times_thickness**2) - (15/8)/(z2k_times_thickness**3) |
---|
| 555 | zexperfc = ( ( -1.875_wp / z2k_times_thickness + 0.75_wp ) / z2k_times_thickness - 0.5_wp ) / & |
---|
| 556 | & z2k_times_thickness + 1.0_wp |
---|
[14571] | 557 | END IF |
---|
[14802] | 558 | zf = z2k_times_thickness * ( 1.0_wp / zexperfc - 1.0_wp ) |
---|
| 559 | dstokes(ji,jj) = 5.97_wp * zf * dstokes(ji,jj) |
---|
| 560 | sustke(ji,jj) = sustke(ji,jj) * EXP( z2k_times_thickness * ( 1.0_wp / ( 2.0_wp * zf ) - 1.0_wp ) ) * & |
---|
| 561 | & ( 1.0_wp - zexperfc ) |
---|
[14571] | 562 | END_2D |
---|
| 563 | END SELECT |
---|
[14802] | 564 | ! |
---|
[14758] | 565 | ! Langmuir velocity scale (swstrl), La # (sla) |
---|
[14802] | 566 | ! Mixed scale (svstr), convective velocity scale (swstrc) |
---|
[14571] | 567 | DO_2D( 0, 0, 0, 0 ) |
---|
[14758] | 568 | ! Langmuir velocity scale (swstrl), at T-point |
---|
| 569 | swstrl(ji,jj) = ( sustar(ji,jj) * sustar(ji,jj) * sustke(ji,jj) )**pthird |
---|
[14802] | 570 | sla(ji,jj) = MAX( MIN( SQRT( sustar(ji,jj) / ( swstrl(ji,jj) + epsln ) )**3, 4.0_wp ), 0.2_wp ) |
---|
| 571 | IF ( sla(ji,jj) > 0.45_wp ) dstokes(ji,jj) = MIN( dstokes(ji,jj), 0.5_wp * hbl(ji,jj) ) |
---|
[14758] | 572 | ! Velocity scale that tends to sustar for large Langmuir numbers |
---|
[14802] | 573 | svstr(ji,jj) = ( swstrl(ji,jj)**3 + ( 1.0_wp - EXP( -0.5_wp * sla(ji,jj)**2 ) ) * sustar(ji,jj) * sustar(ji,jj) * & |
---|
| 574 | & sustar(ji,jj) )**pthird |
---|
[14571] | 575 | ! |
---|
[14802] | 576 | ! Limit maximum value of Langmuir number as approximate treatment for shear turbulence |
---|
| 577 | ! Note sustke and swstrl are not amended |
---|
| 578 | ! |
---|
| 579 | ! Get convective velocity (swstrc), stabilty scale (shol) and logical conection flag l_conv |
---|
| 580 | IF ( swbav(ji,jj) > 0.0_wp ) THEN |
---|
| 581 | swstrc(ji,jj) = ( 2.0_wp * swbav(ji,jj) * 0.9_wp * hbl(ji,jj) )**pthird |
---|
| 582 | shol(ji,jj) = -0.9_wp * hbl(ji,jj) * 2.0_wp * swbav(ji,jj) / ( svstr(ji,jj)**3 + epsln ) |
---|
[14045] | 583 | ELSE |
---|
[14758] | 584 | swstrc(ji,jj) = 0.0_wp |
---|
[14802] | 585 | shol(ji,jj) = -1.0_wp * hbl(ji,jj) * 2.0_wp * swbav(ji,jj) / ( svstr(ji,jj)**3 + epsln ) |
---|
[14571] | 586 | ENDIF |
---|
| 587 | END_2D |
---|
[14802] | 588 | ! |
---|
[14571] | 589 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
| 590 | ! Mixed-layer model - calculate averages over the boundary layer, and the change in the boundary layer depth |
---|
| 591 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
| 592 | ! BL must be always 4 levels deep. |
---|
| 593 | ! For calculation of lateral buoyancy gradients for FK in |
---|
[14798] | 594 | ! zdf_osm_zmld_horizontal_gradients need halo values for nbld, so must |
---|
[14571] | 595 | ! previously exist for hbl also. |
---|
[14802] | 596 | ! |
---|
[14571] | 597 | ! agn 23/6/20: not clear all this is needed, as hbl checked after it is re-calculated anyway |
---|
| 598 | ! ########################################################################## |
---|
[14045] | 599 | hbl(:,:) = MAX(hbl(:,:), gdepw(:,:,4,Kmm) ) |
---|
[14798] | 600 | nbld(:,:) = 4 |
---|
[14045] | 601 | DO_3D( 1, 1, 1, 1, 5, jpkm1 ) |
---|
[12377] | 602 | IF ( hbl(ji,jj) >= gdepw(ji,jj,jk,Kmm) ) THEN |
---|
[14798] | 603 | nbld(ji,jj) = MIN(mbkt(ji,jj)-2, jk) |
---|
[12377] | 604 | ENDIF |
---|
| 605 | END_3D |
---|
[14571] | 606 | ! ########################################################################## |
---|
[14802] | 607 | ! |
---|
[13295] | 608 | DO_2D( 0, 0, 0, 0 ) |
---|
[14798] | 609 | zhbl(ji,jj) = gdepw(ji,jj,nbld(ji,jj),Kmm) |
---|
| 610 | nmld(ji,jj) = MAX( 3, nbld(ji,jj) - MAX( INT( dh(ji,jj) / e3t(ji,jj,nbld(ji,jj)-1,Kmm) ), 1 ) ) |
---|
| 611 | zhml(ji,jj) = gdepw(ji,jj,nmld(ji,jj),Kmm) |
---|
[14045] | 612 | zdh(ji,jj) = zhbl(ji,jj) - zhml(ji,jj) |
---|
| 613 | END_2D |
---|
[14802] | 614 | ! |
---|
[14571] | 615 | ! Averages over well-mixed and boundary layer, note BL averages use jp_ext=2 everywhere |
---|
[14734] | 616 | jp_ext(:,:) = 1 ! ag 19/03 |
---|
[14816] | 617 | CALL zdf_osm_vertical_average( Kbb, Kmm, nbld(A2D(0)), av_t_bl, av_s_bl, & |
---|
| 618 | & av_b_bl, av_u_bl, av_v_bl, jp_ext, av_dt_bl, & |
---|
[14803] | 619 | & av_ds_bl, av_db_bl, av_du_bl, av_dv_bl ) |
---|
[14816] | 620 | jp_ext(:,:) = nbld(A2D(0)) - nmld(:,:) + jp_ext(:,:) + 1 ! ag 19/03 |
---|
[14803] | 621 | CALL zdf_osm_vertical_average( Kbb, Kmm, nmld - 1, av_t_ml, av_s_ml, & |
---|
| 622 | & av_b_ml, av_u_ml, av_v_ml, jp_ext, av_dt_ml, & |
---|
| 623 | & av_ds_ml, av_db_ml, av_du_ml, av_dv_ml ) |
---|
[14750] | 624 | ! Velocity components in frame aligned with surface stress |
---|
[14802] | 625 | CALL zdf_osm_velocity_rotation( av_u_ml, av_v_ml ) |
---|
[14803] | 626 | CALL zdf_osm_velocity_rotation( av_du_ml, av_dv_ml ) |
---|
[14802] | 627 | CALL zdf_osm_velocity_rotation( av_u_bl, av_v_bl ) |
---|
[14803] | 628 | CALL zdf_osm_velocity_rotation( av_du_bl, av_dv_bl ) |
---|
[14802] | 629 | ! |
---|
[14571] | 630 | ! Determine the state of the OSBL, stable/unstable, shear/no shear |
---|
[14803] | 631 | CALL zdf_osm_osbl_state( Kmm, zwb_ent, zwb_min, zshear, zhbl, & |
---|
| 632 | & zhml, zdh ) |
---|
[14802] | 633 | ! |
---|
[14045] | 634 | IF ( ln_osm_mle ) THEN |
---|
[14571] | 635 | ! Fox-Kemper Scheme |
---|
[14045] | 636 | mld_prof = 4 |
---|
| 637 | DO_3D( 0, 0, 0, 0, 5, jpkm1 ) |
---|
[14571] | 638 | IF ( hmle(ji,jj) >= gdepw(ji,jj,jk,Kmm) ) mld_prof(ji,jj) = MIN(mbkt(ji,jj), jk) |
---|
[14045] | 639 | END_3D |
---|
[14816] | 640 | CALL zdf_osm_vertical_average( Kbb, Kmm, mld_prof(A2D(0)), av_t_mle, av_s_mle, & |
---|
[14802] | 641 | & av_b_mle, av_u_mle, av_v_mle ) |
---|
| 642 | ! |
---|
[14045] | 643 | DO_2D( 0, 0, 0, 0 ) |
---|
[14571] | 644 | zhmle(ji,jj) = gdepw(ji,jj,mld_prof(ji,jj),Kmm) |
---|
[14045] | 645 | END_2D |
---|
[14802] | 646 | ! |
---|
| 647 | ! Calculate fairly-well-mixed depth zmld & its index mld_prof + lateral zmld-averaged gradients |
---|
| 648 | CALL zdf_osm_zmld_horizontal_gradients( Kmm, zmld, zdtdx, zdtdy, zdsdx, & |
---|
[14798] | 649 | & zdsdy, dbdx_mle, dbdy_mle, zdbds_mle ) |
---|
[14802] | 650 | ! Calculate max vertical FK flux zwb_fk & set logical descriptors |
---|
| 651 | CALL zdf_osm_osbl_state_fk( Kmm, zwb_fk, zhbl, zhmle, zwb_ent, & |
---|
[14803] | 652 | & zdbds_mle ) |
---|
[14802] | 653 | ! Recalculate hmle, zmle, zvel_mle, zdiff_mle & redefine mld_proc to be index for new hmle |
---|
| 654 | CALL zdf_osm_mle_parameters( Kmm, mld_prof, zmld, zhmle, zvel_mle, & |
---|
| 655 | & zdiff_mle, zdbds_mle, zhbl, zwb0tot ) |
---|
[14045] | 656 | ELSE ! ln_osm_mle |
---|
[14571] | 657 | ! FK not selected, Boundary Layer only. |
---|
[14802] | 658 | l_pyc(:,:) = .TRUE. |
---|
[14798] | 659 | l_flux(:,:) = .FALSE. |
---|
[14802] | 660 | l_mle(:,:) = .FALSE. |
---|
[14045] | 661 | DO_2D( 0, 0, 0, 0 ) |
---|
[14803] | 662 | IF ( l_conv(ji,jj) .AND. av_db_bl(ji,jj) < rn_osm_bl_thresh ) l_pyc(ji,jj) = .FALSE. |
---|
[14045] | 663 | END_2D |
---|
| 664 | ENDIF ! ln_osm_mle |
---|
[14802] | 665 | ! |
---|
[14571] | 666 | !! External gradient below BL needed both with and w/o FK |
---|
[14816] | 667 | CALL zdf_osm_external_gradients( Kmm, nbld(A2D(0)) + 1, zdtdz_bl_ext, zdsdz_bl_ext, zdbdz_bl_ext ) ! ag 19/03 |
---|
[14802] | 668 | ! |
---|
[14571] | 669 | ! Test if pycnocline well resolved |
---|
[14802] | 670 | ! DO_2D( 0, 0, 0, 0 ) Removed with ag 19/03 changes. A change in eddy diffusivity/viscosity |
---|
| 671 | ! IF (l_conv(ji,jj) ) THEN should account for this. |
---|
| 672 | ! ztmp = 0.2 * zhbl(ji,jj) / e3w(ji,jj,nbld(ji,jj),Kmm) |
---|
| 673 | ! IF ( ztmp > 6 ) THEN |
---|
| 674 | ! ! pycnocline well resolved |
---|
| 675 | ! jp_ext(ji,jj) = 1 |
---|
| 676 | ! ELSE |
---|
| 677 | ! ! pycnocline poorly resolved |
---|
| 678 | ! jp_ext(ji,jj) = 0 |
---|
| 679 | ! ENDIF |
---|
| 680 | ! ELSE |
---|
| 681 | ! ! Stable conditions |
---|
| 682 | ! jp_ext(ji,jj) = 0 |
---|
| 683 | ! ENDIF |
---|
| 684 | ! END_2D |
---|
| 685 | ! |
---|
[14566] | 686 | ! Recalculate bl averages using jp_ext & ml averages .... note no rotation of u & v here.. |
---|
[14734] | 687 | jp_ext(:,:) = 1 ! ag 19/03 |
---|
[14816] | 688 | CALL zdf_osm_vertical_average( Kbb, Kmm, nbld(A2D(0)), av_t_bl, av_s_bl, & |
---|
[14803] | 689 | & av_b_bl, av_u_bl, av_v_bl, jp_ext, av_dt_bl, & |
---|
| 690 | & av_ds_bl, av_db_bl, av_du_bl, av_dv_bl ) |
---|
[14816] | 691 | jp_ext(:,:) = nbld(A2D(0)) - nmld(:,:) + jp_ext(:,:) + 1 ! ag 19/03 |
---|
[14803] | 692 | CALL zdf_osm_vertical_average( Kbb, Kmm, nmld - 1, av_t_ml, av_s_ml, & |
---|
| 693 | & av_b_ml, av_u_ml, av_v_ml, jp_ext, av_dt_ml, & |
---|
| 694 | & av_ds_ml, av_db_ml, av_du_ml, av_dv_ml ) ! ag 19/03 |
---|
[14802] | 695 | ! |
---|
| 696 | ! Rate of change of hbl |
---|
[14803] | 697 | CALL zdf_osm_calculate_dhdt( zdhdt, zhbl, zdh, zwb_ent, zwb_min, & |
---|
| 698 | & zdbdz_bl_ext, zwb_fk_b, zwb_fk, zvel_mle ) |
---|
[14734] | 699 | ! Test if surface boundary layer coupled to bottom |
---|
[14798] | 700 | l_coup(:,:) = .FALSE. ! ag 19/03 |
---|
[14045] | 701 | DO_2D( 0, 0, 0, 0 ) |
---|
[14798] | 702 | zhbl_t(ji,jj) = hbl(ji,jj) + ( zdhdt(ji,jj) - ww(ji,jj,nbld(ji,jj)) ) * rn_Dt ! Certainly need ww here, so subtract it |
---|
[14802] | 703 | ! Adjustment to represent limiting by ocean bottom |
---|
| 704 | IF ( mbkt(ji,jj) > 2 ) THEN ! To ensure mbkt(ji,jj) - 2 > 0 so no incorrect array access |
---|
[14734] | 705 | IF ( zhbl_t(ji,jj) > gdepw(ji, jj,mbkt(ji,jj)-2,Kmm) ) THEN |
---|
| 706 | zhbl_t(ji,jj) = MIN( zhbl_t(ji,jj), gdepw(ji,jj,mbkt(ji,jj)-2,Kmm) ) ! ht(:,:)) |
---|
[14802] | 707 | l_pyc(ji,jj) = .FALSE. |
---|
[14798] | 708 | l_coup(ji,jj) = .TRUE. ! ag 19/03 |
---|
[14734] | 709 | END IF |
---|
| 710 | END IF |
---|
[14045] | 711 | END_2D |
---|
[14802] | 712 | ! |
---|
[14816] | 713 | nmld(:,:) = nbld(A2D(0)) ! use nmld to hold previous blayer index |
---|
[14798] | 714 | nbld(:,:) = 4 |
---|
[14802] | 715 | ! |
---|
[13295] | 716 | DO_3D( 0, 0, 0, 0, 4, jpkm1 ) |
---|
[12377] | 717 | IF ( zhbl_t(ji,jj) >= gdepw(ji,jj,jk,Kmm) ) THEN |
---|
[14798] | 718 | nbld(ji,jj) = jk |
---|
[14802] | 719 | END IF |
---|
[12377] | 720 | END_3D |
---|
[14571] | 721 | ! |
---|
[14802] | 722 | ! |
---|
[14571] | 723 | ! Step through model levels taking account of buoyancy change to determine the effect on dhdt |
---|
| 724 | ! |
---|
[14802] | 725 | CALL zdf_osm_timestep_hbl( Kmm, zdhdt, zhbl, zhbl_t, zwb_ent, & |
---|
| 726 | & zwb_fk_b ) |
---|
| 727 | ! Is external level in bounds? |
---|
| 728 | ! |
---|
| 729 | ! Recalculate BL averages and differences using new BL depth |
---|
[14734] | 730 | jp_ext(:,:) = 1 ! ag 19/03 |
---|
[14816] | 731 | CALL zdf_osm_vertical_average( Kbb, Kmm, nbld(A2D(0)), av_t_bl, av_s_bl, & |
---|
[14803] | 732 | & av_b_bl, av_u_bl, av_v_bl, jp_ext, av_dt_bl, & |
---|
| 733 | & av_ds_bl, av_db_bl, av_du_bl, av_dv_bl ) |
---|
[14802] | 734 | ! |
---|
[14803] | 735 | CALL zdf_osm_pycnocline_thickness( Kmm, zdh, zhml, zdhdt, zhbl, & |
---|
| 736 | & zwb_ent, zdbdz_bl_ext, zwb_fk_b ) |
---|
[14802] | 737 | ! |
---|
[14734] | 738 | ! Reset l_pyc before calculating terms in the flux-gradient relationship |
---|
[13295] | 739 | DO_2D( 0, 0, 0, 0 ) |
---|
[14803] | 740 | IF ( av_db_bl(ji,jj) < rn_osm_bl_thresh .OR. nbld(ji,jj) >= mbkt(ji,jj) - 2 .OR. & |
---|
[14802] | 741 | & nbld(ji,jj) - nmld(ji,jj) == 1 .OR. zdhdt(ji,jj) < 0.0_wp ) THEN ! ag 19/03 |
---|
| 742 | l_pyc(ji,jj) = .FALSE. ! ag 19/03 |
---|
[14798] | 743 | IF ( nbld(ji,jj) >= mbkt(ji,jj) -2 ) THEN |
---|
[14802] | 744 | nmld(ji,jj) = nbld(ji,jj) - 1 ! ag 19/03 |
---|
| 745 | zdh(ji,jj) = gdepw(ji,jj,nbld(ji,jj),Kmm) - gdepw(ji,jj,nmld(ji,jj),Kmm) ! ag 19/03 |
---|
| 746 | zhml(ji,jj) = gdepw(ji,jj,nmld(ji,jj),Kmm) ! ag 19/03 |
---|
| 747 | dh(ji,jj) = zdh(ji,jj) ! ag 19/03 |
---|
| 748 | hml(ji,jj) = hbl(ji,jj) - dh(ji,jj) ! ag 19/03 |
---|
[14734] | 749 | ENDIF |
---|
| 750 | ENDIF ! ag 19/03 |
---|
[12377] | 751 | END_2D |
---|
[14571] | 752 | ! |
---|
[14816] | 753 | dstokes(:,:) = MIN ( dstokes(:,:), hbl(A2D(0))/ 3.0_wp ) ! Limit delta for shallow boundary layers for calculating |
---|
[14802] | 754 | ! ! flux-gradient terms |
---|
| 755 | ! |
---|
[14566] | 756 | ! Average over the depth of the mixed layer in the convective boundary layer |
---|
[14802] | 757 | ! jp_ext = nbld - nmld + 1 |
---|
| 758 | ! Recalculate ML averages and differences using new ML depth |
---|
[14816] | 759 | jp_ext(:,:) = nbld(A2D(0)) - nmld(A2D(0)) + jp_ext(:,:) + 1 ! ag 19/03 |
---|
[14802] | 760 | CALL zdf_osm_vertical_average( Kbb, Kmm, nmld - 1, av_t_ml, av_s_ml, & |
---|
[14803] | 761 | & av_b_ml, av_u_ml, av_v_ml, jp_ext, av_dt_ml, & |
---|
| 762 | & av_ds_ml, av_db_ml, av_du_ml, av_dv_ml ) |
---|
[14802] | 763 | ! |
---|
[14816] | 764 | CALL zdf_osm_external_gradients( Kmm, nbld(A2D(0)) + 1, zdtdz_bl_ext, zdsdz_bl_ext, zdbdz_bl_ext ) |
---|
[14750] | 765 | ! Rotate mean currents and changes onto wind aligned co-ordinates |
---|
[14802] | 766 | CALL zdf_osm_velocity_rotation( av_u_ml, av_v_ml ) |
---|
[14803] | 767 | CALL zdf_osm_velocity_rotation( av_du_ml, av_dv_ml ) |
---|
[14802] | 768 | CALL zdf_osm_velocity_rotation( av_u_bl, av_v_bl ) |
---|
[14803] | 769 | CALL zdf_osm_velocity_rotation( av_du_bl, av_dv_bl ) |
---|
[14571] | 770 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
| 771 | ! Eddy viscosity/diffusivity and non-gradient terms in the flux-gradient relationship |
---|
| 772 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
[14802] | 773 | CALL zdf_osm_diffusivity_viscosity( Kbb, Kmm, zdiffut, zviscos, zhbl, & |
---|
| 774 | & zhml, zdh, zdhdt, zshear, zwb_ent, & |
---|
| 775 | & zwb_min ) |
---|
[14305] | 776 | ! |
---|
[14316] | 777 | ! Calculate non-gradient components of the flux-gradient relationships |
---|
| 778 | ! -------------------------------------------------------------------- |
---|
[14816] | 779 | jp_ext(:,:) = 1 ! ag 19/03 |
---|
| 780 | CALL zdf_osm_fgr_terms( Kmm, jp_ext, zhbl, zhml, zdh, & |
---|
| 781 | & zdhdt, zshear, zdtdz_bl_ext, zdsdz_bl_ext, zdbdz_bl_ext, & |
---|
| 782 | & zdiffut, zviscos ) |
---|
[14802] | 783 | ! |
---|
[14571] | 784 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
| 785 | ! Need to put in code for contributions that are applied explicitly to |
---|
| 786 | ! the prognostic variables |
---|
| 787 | ! 1. Entrainment flux |
---|
[14802] | 788 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
[14571] | 789 | ! |
---|
[14750] | 790 | ! Rotate non-gradient velocity terms back to model reference frame |
---|
[14816] | 791 | CALL zdf_osm_velocity_rotation( ghamu(A2D(0),:), ghamv(A2D(0),:), .FALSE., 2, nbld(A2D(0)) ) |
---|
[14802] | 792 | ! |
---|
[14305] | 793 | ! KPP-style Ri# mixing |
---|
| 794 | IF ( ln_kpprimix ) THEN |
---|
[14571] | 795 | jkflt = jpk |
---|
| 796 | DO_2D( 0, 0, 0, 0 ) |
---|
[14798] | 797 | IF ( nbld(ji,jj) < jkflt ) jkflt = nbld(ji,jj) |
---|
[14571] | 798 | END_2D |
---|
| 799 | DO jk = jkflt+1, jpkm1 |
---|
| 800 | ! Shear production at uw- and vw-points (energy conserving form) |
---|
| 801 | DO_2D( 1, 0, 1, 0 ) |
---|
[14802] | 802 | z2du(ji,jj) = 0.5_wp * ( uu(ji,jj,jk-1,Kmm) - uu(ji,jj,jk,Kmm) ) * ( uu(ji,jj,jk-1,Kbb) - uu(ji,jj,jk,Kbb) ) * & |
---|
| 803 | & wumask(ji,jj,jk) / ( e3uw(ji,jj,jk,Kmm) * e3uw(ji,jj,jk,Kbb) ) |
---|
| 804 | z2dv(ji,jj) = 0.5_wp * ( vv(ji,jj,jk-1,Kmm) - vv(ji,jj,jk,Kmm) ) * ( vv(ji,jj,jk-1,Kbb) - vv(ji,jj,jk,Kbb) ) * & |
---|
| 805 | & wvmask(ji,jj,jk) / ( e3vw(ji,jj,jk,Kmm) * e3vw(ji,jj,jk,Kbb) ) |
---|
[14571] | 806 | END_2D |
---|
| 807 | DO_2D( 0, 0, 0, 0 ) |
---|
[14798] | 808 | IF ( jk > nbld(ji,jj) ) THEN |
---|
[14571] | 809 | ! Shear prod. at w-point weightened by mask |
---|
[14802] | 810 | zesh2 = ( z2du(ji-1,jj) + z2du(ji,jj) ) / MAX( 1.0_wp , umask(ji-1,jj,jk) + umask(ji,jj,jk) ) + & |
---|
| 811 | & ( z2dv(ji,jj-1) + z2dv(ji,jj) ) / MAX( 1.0_wp , vmask(ji,jj-1,jk) + vmask(ji,jj,jk) ) |
---|
[14571] | 812 | ! Local Richardson number |
---|
[14802] | 813 | zri = MAX( rn2b(ji,jj,jk), 0.0_wp ) / MAX( zesh2, epsln ) |
---|
| 814 | zfri = MIN( zri / rn_riinfty, 1.0_wp ) |
---|
| 815 | zfri = ( 1.0_wp - zfri * zfri ) |
---|
[14571] | 816 | zrimix = zfri * zfri * zfri * wmask(ji, jj, jk) |
---|
[14734] | 817 | zdiffut(ji,jj,jk) = MAX( zdiffut(ji,jj,jk), zrimix*rn_difri ) |
---|
| 818 | zviscos(ji,jj,jk) = MAX( zviscos(ji,jj,jk), zrimix*rn_difri ) |
---|
[14571] | 819 | END IF |
---|
| 820 | END_2D |
---|
| 821 | END DO |
---|
[14802] | 822 | END IF ! ln_kpprimix = .true. |
---|
| 823 | ! |
---|
[14571] | 824 | ! KPP-style set diffusivity large if unstable below BL |
---|
[14802] | 825 | IF ( ln_convmix) THEN |
---|
[14571] | 826 | DO_2D( 0, 0, 0, 0 ) |
---|
[14798] | 827 | DO jk = nbld(ji,jj) + 1, jpkm1 |
---|
[14802] | 828 | IF ( MIN( rn2(ji,jj,jk), rn2b(ji,jj,jk) ) <= -1e-12_wp ) zdiffut(ji,jj,jk) = MAX( rn_difconv, zdiffut(ji,jj,jk) ) |
---|
[14571] | 829 | END DO |
---|
| 830 | END_2D |
---|
[14802] | 831 | END IF ! ln_convmix = .true. |
---|
| 832 | ! |
---|
| 833 | IF ( ln_osm_mle ) THEN ! Set up diffusivity and non-gradient mixing |
---|
[14571] | 834 | DO_2D( 0, 0, 0, 0 ) |
---|
[14802] | 835 | IF ( l_flux(ji,jj) ) THEN ! MLE mixing extends below boundary layer |
---|
[14571] | 836 | ! Calculate MLE flux contribution from surface fluxes |
---|
[14798] | 837 | DO jk = 1, nbld(ji,jj) |
---|
[14802] | 838 | znd = gdepw(ji,jj,jk,Kmm) / MAX( zhbl(ji,jj), epsln ) |
---|
| 839 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) - ( swth0(ji,jj) - zrad0(ji,jj) + zradh(ji,jj) ) * ( 1.0_wp - znd ) |
---|
| 840 | ghams(ji,jj,jk) = ghams(ji,jj,jk) - sws0(ji,jj) * ( 1.0_wp - znd ) |
---|
[14571] | 841 | END DO |
---|
| 842 | DO jk = 1, mld_prof(ji,jj) |
---|
[14802] | 843 | znd = gdepw(ji,jj,jk,Kmm) / MAX( zhmle(ji,jj), epsln ) |
---|
| 844 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + ( swth0(ji,jj) - zrad0(ji,jj) + zradh(ji,jj) ) * ( 1.0_wp - znd ) |
---|
| 845 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + sws0(ji,jj) * ( 1.0_wp -znd ) |
---|
[14571] | 846 | END DO |
---|
| 847 | ! Viscosity for MLEs |
---|
| 848 | DO jk = 1, mld_prof(ji,jj) |
---|
[14802] | 849 | znd = -1.0_wp * gdepw(ji,jj,jk,Kmm) / MAX( zhmle(ji,jj), epsln ) |
---|
| 850 | zdiffut(ji,jj,jk) = zdiffut(ji,jj,jk) + zdiff_mle(ji,jj) * ( 1.0_wp - ( 2.0_wp * znd + 1.0_wp )**2 ) * & |
---|
| 851 | & ( 1.0_wp + 5.0_wp / 21.0_wp * ( 2.0_wp * znd + 1.0_wp )**2 ) |
---|
[14571] | 852 | END DO |
---|
[14802] | 853 | ELSE ! Surface transports limited to OSBL |
---|
[14571] | 854 | ! Viscosity for MLEs |
---|
| 855 | DO jk = 1, mld_prof(ji,jj) |
---|
[14802] | 856 | znd = -1.0_wp * gdepw(ji,jj,jk,Kmm) / MAX( zhmle(ji,jj), epsln ) |
---|
| 857 | zdiffut(ji,jj,jk) = zdiffut(ji,jj,jk) + zdiff_mle(ji,jj) * ( 1.0_wp - ( 2.0_wp * znd + 1.0_wp )**2 ) * & |
---|
| 858 | & ( 1.0_wp + 5.0_wp / 21.0_wp * ( 2.0_wp * znd + 1.0_wp )**2 ) |
---|
[14571] | 859 | END DO |
---|
[14802] | 860 | END IF |
---|
[14571] | 861 | END_2D |
---|
| 862 | ENDIF |
---|
[14802] | 863 | ! |
---|
[14571] | 864 | ! Lateral boundary conditions on zvicos (sign unchanged), needed to caclulate viscosities on u and v grids |
---|
[14802] | 865 | ! CALL lbc_lnk( 'zdfosm', zviscos(:,:,:), 'W', 1.0_wp ) |
---|
[14571] | 866 | ! GN 25/8: need to change tmask --> wmask |
---|
| 867 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
---|
| 868 | p_avt(ji,jj,jk) = MAX( zdiffut(ji,jj,jk), avtb(jk) ) * tmask(ji,jj,jk) |
---|
| 869 | p_avm(ji,jj,jk) = MAX( zviscos(ji,jj,jk), avmb(jk) ) * tmask(ji,jj,jk) |
---|
| 870 | END_3D |
---|
[14802] | 871 | ! Lateral boundary conditions on ghamu and ghamv, currently on W-grid (sign unchanged), needed to caclulate gham[uv] on u and |
---|
| 872 | ! v grids |
---|
[14822] | 873 | CALL lbc_lnk( 'zdfosm', p_avt, 'W', 1.0_wp, & |
---|
| 874 | & p_avm, 'W', 1.0_wp, & |
---|
| 875 | & ghamu, 'W', 1.0_wp, & |
---|
| 876 | & ghamv, 'W', 1.0_wp ) |
---|
[14571] | 877 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
---|
[14802] | 878 | ghamu(ji,jj,jk) = ( ghamu(ji,jj,jk) + ghamu(ji+1,jj,jk) ) / MAX( 1.0_wp, tmask(ji,jj,jk) + tmask (ji+1,jj,jk) ) * & |
---|
| 879 | & umask(ji,jj,jk) |
---|
| 880 | ghamv(ji,jj,jk) = ( ghamv(ji,jj,jk) + ghamv(ji,jj+1,jk) ) / MAX( 1.0_wp, tmask(ji,jj,jk) + tmask (ji,jj+1,jk) ) * & |
---|
| 881 | & vmask(ji,jj,jk) |
---|
[14571] | 882 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) * tmask(ji,jj,jk) |
---|
| 883 | ghams(ji,jj,jk) = ghams(ji,jj,jk) * tmask(ji,jj,jk) |
---|
| 884 | END_3D |
---|
[14802] | 885 | ! Lateral boundary conditions on final outputs for hbl, on T-grid (sign unchanged) |
---|
[14822] | 886 | CALL lbc_lnk( 'zdfosm', hbl, 'T', 1.0_wp, & |
---|
| 887 | & dh, 'T', 1.0_wp, & |
---|
| 888 | & hmle, 'T', 1.0_wp ) |
---|
[14802] | 889 | ! Lateral boundary conditions on final outputs for gham[ts], on W-grid (sign unchanged) |
---|
| 890 | ! Lateral boundary conditions on final outputs for gham[uv], on [UV]-grid (sign changed) |
---|
[14822] | 891 | CALL lbc_lnk( 'zdfosm', ghamt, 'W', 1.0_wp, & |
---|
| 892 | & ghams, 'W', 1.0_wp, & |
---|
| 893 | & ghamu, 'U', -1.0_wp, & |
---|
| 894 | & ghamv, 'V', -1.0_wp ) |
---|
[14802] | 895 | ! |
---|
[14816] | 896 | IF ( ln_dia_osm ) THEN |
---|
[8930] | 897 | SELECT CASE (nn_osm_wave) |
---|
[14802] | 898 | ! Stokes drift set by assumimg onstant La#=0.3 (=0) or Pierson-Moskovitz spectrum (=1) |
---|
[8930] | 899 | CASE(0:1) |
---|
[14816] | 900 | IF ( iom_use("us_x") ) THEN ! x surface Stokes drift |
---|
| 901 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * sustke * scos_wind |
---|
| 902 | CALL iom_put( "us_x", osmdia2d ) |
---|
| 903 | END IF |
---|
| 904 | IF ( iom_use("us_y") ) THEN ! y surface Stokes drift |
---|
| 905 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * sustke * ssin_wind |
---|
| 906 | CALL iom_put( "us_y", osmdia2d ) |
---|
| 907 | END IF |
---|
| 908 | IF ( iom_use("wind_wave_abs_power") ) THEN |
---|
| 909 | osmdia2d(A2D(0)) = 1000.0_wp * rho0 * tmask(A2D(0),1) * sustar**2 * sustke |
---|
| 910 | CALL iom_put( "wind_wave_abs_power", osmdia2d ) |
---|
| 911 | END IF |
---|
[14571] | 912 | ! Stokes drift read in from sbcwave (=2). |
---|
[14045] | 913 | CASE(2:3) |
---|
[14802] | 914 | IF ( iom_use("us_x") ) CALL iom_put( "us_x", ut0sd*umask(:,:,1) ) ! x surface Stokes drift |
---|
| 915 | IF ( iom_use("us_y") ) CALL iom_put( "us_y", vt0sd*vmask(:,:,1) ) ! y surface Stokes drift |
---|
| 916 | IF ( iom_use("wmp") ) CALL iom_put( "wmp", wmp*tmask(:,:,1) ) ! Wave mean period |
---|
| 917 | IF ( iom_use("hsw") ) CALL iom_put( "hsw", hsw*tmask(:,:,1) ) ! Significant wave height |
---|
| 918 | IF ( iom_use("wmp_NP") ) CALL iom_put( "wmp_NP", ( 2.0_wp * rpi * 1.026_wp / & ! Wave mean period from NP |
---|
| 919 | & ( 0.877_wp * grav ) ) * & ! spectrum |
---|
| 920 | & wndm * tmask(:,:,1) ) |
---|
| 921 | IF ( iom_use("hsw_NP") ) CALL iom_put( "hsw_NP", ( 0.22_wp / grav ) * wndm**2 * & ! Significant wave |
---|
| 922 | & tmask(:,:,1) ) ! height from NP spectrum |
---|
| 923 | IF ( iom_use("wndm") ) CALL iom_put( "wndm", wndm*tmask(:,:,1) ) ! U_10 |
---|
[14816] | 924 | IF ( iom_use("wind_wave_abs_power") ) THEN |
---|
| 925 | osmdia2d(A2D(0)) = 1000.0_wp * rho0 * tmask(:,:,1) * sustar**2 * SQRT( ut0sd**2 + vt0sd**2 ) |
---|
| 926 | CALL iom_put( "wind_wave_abs_power", osmdia2d ) |
---|
| 927 | END IF |
---|
[8930] | 928 | END SELECT |
---|
[14802] | 929 | IF ( iom_use("ghamt") ) CALL iom_put( "ghamt", tmask*ghamt ) ! <Tw_NL> |
---|
| 930 | IF ( iom_use("ghams") ) CALL iom_put( "ghams", tmask*ghams ) ! <Sw_NL> |
---|
| 931 | IF ( iom_use("ghamu") ) CALL iom_put( "ghamu", umask*ghamu ) ! <uw_NL> |
---|
| 932 | IF ( iom_use("ghamv") ) CALL iom_put( "ghamv", vmask*ghamv ) ! <vw_NL> |
---|
[14816] | 933 | IF ( iom_use("zwth0") ) THEN ! <Tw_0> |
---|
| 934 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * swth0; CALL iom_put( "zwth0", osmdia2d ) |
---|
| 935 | END IF |
---|
| 936 | IF ( iom_use("zws0") ) THEN ! <Sw_0> |
---|
| 937 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * sws0; CALL iom_put( "zws0", osmdia2d ) |
---|
| 938 | END IF |
---|
| 939 | IF ( iom_use("zwb0") ) THEN ! <Sw_0> |
---|
| 940 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * swb0; CALL iom_put( "zwb0", osmdia2d ) |
---|
| 941 | END IF |
---|
| 942 | IF ( iom_use("zwbav") ) THEN ! Upward BL-avged turb buoyancy flux |
---|
| 943 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * swth0; CALL iom_put( "zwbav", osmdia2d ) |
---|
| 944 | END IF |
---|
[14802] | 945 | IF ( iom_use("hbl") ) CALL iom_put( "hbl", tmask(:,:,1)*hbl ) ! Boundary-layer depth |
---|
| 946 | IF ( iom_use("ibld") ) CALL iom_put( "ibld", tmask(:,:,1)*nbld ) ! Boundary-layer max k |
---|
[14816] | 947 | IF ( iom_use("zdt_bl") ) THEN ! dt at ml base |
---|
| 948 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * av_dt_bl; CALL iom_put( "zdt_bl", osmdia2d ) |
---|
| 949 | END IF |
---|
| 950 | IF ( iom_use("zds_bl") ) THEN ! ds at ml base |
---|
| 951 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * av_ds_bl; CALL iom_put( "zds_bl", osmdia2d ) |
---|
| 952 | END IF |
---|
| 953 | IF ( iom_use("zdb_bl") ) THEN ! db at ml base |
---|
| 954 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * av_db_bl; CALL iom_put( "zdb_bl", osmdia2d ) |
---|
| 955 | END IF |
---|
| 956 | IF ( iom_use("zdu_bl") ) THEN ! du at ml base |
---|
| 957 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * av_du_bl; CALL iom_put( "zdu_bl", osmdia2d ) |
---|
| 958 | END IF |
---|
| 959 | IF ( iom_use("zdv_bl") ) THEN ! dv at ml base |
---|
| 960 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * av_dv_bl; CALL iom_put( "zdv_bl", osmdia2d ) |
---|
| 961 | END IF |
---|
[14802] | 962 | IF ( iom_use("dh") ) CALL iom_put( "dh", tmask(:,:,1)*dh ) ! Initial boundary-layer depth |
---|
| 963 | IF ( iom_use("hml") ) CALL iom_put( "hml", tmask(:,:,1)*hml ) ! Initial boundary-layer depth |
---|
[14816] | 964 | IF ( iom_use("zdt_ml") ) THEN ! dt at ml base |
---|
| 965 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * av_dt_ml; CALL iom_put( "zdt_ml", osmdia2d ) |
---|
| 966 | END IF |
---|
| 967 | IF ( iom_use("zds_ml") ) THEN ! ds at ml base |
---|
| 968 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * av_ds_ml; CALL iom_put( "zds_ml", osmdia2d ) |
---|
| 969 | END IF |
---|
| 970 | IF ( iom_use("zdb_ml") ) THEN ! db at ml base |
---|
| 971 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * av_db_ml; CALL iom_put( "zdb_ml", osmdia2d ) |
---|
| 972 | END IF |
---|
| 973 | IF ( iom_use("dstokes") ) THEN ! Stokes drift penetration depth |
---|
| 974 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * dstokes; CALL iom_put( "dstokes", osmdia2d ) |
---|
| 975 | END IF |
---|
| 976 | IF ( iom_use("zustke") ) THEN ! Stokes drift magnitude at T-points |
---|
| 977 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * sustke; CALL iom_put( "zustke", osmdia2d ) |
---|
| 978 | END IF |
---|
| 979 | IF ( iom_use("zwstrc") ) THEN ! Convective velocity scale |
---|
| 980 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * swstrc; CALL iom_put( "zwstrc", osmdia2d ) |
---|
| 981 | END IF |
---|
| 982 | IF ( iom_use("zwstrl") ) THEN ! Langmuir velocity scale |
---|
| 983 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * swstrl; CALL iom_put( "zwstrl", osmdia2d ) |
---|
| 984 | END IF |
---|
| 985 | IF ( iom_use("zustar") ) THEN ! Friction velocity scale |
---|
| 986 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * sustar; CALL iom_put( "zustar", osmdia2d ) |
---|
| 987 | END IF |
---|
| 988 | IF ( iom_use("zvstr") ) THEN ! Mixed velocity scale |
---|
| 989 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * svstr; CALL iom_put( "zvstr", osmdia2d ) |
---|
| 990 | END IF |
---|
| 991 | IF ( iom_use("zla") ) THEN ! Langmuir # |
---|
| 992 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * sla; CALL iom_put( "zla", osmdia2d ) |
---|
| 993 | END IF |
---|
| 994 | IF ( iom_use("wind_power") ) THEN ! BL depth internal to zdf_osm routine |
---|
| 995 | osmdia2d(A2D(0)) = 1000.0_wp * rho0 * tmask(A2D(0),1) * sustar**3 |
---|
| 996 | CALL iom_put( "wind_power", osmdia2d ) |
---|
| 997 | END IF |
---|
| 998 | IF ( iom_use("wind_wave_power") ) THEN |
---|
| 999 | osmdia2d(A2D(0)) = 1000.0_wp * rho0 * tmask(A2D(0),1) * sustar**2 * sustke |
---|
| 1000 | CALL iom_put( "wind_wave_power", osmdia2d ) |
---|
| 1001 | END IF |
---|
| 1002 | IF ( iom_use("zhbl") ) THEN ! BL depth internal to zdf_osm routine |
---|
| 1003 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * zhbl; CALL iom_put( "zhbl", osmdia2d ) |
---|
| 1004 | END IF |
---|
| 1005 | IF ( iom_use("zhml") ) THEN ! ML depth internal to zdf_osm routine |
---|
| 1006 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * zhml; CALL iom_put( "zhml", osmdia2d ) |
---|
| 1007 | END IF |
---|
| 1008 | IF ( iom_use("imld") ) THEN ! Index for ML depth internal to zdf_osm routine |
---|
| 1009 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * nmld; CALL iom_put( "imld", osmdia2d ) |
---|
| 1010 | END IF |
---|
| 1011 | IF ( iom_use("jp_ext") ) THEN ! =1 if pycnocline resolved internal to zdf_osm routine |
---|
| 1012 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * jp_ext; CALL iom_put( "jp_ext", osmdia2d ) |
---|
| 1013 | END IF |
---|
| 1014 | IF ( iom_use("j_ddh") ) THEN ! Index forpyc thicknessh internal to zdf_osm routine |
---|
| 1015 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * n_ddh; CALL iom_put( "j_ddh", osmdia2d ) |
---|
| 1016 | END IF |
---|
| 1017 | IF ( iom_use("zshear") ) THEN ! Shear production of TKE internal to zdf_osm routine |
---|
| 1018 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * zshear; CALL iom_put( "zshear", osmdia2d ) |
---|
| 1019 | END IF |
---|
| 1020 | IF ( iom_use("zdh") ) THEN ! Pyc thicknessh internal to zdf_osm routine |
---|
| 1021 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * zdh; CALL iom_put( "zdh", osmdia2d ) |
---|
| 1022 | END IF |
---|
| 1023 | IF ( iom_use("zhol") ) THEN ! ML depth internal to zdf_osm routine |
---|
| 1024 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * shol; CALL iom_put( "zhol", osmdia2d ) |
---|
| 1025 | END IF |
---|
| 1026 | IF ( iom_use("zwb_ent") ) THEN ! Upward turb buoyancy entrainment flux |
---|
| 1027 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * zwb_ent; CALL iom_put( "zwb_ent", osmdia2d ) |
---|
| 1028 | END IF |
---|
| 1029 | IF ( iom_use("zt_ml") ) THEN ! Average T in ML |
---|
| 1030 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * av_t_ml; CALL iom_put( "zt_ml", osmdia2d ) |
---|
| 1031 | END IF |
---|
[14802] | 1032 | IF ( iom_use("hmle") ) CALL iom_put( "hmle", tmask(:,:,1)*hmle ) ! FK layer depth |
---|
| 1033 | IF ( iom_use("zmld") ) CALL iom_put( "zmld", tmask(:,:,1)*zmld ) ! FK target layer depth |
---|
[14816] | 1034 | IF ( iom_use("zwb_fk") ) THEN ! FK b flux |
---|
| 1035 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * zwb_fk; CALL iom_put( "zwb_fk", osmdia2d ) |
---|
| 1036 | END IF |
---|
| 1037 | IF ( iom_use("zwb_fk_b") ) THEN ! FK b flux averaged over ML |
---|
| 1038 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * zwb_fk_b; CALL iom_put( "zwb_fk_b", osmdia2d ) |
---|
| 1039 | END IF |
---|
[14802] | 1040 | IF ( iom_use("mld_prof") ) CALL iom_put( "mld_prof", tmask(:,:,1)*mld_prof ) ! FK layer max k |
---|
| 1041 | IF ( iom_use("zdtdx") ) CALL iom_put( "zdtdx", umask(:,:,1)*zdtdx ) ! FK dtdx at u-pt |
---|
| 1042 | IF ( iom_use("zdtdy") ) CALL iom_put( "zdtdy", vmask(:,:,1)*zdtdy ) ! FK dtdy at v-pt |
---|
| 1043 | IF ( iom_use("zdsdx") ) CALL iom_put( "zdsdx", umask(:,:,1)*zdsdx ) ! FK dtdx at u-pt |
---|
| 1044 | IF ( iom_use("zdsdy") ) CALL iom_put( "zdsdy", vmask(:,:,1)*zdsdy ) ! FK dsdy at v-pt |
---|
| 1045 | IF ( iom_use("dbdx_mle") ) CALL iom_put( "dbdx_mle", umask(:,:,1)*dbdx_mle ) ! FK dbdx at u-pt |
---|
| 1046 | IF ( iom_use("dbdy_mle") ) CALL iom_put( "dbdy_mle", vmask(:,:,1)*dbdy_mle ) ! FK dbdy at v-pt |
---|
[14816] | 1047 | IF ( iom_use("zdiff_mle") ) THEN ! FK diff in MLE at t-pt |
---|
| 1048 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * zdiff_mle; CALL iom_put( "zdiff_mle", osmdia2d ) |
---|
| 1049 | END IF |
---|
| 1050 | IF ( iom_use("zvel_mle") ) THEN ! FK diff in MLE at t-pt |
---|
| 1051 | osmdia2d(A2D(0)) = tmask(A2D(0),1) * zdiff_mle; CALL iom_put( "zvel_mle", osmdia2d ) |
---|
| 1052 | END IF |
---|
[8946] | 1053 | END IF |
---|
[14149] | 1054 | IF( ln_timing ) CALL timing_stop('zdf_osm') |
---|
[14045] | 1055 | |
---|
[14571] | 1056 | END SUBROUTINE zdf_osm |
---|
[14045] | 1057 | |
---|
[14816] | 1058 | SUBROUTINE zdf_osm_vertical_average( Kbb, Kmm, knlev, pt, ps, & |
---|
[14802] | 1059 | & pb, pu, pv, kp_ext, pdt, & |
---|
| 1060 | & pds, pdb, pdu, pdv ) |
---|
[14280] | 1061 | !!--------------------------------------------------------------------- |
---|
| 1062 | !! *** ROUTINE zdf_vertical_average *** |
---|
| 1063 | !! |
---|
| 1064 | !! ** Purpose : Determines vertical averages from surface to knlev, |
---|
| 1065 | !! and optionally the differences between these vertical |
---|
| 1066 | !! averages and values at an external level |
---|
| 1067 | !! |
---|
| 1068 | !! ** Method : Averages are calculated from the surface to knlev. |
---|
| 1069 | !! The external level used to calculate differences is |
---|
| 1070 | !! knlev+kp_ext |
---|
| 1071 | !!---------------------------------------------------------------------- |
---|
[14816] | 1072 | INTEGER, INTENT(in ) :: Kbb, Kmm ! Ocean time-level indices |
---|
| 1073 | INTEGER, DIMENSION(A2D(0)), INTENT(in ) :: knlev ! Number of levels to average over. |
---|
| 1074 | REAL(wp), DIMENSION(A2D(0)), INTENT( out) :: pt, ps ! Average temperature and salinity |
---|
| 1075 | REAL(wp), DIMENSION(A2D(0)), INTENT( out) :: pb ! Average buoyancy |
---|
| 1076 | REAL(wp), DIMENSION(A2D(0)), INTENT( out) :: pu, pv ! Average current components |
---|
| 1077 | INTEGER, DIMENSION(A2D(0)), INTENT(in ), OPTIONAL :: kp_ext ! External-level offsets |
---|
| 1078 | REAL(wp), DIMENSION(A2D(0)), INTENT( out), OPTIONAL :: pdt, pds ! Difference between average temperature, salinity, |
---|
| 1079 | REAL(wp), DIMENSION(A2D(0)), INTENT( out), OPTIONAL :: pdb ! buoyancy, |
---|
| 1080 | REAL(wp), DIMENSION(A2D(0)), INTENT( out), OPTIONAL :: pdu, pdv ! velocity components and the OSBL |
---|
[14280] | 1081 | ! |
---|
[14816] | 1082 | INTEGER :: jk, jkflt, jkmax, ji, jj ! Loop indices |
---|
| 1083 | INTEGER :: ibld_ext ! External-layer index |
---|
| 1084 | REAL(wp), DIMENSION(A2D(0)) :: zthick ! Layer thickness |
---|
| 1085 | REAL(wp) :: zthermal, zbeta ! Thermal/haline expansion/contraction coefficients |
---|
[14280] | 1086 | !!---------------------------------------------------------------------- |
---|
| 1087 | ! |
---|
| 1088 | IF( ln_timing ) CALL timing_start('zdf_osm_va') |
---|
| 1089 | ! |
---|
| 1090 | ! Averages over depth of boundary layer |
---|
[14816] | 1091 | pt(:,:) = 0.0_wp |
---|
| 1092 | ps(:,:) = 0.0_wp |
---|
| 1093 | pu(:,:) = 0.0_wp |
---|
| 1094 | pv(:,:) = 0.0_wp |
---|
[14280] | 1095 | zthick(:,:) = epsln |
---|
| 1096 | jkflt = jpk |
---|
| 1097 | jkmax = 0 |
---|
| 1098 | DO_2D( 0, 0, 0, 0 ) |
---|
| 1099 | IF ( knlev(ji,jj) < jkflt ) jkflt = knlev(ji,jj) |
---|
| 1100 | IF ( knlev(ji,jj) > jkmax ) jkmax = knlev(ji,jj) |
---|
| 1101 | END_2D |
---|
| 1102 | DO_3D( 0, 0, 0, 0, 2, jkflt ) ! Upper, flat part of layer |
---|
| 1103 | zthick(ji,jj) = zthick(ji,jj) + e3t(ji,jj,jk,Kmm) |
---|
| 1104 | pt(ji,jj) = pt(ji,jj) + e3t(ji,jj,jk,Kmm) * ts(ji,jj,jk,jp_tem,Kmm) |
---|
| 1105 | ps(ji,jj) = ps(ji,jj) + e3t(ji,jj,jk,Kmm) * ts(ji,jj,jk,jp_sal,Kmm) |
---|
| 1106 | pu(ji,jj) = pu(ji,jj) + e3t(ji,jj,jk,Kmm) * & |
---|
| 1107 | & ( uu(ji,jj,jk,Kbb) + uu(ji - 1,jj,jk,Kbb) ) / & |
---|
| 1108 | & MAX( 1.0_wp , umask(ji,jj,jk) + umask(ji - 1,jj,jk) ) |
---|
| 1109 | pv(ji,jj) = pv(ji,jj) + e3t(ji,jj,jk,Kmm) * & |
---|
| 1110 | & ( vv(ji,jj,jk,Kbb) + vv(ji,jj - 1,jk,Kbb) ) / & |
---|
| 1111 | & MAX( 1.0_wp , vmask(ji,jj,jk) + vmask(ji,jj - 1,jk) ) |
---|
| 1112 | END_3D |
---|
| 1113 | DO_3D( 0, 0, 0, 0, jkflt+1, jkmax ) ! Lower, non-flat part of layer |
---|
| 1114 | IF ( knlev(ji,jj) >= jk ) THEN |
---|
| 1115 | zthick(ji,jj) = zthick(ji,jj) + e3t(ji,jj,jk,Kmm) |
---|
| 1116 | pt(ji,jj) = pt(ji,jj) + e3t(ji,jj,jk,Kmm) * ts(ji,jj,jk,jp_tem,Kmm) |
---|
| 1117 | ps(ji,jj) = ps(ji,jj) + e3t(ji,jj,jk,Kmm) * ts(ji,jj,jk,jp_sal,Kmm) |
---|
| 1118 | pu(ji,jj) = pu(ji,jj) + e3t(ji,jj,jk,Kmm) * & |
---|
| 1119 | & ( uu(ji,jj,jk,Kbb) + uu(ji - 1,jj,jk,Kbb) ) / & |
---|
| 1120 | & MAX( 1.0_wp , umask(ji,jj,jk) + umask(ji - 1,jj,jk) ) |
---|
| 1121 | pv(ji,jj) = pv(ji,jj) + e3t(ji,jj,jk,Kmm) * & |
---|
| 1122 | & ( vv(ji,jj,jk,Kbb) + vv(ji,jj - 1,jk,Kbb) ) / & |
---|
| 1123 | & MAX( 1.0_wp , vmask(ji,jj,jk) + vmask(ji,jj - 1,jk) ) |
---|
| 1124 | END IF |
---|
| 1125 | END_3D |
---|
| 1126 | DO_2D( 0, 0, 0, 0 ) |
---|
| 1127 | pt(ji,jj) = pt(ji,jj) / zthick(ji,jj) |
---|
| 1128 | ps(ji,jj) = ps(ji,jj) / zthick(ji,jj) |
---|
| 1129 | pu(ji,jj) = pu(ji,jj) / zthick(ji,jj) |
---|
| 1130 | pv(ji,jj) = pv(ji,jj) / zthick(ji,jj) |
---|
[14798] | 1131 | zthermal = rab_n(ji,jj,1,jp_tem) ! ideally use nbld not 1?? |
---|
[14280] | 1132 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
| 1133 | pb(ji,jj) = grav * zthermal * pt(ji,jj) - grav * zbeta * ps(ji,jj) |
---|
| 1134 | END_2D |
---|
| 1135 | ! |
---|
| 1136 | ! Differences between vertical averages and values at an external layer |
---|
| 1137 | IF ( PRESENT( kp_ext ) ) THEN |
---|
| 1138 | DO_2D( 0, 0, 0, 0 ) |
---|
| 1139 | ibld_ext = knlev(ji,jj) + kp_ext(ji,jj) |
---|
[14734] | 1140 | IF ( ibld_ext <= mbkt(ji,jj)-1 ) THEN ! ag 09/03 |
---|
| 1141 | ! Two external levels are available |
---|
[14280] | 1142 | pdt(ji,jj) = pt(ji,jj) - ts(ji,jj,ibld_ext,jp_tem,Kmm) |
---|
| 1143 | pds(ji,jj) = ps(ji,jj) - ts(ji,jj,ibld_ext,jp_sal,Kmm) |
---|
| 1144 | pdu(ji,jj) = pu(ji,jj) - ( uu(ji,jj,ibld_ext,Kbb) + uu(ji-1,jj,ibld_ext,Kbb ) ) / & |
---|
| 1145 | & MAX(1.0_wp , umask(ji,jj,ibld_ext ) + umask(ji-1,jj,ibld_ext ) ) |
---|
| 1146 | pdv(ji,jj) = pv(ji,jj) - ( vv(ji,jj,ibld_ext,Kbb) + vv(ji,jj-1,ibld_ext,Kbb ) ) / & |
---|
| 1147 | & MAX(1.0_wp , vmask(ji,jj,ibld_ext ) + vmask(ji,jj-1,ibld_ext ) ) |
---|
[14798] | 1148 | zthermal = rab_n(ji,jj,1,jp_tem) ! ideally use nbld not 1?? |
---|
[14280] | 1149 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
| 1150 | pdb(ji,jj) = grav * zthermal * pdt(ji,jj) - grav * zbeta * pds(ji,jj) |
---|
| 1151 | ELSE |
---|
| 1152 | pdt(ji,jj) = 0.0_wp |
---|
| 1153 | pds(ji,jj) = 0.0_wp |
---|
| 1154 | pdu(ji,jj) = 0.0_wp |
---|
| 1155 | pdv(ji,jj) = 0.0_wp |
---|
| 1156 | pdb(ji,jj) = 0.0_wp |
---|
| 1157 | ENDIF |
---|
| 1158 | END_2D |
---|
| 1159 | END IF |
---|
| 1160 | ! |
---|
| 1161 | IF( ln_timing ) CALL timing_stop('zdf_osm_va') |
---|
| 1162 | ! |
---|
| 1163 | END SUBROUTINE zdf_osm_vertical_average |
---|
[14045] | 1164 | |
---|
[14758] | 1165 | SUBROUTINE zdf_osm_velocity_rotation_2d( pu, pv, fwd ) |
---|
[14750] | 1166 | !!--------------------------------------------------------------------- |
---|
| 1167 | !! *** ROUTINE zdf_velocity_rotation_2d *** |
---|
| 1168 | !! |
---|
| 1169 | !! ** Purpose : Rotates frame of reference of velocity components pu and |
---|
| 1170 | !! pv (2d) |
---|
| 1171 | !! |
---|
| 1172 | !! ** Method : The velocity components are rotated into (fwd=.TRUE.) or |
---|
[14758] | 1173 | !! from (fwd=.FALSE.) the frame specified by scos_wind and |
---|
| 1174 | !! ssin_wind |
---|
[14750] | 1175 | !! |
---|
| 1176 | !!---------------------------------------------------------------------- |
---|
[14816] | 1177 | REAL(wp), INTENT(inout), DIMENSION(A2D(0)) :: pu, pv ! Components of current |
---|
| 1178 | LOGICAL, OPTIONAL, INTENT(in ) :: fwd ! Forward (default) or reverse rotation |
---|
[14750] | 1179 | ! |
---|
| 1180 | INTEGER :: ji, jj ! Loop indices |
---|
| 1181 | REAL(wp) :: ztmp, zfwd ! Auxiliary variables |
---|
| 1182 | ! |
---|
| 1183 | IF( ln_timing ) CALL timing_start('zdf_osm_vr') |
---|
| 1184 | ! |
---|
| 1185 | zfwd = 1.0_wp |
---|
| 1186 | IF( PRESENT(fwd) .AND. ( fwd==.FALSE. ) ) zfwd = -1.0_wp |
---|
| 1187 | DO_2D( 0, 0, 0, 0 ) |
---|
| 1188 | ztmp = pu(ji,jj) |
---|
[14758] | 1189 | pu(ji,jj) = pu(ji,jj) * scos_wind(ji,jj) + zfwd * pv(ji,jj) * ssin_wind(ji,jj) |
---|
| 1190 | pv(ji,jj) = pv(ji,jj) * scos_wind(ji,jj) - zfwd * ztmp * ssin_wind(ji,jj) |
---|
[14750] | 1191 | END_2D |
---|
| 1192 | ! |
---|
| 1193 | IF( ln_timing ) CALL timing_stop('zdf_osm_vr') |
---|
| 1194 | ! |
---|
| 1195 | END SUBROUTINE zdf_osm_velocity_rotation_2d |
---|
| 1196 | |
---|
[14758] | 1197 | SUBROUTINE zdf_osm_velocity_rotation_3d( pu, pv, fwd, ktop, knlev ) |
---|
[14750] | 1198 | !!--------------------------------------------------------------------- |
---|
| 1199 | !! *** ROUTINE zdf_velocity_rotation_3d *** |
---|
| 1200 | !! |
---|
| 1201 | !! ** Purpose : Rotates frame of reference of velocity components pu and |
---|
| 1202 | !! pv (3d) |
---|
| 1203 | !! |
---|
| 1204 | !! ** Method : The velocity components are rotated into (fwd=.TRUE.) or |
---|
[14758] | 1205 | !! from (fwd=.FALSE.) the frame specified by scos_wind and |
---|
| 1206 | !! ssin_wind; optionally, the rotation can be restricted at |
---|
| 1207 | !! each water column to span from the a minimum index ktop to |
---|
| 1208 | !! the depth index specified in array knlev |
---|
[14750] | 1209 | !! |
---|
| 1210 | !!---------------------------------------------------------------------- |
---|
[14816] | 1211 | REAL(wp), INTENT(inout), DIMENSION(A2D(0),jpk) :: pu, pv ! Components of current |
---|
| 1212 | LOGICAL, OPTIONAL, INTENT(in ) :: fwd ! Forward (default) or reverse rotation |
---|
| 1213 | INTEGER, OPTIONAL, INTENT(in ) :: ktop ! Minimum depth index |
---|
| 1214 | INTEGER, OPTIONAL, INTENT(in ), DIMENSION(A2D(0)) :: knlev ! Array of maximum depth indices |
---|
[14750] | 1215 | ! |
---|
| 1216 | INTEGER :: ji, jj, jk, jktop, jkmax ! Loop indices |
---|
| 1217 | REAL(wp) :: ztmp, zfwd ! Auxiliary variables |
---|
| 1218 | LOGICAL :: llkbot ! Auxiliary variable |
---|
| 1219 | ! |
---|
| 1220 | IF( ln_timing ) CALL timing_start('zdf_osm_vr') |
---|
| 1221 | ! |
---|
| 1222 | zfwd = 1.0_wp |
---|
| 1223 | IF( PRESENT(fwd) .AND. ( fwd==.FALSE. ) ) zfwd = -1.0_wp |
---|
| 1224 | jktop = 1 |
---|
| 1225 | IF( PRESENT(ktop) ) jktop = ktop |
---|
| 1226 | IF( PRESENT(knlev) ) THEN |
---|
| 1227 | jkmax = 0 |
---|
| 1228 | DO_2D( 0, 0, 0, 0 ) |
---|
| 1229 | IF ( knlev(ji,jj) > jkmax ) jkmax = knlev(ji,jj) |
---|
| 1230 | END_2D |
---|
| 1231 | llkbot = .FALSE. |
---|
| 1232 | ELSE |
---|
| 1233 | jkmax = jpk |
---|
| 1234 | llkbot = .TRUE. |
---|
| 1235 | END IF |
---|
| 1236 | DO_3D( 0, 0, 0, 0, jktop, jkmax ) |
---|
| 1237 | IF ( llkbot .OR. knlev(ji,jj) >= jk ) THEN |
---|
| 1238 | ztmp = pu(ji,jj,jk) |
---|
[14758] | 1239 | pu(ji,jj,jk) = pu(ji,jj,jk) * scos_wind(ji,jj) + zfwd * pv(ji,jj,jk) * ssin_wind(ji,jj) |
---|
| 1240 | pv(ji,jj,jk) = pv(ji,jj,jk) * scos_wind(ji,jj) - zfwd * ztmp * ssin_wind(ji,jj) |
---|
[14750] | 1241 | END IF |
---|
| 1242 | END_3D |
---|
| 1243 | ! |
---|
| 1244 | IF( ln_timing ) CALL timing_stop('zdf_osm_vr') |
---|
| 1245 | ! |
---|
| 1246 | END SUBROUTINE zdf_osm_velocity_rotation_3d |
---|
| 1247 | |
---|
[14802] | 1248 | SUBROUTINE zdf_osm_osbl_state( Kmm, pwb_ent, pwb_min, pshear, phbl, & |
---|
[14803] | 1249 | & phml, pdh ) |
---|
[14775] | 1250 | !!--------------------------------------------------------------------- |
---|
| 1251 | !! *** ROUTINE zdf_osm_osbl_state *** |
---|
| 1252 | !! |
---|
| 1253 | !! ** Purpose : Determines the state of the OSBL, stable/unstable, |
---|
| 1254 | !! shear/ noshear. Also determines shear production, |
---|
| 1255 | !! entrainment buoyancy flux and interfacial Richardson |
---|
| 1256 | !! number |
---|
| 1257 | !! |
---|
| 1258 | !! ** Method : |
---|
| 1259 | !! |
---|
| 1260 | !!---------------------------------------------------------------------- |
---|
[14816] | 1261 | INTEGER, INTENT(in ) :: Kmm ! Ocean time-level index |
---|
| 1262 | REAL(wp), DIMENSION(A2D(0)), INTENT( out) :: pwb_ent ! Buoyancy fluxes at base |
---|
| 1263 | REAL(wp), DIMENSION(A2D(0)), INTENT( out) :: pwb_min ! of well-mixed layer |
---|
| 1264 | REAL(wp), DIMENSION(A2D(0)), INTENT( out) :: pshear ! Production of TKE due to shear across the pycnocline |
---|
| 1265 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: phbl ! BL depth |
---|
| 1266 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: phml ! ML depth |
---|
| 1267 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdh ! Pycnocline depth |
---|
[14775] | 1268 | ! |
---|
[14783] | 1269 | ! Local variables |
---|
[14775] | 1270 | INTEGER :: jj, ji ! Loop indices |
---|
| 1271 | ! |
---|
| 1272 | REAL(wp), DIMENSION(A2D(0)) :: zekman |
---|
| 1273 | REAL(wp), DIMENSION(A2D(0)) :: zri_p, zri_b ! Richardson numbers |
---|
| 1274 | REAL(wp) :: zshear_u, zshear_v, zwb_shr |
---|
| 1275 | REAL(wp) :: zwcor, zrf_conv, zrf_shear, zrf_langmuir, zr_stokes |
---|
| 1276 | ! |
---|
[14802] | 1277 | REAL(wp), PARAMETER :: pp_a_shr = 0.4_wp, pp_b_shr = 6.5_wp, pp_a_wb_s = 0.8_wp |
---|
| 1278 | REAL(wp), PARAMETER :: pp_alpha_c = 0.2_wp, pp_alpha_lc = 0.03_wp |
---|
| 1279 | REAL(wp), PARAMETER :: pp_alpha_ls = 0.06_wp, pp_alpha_s = 0.15_wp |
---|
| 1280 | REAL(wp), PARAMETER :: pp_ri_p_thresh = 27.0_wp |
---|
| 1281 | REAL(wp), PARAMETER :: pp_ri_c = 0.25_wp |
---|
| 1282 | REAL(wp), PARAMETER :: pp_ek = 4.0_wp |
---|
| 1283 | REAL(wp), PARAMETER :: pp_large = -1e10_wp |
---|
[14775] | 1284 | ! |
---|
| 1285 | IF( ln_timing ) CALL timing_start('zdf_osm_os') |
---|
| 1286 | ! |
---|
[14816] | 1287 | ! Initialise arrays |
---|
[14798] | 1288 | l_conv(:,:) = .FALSE. |
---|
| 1289 | l_shear(:,:) = .FALSE. |
---|
| 1290 | n_ddh(:,:) = 1 |
---|
[14816] | 1291 | ! Initialise INTENT( out) arrays |
---|
[14802] | 1292 | pwb_ent(:,:) = pp_large |
---|
| 1293 | pwb_min(:,:) = pp_large |
---|
[14775] | 1294 | ! |
---|
[14798] | 1295 | ! Determins stability and set flag l_conv |
---|
[14775] | 1296 | DO_2D( 0, 0, 0, 0 ) |
---|
| 1297 | IF ( shol(ji,jj) < 0._wp ) THEN |
---|
[14798] | 1298 | l_conv(ji,jj) = .TRUE. |
---|
[14775] | 1299 | ELSE |
---|
[14798] | 1300 | l_conv(ji,jj) = .FALSE. |
---|
[14775] | 1301 | ENDIF |
---|
| 1302 | END_2D |
---|
| 1303 | ! |
---|
[14816] | 1304 | pshear(:,:) = 0.0_wp |
---|
| 1305 | zekman(:,:) = EXP( -1.0_wp * pp_ek * ABS( ff_t(A2D(0)) ) * phbl(:,:) / MAX( sustar(A2D(0)), 1.e-8 ) ) |
---|
[14775] | 1306 | ! |
---|
| 1307 | DO_2D( 0, 0, 0, 0 ) |
---|
[14798] | 1308 | IF ( l_conv(ji,jj) ) THEN |
---|
[14803] | 1309 | IF ( av_db_bl(ji,jj) > 0.0_wp ) THEN |
---|
| 1310 | zri_p(ji,jj) = MAX ( SQRT( av_db_bl(ji,jj) * pdh(ji,jj) / MAX( av_du_bl(ji,jj)**2 + av_dv_bl(ji,jj)**2, & |
---|
| 1311 | & 1e-8_wp ) ) * ( phbl(ji,jj) / pdh(ji,jj) ) * & |
---|
| 1312 | & ( svstr(ji,jj) / MAX( sustar(ji,jj), 1e-6_wp ) )**2 / & |
---|
| 1313 | & MAX( zekman(ji,jj), 1.0e-6_wp ), 5.0_wp ) |
---|
[14775] | 1314 | IF ( ff_t(ji,jj) >= 0.0_wp ) THEN ! Northern hemisphere |
---|
[14803] | 1315 | zri_b(ji,jj) = av_db_ml(ji,jj) * pdh(ji,jj) / ( MAX( av_du_ml(ji,jj), 1e-5_wp )**2 + & |
---|
| 1316 | & MAX( -1.0_wp * av_dv_ml(ji,jj), 1e-5_wp)**2 ) |
---|
[14775] | 1317 | ELSE ! Southern hemisphere |
---|
[14803] | 1318 | zri_b(ji,jj) = av_db_ml(ji,jj) * pdh(ji,jj) / ( MAX( av_du_ml(ji,jj), 1e-5_wp )**2 + & |
---|
| 1319 | & MAX( av_dv_ml(ji,jj), 1e-5_wp)**2 ) |
---|
[14775] | 1320 | END IF |
---|
[14802] | 1321 | pshear(ji,jj) = pp_a_shr * zekman(ji,jj) * & |
---|
[14803] | 1322 | & ( MAX( sustar(ji,jj)**2 * av_du_ml(ji,jj) / phbl(ji,jj), 0.0_wp ) + & |
---|
[14802] | 1323 | & pp_b_shr * MAX( -1.0_wp * ff_t(ji,jj) * sustke(ji,jj) * dstokes(ji,jj) * & |
---|
[14803] | 1324 | & av_dv_ml(ji,jj) / phbl(ji,jj), 0.0_wp ) ) |
---|
[14775] | 1325 | ! Stability dependence |
---|
[14802] | 1326 | pshear(ji,jj) = pshear(ji,jj) * EXP( -0.75_wp * MAX( 0.0_wp, ( zri_b(ji,jj) - pp_ri_c ) / pp_ri_c ) ) |
---|
[14775] | 1327 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
[14798] | 1328 | ! Test ensures n_ddh=0 is not selected. Change to zri_p<27 when ! |
---|
[14775] | 1329 | ! full code available ! |
---|
| 1330 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
| 1331 | IF ( pshear(ji,jj) > 1e-10 ) THEN |
---|
[14802] | 1332 | IF ( zri_p(ji,jj) < pp_ri_p_thresh .AND. MIN( hu(ji,jj,Kmm), hu(ji-1,jj,Kmm), hv(ji,jj,Kmm), hv(ji,jj-1,Kmm) ) > 100.0_wp ) THEN |
---|
[14775] | 1333 | ! Growing shear layer |
---|
[14798] | 1334 | n_ddh(ji,jj) = 0 |
---|
| 1335 | l_shear(ji,jj) = .TRUE. |
---|
[14775] | 1336 | ELSE |
---|
[14798] | 1337 | n_ddh(ji,jj) = 1 |
---|
[14775] | 1338 | ! IF ( zri_b <= 1.5 .and. pshear(ji,jj) > 0._wp ) THEN |
---|
| 1339 | ! Shear production large enough to determine layer charcteristics, but can't maintain a shear layer |
---|
[14798] | 1340 | l_shear(ji,jj) = .TRUE. |
---|
[14775] | 1341 | ! ELSE |
---|
| 1342 | END IF |
---|
| 1343 | ELSE |
---|
[14798] | 1344 | n_ddh(ji,jj) = 2 |
---|
| 1345 | l_shear(ji,jj) = .FALSE. |
---|
[14775] | 1346 | END IF |
---|
| 1347 | ! Shear production may not be zero, but is small and doesn't determine characteristics of pycnocline |
---|
| 1348 | ! pshear(ji,jj) = 0.5 * pshear(ji,jj) |
---|
[14798] | 1349 | ! l_shear(ji,jj) = .FALSE. |
---|
[14775] | 1350 | ! ENDIF |
---|
[14803] | 1351 | ELSE ! av_db_bl test, note pshear set to zero |
---|
[14798] | 1352 | n_ddh(ji,jj) = 2 |
---|
| 1353 | l_shear(ji,jj) = .FALSE. |
---|
[14775] | 1354 | ENDIF |
---|
| 1355 | ENDIF |
---|
| 1356 | END_2D |
---|
| 1357 | ! |
---|
| 1358 | ! Calculate entrainment buoyancy flux due to surface fluxes. |
---|
| 1359 | DO_2D( 0, 0, 0, 0 ) |
---|
[14798] | 1360 | IF ( l_conv(ji,jj) ) THEN |
---|
[14775] | 1361 | zwcor = ABS( ff_t(ji,jj) ) * phbl(ji,jj) + epsln |
---|
| 1362 | zrf_conv = TANH( ( swstrc(ji,jj) / zwcor )**0.69_wp ) |
---|
| 1363 | zrf_shear = TANH( ( sustar(ji,jj) / zwcor )**0.69_wp ) |
---|
| 1364 | zrf_langmuir = TANH( ( swstrl(ji,jj) / zwcor )**0.69_wp ) |
---|
| 1365 | IF ( nn_osm_SD_reduce > 0 ) THEN |
---|
| 1366 | ! Effective Stokes drift already reduced from surface value |
---|
| 1367 | zr_stokes = 1.0_wp |
---|
| 1368 | ELSE |
---|
| 1369 | ! Effective Stokes drift only reduced by factor rn_zdfodm_adjust_sd, |
---|
| 1370 | ! requires further reduction where BL is deep |
---|
| 1371 | zr_stokes = 1.0 - EXP( -25.0_wp * dstokes(ji,jj) / hbl(ji,jj) * ( 1.0_wp + 4.0_wp * dstokes(ji,jj) / hbl(ji,jj) ) ) |
---|
| 1372 | END IF |
---|
[14802] | 1373 | pwb_ent(ji,jj) = -2.0_wp * pp_alpha_c * zrf_conv * swbav(ji,jj) - & |
---|
| 1374 | & pp_alpha_s * zrf_shear * sustar(ji,jj)**3 / phml(ji,jj) + & |
---|
| 1375 | & zr_stokes * ( pp_alpha_s * EXP( -1.5_wp * sla(ji,jj) ) * zrf_shear * sustar(ji,jj)**3 - & |
---|
| 1376 | & zrf_langmuir * pp_alpha_lc * swstrl(ji,jj)**3 ) / phml(ji,jj) |
---|
[14775] | 1377 | ENDIF |
---|
| 1378 | END_2D |
---|
| 1379 | ! |
---|
| 1380 | DO_2D( 0, 0, 0, 0 ) |
---|
[14798] | 1381 | IF ( l_shear(ji,jj) ) THEN |
---|
| 1382 | IF ( l_conv(ji,jj) ) THEN |
---|
[14775] | 1383 | ! Unstable OSBL |
---|
[14802] | 1384 | zwb_shr = -1.0_wp * pp_a_wb_s * zri_b(ji,jj) * pshear(ji,jj) |
---|
[14798] | 1385 | IF ( n_ddh(ji,jj) == 0 ) THEN |
---|
[14775] | 1386 | ! Developing shear layer, additional shear production possible. |
---|
| 1387 | |
---|
[14803] | 1388 | ! pshear_u = MAX( zustar(ji,jj)**2 * MAX( av_du_ml(ji,jj), 0._wp ) / phbl(ji,jj), 0._wp ) |
---|
[14802] | 1389 | ! pshear(ji,jj) = pshear(ji,jj) + pshear_u * ( 1.0 - MIN( zri_p(ji,jj) / pp_ri_p_thresh, 1.d0 )**2 ) |
---|
[14775] | 1390 | ! pshear(ji,jj) = MIN( pshear(ji,jj), pshear_u ) |
---|
| 1391 | |
---|
[14802] | 1392 | ! zwb_shr = zwb_shr - 0.25 * MAX ( pshear_u, 0._wp) * ( 1.0 - MIN( zri_p(ji,jj) / pp_ri_p_thresh, 1._wp )**2 ) |
---|
[14775] | 1393 | ! zwb_shr = MAX( zwb_shr, -0.25 * pshear_u ) |
---|
| 1394 | ENDIF |
---|
| 1395 | pwb_ent(ji,jj) = pwb_ent(ji,jj) + zwb_shr |
---|
| 1396 | ! pwb_min(ji,jj) = pwb_ent(ji,jj) + pdh(ji,jj) / phbl(ji,jj) * zwb0(ji,jj) |
---|
[14798] | 1397 | ELSE ! IF ( l_conv ) THEN - ENDIF |
---|
[14775] | 1398 | ! Stable OSBL - shear production not coded for first attempt. |
---|
[14798] | 1399 | ENDIF ! l_conv |
---|
| 1400 | END IF ! l_shear |
---|
| 1401 | IF ( l_conv(ji,jj) ) THEN |
---|
[14775] | 1402 | ! Unstable OSBL |
---|
| 1403 | pwb_min(ji,jj) = pwb_ent(ji,jj) + pdh(ji,jj) / phbl(ji,jj) * 2.0_wp * swbav(ji,jj) |
---|
[14798] | 1404 | END IF ! l_conv |
---|
[14775] | 1405 | END_2D |
---|
| 1406 | ! |
---|
| 1407 | IF( ln_timing ) CALL timing_stop('zdf_osm_os') |
---|
| 1408 | ! |
---|
| 1409 | END SUBROUTINE zdf_osm_osbl_state |
---|
| 1410 | |
---|
[14779] | 1411 | SUBROUTINE zdf_osm_external_gradients( Kmm, kbase, pdtdz, pdsdz, pdbdz ) |
---|
| 1412 | !!--------------------------------------------------------------------- |
---|
| 1413 | !! *** ROUTINE zdf_osm_external_gradients *** |
---|
| 1414 | !! |
---|
| 1415 | !! ** Purpose : Calculates the gradients below the OSBL |
---|
| 1416 | !! |
---|
[14798] | 1417 | !! ** Method : Uses nbld and ibld_ext to determine levels to calculate the gradient. |
---|
[14779] | 1418 | !! |
---|
| 1419 | !!---------------------------------------------------------------------- |
---|
[14816] | 1420 | INTEGER, INTENT(in ) :: Kmm ! Ocean time-level index |
---|
| 1421 | INTEGER, DIMENSION(A2D(0)), INTENT(in ) :: kbase ! OSBL base layer index |
---|
| 1422 | REAL(wp), DIMENSION(A2D(0)), INTENT( out) :: pdtdz, pdsdz, pdbdz ! External gradients of temperature, salinity and buoyancy |
---|
[14779] | 1423 | ! |
---|
| 1424 | ! Local variables |
---|
| 1425 | INTEGER :: ji, jj, jkb, jkb1 |
---|
| 1426 | REAL(wp) :: zthermal, zbeta |
---|
| 1427 | ! |
---|
[14802] | 1428 | REAL(wp), PARAMETER :: pp_large = -1e10_wp |
---|
[14779] | 1429 | ! |
---|
| 1430 | IF( ln_timing ) CALL timing_start('zdf_osm_eg') |
---|
| 1431 | ! |
---|
[14802] | 1432 | pdtdz(:,:) = pp_large |
---|
| 1433 | pdsdz(:,:) = pp_large |
---|
| 1434 | pdbdz(:,:) = pp_large |
---|
[14779] | 1435 | ! |
---|
| 1436 | DO_2D( 0, 0, 0, 0 ) |
---|
| 1437 | IF ( kbase(ji,jj)+1 < mbkt(ji,jj) ) THEN |
---|
[14798] | 1438 | zthermal = rab_n(ji,jj,1,jp_tem) ! Ideally use nbld not 1?? |
---|
[14779] | 1439 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
| 1440 | jkb = kbase(ji,jj) |
---|
| 1441 | jkb1 = MIN( jkb + 1, mbkt(ji,jj) ) |
---|
| 1442 | pdtdz(ji,jj) = -1.0_wp * ( ts(ji,jj,jkb1,jp_tem,Kmm) - ts(ji,jj,jkb,jp_tem,Kmm ) ) / e3w(ji,jj,jkb1,Kmm) |
---|
| 1443 | pdsdz(ji,jj) = -1.0_wp * ( ts(ji,jj,jkb1,jp_sal,Kmm) - ts(ji,jj,jkb,jp_sal,Kmm ) ) / e3w(ji,jj,jkb1,Kmm) |
---|
| 1444 | pdbdz(ji,jj) = grav * zthermal * pdtdz(ji,jj) - grav * zbeta * pdsdz(ji,jj) |
---|
| 1445 | ELSE |
---|
| 1446 | pdtdz(ji,jj) = 0.0_wp |
---|
| 1447 | pdsdz(ji,jj) = 0.0_wp |
---|
| 1448 | pdbdz(ji,jj) = 0.0_wp |
---|
| 1449 | END IF |
---|
| 1450 | END_2D |
---|
| 1451 | ! |
---|
| 1452 | IF( ln_timing ) CALL timing_stop('zdf_osm_eg') |
---|
| 1453 | ! |
---|
| 1454 | END SUBROUTINE zdf_osm_external_gradients |
---|
| 1455 | |
---|
[14803] | 1456 | SUBROUTINE zdf_osm_calculate_dhdt( pdhdt, phbl, pdh, pwb_ent, pwb_min, & |
---|
| 1457 | & pdbdz_bl_ext, pwb_fk_b, pwb_fk, pvel_mle ) |
---|
[14779] | 1458 | !!--------------------------------------------------------------------- |
---|
| 1459 | !! *** ROUTINE zdf_osm_calculate_dhdt *** |
---|
| 1460 | !! |
---|
| 1461 | !! ** Purpose : Calculates the rate at which hbl changes. |
---|
| 1462 | !! |
---|
| 1463 | !! ** Method : |
---|
| 1464 | !! |
---|
| 1465 | !!---------------------------------------------------------------------- |
---|
| 1466 | REAL(wp), DIMENSION(A2D(0)), INTENT( out) :: pdhdt ! Rate of change of hbl |
---|
[14816] | 1467 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: phbl ! BL depth |
---|
| 1468 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdh ! Pycnocline depth |
---|
| 1469 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pwb_ent ! Buoyancy entrainment flux |
---|
| 1470 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pwb_min |
---|
[14783] | 1471 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdbdz_bl_ext ! External buoyancy gradients |
---|
[14816] | 1472 | REAL(wp), DIMENSION(A2D(0)), INTENT( out) :: pwb_fk_b ! MLE buoyancy flux averaged over OSBL |
---|
| 1473 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pwb_fk ! Max MLE buoyancy flux |
---|
| 1474 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pvel_mle ! Vvelocity scale for dhdt with stable ML and FK |
---|
[14779] | 1475 | ! |
---|
| 1476 | ! Local variables |
---|
| 1477 | INTEGER :: jj, ji |
---|
| 1478 | REAL(wp) :: zgamma_b_nd, zgamma_dh_nd, zpert, zpsi, zari |
---|
| 1479 | REAL(wp) :: zvel_max, zddhdt |
---|
| 1480 | ! |
---|
[14802] | 1481 | REAL(wp), PARAMETER :: pp_alpha_b = 0.3_wp |
---|
| 1482 | REAL(wp), PARAMETER :: pp_ddh = 2.5_wp, pp_ddh_2 = 3.5_wp ! Also in pycnocline_depth |
---|
| 1483 | REAL(wp), PARAMETER :: pp_large = -1e10_wp |
---|
[14779] | 1484 | ! |
---|
| 1485 | IF( ln_timing ) CALL timing_start('zdf_osm_cd') |
---|
| 1486 | ! |
---|
[14802] | 1487 | pdhdt(:,:) = pp_large |
---|
| 1488 | pwb_fk_b(:,:) = pp_large |
---|
[14779] | 1489 | ! |
---|
| 1490 | DO_2D( 0, 0, 0, 0 ) |
---|
| 1491 | ! |
---|
[14798] | 1492 | IF ( l_shear(ji,jj) ) THEN |
---|
[14779] | 1493 | ! |
---|
[14798] | 1494 | IF ( l_conv(ji,jj) ) THEN ! Convective |
---|
[14779] | 1495 | ! |
---|
| 1496 | IF ( ln_osm_mle ) THEN |
---|
| 1497 | IF ( hmle(ji,jj) > hbl(ji,jj) ) THEN ! Fox-Kemper buoyancy flux average over OSBL |
---|
| 1498 | pwb_fk_b(ji,jj) = pwb_fk(ji,jj) * ( 1.0_wp + hmle(ji,jj) / ( 6.0_wp * hbl(ji,jj) ) * & |
---|
| 1499 | & ( -1.0_wp + ( 1.0_wp - 2.0_wp * hbl(ji,jj) / hmle(ji,jj) )**3 ) ) |
---|
| 1500 | ELSE |
---|
| 1501 | pwb_fk_b(ji,jj) = 0.5_wp * pwb_fk(ji,jj) * hmle(ji,jj) / hbl(ji,jj) |
---|
| 1502 | ENDIF |
---|
| 1503 | zvel_max = ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**p2third / hbl(ji,jj) |
---|
| 1504 | IF ( ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) < 0.0_wp ) THEN ! OSBL is deepening, |
---|
| 1505 | ! ! entrainment > restratification |
---|
[14803] | 1506 | IF ( av_db_bl(ji,jj) > 1e-15_wp ) THEN |
---|
| 1507 | zgamma_b_nd = MAX( pdbdz_bl_ext(ji,jj), 0.0_wp ) * pdh(ji,jj) / ( zvel_max + MAX( av_db_bl(ji,jj), 1e-15_wp ) ) |
---|
[14779] | 1508 | zpsi = ( 1.0_wp - 0.5_wp * pdh(ji,jj) / phbl(ji,jj) ) * & |
---|
| 1509 | & ( swb0(ji,jj) - MIN( ( pwb_min(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ), 0.0_wp ) ) * pdh(ji,jj) / phbl(ji,jj) |
---|
| 1510 | zpsi = zpsi + 1.75_wp * ( 1.0_wp - 0.5_wp * pdh(ji,jj) / phbl(ji,jj) ) * & |
---|
| 1511 | & ( pdh(ji,jj) / phbl(ji,jj) + zgamma_b_nd ) * MIN( ( pwb_min(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ), 0.0_wp ) |
---|
[14802] | 1512 | zpsi = pp_alpha_b * MAX( zpsi, 0.0_wp ) |
---|
[14779] | 1513 | pdhdt(ji,jj) = -1.0_wp * ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) / & |
---|
[14803] | 1514 | & ( zvel_max + MAX( av_db_bl(ji,jj), 1e-15_wp ) ) + & |
---|
| 1515 | & zpsi / ( zvel_max + MAX( av_db_bl(ji,jj), 1e-15_wp ) ) |
---|
[14798] | 1516 | IF ( n_ddh(ji,jj) == 1 ) THEN |
---|
[14779] | 1517 | IF ( ( swstrc(ji,jj) / svstr(ji,jj) )**3 <= 0.5_wp ) THEN |
---|
[14803] | 1518 | zari = MIN( 1.5_wp * av_db_bl(ji,jj) / & |
---|
[14779] | 1519 | & ( phbl(ji,jj) * ( MAX( pdbdz_bl_ext(ji,jj), 0.0_wp ) + & |
---|
[14803] | 1520 | & av_db_bl(ji,jj)**2 / MAX( 4.5_wp * svstr(ji,jj)**2, & |
---|
[14779] | 1521 | & 1e-12_wp ) ) ), 0.2_wp ) |
---|
| 1522 | ELSE |
---|
[14803] | 1523 | zari = MIN( 1.5_wp * av_db_bl(ji,jj) / & |
---|
[14779] | 1524 | & ( phbl(ji,jj) * ( MAX( pdbdz_bl_ext(ji,jj), 0.0_wp ) + & |
---|
[14803] | 1525 | & av_db_bl(ji,jj)**2 / MAX( 4.5_wp * swstrc(ji,jj)**2, & |
---|
[14779] | 1526 | & 1e-12_wp ) ) ), 0.2_wp ) |
---|
| 1527 | ENDIF |
---|
| 1528 | ! Relaxation to dh_ref = zari * hbl |
---|
[14802] | 1529 | zddhdt = -1.0_wp * pp_ddh_2 * ( 1.0_wp - pdh(ji,jj) / ( zari * phbl(ji,jj) ) ) * pwb_ent(ji,jj) / & |
---|
[14803] | 1530 | & ( zvel_max + MAX( av_db_bl(ji,jj), 1e-15_wp ) ) |
---|
[14798] | 1531 | ELSE IF ( n_ddh(ji,jj) == 0 ) THEN ! Growing shear layer |
---|
[14802] | 1532 | zddhdt = -1.0_wp * pp_ddh * ( 1.0_wp - 1.6_wp * pdh(ji,jj) / phbl(ji,jj) ) * pwb_ent(ji,jj) / & |
---|
[14803] | 1533 | & ( zvel_max + MAX( av_db_bl(ji,jj), 1e-15_wp ) ) |
---|
[14816] | 1534 | zddhdt = EXP( -4.0_wp * ABS( ff_t(ji,jj) ) * phbl(ji,jj) / MAX( sustar(ji,jj), 1e-8_wp ) ) * zddhdt |
---|
[14779] | 1535 | ELSE |
---|
| 1536 | zddhdt = 0.0_wp |
---|
[14798] | 1537 | ENDIF ! n_ddh |
---|
[14802] | 1538 | pdhdt(ji,jj) = pdhdt(ji,jj) + pp_alpha_b * ( 1.0_wp - 0.5_wp * pdh(ji,jj) / phbl(ji,jj) ) * & |
---|
[14803] | 1539 | & av_db_ml(ji,jj) * MAX( zddhdt, 0.0_wp ) / & |
---|
| 1540 | & ( zvel_max + MAX( av_db_bl(ji,jj), 1e-15_wp ) ) |
---|
| 1541 | ELSE ! av_db_bl >0 |
---|
[14779] | 1542 | pdhdt(ji,jj) = -1.0_wp * ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) / MAX( zvel_max, 1e-15_wp ) |
---|
| 1543 | ENDIF |
---|
| 1544 | ELSE ! pwb_min + 2*pwb_fk_b < 0 |
---|
| 1545 | ! OSBL shoaling due to restratification flux. This is the velocity defined in Fox-Kemper et al (2008) |
---|
| 1546 | pdhdt(ji,jj) = -1.0_wp * MIN( pvel_mle(ji,jj), hbl(ji,jj) / 10800.0_wp ) |
---|
| 1547 | ENDIF |
---|
| 1548 | ELSE ! Fox-Kemper not used. |
---|
| 1549 | zvel_max = -1.0_wp * ( 1.0_wp + 1.0_wp * ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird * & |
---|
| 1550 | & rn_Dt / hbl(ji,jj) ) * pwb_ent(ji,jj) / & |
---|
| 1551 | & MAX( ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird, epsln ) |
---|
[14803] | 1552 | pdhdt(ji,jj) = -1.0_wp * pwb_ent(ji,jj) / ( zvel_max + MAX( av_db_bl(ji,jj), 1e-15_wp ) ) |
---|
[14779] | 1553 | ! added ajgn 23 July as temporay fix |
---|
| 1554 | ENDIF ! ln_osm_mle |
---|
| 1555 | ! |
---|
[14798] | 1556 | ELSE ! l_conv - Stable |
---|
[14779] | 1557 | ! |
---|
| 1558 | pdhdt(ji,jj) = ( 0.06_wp + 0.52_wp * shol(ji,jj) / 2.0_wp ) * svstr(ji,jj)**3 / hbl(ji,jj) + swbav(ji,jj) |
---|
| 1559 | IF ( pdhdt(ji,jj) < 0.0_wp ) THEN ! For long timsteps factor in brackets slows the rapid collapse of the OSBL |
---|
| 1560 | zpert = 2.0_wp * ( 1.0_wp + 0.0_wp * 2.0_wp * svstr(ji,jj) * rn_Dt / hbl(ji,jj) ) * svstr(ji,jj)**2 / hbl(ji,jj) |
---|
| 1561 | ELSE |
---|
[14803] | 1562 | zpert = MAX( svstr(ji,jj)**2 / hbl(ji,jj), av_db_bl(ji,jj) ) |
---|
[14779] | 1563 | ENDIF |
---|
| 1564 | pdhdt(ji,jj) = 2.0_wp * pdhdt(ji,jj) / MAX( zpert, epsln ) |
---|
| 1565 | pdhdt(ji,jj) = MAX( pdhdt(ji,jj), -1.0_wp * hbl(ji,jj) / 5400.0_wp ) |
---|
| 1566 | ! |
---|
[14798] | 1567 | ENDIF ! l_conv |
---|
[14779] | 1568 | ! |
---|
[14798] | 1569 | ELSE ! l_shear |
---|
[14779] | 1570 | ! |
---|
[14798] | 1571 | IF ( l_conv(ji,jj) ) THEN ! Convective |
---|
[14779] | 1572 | ! |
---|
| 1573 | IF ( ln_osm_mle ) THEN |
---|
| 1574 | IF ( hmle(ji,jj) > hbl(ji,jj) ) THEN ! Fox-Kemper buoyancy flux average over OSBL |
---|
| 1575 | pwb_fk_b(ji,jj) = pwb_fk(ji,jj) * & |
---|
| 1576 | ( 1.0_wp + hmle(ji,jj) / ( 6.0_wp * hbl(ji,jj) ) * & |
---|
| 1577 | & ( -1.0_wp + ( 1.0_wp - 2.0_wp * hbl(ji,jj) / hmle(ji,jj))**3) ) |
---|
| 1578 | ELSE |
---|
| 1579 | pwb_fk_b(ji,jj) = 0.5_wp * pwb_fk(ji,jj) * hmle(ji,jj) / hbl(ji,jj) |
---|
| 1580 | ENDIF |
---|
| 1581 | zvel_max = ( swstrl(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**p2third / hbl(ji,jj) |
---|
| 1582 | IF ( ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) < 0.0_wp ) THEN ! OSBL is deepening, |
---|
| 1583 | ! ! entrainment > restratification |
---|
[14803] | 1584 | IF ( av_db_bl(ji,jj) > 0.0_wp .AND. pdbdz_bl_ext(ji,jj) > 0.0_wp ) THEN |
---|
[14779] | 1585 | pdhdt(ji,jj) = -1.0_wp * ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) / & |
---|
[14803] | 1586 | & ( zvel_max + MAX( av_db_bl(ji,jj), 1e-15_wp ) ) |
---|
[14779] | 1587 | ELSE |
---|
| 1588 | pdhdt(ji,jj) = -1.0_wp * ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) / MAX( zvel_max, 1e-15_wp ) |
---|
| 1589 | ENDIF |
---|
| 1590 | ELSE ! OSBL shoaling due to restratification flux. This is the velocity defined in Fox-Kemper et al (2008) |
---|
| 1591 | pdhdt(ji,jj) = -1.0_wp * MIN( pvel_mle(ji,jj), hbl(ji,jj) / 10800.0_wp ) |
---|
| 1592 | ENDIF |
---|
| 1593 | ELSE ! Fox-Kemper not used |
---|
| 1594 | zvel_max = -1.0_wp * pwb_ent(ji,jj) / MAX( ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird, epsln ) |
---|
[14803] | 1595 | pdhdt(ji,jj) = -1.0_wp * pwb_ent(ji,jj) / ( zvel_max + MAX( av_db_bl(ji,jj), 1e-15_wp ) ) |
---|
[14779] | 1596 | ! added ajgn 23 July as temporay fix |
---|
| 1597 | ENDIF ! ln_osm_mle |
---|
| 1598 | ! |
---|
| 1599 | ELSE ! Stable |
---|
| 1600 | ! |
---|
| 1601 | pdhdt(ji,jj) = ( 0.06_wp + 0.52_wp * shol(ji,jj) / 2.0_wp ) * svstr(ji,jj)**3 / hbl(ji,jj) + swbav(ji,jj) |
---|
| 1602 | IF ( pdhdt(ji,jj) < 0.0_wp ) THEN |
---|
| 1603 | ! For long timsteps factor in brackets slows the rapid collapse of the OSBL |
---|
| 1604 | zpert = 2.0_wp * svstr(ji,jj)**2 / hbl(ji,jj) |
---|
| 1605 | ELSE |
---|
[14803] | 1606 | zpert = MAX( svstr(ji,jj)**2 / hbl(ji,jj), av_db_bl(ji,jj) ) |
---|
[14779] | 1607 | ENDIF |
---|
| 1608 | pdhdt(ji,jj) = 2.0_wp * pdhdt(ji,jj) / MAX(zpert, epsln) |
---|
| 1609 | pdhdt(ji,jj) = MAX( pdhdt(ji,jj), -1.0_wp * hbl(ji,jj) / 5400.0_wp ) |
---|
| 1610 | ! |
---|
[14798] | 1611 | ENDIF ! l_conv |
---|
[14779] | 1612 | ! |
---|
[14798] | 1613 | ENDIF ! l_shear |
---|
[14779] | 1614 | ! |
---|
| 1615 | END_2D |
---|
| 1616 | ! |
---|
| 1617 | IF( ln_timing ) CALL timing_stop('zdf_osm_cd') |
---|
| 1618 | ! |
---|
| 1619 | END SUBROUTINE zdf_osm_calculate_dhdt |
---|
| 1620 | |
---|
[14802] | 1621 | SUBROUTINE zdf_osm_timestep_hbl( Kmm, pdhdt, phbl, phbl_t, pwb_ent, & |
---|
| 1622 | & pwb_fk_b ) |
---|
[14779] | 1623 | !!--------------------------------------------------------------------- |
---|
| 1624 | !! *** ROUTINE zdf_osm_timestep_hbl *** |
---|
| 1625 | !! |
---|
| 1626 | !! ** Purpose : Increments hbl. |
---|
| 1627 | !! |
---|
| 1628 | !! ** Method : If the change in hbl exceeds one model level the change is |
---|
| 1629 | !! is calculated by moving down the grid, changing the |
---|
| 1630 | !! buoyancy jump. This is to ensure that the change in hbl |
---|
| 1631 | !! does not overshoot a stable layer. |
---|
| 1632 | !! |
---|
| 1633 | !!---------------------------------------------------------------------- |
---|
| 1634 | INTEGER, INTENT(in ) :: Kmm ! Ocean time-level index |
---|
| 1635 | REAL(wp), DIMENSION(A2D(0)), INTENT(inout) :: pdhdt ! Rates of change of hbl |
---|
[14816] | 1636 | REAL(wp), DIMENSION(A2D(0)), INTENT(inout) :: phbl ! BL depth |
---|
| 1637 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: phbl_t ! BL depth |
---|
| 1638 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pwb_ent ! Buoyancy entrainment flux |
---|
| 1639 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pwb_fk_b ! MLE buoyancy flux averaged over OSBL |
---|
[14779] | 1640 | ! |
---|
| 1641 | ! Local variables |
---|
[14783] | 1642 | INTEGER :: jk, jj, ji, jm |
---|
| 1643 | REAL(wp) :: zhbl_s, zvel_max, zdb |
---|
| 1644 | REAL(wp) :: zthermal, zbeta |
---|
[14779] | 1645 | ! |
---|
| 1646 | IF( ln_timing ) CALL timing_start('zdf_osm_th') |
---|
| 1647 | ! |
---|
| 1648 | DO_2D( 0, 0, 0, 0 ) |
---|
[14798] | 1649 | IF ( nbld(ji,jj) - nmld(ji,jj) > 1 ) THEN |
---|
[14779] | 1650 | ! |
---|
| 1651 | ! If boundary layer changes by more than one level, need to check for stable layers between initial and final depths. |
---|
| 1652 | ! |
---|
| 1653 | zhbl_s = hbl(ji,jj) |
---|
[14798] | 1654 | jm = nmld(ji,jj) |
---|
[14779] | 1655 | zthermal = rab_n(ji,jj,1,jp_tem) |
---|
| 1656 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
| 1657 | ! |
---|
[14798] | 1658 | IF ( l_conv(ji,jj) ) THEN ! Unstable |
---|
[14779] | 1659 | ! |
---|
| 1660 | IF( ln_osm_mle ) THEN |
---|
| 1661 | zvel_max = ( swstrl(ji,jj)**3 + swstrc(ji,jj)**3 )**p2third / hbl(ji,jj) |
---|
| 1662 | ELSE |
---|
| 1663 | zvel_max = -1.0_wp * ( 1.0_wp + 1.0_wp * ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird * rn_Dt / & |
---|
| 1664 | & hbl(ji,jj) ) * pwb_ent(ji,jj) / & |
---|
| 1665 | & ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird |
---|
| 1666 | ENDIF |
---|
[14798] | 1667 | DO jk = nmld(ji,jj), nbld(ji,jj) |
---|
[14802] | 1668 | zdb = MAX( grav * ( zthermal * ( av_t_bl(ji,jj) - ts(ji,jj,jm,jp_tem,Kmm) ) - & |
---|
| 1669 | & zbeta * ( av_s_bl(ji,jj) - ts(ji,jj,jm,jp_sal,Kmm) ) ), 0.0_wp ) + zvel_max |
---|
[14779] | 1670 | ! |
---|
| 1671 | IF ( ln_osm_mle ) THEN |
---|
| 1672 | zhbl_s = zhbl_s + MIN( rn_Dt * ( ( -1.0_wp * pwb_ent(ji,jj) - 2.0_wp * pwb_fk_b(ji,jj) ) / zdb ) / & |
---|
[14798] | 1673 | & REAL( nbld(ji,jj) - nmld(ji,jj), KIND=wp ), e3w(ji,jj,jm,Kmm) ) |
---|
[14779] | 1674 | ELSE |
---|
| 1675 | zhbl_s = zhbl_s + MIN( rn_Dt * ( -1.0_wp * pwb_ent(ji,jj) / zdb ) / & |
---|
[14798] | 1676 | & REAL( nbld(ji,jj) - nmld(ji,jj), KIND=wp ), e3w(ji,jj,jm,Kmm) ) |
---|
[14779] | 1677 | ENDIF |
---|
| 1678 | ! zhbl_s = MIN(zhbl_s, gdepw(ji,jj, mbkt(ji,jj) + 1,Kmm) - depth_tol) |
---|
| 1679 | IF ( zhbl_s >= gdepw(ji,jj,mbkt(ji,jj) + 1,Kmm) ) THEN |
---|
| 1680 | zhbl_s = MIN( zhbl_s, gdepw(ji,jj, mbkt(ji,jj) + 1, Kmm ) - depth_tol ) |
---|
[14798] | 1681 | l_pyc(ji,jj) = .FALSE. |
---|
[14779] | 1682 | ENDIF |
---|
| 1683 | IF ( zhbl_s >= gdepw(ji,jj,jm+1,Kmm) ) jm = jm + 1 |
---|
| 1684 | END DO |
---|
| 1685 | hbl(ji,jj) = zhbl_s |
---|
[14798] | 1686 | nbld(ji,jj) = jm |
---|
[14779] | 1687 | ELSE ! Stable |
---|
[14798] | 1688 | DO jk = nmld(ji,jj), nbld(ji,jj) |
---|
[14802] | 1689 | zdb = MAX( grav * ( zthermal * ( av_t_bl(ji,jj) - ts(ji,jj,jm,jp_tem,Kmm) ) - & |
---|
| 1690 | & zbeta * ( av_s_bl(ji,jj) - ts(ji,jj,jm,jp_sal,Kmm) ) ), 0.0_wp ) + & |
---|
[14779] | 1691 | & 2.0 * svstr(ji,jj)**2 / zhbl_s |
---|
| 1692 | ! |
---|
| 1693 | ! Alan is thuis right? I have simply changed hbli to hbl |
---|
| 1694 | shol(ji,jj) = -1.0_wp * zhbl_s / ( ( svstr(ji,jj)**3 + epsln ) / swbav(ji,jj) ) |
---|
| 1695 | pdhdt(ji,jj) = -1.0_wp * ( swbav(ji,jj) - 0.04_wp / 2.0_wp * swstrl(ji,jj)**3 / zhbl_s - & |
---|
| 1696 | & 0.15_wp / 2.0_wp * ( 1.0_wp - EXP( -1.5_wp * sla(ji,jj) ) ) * & |
---|
| 1697 | & sustar(ji,jj)**3 / zhbl_s ) * & |
---|
| 1698 | & ( 0.725_wp + 0.225_wp * EXP( -7.5_wp * shol(ji,jj) ) ) |
---|
| 1699 | pdhdt(ji,jj) = pdhdt(ji,jj) + swbav(ji,jj) |
---|
[14798] | 1700 | zhbl_s = zhbl_s + MIN( pdhdt(ji,jj) / zdb * rn_Dt / REAL( nbld(ji,jj) - nmld(ji,jj), KIND=wp ), & |
---|
[14779] | 1701 | & e3w(ji,jj,jm,Kmm) ) |
---|
| 1702 | |
---|
| 1703 | ! zhbl_s = MIN(zhbl_s, gdepw(ji,jj, mbkt(ji,jj) + 1,Kmm) - depth_tol) |
---|
| 1704 | IF ( zhbl_s >= mbkt(ji,jj) + 1 ) THEN |
---|
| 1705 | zhbl_s = MIN( zhbl_s, gdepw(ji,jj,mbkt(ji,jj)+1,Kmm) - depth_tol ) |
---|
[14798] | 1706 | l_pyc(ji,jj) = .FALSE. |
---|
[14779] | 1707 | ENDIF |
---|
| 1708 | IF ( zhbl_s >= gdepw(ji,jj,jm,Kmm) ) jm = jm + 1 |
---|
| 1709 | END DO |
---|
[14798] | 1710 | ENDIF ! IF ( l_conv ) |
---|
[14779] | 1711 | hbl(ji,jj) = MAX( zhbl_s, gdepw(ji,jj,4,Kmm) ) |
---|
[14798] | 1712 | nbld(ji,jj) = MAX( jm, 4 ) |
---|
[14779] | 1713 | ELSE |
---|
| 1714 | ! change zero or one model level. |
---|
| 1715 | hbl(ji,jj) = MAX( phbl_t(ji,jj), gdepw(ji,jj,4,Kmm) ) |
---|
| 1716 | ENDIF |
---|
[14798] | 1717 | phbl(ji,jj) = gdepw(ji,jj,nbld(ji,jj),Kmm) |
---|
[14779] | 1718 | END_2D |
---|
| 1719 | ! |
---|
| 1720 | IF( ln_timing ) CALL timing_stop('zdf_osm_th') |
---|
| 1721 | ! |
---|
| 1722 | END SUBROUTINE zdf_osm_timestep_hbl |
---|
| 1723 | |
---|
[14803] | 1724 | SUBROUTINE zdf_osm_pycnocline_thickness( Kmm, pdh, phml, pdhdt, phbl, & |
---|
| 1725 | & pwb_ent, pdbdz_bl_ext, pwb_fk_b ) |
---|
[14783] | 1726 | !!--------------------------------------------------------------------- |
---|
| 1727 | !! *** ROUTINE zdf_osm_pycnocline_thickness *** |
---|
| 1728 | !! |
---|
| 1729 | !! ** Purpose : Calculates thickness of the pycnocline |
---|
| 1730 | !! |
---|
| 1731 | !! ** Method : The thickness is calculated from a prognostic equation |
---|
| 1732 | !! that relaxes the pycnocine thickness to a diagnostic |
---|
| 1733 | !! value. The time change is calculated assuming the |
---|
| 1734 | !! thickness relaxes exponentially. This is done to deal |
---|
| 1735 | !! with large timesteps. |
---|
| 1736 | !! |
---|
| 1737 | !!---------------------------------------------------------------------- |
---|
| 1738 | INTEGER, INTENT(in ) :: Kmm ! Ocean time-level index |
---|
[14816] | 1739 | REAL(wp), DIMENSION(A2D(0)), INTENT(inout) :: pdh ! Pycnocline thickness |
---|
| 1740 | REAL(wp), DIMENSION(A2D(0)), INTENT(inout) :: phml ! ML depth |
---|
[14783] | 1741 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdhdt ! BL depth tendency |
---|
[14816] | 1742 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: phbl ! BL depth |
---|
| 1743 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pwb_ent ! Buoyancy entrainment flux |
---|
[14783] | 1744 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdbdz_bl_ext ! External buoyancy gradients |
---|
[14816] | 1745 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pwb_fk_b ! MLE buoyancy flux averaged over OSBL |
---|
[14783] | 1746 | |
---|
| 1747 | ! |
---|
| 1748 | ! Local variables |
---|
| 1749 | INTEGER :: jj, ji |
---|
| 1750 | INTEGER :: inhml |
---|
| 1751 | REAL(wp) :: zari, ztau, zdh_ref, zddhdt, zvel_max |
---|
| 1752 | REAL(wp) :: ztmp ! Auxiliary variable |
---|
| 1753 | ! |
---|
[14802] | 1754 | REAL, PARAMETER :: pp_ddh = 2.5_wp, pp_ddh_2 = 3.5_wp ! Also in pycnocline_depth |
---|
[14783] | 1755 | ! |
---|
| 1756 | IF( ln_timing ) CALL timing_start('zdf_osm_pt') |
---|
| 1757 | ! |
---|
| 1758 | DO_2D( 0, 0, 0, 0 ) |
---|
| 1759 | ! |
---|
[14798] | 1760 | IF ( l_shear(ji,jj) ) THEN |
---|
[14783] | 1761 | ! |
---|
[14798] | 1762 | IF ( l_conv(ji,jj) ) THEN |
---|
[14783] | 1763 | ! |
---|
[14803] | 1764 | IF ( av_db_bl(ji,jj) > 1e-15_wp ) THEN |
---|
[14798] | 1765 | IF ( n_ddh(ji,jj) == 0 ) THEN |
---|
[14783] | 1766 | zvel_max = ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**p2third / hbl(ji,jj) |
---|
| 1767 | ! ddhdt for pycnocline determined in osm_calculate_dhdt |
---|
[14802] | 1768 | zddhdt = -1.0_wp * pp_ddh * ( 1.0_wp - 1.6_wp * pdh(ji,jj) / phbl(ji,jj) ) * pwb_ent(ji,jj) / & |
---|
[14803] | 1769 | & ( zvel_max + MAX( av_db_bl(ji,jj), 1e-15 ) ) |
---|
[14783] | 1770 | zddhdt = EXP( -4.0_wp * ABS( ff_t(ji,jj) ) * phbl(ji,jj) / MAX( sustar(ji,jj), 1e-8 ) ) * zddhdt |
---|
| 1771 | ! Maximum limit for how thick the shear layer can grow relative to the thickness of the boundary layer |
---|
| 1772 | dh(ji,jj) = MIN( dh(ji,jj) + zddhdt * rn_Dt, 0.625_wp * hbl(ji,jj) ) |
---|
| 1773 | ELSE ! Need to recalculate because hbl has been updated |
---|
| 1774 | IF ( ( swstrc(ji,jj) / svstr(ji,jj) )**3 <= 0.5_wp ) THEN |
---|
| 1775 | ztmp = svstr(ji,jj) |
---|
| 1776 | ELSE |
---|
| 1777 | ztmp = swstrc(ji,jj) |
---|
| 1778 | END IF |
---|
[14803] | 1779 | zari = MIN( 1.5_wp * av_db_bl(ji,jj) / ( phbl(ji,jj) * ( MAX( pdbdz_bl_ext(ji,jj), 0.0_wp ) + & |
---|
| 1780 | & av_db_bl(ji,jj)**2 / MAX( 4.5_wp * ztmp**2, & |
---|
[14783] | 1781 | & 1e-12_wp ) ) ), 0.2_wp ) |
---|
[14803] | 1782 | ztau = MAX( av_db_bl(ji,jj) * ( zari * hbl(ji,jj) ) / & |
---|
| 1783 | & ( pp_ddh_2 * MAX( -1.0_wp * pwb_ent(ji,jj), 1e-12_wp ) ), 2.0_wp * rn_Dt ) |
---|
[14783] | 1784 | dh(ji,jj) = dh(ji,jj) * EXP( -1.0_wp * rn_Dt / ztau ) + & |
---|
| 1785 | & zari * phbl(ji,jj) * ( 1.0_wp - EXP( -1.0_wp * rn_Dt / ztau ) ) |
---|
| 1786 | IF ( dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zari * phbl(ji,jj) |
---|
| 1787 | END IF |
---|
| 1788 | ELSE |
---|
| 1789 | ztau = MAX( MAX( hbl(ji,jj) / ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird, epsln), 2.0_wp * rn_Dt ) |
---|
| 1790 | dh(ji,jj) = dh(ji,jj) * EXP( -1.0_wp * rn_Dt / ztau ) + & |
---|
| 1791 | & 0.2_wp * phbl(ji,jj) * ( 1.0_wp - EXP( -1.0_wp * rn_Dt / ztau ) ) |
---|
| 1792 | IF ( dh(ji,jj) > hbl(ji,jj) ) dh(ji,jj) = 0.2_wp * hbl(ji,jj) |
---|
| 1793 | END IF |
---|
| 1794 | ! |
---|
[14798] | 1795 | ELSE ! l_conv |
---|
[14783] | 1796 | ! Initially shear only for entraining OSBL. Stable code will be needed if extended to stable OSBL |
---|
| 1797 | ztau = hbl(ji,jj) / MAX(svstr(ji,jj), epsln) |
---|
| 1798 | IF ( pdhdt(ji,jj) >= 0.0_wp ) THEN ! Probably shouldn't include wm here |
---|
| 1799 | ! Boundary layer deepening |
---|
[14803] | 1800 | IF ( av_db_bl(ji,jj) > 0.0_wp ) THEN |
---|
[14783] | 1801 | ! Pycnocline thickness set by stratification - use same relationship as for neutral conditions |
---|
[14803] | 1802 | zari = MIN( 4.5_wp * ( svstr(ji,jj)**2 ) / MAX( av_db_bl(ji,jj) * phbl(ji,jj), epsln ) + 0.01_wp, 0.2_wp ) |
---|
[14783] | 1803 | zdh_ref = MIN( zari, 0.2_wp ) * hbl(ji,jj) |
---|
| 1804 | ELSE |
---|
| 1805 | zdh_ref = 0.2_wp * hbl(ji,jj) |
---|
| 1806 | ENDIF |
---|
| 1807 | ELSE ! IF(dhdt < 0) |
---|
| 1808 | zdh_ref = 0.2_wp * hbl(ji,jj) |
---|
| 1809 | ENDIF ! IF (dhdt >= 0) |
---|
| 1810 | dh(ji,jj) = dh(ji,jj) * EXP( -1.0_wp * rn_Dt / ztau ) + zdh_ref * ( 1.0_wp - EXP( -1.0_wp * rn_Dt / ztau ) ) |
---|
| 1811 | IF ( pdhdt(ji,jj) < 0.0_wp .AND. dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zdh_ref ! Can be a problem with dh>hbl for |
---|
| 1812 | ! ! rapid collapse |
---|
| 1813 | ENDIF |
---|
| 1814 | ! |
---|
[14798] | 1815 | ELSE ! l_shear = .FALSE., calculate ddhdt here |
---|
[14783] | 1816 | ! |
---|
[14798] | 1817 | IF ( l_conv(ji,jj) ) THEN |
---|
[14783] | 1818 | ! |
---|
| 1819 | IF( ln_osm_mle ) THEN |
---|
| 1820 | IF ( ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) < 0.0_wp ) THEN ! OSBL is deepening. Note wb_fk_b is zero if |
---|
| 1821 | ! ! ln_osm_mle=F |
---|
[14803] | 1822 | IF ( av_db_bl(ji,jj) > 0.0_wp .AND. pdbdz_bl_ext(ji,jj) > 0.0_wp ) THEN |
---|
[14783] | 1823 | IF ( ( swstrc(ji,jj) / MAX( svstr(ji,jj), epsln) )**3 <= 0.5_wp ) THEN ! Near neutral stability |
---|
| 1824 | ztmp = svstr(ji,jj) |
---|
| 1825 | ELSE ! Unstable |
---|
| 1826 | ztmp = swstrc(ji,jj) |
---|
| 1827 | END IF |
---|
[14803] | 1828 | zari = MIN( 1.5_wp * av_db_bl(ji,jj) / ( phbl(ji,jj) * & |
---|
[14783] | 1829 | & ( MAX( pdbdz_bl_ext(ji,jj), 0.0_wp) + & |
---|
[14803] | 1830 | & av_db_bl(ji,jj)**2 / MAX(4.5_wp * ztmp**2 , 1e-12_wp ) ) ), 0.2_wp ) |
---|
[14783] | 1831 | ELSE |
---|
| 1832 | zari = 0.2_wp |
---|
| 1833 | END IF |
---|
| 1834 | ELSE |
---|
| 1835 | zari = 0.2_wp |
---|
| 1836 | END IF |
---|
| 1837 | ztau = 0.2_wp * hbl(ji,jj) / MAX( epsln, ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird ) |
---|
| 1838 | zdh_ref = zari * hbl(ji,jj) |
---|
| 1839 | ELSE ! ln_osm_mle |
---|
[14803] | 1840 | IF ( av_db_bl(ji,jj) > 0.0_wp .AND. pdbdz_bl_ext(ji,jj) > 0.0_wp ) THEN |
---|
[14783] | 1841 | IF ( ( swstrc(ji,jj) / MAX( svstr(ji,jj), epsln ) )**3 <= 0.5_wp ) THEN ! Near neutral stability |
---|
| 1842 | ztmp = svstr(ji,jj) |
---|
| 1843 | ELSE ! Unstable |
---|
| 1844 | ztmp = swstrc(ji,jj) |
---|
| 1845 | END IF |
---|
[14803] | 1846 | zari = MIN( 1.5_wp * av_db_bl(ji,jj) / ( phbl(ji,jj) * & |
---|
[14783] | 1847 | & ( MAX( pdbdz_bl_ext(ji,jj), 0.0_wp ) + & |
---|
[14803] | 1848 | & av_db_bl(ji,jj)**2 / MAX( 4.5_wp * ztmp**2 , 1e-12_wp ) ) ), 0.2_wp ) |
---|
[14783] | 1849 | ELSE |
---|
| 1850 | zari = 0.2_wp |
---|
| 1851 | END IF |
---|
| 1852 | ztau = hbl(ji,jj) / MAX( epsln, ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird ) |
---|
| 1853 | zdh_ref = zari * hbl(ji,jj) |
---|
| 1854 | END IF ! ln_osm_mle |
---|
| 1855 | dh(ji,jj) = dh(ji,jj) * EXP( -1.0_wp * rn_Dt / ztau ) + zdh_ref * ( 1.0_wp - EXP( -1.0_wp * rn_Dt / ztau ) ) |
---|
| 1856 | ! IF ( pdhdt(ji,jj) < 0._wp .and. dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zdh_ref |
---|
| 1857 | IF ( dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zdh_ref |
---|
| 1858 | ! Alan: this hml is never defined or used |
---|
[14798] | 1859 | ELSE ! IF (l_conv) |
---|
[14783] | 1860 | ! |
---|
| 1861 | ztau = hbl(ji,jj) / MAX( svstr(ji,jj), epsln ) |
---|
| 1862 | IF ( pdhdt(ji,jj) >= 0.0_wp ) THEN ! Probably shouldn't include wm here |
---|
| 1863 | ! Boundary layer deepening |
---|
[14803] | 1864 | IF ( av_db_bl(ji,jj) > 0.0_wp ) THEN |
---|
[14783] | 1865 | ! Pycnocline thickness set by stratification - use same relationship as for neutral conditions. |
---|
[14803] | 1866 | zari = MIN( 4.5_wp * ( svstr(ji,jj)**2 ) / MAX( av_db_bl(ji,jj) * phbl(ji,jj), epsln ) + 0.01_wp , 0.2_wp ) |
---|
[14783] | 1867 | zdh_ref = MIN( zari, 0.2_wp ) * hbl(ji,jj) |
---|
| 1868 | ELSE |
---|
| 1869 | zdh_ref = 0.2_wp * hbl(ji,jj) |
---|
| 1870 | END IF |
---|
| 1871 | ELSE ! IF(dhdt < 0) |
---|
| 1872 | zdh_ref = 0.2_wp * hbl(ji,jj) |
---|
| 1873 | END IF ! IF (dhdt >= 0) |
---|
| 1874 | dh(ji,jj) = dh(ji,jj) * EXP( -1.0_wp * rn_Dt / ztau ) + zdh_ref * ( 1.0_wp - EXP( -1.0_wp * rn_Dt / ztau ) ) |
---|
| 1875 | IF ( pdhdt(ji,jj) < 0.0_wp .AND. dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zdh_ref ! Can be a problem with dh>hbl for |
---|
| 1876 | ! ! rapid collapse |
---|
[14798] | 1877 | END IF ! IF (l_conv) |
---|
[14783] | 1878 | ! |
---|
[14798] | 1879 | END IF ! l_shear |
---|
[14783] | 1880 | ! |
---|
| 1881 | hml(ji,jj) = hbl(ji,jj) - dh(ji,jj) |
---|
[14798] | 1882 | inhml = MAX( INT( dh(ji,jj) / MAX( e3t(ji,jj,nbld(ji,jj)-1,Kmm), 1e-3_wp ) ), 1 ) |
---|
| 1883 | nmld(ji,jj) = MAX( nbld(ji,jj) - inhml, 3 ) |
---|
| 1884 | phml(ji,jj) = gdepw(ji,jj,nmld(ji,jj),Kmm) |
---|
[14783] | 1885 | pdh(ji,jj) = phbl(ji,jj) - phml(ji,jj) |
---|
| 1886 | ! |
---|
| 1887 | END_2D |
---|
| 1888 | ! |
---|
| 1889 | IF( ln_timing ) CALL timing_stop('zdf_osm_pt') |
---|
| 1890 | ! |
---|
| 1891 | END SUBROUTINE zdf_osm_pycnocline_thickness |
---|
| 1892 | |
---|
[14803] | 1893 | SUBROUTINE zdf_osm_pycnocline_buoyancy_profiles( Kmm, kp_ext, pdbdz, palpha, pdh, & |
---|
| 1894 | & phbl, pdbdz_bl_ext, phml, pdhdt ) |
---|
[14783] | 1895 | !!--------------------------------------------------------------------- |
---|
| 1896 | !! *** ROUTINE zdf_osm_pycnocline_buoyancy_profiles *** |
---|
| 1897 | !! |
---|
| 1898 | !! ** Purpose : calculate pycnocline buoyancy profiles |
---|
| 1899 | !! |
---|
| 1900 | !! ** Method : |
---|
| 1901 | !! |
---|
| 1902 | !!---------------------------------------------------------------------- |
---|
[14816] | 1903 | INTEGER, INTENT(in ) :: Kmm ! Ocean time-level index |
---|
| 1904 | INTEGER, DIMENSION(A2D(0)), INTENT(in ) :: kp_ext ! External-level offsets |
---|
| 1905 | REAL(wp), DIMENSION(A2D(0),jpk), INTENT( out) :: pdbdz ! Gradients in the pycnocline |
---|
| 1906 | REAL(wp), DIMENSION(A2D(0)), INTENT( out) :: palpha |
---|
| 1907 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdh ! Pycnocline thickness |
---|
| 1908 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: phbl ! BL depth |
---|
| 1909 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdbdz_bl_ext ! External buoyancy gradients |
---|
| 1910 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: phml ! ML depth |
---|
| 1911 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdhdt ! Rates of change of hbl |
---|
[14783] | 1912 | ! |
---|
| 1913 | ! Local variables |
---|
| 1914 | INTEGER :: jk, jj, ji |
---|
| 1915 | REAL(wp) :: zbgrad |
---|
| 1916 | REAL(wp) :: zgamma_b_nd, znd |
---|
| 1917 | REAL(wp) :: zzeta_m |
---|
| 1918 | REAL(wp) :: ztmp ! Auxiliary variable |
---|
| 1919 | ! |
---|
[14802] | 1920 | REAL(wp), PARAMETER :: pp_gamma_b = 2.25_wp |
---|
[14816] | 1921 | REAL(wp), PARAMETER :: pp_large = -1e10_wp |
---|
[14783] | 1922 | ! |
---|
| 1923 | IF( ln_timing ) CALL timing_start('zdf_osm_pscp') |
---|
| 1924 | ! |
---|
[14816] | 1925 | pdbdz(:,:,:) = pp_large |
---|
| 1926 | palpha(:,:) = pp_large |
---|
| 1927 | ! |
---|
[14783] | 1928 | DO_2D( 0, 0, 0, 0 ) |
---|
| 1929 | ! |
---|
[14798] | 1930 | IF ( nbld(ji,jj) + kp_ext(ji,jj) < mbkt(ji,jj) ) THEN |
---|
[14783] | 1931 | ! |
---|
[14798] | 1932 | IF ( l_conv(ji,jj) ) THEN ! Convective conditions |
---|
[14783] | 1933 | ! |
---|
[14798] | 1934 | IF ( l_pyc(ji,jj) ) THEN |
---|
[14783] | 1935 | ! |
---|
| 1936 | zzeta_m = 0.1_wp + 0.3_wp / ( 1.0_wp + EXP( -3.5_wp * LOG10( -1.0_wp * shol(ji,jj) ) ) ) |
---|
[14802] | 1937 | palpha(ji,jj) = 2.0_wp * ( 1.0_wp - ( 0.80_wp * zzeta_m + 0.5_wp * SQRT( 3.14159_wp / pp_gamma_b ) ) * & |
---|
[14803] | 1938 | & pdbdz_bl_ext(ji,jj) * pdh(ji,jj) / av_db_ml(ji,jj) ) / & |
---|
[14802] | 1939 | & ( 0.723_wp + SQRT( 3.14159_wp / pp_gamma_b ) ) |
---|
[14783] | 1940 | palpha(ji,jj) = MAX( palpha(ji,jj), 0.0_wp ) |
---|
| 1941 | ztmp = 1.0_wp / MAX( pdh(ji,jj), epsln ) |
---|
| 1942 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
| 1943 | ! Commented lines in this section are not needed in new code, once tested ! |
---|
| 1944 | ! can be removed ! |
---|
| 1945 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
[14803] | 1946 | ! ztgrad = zalpha * av_dt_ml(ji,jj) * ztmp + zdtdz_bl_ext(ji,jj) |
---|
| 1947 | ! zsgrad = zalpha * av_ds_ml(ji,jj) * ztmp + zdsdz_bl_ext(ji,jj) |
---|
| 1948 | zbgrad = palpha(ji,jj) * av_db_ml(ji,jj) * ztmp + pdbdz_bl_ext(ji,jj) |
---|
| 1949 | zgamma_b_nd = pdbdz_bl_ext(ji,jj) * pdh(ji,jj) / MAX( av_db_ml(ji,jj), epsln ) |
---|
[14798] | 1950 | DO jk = 2, nbld(ji,jj) |
---|
[14783] | 1951 | znd = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phbl(ji,jj) ) * ztmp |
---|
| 1952 | IF ( znd <= zzeta_m ) THEN |
---|
[14803] | 1953 | ! zdtdz(ji,jj,jk) = zdtdz_bl_ext(ji,jj) + zalpha * av_dt_ml(ji,jj) * ztmp * & |
---|
[14783] | 1954 | ! & EXP( -6.0 * ( znd -zzeta_m )**2 ) |
---|
[14803] | 1955 | ! zdsdz(ji,jj,jk) = zdsdz_bl_ext(ji,jj) + zalpha * av_ds_ml(ji,jj) * ztmp * & |
---|
[14783] | 1956 | ! & EXP( -6.0 * ( znd -zzeta_m )**2 ) |
---|
[14803] | 1957 | pdbdz(ji,jj,jk) = pdbdz_bl_ext(ji,jj) + palpha(ji,jj) * av_db_ml(ji,jj) * ztmp * & |
---|
[14783] | 1958 | & EXP( -6.0_wp * ( znd -zzeta_m )**2 ) |
---|
| 1959 | ELSE |
---|
[14802] | 1960 | ! zdtdz(ji,jj,jk) = ztgrad * EXP( -pp_gamma_b * ( znd - zzeta_m )**2 ) |
---|
| 1961 | ! zdsdz(ji,jj,jk) = zsgrad * EXP( -pp_gamma_b * ( znd - zzeta_m )**2 ) |
---|
| 1962 | pdbdz(ji,jj,jk) = zbgrad * EXP( -1.0_wp * pp_gamma_b * ( znd - zzeta_m )**2 ) |
---|
[14783] | 1963 | END IF |
---|
| 1964 | END DO |
---|
| 1965 | END IF ! If no pycnocline pycnocline gradients set to zero |
---|
| 1966 | ! |
---|
| 1967 | ELSE ! Stable conditions |
---|
| 1968 | ! If pycnocline profile only defined when depth steady of increasing. |
---|
| 1969 | IF ( pdhdt(ji,jj) > 0.0_wp ) THEN ! Depth increasing, or steady. |
---|
[14803] | 1970 | IF ( av_db_bl(ji,jj) > 0.0_wp ) THEN |
---|
[14783] | 1971 | IF ( shol(ji,jj) >= 0.5_wp ) THEN ! Very stable - 'thick' pycnocline |
---|
| 1972 | ztmp = 1.0_wp / MAX( phbl(ji,jj), epsln ) |
---|
[14803] | 1973 | zbgrad = av_db_bl(ji,jj) * ztmp |
---|
[14798] | 1974 | DO jk = 2, nbld(ji,jj) |
---|
[14783] | 1975 | znd = gdepw(ji,jj,jk,Kmm) * ztmp |
---|
[14816] | 1976 | pdbdz(ji,jj,jk) = zbgrad * EXP( -15.0_wp * ( znd - 0.9_wp )**2 ) |
---|
[14783] | 1977 | END DO |
---|
| 1978 | ELSE ! Slightly stable - 'thin' pycnoline - needed when stable layer begins to form. |
---|
| 1979 | ztmp = 1.0_wp / MAX( pdh(ji,jj), epsln ) |
---|
[14803] | 1980 | zbgrad = av_db_bl(ji,jj) * ztmp |
---|
[14798] | 1981 | DO jk = 2, nbld(ji,jj) |
---|
[14783] | 1982 | znd = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phml(ji,jj) ) * ztmp |
---|
[14816] | 1983 | pdbdz(ji,jj,jk) = zbgrad * EXP( -1.75_wp * ( znd + 0.75_wp )**2 ) |
---|
[14783] | 1984 | END DO |
---|
| 1985 | END IF ! IF (shol >=0.5) |
---|
[14803] | 1986 | END IF ! IF (av_db_bl> 0.) |
---|
[14783] | 1987 | END IF ! IF (pdhdt >= 0) pdhdt < 0 not considered since pycnocline profile is zero and profile arrays are intialized to zero |
---|
| 1988 | ! |
---|
[14798] | 1989 | END IF ! IF (l_conv) |
---|
[14783] | 1990 | ! |
---|
[14798] | 1991 | END IF ! IF ( nbld(ji,jj) < mbkt(ji,jj) ) |
---|
[14783] | 1992 | ! |
---|
| 1993 | END_2D |
---|
| 1994 | ! |
---|
| 1995 | IF ( ln_dia_pyc_scl ) THEN ! Output of pycnocline gradient profiles |
---|
| 1996 | IF ( iom_use("zdbdz_pyc") ) CALL iom_put( "zdbdz_pyc", wmask(:,:,:) * pdbdz(:,:,:) ) |
---|
| 1997 | END IF |
---|
| 1998 | ! |
---|
| 1999 | IF( ln_timing ) CALL timing_stop('zdf_osm_pscp') |
---|
| 2000 | ! |
---|
| 2001 | END SUBROUTINE zdf_osm_pycnocline_buoyancy_profiles |
---|
| 2002 | |
---|
[14802] | 2003 | SUBROUTINE zdf_osm_diffusivity_viscosity( Kbb, Kmm, pdiffut, pviscos, phbl, & |
---|
| 2004 | & phml, pdh, pdhdt, pshear, & |
---|
[14798] | 2005 | & pwb_ent, pwb_min ) |
---|
[14775] | 2006 | !!--------------------------------------------------------------------- |
---|
| 2007 | !! *** ROUTINE zdf_osm_diffusivity_viscosity *** |
---|
| 2008 | !! |
---|
| 2009 | !! ** Purpose : Determines the eddy diffusivity and eddy viscosity |
---|
| 2010 | !! profiles in the mixed layer and the pycnocline. |
---|
| 2011 | !! |
---|
| 2012 | !! ** Method : |
---|
| 2013 | !! |
---|
| 2014 | !!---------------------------------------------------------------------- |
---|
[14816] | 2015 | INTEGER, INTENT(in ) :: Kbb, Kmm ! Ocean time-level indices |
---|
| 2016 | REAL(wp), DIMENSION(A2D(0),jpk), INTENT(inout) :: pdiffut ! t-diffusivity |
---|
| 2017 | REAL(wp), DIMENSION(A2D(0),jpk), INTENT(inout) :: pviscos ! Viscosity |
---|
| 2018 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: phbl ! BL depth |
---|
| 2019 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: phml ! ML depth |
---|
| 2020 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdh ! Pycnocline depth |
---|
| 2021 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdhdt ! BL depth tendency |
---|
| 2022 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pshear ! Shear production |
---|
| 2023 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pwb_ent ! Buoyancy entrainment flux |
---|
| 2024 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pwb_min |
---|
[14775] | 2025 | ! |
---|
| 2026 | ! Local variables |
---|
| 2027 | INTEGER :: ji, jj, jk ! Loop indices |
---|
| 2028 | ! |
---|
| 2029 | ! Scales used to calculate eddy diffusivity and viscosity profiles |
---|
| 2030 | REAL(wp), DIMENSION(A2D(0)) :: zdifml_sc, zvisml_sc |
---|
| 2031 | REAL(wp), DIMENSION(A2D(0)) :: zdifpyc_n_sc, zdifpyc_s_sc |
---|
| 2032 | REAL(wp), DIMENSION(A2D(0)) :: zvispyc_n_sc, zvispyc_s_sc |
---|
| 2033 | REAL(wp), DIMENSION(A2D(0)) :: zbeta_d_sc, zbeta_v_sc |
---|
| 2034 | REAL(wp), DIMENSION(A2D(0)) :: zb_coup, zc_coup_vis, zc_coup_dif |
---|
| 2035 | ! |
---|
| 2036 | REAL(wp) :: zvel_sc_pyc, zvel_sc_ml, zstab_fac, zz_b |
---|
| 2037 | REAL(wp) :: za_cubic, zb_d_cubic, zc_d_cubic, zd_d_cubic, & ! Coefficients in cubic polynomial specifying diffusivity |
---|
| 2038 | & zb_v_cubic, zc_v_cubic, zd_v_cubic ! and viscosity in pycnocline |
---|
| 2039 | REAL(wp) :: zznd_ml, zznd_pyc, ztmp |
---|
| 2040 | REAL(wp) :: zmsku, zmskv |
---|
| 2041 | ! |
---|
[14802] | 2042 | REAL(wp), PARAMETER :: pp_dif_ml = 0.8_wp, pp_vis_ml = 0.375_wp |
---|
| 2043 | REAL(wp), PARAMETER :: pp_dif_pyc = 0.15_wp, pp_vis_pyc = 0.142_wp |
---|
| 2044 | REAL(wp), PARAMETER :: pp_vispyc_shr = 0.15_wp |
---|
[14775] | 2045 | ! |
---|
| 2046 | IF( ln_timing ) CALL timing_start('zdf_osm_dv') |
---|
| 2047 | ! |
---|
| 2048 | zb_coup(:,:) = 0.0_wp |
---|
| 2049 | ! |
---|
| 2050 | DO_2D( 0, 0, 0, 0 ) |
---|
[14798] | 2051 | IF ( l_conv(ji,jj) ) THEN |
---|
[14775] | 2052 | ! |
---|
| 2053 | zvel_sc_pyc = ( 0.15_wp * svstr(ji,jj)**3 + swstrc(ji,jj)**3 + 4.25_wp * pshear(ji,jj) * phbl(ji,jj) )**pthird |
---|
| 2054 | zvel_sc_ml = ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird |
---|
| 2055 | zstab_fac = ( phml(ji,jj) / zvel_sc_ml * & |
---|
[14816] | 2056 | & ( 1.4_wp - 0.4_wp / ( 1.0_wp + EXP(-3.5_wp * LOG10( -1.0_wp * shol(ji,jj) ) ) )**1.25_wp ) )**2 |
---|
[14775] | 2057 | ! |
---|
[14802] | 2058 | zdifml_sc(ji,jj) = pp_dif_ml * phml(ji,jj) * zvel_sc_ml |
---|
| 2059 | zvisml_sc(ji,jj) = pp_vis_ml * zdifml_sc(ji,jj) |
---|
[14775] | 2060 | ! |
---|
[14798] | 2061 | IF ( l_pyc(ji,jj) ) THEN |
---|
[14802] | 2062 | zdifpyc_n_sc(ji,jj) = pp_dif_pyc * zvel_sc_ml * pdh(ji,jj) |
---|
| 2063 | zvispyc_n_sc(ji,jj) = 0.09_wp * zvel_sc_pyc * ( 1.0_wp - phbl(ji,jj) / pdh(ji,jj) )**2 * & |
---|
| 2064 | & ( 0.005_wp * ( av_u_ml(ji,jj) - av_u_bl(ji,jj) )**2 + & |
---|
| 2065 | & 0.0075_wp * ( av_v_ml(ji,jj) - av_v_bl(ji,jj) )**2 ) / & |
---|
[14775] | 2066 | & pdh(ji,jj) |
---|
[14802] | 2067 | zvispyc_n_sc(ji,jj) = pp_vis_pyc * zvel_sc_ml * pdh(ji,jj) + zvispyc_n_sc(ji,jj) * zstab_fac |
---|
[14775] | 2068 | ! |
---|
[14798] | 2069 | IF ( l_shear(ji,jj) .AND. n_ddh(ji,jj) /= 2 ) THEN |
---|
[14802] | 2070 | ztmp = pp_vispyc_shr * ( pshear(ji,jj) * phbl(ji,jj) )**pthird * phbl(ji,jj) |
---|
[14775] | 2071 | zdifpyc_n_sc(ji,jj) = zdifpyc_n_sc(ji,jj) + ztmp |
---|
| 2072 | zvispyc_n_sc(ji,jj) = zvispyc_n_sc(ji,jj) + ztmp |
---|
| 2073 | ENDIF |
---|
| 2074 | ! |
---|
| 2075 | zdifpyc_s_sc(ji,jj) = pwb_ent(ji,jj) + 0.0025_wp * zvel_sc_pyc * ( phbl(ji,jj) / pdh(ji,jj) - 1.0_wp ) * & |
---|
[14802] | 2076 | & ( av_b_ml(ji,jj) - av_b_bl(ji,jj) ) |
---|
[14775] | 2077 | zvispyc_s_sc(ji,jj) = 0.09_wp * ( pwb_min(ji,jj) + 0.0025_wp * zvel_sc_pyc * & |
---|
| 2078 | & ( phbl(ji,jj) / pdh(ji,jj) - 1.0_wp ) * & |
---|
[14802] | 2079 | & ( av_b_ml(ji,jj) - av_b_bl(ji,jj) ) ) |
---|
[14775] | 2080 | zdifpyc_s_sc(ji,jj) = 0.09_wp * zdifpyc_s_sc(ji,jj) * zstab_fac |
---|
| 2081 | zvispyc_s_sc(ji,jj) = zvispyc_s_sc(ji,jj) * zstab_fac |
---|
| 2082 | ! |
---|
| 2083 | zdifpyc_s_sc(ji,jj) = MAX( zdifpyc_s_sc(ji,jj), -0.5_wp * zdifpyc_n_sc(ji,jj) ) |
---|
| 2084 | zvispyc_s_sc(ji,jj) = MAX( zvispyc_s_sc(ji,jj), -0.5_wp * zvispyc_n_sc(ji,jj) ) |
---|
| 2085 | |
---|
| 2086 | zbeta_d_sc(ji,jj) = 1.0_wp - ( ( zdifpyc_n_sc(ji,jj) + 1.4_wp * zdifpyc_s_sc(ji,jj) ) / & |
---|
| 2087 | & ( zdifml_sc(ji,jj) + epsln ) )**p2third |
---|
| 2088 | zbeta_v_sc(ji,jj) = 1.0_wp - 2.0_wp * ( zvispyc_n_sc(ji,jj) + zvispyc_s_sc(ji,jj) ) / ( zvisml_sc(ji,jj) + epsln ) |
---|
| 2089 | ELSE |
---|
[14802] | 2090 | zdifpyc_n_sc(ji,jj) = pp_dif_pyc * zvel_sc_ml * pdh(ji,jj) ! ag 19/03 |
---|
[14775] | 2091 | zdifpyc_s_sc(ji,jj) = 0.0_wp ! ag 19/03 |
---|
[14802] | 2092 | zvispyc_n_sc(ji,jj) = pp_vis_pyc * zvel_sc_ml * pdh(ji,jj) ! ag 19/03 |
---|
[14775] | 2093 | zvispyc_s_sc(ji,jj) = 0.0_wp ! ag 19/03 |
---|
[14798] | 2094 | IF(l_coup(ji,jj) ) THEN ! ag 19/03 |
---|
[14775] | 2095 | ! code from SUBROUTINE tke_tke zdftke.F90; uses bottom drag velocity rCdU_bot(ji,jj) = -Cd|ub| |
---|
| 2096 | ! already calculated at T-points in SUBROUTINE zdf_drg from zdfdrg.F90 |
---|
| 2097 | ! Gives friction velocity sqrt bottom drag/rho_0 i.e. u* = SQRT(rCdU_bot*ub) |
---|
| 2098 | ! wet-cell averaging .. |
---|
| 2099 | zmsku = 0.5_wp * ( 2.0_wp - umask(ji-1,jj,mbkt(ji,jj)) * umask(ji,jj,mbkt(ji,jj)) ) |
---|
| 2100 | zmskv = 0.5_wp * ( 2.0_wp - vmask(ji,jj-1,mbkt(ji,jj)) * vmask(ji,jj,mbkt(ji,jj)) ) |
---|
| 2101 | zb_coup(ji,jj) = 0.4_wp * SQRT(-1.0_wp * rCdU_bot(ji,jj) * & |
---|
| 2102 | & SQRT( ( zmsku*( uu(ji,jj,mbkt(ji,jj),Kbb)+uu(ji-1,jj,mbkt(ji,jj),Kbb) ) )**2 & |
---|
| 2103 | & + ( zmskv*( vv(ji,jj,mbkt(ji,jj),Kbb)+vv(ji,jj-1,mbkt(ji,jj),Kbb) ) )**2 ) ) |
---|
| 2104 | |
---|
| 2105 | zz_b = -1.0_wp * gdepw(ji,jj,mbkt(ji,jj)+1,Kmm) ! ag 19/03 |
---|
| 2106 | zc_coup_vis(ji,jj) = -0.5_wp * ( 0.5_wp * zvisml_sc(ji,jj) / phml(ji,jj) - zb_coup(ji,jj) ) / & |
---|
| 2107 | & ( phml(ji,jj) + zz_b ) ! ag 19/03 |
---|
| 2108 | zz_b = -1.0_wp * phml(ji,jj) + gdepw(ji,jj,mbkt(ji,jj)+1,Kmm) ! ag 19/03 |
---|
| 2109 | zbeta_v_sc(ji,jj) = 1.0_wp - 2.0_wp * ( zb_coup(ji,jj) * zz_b + zc_coup_vis(ji,jj) * zz_b**2 ) / & |
---|
| 2110 | & zvisml_sc(ji,jj) ! ag 19/03 |
---|
| 2111 | zbeta_d_sc(ji,jj) = 1.0_wp - ( ( zb_coup(ji,jj) * zz_b + zc_coup_vis(ji,jj) * zz_b**2 ) / & |
---|
| 2112 | & zdifml_sc(ji,jj) )**p2third |
---|
| 2113 | zc_coup_dif(ji,jj) = 0.5_wp * ( -zdifml_sc(ji,jj) / phml(ji,jj) * ( 1.0_wp - zbeta_d_sc(ji,jj) )**1.5_wp + & |
---|
| 2114 | & 1.5_wp * ( zdifml_sc(ji,jj) / phml(ji,jj) ) * zbeta_d_sc(ji,jj) * & |
---|
| 2115 | & SQRT( 1.0_wp - zbeta_d_sc(ji,jj) ) - zb_coup(ji,jj) ) / zz_b ! ag 19/03 |
---|
| 2116 | ELSE ! ag 19/03 |
---|
| 2117 | zbeta_d_sc(ji,jj) = 1.0_wp - ( ( zdifpyc_n_sc(ji,jj) + 1.4_wp * zdifpyc_s_sc(ji,jj) ) / & |
---|
| 2118 | & ( zdifml_sc(ji,jj) + epsln ) )**p2third ! ag 19/03 |
---|
| 2119 | zbeta_v_sc(ji,jj) = 1.0_wp - 2.0_wp * ( zvispyc_n_sc(ji,jj) + zvispyc_s_sc(ji,jj) ) / & |
---|
| 2120 | & ( zvisml_sc(ji,jj) + epsln ) ! ag 19/03 |
---|
| 2121 | ENDIF ! ag 19/03 |
---|
| 2122 | ENDIF ! ag 19/03 |
---|
| 2123 | ELSE |
---|
[14816] | 2124 | zdifml_sc(ji,jj) = svstr(ji,jj) * phbl(ji,jj) * MAX( EXP ( -1.0_wp * ( shol(ji,jj) / 0.6_wp )**2 ), 0.2_wp) |
---|
[14775] | 2125 | zvisml_sc(ji,jj) = zdifml_sc(ji,jj) |
---|
| 2126 | END IF |
---|
| 2127 | END_2D |
---|
| 2128 | ! |
---|
| 2129 | DO_2D( 0, 0, 0, 0 ) |
---|
[14816] | 2130 | IF ( l_conv(ji,jj) ) THEN |
---|
| 2131 | DO jk = 2, nmld(ji,jj) ! Mixed layer diffusivity |
---|
| 2132 | zznd_ml = gdepw(ji,jj,jk,Kmm) / phml(ji,jj) |
---|
| 2133 | pdiffut(ji,jj,jk) = zdifml_sc(ji,jj) * zznd_ml * ( 1.0_wp - zbeta_d_sc(ji,jj) * zznd_ml )**1.5 |
---|
| 2134 | pviscos(ji,jj,jk) = zvisml_sc(ji,jj) * zznd_ml * ( 1.0_wp - zbeta_v_sc(ji,jj) * zznd_ml ) * & |
---|
| 2135 | & ( 1.0_wp - 0.5_wp * zznd_ml**2 ) |
---|
[14775] | 2136 | END DO |
---|
[14816] | 2137 | ! |
---|
| 2138 | ! Coupling to bottom |
---|
| 2139 | ! |
---|
| 2140 | IF ( l_coup(ji,jj) ) THEN ! ag 19/03 |
---|
| 2141 | DO jk = mbkt(ji,jj), nmld(ji,jj), -1 ! ag 19/03 |
---|
| 2142 | zz_b = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - gdepw(ji,jj,mbkt(ji,jj)+1,Kmm) ) ! ag 19/03 |
---|
| 2143 | pviscos(ji,jj,jk) = zb_coup(ji,jj) * zz_b + zc_coup_vis(ji,jj) * zz_b**2 ! ag 19/03 |
---|
| 2144 | pdiffut(ji,jj,jk) = zb_coup(ji,jj) * zz_b + zc_coup_dif(ji,jj) * zz_b**2 ! ag 19/03 |
---|
| 2145 | END DO ! ag 19/03 |
---|
| 2146 | ENDIF ! ag 19/03 |
---|
| 2147 | ! Pycnocline |
---|
| 2148 | IF ( l_pyc(ji,jj) ) THEN |
---|
| 2149 | ! Diffusivity and viscosity profiles in the pycnocline given by |
---|
| 2150 | ! cubic polynomial. Note, if l_pyc TRUE can't be coupled to seabed. |
---|
| 2151 | za_cubic = 0.5_wp |
---|
| 2152 | zb_d_cubic = -1.75_wp * zdifpyc_s_sc(ji,jj) / zdifpyc_n_sc(ji,jj) |
---|
| 2153 | zd_d_cubic = ( pdh(ji,jj) * zdifml_sc(ji,jj) / phml(ji,jj) * SQRT( 1.0_wp - zbeta_d_sc(ji,jj) ) * & |
---|
| 2154 | & ( 2.5_wp * zbeta_d_sc(ji,jj) - 1.0_wp ) - 0.85_wp * zdifpyc_s_sc(ji,jj) ) / & |
---|
| 2155 | & MAX( zdifpyc_n_sc(ji,jj), 1.0e-8_wp ) |
---|
| 2156 | zd_d_cubic = zd_d_cubic - zb_d_cubic - 2.0_wp * ( 1.0_wp - za_cubic - zb_d_cubic ) |
---|
| 2157 | zc_d_cubic = 1.0_wp - za_cubic - zb_d_cubic - zd_d_cubic |
---|
| 2158 | zb_v_cubic = -1.75_wp * zvispyc_s_sc(ji,jj) / zvispyc_n_sc(ji,jj) |
---|
| 2159 | zd_v_cubic = ( 0.5_wp * zvisml_sc(ji,jj) * pdh(ji,jj) / phml(ji,jj) - 0.85_wp * zvispyc_s_sc(ji,jj) ) / & |
---|
| 2160 | & MAX( zvispyc_n_sc(ji,jj), 1.0e-8_wp ) |
---|
| 2161 | zd_v_cubic = zd_v_cubic - zb_v_cubic - 2.0_wp * ( 1.0_wp - za_cubic - zb_v_cubic ) |
---|
| 2162 | zc_v_cubic = 1.0_wp - za_cubic - zb_v_cubic - zd_v_cubic |
---|
| 2163 | DO jk = nmld(ji,jj) , nbld(ji,jj) |
---|
| 2164 | zznd_pyc = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phbl(ji,jj) ) / MAX(pdh(ji,jj), 1.0e-6_wp ) |
---|
| 2165 | ztmp = ( 1.75_wp * zznd_pyc - 0.15_wp * zznd_pyc**2 - 0.2_wp * zznd_pyc**3 ) |
---|
| 2166 | ! |
---|
| 2167 | pdiffut(ji,jj,jk) = zdifpyc_n_sc(ji,jj) * & |
---|
| 2168 | & ( za_cubic + zb_d_cubic * zznd_pyc + zc_d_cubic * zznd_pyc**2 + zd_d_cubic * zznd_pyc**3 ) |
---|
| 2169 | ! |
---|
| 2170 | pdiffut(ji,jj,jk) = pdiffut(ji,jj,jk) + zdifpyc_s_sc(ji,jj) * ztmp |
---|
| 2171 | pviscos(ji,jj,jk) = zvispyc_n_sc(ji,jj) * & |
---|
| 2172 | & ( za_cubic + zb_v_cubic * zznd_pyc + zc_v_cubic * zznd_pyc**2 + zd_v_cubic * zznd_pyc**3 ) |
---|
| 2173 | pviscos(ji,jj,jk) = pviscos(ji,jj,jk) + zvispyc_s_sc(ji,jj) * ztmp |
---|
| 2174 | END DO |
---|
| 2175 | ! IF ( pdhdt(ji,jj) > 0._wp ) THEN |
---|
| 2176 | ! zdiffut(ji,jj,nbld(ji,jj)+1) = MAX( 0.5 * pdhdt(ji,jj) * e3w(ji,jj,nbld(ji,jj)+1,Kmm), 1.0e-6 ) |
---|
| 2177 | ! zviscos(ji,jj,nbld(ji,jj)+1) = MAX( 0.5 * pdhdt(ji,jj) * e3w(ji,jj,nbld(ji,jj)+1,Kmm), 1.0e-6 ) |
---|
| 2178 | ! ELSE |
---|
| 2179 | ! zdiffut(ji,jj,nbld(ji,jj)) = 0._wp |
---|
| 2180 | ! zviscos(ji,jj,nbld(ji,jj)) = 0._wp |
---|
| 2181 | ! ENDIF |
---|
| 2182 | ENDIF |
---|
| 2183 | ELSE |
---|
| 2184 | ! Stable conditions |
---|
| 2185 | DO jk = 2, nbld(ji,jj) |
---|
| 2186 | zznd_ml = gdepw(ji,jj,jk,Kmm) / phbl(ji,jj) |
---|
| 2187 | pdiffut(ji,jj,jk) = 0.75_wp * zdifml_sc(ji,jj) * zznd_ml * ( 1.0_wp - zznd_ml )**1.5_wp |
---|
| 2188 | pviscos(ji,jj,jk) = 0.375_wp * zvisml_sc(ji,jj) * zznd_ml * ( 1.0_wp - zznd_ml ) * ( 1.0_wp - zznd_ml**2 ) |
---|
| 2189 | END DO |
---|
| 2190 | ! |
---|
| 2191 | IF ( pdhdt(ji,jj) > 0.0_wp ) THEN |
---|
| 2192 | pdiffut(ji,jj,nbld(ji,jj)) = MAX( pdhdt(ji,jj), 1.0e-6_wp) * e3w(ji, jj, nbld(ji,jj), Kmm) |
---|
| 2193 | pviscos(ji,jj,nbld(ji,jj)) = pdiffut(ji,jj,nbld(ji,jj)) |
---|
| 2194 | ENDIF |
---|
| 2195 | ENDIF ! End if ( l_conv ) |
---|
[14775] | 2196 | ! |
---|
| 2197 | END_2D |
---|
| 2198 | IF( iom_use("pb_coup") ) CALL iom_put( "pb_coup", tmask(:,:,1) * zb_coup(:,:) ) ! BBL-coupling velocity scale |
---|
| 2199 | IF( ln_timing ) CALL timing_stop('zdf_osm_dv') |
---|
| 2200 | ! |
---|
| 2201 | END SUBROUTINE zdf_osm_diffusivity_viscosity |
---|
| 2202 | |
---|
[14816] | 2203 | SUBROUTINE zdf_osm_fgr_terms( Kmm, kp_ext, phbl, phml, pdh, & |
---|
| 2204 | & pdhdt, pshear, pdtdz_bl_ext, pdsdz_bl_ext, pdbdz_bl_ext, & |
---|
| 2205 | & pdiffut, pviscos ) |
---|
[14316] | 2206 | !!--------------------------------------------------------------------- |
---|
| 2207 | !! *** ROUTINE zdf_osm_fgr_terms *** |
---|
| 2208 | !! |
---|
| 2209 | !! ** Purpose : Compute non-gradient terms in flux-gradient relationship |
---|
| 2210 | !! |
---|
| 2211 | !! ** Method : |
---|
| 2212 | !! |
---|
| 2213 | !!---------------------------------------------------------------------- |
---|
[14816] | 2214 | INTEGER, INTENT(in ) :: Kmm ! Time-level index |
---|
| 2215 | INTEGER, DIMENSION(A2D(0)), INTENT(in ) :: kp_ext ! Offset for external level |
---|
| 2216 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: phbl ! BL depth |
---|
| 2217 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: phml ! ML depth |
---|
| 2218 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdh ! Pycnocline depth |
---|
| 2219 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdhdt ! BL depth tendency |
---|
| 2220 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pshear ! Shear production |
---|
| 2221 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdtdz_bl_ext ! External temperature gradients |
---|
| 2222 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdsdz_bl_ext ! External salinity gradients |
---|
| 2223 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdbdz_bl_ext ! External buoyancy gradients |
---|
| 2224 | REAL(wp), DIMENSION(A2D(0),jpk), INTENT(in ) :: pdiffut ! t-diffusivity |
---|
| 2225 | REAL(wp), DIMENSION(A2D(0),jpk), INTENT(in ) :: pviscos ! Viscosity |
---|
[14316] | 2226 | ! |
---|
[14816] | 2227 | REAL(wp), DIMENSION(A2D(0)) :: zalpha_pyc ! |
---|
| 2228 | REAL(wp), DIMENSION(A2D(0),jpk) :: zdbdz_pyc ! Parametrised gradient of buoyancy in the pycnocline |
---|
[14316] | 2229 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: z3ddz_pyc_1, z3ddz_pyc_2 ! Pycnocline gradient/shear profiles |
---|
| 2230 | ! |
---|
| 2231 | INTEGER :: ji, jj, jk, jkm_bld, jkf_mld, jkm_mld ! Loop indices |
---|
| 2232 | INTEGER :: istat ! Memory allocation status |
---|
| 2233 | REAL(wp) :: zznd_d, zznd_ml, zznd_pyc, znd ! Temporary non-dimensional depths |
---|
| 2234 | REAL(wp), DIMENSION(A2D(0)) :: zsc_wth_1,zsc_ws_1 ! Temporary scales |
---|
| 2235 | REAL(wp), DIMENSION(A2D(0)) :: zsc_uw_1, zsc_uw_2 ! Temporary scales |
---|
| 2236 | REAL(wp), DIMENSION(A2D(0)) :: zsc_vw_1, zsc_vw_2 ! Temporary scales |
---|
| 2237 | REAL(wp), DIMENSION(A2D(0)) :: ztau_sc_u ! Dissipation timescale at base of WML |
---|
| 2238 | REAL(wp) :: zbuoy_pyc_sc, zdelta_pyc ! |
---|
| 2239 | REAL(wp) :: zl_c,zl_l,zl_eps ! Used to calculate turbulence length scale |
---|
| 2240 | REAL(wp), DIMENSION(A2D(0)) :: za_cubic, zb_cubic ! Coefficients in cubic polynomial specifying |
---|
| 2241 | REAL(wp), DIMENSION(A2D(0)) :: zc_cubic, zd_cubic ! diffusivity in pycnocline |
---|
| 2242 | REAL(wp), DIMENSION(A2D(0)) :: zwt_pyc_sc_1, zws_pyc_sc_1 ! |
---|
| 2243 | REAL(wp), DIMENSION(A2D(0)) :: zzeta_pyc ! |
---|
| 2244 | REAL(wp) :: zomega, zvw_max ! |
---|
[14550] | 2245 | REAL(wp), DIMENSION(A2D(0)) :: zuw_bse,zvw_bse ! Momentum, heat, and salinity fluxes |
---|
[14316] | 2246 | REAL(wp), DIMENSION(A2D(0)) :: zwth_ent,zws_ent ! at the top of the pycnocline |
---|
| 2247 | REAL(wp), DIMENSION(A2D(0)) :: zsc_wth_pyc, zsc_ws_pyc ! Scales for pycnocline transport term |
---|
| 2248 | REAL(wp) :: ztmp ! |
---|
| 2249 | REAL(wp) :: ztgrad, zsgrad, zbgrad ! Variables used to calculate pycnocline gradients |
---|
| 2250 | REAL(wp) :: zugrad, zvgrad ! Variables for calculating pycnocline shear |
---|
| 2251 | REAL(wp) :: zdtdz_pyc ! Parametrized gradient of temperature in pycnocline |
---|
| 2252 | REAL(wp) :: zdsdz_pyc ! Parametrised gradient of salinity in pycnocline |
---|
| 2253 | REAL(wp) :: zdudz_pyc ! u-shear across the pycnocline |
---|
| 2254 | REAL(wp) :: zdvdz_pyc ! v-shear across the pycnocline |
---|
| 2255 | !!---------------------------------------------------------------------- |
---|
| 2256 | ! |
---|
| 2257 | IF( ln_timing ) CALL timing_start('zdf_osm_ft') |
---|
| 2258 | ! |
---|
[14816] | 2259 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
| 2260 | ! Pycnocline gradients for scalars and velocity |
---|
| 2261 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
| 2262 | CALL zdf_osm_pycnocline_buoyancy_profiles( Kmm, kp_ext, zdbdz_pyc, zalpha_pyc, pdh, & |
---|
| 2263 | & phbl, pdbdz_bl_ext, phml, pdhdt ) |
---|
| 2264 | ! |
---|
[14316] | 2265 | ! Auxiliary indices |
---|
| 2266 | ! ----------------- |
---|
| 2267 | jkm_bld = 0 |
---|
| 2268 | jkf_mld = jpk |
---|
| 2269 | jkm_mld = 0 |
---|
| 2270 | DO_2D( 0, 0, 0, 0 ) |
---|
[14798] | 2271 | IF ( nbld(ji,jj) > jkm_bld ) jkm_bld = nbld(ji,jj) |
---|
| 2272 | IF ( nmld(ji,jj) < jkf_mld ) jkf_mld = nmld(ji,jj) |
---|
| 2273 | IF ( nmld(ji,jj) > jkm_mld ) jkm_mld = nmld(ji,jj) |
---|
[14316] | 2274 | END_2D |
---|
| 2275 | ! |
---|
| 2276 | ! Stokes term in scalar flux, flux-gradient relationship |
---|
| 2277 | ! ------------------------------------------------------ |
---|
[14798] | 2278 | WHERE ( l_conv(A2D(0)) ) |
---|
[14758] | 2279 | zsc_wth_1(:,:) = swstrl(A2D(0))**3 * swth0(A2D(0)) / ( svstr(A2D(0))**3 + 0.5_wp * swstrc(A2D(0))**3 + epsln ) |
---|
| 2280 | zsc_ws_1(:,:) = swstrl(A2D(0))**3 * sws0(A2D(0)) / ( svstr(A2D(0))**3 + 0.5_wp * swstrc(A2D(0))**3 + epsln ) |
---|
[14316] | 2281 | ELSEWHERE |
---|
[14758] | 2282 | zsc_wth_1(:,:) = 2.0_wp * swthav(A2D(0)) |
---|
| 2283 | zsc_ws_1(:,:) = 2.0_wp * swsav(A2D(0)) |
---|
[14316] | 2284 | ENDWHERE |
---|
| 2285 | DO_3D( 0, 0, 0, 0, 2, MAX( jkm_mld, jkm_bld ) ) |
---|
[14798] | 2286 | IF ( l_conv(ji,jj) ) THEN |
---|
| 2287 | IF ( jk <= nmld(ji,jj) ) THEN |
---|
[14316] | 2288 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
---|
| 2289 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 1.35_wp * EXP( -1.0_wp * zznd_d ) * & |
---|
| 2290 | & ( 1.0_wp - EXP( -2.0_wp * zznd_d ) ) * zsc_wth_1(ji,jj) |
---|
| 2291 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 1.35_wp * EXP( -1.0_wp * zznd_d ) * & |
---|
| 2292 | & ( 1.0_wp - EXP( -2.0_wp * zznd_d ) ) * zsc_ws_1(ji,jj) |
---|
| 2293 | END IF |
---|
| 2294 | ELSE ! Stable conditions |
---|
[14798] | 2295 | IF ( jk <= nbld(ji,jj) ) THEN |
---|
[14316] | 2296 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
---|
[14554] | 2297 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 2.15_wp * EXP( -0.85_wp * zznd_d ) * & |
---|
[14316] | 2298 | & ( 1.0_wp - EXP( -4.0_wp * zznd_d ) ) * zsc_wth_1(ji,jj) |
---|
[14554] | 2299 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 2.15_wp * EXP( -0.85_wp * zznd_d ) * & |
---|
[14316] | 2300 | & ( 1.0_wp - EXP( -4.0_wp * zznd_d ) ) * zsc_ws_1(ji,jj) |
---|
| 2301 | END IF |
---|
[14798] | 2302 | END IF ! Check on l_conv |
---|
[14316] | 2303 | END_3D |
---|
| 2304 | ! |
---|
| 2305 | IF ( ln_dia_osm ) THEN |
---|
| 2306 | IF ( iom_use("ghamu_00") ) CALL iom_put( "ghamu_00", wmask*ghamu ) |
---|
| 2307 | IF ( iom_use("ghamv_00") ) CALL iom_put( "ghamv_00", wmask*ghamv ) |
---|
| 2308 | END IF |
---|
| 2309 | ! |
---|
| 2310 | ! Stokes term in flux-gradient relationship (note in zsc_uw_n don't use |
---|
[14758] | 2311 | ! svstr since term needs to go to zero as swstrl goes to zero) |
---|
[14316] | 2312 | ! --------------------------------------------------------------------- |
---|
[14798] | 2313 | WHERE ( l_conv(A2D(0)) ) |
---|
[14758] | 2314 | zsc_uw_1(:,:) = ( swstrl(A2D(0))**3 + 0.5_wp * swstrc(A2D(0))**3 )**pthird * sustke(A2D(0)) / & |
---|
| 2315 | & MAX( ( 1.0_wp - 1.0_wp * 6.5_wp * sla(A2D(0))**( 8.0_wp / 3.0_wp ) ), 0.2_wp ) |
---|
| 2316 | zsc_uw_2(:,:) = ( swstrl(A2D(0))**3 + 0.5_wp * swstrc(A2D(0))**3 )**pthird * sustke(A2D(0)) / & |
---|
| 2317 | & MIN( sla(A2D(0))**( 8.0_wp / 3.0_wp ) + epsln, 0.12_wp ) |
---|
| 2318 | zsc_vw_1(:,:) = ff_t(A2D(0)) * phml(A2D(0)) * sustke(A2D(0))**3 * MIN( sla(A2D(0))**( 8.0_wp / 3.0_wp ), 0.12_wp ) / & |
---|
| 2319 | & ( ( svstr(A2D(0))**3 + 0.5_wp * swstrc(A2D(0))**3 )**( 2.0_wp / 3.0_wp ) + epsln ) |
---|
[14316] | 2320 | ELSEWHERE |
---|
[14758] | 2321 | zsc_uw_1(:,:) = sustar(A2D(0))**2 |
---|
| 2322 | zsc_vw_1(:,:) = ff_t(A2D(0)) * phbl(A2D(0)) * sustke(A2D(0))**3 * MIN( sla(A2D(0))**( 8.0_wp / 3.0_wp ), 0.12_wp ) / & |
---|
| 2323 | & ( svstr(A2D(0))**2 + epsln ) |
---|
[14316] | 2324 | ENDWHERE |
---|
| 2325 | DO_3D( 0, 0, 0, 0, 2, MAX( jkm_mld, jkm_bld ) ) |
---|
[14798] | 2326 | IF ( l_conv(ji,jj) ) THEN |
---|
| 2327 | IF ( jk <= nmld(ji,jj) ) THEN |
---|
[14316] | 2328 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
---|
| 2329 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + ( -0.05_wp * EXP( -0.4_wp * zznd_d ) * zsc_uw_1(ji,jj) + & |
---|
| 2330 | & 0.00125_wp * EXP( -1.0_wp * zznd_d ) * zsc_uw_2(ji,jj) ) * & |
---|
| 2331 | & ( 1.0_wp - EXP( -2.0_wp * zznd_d ) ) |
---|
| 2332 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) - 0.65_wp * 0.15_wp * EXP( -1.0_wp * zznd_d ) * & |
---|
| 2333 | & ( 1.0_wp - EXP( -2.0_wp * zznd_d ) ) * zsc_vw_1(ji,jj) |
---|
| 2334 | END IF |
---|
| 2335 | ELSE ! Stable conditions |
---|
[14798] | 2336 | IF ( jk <= nbld(ji,jj) ) THEN ! Corrected to nbld |
---|
[14316] | 2337 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
---|
| 2338 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) - 0.75_wp * 1.3_wp * EXP( -0.5_wp * zznd_d ) * & |
---|
| 2339 | & ( 1.0_wp - EXP( -4.0_wp * zznd_d ) ) * zsc_uw_1(ji,jj) |
---|
| 2340 | END IF |
---|
| 2341 | END IF |
---|
| 2342 | END_3D |
---|
| 2343 | ! |
---|
| 2344 | ! Buoyancy term in flux-gradient relationship [note : includes ROI ratio |
---|
| 2345 | ! (X0.3) and pressure (X0.5)] |
---|
| 2346 | ! ---------------------------------------------------------------------- |
---|
[14798] | 2347 | WHERE ( l_conv(A2D(0)) ) |
---|
[14758] | 2348 | zsc_wth_1(:,:) = swbav(A2D(0)) * swth0(A2D(0)) * ( 1.0_wp + EXP( 0.2_wp * shol(A2D(0)) ) ) * phml(A2D(0)) / & |
---|
| 2349 | & ( svstr(A2D(0))**3 + 0.5_wp * swstrc(A2D(0))**3 + epsln ) |
---|
| 2350 | zsc_ws_1(:,:) = swbav(A2D(0)) * sws0(A2D(0)) * ( 1.0_wp + EXP( 0.2_wp * shol(A2D(0)) ) ) * phml(A2D(0)) / & |
---|
| 2351 | & ( svstr(A2D(0))**3 + 0.5_wp * swstrc(A2D(0))**3 + epsln ) |
---|
[14316] | 2352 | ELSEWHERE |
---|
| 2353 | zsc_wth_1(:,:) = 0.0_wp |
---|
| 2354 | zsc_ws_1(:,:) = 0.0_wp |
---|
| 2355 | ENDWHERE |
---|
| 2356 | DO_3D( 0, 0, 0, 0, 2, MAX( jkm_mld, jkm_bld ) ) |
---|
[14798] | 2357 | IF ( l_conv(ji,jj) ) THEN |
---|
| 2358 | IF ( jk <= nmld(ji,jj) ) THEN |
---|
[14316] | 2359 | zznd_ml = gdepw(ji,jj,jk,Kmm) / phml(ji,jj) |
---|
[14554] | 2360 | ! Calculate turbulent time scale |
---|
| 2361 | zl_c = 0.9_wp * ( 1.0_wp - EXP( -5.0_wp * ( zznd_ml + zznd_ml**3 / 3.0_wp ) ) ) * & |
---|
| 2362 | & ( 1.0_wp - EXP( -15.0_wp * ( 1.2_wp - zznd_ml ) ) ) |
---|
| 2363 | zl_l = 2.0_wp * ( 1.0_wp - EXP( -2.0_wp * ( zznd_ml + zznd_ml**3 / 3.0_wp ) ) ) * & |
---|
| 2364 | & ( 1.0_wp - EXP( -8.0_wp * ( 1.15_wp - zznd_ml ) ) ) * ( 1.0_wp + dstokes(ji,jj) / phml (ji,jj) ) |
---|
[14758] | 2365 | zl_eps = zl_l + ( zl_c - zl_l ) / ( 1.0_wp + EXP( -3.0_wp * LOG10( -1.0_wp * shol(ji,jj) ) ) )**( 3.0_wp / 2.0_wp ) |
---|
[14316] | 2366 | ! Non-gradient buoyancy terms |
---|
[14554] | 2367 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.3_wp * 0.4_wp * zsc_wth_1(ji,jj) * zl_eps / ( 0.15_wp + zznd_ml ) |
---|
| 2368 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.3_wp * 0.4_wp * zsc_ws_1(ji,jj) * zl_eps / ( 0.15_wp + zznd_ml ) |
---|
[14316] | 2369 | END IF |
---|
| 2370 | ELSE ! Stable conditions |
---|
[14798] | 2371 | IF ( jk <= nbld(ji,jj) ) THEN |
---|
[14316] | 2372 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + zsc_wth_1(ji,jj) |
---|
| 2373 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + zsc_ws_1(ji,jj) |
---|
| 2374 | END IF |
---|
| 2375 | END IF |
---|
| 2376 | END_3D |
---|
| 2377 | DO_2D( 0, 0, 0, 0 ) |
---|
[14798] | 2378 | IF ( l_conv(ji,jj) .AND. l_pyc(ji,jj) ) THEN |
---|
[14758] | 2379 | ztau_sc_u(ji,jj) = phml(ji,jj) / ( svstr(ji,jj)**3 + swstrc(ji,jj)**3 )**pthird * & |
---|
| 2380 | & ( 1.4_wp - 0.4_wp / ( 1.0_wp + EXP( -3.5_wp * LOG10( -1.0_wp * shol(ji,jj) ) ) )**1.5_wp ) |
---|
| 2381 | zwth_ent(ji,jj) = -0.003_wp * ( 0.15_wp * svstr(ji,jj)**3 + swstrc(ji,jj)**3 )**pthird * & |
---|
[14803] | 2382 | & ( 1.0_wp - pdh(ji,jj) / phbl(ji,jj) ) * av_dt_ml(ji,jj) |
---|
[14758] | 2383 | zws_ent(ji,jj) = -0.003_wp * ( 0.15_wp * svstr(ji,jj)**3 + swstrc(ji,jj)**3 )**pthird * & |
---|
[14803] | 2384 | & ( 1.0_wp - pdh(ji,jj) / phbl(ji,jj) ) * av_ds_ml(ji,jj) |
---|
[14554] | 2385 | IF ( dh(ji,jj) < 0.2_wp * hbl(ji,jj) ) THEN |
---|
[14803] | 2386 | zbuoy_pyc_sc = 2.0_wp * MAX( av_db_ml(ji,jj), 0.0_wp ) / pdh(ji,jj) |
---|
[14758] | 2387 | zdelta_pyc = ( svstr(ji,jj)**3 + swstrc(ji,jj)**3 )**pthird / & |
---|
| 2388 | & SQRT( MAX( zbuoy_pyc_sc, ( svstr(ji,jj)**3 + swstrc(ji,jj)**3 )**p2third / pdh(ji,jj)**2 ) ) |
---|
[14816] | 2389 | zwt_pyc_sc_1(ji,jj) = 0.325_wp * ( zalpha_pyc(ji,jj) * av_dt_ml(ji,jj) / pdh(ji,jj) + pdtdz_bl_ext(ji,jj) ) * & |
---|
[14571] | 2390 | & zdelta_pyc**2 / pdh(ji,jj) |
---|
[14816] | 2391 | zws_pyc_sc_1(ji,jj) = 0.325_wp * ( zalpha_pyc(ji,jj) * av_ds_ml(ji,jj) / pdh(ji,jj) + pdsdz_bl_ext(ji,jj) ) * & |
---|
[14571] | 2392 | & zdelta_pyc**2 / pdh(ji,jj) |
---|
[14758] | 2393 | zzeta_pyc(ji,jj) = 0.15_wp - 0.175_wp / ( 1.0_wp + EXP( -3.5_wp * LOG10( -1.0_wp * shol(ji,jj) ) ) ) |
---|
[14554] | 2394 | END IF |
---|
[14316] | 2395 | END IF |
---|
| 2396 | END_2D |
---|
| 2397 | DO_3D( 0, 0, 0, 0, 2, jkm_bld ) |
---|
[14798] | 2398 | IF ( l_conv(ji,jj) .AND. l_pyc(ji,jj) .AND. ( jk <= nbld(ji,jj) ) ) THEN |
---|
[14316] | 2399 | zznd_pyc = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phbl(ji,jj) ) / pdh(ji,jj) |
---|
| 2400 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) - & |
---|
[14816] | 2401 | & 0.045_wp * ( ( zwth_ent(ji,jj) * zdbdz_pyc(ji,jj,jk) ) * ztau_sc_u(ji,jj)**2 ) * & |
---|
[14316] | 2402 | & MAX( ( 1.75_wp * zznd_pyc -0.15_wp * zznd_pyc**2 - 0.2_wp * zznd_pyc**3 ), 0.0_wp ) |
---|
| 2403 | ghams(ji,jj,jk) = ghams(ji,jj,jk) - & |
---|
[14816] | 2404 | & 0.045_wp * ( ( zws_ent(ji,jj) * zdbdz_pyc(ji,jj,jk) ) * ztau_sc_u(ji,jj)**2 ) * & |
---|
[14316] | 2405 | & MAX( ( 1.75_wp * zznd_pyc -0.15_wp * zznd_pyc**2 - 0.2_wp * zznd_pyc**3 ), 0.0_wp ) |
---|
[14798] | 2406 | IF ( dh(ji,jj) < 0.2_wp * hbl(ji,jj) .AND. nbld(ji,jj) - nmld(ji,jj) > 3 ) THEN |
---|
[14554] | 2407 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.05_wp * zwt_pyc_sc_1(ji,jj) * & |
---|
| 2408 | & EXP( -0.25_wp * ( zznd_pyc / zzeta_pyc(ji,jj) )**2 ) * & |
---|
[14758] | 2409 | & pdh(ji,jj) / ( svstr(ji,jj)**3 + swstrc(ji,jj)**3 )**pthird |
---|
[14554] | 2410 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.05_wp * zws_pyc_sc_1(ji,jj) * & |
---|
| 2411 | & EXP( -0.25_wp * ( zznd_pyc / zzeta_pyc(ji,jj) )**2 ) * & |
---|
[14758] | 2412 | & pdh(ji,jj) / ( svstr(ji,jj)**3 + swstrc(ji,jj)**3 )**pthird |
---|
[14554] | 2413 | END IF |
---|
[14316] | 2414 | END IF ! End of pycnocline |
---|
| 2415 | END_3D |
---|
| 2416 | ! |
---|
[14816] | 2417 | IF ( ln_dia_osm ) THEN |
---|
[14316] | 2418 | IF ( iom_use("zwth_ent") ) CALL iom_put( "zwth_ent", tmask(:,:,1)*zwth_ent ) ! Upward turb. temperature entrainment flux |
---|
| 2419 | IF ( iom_use("zws_ent") ) CALL iom_put( "zws_ent", tmask(:,:,1)*zws_ent ) ! Upward turb. salinity entrainment flux |
---|
| 2420 | END IF |
---|
| 2421 | ! |
---|
| 2422 | zsc_vw_1(:,:) = 0.0_wp |
---|
[14798] | 2423 | WHERE ( l_conv(A2D(0)) ) |
---|
[14758] | 2424 | zsc_uw_1(:,:) = -1.0_wp * swb0(A2D(0)) * sustar(A2D(0))**2 * phml(A2D(0)) / & |
---|
| 2425 | & ( svstr(A2D(0))**3 + 0.5_wp * swstrc(A2D(0))**3 + epsln ) |
---|
| 2426 | zsc_uw_2(:,:) = swb0(A2D(0)) * sustke(A2D(0)) * phml(A2D(0)) / & |
---|
| 2427 | & ( svstr(A2D(0))**3 + 0.5_wp * swstrc(A2D(0))**3 + epsln )**( 2.0_wp / 3.0_wp ) |
---|
[14316] | 2428 | ELSEWHERE |
---|
| 2429 | zsc_uw_1(:,:) = 0.0_wp |
---|
| 2430 | ENDWHERE |
---|
| 2431 | DO_3D( 0, 0, 0, 0, 2, MAX( jkm_mld, jkm_bld ) ) |
---|
[14798] | 2432 | IF ( l_conv(ji,jj) ) THEN |
---|
| 2433 | IF ( jk <= nmld(ji,jj) ) THEN |
---|
[14316] | 2434 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
---|
| 2435 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + 0.3_wp * 0.5_wp * & |
---|
| 2436 | & ( zsc_uw_1(ji,jj) + 0.125_wp * EXP( -0.5_wp * zznd_d ) * & |
---|
| 2437 | & ( 1.0_wp - EXP( -0.5_wp * zznd_d ) ) * zsc_uw_2(ji,jj) ) |
---|
| 2438 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zsc_vw_1(ji,jj) |
---|
| 2439 | END IF |
---|
| 2440 | ELSE ! Stable conditions |
---|
[14798] | 2441 | IF ( jk <= nbld(ji,jj) ) THEN |
---|
[14316] | 2442 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + zsc_uw_1(ji,jj) |
---|
| 2443 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zsc_vw_1(ji,jj) |
---|
| 2444 | END IF |
---|
| 2445 | ENDIF |
---|
| 2446 | END_3D |
---|
| 2447 | ! |
---|
| 2448 | DO_2D( 0, 0, 0, 0 ) |
---|
[14798] | 2449 | IF ( l_conv(ji,jj) .AND. l_pyc(ji,jj) ) THEN |
---|
| 2450 | IF ( n_ddh(ji,jj) == 0 ) THEN |
---|
[14316] | 2451 | ! Place holding code. Parametrization needs checking for these conditions. |
---|
[14758] | 2452 | zomega = ( 0.15_wp * swstrl(ji,jj)**3 + swstrc(ji,jj)**3 + 4.75_wp * ( pshear(ji,jj) * phbl(ji,jj) ) )**pthird |
---|
[14803] | 2453 | zuw_bse(ji,jj) = -0.0035_wp * zomega * ( 1.0_wp - pdh(ji,jj) / phbl(ji,jj) ) * av_du_ml(ji,jj) |
---|
| 2454 | zvw_bse(ji,jj) = -0.0075_wp * zomega * ( 1.0_wp - pdh(ji,jj) / phbl(ji,jj) ) * av_dv_ml(ji,jj) |
---|
[14316] | 2455 | ELSE |
---|
[14758] | 2456 | zomega = ( 0.15_wp * swstrl(ji,jj)**3 + swstrc(ji,jj)**3 + 4.75_wp * ( pshear(ji,jj) * phbl(ji,jj) ) )**pthird |
---|
[14803] | 2457 | zuw_bse(ji,jj) = -0.0035_wp * zomega * ( 1.0_wp - pdh(ji,jj) / phbl(ji,jj) ) * av_du_ml(ji,jj) |
---|
| 2458 | zvw_bse(ji,jj) = -0.0075_wp * zomega * ( 1.0_wp - pdh(ji,jj) / phbl(ji,jj) ) * av_dv_ml(ji,jj) |
---|
[14316] | 2459 | ENDIF |
---|
[14758] | 2460 | zb_cubic(ji,jj) = pdh(ji,jj) / phbl(ji,jj) * suw0(ji,jj) - ( 2.0 + pdh(ji,jj) / phml(ji,jj) ) * zuw_bse(ji,jj) |
---|
[14550] | 2461 | za_cubic(ji,jj) = zuw_bse(ji,jj) - zb_cubic(ji,jj) |
---|
[14758] | 2462 | zvw_max = 0.7_wp * ff_t(ji,jj) * ( sustke(ji,jj) * dstokes(ji,jj) + 0.7_wp * sustar(ji,jj) * phml(ji,jj) ) |
---|
[14550] | 2463 | zd_cubic(ji,jj) = zvw_max * pdh(ji,jj) / phml(ji,jj) - ( 2.0_wp + pdh(ji,jj) / phml(ji,jj) ) * zvw_bse(ji,jj) |
---|
| 2464 | zc_cubic(ji,jj) = zvw_bse(ji,jj) - zd_cubic(ji,jj) |
---|
[14316] | 2465 | END IF |
---|
| 2466 | END_2D |
---|
| 2467 | DO_3D( 0, 0, 0, 0, jkf_mld, jkm_bld ) ! Need ztau_sc_u to be available. Change to array. |
---|
[14798] | 2468 | IF ( l_conv(ji,jj) .AND. l_pyc(ji,jj) .AND. ( jk >= nmld(ji,jj) ) .AND. ( jk <= nbld(ji,jj) ) ) THEN |
---|
[14316] | 2469 | zznd_pyc = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phbl(ji,jj) ) / pdh(ji,jj) |
---|
[14550] | 2470 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) - 0.045_wp * ( ztau_sc_u(ji,jj)**2 ) * zuw_bse(ji,jj) * & |
---|
[14316] | 2471 | & ( za_cubic(ji,jj) * zznd_pyc**2 + zb_cubic(ji,jj) * zznd_pyc**3 ) * & |
---|
[14816] | 2472 | & ( 0.75_wp + 0.25_wp * zznd_pyc )**2 * zdbdz_pyc(ji,jj,jk) |
---|
[14550] | 2473 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) - 0.045_wp * ( ztau_sc_u(ji,jj)**2 ) * zvw_bse(ji,jj) * & |
---|
[14316] | 2474 | & ( zc_cubic(ji,jj) * zznd_pyc**2 + zd_cubic(ji,jj) * zznd_pyc**3 ) * & |
---|
[14816] | 2475 | & ( 0.75_wp + 0.25_wp * zznd_pyc )**2 * zdbdz_pyc(ji,jj,jk) |
---|
[14798] | 2476 | END IF ! l_conv .AND. l_pyc |
---|
[14316] | 2477 | END_3D |
---|
| 2478 | ! |
---|
[14816] | 2479 | IF ( ln_dia_osm ) THEN |
---|
[14316] | 2480 | IF ( iom_use("ghamu_0") ) CALL iom_put( "ghamu_0", wmask*ghamu ) |
---|
| 2481 | IF ( iom_use("zsc_uw_1_0") ) CALL iom_put( "zsc_uw_1_0", tmask(:,:,1)*zsc_uw_1 ) |
---|
| 2482 | END IF |
---|
| 2483 | ! |
---|
| 2484 | ! Transport term in flux-gradient relationship [note : includes ROI ratio |
---|
| 2485 | ! (X0.3) ] |
---|
| 2486 | ! ----------------------------------------------------------------------- |
---|
[14798] | 2487 | WHERE ( l_conv(A2D(0)) ) |
---|
[14758] | 2488 | zsc_wth_1(:,:) = swth0(A2D(0)) / ( 1.0_wp - 0.56_wp * EXP( shol(A2D(0)) ) ) |
---|
| 2489 | zsc_ws_1(:,:) = sws0(A2D(0)) / ( 1.0_wp - 0.56_wp * EXP( shol(A2D(0)) ) ) |
---|
[14798] | 2490 | WHERE ( l_pyc(A2D(0)) ) ! Pycnocline scales |
---|
[14803] | 2491 | zsc_wth_pyc(:,:) = -0.003_wp * swstrc(A2D(0)) * ( 1.0_wp - pdh(A2D(0)) / phbl(A2D(0)) ) * av_dt_ml(A2D(0)) |
---|
| 2492 | zsc_ws_pyc(:,:) = -0.003_wp * swstrc(A2D(0)) * ( 1.0_wp - pdh(A2D(0)) / phbl(A2D(0)) ) * av_ds_ml(A2D(0)) |
---|
[14316] | 2493 | END WHERE |
---|
| 2494 | ELSEWHERE |
---|
[14758] | 2495 | zsc_wth_1(:,:) = 2.0 * swthav(A2D(0)) |
---|
| 2496 | zsc_ws_1(:,:) = sws0(A2D(0)) |
---|
[14316] | 2497 | END WHERE |
---|
| 2498 | DO_3D( 0, 0, 0, 0, 1, MAX( jkm_mld, jkm_bld ) ) |
---|
[14798] | 2499 | IF ( l_conv(ji,jj) ) THEN |
---|
| 2500 | IF ( ( jk > 1 ) .AND. ( jk <= nmld(ji,jj) ) ) THEN |
---|
[14316] | 2501 | zznd_ml = gdepw(ji,jj,jk,Kmm) / phml(ji,jj) |
---|
| 2502 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.3_wp * zsc_wth_1(ji,jj) * ( -2.0_wp + 2.75_wp * ( ( 1.0_wp + 0.6_wp * zznd_ml**4 ) - EXP( -6.0_wp * zznd_ml ) ) ) * & |
---|
| 2503 | & ( 1.0_wp - EXP( -15.0_wp * ( 1.0_wp - zznd_ml ) ) ) |
---|
| 2504 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.3_wp * zsc_ws_1(ji,jj) * ( -2.0_wp + 2.75_wp * ( ( 1.0_wp + 0.6_wp * zznd_ml**4 ) - EXP( -6.0_wp * zznd_ml ) ) ) * & |
---|
| 2505 | & ( 1.0_wp - EXP( -15.0_wp * ( 1.0_wp - zznd_ml ) ) ) |
---|
| 2506 | END IF |
---|
[14551] | 2507 | ! |
---|
| 2508 | ! may need to comment out lpyc block |
---|
[14798] | 2509 | IF ( l_pyc(ji,jj) .AND. ( jk >= nmld(ji,jj) ) .AND. ( jk <= nbld(ji,jj) ) ) THEN ! Pycnocline |
---|
[14316] | 2510 | zznd_pyc = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phbl(ji,jj) ) / pdh(ji,jj) |
---|
| 2511 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 4.0_wp * zsc_wth_pyc(ji,jj) * ( 0.48_wp - EXP( -1.5_wp * ( zznd_pyc - 0.3_wp )**2 ) ) |
---|
| 2512 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 4.0_wp * zsc_ws_pyc(ji,jj) * ( 0.48_wp - EXP( -1.5_wp * ( zznd_pyc - 0.3_wp )**2 ) ) |
---|
| 2513 | END IF |
---|
| 2514 | ELSE |
---|
| 2515 | IF( pdhdt(ji,jj) > 0. ) THEN |
---|
[14798] | 2516 | IF ( ( jk > 1 ) .AND. ( jk <= nbld(ji,jj) ) ) THEN |
---|
[14316] | 2517 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
---|
| 2518 | znd = gdepw(ji,jj,jk,Kmm) / phbl(ji,jj) |
---|
| 2519 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.3_wp * ( -4.06_wp * EXP( -2.0_wp * zznd_d ) * ( 1.0_wp - EXP( -4.0_wp * zznd_d ) ) + & |
---|
[14571] | 2520 | 7.5_wp * EXP ( -10.0_wp * ( 0.95_wp - znd )**2 ) * ( 1.0_wp - znd ) ) * zsc_wth_1(ji,jj) |
---|
[14316] | 2521 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.3_wp * ( -4.06_wp * EXP( -2.0_wp * zznd_d ) * ( 1.0_wp - EXP( -4.0_wp * zznd_d ) ) + & |
---|
[14571] | 2522 | 7.5_wp * EXP ( -10.0_wp * ( 0.95_wp - znd )**2 ) * ( 1.0_wp - znd ) ) * zsc_ws_1(ji,jj) |
---|
[14316] | 2523 | END IF |
---|
| 2524 | ENDIF |
---|
| 2525 | ENDIF |
---|
| 2526 | END_3D |
---|
| 2527 | ! |
---|
[14798] | 2528 | WHERE ( l_conv(A2D(0)) ) |
---|
[14758] | 2529 | zsc_uw_1(:,:) = sustar(A2D(0))**2 |
---|
| 2530 | zsc_vw_1(:,:) = ff_t(A2D(0)) * sustke(A2D(0)) * phml(A2D(0)) |
---|
[14316] | 2531 | ELSEWHERE |
---|
[14758] | 2532 | zsc_uw_1(:,:) = sustar(A2D(0))**2 |
---|
[14316] | 2533 | zsc_uw_2(:,:) = ( 2.25_wp - 3.0_wp * ( 1.0_wp - EXP( -1.25_wp * 2.0_wp ) ) ) * ( 1.0_wp - EXP( -4.0_wp * 2.0_wp ) ) * & |
---|
| 2534 | & zsc_uw_1(:,:) |
---|
[14758] | 2535 | zsc_vw_1(:,:) = ff_t(A2D(0)) * sustke(A2D(0)) * phbl(A2D(0)) |
---|
[14316] | 2536 | zsc_vw_2(:,:) = -0.11_wp * SIN( 3.14159_wp * ( 2.0_wp + 0.4_wp ) ) * EXP( -1.0_wp * ( 1.5_wp + 2.0_wp )**2 ) * & |
---|
| 2537 | & zsc_vw_1(:,:) |
---|
| 2538 | ENDWHERE |
---|
| 2539 | DO_3D( 0, 0, 0, 0, 2, MAX( jkm_mld, jkm_bld ) ) |
---|
[14798] | 2540 | IF ( l_conv(ji,jj) ) THEN |
---|
| 2541 | IF ( jk <= nmld(ji,jj) ) THEN |
---|
[14316] | 2542 | zznd_ml = gdepw(ji,jj,jk,Kmm) / phml(ji,jj) |
---|
| 2543 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
---|
| 2544 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + & |
---|
| 2545 | & 0.3_wp * ( -2.0_wp + 2.5_wp * ( 1.0_wp + 0.1_wp * zznd_ml**4 ) - EXP( -8.0_wp * zznd_ml ) ) * & |
---|
| 2546 | & zsc_uw_1(ji,jj) |
---|
| 2547 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + & |
---|
| 2548 | & 0.3_wp * 0.1_wp * ( EXP( -1.0_wp * zznd_d ) + EXP( -5.0_wp * ( 1.0_wp - zznd_ml ) ) ) * & |
---|
| 2549 | & zsc_vw_1(ji,jj) |
---|
| 2550 | END IF |
---|
| 2551 | ELSE |
---|
[14798] | 2552 | IF ( jk <= nbld(ji,jj) ) THEN |
---|
[14316] | 2553 | znd = gdepw(ji,jj,jk,Kmm) / phbl(ji,jj) |
---|
| 2554 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
---|
| 2555 | IF ( zznd_d <= 2.0 ) THEN |
---|
| 2556 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + 0.5_wp * 0.3_wp * & |
---|
| 2557 | & ( 2.25_wp - 3.0_wp * ( 1.0_wp - EXP( -1.25_wp * zznd_d ) ) * & |
---|
| 2558 | & ( 1.0_wp - EXP( -2.0_wp * zznd_d ) ) ) * zsc_uw_1(ji,jj) |
---|
| 2559 | ELSE |
---|
| 2560 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + 0.5_wp * 0.3_wp * & |
---|
| 2561 | & ( 1.0_wp - EXP( -5.0_wp * ( 1.0_wp - znd ) ) ) * zsc_uw_2(ji,jj) |
---|
| 2562 | ENDIF |
---|
| 2563 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + 0.3_wp * 0.15_wp * SIN( 3.14159_wp * ( 0.65_wp * zznd_d ) ) * & |
---|
| 2564 | & EXP( -0.25_wp * zznd_d**2 ) * zsc_vw_1(ji,jj) |
---|
| 2565 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + 0.3_wp * 0.15_wp * EXP( -5.0 * ( 1.0 - znd ) ) * ( 1.0 - EXP( -20.0 * ( 1.0 - znd ) ) ) * zsc_vw_2(ji,jj) |
---|
| 2566 | END IF |
---|
| 2567 | END IF |
---|
| 2568 | END_3D |
---|
| 2569 | ! |
---|
[14816] | 2570 | IF ( ln_dia_osm ) THEN |
---|
[14316] | 2571 | IF ( iom_use("ghamu_f") ) CALL iom_put( "ghamu_f", wmask *ghamu ) |
---|
| 2572 | IF ( iom_use("ghamv_f") ) CALL iom_put( "ghamv_f", wmask *ghamv ) |
---|
| 2573 | IF ( iom_use("zsc_uw_1_f") ) CALL iom_put( "zsc_uw_1_f", tmask(:,:,1)*zsc_uw_1 ) |
---|
| 2574 | IF ( iom_use("zsc_vw_1_f") ) CALL iom_put( "zsc_vw_1_f", tmask(:,:,1)*zsc_vw_1 ) |
---|
| 2575 | IF ( iom_use("zsc_uw_2_f") ) CALL iom_put( "zsc_uw_2_f", tmask(:,:,1)*zsc_uw_2 ) |
---|
| 2576 | IF ( iom_use("zsc_vw_2_f") ) CALL iom_put( "zsc_vw_2_f", tmask(:,:,1)*zsc_vw_2 ) |
---|
| 2577 | END IF |
---|
| 2578 | ! |
---|
| 2579 | ! Make surface forced velocity non-gradient terms go to zero at the base |
---|
| 2580 | ! of the mixed layer. |
---|
| 2581 | ! |
---|
| 2582 | ! Make surface forced velocity non-gradient terms go to zero at the base |
---|
| 2583 | ! of the boundary layer. |
---|
| 2584 | DO_3D( 0, 0, 0, 0, 2, jkm_bld ) |
---|
[14798] | 2585 | IF ( ( .NOT. l_conv(ji,jj) ) .AND. ( jk <= nbld(ji,jj) ) ) THEN |
---|
[14550] | 2586 | znd = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phbl(ji,jj) ) / phbl(ji,jj) ! ALMG to think about |
---|
[14316] | 2587 | IF ( znd >= 0.0_wp ) THEN |
---|
| 2588 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) * ( 1.0_wp - EXP( -10.0_wp * znd**2 ) ) |
---|
| 2589 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) * ( 1.0_wp - EXP( -10.0_wp * znd**2 ) ) |
---|
| 2590 | ELSE |
---|
| 2591 | ghamu(ji,jj,jk) = 0.0_wp |
---|
| 2592 | ghamv(ji,jj,jk) = 0.0_wp |
---|
| 2593 | ENDIF |
---|
| 2594 | END IF |
---|
| 2595 | END_3D |
---|
| 2596 | ! |
---|
| 2597 | ! Pynocline contributions |
---|
| 2598 | ! |
---|
| 2599 | IF ( ln_dia_pyc_scl .OR. ln_dia_pyc_shr ) THEN ! Allocate arrays for output of pycnocline gradient/shear profiles |
---|
| 2600 | ALLOCATE( z3ddz_pyc_1(jpi,jpj,jpk), z3ddz_pyc_2(jpi,jpj,jpk), STAT=istat ) |
---|
| 2601 | IF ( istat /= 0 ) CALL ctl_stop( 'zdf_osm: failed to allocate temporary arrays' ) |
---|
| 2602 | z3ddz_pyc_1(:,:,:) = 0.0_wp |
---|
| 2603 | z3ddz_pyc_2(:,:,:) = 0.0_wp |
---|
| 2604 | END IF |
---|
| 2605 | DO_3D( 0, 0, 0, 0, 2, jkm_bld ) |
---|
[14798] | 2606 | IF ( l_conv (ji,jj) ) THEN |
---|
[14316] | 2607 | ! Unstable conditions. Shouldn;t be needed with no pycnocline code. |
---|
[14803] | 2608 | ! zugrad = 0.7 * av_du_ml(ji,jj) / zdh(ji,jj) + 0.3 * zustar(ji,jj)*zustar(ji,jj) / & |
---|
[14316] | 2609 | ! & ( ( ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird * zhml(ji,jj) ) * & |
---|
| 2610 | ! & MIN(zla(ji,jj)**(8.0/3.0) + epsln, 0.12 )) |
---|
| 2611 | !Alan is this right? |
---|
[14803] | 2612 | ! zvgrad = ( 0.7 * av_dv_ml(ji,jj) + & |
---|
[14316] | 2613 | ! & 2.0 * ff_t(ji,jj) * zustke(ji,jj) * dstokes(ji,jj) / & |
---|
| 2614 | ! & ( ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird + epsln ) & |
---|
| 2615 | ! & )/ (zdh(ji,jj) + epsln ) |
---|
[14798] | 2616 | ! DO jk = 2, nbld(ji,jj) - 1 + ibld_ext |
---|
[14316] | 2617 | ! znd = -( gdepw(ji,jj,jk,Kmm) - zhbl(ji,jj) ) / (zdh(ji,jj) + epsln ) - zzeta_v |
---|
| 2618 | ! IF ( znd <= 0.0 ) THEN |
---|
| 2619 | ! zdudz(ji,jj,jk) = 1.25 * zugrad * EXP( 3.0 * znd ) |
---|
| 2620 | ! zdvdz(ji,jj,jk) = 1.25 * zvgrad * EXP( 3.0 * znd ) |
---|
| 2621 | ! ELSE |
---|
| 2622 | ! zdudz(ji,jj,jk) = 1.25 * zugrad * EXP( -2.0 * znd ) |
---|
| 2623 | ! zdvdz(ji,jj,jk) = 1.25 * zvgrad * EXP( -2.0 * znd ) |
---|
| 2624 | ! ENDIF |
---|
| 2625 | ! END DO |
---|
| 2626 | ELSE ! Stable conditions |
---|
[14798] | 2627 | IF ( nbld(ji,jj) + kp_ext(ji,jj) < mbkt(ji,jj) ) THEN |
---|
[14316] | 2628 | ! Pycnocline profile only defined when depth steady of increasing. |
---|
| 2629 | IF ( pdhdt(ji,jj) > 0.0_wp ) THEN ! Depth increasing, or steady. |
---|
[14803] | 2630 | IF ( av_db_bl(ji,jj) > 0.0_wp ) THEN |
---|
[14758] | 2631 | IF ( shol(ji,jj) >= 0.5_wp ) THEN ! Very stable - 'thick' pycnocline |
---|
[14316] | 2632 | ztmp = 1.0_wp / MAX( phbl(ji,jj), epsln ) |
---|
[14803] | 2633 | ztgrad = av_dt_bl(ji,jj) * ztmp |
---|
| 2634 | zsgrad = av_ds_bl(ji,jj) * ztmp |
---|
| 2635 | zbgrad = av_db_bl(ji,jj) * ztmp |
---|
[14798] | 2636 | IF ( jk <= nbld(ji,jj) ) THEN |
---|
[14316] | 2637 | znd = gdepw(ji,jj,jk,Kmm) * ztmp |
---|
| 2638 | zdtdz_pyc = ztgrad * EXP( -15.0_wp * ( znd - 0.9_wp )**2 ) |
---|
| 2639 | zdsdz_pyc = zsgrad * EXP( -15.0_wp * ( znd - 0.9_wp )**2 ) |
---|
| 2640 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + pdiffut(ji,jj,jk) * zdtdz_pyc |
---|
| 2641 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + pdiffut(ji,jj,jk) * zdsdz_pyc |
---|
| 2642 | IF ( ln_dia_pyc_scl ) THEN |
---|
| 2643 | z3ddz_pyc_1(ji,jj,jk) = zdtdz_pyc |
---|
| 2644 | z3ddz_pyc_2(ji,jj,jk) = zdsdz_pyc |
---|
| 2645 | END IF |
---|
| 2646 | END IF |
---|
| 2647 | ELSE ! Slightly stable - 'thin' pycnoline - needed when stable layer begins to form. |
---|
| 2648 | ztmp = 1.0_wp / MAX( pdh(ji,jj), epsln ) |
---|
[14803] | 2649 | ztgrad = av_dt_bl(ji,jj) * ztmp |
---|
| 2650 | zsgrad = av_ds_bl(ji,jj) * ztmp |
---|
| 2651 | zbgrad = av_db_bl(ji,jj) * ztmp |
---|
[14798] | 2652 | IF ( jk <= nbld(ji,jj) ) THEN |
---|
[14316] | 2653 | znd = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phml(ji,jj) ) * ztmp |
---|
| 2654 | zdtdz_pyc = ztgrad * EXP( -1.75_wp * ( znd + 0.75_wp )**2 ) |
---|
| 2655 | zdsdz_pyc = zsgrad * EXP( -1.75_wp * ( znd + 0.75_wp )**2 ) |
---|
| 2656 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + pdiffut(ji,jj,jk) * zdtdz_pyc |
---|
| 2657 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + pdiffut(ji,jj,jk) * zdsdz_pyc |
---|
| 2658 | IF ( ln_dia_pyc_scl ) THEN |
---|
| 2659 | z3ddz_pyc_1(ji,jj,jk) = zdtdz_pyc |
---|
| 2660 | z3ddz_pyc_2(ji,jj,jk) = zdsdz_pyc |
---|
| 2661 | END IF |
---|
| 2662 | END IF |
---|
[14758] | 2663 | ENDIF ! IF (shol >=0.5) |
---|
[14803] | 2664 | ENDIF ! IF (av_db_bl> 0.) |
---|
[14316] | 2665 | ENDIF ! IF (zdhdt >= 0) zdhdt < 0 not considered since pycnocline profile is zero and profile arrays are intialized to zero |
---|
| 2666 | END IF |
---|
| 2667 | END IF |
---|
| 2668 | END_3D |
---|
| 2669 | IF ( ln_dia_pyc_scl ) THEN ! Output of pycnocline gradient profiles |
---|
| 2670 | IF ( iom_use("zdtdz_pyc") ) CALL iom_put( "zdtdz_pyc", wmask(:,:,:) * z3ddz_pyc_1(:,:,:) ) |
---|
| 2671 | IF ( iom_use("zdsdz_pyc") ) CALL iom_put( "zdsdz_pyc", wmask(:,:,:) * z3ddz_pyc_2(:,:,:) ) |
---|
| 2672 | END IF |
---|
| 2673 | DO_3D( 0, 0, 0, 0, 2, jkm_bld ) |
---|
[14798] | 2674 | IF ( .NOT. l_conv (ji,jj) ) THEN |
---|
| 2675 | IF ( nbld(ji,jj) + kp_ext(ji,jj) < mbkt(ji,jj) ) THEN |
---|
[14803] | 2676 | zugrad = 3.25_wp * av_du_bl(ji,jj) / phbl(ji,jj) |
---|
| 2677 | zvgrad = 2.75_wp * av_dv_bl(ji,jj) / phbl(ji,jj) |
---|
[14798] | 2678 | IF ( jk <= nbld(ji,jj) ) THEN |
---|
[14316] | 2679 | znd = gdepw(ji,jj,jk,Kmm) / phbl(ji,jj) |
---|
| 2680 | IF ( znd < 1.0 ) THEN |
---|
| 2681 | zdudz_pyc = zugrad * EXP( -40.0_wp * ( znd - 1.0_wp )**2 ) |
---|
| 2682 | ELSE |
---|
| 2683 | zdudz_pyc = zugrad * EXP( -20.0_wp * ( znd - 1.0_wp )**2 ) |
---|
| 2684 | ENDIF |
---|
| 2685 | zdvdz_pyc = zvgrad * EXP( -20.0_wp * ( znd - 0.85_wp )**2 ) |
---|
| 2686 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + pviscos(ji,jj,jk) * zdudz_pyc |
---|
| 2687 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + pviscos(ji,jj,jk) * zdvdz_pyc |
---|
| 2688 | IF ( ln_dia_pyc_shr ) THEN |
---|
| 2689 | z3ddz_pyc_1(ji,jj,jk) = zdudz_pyc |
---|
| 2690 | z3ddz_pyc_2(ji,jj,jk) = zdvdz_pyc |
---|
| 2691 | END IF |
---|
| 2692 | END IF |
---|
| 2693 | END IF |
---|
| 2694 | END IF |
---|
| 2695 | END_3D |
---|
| 2696 | IF ( ln_dia_pyc_shr ) THEN ! Output of pycnocline shear profiles |
---|
| 2697 | IF ( iom_use("dudz_pyc") ) CALL iom_put( "zdudz_pyc", wmask(:,:,:) * z3ddz_pyc_1(:,:,:) ) |
---|
| 2698 | IF ( iom_use("dvdz_pyc") ) CALL iom_put( "zdvdz_pyc", wmask(:,:,:) * z3ddz_pyc_2(:,:,:) ) |
---|
| 2699 | END IF |
---|
[14816] | 2700 | IF ( ln_dia_osm ) THEN |
---|
[14316] | 2701 | IF ( iom_use("ghamu_b") ) CALL iom_put( "ghamu_b", wmask*ghamu ) |
---|
| 2702 | IF ( iom_use("ghamv_b") ) CALL iom_put( "ghamv_b", wmask*ghamv ) |
---|
| 2703 | END IF |
---|
| 2704 | IF ( ln_dia_pyc_scl .OR. ln_dia_pyc_shr ) THEN ! Deallocate arrays used for output of pycnocline gradient/shear profiles |
---|
| 2705 | DEALLOCATE( z3ddz_pyc_1, z3ddz_pyc_2 ) |
---|
| 2706 | END IF |
---|
| 2707 | ! |
---|
| 2708 | DO_2D( 0, 0, 0, 0 ) |
---|
[14798] | 2709 | ghamt(ji,jj,nbld(ji,jj)) = 0.0_wp |
---|
| 2710 | ghams(ji,jj,nbld(ji,jj)) = 0.0_wp |
---|
| 2711 | ghamu(ji,jj,nbld(ji,jj)) = 0.0_wp |
---|
| 2712 | ghamv(ji,jj,nbld(ji,jj)) = 0.0_wp |
---|
[14316] | 2713 | END_2D |
---|
| 2714 | ! |
---|
[14816] | 2715 | IF ( ln_dia_osm ) THEN |
---|
| 2716 | IF ( iom_use("ghamu_1") ) CALL iom_put( "ghamu_1", wmask*ghamu ) |
---|
| 2717 | IF ( iom_use("ghamv_1") ) CALL iom_put( "ghamv_1", wmask*ghamv ) |
---|
| 2718 | IF ( iom_use("zviscos") ) THEN |
---|
| 2719 | osmdia3d(A2D(0),:) = wmask(A2D(0),:) * pviscos; CALL iom_put( "zviscos", osmdia3d ) |
---|
| 2720 | END IF |
---|
[14316] | 2721 | END IF |
---|
| 2722 | ! |
---|
| 2723 | IF( ln_timing ) CALL timing_stop('zdf_osm_ft') |
---|
| 2724 | ! |
---|
| 2725 | END SUBROUTINE zdf_osm_fgr_terms |
---|
| 2726 | |
---|
[14802] | 2727 | SUBROUTINE zdf_osm_zmld_horizontal_gradients( Kmm, pmld, pdtdx, pdtdy, pdsdx, & |
---|
[14798] | 2728 | & pdsdy, pdbdx_mle, pdbdy_mle, pdbds_mle ) |
---|
[14785] | 2729 | !!---------------------------------------------------------------------- |
---|
| 2730 | !! *** ROUTINE zdf_osm_zmld_horizontal_gradients *** |
---|
| 2731 | !! |
---|
| 2732 | !! ** Purpose : Calculates horizontal gradients of buoyancy for use with |
---|
| 2733 | !! Fox-Kemper parametrization |
---|
| 2734 | !! |
---|
| 2735 | !! ** Method : |
---|
| 2736 | !! |
---|
| 2737 | !! References: Fox-Kemper et al., JPO, 38, 1145-1165, 2008 |
---|
| 2738 | !! Fox-Kemper and Ferrari, JPO, 38, 1166-1179, 2008 |
---|
| 2739 | !! |
---|
| 2740 | !!---------------------------------------------------------------------- |
---|
[14816] | 2741 | INTEGER, INTENT(in ) :: Kmm ! Time-level index |
---|
| 2742 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pmld ! == Estimated FK BLD used for MLE horizontal gradients == ! |
---|
| 2743 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: pdtdx ! Horizontal gradient for Fox-Kemper parametrization |
---|
| 2744 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: pdtdy ! Horizontal gradient for Fox-Kemper parametrization |
---|
| 2745 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: pdsdx ! Horizontal gradient for Fox-Kemper parametrization |
---|
| 2746 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: pdsdy ! Horizontal gradient for Fox-Kemper parametrization |
---|
| 2747 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: pdbdx_mle ! MLE horiz gradients at u points |
---|
| 2748 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: pdbdy_mle ! MLE horiz gradients at v points |
---|
| 2749 | REAL(wp), DIMENSION(A2D(0)), INTENT(inout) :: pdbds_mle ! Magnitude of horizontal buoyancy gradient |
---|
[14785] | 2750 | ! |
---|
| 2751 | ! Local variables |
---|
| 2752 | INTEGER :: ji, jj, jk ! Dummy loop indices |
---|
| 2753 | INTEGER :: ikt, ikmax ! Local integers |
---|
| 2754 | REAL(wp) :: zc |
---|
| 2755 | REAL(wp) :: zN2_c ! Local buoyancy difference from 10m value |
---|
| 2756 | REAL(wp), DIMENSION(A2D(1)) :: ztm |
---|
| 2757 | REAL(wp), DIMENSION(A2D(1)) :: zsm |
---|
| 2758 | REAL(wp), DIMENSION(A2D(1),jpts) :: ztsm_midu |
---|
| 2759 | REAL(wp), DIMENSION(A2D(1),jpts) :: ztsm_midv |
---|
| 2760 | REAL(wp), DIMENSION(A2D(1),jpts) :: zabu |
---|
| 2761 | REAL(wp), DIMENSION(A2D(1),jpts) :: zabv |
---|
| 2762 | REAL(wp), DIMENSION(A2D(1)) :: zmld_midu |
---|
| 2763 | REAL(wp), DIMENSION(A2D(1)) :: zmld_midv |
---|
| 2764 | ! |
---|
| 2765 | IF( ln_timing ) CALL timing_start('zdf_osm_zhg') |
---|
| 2766 | ! |
---|
| 2767 | ! == MLD used for MLE ==! |
---|
| 2768 | mld_prof(:,:) = nlb10 ! Initialization to the number of w ocean point |
---|
| 2769 | pmld(:,:) = 0.0_wp ! Here hmlp used as a dummy variable, integrating vertically N^2 |
---|
| 2770 | zN2_c = grav * rn_osm_mle_rho_c * r1_rho0 ! Convert density criteria into N^2 criteria |
---|
| 2771 | DO_3D( 1, 1, 1, 1, nlb10, jpkm1 ) |
---|
| 2772 | ikt = mbkt(ji,jj) |
---|
| 2773 | pmld(ji,jj) = pmld(ji,jj) + MAX( rn2b(ji,jj,jk), 0.0_wp ) * e3w(ji,jj,jk,Kmm) |
---|
| 2774 | IF( pmld(ji,jj) < zN2_c ) mld_prof(ji,jj) = MIN( jk , ikt ) + 1 ! Mixed layer level |
---|
| 2775 | END_3D |
---|
| 2776 | DO_2D( 1, 1, 1, 1 ) |
---|
[14798] | 2777 | mld_prof(ji,jj) = MAX( mld_prof(ji,jj), nbld(ji,jj) ) ! Ensure mld_prof .ge. nbld |
---|
[14785] | 2778 | pmld(ji,jj) = gdepw(ji,jj,mld_prof(ji,jj),Kmm) |
---|
| 2779 | END_2D |
---|
| 2780 | ! |
---|
| 2781 | ikmax = MIN( MAXVAL( mld_prof(:,:) ), jpkm1 ) ! Max level of the computation |
---|
| 2782 | ztm(:,:) = 0.0_wp |
---|
| 2783 | zsm(:,:) = 0.0_wp |
---|
| 2784 | DO_3D( 1, 1, 1, 1, 1, ikmax ) |
---|
| 2785 | zc = e3t(ji,jj,jk,Kmm) * REAL( MIN( MAX( 0, mld_prof(ji,jj) - jk ), 1 ), KIND=wp ) ! zc being 0 outside the ML t-points |
---|
| 2786 | ztm(ji,jj) = ztm(ji,jj) + zc * ts(ji,jj,jk,jp_tem,Kmm) |
---|
| 2787 | zsm(ji,jj) = zsm(ji,jj) + zc * ts(ji,jj,jk,jp_sal,Kmm) |
---|
| 2788 | END_3D |
---|
| 2789 | ! Average temperature and salinity |
---|
| 2790 | ztm(:,:) = ztm(:,:) / MAX( e3t(:,:,1,Kmm), pmld(:,:) ) |
---|
| 2791 | zsm(:,:) = zsm(:,:) / MAX( e3t(:,:,1,Kmm), pmld(:,:) ) |
---|
| 2792 | ! Calculate horizontal gradients at u & v points |
---|
| 2793 | zmld_midu(:,:) = 0.0_wp |
---|
| 2794 | ztsm_midu(:,:,:) = 10.0_wp |
---|
[14822] | 2795 | DO_2D( 1, 0, 0, 0 ) |
---|
[14785] | 2796 | pdtdx(ji,jj) = ( ztm(ji+1,jj) - ztm(ji,jj) ) * umask(ji,jj,1) / e1u(ji,jj) |
---|
| 2797 | pdsdx(ji,jj) = ( zsm(ji+1,jj) - zsm(ji,jj) ) * umask(ji,jj,1) / e1u(ji,jj) |
---|
| 2798 | zmld_midu(ji,jj) = 0.25_wp * ( pmld(ji+1,jj) + pmld(ji,jj)) |
---|
| 2799 | ztsm_midu(ji,jj,jp_tem) = 0.5_wp * ( ztm( ji+1,jj) + ztm( ji,jj) ) |
---|
| 2800 | ztsm_midu(ji,jj,jp_sal) = 0.5_wp * ( zsm( ji+1,jj) + zsm( ji,jj) ) |
---|
| 2801 | END_2D |
---|
| 2802 | zmld_midv(:,:) = 0.0_wp |
---|
| 2803 | ztsm_midv(:,:,:) = 10.0_wp |
---|
[14822] | 2804 | DO_2D( 0, 0, 1, 0 ) |
---|
[14785] | 2805 | pdtdy(ji,jj) = ( ztm(ji,jj+1) - ztm(ji,jj) ) * vmask(ji,jj,1) / e1v(ji,jj) |
---|
| 2806 | pdsdy(ji,jj) = ( zsm(ji,jj+1) - zsm(ji,jj) ) * vmask(ji,jj,1) / e1v(ji,jj) |
---|
| 2807 | zmld_midv(ji,jj) = 0.25_wp * ( pmld(ji,jj+1) + pmld( ji,jj) ) |
---|
| 2808 | ztsm_midv(ji,jj,jp_tem) = 0.5_wp * ( ztm( ji,jj+1) + ztm( ji,jj) ) |
---|
| 2809 | ztsm_midv(ji,jj,jp_sal) = 0.5_wp * ( zsm( ji,jj+1) + zsm( ji,jj) ) |
---|
| 2810 | END_2D |
---|
| 2811 | CALL eos_rab( ztsm_midu, zmld_midu, zabu, Kmm ) |
---|
| 2812 | CALL eos_rab( ztsm_midv, zmld_midv, zabv, Kmm ) |
---|
[14822] | 2813 | DO_2D( 1, 0, 0, 0 ) |
---|
[14785] | 2814 | pdbdx_mle(ji,jj) = grav * ( pdtdx(ji,jj) * zabu(ji,jj,jp_tem) - pdsdx(ji,jj) * zabu(ji,jj,jp_sal) ) |
---|
| 2815 | END_2D |
---|
[14822] | 2816 | DO_2D( 0, 0, 1, 0 ) |
---|
[14785] | 2817 | pdbdy_mle(ji,jj) = grav * ( pdtdy(ji,jj) * zabv(ji,jj,jp_tem) - pdsdy(ji,jj) * zabv(ji,jj,jp_sal) ) |
---|
| 2818 | END_2D |
---|
| 2819 | DO_2D( 0, 0, 0, 0 ) |
---|
| 2820 | pdbds_mle(ji,jj) = SQRT( 0.5_wp * ( pdbdx_mle(ji, jj) * pdbdx_mle(ji, jj) + pdbdy_mle(ji,jj ) * pdbdy_mle(ji,jj ) + & |
---|
| 2821 | & pdbdx_mle(ji-1,jj) * pdbdx_mle(ji-1,jj) + pdbdy_mle(ji,jj-1) * pdbdy_mle(ji,jj-1) ) ) |
---|
| 2822 | END_2D |
---|
| 2823 | ! |
---|
| 2824 | IF( ln_timing ) CALL timing_stop('zdf_osm_zhg') |
---|
| 2825 | ! |
---|
| 2826 | END SUBROUTINE zdf_osm_zmld_horizontal_gradients |
---|
| 2827 | |
---|
[14802] | 2828 | SUBROUTINE zdf_osm_osbl_state_fk( Kmm, pwb_fk, phbl, phmle, pwb_ent, & |
---|
[14803] | 2829 | & pdbds_mle ) |
---|
[14785] | 2830 | !!--------------------------------------------------------------------- |
---|
| 2831 | !! *** ROUTINE zdf_osm_osbl_state_fk *** |
---|
| 2832 | !! |
---|
| 2833 | !! ** Purpose : Determines the state of the OSBL and MLE layer. Info is |
---|
[14798] | 2834 | !! returned in the logicals l_pyc, l_flux and ldmle. Used |
---|
[14785] | 2835 | !! with Fox-Kemper scheme. |
---|
[14798] | 2836 | !! l_pyc :: determines whether pycnocline flux-grad |
---|
[14785] | 2837 | !! relationship needs to be determined |
---|
[14798] | 2838 | !! l_flux :: determines whether effects of surface flux |
---|
[14785] | 2839 | !! extend below the base of the OSBL |
---|
| 2840 | !! ldmle :: determines whether the layer with MLE is |
---|
| 2841 | !! increasing with time or if base is relaxing |
---|
| 2842 | !! towards hbl |
---|
| 2843 | !! |
---|
| 2844 | !! ** Method : |
---|
| 2845 | !! |
---|
| 2846 | !!---------------------------------------------------------------------- |
---|
| 2847 | ! Outputs |
---|
[14816] | 2848 | INTEGER, INTENT(in ) :: Kmm ! Time-level index |
---|
| 2849 | REAL(wp), DIMENSION(A2D(0)), INTENT(inout) :: pwb_fk |
---|
| 2850 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: phbl ! BL depth |
---|
| 2851 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: phmle ! MLE depth |
---|
| 2852 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pwb_ent ! Buoyancy entrainment flux |
---|
| 2853 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdbds_mle ! Magnitude of horizontal buoyancy gradient |
---|
[14785] | 2854 | ! |
---|
| 2855 | ! Local variables |
---|
| 2856 | INTEGER :: ji, jj, jk ! Dummy loop indices |
---|
| 2857 | REAL(wp), DIMENSION(A2D(0)) :: znd_param |
---|
| 2858 | REAL(wp) :: zthermal, zbeta |
---|
| 2859 | REAL(wp) :: zbuoy |
---|
| 2860 | REAL(wp) :: ztmp |
---|
| 2861 | REAL(wp) :: zpe_mle_layer |
---|
| 2862 | REAL(wp) :: zpe_mle_ref |
---|
| 2863 | REAL(wp) :: zdbdz_mle_int |
---|
| 2864 | ! |
---|
| 2865 | IF( ln_timing ) CALL timing_start('zdf_osm_osf') |
---|
| 2866 | ! |
---|
| 2867 | znd_param(A2D(0)) = 0.0_wp |
---|
| 2868 | ! |
---|
| 2869 | DO_2D( 0, 0, 0, 0 ) |
---|
| 2870 | ztmp = r1_ft(ji,jj) * MIN( 111.e3_wp , e1u(ji,jj) ) / rn_osm_mle_lf |
---|
| 2871 | pwb_fk(ji,jj) = rn_osm_mle_ce * hmle(ji,jj) * hmle(ji,jj) * ztmp * pdbds_mle(ji,jj) * pdbds_mle(ji,jj) |
---|
| 2872 | END_2D |
---|
| 2873 | ! |
---|
| 2874 | DO_2D( 0, 0, 0, 0 ) |
---|
| 2875 | ! |
---|
[14798] | 2876 | IF ( l_conv(ji,jj) ) THEN |
---|
[14785] | 2877 | IF ( phmle(ji,jj) > 1.2_wp * phbl(ji,jj) ) THEN |
---|
[14802] | 2878 | av_t_mle(ji,jj) = ( av_t_mle(ji,jj) * phmle(ji,jj) - av_t_bl(ji,jj) * phbl(ji,jj) ) / ( phmle(ji,jj) - phbl(ji,jj) ) |
---|
| 2879 | av_s_mle(ji,jj) = ( av_s_mle(ji,jj) * phmle(ji,jj) - av_s_bl(ji,jj) * phbl(ji,jj) ) / ( phmle(ji,jj) - phbl(ji,jj) ) |
---|
| 2880 | av_b_mle(ji,jj) = ( av_b_mle(ji,jj) * phmle(ji,jj) - av_b_bl(ji,jj) * phbl(ji,jj) ) / ( phmle(ji,jj) - phbl(ji,jj) ) |
---|
| 2881 | zdbdz_mle_int = ( av_b_bl(ji,jj) - ( 2.0_wp * av_b_mle(ji,jj) - av_b_bl(ji,jj) ) ) / ( phmle(ji,jj) - phbl(ji,jj) ) |
---|
[14785] | 2882 | ! Calculate potential energies of actual profile and reference profile |
---|
| 2883 | zpe_mle_layer = 0.0_wp |
---|
| 2884 | zpe_mle_ref = 0.0_wp |
---|
| 2885 | zthermal = rab_n(ji,jj,1,jp_tem) |
---|
| 2886 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
[14798] | 2887 | DO jk = nbld(ji,jj), mld_prof(ji,jj) |
---|
[14785] | 2888 | zbuoy = grav * ( zthermal * ts(ji,jj,jk,jp_tem,Kmm) - zbeta * ts(ji,jj,jk,jp_sal,Kmm) ) |
---|
| 2889 | zpe_mle_layer = zpe_mle_layer + zbuoy * gdepw(ji,jj,jk,Kmm) * e3w(ji,jj,jk,Kmm) |
---|
[14802] | 2890 | zpe_mle_ref = zpe_mle_ref + ( av_b_bl(ji,jj) - zdbdz_mle_int * ( gdepw(ji,jj,jk,Kmm) - phbl(ji,jj) ) ) * & |
---|
[14785] | 2891 | & gdepw(ji,jj,jk,Kmm) * e3w(ji,jj,jk,Kmm) |
---|
| 2892 | END DO |
---|
| 2893 | ! Non-dimensional parameter to diagnose the presence of thermocline |
---|
| 2894 | znd_param(ji,jj) = ( zpe_mle_layer - zpe_mle_ref ) * ABS( ff_t(ji,jj) ) / & |
---|
| 2895 | & ( MAX( pwb_fk(ji,jj), 1e-10 ) * phmle(ji,jj) ) |
---|
| 2896 | END IF |
---|
| 2897 | END IF |
---|
| 2898 | ! |
---|
| 2899 | END_2D |
---|
| 2900 | ! |
---|
| 2901 | ! Diagnosis |
---|
| 2902 | DO_2D( 0, 0, 0, 0 ) |
---|
| 2903 | ! |
---|
[14798] | 2904 | IF ( l_conv(ji,jj) ) THEN |
---|
[14785] | 2905 | IF ( -2.0_wp * pwb_fk(ji,jj) / pwb_ent(ji,jj) > 0.5_wp ) THEN |
---|
| 2906 | IF ( phmle(ji,jj) > 1.2_wp * phbl(ji,jj) ) THEN ! MLE layer growing |
---|
| 2907 | IF ( znd_param (ji,jj) > 100.0_wp ) THEN ! Thermocline present |
---|
[14798] | 2908 | l_flux(ji,jj) = .FALSE. |
---|
| 2909 | l_mle(ji,jj) = .FALSE. |
---|
[14785] | 2910 | ELSE ! Thermocline not present |
---|
[14798] | 2911 | l_flux(ji,jj) = .TRUE. |
---|
| 2912 | l_mle(ji,jj) = .TRUE. |
---|
[14785] | 2913 | ENDIF ! znd_param > 100 |
---|
| 2914 | ! |
---|
[14803] | 2915 | IF ( av_db_bl(ji,jj) < rn_osm_bl_thresh ) THEN |
---|
[14798] | 2916 | l_pyc(ji,jj) = .FALSE. |
---|
[14785] | 2917 | ELSE |
---|
[14798] | 2918 | l_pyc(ji,jj) = .TRUE. |
---|
[14785] | 2919 | ENDIF |
---|
| 2920 | ELSE ! MLE layer restricted to OSBL or just below |
---|
[14803] | 2921 | IF ( av_db_bl(ji,jj) < rn_osm_bl_thresh ) THEN ! Weak stratification MLE layer can grow |
---|
[14798] | 2922 | l_pyc(ji,jj) = .FALSE. |
---|
| 2923 | l_flux(ji,jj) = .TRUE. |
---|
| 2924 | l_mle(ji,jj) = .TRUE. |
---|
[14785] | 2925 | ELSE ! Strong stratification |
---|
[14798] | 2926 | l_pyc(ji,jj) = .TRUE. |
---|
| 2927 | l_flux(ji,jj) = .FALSE. |
---|
| 2928 | l_mle(ji,jj) = .FALSE. |
---|
[14803] | 2929 | END IF ! av_db_bl < rn_mle_thresh_bl and |
---|
[14785] | 2930 | END IF ! phmle > 1.2 phbl |
---|
| 2931 | ELSE |
---|
[14798] | 2932 | l_pyc(ji,jj) = .TRUE. |
---|
| 2933 | l_flux(ji,jj) = .FALSE. |
---|
| 2934 | l_mle(ji,jj) = .FALSE. |
---|
[14803] | 2935 | IF ( av_db_bl(ji,jj) < rn_osm_bl_thresh ) l_pyc(ji,jj) = .FALSE. |
---|
[14785] | 2936 | END IF ! -2.0 * pwb_fk(ji,jj) / pwb_ent > 0.5 |
---|
| 2937 | ELSE ! Stable Boundary Layer |
---|
[14798] | 2938 | l_pyc(ji,jj) = .FALSE. |
---|
| 2939 | l_flux(ji,jj) = .FALSE. |
---|
| 2940 | l_mle(ji,jj) = .FALSE. |
---|
| 2941 | END IF ! l_conv |
---|
[14785] | 2942 | ! |
---|
| 2943 | END_2D |
---|
| 2944 | ! |
---|
| 2945 | IF( ln_timing ) CALL timing_stop('zdf_osm_osf') |
---|
| 2946 | ! |
---|
| 2947 | END SUBROUTINE zdf_osm_osbl_state_fk |
---|
| 2948 | |
---|
[14802] | 2949 | SUBROUTINE zdf_osm_mle_parameters( Kmm, kmld_prof, pmld, phmle, pvel_mle, & |
---|
| 2950 | & pdiff_mle, pdbds_mle, phbl, pwb0tot ) |
---|
[14785] | 2951 | !!---------------------------------------------------------------------- |
---|
| 2952 | !! *** ROUTINE zdf_osm_mle_parameters *** |
---|
| 2953 | !! |
---|
| 2954 | !! ** Purpose : Timesteps the mixed layer eddy depth, hmle and calculates |
---|
| 2955 | !! the mixed layer eddy fluxes for buoyancy, heat and |
---|
| 2956 | !! salinity. |
---|
| 2957 | !! |
---|
| 2958 | !! ** Method : |
---|
| 2959 | !! |
---|
| 2960 | !! References: Fox-Kemper et al., JPO, 38, 1145-1165, 2008 |
---|
| 2961 | !! Fox-Kemper and Ferrari, JPO, 38, 1166-1179, 2008 |
---|
| 2962 | !! |
---|
| 2963 | !!---------------------------------------------------------------------- |
---|
| 2964 | INTEGER, INTENT(in ) :: Kmm ! Time-level index |
---|
| 2965 | INTEGER, DIMENSION(:,:), INTENT(inout) :: kmld_prof |
---|
| 2966 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pmld ! == Estimated FK BLD used for MLE horiz gradients == ! |
---|
[14816] | 2967 | REAL(wp), DIMENSION(A2D(0)), INTENT(inout) :: phmle ! MLE depth |
---|
| 2968 | REAL(wp), DIMENSION(A2D(0)), INTENT(inout) :: pvel_mle ! Velocity scale for dhdt with stable ML and FK |
---|
| 2969 | REAL(wp), DIMENSION(A2D(0)), INTENT(inout) :: pdiff_mle ! Extra MLE vertical diff |
---|
| 2970 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdbds_mle ! Magnitude of horizontal buoyancy gradient |
---|
| 2971 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: phbl ! BL depth |
---|
[14785] | 2972 | REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pwb0tot ! Total surface buoyancy flux including insolation |
---|
| 2973 | ! |
---|
| 2974 | ! Local variables |
---|
| 2975 | INTEGER :: ji, jj, jk ! Dummy loop indices |
---|
| 2976 | REAL(wp) :: ztmp |
---|
| 2977 | REAL(wp) :: zdbdz |
---|
| 2978 | REAL(wp) :: zdtdz |
---|
| 2979 | REAL(wp) :: zdsdz |
---|
| 2980 | REAL(wp) :: zthermal |
---|
| 2981 | REAL(wp) :: zbeta |
---|
| 2982 | REAL(wp) :: zbuoy |
---|
| 2983 | REAL(wp) :: zdb_mle |
---|
| 2984 | ! |
---|
| 2985 | IF( ln_timing ) CALL timing_start('zdf_osm_mp') |
---|
| 2986 | ! |
---|
| 2987 | ! Calculate vertical buoyancy, heat and salinity fluxes due to MLE |
---|
| 2988 | DO_2D( 0, 0, 0, 0 ) |
---|
[14798] | 2989 | IF ( l_conv(ji,jj) ) THEN |
---|
[14785] | 2990 | ztmp = r1_ft(ji,jj) * MIN( 111e3_wp, e1u(ji,jj) ) / rn_osm_mle_lf |
---|
| 2991 | ! This velocity scale, defined in Fox-Kemper et al (2008), is needed for calculating dhdt |
---|
| 2992 | pvel_mle(ji,jj) = pdbds_mle(ji,jj) * ztmp * hmle(ji,jj) * tmask(ji,jj,1) |
---|
| 2993 | pdiff_mle(ji,jj) = 5e-4_wp * rn_osm_mle_ce * ztmp * pdbds_mle(ji,jj) * phmle(ji,jj)**2 |
---|
| 2994 | END IF |
---|
| 2995 | END_2D |
---|
| 2996 | ! Timestep mixed layer eddy depth |
---|
| 2997 | DO_2D( 0, 0, 0, 0 ) |
---|
[14798] | 2998 | IF ( l_mle(ji,jj) ) THEN ! MLE layer growing |
---|
[14785] | 2999 | ! Buoyancy gradient at base of MLE layer |
---|
| 3000 | zthermal = rab_n(ji,jj,1,jp_tem) |
---|
| 3001 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
| 3002 | zbuoy = grav * ( zthermal * ts(ji,jj,kmld_prof(ji,jj)+2,jp_tem,Kmm) - & |
---|
| 3003 | & zbeta * ts(ji,jj,kmld_prof(ji,jj)+2,jp_sal,Kmm) ) |
---|
[14802] | 3004 | zdb_mle = av_b_bl(ji,jj) - zbuoy |
---|
[14785] | 3005 | ! Timestep hmle |
---|
| 3006 | hmle(ji,jj) = hmle(ji,jj) + pwb0tot(ji,jj) * rn_Dt / zdb_mle |
---|
| 3007 | ELSE |
---|
| 3008 | IF ( phmle(ji,jj) > phbl(ji,jj) ) THEN |
---|
| 3009 | hmle(ji,jj) = hmle(ji,jj) - ( hmle(ji,jj) - hbl(ji,jj) ) * rn_Dt / rn_osm_mle_tau |
---|
| 3010 | ELSE |
---|
| 3011 | hmle(ji,jj) = hmle(ji,jj) - 10.0_wp * ( hmle(ji,jj) - hbl(ji,jj) ) * rn_Dt / rn_osm_mle_tau |
---|
| 3012 | END IF |
---|
| 3013 | END IF |
---|
| 3014 | hmle(ji,jj) = MAX( MIN( hmle(ji,jj), ht(ji,jj) ), gdepw(ji,jj,4,Kmm) ) |
---|
| 3015 | IF ( ln_osm_hmle_limit ) hmle(ji,jj) = MIN( hmle(ji,jj), rn_osm_hmle_limit*hbl(ji,jj) ) |
---|
| 3016 | hmle(ji,jj) = pmld(ji,jj) ! For now try just set hmle to pmld |
---|
| 3017 | END_2D |
---|
| 3018 | ! |
---|
| 3019 | kmld_prof(:,:) = 4 |
---|
| 3020 | DO_3D( 0, 0, 0, 0, 5, jpkm1 ) |
---|
| 3021 | IF ( hmle(ji,jj) >= gdepw(ji,jj,jk,Kmm) ) kmld_prof(ji,jj) = MIN( mbkt(ji,jj), jk ) |
---|
| 3022 | END_3D |
---|
| 3023 | DO_2D( 0, 0, 0, 0 ) |
---|
| 3024 | phmle(ji,jj) = gdepw(ji,jj,kmld_prof(ji,jj),Kmm) |
---|
| 3025 | END_2D |
---|
| 3026 | ! |
---|
| 3027 | IF( ln_timing ) CALL timing_stop('zdf_osm_mp') |
---|
| 3028 | ! |
---|
| 3029 | END SUBROUTINE zdf_osm_mle_parameters |
---|
| 3030 | |
---|
[14045] | 3031 | SUBROUTINE zdf_osm_init( Kmm ) |
---|
[14571] | 3032 | !!---------------------------------------------------------------------- |
---|
| 3033 | !! *** ROUTINE zdf_osm_init *** |
---|
| 3034 | !! |
---|
| 3035 | !! ** Purpose : Initialization of the vertical eddy diffivity and |
---|
| 3036 | !! viscosity when using a osm turbulent closure scheme |
---|
| 3037 | !! |
---|
| 3038 | !! ** Method : Read the namosm namelist and check the parameters |
---|
| 3039 | !! called at the first timestep (nit000) |
---|
| 3040 | !! |
---|
[14802] | 3041 | !! ** input : Namlists namzdf_osm and namosm_mle |
---|
| 3042 | !! |
---|
[14571] | 3043 | !!---------------------------------------------------------------------- |
---|
[14802] | 3044 | INTEGER, INTENT(in ) :: Kmm ! Time level |
---|
| 3045 | ! |
---|
| 3046 | ! Local variables |
---|
| 3047 | INTEGER :: ios ! Local integer |
---|
| 3048 | INTEGER :: ji, jj, jk ! Dummy loop indices |
---|
| 3049 | REAL(wp) :: z1_t2 |
---|
| 3050 | ! |
---|
| 3051 | REAL(wp), PARAMETER :: pp_large = -1e10_wp |
---|
| 3052 | ! |
---|
| 3053 | NAMELIST/namzdf_osm/ ln_use_osm_la, rn_osm_la, rn_osm_dstokes, nn_ave, nn_osm_wave, & |
---|
| 3054 | & ln_dia_osm, rn_osm_hbl0, rn_zdfosm_adjust_sd, ln_kpprimix, rn_riinfty, & |
---|
| 3055 | & rn_difri, ln_convmix, rn_difconv, nn_osm_wave, nn_osm_SD_reduce, & |
---|
| 3056 | & ln_osm_mle, rn_osm_hblfrac, rn_osm_bl_thresh, ln_zdfosm_ice_shelter |
---|
| 3057 | ! Namelist for Fox-Kemper parametrization |
---|
| 3058 | NAMELIST/namosm_mle/ nn_osm_mle, rn_osm_mle_ce, rn_osm_mle_lf, rn_osm_mle_time, rn_osm_mle_lat, & |
---|
| 3059 | & rn_osm_mle_rho_c, rn_osm_mle_thresh, rn_osm_mle_tau, ln_osm_hmle_limit, rn_osm_hmle_limit |
---|
[14571] | 3060 | ! |
---|
| 3061 | IF( ln_timing ) CALL timing_start('zdf_osm_init') |
---|
| 3062 | READ ( numnam_ref, namzdf_osm, IOSTAT = ios, ERR = 901) |
---|
| 3063 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_osm in reference namelist' ) |
---|
[8930] | 3064 | |
---|
[14571] | 3065 | READ ( numnam_cfg, namzdf_osm, IOSTAT = ios, ERR = 902 ) |
---|
| 3066 | 902 IF( ios > 0 ) CALL ctl_nam ( ios , 'namzdf_osm in configuration namelist' ) |
---|
| 3067 | IF(lwm) WRITE ( numond, namzdf_osm ) |
---|
[8930] | 3068 | |
---|
[14571] | 3069 | IF(lwp) THEN ! Control print |
---|
| 3070 | WRITE(numout,*) |
---|
| 3071 | WRITE(numout,*) 'zdf_osm_init : OSMOSIS Parameterisation' |
---|
| 3072 | WRITE(numout,*) '~~~~~~~~~~~~' |
---|
| 3073 | WRITE(numout,*) ' Namelist namzdf_osm : set osm mixing parameters' |
---|
[14802] | 3074 | WRITE(numout,*) ' Use rn_osm_la ln_use_osm_la = ', ln_use_osm_la |
---|
| 3075 | WRITE(numout,*) ' Use MLE in OBL, i.e. Fox-Kemper param ln_osm_mle = ', ln_osm_mle |
---|
| 3076 | WRITE(numout,*) ' Turbulent Langmuir number rn_osm_la = ', rn_osm_la |
---|
| 3077 | WRITE(numout,*) ' Stokes drift reduction factor rn_zdfosm_adjust_sd = ', rn_zdfosm_adjust_sd |
---|
| 3078 | WRITE(numout,*) ' Initial hbl for 1D runs rn_osm_hbl0 = ', rn_osm_hbl0 |
---|
| 3079 | WRITE(numout,*) ' Depth scale of Stokes drift rn_osm_dstokes = ', rn_osm_dstokes |
---|
| 3080 | WRITE(numout,*) ' Horizontal average flag nn_ave = ', nn_ave |
---|
| 3081 | WRITE(numout,*) ' Stokes drift nn_osm_wave = ', nn_osm_wave |
---|
[14571] | 3082 | SELECT CASE (nn_osm_wave) |
---|
| 3083 | CASE(0) |
---|
[14802] | 3084 | WRITE(numout,*) ' Calculated assuming constant La#=0.3' |
---|
[14571] | 3085 | CASE(1) |
---|
[14802] | 3086 | WRITE(numout,*) ' Calculated from Pierson Moskowitz wind-waves' |
---|
[14571] | 3087 | CASE(2) |
---|
[14802] | 3088 | WRITE(numout,*) ' Calculated from ECMWF wave fields' |
---|
[14045] | 3089 | END SELECT |
---|
[14802] | 3090 | WRITE(numout,*) ' Stokes drift reduction nn_osm_SD_reduce = ', nn_osm_SD_reduce |
---|
| 3091 | WRITE(numout,*) ' Fraction of hbl to average SD over/fit' |
---|
| 3092 | WRITE(numout,*) ' Exponential with nn_osm_SD_reduce = 1 or 2 rn_osm_hblfrac = ', rn_osm_hblfrac |
---|
[14571] | 3093 | SELECT CASE (nn_osm_SD_reduce) |
---|
| 3094 | CASE(0) |
---|
| 3095 | WRITE(numout,*) ' No reduction' |
---|
| 3096 | CASE(1) |
---|
| 3097 | WRITE(numout,*) ' Average SD over upper rn_osm_hblfrac of BL' |
---|
| 3098 | CASE(2) |
---|
| 3099 | WRITE(numout,*) ' Fit exponential to slope rn_osm_hblfrac of BL' |
---|
| 3100 | END SELECT |
---|
[14802] | 3101 | WRITE(numout,*) ' Reduce surface SD and depth scale under ice ln_zdfosm_ice_shelter = ', ln_zdfosm_ice_shelter |
---|
| 3102 | WRITE(numout,*) ' Output osm diagnostics ln_dia_osm = ', ln_dia_osm |
---|
| 3103 | WRITE(numout,*) ' Threshold used to define BL rn_osm_bl_thresh = ', rn_osm_bl_thresh, & |
---|
| 3104 | & 'm^2/s' |
---|
| 3105 | WRITE(numout,*) ' Use KPP-style shear instability mixing ln_kpprimix = ', ln_kpprimix |
---|
| 3106 | WRITE(numout,*) ' Local Richardson Number limit for shear instability rn_riinfty = ', rn_riinfty |
---|
| 3107 | WRITE(numout,*) ' Maximum shear diffusivity at Rig = 0 (m2/s) rn_difri = ', rn_difri |
---|
| 3108 | WRITE(numout,*) ' Use large mixing below BL when unstable ln_convmix = ', ln_convmix |
---|
| 3109 | WRITE(numout,*) ' Diffusivity when unstable below BL (m2/s) rn_difconv = ', rn_difconv |
---|
[14571] | 3110 | ENDIF |
---|
[14802] | 3111 | ! |
---|
[14571] | 3112 | ! ! Check wave coupling settings ! |
---|
| 3113 | ! ! Further work needed - see ticket #2447 ! |
---|
[14802] | 3114 | IF ( nn_osm_wave == 2 ) THEN |
---|
[14571] | 3115 | IF (.NOT. ( ln_wave .AND. ln_sdw )) & |
---|
| 3116 | & CALL ctl_stop( 'zdf_osm_init : ln_zdfosm and nn_osm_wave=2, ln_wave and ln_sdw must be true' ) |
---|
| 3117 | END IF |
---|
[14802] | 3118 | ! |
---|
[14571] | 3119 | ! Flags associated with diagnostic output |
---|
| 3120 | IF ( ln_dia_osm .AND. ( iom_use("zdudz_pyc") .OR. iom_use("zdvdz_pyc") ) ) ln_dia_pyc_shr = .TRUE. |
---|
| 3121 | IF ( ln_dia_osm .AND. ( iom_use("zdtdz_pyc") .OR. iom_use("zdsdz_pyc") .OR. iom_use("zdbdz_pyc" ) ) ) ln_dia_pyc_scl = .TRUE. |
---|
[14802] | 3122 | ! |
---|
| 3123 | ! Allocate zdfosm arrays |
---|
| 3124 | IF( zdf_osm_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'zdf_osm_init : unable to allocate arrays' ) |
---|
| 3125 | ! |
---|
| 3126 | IF( ln_osm_mle ) THEN ! Initialise Fox-Kemper parametrization |
---|
[14045] | 3127 | READ ( numnam_ref, namosm_mle, IOSTAT = ios, ERR = 903) |
---|
[14802] | 3128 | 903 IF( ios /= 0 ) CALL ctl_nam( ios, 'namosm_mle in reference namelist' ) |
---|
[14045] | 3129 | READ ( numnam_cfg, namosm_mle, IOSTAT = ios, ERR = 904 ) |
---|
[14802] | 3130 | 904 IF( ios > 0 ) CALL ctl_nam( ios, 'namosm_mle in configuration namelist' ) |
---|
[14045] | 3131 | IF(lwm) WRITE ( numond, namosm_mle ) |
---|
[14802] | 3132 | ! |
---|
| 3133 | IF(lwp) THEN ! Namelist print |
---|
[14045] | 3134 | WRITE(numout,*) |
---|
| 3135 | WRITE(numout,*) 'zdf_osm_init : initialise mixed layer eddy (MLE)' |
---|
| 3136 | WRITE(numout,*) '~~~~~~~~~~~~~' |
---|
| 3137 | WRITE(numout,*) ' Namelist namosm_mle : ' |
---|
[14802] | 3138 | WRITE(numout,*) ' MLE type: =0 standard Fox-Kemper ; =1 new formulation nn_osm_mle = ', nn_osm_mle |
---|
| 3139 | WRITE(numout,*) ' Magnitude of the MLE (typical value: 0.06 to 0.08) rn_osm_mle_ce = ', rn_osm_mle_ce |
---|
| 3140 | WRITE(numout,*) ' Scale of ML front (ML radius of deform.) (nn_osm_mle=0) rn_osm_mle_lf = ', rn_osm_mle_lf, & |
---|
| 3141 | & 'm' |
---|
| 3142 | WRITE(numout,*) ' Maximum time scale of MLE (nn_osm_mle=0) rn_osm_mle_time = ', & |
---|
| 3143 | & rn_osm_mle_time, 's' |
---|
| 3144 | WRITE(numout,*) ' Reference latitude (deg) of MLE coef. (nn_osm_mle=1) rn_osm_mle_lat = ', rn_osm_mle_lat, & |
---|
| 3145 | & 'deg' |
---|
| 3146 | WRITE(numout,*) ' Density difference used to define ML for FK rn_osm_mle_rho_c = ', rn_osm_mle_rho_c |
---|
| 3147 | WRITE(numout,*) ' Threshold used to define MLE for FK rn_osm_mle_thresh = ', & |
---|
| 3148 | & rn_osm_mle_thresh, 'm^2/s' |
---|
| 3149 | WRITE(numout,*) ' Timescale for OSM-FK rn_osm_mle_tau = ', rn_osm_mle_tau, 's' |
---|
| 3150 | WRITE(numout,*) ' Switch to limit hmle ln_osm_hmle_limit = ', ln_osm_hmle_limit |
---|
| 3151 | WRITE(numout,*) ' hmle limit (fraction of zmld) (ln_osm_hmle_limit = .T.) rn_osm_hmle_limit = ', rn_osm_hmle_limit |
---|
| 3152 | END IF |
---|
| 3153 | END IF |
---|
[14045] | 3154 | ! |
---|
| 3155 | IF(lwp) THEN |
---|
| 3156 | WRITE(numout,*) |
---|
[14802] | 3157 | IF ( ln_osm_mle ) THEN |
---|
[14045] | 3158 | WRITE(numout,*) ' ==>>> Mixed Layer Eddy induced transport added to OSMOSIS BL calculation' |
---|
| 3159 | IF( nn_osm_mle == 0 ) WRITE(numout,*) ' Fox-Kemper et al 2010 formulation' |
---|
| 3160 | IF( nn_osm_mle == 1 ) WRITE(numout,*) ' New formulation' |
---|
| 3161 | ELSE |
---|
| 3162 | WRITE(numout,*) ' ==>>> Mixed Layer induced transport NOT added to OSMOSIS BL calculation' |
---|
[14802] | 3163 | END IF |
---|
| 3164 | END IF |
---|
[14045] | 3165 | ! |
---|
[14802] | 3166 | IF( ln_osm_mle ) THEN ! MLE initialisation |
---|
[14045] | 3167 | ! |
---|
[14802] | 3168 | rb_c = grav * rn_osm_mle_rho_c / rho0 ! Mixed Layer buoyancy criteria |
---|
[14045] | 3169 | IF(lwp) WRITE(numout,*) |
---|
| 3170 | IF(lwp) WRITE(numout,*) ' ML buoyancy criteria = ', rb_c, ' m/s2 ' |
---|
| 3171 | IF(lwp) WRITE(numout,*) ' associated ML density criteria defined in zdfmxl = ', rn_osm_mle_rho_c, 'kg/m3' |
---|
| 3172 | ! |
---|
[14802] | 3173 | IF( nn_osm_mle == 1 ) THEN |
---|
| 3174 | rc_f = rn_osm_mle_ce / ( 5e3_wp * 2.0_wp * omega * SIN( rad * rn_osm_mle_lat ) ) |
---|
| 3175 | END IF |
---|
| 3176 | ! 1/(f^2+tau^2)^1/2 at t-point (needed in both nn_osm_mle case) |
---|
| 3177 | z1_t2 = 2e-5_wp |
---|
[14816] | 3178 | DO_2D( 0, 0, 0, 0 ) |
---|
[14802] | 3179 | r1_ft(ji,jj) = MIN( 1.0_wp / ( ABS( ff_t(ji,jj)) + epsln ), ABS( ff_t(ji,jj) ) / z1_t2**2 ) |
---|
[14045] | 3180 | END_2D |
---|
| 3181 | ! z1_t2 = 1._wp / ( rn_osm_mle_time * rn_osm_mle_timeji,jj ) |
---|
| 3182 | ! r1_ft(:,:) = 1._wp / SQRT( ff_t(:,:) * ff_t(:,:) + z1_t2 ) |
---|
| 3183 | ! |
---|
[14802] | 3184 | END IF |
---|
| 3185 | ! |
---|
| 3186 | CALL osm_rst( nit000, Kmm, 'READ' ) ! Read or initialize hbl, dh, hmle |
---|
| 3187 | ! |
---|
| 3188 | IF ( ln_zdfddm ) THEN |
---|
[14571] | 3189 | IF(lwp) THEN |
---|
| 3190 | WRITE(numout,*) |
---|
| 3191 | WRITE(numout,*) ' Double diffusion mixing on temperature and salinity ' |
---|
| 3192 | WRITE(numout,*) ' CAUTION : done in routine zdfosm, not in routine zdfddm ' |
---|
[14802] | 3193 | END IF |
---|
| 3194 | END IF |
---|
| 3195 | ! |
---|
| 3196 | ! Set constants not in namelist |
---|
| 3197 | ! ----------------------------- |
---|
[14571] | 3198 | IF(lwp) THEN |
---|
| 3199 | WRITE(numout,*) |
---|
[14802] | 3200 | END IF |
---|
| 3201 | ! |
---|
| 3202 | dstokes(:,:) = pp_large |
---|
[14571] | 3203 | IF (nn_osm_wave == 0) THEN |
---|
| 3204 | dstokes(:,:) = rn_osm_dstokes |
---|
| 3205 | END IF |
---|
[14802] | 3206 | ! |
---|
[14571] | 3207 | ! Horizontal average : initialization of weighting arrays |
---|
| 3208 | ! ------------------- |
---|
| 3209 | SELECT CASE ( nn_ave ) |
---|
| 3210 | CASE ( 0 ) ! no horizontal average |
---|
| 3211 | IF(lwp) WRITE(numout,*) ' no horizontal average on avt' |
---|
| 3212 | IF(lwp) WRITE(numout,*) ' only in very high horizontal resolution !' |
---|
[14802] | 3213 | ! Weighting mean arrays etmean |
---|
[14571] | 3214 | ! ( 1 1 ) |
---|
| 3215 | ! avt = 1/4 ( 1 1 ) |
---|
| 3216 | ! |
---|
[14802] | 3217 | etmean(:,:,:) = 0.0_wp |
---|
| 3218 | ! |
---|
[14571] | 3219 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
---|
[14802] | 3220 | etmean(ji,jj,jk) = tmask(ji,jj,jk) / MAX( 1.0_wp, umask(ji-1,jj, jk) + umask(ji,jj,jk) + & |
---|
| 3221 | & vmask(ji, jj-1,jk) + vmask(ji,jj,jk) ) |
---|
[14571] | 3222 | END_3D |
---|
| 3223 | CASE ( 1 ) ! horizontal average |
---|
| 3224 | IF(lwp) WRITE(numout,*) ' horizontal average on avt' |
---|
[14802] | 3225 | ! Weighting mean arrays etmean |
---|
[14571] | 3226 | ! ( 1/2 1 1/2 ) |
---|
| 3227 | ! avt = 1/8 ( 1 2 1 ) |
---|
| 3228 | ! ( 1/2 1 1/2 ) |
---|
[14802] | 3229 | etmean(:,:,:) = 0.0_wp |
---|
| 3230 | ! |
---|
[14571] | 3231 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
---|
[14802] | 3232 | etmean(ji,jj,jk) = tmask(ji, jj,jk) / MAX( 1.0_wp, 2.0_wp * tmask(ji,jj,jk) + & |
---|
| 3233 | & 0.5_wp * ( tmask(ji-1,jj+1,jk) + tmask(ji-1,jj-1,jk) + & |
---|
| 3234 | & tmask(ji+1,jj+1,jk) + tmask(ji+1,jj-1,jk) ) + & |
---|
| 3235 | & 1.0_wp * ( tmask(ji-1,jj, jk) + tmask(ji, jj+1,jk) + & |
---|
| 3236 | & tmask(ji, jj-1,jk) + tmask(ji+1,jj, jk) ) ) |
---|
[14571] | 3237 | END_3D |
---|
| 3238 | CASE DEFAULT |
---|
| 3239 | WRITE(ctmp1,*) ' bad flag value for nn_ave = ', nn_ave |
---|
| 3240 | CALL ctl_stop( ctmp1 ) |
---|
| 3241 | END SELECT |
---|
[14802] | 3242 | ! |
---|
[14571] | 3243 | ! Initialization of vertical eddy coef. to the background value |
---|
| 3244 | ! ------------------------------------------------------------- |
---|
| 3245 | DO jk = 1, jpk |
---|
[14802] | 3246 | avt(:,:,jk) = avtb(jk) * tmask(:,:,jk) |
---|
[14571] | 3247 | END DO |
---|
[14802] | 3248 | ! |
---|
| 3249 | ! Zero the surface flux for non local term and osm mixed layer depth |
---|
[14571] | 3250 | ! ------------------------------------------------------------------ |
---|
[14802] | 3251 | ghamt(:,:,:) = 0.0_wp |
---|
| 3252 | ghams(:,:,:) = 0.0_wp |
---|
| 3253 | ghamu(:,:,:) = 0.0_wp |
---|
| 3254 | ghamv(:,:,:) = 0.0_wp |
---|
[14571] | 3255 | ! |
---|
[14816] | 3256 | IF ( ln_dia_osm ) osmdia2d(:,:) = 0.0_wp ! Initialise auxiliary array for diagnostic output |
---|
| 3257 | ! |
---|
[14571] | 3258 | IF( ln_timing ) CALL timing_stop('zdf_osm_init') |
---|
[14802] | 3259 | ! |
---|
[8930] | 3260 | END SUBROUTINE zdf_osm_init |
---|
| 3261 | |
---|
[12377] | 3262 | SUBROUTINE osm_rst( kt, Kmm, cdrw ) |
---|
[14571] | 3263 | !!--------------------------------------------------------------------- |
---|
| 3264 | !! *** ROUTINE osm_rst *** |
---|
| 3265 | !! |
---|
| 3266 | !! ** Purpose : Read or write BL fields in restart file |
---|
| 3267 | !! |
---|
| 3268 | !! ** Method : use of IOM library. If the restart does not contain |
---|
| 3269 | !! required fields, they are recomputed from stratification |
---|
[14802] | 3270 | !! |
---|
[14571] | 3271 | !!---------------------------------------------------------------------- |
---|
[14802] | 3272 | INTEGER , INTENT(in ) :: kt ! Ocean time step index |
---|
| 3273 | INTEGER , INTENT(in ) :: Kmm ! Ocean time level index (middle) |
---|
| 3274 | CHARACTER(len=*), INTENT(in ) :: cdrw ! "READ"/"WRITE" flag |
---|
[14571] | 3275 | ! |
---|
[14802] | 3276 | ! Local variables |
---|
| 3277 | INTEGER :: id1, id2, id3 ! iom enquiry index |
---|
| 3278 | INTEGER :: ji, jj, jk ! Dummy loop indices |
---|
| 3279 | INTEGER :: iiki, ikt ! Local integer |
---|
| 3280 | REAL(wp) :: zhbf ! Tempory scalars |
---|
| 3281 | REAL(wp) :: zN2_c ! Local scalar |
---|
| 3282 | REAL(wp) :: rho_c = 0.01_wp ! Density criterion for mixed layer depth |
---|
| 3283 | INTEGER, DIMENSION(jpi,jpj) :: imld_rst ! Level of mixed-layer depth (pycnocline top) |
---|
| 3284 | ! |
---|
[14571] | 3285 | IF( ln_timing ) CALL timing_start('osm_rst') |
---|
[14802] | 3286 | ! |
---|
[14571] | 3287 | !!----------------------------------------------------------------------------- |
---|
| 3288 | ! If READ/WRITE Flag is 'READ', try to get hbl from restart file. If successful then return |
---|
| 3289 | !!----------------------------------------------------------------------------- |
---|
[14802] | 3290 | IF( TRIM(cdrw) == 'READ' .AND. ln_rstart) THEN |
---|
| 3291 | id1 = iom_varid( numror, 'wn', ldstop = .FALSE. ) |
---|
| 3292 | IF( id1 > 0 ) THEN ! 'wn' exists; read |
---|
[14571] | 3293 | CALL iom_get( numror, jpdom_auto, 'wn', ww ) |
---|
| 3294 | WRITE(numout,*) ' ===>>>> : wn read from restart file' |
---|
| 3295 | ELSE |
---|
[14802] | 3296 | ww(:,:,:) = 0.0_wp |
---|
[14571] | 3297 | WRITE(numout,*) ' ===>>>> : wn not in restart file, set to zero initially' |
---|
| 3298 | END IF |
---|
[14802] | 3299 | ! |
---|
| 3300 | id1 = iom_varid( numror, 'hbl', ldstop = .FALSE. ) |
---|
| 3301 | id2 = iom_varid( numror, 'dh', ldstop = .FALSE. ) |
---|
| 3302 | IF( id1 > 0 .AND. id2 > 0 ) THEN ! 'hbl' exists; read and return |
---|
| 3303 | CALL iom_get( numror, jpdom_auto, 'hbl', hbl ) |
---|
| 3304 | CALL iom_get( numror, jpdom_auto, 'dh', dh ) |
---|
[14760] | 3305 | hml(:,:) = hbl(:,:) - dh(:,:) ! Initialise ML depth |
---|
[14571] | 3306 | WRITE(numout,*) ' ===>>>> : hbl & dh read from restart file' |
---|
| 3307 | IF( ln_osm_mle ) THEN |
---|
[14802] | 3308 | id3 = iom_varid( numror, 'hmle', ldstop = .FALSE. ) |
---|
| 3309 | IF( id3 > 0 ) THEN |
---|
| 3310 | CALL iom_get( numror, jpdom_auto, 'hmle', hmle ) |
---|
[14571] | 3311 | WRITE(numout,*) ' ===>>>> : hmle read from restart file' |
---|
| 3312 | ELSE |
---|
| 3313 | WRITE(numout,*) ' ===>>>> : hmle not found, set to hbl' |
---|
[14802] | 3314 | hmle(:,:) = hbl(:,:) ! Initialise MLE depth |
---|
[14571] | 3315 | END IF |
---|
| 3316 | END IF |
---|
| 3317 | RETURN |
---|
[14802] | 3318 | ELSE ! 'hbl' & 'dh' not in restart file, recalculate |
---|
[14571] | 3319 | WRITE(numout,*) ' ===>>>> : previous run without osmosis scheme, hbl computed from stratification' |
---|
| 3320 | END IF |
---|
| 3321 | END IF |
---|
[14802] | 3322 | ! |
---|
[14571] | 3323 | !!----------------------------------------------------------------------------- |
---|
| 3324 | ! If READ/WRITE Flag is 'WRITE', write hbl into the restart file, then return |
---|
| 3325 | !!----------------------------------------------------------------------------- |
---|
[14802] | 3326 | IF ( TRIM(cdrw) == 'WRITE' ) THEN |
---|
[14571] | 3327 | IF(lwp) WRITE(numout,*) '---- osm-rst ----' |
---|
[14802] | 3328 | CALL iom_rstput( kt, nitrst, numrow, 'wn', ww ) |
---|
| 3329 | CALL iom_rstput( kt, nitrst, numrow, 'hbl', hbl ) |
---|
| 3330 | CALL iom_rstput( kt, nitrst, numrow, 'dh', dh ) |
---|
| 3331 | IF ( ln_osm_mle ) THEN |
---|
[14045] | 3332 | CALL iom_rstput( kt, nitrst, numrow, 'hmle', hmle ) |
---|
| 3333 | END IF |
---|
[14571] | 3334 | RETURN |
---|
| 3335 | END IF |
---|
[14802] | 3336 | ! |
---|
[14571] | 3337 | !!----------------------------------------------------------------------------- |
---|
| 3338 | ! Getting hbl, no restart file with hbl, so calculate from surface stratification |
---|
| 3339 | !!----------------------------------------------------------------------------- |
---|
| 3340 | IF( lwp ) WRITE(numout,*) ' ===>>>> : calculating hbl computed from stratification' |
---|
| 3341 | ! w-level of the mixing and mixed layers |
---|
| 3342 | CALL eos_rab( ts(:,:,:,:,Kmm), rab_n, Kmm ) |
---|
[14802] | 3343 | CALL bn2( ts(:,:,:,:,Kmm), rab_n, rn2, Kmm ) |
---|
| 3344 | imld_rst(:,:) = nlb10 ! Initialization to the number of w ocean point |
---|
| 3345 | hbl(:,:) = 0.0_wp ! Here hbl used as a dummy variable, integrating vertically N^2 |
---|
| 3346 | zN2_c = grav * rho_c * r1_rho0 ! Convert density criteria into N^2 criteria |
---|
[14571] | 3347 | ! |
---|
[14802] | 3348 | hbl(:,:) = 0.0_wp ! Here hbl used as a dummy variable, integrating vertically N^2 |
---|
[14571] | 3349 | DO_3D( 1, 1, 1, 1, 1, jpkm1 ) |
---|
| 3350 | ikt = mbkt(ji,jj) |
---|
[14802] | 3351 | hbl(ji,jj) = hbl(ji,jj) + MAX( rn2(ji,jj,jk) , 0.0_wp ) * e3w(ji,jj,jk,Kmm) |
---|
| 3352 | IF ( hbl(ji,jj) < zN2_c ) imld_rst(ji,jj) = MIN( jk , ikt ) + 1 ! Mixed layer level |
---|
[14571] | 3353 | END_3D |
---|
| 3354 | ! |
---|
| 3355 | DO_2D( 1, 1, 1, 1 ) |
---|
[14802] | 3356 | iiki = MAX( 4, imld_rst(ji,jj) ) |
---|
| 3357 | hbl(ji,jj) = gdepw(ji,jj,iiki,Kmm ) ! Turbocline depth |
---|
| 3358 | dh(ji,jj) = e3t(ji,jj,iiki-1,Kmm ) ! Turbocline depth |
---|
[14734] | 3359 | hml(ji,jj) = hbl(ji,jj) - dh(ji,jj) |
---|
[14571] | 3360 | END_2D |
---|
[14802] | 3361 | ! |
---|
[14571] | 3362 | WRITE(numout,*) ' ===>>>> : hbl computed from stratification' |
---|
[14802] | 3363 | ! |
---|
[14571] | 3364 | IF( ln_osm_mle ) THEN |
---|
| 3365 | hmle(:,:) = hbl(:,:) ! Initialise MLE depth. |
---|
| 3366 | WRITE(numout,*) ' ===>>>> : hmle set = to hbl' |
---|
| 3367 | END IF |
---|
[14802] | 3368 | ! |
---|
[14571] | 3369 | ww(:,:,:) = 0._wp |
---|
| 3370 | WRITE(numout,*) ' ===>>>> : wn not in restart file, set to zero initially' |
---|
[14802] | 3371 | ! |
---|
[14571] | 3372 | IF( ln_timing ) CALL timing_stop('osm_rst') |
---|
[14802] | 3373 | ! |
---|
[8930] | 3374 | END SUBROUTINE osm_rst |
---|
| 3375 | |
---|
[12377] | 3376 | SUBROUTINE tra_osm( kt, Kmm, pts, Krhs ) |
---|
[8930] | 3377 | !!---------------------------------------------------------------------- |
---|
| 3378 | !! *** ROUTINE tra_osm *** |
---|
| 3379 | !! |
---|
| 3380 | !! ** Purpose : compute and add to the tracer trend the non-local tracer flux |
---|
| 3381 | !! |
---|
| 3382 | !! ** Method : ??? |
---|
[14802] | 3383 | !! |
---|
[8930] | 3384 | !!---------------------------------------------------------------------- |
---|
[14802] | 3385 | INTEGER , INTENT(in ) :: kt ! Time step index |
---|
| 3386 | INTEGER , INTENT(in ) :: Kmm, Krhs ! Time level indices |
---|
| 3387 | REAL(wp), DIMENSION(jpi,jpj,jpk,jpts,jpt), INTENT(inout) :: pts ! Active tracers and RHS of tracer equation |
---|
| 3388 | ! |
---|
| 3389 | ! Local variables |
---|
| 3390 | INTEGER :: ji, jj, jk |
---|
[8930] | 3391 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: ztrdt, ztrds ! 3D workspace |
---|
[12377] | 3392 | ! |
---|
[14802] | 3393 | IF( ln_timing ) CALL timing_start('tra_osm') |
---|
[8930] | 3394 | ! |
---|
[14802] | 3395 | IF ( kt == nit000 ) THEN |
---|
| 3396 | IF ( ntile == 0 .OR. ntile == 1 ) THEN ! Do only on the first tile |
---|
[13982] | 3397 | IF(lwp) WRITE(numout,*) |
---|
| 3398 | IF(lwp) WRITE(numout,*) 'tra_osm : OSM non-local tracer fluxes' |
---|
| 3399 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
---|
[14802] | 3400 | END IF |
---|
| 3401 | END IF |
---|
| 3402 | ! |
---|
| 3403 | IF ( l_trdtra ) THEN ! Save ta and sa trends |
---|
| 3404 | ALLOCATE( ztrdt(jpi,jpj,jpk), ztrds(jpi,jpj,jpk) ) |
---|
| 3405 | ztrdt(:,:,:) = pts(:,:,:,jp_tem,Krhs) |
---|
| 3406 | ztrds(:,:,:) = pts(:,:,:,jp_sal,Krhs) |
---|
| 3407 | END IF |
---|
| 3408 | ! |
---|
[13295] | 3409 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
---|
[12377] | 3410 | pts(ji,jj,jk,jp_tem,Krhs) = pts(ji,jj,jk,jp_tem,Krhs) & |
---|
| 3411 | & - ( ghamt(ji,jj,jk ) & |
---|
| 3412 | & - ghamt(ji,jj,jk+1) ) /e3t(ji,jj,jk,Kmm) |
---|
| 3413 | pts(ji,jj,jk,jp_sal,Krhs) = pts(ji,jj,jk,jp_sal,Krhs) & |
---|
| 3414 | & - ( ghams(ji,jj,jk ) & |
---|
| 3415 | & - ghams(ji,jj,jk+1) ) / e3t(ji,jj,jk,Kmm) |
---|
| 3416 | END_3D |
---|
[14802] | 3417 | ! |
---|
| 3418 | IF ( l_trdtra ) THEN ! Save the non-local tracer flux trends for diagnostics |
---|
[12377] | 3419 | ztrdt(:,:,:) = pts(:,:,:,jp_tem,Krhs) - ztrdt(:,:,:) |
---|
| 3420 | ztrds(:,:,:) = pts(:,:,:,jp_sal,Krhs) - ztrds(:,:,:) |
---|
[14045] | 3421 | CALL trd_tra( kt, Kmm, Krhs, 'TRA', jp_tem, jptra_osm, ztrdt ) |
---|
| 3422 | CALL trd_tra( kt, Kmm, Krhs, 'TRA', jp_sal, jptra_osm, ztrds ) |
---|
[14802] | 3423 | DEALLOCATE( ztrdt, ztrds ) |
---|
| 3424 | END IF |
---|
| 3425 | ! |
---|
| 3426 | IF ( sn_cfctl%l_prtctl ) THEN |
---|
[12377] | 3427 | CALL prt_ctl( tab3d_1=pts(:,:,:,jp_tem,Krhs), clinfo1=' osm - Ta: ', mask1=tmask, & |
---|
[14802] | 3428 | & tab3d_2=pts(:,:,:,jp_sal,Krhs), clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra' ) |
---|
| 3429 | END IF |
---|
[8930] | 3430 | ! |
---|
[14149] | 3431 | IF( ln_timing ) CALL timing_stop('tra_osm') |
---|
[14802] | 3432 | ! |
---|
[8930] | 3433 | END SUBROUTINE tra_osm |
---|
| 3434 | |
---|
[14802] | 3435 | SUBROUTINE trc_osm( kt ) ! Dummy routine |
---|
[8930] | 3436 | !!---------------------------------------------------------------------- |
---|
| 3437 | !! *** ROUTINE trc_osm *** |
---|
| 3438 | !! |
---|
| 3439 | !! ** Purpose : compute and add to the passive tracer trend the non-local |
---|
| 3440 | !! passive tracer flux |
---|
| 3441 | !! |
---|
| 3442 | !! |
---|
| 3443 | !! ** Method : ??? |
---|
[14802] | 3444 | !! |
---|
[8930] | 3445 | !!---------------------------------------------------------------------- |
---|
[14802] | 3446 | INTEGER, INTENT(in) :: kt |
---|
[8946] | 3447 | ! |
---|
[14149] | 3448 | IF( ln_timing ) CALL timing_start('trc_osm') |
---|
[14802] | 3449 | ! |
---|
[8930] | 3450 | WRITE(*,*) 'trc_osm: Not written yet', kt |
---|
[14802] | 3451 | ! |
---|
[14149] | 3452 | IF( ln_timing ) CALL timing_stop('trc_osm') |
---|
[14802] | 3453 | ! |
---|
[8930] | 3454 | END SUBROUTINE trc_osm |
---|
| 3455 | |
---|
[12377] | 3456 | SUBROUTINE dyn_osm( kt, Kmm, puu, pvv, Krhs ) |
---|
[8930] | 3457 | !!---------------------------------------------------------------------- |
---|
| 3458 | !! *** ROUTINE dyn_osm *** |
---|
| 3459 | !! |
---|
| 3460 | !! ** Purpose : compute and add to the velocity trend the non-local flux |
---|
| 3461 | !! copied/modified from tra_osm |
---|
| 3462 | !! |
---|
| 3463 | !! ** Method : ??? |
---|
[14802] | 3464 | !! |
---|
[8930] | 3465 | !!---------------------------------------------------------------------- |
---|
[14802] | 3466 | INTEGER , INTENT(in ) :: kt ! Ocean time step index |
---|
| 3467 | INTEGER , INTENT(in ) :: Kmm, Krhs ! Ocean time level indices |
---|
| 3468 | REAL(wp), DIMENSION(jpi,jpj,jpk,jpt), INTENT(inout) :: puu, pvv ! Ocean velocities and RHS of momentum equation |
---|
[8946] | 3469 | ! |
---|
| 3470 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
[8930] | 3471 | !!---------------------------------------------------------------------- |
---|
| 3472 | ! |
---|
[14149] | 3473 | IF( ln_timing ) CALL timing_start('dyn_osm') |
---|
[14802] | 3474 | ! |
---|
| 3475 | IF ( kt == nit000 ) THEN |
---|
[8930] | 3476 | IF(lwp) WRITE(numout,*) |
---|
| 3477 | IF(lwp) WRITE(numout,*) 'dyn_osm : OSM non-local velocity' |
---|
| 3478 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
---|
[14802] | 3479 | END IF |
---|
| 3480 | ! |
---|
| 3481 | ! Code saving tracer trends removed, replace with trdmxl_oce |
---|
| 3482 | ! |
---|
| 3483 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) ! Add non-local u and v fluxes |
---|
| 3484 | puu(ji,jj,jk,Krhs) = puu(ji,jj,jk,Krhs) - ( ghamu(ji,jj,jk ) - & |
---|
| 3485 | & ghamu(ji,jj,jk+1) ) / e3u(ji,jj,jk,Kmm) |
---|
| 3486 | pvv(ji,jj,jk,Krhs) = pvv(ji,jj,jk,Krhs) - ( ghamv(ji,jj,jk ) - & |
---|
| 3487 | & ghamv(ji,jj,jk+1) ) / e3v(ji,jj,jk,Kmm) |
---|
[12377] | 3488 | END_3D |
---|
[9089] | 3489 | ! |
---|
[14802] | 3490 | ! Code for saving tracer trends removed |
---|
[8930] | 3491 | ! |
---|
[14149] | 3492 | IF( ln_timing ) CALL timing_stop('dyn_osm') |
---|
[14802] | 3493 | ! |
---|
[8930] | 3494 | END SUBROUTINE dyn_osm |
---|
| 3495 | |
---|
[8946] | 3496 | !!====================================================================== |
---|
[14045] | 3497 | |
---|
[8930] | 3498 | END MODULE zdfosm |
---|