| 1 | MODULE zdfkpp |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE zdfkpp *** |
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| 4 | !! Ocean physics: vertical mixing coefficient compute from the KPP |
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| 5 | !! turbulent closure parameterization |
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| 6 | !!===================================================================== |
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| 7 | #if defined key_zdfkpp || defined key_esopa |
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| 8 | !!---------------------------------------------------------------------- |
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| 9 | !! 'key_zdfkpp' KPP scheme |
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| 10 | !!---------------------------------------------------------------------- |
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| 11 | !! zdf_kpp : update momentum and tracer Kz from a kpp scheme |
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| 12 | !! zdf_kpp_init : initialization, namelist read, and parameters control |
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| 13 | !!---------------------------------------------------------------------- |
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| 14 | !! * Modules used |
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| 15 | USE oce ! ocean dynamics and active tracers |
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| 16 | USE dom_oce ! ocean space and time domain |
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| 17 | USE zdf_oce ! ocean vertical physics |
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| 18 | USE phycst ! physical constants |
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| 19 | USE taumod ! surface stress |
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| 20 | USE eosbn2 ! equation of state |
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| 21 | USE ocesbc ! thermohaline fluxes |
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| 22 | USE zdfddm ! double diffusion mixing |
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| 23 | USE in_out_manager ! I/O manager |
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| 24 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 25 | USE prtctl ! Print control |
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| 26 | |
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| 27 | IMPLICIT NONE |
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| 28 | PRIVATE |
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| 29 | |
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| 30 | !! * Routine accessibility |
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| 31 | PUBLIC zdf_kpp ! routine called by step.F90 |
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| 32 | PUBLIC tra_kpp ! routine called by step.F90 |
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| 33 | |
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| 34 | !! * Share Module variables |
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| 35 | LOGICAL, PUBLIC, PARAMETER :: & |
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| 36 | lk_zdfkpp = .TRUE. !: KPP vertical mixing flag |
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| 37 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: & |
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| 38 | ghats ! non-local scalar mixing term (gamma/<ws>o) |
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| 39 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj) :: & |
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| 40 | wt0 , & ! surface temperature flux for non local flux |
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| 41 | ws0 , & ! surface salinity flux for non local flux |
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| 42 | hkpp ! boundary layer depht |
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| 43 | !! * Module variables |
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| 44 | INTEGER :: & !!! ** kpp namelist (namkpp) ** |
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| 45 | nave = 1 , & ! = 0/1 flag for horizontal average on avt, avmu, avmv |
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| 46 | navb = 0 ! = 0/1 flag for constant or profile background avt |
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| 47 | |
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| 48 | REAL(wp) :: & !!! ** Interior Mixing |
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| 49 | difmiw = 1.2e-04_wp , & ! constant internal wave viscosity (m2/s) |
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| 50 | difsiw = 1.2e-05_wp , & ! constant internal wave diffusivity (m2/s) |
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| 51 | Riinfty = 0.8_wp , & ! local Richardson Number limit for shear instability |
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| 52 | difri = 5.e-03_wp , & ! maximum shear mixing at Rig = 0 (m2/s) |
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| 53 | bvsqcon = -1.e-09_wp , & ! Brunt-Vaisala squared (1/s**2) for maximum convection |
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| 54 | difcon = 1._wp ! maximum mixing in interior convection (m2/s) |
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| 55 | #if defined key_zdfddm |
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| 56 | REAL(wp) :: & !!! ** Double diffusion Mixing |
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| 57 | difssf = 1.e-03_wp , & ! maximum salt fingering mixing |
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| 58 | Rrho0 = 1.9_wp , & ! limit for salt fingering mixing |
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| 59 | difsdc = 1.5e-06_wp ! maximum diffusive convection mixing |
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| 60 | #endif |
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| 61 | LOGICAL :: & |
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| 62 | ln_kpprimix = .TRUE. ! Shear instability mixing |
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| 63 | |
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| 64 | REAL(wp) :: & !!! ** General constants ** |
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| 65 | epsln = 1.0e-20_wp , & ! a small positive number |
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| 66 | pthird = 1._wp/3._wp , & ! 1/3 |
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| 67 | pfourth = 1._wp/4._wp ! 1/4 |
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| 68 | |
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| 69 | REAL(wp) :: & !!! ** Boundary Layer Turbulence Parameters ** |
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| 70 | vonk = 0.4_wp , & ! von Karman's constant |
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| 71 | epsilon = 0.1_wp , & ! nondimensional extent of the surface layer |
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| 72 | rconc1 = 5.0_wp , & ! standard flux profile function parmaeters |
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| 73 | rconc2 = 16.0_wp , & ! " " |
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| 74 | rconcm = 8.38_wp , & ! momentum flux profile fit |
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| 75 | rconam = 1.26_wp , & ! " " |
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| 76 | rzetam = -.20_wp , & ! " " |
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| 77 | rconcs = 98.96_wp , & ! scalar flux profile fit |
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| 78 | rconas = -28.86_wp , & ! " " |
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| 79 | rzetas = -1.0_wp ! " " |
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| 80 | REAL(wp) :: & !!! ** Boundary Layer Depth Diagnostic ** |
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| 81 | Ricr = 0.3_wp , & ! critical bulk Richardson Number |
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| 82 | rcekman = 0.7_wp , & ! coefficient for ekman depth |
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| 83 | rcmonob = 1.0_wp , & ! coefficient for Monin-Obukhov depth |
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| 84 | rconcv = 1.7_wp , & ! ratio of interior buoyancy frequency to buoyancy frequency at entrainment depth |
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| 85 | hbf = 1.0_wp , & ! fraction of bound. layer depth to which absorbed solar |
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| 86 | ! ! rad. and contributes to surf. buo. forcing |
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| 87 | Vtc ! function of rconcv,rconcs,epsilon,vonk,Ricr |
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| 88 | REAL(wp) :: & !!! ** Nonlocal Boundary Layer Mixing ** |
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| 89 | rcstar = 5.0_wp , & ! coefficient for convective nonlocal transport |
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| 90 | rcs = 1.0e-3_wp , & ! conversion: mm/s ==> m/s |
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| 91 | rcg ! non-dimensional coefficient for nonlocal transport |
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| 92 | |
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| 93 | #if ! defined key_kppcustom |
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| 94 | REAL(wp), DIMENSION(jpk,jpk) :: & |
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| 95 | del ! array for reference mean values of vertical integration |
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| 96 | #endif |
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| 97 | |
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| 98 | #if defined key_kpplktb |
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| 99 | INTEGER, PARAMETER :: & !!! ** Parameters for lookup table for turbulent velocity scales ** |
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| 100 | nilktb = 892 , & ! number of values for zehat in KPP lookup table |
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| 101 | njlktb = 482 , & ! number of values for ustar in KPP lookup table |
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| 102 | nilktbm1 = nilktb - 1 , & ! |
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| 103 | njlktbm1 = njlktb - 1 ! |
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| 104 | |
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| 105 | REAL(wp), DIMENSION(nilktb,njlktb) :: & |
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| 106 | wmlktb , & ! lookup table for the turbulent vertical velocity scale for momentum |
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| 107 | wslktb ! lookup table for the turbulent vertical velocity scale for tracers |
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| 108 | |
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| 109 | REAL(wp) :: & |
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| 110 | dehatmin = -4.e-7_wp , & ! minimum limit for zhat in lookup table (m3/s3) |
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| 111 | dehatmax = 0._wp , & ! maximum limit for zhat in lookup table (m3/s3) |
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| 112 | ustmin = 0._wp , & ! minimum limit for ustar in lookup table (m/s) |
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| 113 | ustmax = 0.04_wp , & ! maximum limit for ustar in lookup table (m/s) |
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| 114 | dezehat , & ! delta zhat in lookup table |
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| 115 | deustar ! delta ustar in lookup table |
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| 116 | #endif |
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| 117 | REAL(wp), DIMENSION(jpk) :: & !!! attenuation coef |
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| 118 | ratt |
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| 119 | !! already defines in module traqsr, but only if the solar radiation penetration is considered |
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| 120 | REAL(wp) :: & !!! * penetrative solar radiation coefficient * |
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| 121 | rabs = 0.58_wp , & ! fraction associated with xsi1 |
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| 122 | xsi1 = 0.35_wp , & ! first depth of extinction |
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| 123 | xsi2 = 23.0_wp ! second depth of extinction |
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| 124 | ! ! (default values: water type Ib) |
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| 125 | |
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| 126 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
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| 127 | etmean , & ! coefficient used for horizontal smoothing |
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| 128 | eumean , & ! at t-, u- and v-points |
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| 129 | evmean |
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| 130 | |
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| 131 | #if defined key_cfg_1d |
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| 132 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: & |
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| 133 | rig , & ! gradient Richardson number |
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| 134 | rib , & ! bulk Richardson number |
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| 135 | buof , & ! buoyancy forcing |
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| 136 | mols ! moning-Obukhov length scale |
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| 137 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj) :: & |
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| 138 | ekdp ! Ekman depth |
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| 139 | #endif |
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| 140 | |
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| 141 | INTEGER :: & ! |
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| 142 | jip = 62 , jjp = 111 |
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| 143 | |
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| 144 | !! * Substitutions |
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| 145 | # include "domzgr_substitute.h90" |
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| 146 | # include "vectopt_loop_substitute.h90" |
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| 147 | !!---------------------------------------------------------------------- |
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| 148 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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| 149 | !! $Header$ |
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| 150 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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| 151 | !!---------------------------------------------------------------------- |
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| 152 | |
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| 153 | CONTAINS |
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| 154 | |
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| 155 | |
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| 156 | SUBROUTINE zdf_kpp ( kt ) |
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| 157 | !!---------------------------------------------------------------------- |
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| 158 | !! *** ROUTINE zdf_kpp *** |
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| 159 | !! |
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| 160 | !! ** Purpose : Compute the vertical eddy viscosity and diffusivity |
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| 161 | !! coefficients and non local mixing using K-profile parameterization |
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| 162 | !! |
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| 163 | !! ** Method : The boundary layer depth hkpp is diagnosed at tracer points |
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| 164 | !! from profiles of buoyancy, and shear, and the surface forcing. |
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| 165 | !! Above hbl (sigma=-z/hbl <1) the mixing coefficients are computed from |
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| 166 | !! |
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| 167 | !! Kx = hkpp Wx(sigma) G(sigma) |
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| 168 | !! |
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| 169 | !! and the non local term ghat = Cs / Ws(sigma) / hkpp |
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| 170 | !! Below hkpp the coefficients are the sum of mixing due to internal waves |
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| 171 | !! shear instability and double diffusion. |
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| 172 | !! |
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| 173 | !! -1- Compute the now interior vertical mixing coefficients at all depths. |
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| 174 | !! -2- Diagnose the boundary layer depth. |
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| 175 | !! -3- Compute the now boundary layer vertical mixing coefficients. |
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| 176 | !! -4- Compute the now vertical eddy vicosity and diffusivity. |
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| 177 | !! -5- Smoothing |
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| 178 | !! |
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| 179 | !! N.B. The computation is done from jk=2 to jpkm1 |
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| 180 | !! Surface value of avt avmu avmv are set once a time to zero |
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| 181 | !! in routine zdf_kpp_init. |
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| 182 | !! |
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| 183 | !! ** Action : update the non-local terms ghats |
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| 184 | !! update avt, avmu, avmv (before vertical eddy coef.) |
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| 185 | !! |
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| 186 | !! References : |
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| 187 | !! Large W.G., Mc Williams J.C. and Doney S.C. |
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| 188 | !! Reviews of Geophysics, 32, 4, November 1994 |
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| 189 | !! Comments in the code refer to this paper, particularly |
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| 190 | !! the equation number. (LMD94, here after) |
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| 191 | !! |
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| 192 | !! Modifications : |
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| 193 | !! -------------- |
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| 194 | !! original : 00-03 (LARGE W.G.) |
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| 195 | !! additions : 00-04 (CHANUT J.) |
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| 196 | !! : 02-06 (MOLINES J.M. for real case CLIPPER) |
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| 197 | !! : 03-10 (CHANUT J.) |
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| 198 | !! |
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| 199 | !! History : |
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| 200 | !! 8.1 ! 00-03 (J. Chanut) Original code |
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| 201 | !! 8.1 ! 00-04 (J.M. Molines) for real case CLIPPER |
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| 202 | !! 9.0 ! 05-01 (C. Ethe) Free form, F90 |
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| 203 | !!---------------------------------------------------------------------- |
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| 204 | !! * Modules used |
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| 205 | #if defined key_zdfddm |
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| 206 | USE oce , zviscos => ua, & ! temp. array for viscosities use ua as workspace |
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| 207 | & zdiffut => ta, & ! temp. array for diffusivities use sa as workspace |
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| 208 | & zdiffus => sa ! temp. array for diffusivities use sa as workspace |
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| 209 | #else |
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| 210 | USE oce , zviscos => ua, & ! temp. array for viscosities use ua as workspace |
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| 211 | & zdiffut => ta ! temp. array for diffusivities use sa as workspace |
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| 212 | #endif |
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| 213 | |
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| 214 | |
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| 215 | !! * arguments |
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| 216 | INTEGER, INTENT( in ) :: & |
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| 217 | kt ! ocean time step |
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| 218 | |
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| 219 | !! * local declarations |
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| 220 | INTEGER :: & |
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| 221 | ji, jj, jk ! dummy loop indices |
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| 222 | INTEGER :: & ! |
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| 223 | ikbot, jkmax, jkm1, jkp2 ! |
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| 224 | |
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| 225 | REAL(wp), DIMENSION(jpi,jpj) :: & !!! Surface buoyancy forcing, friction velocity |
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| 226 | zBo, zBosol, zustar ! |
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| 227 | ! |
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| 228 | REAL(wp) :: & ! |
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| 229 | ztx, zty, ztau, zflageos, & ! |
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| 230 | zstabl, zbuofdep,zucube, & ! |
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| 231 | zrhos, zalbet, zbeta, & ! |
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| 232 | zthermal, zhalin, zatt1 ! |
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| 233 | |
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| 234 | REAL(wp) :: & !!! Bulk richardson number |
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| 235 | zref, zt, zs, zh, & ! |
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| 236 | zu, zv, zrh, & ! |
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| 237 | zrib, zrinum, & ! |
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| 238 | zdVsq, zVtsq ! |
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| 239 | |
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| 240 | REAL(wp) :: & !!! Velocity scales |
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| 241 | zehat, zeta, zhrib, zsig, & ! |
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| 242 | zscale, zwst, zws, zwm |
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| 243 | |
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| 244 | #if defined key_kpplktb |
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| 245 | INTEGER :: & !!! Lookup table or Analytical functions |
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| 246 | il, jl ! |
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| 247 | REAL(wp) :: & ! |
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| 248 | ud, zfrac, ufrac, & ! |
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| 249 | zwam, zwbm, zwas, zwbs ! |
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| 250 | #else |
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| 251 | REAL(wp) :: & ! |
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| 252 | zwsun, zwmun, & |
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| 253 | zcons, zconm, zwcons, zwconm ! |
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| 254 | #endif |
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| 255 | |
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| 256 | REAL(wp) :: & !!! In situ density |
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| 257 | zsr, zbw, ze, & ! |
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| 258 | zb, zd, zc, zaw, za, & ! |
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| 259 | zb1, za1, zkw, zk0, & ! |
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| 260 | zcomp , zrhd, zrhdr,zbvzed ! |
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| 261 | |
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| 262 | #if ! defined key_kppcustom |
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| 263 | !! * local declarations |
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| 264 | INTEGER :: & |
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| 265 | jm ! dummy loop indices |
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| 266 | REAL(wp) :: & !!! Compression terms |
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| 267 | zr1, zr2, zr3, zr4, & ! |
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| 268 | zrhop ! |
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| 269 | #endif |
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| 270 | |
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| 271 | REAL(wp) :: & ! |
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| 272 | zflag, ztemp, zrn2, & ! |
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| 273 | zdep21, zdep32, zdep43 |
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| 274 | |
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| 275 | REAL(wp) :: & !!! Interior richardson mixing |
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| 276 | zdku2, zdkv2, ze3sqr, & ! |
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| 277 | zsh2, zri, zfri ! |
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| 278 | |
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| 279 | REAL(wp), DIMENSION(jpi,0:2) :: & !!! Moning-Obukov limitation |
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| 280 | zmoek |
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| 281 | REAL(wp), DIMENSION(jpi) :: & |
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| 282 | zmoa, zekman |
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| 283 | REAL(wp) :: & |
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| 284 | zmob, zek |
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| 285 | |
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| 286 | REAL(wp), DIMENSION(jpi,4) :: & !!! The pipe |
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| 287 | zdepw, zdift, zvisc |
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| 288 | REAL(wp), DIMENSION(jpi,3) :: & |
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| 289 | zdept |
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| 290 | REAL(wp), DIMENSION(jpi,2) :: & |
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| 291 | zriblk |
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| 292 | REAL(wp), DIMENSION(jpi,jpk) :: & ! |
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| 293 | zmask |
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| 294 | REAL(wp), DIMENSION(jpi) :: & ! |
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| 295 | zhmax, zria, zhbl |
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| 296 | REAL(wp) :: & ! |
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| 297 | zflagri, zflagek, & ! |
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| 298 | zflagmo, zflagh, zflagkb ! |
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| 299 | REAL(wp), DIMENSION(jpi) :: & !!! Shape function (G) |
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| 300 | za2m, za3m, zkmpm, & |
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| 301 | za2t, za3t, zkmpt |
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| 302 | REAL(wp) :: & ! |
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| 303 | zdelta, zdelta2, & ! |
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| 304 | zdzup, zdzdn, zdzh, & ! |
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| 305 | zvath, zgat1, zdat1, & ! |
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| 306 | zkm1m, zkm1t |
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| 307 | REAL(wp), DIMENSION(jpi,jpk) :: & !!! Boundary layer diffusivities/viscosities |
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| 308 | zblcm, zblct |
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| 309 | #if defined key_zdfddm |
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| 310 | REAL(wp) :: & !!! double diffusion mixing |
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| 311 | zrrau, zds, & |
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| 312 | zavdds, zavddt,zinr |
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| 313 | REAL(wp), DIMENSION(jpi,4) :: & |
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| 314 | zdifs |
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| 315 | REAL(wp), DIMENSION(jpi) :: & |
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| 316 | za2s, za3s, zkmps |
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| 317 | REAL(wp) :: & |
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| 318 | zkm1s |
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| 319 | REAL(wp), DIMENSION(jpi,jpk) :: & |
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| 320 | zblcs |
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| 321 | #endif |
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| 322 | !!-------------------------------------------------------------------- |
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| 323 | |
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| 324 | |
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| 325 | ! Initialization (first time-step only) |
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| 326 | ! -------------- |
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| 327 | IF( kt == nit000 ) CALL zdf_kpp_init |
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| 328 | |
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| 329 | zviscos(:,:,:) = 0. |
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| 330 | zblcm (:,: ) = 0. |
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| 331 | zdiffut(:,:,:) = 0. |
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| 332 | zblct (:,: ) = 0. |
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| 333 | #if defined key_zdfddm |
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| 334 | zdiffus(:,:,:) = 0. |
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| 335 | zblcs (:,: ) = 0. |
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| 336 | #endif |
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| 337 | ghats(:,:,:) = 0. |
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| 338 | |
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| 339 | zBo (:,:) = 0. |
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| 340 | zBosol(:,:) = 0. |
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| 341 | zustar(:,:) = 0. |
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| 342 | |
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| 343 | |
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| 344 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
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| 345 | ! I. Interior diffusivity and viscosity at w points ( T interfaces) |
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| 346 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 347 | DO jk = 2, jpkm1 |
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| 348 | DO jj = 2, jpjm1 |
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| 349 | DO ji = fs_2, fs_jpim1 |
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| 350 | ! Mixing due to internal waves breaking |
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| 351 | ! ------------------------------------- |
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| 352 | avmu(ji,jj,jk) = difmiw |
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| 353 | avt (ji,jj,jk) = difsiw |
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| 354 | ! Mixing due to vertical shear instability |
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| 355 | ! ------------------------------------- |
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| 356 | IF( ln_kpprimix ) THEN |
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| 357 | ! Compute the gradient Richardson number at interfaces (zri): |
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| 358 | ! LMD94, eq. 27 (is vertical smoothing needed : Rig=N^2 / (dz(u))^2 + (dz(v))^2 |
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| 359 | zdku2 = ( un(ji - 1,jj,jk - 1) - un(ji - 1,jj,jk) ) & |
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| 360 | & * ( un(ji - 1,jj,jk - 1) - un(ji - 1,jj,jk) ) & |
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| 361 | & + ( un(ji ,jj,jk - 1) - un(ji ,jj,jk) ) & |
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| 362 | & * ( un(ji ,jj,jk - 1) - un(ji ,jj,jk) ) |
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| 363 | |
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| 364 | zdkv2 = ( vn(ji,jj - 1,jk - 1) - vn(ji,jj - 1,jk) ) & |
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| 365 | & * ( vn(ji,jj - 1,jk - 1) - vn(ji,jj - 1,jk) ) & |
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| 366 | & + ( vn(ji, jj,jk - 1) - vn(ji, jj,jk) ) & |
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| 367 | & * ( vn(ji, jj,jk - 1) - vn(ji, jj,jk) ) |
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| 368 | |
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| 369 | ze3sqr = 1. / ( fse3w(ji,jj,jk) * fse3w(ji,jj,jk) ) |
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| 370 | ! Square of vertical shear at interfaces |
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| 371 | zsh2 = 0.5 * 0.5 * ( zdku2 + zdkv2 ) * ze3sqr |
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| 372 | zri = MAX( rn2(ji,jj,jk), 0. ) / ( zsh2 + epsln ) |
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| 373 | #if defined key_cfg_1d |
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| 374 | ! save the gradient richardson number |
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| 375 | rig(ji,jj,jk) = zri * tmask(ji,jj,jk) |
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| 376 | #endif |
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| 377 | ! Evaluate f of Ri (zri) for shear instability store in zfri |
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| 378 | ! LMD94, eq. 28a,b,c, figure 3 ; Rem: p1 is 3, hard coded |
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| 379 | zfri = MAX( zri , 0. ) |
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| 380 | zfri = MIN( zfri / Riinfty , 1.0 ) |
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| 381 | zfri = ( 1.0 - zfri * zfri ) |
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| 382 | zfri = zfri * zfri * zfri |
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| 383 | ! add shear contribution to mixing coef. |
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| 384 | avmu(ji,jj,jk) = avmu(ji,jj,jk) + difri * zfri |
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| 385 | avt (ji,jj,jk) = avt (ji,jj,jk) + difri * zfri |
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| 386 | ENDIF |
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| 387 | #if defined key_zdfddm |
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| 388 | avs (ji,jj,jk) = avt (ji,jj,jk) |
|---|
| 389 | ! Double diffusion mixing ; NOT IN ROUTINE ZDFDDM.F90 |
|---|
| 390 | ! ------------------------------------------------------------------ |
|---|
| 391 | ! only retains positive value of rrau |
|---|
| 392 | zrrau = MAX( rrau(ji,jj,jk), epsln ) |
|---|
| 393 | zds = sn(ji,jj,jk-1) - sn(ji,jj,jk) |
|---|
| 394 | IF( zrrau > 1. .AND. zds > 0.) THEN |
|---|
| 395 | ! |
|---|
| 396 | ! Salt fingering case. |
|---|
| 397 | !--------------------- |
|---|
| 398 | ! Compute interior diffusivity for double diffusive mixing of |
|---|
| 399 | ! salinity. Upper bound "zrrau" by "Rrho0"; (Rrho0=1.9, difcoefnuf=0.001). |
|---|
| 400 | ! After that set interior diffusivity for double diffusive mixing |
|---|
| 401 | ! of temperature |
|---|
| 402 | zavdds = MIN( zrrau, Rrho0 ) |
|---|
| 403 | zavdds = ( zavdds - 1.0 ) / ( Rrho0 - 1.0 ) |
|---|
| 404 | zavdds = 1.0 - zavdds * zavdds |
|---|
| 405 | zavdds = zavdds * zavdds * zavdds |
|---|
| 406 | zavdds = difssf * zavdds |
|---|
| 407 | zavddt = 0.7 * zavdds |
|---|
| 408 | ELSEIF( zrrau < 1. .AND. zrrau > 0. .AND. zds < 0.) THEN |
|---|
| 409 | ! |
|---|
| 410 | ! Diffusive convection case. |
|---|
| 411 | !--------------------------- |
|---|
| 412 | ! Compute interior diffusivity for double diffusive mixing of |
|---|
| 413 | ! temperature (Marmorino and Caldwell, 1976); |
|---|
| 414 | ! Compute interior diffusivity for double diffusive mixing of salinity |
|---|
| 415 | zinr = 1. / zrrau |
|---|
| 416 | zavddt = 0.909 * EXP( 4.6 * EXP( -0.54* ( zinr - 1. ) ) ) |
|---|
| 417 | zavddt = difsdc * zavddt |
|---|
| 418 | IF( zrrau < 0.5) THEN |
|---|
| 419 | zavdds = zavddt * 0.15 * zrrau |
|---|
| 420 | ELSE |
|---|
| 421 | zavdds = zavddt * (1.85 * zrrau - 0.85 ) |
|---|
| 422 | ENDIF |
|---|
| 423 | ELSE |
|---|
| 424 | zavddt = 0. |
|---|
| 425 | zavdds = 0. |
|---|
| 426 | ENDIF |
|---|
| 427 | ! Add double diffusion contribution to temperature and salinity mixing coefficients. |
|---|
| 428 | avt (ji,jj,jk) = avt (ji,jj,jk) + zavddt |
|---|
| 429 | avs (ji,jj,jk) = avs (ji,jj,jk) + zavdds |
|---|
| 430 | #endif |
|---|
| 431 | END DO |
|---|
| 432 | END DO |
|---|
| 433 | END DO |
|---|
| 434 | |
|---|
| 435 | |
|---|
| 436 | ! Radiative (zBosol) and non radiative (zBo) surface buoyancy |
|---|
| 437 | !JMM at the time zdfkpp is called, q still holds the sum q + qsr |
|---|
| 438 | !--------------------------------------------------------------------- |
|---|
| 439 | DO jj = 2, jpjm1 |
|---|
| 440 | DO ji = fs_2, fs_jpim1 |
|---|
| 441 | IF( neos < 1) THEN |
|---|
| 442 | zt = tn(ji,jj,1) |
|---|
| 443 | zs = sn(ji,jj,1) - 35.0 |
|---|
| 444 | zh = fsdept(ji,jj,1) |
|---|
| 445 | ! potential volumic mass |
|---|
| 446 | zrhos = rhop(ji,jj,1) |
|---|
| 447 | zalbet = ( ( ( - 0.255019e-07 * zt + 0.298357e-05 ) * zt & ! ratio alpha/beta |
|---|
| 448 | & - 0.203814e-03 ) * zt & |
|---|
| 449 | & + 0.170907e-01 ) * zt & |
|---|
| 450 | & + 0.665157e-01 & |
|---|
| 451 | & + ( - 0.678662e-05 * zs & |
|---|
| 452 | & - 0.846960e-04 * zt + 0.378110e-02 ) * zs & |
|---|
| 453 | & + ( ( - 0.302285e-13 * zh & |
|---|
| 454 | & - 0.251520e-11 * zs & |
|---|
| 455 | & + 0.512857e-12 * zt * zt ) * zh & |
|---|
| 456 | & - 0.164759e-06 * zs & |
|---|
| 457 | & +( 0.791325e-08 * zt - 0.933746e-06 ) * zt & |
|---|
| 458 | & + 0.380374e-04 ) * zh |
|---|
| 459 | |
|---|
| 460 | zbeta = ( ( -0.415613e-09 * zt + 0.555579e-07 ) * zt & ! beta |
|---|
| 461 | & - 0.301985e-05 ) * zt & |
|---|
| 462 | & + 0.785567e-03 & |
|---|
| 463 | & + ( 0.515032e-08 * zs & |
|---|
| 464 | & + 0.788212e-08 * zt - 0.356603e-06 ) * zs & |
|---|
| 465 | & +( ( 0.121551e-17 * zh & |
|---|
| 466 | & - 0.602281e-15 * zs & |
|---|
| 467 | & - 0.175379e-14 * zt + 0.176621e-12 ) * zh & |
|---|
| 468 | & + 0.408195e-10 * zs & |
|---|
| 469 | & + ( - 0.213127e-11 * zt + 0.192867e-09 ) * zt & |
|---|
| 470 | & - 0.121555e-07 ) * zh |
|---|
| 471 | |
|---|
| 472 | zthermal = zbeta * zalbet / ( rcp * zrhos + epsln ) |
|---|
| 473 | zhalin = zbeta * sn(ji,jj,1) * rcs |
|---|
| 474 | ELSE |
|---|
| 475 | zrhos = rhop(ji,jj,1) + rau0 * ( 1. - tmask(ji,jj,1) ) |
|---|
| 476 | zthermal = ralpha / ( rcp * zrhos + epsln ) |
|---|
| 477 | zhalin = rbeta * sn(ji,jj,1) * rcs |
|---|
| 478 | ENDIF |
|---|
| 479 | ! Radiative surface buoyancy force |
|---|
| 480 | zBosol(ji,jj) = grav * zthermal * qsr(ji,jj) |
|---|
| 481 | ! Non radiative surface buoyancy force |
|---|
| 482 | zBo (ji,jj) = grav * zthermal * ( qt(ji,jj) - qsr(ji,jj) ) - grav * zhalin * emp(ji,jj) |
|---|
| 483 | ! Surface Temperature flux for non-local term |
|---|
| 484 | wt0(ji,jj) = - qt(ji,jj) * ro0cpr * tmask(ji,jj,1) |
|---|
| 485 | ! Surface salinity flux for non-local term |
|---|
| 486 | ws0(ji,jj) = - ( emp(ji,jj) * sn(ji,jj,1) * rcs ) * tmask(ji,jj,1) |
|---|
| 487 | ENDDO |
|---|
| 488 | ENDDO |
|---|
| 489 | |
|---|
| 490 | zflageos = 0.5 + SIGN( 0.5, neos - 1. ) |
|---|
| 491 | ! Compute surface buoyancy forcing, Monin Obukhov and Ekman depths |
|---|
| 492 | !------------------------------------------------------------------ |
|---|
| 493 | DO jj = 2, jpjm1 |
|---|
| 494 | DO ji = fs_2, fs_jpim1 |
|---|
| 495 | ! Reference surface density = density at first T point level |
|---|
| 496 | zrhos = rhop(ji,jj,1) + zflageos * rau0 * ( 1. - tmask(ji,jj,1) ) |
|---|
| 497 | ! Friction velocity (zustar), at T-point : LMD94 eq. 2 |
|---|
| 498 | ztx = 0.5 * ( taux(ji,jj) + taux(ji - 1, jj ) ) |
|---|
| 499 | zty = 0.5 * ( tauy(ji,jj) + tauy(ji , jj - 1) ) |
|---|
| 500 | ztau = SQRT( ztx * ztx + zty * zty ) |
|---|
| 501 | zustar(ji,jj) = SQRT( ztau / ( zrhos + epsln ) ) |
|---|
| 502 | ENDDO |
|---|
| 503 | ENDDO |
|---|
| 504 | |
|---|
| 505 | !CDIR NOVERRCHK |
|---|
| 506 | ! ! =============== |
|---|
| 507 | DO jj = 2, jpjm1 ! Vertical slab |
|---|
| 508 | ! ! =============== |
|---|
| 509 | |
|---|
| 510 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
|---|
| 511 | ! II Compute Boundary layer mixing coef. and diagnose the new boundary layer depth |
|---|
| 512 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 513 | |
|---|
| 514 | ! Initialization |
|---|
| 515 | jkmax = 0 |
|---|
| 516 | zdept (:,:) = 0. |
|---|
| 517 | zdepw (:,:) = 0. |
|---|
| 518 | zriblk(:,:) = 0. |
|---|
| 519 | zmoek (:,:) = 0. |
|---|
| 520 | zvisc (:,:) = 0. |
|---|
| 521 | zdift (:,:) = 0. |
|---|
| 522 | #if defined key_zdfddm |
|---|
| 523 | zdifs (:,:) = 0. |
|---|
| 524 | #endif |
|---|
| 525 | zmask (:,:) = 0. |
|---|
| 526 | DO ji = fs_2, fs_jpim1 |
|---|
| 527 | zria(ji ) = 0. |
|---|
| 528 | ! Maximum boundary layer depth |
|---|
| 529 | ikbot = mbathy(ji,jj) - 1 ! ikbot is the last T point in the water |
|---|
| 530 | zhmax(ji) = fsdept(ji,jj,ikbot) - 0.001 |
|---|
| 531 | ! Compute Monin obukhov length scale at the surface and Ekman depth: |
|---|
| 532 | zbuofdep = zBo(ji,jj) + zBosol(ji,jj) * ratt(1) |
|---|
| 533 | zekman(ji) = rcekman * zustar(ji,jj) / ( ABS( ff(ji,jj) ) + epsln ) |
|---|
| 534 | zucube = zustar(ji,jj) * zustar(ji,jj) * zustar(ji,jj) |
|---|
| 535 | zmoa(ji) = zucube / ( vonk * ( zbuofdep + epsln ) ) |
|---|
| 536 | #if defined key_cfg_1d |
|---|
| 537 | ! store the surface buoyancy forcing |
|---|
| 538 | zstabl = 0.5 + SIGN( 0.5, zbuofdep ) |
|---|
| 539 | buof(ji,jj,1) = zbuofdep * tmask(ji,jj,1) |
|---|
| 540 | ! store the moning-oboukov length scale at surface |
|---|
| 541 | zmob = zstabl * zmoa(ji) + ( 1.0 - zstabl ) * fsdept(ji,jj,1) |
|---|
| 542 | mols(ji,jj,1) = MIN( zmob , zhmax(ji) ) * tmask(ji,jj,1) |
|---|
| 543 | ! store Ekman depth |
|---|
| 544 | zek = zstabl * zekman(ji) + ( 1.0 - zstabl ) * fsdept(ji,jj,1) |
|---|
| 545 | ekdp(ji,jj ) = MIN( zek , zhmax(ji) ) * tmask(ji,jj,1) |
|---|
| 546 | #endif |
|---|
| 547 | END DO |
|---|
| 548 | ! Compute the pipe |
|---|
| 549 | ! --------------------- |
|---|
| 550 | DO jk = 2, jpkm1 |
|---|
| 551 | DO ji = fs_2, fs_jpim1 |
|---|
| 552 | ! Compute bfsfc = Bo + radiative contribution down to hbf*depht |
|---|
| 553 | zbuofdep = zBo(ji,jj) + zBosol(ji,jj) * ratt(jk) |
|---|
| 554 | ! Flag (zstabl = 1) if positive forcing |
|---|
| 555 | zstabl = 0.5 + SIGN( 0.5, zbuofdep) |
|---|
| 556 | |
|---|
| 557 | ! Compute bulk richardson number zrib at depht |
|---|
| 558 | !------------------------------------------------------- |
|---|
| 559 | ! [Br - B(d)] * d zrinum |
|---|
| 560 | ! Rib(z) = ----------------------- = ------------- |
|---|
| 561 | ! |Vr - V(d)|^2 + Vt(d)^2 zdVsq + zVtsq |
|---|
| 562 | ! |
|---|
| 563 | ! First compute zt,zs,zu,zv = means in the surface layer < epsilon*depht |
|---|
| 564 | ! Else surface values are taken at the first T level. |
|---|
| 565 | ! For stability, resolved vertical shear is computed with "before velocities". |
|---|
| 566 | zref = epsilon * fsdept(ji,jj,jk) |
|---|
| 567 | #if defined key_kppcustom |
|---|
| 568 | ! zref = gdept(1) |
|---|
| 569 | zref = fsdept(ji,jj,1) |
|---|
| 570 | zt = tn(ji,jj,1) |
|---|
| 571 | zs = sn(ji,jj,1) |
|---|
| 572 | zrh = rhop(ji,jj,1) |
|---|
| 573 | zu = ( ub(ji,jj,1) + ub(ji - 1,jj ,1) ) / MAX( 1. , umask(ji,jj,1) + umask(ji - 1,jj ,1) ) |
|---|
| 574 | zv = ( vb(ji,jj,1) + vb(ji ,jj - 1,1) ) / MAX( 1. , vmask(ji,jj,1) + vmask(ji ,jj - 1,1) ) |
|---|
| 575 | #else |
|---|
| 576 | zt = 0. |
|---|
| 577 | zs = 0. |
|---|
| 578 | zu = 0. |
|---|
| 579 | zv = 0. |
|---|
| 580 | zrh = 0. |
|---|
| 581 | ! vertically integration over the upper epsilon*gdept(jk) ; del () array is computed once in zdf_kpp_init |
|---|
| 582 | DO jm = 1, jpkm1 |
|---|
| 583 | zt = zt + del(jk,jm) * tn(ji,jj,jm) |
|---|
| 584 | zs = zs + del(jk,jm) * sn(ji,jj,jm) |
|---|
| 585 | zu = zu + 0.5 * del(jk,jm) & |
|---|
| 586 | & * ( ub(ji,jj,jm) + ub(ji - 1,jj,jm) ) & |
|---|
| 587 | & / MAX( 1. , umask(ji,jj,jm) + umask(ji - 1,jj,jm) ) |
|---|
| 588 | zv = zv + 0.5 * del(jk,jm) & |
|---|
| 589 | & * ( vb(ji,jj,jm) + vb(ji,jj - 1,jm) ) & |
|---|
| 590 | & / MAX( 1. , vmask(ji,jj,jm) + vmask(ji,jj - 1,jm) ) |
|---|
| 591 | zrh = zrh + del(jk,jm) * rhop(ji,jj,jm) |
|---|
| 592 | END DO |
|---|
| 593 | #endif |
|---|
| 594 | zsr = SQRT( ABS( sn(ji,jj,jk) ) ) |
|---|
| 595 | ! depth |
|---|
| 596 | zh = fsdept(ji,jj,jk) |
|---|
| 597 | ! compute compression terms on density |
|---|
| 598 | ze = ( -3.508914e-8*zt-1.248266e-8 ) *zt-2.595994e-6 |
|---|
| 599 | zbw = ( 1.296821e-6*zt-5.782165e-9 ) *zt+1.045941e-4 |
|---|
| 600 | zb = zbw + ze * zs |
|---|
| 601 | |
|---|
| 602 | zd = -2.042967e-2 |
|---|
| 603 | zc = (-7.267926e-5*zt+2.598241e-3 ) *zt+0.1571896 |
|---|
| 604 | zaw = ( ( 5.939910e-6*zt+2.512549e-3 ) *zt-0.1028859 ) *zt - 4.721788 |
|---|
| 605 | za = ( zd*zsr + zc ) *zs + zaw |
|---|
| 606 | |
|---|
| 607 | zb1 = (-0.1909078*zt+7.390729 ) *zt-55.87545 |
|---|
| 608 | za1 = ( ( 2.326469e-3*zt+1.553190)*zt-65.00517 ) *zt+1044.077 |
|---|
| 609 | zkw = ( ( (-1.361629e-4*zt-1.852732e-2 ) *zt-30.41638 ) *zt + 2098.925 ) *zt+190925.6 |
|---|
| 610 | zk0 = ( zb1*zsr + za1 )*zs + zkw |
|---|
| 611 | zcomp = 1.0 - zh / ( zk0 - zh * ( za - zh * zb ) ) |
|---|
| 612 | |
|---|
| 613 | #if defined key_kppcustom |
|---|
| 614 | ! potential density of water(zrh = zt,zs at level jk): |
|---|
| 615 | zrhdr = zrh / zcomp |
|---|
| 616 | #else |
|---|
| 617 | ! potential density of water(ztref,zsref at level jk): |
|---|
| 618 | ! compute volumic mass pure water at atm pressure |
|---|
| 619 | IF ( neos < 1 ) THEN |
|---|
| 620 | zr1= ( ( ( ( 6.536332e-9*zt-1.120083e-6 )*zt+1.001685e-4)*zt & |
|---|
| 621 | & -9.095290e-3 )*zt+6.793952e-2 )*zt+999.842594 |
|---|
| 622 | ! seawater volumic mass atm pressure |
|---|
| 623 | zr2= ( ( ( 5.3875e-9*zt-8.2467e-7 ) *zt+7.6438e-5 ) *zt & |
|---|
| 624 | & -4.0899e-3 ) *zt+0.824493 |
|---|
| 625 | zr3= ( -1.6546e-6*zt+1.0227e-4 ) *zt-5.72466e-3 |
|---|
| 626 | zr4= 4.8314e-4 |
|---|
| 627 | ! potential volumic mass (reference to the surface) |
|---|
| 628 | zrhop= ( zr4*zs + zr3*zsr + zr2 ) *zs + zr1 |
|---|
| 629 | zrhdr = zrhop / zcomp |
|---|
| 630 | ELSE |
|---|
| 631 | zrhdr = zrh / zcomp |
|---|
| 632 | ENDIF |
|---|
| 633 | #endif |
|---|
| 634 | |
|---|
| 635 | ! potential density of ambiant water at level jk : |
|---|
| 636 | zrhd = ( rhd(ji,jj,jk) * rau0 + rau0 ) |
|---|
| 637 | |
|---|
| 638 | ! And now the Rib number numerator . |
|---|
| 639 | zrinum = grav * ( zrhd - zrhdr ) / rau0 |
|---|
| 640 | zrinum = zrinum * ( fsdept(ji,jj,jk) - zref ) * tmask(ji,jj,jk) |
|---|
| 641 | |
|---|
| 642 | ! Resolved shear contribution to Rib at depth T-point (zdVsq) |
|---|
| 643 | ztx = ( ub( ji , jj ,jk) + ub(ji - 1, jj ,jk) ) & |
|---|
| 644 | & / MAX( 1. , umask( ji , jj ,jk) + umask(ji - 1, jj ,jk) ) |
|---|
| 645 | zty = ( vb( ji , jj ,jk) + vb(ji ,jj - 1,jk) ) & |
|---|
| 646 | & / MAX( 1., vmask( ji , jj ,jk) + vmask(ji ,jj - 1,jk) ) |
|---|
| 647 | |
|---|
| 648 | zdVsq = ( zu - ztx ) * ( zu - ztx ) + ( zv - zty ) * ( zv - zty ) |
|---|
| 649 | |
|---|
| 650 | ! Scalar turbulent velocity scale zws for hbl=gdept |
|---|
| 651 | zscale = zstabl + ( 1.0 - zstabl ) * epsilon |
|---|
| 652 | zehat = vonk * zscale * fsdept(ji,jj,jk) * zbuofdep |
|---|
| 653 | zucube = zustar(ji,jj) * zustar(ji,jj) * zustar(ji,jj) |
|---|
| 654 | zeta = zehat / ( zucube + epsln ) |
|---|
| 655 | |
|---|
| 656 | IF( zehat > 0. ) THEN |
|---|
| 657 | ! Stable case |
|---|
| 658 | zws = vonk * zustar(ji,jj) / ( 1.0 + rconc1 * zeta ) |
|---|
| 659 | ELSE |
|---|
| 660 | ! Unstable case |
|---|
| 661 | #if defined key_kpplktb |
|---|
| 662 | ! use lookup table |
|---|
| 663 | zd = zehat - dehatmin |
|---|
| 664 | il = INT( zd / dezehat ) |
|---|
| 665 | il = MIN( il, nilktbm1 ) |
|---|
| 666 | il = MAX( il, 1 ) |
|---|
| 667 | |
|---|
| 668 | ud = zustar(ji,jj) - ustmin |
|---|
| 669 | jl = INT( ud / deustar ) |
|---|
| 670 | jl = MIN( jl, njlktbm1 ) |
|---|
| 671 | jl = MAX( jl, 1 ) |
|---|
| 672 | |
|---|
| 673 | zfrac = zd / dezehat - FLOAT( il ) |
|---|
| 674 | ufrac = ud / deustar - FLOAT( jl ) |
|---|
| 675 | zwas = ( 1. - zfrac ) * wslktb(il,jl+1) + zfrac * wslktb(il+1,jl+1) |
|---|
| 676 | zwbs = ( 1. - zfrac ) * wslktb(il,jl ) + zfrac * wslktb(il+1,jl ) |
|---|
| 677 | ! |
|---|
| 678 | zws = ( 1. - ufrac ) * zwbs + ufrac * zwas |
|---|
| 679 | #else |
|---|
| 680 | ! use analytical functions: |
|---|
| 681 | zcons = 0.5 + SIGN( 0.5 , ( rzetas - zeta ) ) |
|---|
| 682 | zwcons = vonk * zustar(ji,jj) * ( ( ABS( rconas - rconcs * zeta ) )**pthird ) |
|---|
| 683 | zwsun = vonk * zustar(ji,jj) * SQRT( ABS ( 1.0 - rconc2 * zeta ) ) |
|---|
| 684 | ! |
|---|
| 685 | zws = zcons * zwcons + ( 1.0 - zcons) * zwsun |
|---|
| 686 | #endif |
|---|
| 687 | ENDIF |
|---|
| 688 | |
|---|
| 689 | ! Turbulent shear contribution to Rib (zVtsq) bv frequency at levels ( ie T-point jk) |
|---|
| 690 | zrn2 = 0.5 * ( rn2(ji,jj,jk) + rn2(ji,jj,jk+1) ) |
|---|
| 691 | zbvzed = SQRT( ABS( zrn2 ) ) |
|---|
| 692 | zVtsq = fsdept(ji,jj,jk) * zws * zbvzed * Vtc |
|---|
| 693 | |
|---|
| 694 | ! Finally, the bulk Richardson number at depth fsdept(i,j,k) |
|---|
| 695 | zrib = zrinum / ( zdVsq + zVtsq + epsln ) |
|---|
| 696 | |
|---|
| 697 | ! Find subscripts around the boundary layer depth, build the pipe |
|---|
| 698 | ! ---------------------------------------------------------------- |
|---|
| 699 | |
|---|
| 700 | ! Flag (zflagri = 1) if zrib < Ricr |
|---|
| 701 | zflagri = 0.5 + SIGN( 0.5, ( Ricr - zrib ) ) |
|---|
| 702 | ! Flag (zflagh = 1) if still within overall boundary layer |
|---|
| 703 | zflagh = 0.5 + SIGN( 0.5, ( fsdept(ji,jj,1) - zdept(ji,2) ) ) |
|---|
| 704 | |
|---|
| 705 | ! Ekman layer depth |
|---|
| 706 | zek = zstabl * zekman(ji) + ( 1.0 - zstabl ) * zhmax(ji) |
|---|
| 707 | zflag = 0.5 + SIGN( 0.5, ( zek - fsdept(ji,jj,jk-1) ) ) |
|---|
| 708 | zek = zflag * zek + ( 1.0 - zflag ) * zhmax(ji) |
|---|
| 709 | zflagek = 0.5 + SIGN( 0.5, ( zek - fsdept(ji,jj,jk) ) ) |
|---|
| 710 | ! Flag (zflagmo = 1) if still within stable Monin-Obukhov and in water |
|---|
| 711 | zmob = zucube / ( vonk * ( zbuofdep + epsln ) ) |
|---|
| 712 | ztemp = zstabl * zmob + ( 1.0 - zstabl) * zhmax(ji) |
|---|
| 713 | ztemp = MIN( ztemp , zhmax(ji) ) |
|---|
| 714 | zflagmo = 0.5 + SIGN( 0.5, ( ztemp - fsdept(ji,jj,jk) ) ) |
|---|
| 715 | |
|---|
| 716 | ! No limitation by Monin Obukhov or Ekman depths: |
|---|
| 717 | ! zflagek = 1.0 |
|---|
| 718 | ! zflagmo = 0.5 + SIGN( 0.5, ( zhmax(ji) - fsdept(ji,jj,jk) ) ) |
|---|
| 719 | |
|---|
| 720 | ! Load pipe via zflagkb for later calculations |
|---|
| 721 | ! Flag (zflagkb = 1) if zflagh = 1 and (zflagri = 0 or zflagek = 0 or zflagmo = 0) |
|---|
| 722 | zflagkb = zflagh * ( 1.0 - ( zflagri * zflagek * zflagmo ) ) |
|---|
| 723 | |
|---|
| 724 | zmask(ji,jk) = zflagh |
|---|
| 725 | jkp2 = MIN( jk+2 , ikbot ) |
|---|
| 726 | jkm1 = MAX( jk-1 , 2 ) |
|---|
| 727 | jkmax = MAX( jkmax, jk * INT( REAL( zflagh+epsln ) ) ) |
|---|
| 728 | |
|---|
| 729 | zdept(ji,1) = zdept(ji,1) + zflagkb * fsdept(ji,jj,jk-1) |
|---|
| 730 | zdept(ji,2) = zdept(ji,2) + zflagkb * fsdept(ji,jj,jk ) |
|---|
| 731 | zdept(ji,3) = zdept(ji,3) + zflagkb * fsdept(ji,jj,jk+1) |
|---|
| 732 | |
|---|
| 733 | zdepw(ji,1) = zdepw(ji,1) + zflagkb * fsdepw(ji,jj,jk-1) |
|---|
| 734 | zdepw(ji,2) = zdepw(ji,2) + zflagkb * fsdepw(ji,jj,jk ) |
|---|
| 735 | zdepw(ji,3) = zdepw(ji,3) + zflagkb * fsdepw(ji,jj,jk+1) |
|---|
| 736 | zdepw(ji,4) = zdepw(ji,4) + zflagkb * fsdepw(ji,jj,jkp2) |
|---|
| 737 | |
|---|
| 738 | zriblk(ji,1) = zriblk(ji,1) + zflagkb * zria(ji) |
|---|
| 739 | zriblk(ji,2) = zriblk(ji,2) + zflagkb * zrib |
|---|
| 740 | |
|---|
| 741 | zmoek (ji,0) = zmoek (ji,0) + zflagkb * zek |
|---|
| 742 | zmoek (ji,1) = zmoek (ji,1) + zflagkb * zmoa(ji) |
|---|
| 743 | zmoek (ji,2) = zmoek (ji,2) + zflagkb * ztemp |
|---|
| 744 | ! Save Monin Obukhov depth |
|---|
| 745 | zmoa (ji) = zmob |
|---|
| 746 | |
|---|
| 747 | zvisc(ji,1) = zvisc(ji,1) + zflagkb * avmu(ji,jj,jkm1) |
|---|
| 748 | zvisc(ji,2) = zvisc(ji,2) + zflagkb * avmu(ji,jj,jk ) |
|---|
| 749 | zvisc(ji,3) = zvisc(ji,3) + zflagkb * avmu(ji,jj,jk+1) |
|---|
| 750 | zvisc(ji,4) = zvisc(ji,4) + zflagkb * avmu(ji,jj,jkp2) |
|---|
| 751 | |
|---|
| 752 | zdift(ji,1) = zdift(ji,1) + zflagkb * avt (ji,jj,jkm1) |
|---|
| 753 | zdift(ji,2) = zdift(ji,2) + zflagkb * avt (ji,jj,jk ) |
|---|
| 754 | zdift(ji,3) = zdift(ji,3) + zflagkb * avt (ji,jj,jk+1) |
|---|
| 755 | zdift(ji,4) = zdift(ji,4) + zflagkb * avt (ji,jj,jkp2) |
|---|
| 756 | |
|---|
| 757 | #if defined key_zdfddm |
|---|
| 758 | zdifs(ji,1) = zdifs(ji,1) + zflagkb * avs (ji,jj,jkm1) |
|---|
| 759 | zdifs(ji,2) = zdifs(ji,2) + zflagkb * avs (ji,jj,jk ) |
|---|
| 760 | zdifs(ji,3) = zdifs(ji,3) + zflagkb * avs (ji,jj,jk+1) |
|---|
| 761 | zdifs(ji,4) = zdifs(ji,4) + zflagkb * avs (ji,jj,jkp2) |
|---|
| 762 | #endif |
|---|
| 763 | ! Save the Richardson number |
|---|
| 764 | zria (ji) = zrib |
|---|
| 765 | #if defined key_cfg_1d |
|---|
| 766 | ! store buoyancy length scale |
|---|
| 767 | buof(ji,jj,jk) = zbuofdep * tmask(ji,jj,jk) |
|---|
| 768 | ! store Monin Obukhov |
|---|
| 769 | zmob = zstabl * zmob + ( 1.0 - zstabl) * fsdept(ji,jj,1) |
|---|
| 770 | mols(ji,jj,jk) = MIN( zmob , zhmax(ji) ) * tmask(ji,jj,jk) |
|---|
| 771 | ! Bulk Richardson number |
|---|
| 772 | rib(ji,jj,jk) = zrib * tmask(ji,jj,jk) |
|---|
| 773 | #endif |
|---|
| 774 | END DO |
|---|
| 775 | END DO |
|---|
| 776 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
|---|
| 777 | ! III PROCESS THE PIPE |
|---|
| 778 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 779 | |
|---|
| 780 | DO ji = fs_2, fs_jpim1 |
|---|
| 781 | |
|---|
| 782 | ! Find the boundary layer depth zhbl |
|---|
| 783 | ! ---------------------------------------- |
|---|
| 784 | |
|---|
| 785 | ! Interpolate monin Obukhov and critical Ri mumber depths |
|---|
| 786 | ztemp = zdept(ji,2) - zdept(ji,1) |
|---|
| 787 | zflag = ( Ricr - zriblk(ji,1) ) / ( zriblk(ji,2) - zriblk(ji,1) + epsln ) |
|---|
| 788 | zhrib = zdept(ji,1) + zflag * ztemp |
|---|
| 789 | |
|---|
| 790 | IF( zriblk(ji,2) < Ricr ) zhrib = zhmax(ji) |
|---|
| 791 | |
|---|
| 792 | IF( zmoek(ji,2) < zdept(ji,2) ) THEN |
|---|
| 793 | IF ( zmoek(ji,1) < 0. ) THEN |
|---|
| 794 | zmob = zdept(ji,2) - epsln |
|---|
| 795 | ELSE |
|---|
| 796 | zmob = ztemp + zmoek(ji,1) - zmoek(ji,2) |
|---|
| 797 | zmob = ( zmoek(ji,1) * zdept(ji,2) - zmoek(ji,2) * zdept(ji,1) ) / zmob |
|---|
| 798 | zmob = MAX( zmob , zdept(ji,1) + epsln ) |
|---|
| 799 | ENDIF |
|---|
| 800 | ELSE |
|---|
| 801 | zmob = zhmax(ji) |
|---|
| 802 | ENDIF |
|---|
| 803 | ztemp = MIN( zmob , zmoek(ji,0) ) |
|---|
| 804 | |
|---|
| 805 | ! Finally, the boundary layer depth, zhbl |
|---|
| 806 | zhbl(ji) = MAX( fsdept(ji,jj,1) + epsln, MIN( zhrib , ztemp ) ) |
|---|
| 807 | |
|---|
| 808 | ! Save hkpp for further diagnostics (optional) |
|---|
| 809 | hkpp(ji,jj) = zhbl(ji) * tmask(ji,jj,1) |
|---|
| 810 | |
|---|
| 811 | ! Correct mask if zhbl < fsdepw(ji,jj,2) for no viscosity/diffusivity enhancement at fsdepw(ji,jj,2) |
|---|
| 812 | ! zflag = 1 if zhbl(ji) > fsdepw(ji,jj,2) |
|---|
| 813 | IF( zhbl(ji) < fsdepw(ji,jj,2) ) zmask(ji,2) = 0. |
|---|
| 814 | |
|---|
| 815 | |
|---|
| 816 | ! Velocity scales at depth zhbl |
|---|
| 817 | ! ----------------------------------- |
|---|
| 818 | |
|---|
| 819 | ! Compute bouyancy forcing down to zhbl |
|---|
| 820 | ztemp = -hbf * zhbl(ji) |
|---|
| 821 | zatt1 = 1.0 - ( rabs * EXP( ztemp / xsi1 ) + ( 1.0 - rabs ) * EXP( ztemp / xsi2 ) ) |
|---|
| 822 | zbuofdep = zBo(ji,jj) + zBosol(ji,jj) * zatt1 |
|---|
| 823 | zstabl = 0.5 + SIGN( 0.5 , zbuofdep ) |
|---|
| 824 | |
|---|
| 825 | zbuofdep = zbuofdep + zstabl * epsln |
|---|
| 826 | |
|---|
| 827 | zscale = zstabl + ( 1.0 - zstabl ) * epsilon |
|---|
| 828 | zehat = vonk * zscale * zhbl(ji) * zbuofdep |
|---|
| 829 | zucube = zustar(ji,jj) * zustar(ji,jj) * zustar(ji,jj) |
|---|
| 830 | zeta = zehat / ( zucube + epsln ) |
|---|
| 831 | |
|---|
| 832 | IF( zehat > 0. ) THEN |
|---|
| 833 | ! Stable case |
|---|
| 834 | zws = vonk * zustar(ji,jj) / ( 1.0 + rconc1 * zeta ) |
|---|
| 835 | zwm = zws |
|---|
| 836 | ELSE |
|---|
| 837 | ! Unstable case |
|---|
| 838 | #if defined key_kpplktb |
|---|
| 839 | ! use lookup table |
|---|
| 840 | zd = zehat - dehatmin |
|---|
| 841 | il = INT( zd / dezehat ) |
|---|
| 842 | il = MIN( il, nilktbm1 ) |
|---|
| 843 | il = MAX( il, 1 ) |
|---|
| 844 | |
|---|
| 845 | ud = zustar(ji,jj) - ustmin |
|---|
| 846 | jl = INT( ud / deustar ) |
|---|
| 847 | jl = MIN( jl, njlktbm1 ) |
|---|
| 848 | jl = MAX( jl, 1 ) |
|---|
| 849 | |
|---|
| 850 | zfrac = zd / dezehat - FLOAT( il ) |
|---|
| 851 | ufrac = ud / deustar - FLOAT( jl ) |
|---|
| 852 | zwas = ( 1. - zfrac ) * wslktb(il,jl+1) + zfrac * wslktb(il+1,jl+1) |
|---|
| 853 | zwbs = ( 1. - zfrac ) * wslktb(il,jl ) + zfrac * wslktb(il+1,jl ) |
|---|
| 854 | zwam = ( 1. - zfrac ) * wmlktb(il,jl+1) + zfrac * wmlktb(il+1,jl+1) |
|---|
| 855 | zwbm = ( 1. - zfrac ) * wmlktb(il,jl ) + zfrac * wmlktb(il+1,jl ) |
|---|
| 856 | ! |
|---|
| 857 | zws = ( 1. - ufrac ) * zwbs + ufrac * zwas |
|---|
| 858 | zwm = ( 1. - ufrac ) * zwbm + ufrac * zwam |
|---|
| 859 | #else |
|---|
| 860 | ! use analytical functions |
|---|
| 861 | zconm = 0.5 + SIGN( 0.5, ( rzetam - zeta) ) |
|---|
| 862 | zcons = 0.5 + SIGN( 0.5, ( rzetas - zeta) ) |
|---|
| 863 | |
|---|
| 864 | ! Momentum : zeta < rzetam (zconm = 1) |
|---|
| 865 | ! Scalars : zeta < rzetas (zcons = 1) |
|---|
| 866 | zwconm = zustar(ji,jj) * vonk * ( ( ABS( rconam - rconcm * zeta) )**pthird ) |
|---|
| 867 | zwcons = zustar(ji,jj) * vonk * ( ( ABS( rconas - rconcs * zeta) )**pthird ) |
|---|
| 868 | |
|---|
| 869 | ! Momentum : rzetam <= zeta < 0 (zconm = 0) |
|---|
| 870 | ! Scalars : rzetas <= zeta < 0 (zcons = 0) |
|---|
| 871 | zwmun = SQRT( ABS( 1.0 - rconc2 * zeta ) ) |
|---|
| 872 | zwsun = vonk * zustar(ji,jj) * zwmun |
|---|
| 873 | zwmun = vonk * zustar(ji,jj) * SQRT(zwmun) |
|---|
| 874 | ! |
|---|
| 875 | zwm = zconm * zwconm + ( 1.0 - zconm ) * zwmun |
|---|
| 876 | zws = zcons * zwcons + ( 1.0 - zcons ) * zwsun |
|---|
| 877 | |
|---|
| 878 | #endif |
|---|
| 879 | ENDIF |
|---|
| 880 | |
|---|
| 881 | |
|---|
| 882 | ! Viscosity, diffusivity values and derivatives at h |
|---|
| 883 | ! -------------------------------------------------------- |
|---|
| 884 | |
|---|
| 885 | ! check between at which interfaces is located zhbl(ji) |
|---|
| 886 | ! ztemp = 1, zdepw(ji,2) < zhbl < zdepw(ji,3) |
|---|
| 887 | ! ztemp = 0, zdepw(ji,1) < zhbl < zdepw(ji,2) |
|---|
| 888 | ztemp = 0.5 + SIGN( 0.5, ( zhbl(ji) - zdepw(ji,2) ) ) |
|---|
| 889 | zdep21 = zdepw(ji,2) - zdepw(ji,1) + epsln |
|---|
| 890 | zdep32 = zdepw(ji,3) - zdepw(ji,2) + epsln |
|---|
| 891 | zdep43 = zdepw(ji,4) - zdepw(ji,3) + epsln |
|---|
| 892 | |
|---|
| 893 | ! Compute R as in LMD94, eq D5b |
|---|
| 894 | zdelta = ( zhbl(ji) - zdepw(ji,2) ) * ztemp / zdep32 & |
|---|
| 895 | & + ( zhbl(ji) - zdepw(ji,1) ) * ( 1.0 - ztemp ) / zdep21 |
|---|
| 896 | |
|---|
| 897 | ! Compute the vertical derivative of viscosities (zdzh) at z=zhbl(ji) |
|---|
| 898 | zdzup = ( zvisc(ji,2) - zvisc(ji,3) ) * ztemp / zdep32 & |
|---|
| 899 | & + ( zvisc(ji,1) - zvisc(ji,2) ) * ( 1.0 - ztemp ) / zdep21 |
|---|
| 900 | |
|---|
| 901 | zdzdn = ( zvisc(ji,3) - zvisc(ji,4) ) * ztemp / zdep43 & |
|---|
| 902 | & + ( zvisc(ji,2) - zvisc(ji,3) ) * ( 1.0 - ztemp ) / zdep32 |
|---|
| 903 | |
|---|
| 904 | ! LMD94, eq D5b : |
|---|
| 905 | zdzh = ( 1.0 - zdelta ) * zdzup + zdelta * zdzdn |
|---|
| 906 | zdzh = MAX( zdzh , 0. ) |
|---|
| 907 | |
|---|
| 908 | ! Compute viscosities (zvath) at z=zhbl(ji), LMD94 eq D5a |
|---|
| 909 | zvath = ztemp * ( zvisc(ji,3) + zdzh * ( zdepw(ji,3) - zhbl(ji) ) ) & |
|---|
| 910 | & + ( 1.0 - ztemp ) * ( zvisc(ji,2) + zdzh * ( zdepw(ji,2) - zhbl(ji) ) ) |
|---|
| 911 | |
|---|
| 912 | ! Compute G (zgat1) and its derivative (zdat1) at z=hbl(ji), LMD94 eq 18 |
|---|
| 913 | |
|---|
| 914 | ! Vertical derivative of velocity scale divided by velocity scale squared at z=hbl(ji) |
|---|
| 915 | ! (non zero only in stable conditions) |
|---|
| 916 | zflag = -zstabl * rconc1 * zbuofdep / ( zucube * zustar(ji,jj) + epsln ) |
|---|
| 917 | |
|---|
| 918 | ! G at its derivative at z=hbl: |
|---|
| 919 | zgat1 = zvath / ( zhbl(ji) * ( zwm + epsln ) ) |
|---|
| 920 | zdat1 = -zdzh / ( zwm + epsln ) - zflag * zvath / zhbl(ji) |
|---|
| 921 | |
|---|
| 922 | ! G coefficients, LMD94 eq 17 |
|---|
| 923 | za2m(ji) = -2.0 + 3.0 * zgat1 - zdat1 |
|---|
| 924 | za3m(ji) = 1.0 - 2.0 * zgat1 + zdat1 |
|---|
| 925 | |
|---|
| 926 | |
|---|
| 927 | ! Compute the vertical derivative of temperature diffusivities (zdzh) at z=zhbl(ji) |
|---|
| 928 | zdzup = ( zdift(ji,2) - zdift(ji,3) ) * ztemp / zdep32 & |
|---|
| 929 | & + ( zdift(ji,1) - zdift(ji,2) ) * ( 1.0 - ztemp ) / zdep21 |
|---|
| 930 | |
|---|
| 931 | zdzdn = ( zdift(ji,3) - zdift(ji,4) ) * ztemp / zdep43 & |
|---|
| 932 | & + ( zdift(ji,2) - zdift(ji,3) ) * ( 1.0 - ztemp ) / zdep32 |
|---|
| 933 | |
|---|
| 934 | ! LMD94, eq D5b : |
|---|
| 935 | zdzh = ( 1.0 - zdelta ) * zdzup + zdelta * zdzdn |
|---|
| 936 | zdzh = MAX( zdzh , 0. ) |
|---|
| 937 | |
|---|
| 938 | |
|---|
| 939 | ! Compute diffusivities (zvath) at z=zhbl(ji), LMD94 eq D5a |
|---|
| 940 | zvath = ztemp * ( zdift(ji,3) + zdzh * ( zdepw(ji,3) - zhbl(ji) ) ) & |
|---|
| 941 | & + ( 1.0 - ztemp ) * ( zdift(ji,2) + zdzh * ( zdepw(ji,2) - zhbl(ji) ) ) |
|---|
| 942 | |
|---|
| 943 | ! G at its derivative at z=hbl: |
|---|
| 944 | zgat1 = zvath / ( zhbl(ji) * ( zws + epsln ) ) |
|---|
| 945 | zdat1 = -zdzh / ( zws + epsln ) - zflag * zvath / zhbl(ji) |
|---|
| 946 | |
|---|
| 947 | ! G coefficients, LMD94 eq 17 |
|---|
| 948 | za2t(ji) = -2.0 + 3.0 * zgat1 - zdat1 |
|---|
| 949 | za3t(ji) = 1.0 - 2.0 * zgat1 + zdat1 |
|---|
| 950 | |
|---|
| 951 | #if defined key_zdfddm |
|---|
| 952 | ! Compute the vertical derivative of salinities diffusivities (zdzh) at z=zhbl(ji) |
|---|
| 953 | zdzup = ( zdifs(ji,2) - zdifs(ji,3) ) * ztemp / zdep32 & |
|---|
| 954 | & + ( zdifs(ji,1) - zdifs(ji,2) ) * ( 1.0 - ztemp ) / zdep21 |
|---|
| 955 | |
|---|
| 956 | zdzdn = ( zdifs(ji,3) - zdifs(ji,4) ) * ztemp / zdep43 & |
|---|
| 957 | & + ( zdifs(ji,2) - zdifs(ji,3) ) * ( 1.0 - ztemp ) / zdep32 |
|---|
| 958 | |
|---|
| 959 | ! LMD94, eq D5b : |
|---|
| 960 | zdzh = ( 1.0 - zdelta ) * zdzup + zdelta * zdzdn |
|---|
| 961 | zdzh = MAX( zdzh , 0. ) |
|---|
| 962 | |
|---|
| 963 | ! Compute diffusivities (zvath) at z=zhbl(ji), LMD94 eq D5a |
|---|
| 964 | zvath = ztemp * ( zdifs(ji,3) + zdzh * ( zdepw(ji,3) - zhbl(ji) ) ) & |
|---|
| 965 | & + ( 1.0 - ztemp ) * ( zdifs(ji,2) + zdzh * ( zdepw(ji,2) - zhbl(ji) ) ) |
|---|
| 966 | |
|---|
| 967 | ! G at its derivative at z=hbl: |
|---|
| 968 | zgat1 = zvath / ( zhbl(ji) * ( zws + epsln ) ) |
|---|
| 969 | zdat1 = -zdzh / ( zws + epsln ) - zflag * zvath / zhbl(ji) |
|---|
| 970 | |
|---|
| 971 | ! G coefficients, LMD94 eq 17 |
|---|
| 972 | za2s(ji) = -2.0 + 3.0 * zgat1 - zdat1 |
|---|
| 973 | za3s(ji) = 1.0 - 2.0 * zgat1 + zdat1 |
|---|
| 974 | #endif |
|---|
| 975 | |
|---|
| 976 | !-------------------turn off interior matching here------ |
|---|
| 977 | ! za2(ji,1) = -2.0 |
|---|
| 978 | ! za3(ji,1) = 1.0 |
|---|
| 979 | ! za2(ji,2) = -2.0 |
|---|
| 980 | ! za3(ji,2) = 1.0 |
|---|
| 981 | !-------------------------------------------------------- |
|---|
| 982 | |
|---|
| 983 | ! Compute Enhanced Mixing Coefficients (LMD94,eq D6) |
|---|
| 984 | ! --------------------------------------------------------------- |
|---|
| 985 | |
|---|
| 986 | ! Delta |
|---|
| 987 | zdelta = ( zhbl(ji) - zdept(ji,1) ) / ( zdept(ji,2) - zdept(ji,1) + epsln ) |
|---|
| 988 | zdelta2 = zdelta * zdelta |
|---|
| 989 | |
|---|
| 990 | ! Mixing coefficients at first level above h (zdept(ji,1)) |
|---|
| 991 | ! and at first interface in the pipe (zdepw(ji,2)) |
|---|
| 992 | |
|---|
| 993 | ! At first T level above h (zdept(ji,1)) (always in the boundary layer) |
|---|
| 994 | zsig = zdept(ji,1) / zhbl(ji) |
|---|
| 995 | ztemp = zstabl * zsig + ( 1.0 - zstabl ) * MIN( zsig , epsilon ) |
|---|
| 996 | zehat = vonk * ztemp * zhbl(ji) * zbuofdep |
|---|
| 997 | zeta = zehat / ( zucube + epsln) |
|---|
| 998 | zwst = vonk * zustar(ji,jj) / ( ABS( 1.0 + rconc1 * zeta ) + epsln) |
|---|
| 999 | zwm = zstabl * zwst + ( 1.0 - zstabl ) * zwm |
|---|
| 1000 | zws = zstabl * zwst + ( 1.0 - zstabl ) * zws |
|---|
| 1001 | |
|---|
| 1002 | zkm1m = zhbl(ji) * zwm * zsig * ( 1.0 + zsig * ( za2m(ji) + zsig * za3m(ji) ) ) |
|---|
| 1003 | zkm1t = zhbl(ji) * zws * zsig * ( 1.0 + zsig * ( za2t(ji) + zsig * za3t(ji) ) ) |
|---|
| 1004 | #if defined key_zdfddm |
|---|
| 1005 | zkm1s = zhbl(ji) * zws * zsig * ( 1.0 + zsig * ( za2s(ji) + zsig * za3s(ji) ) ) |
|---|
| 1006 | #endif |
|---|
| 1007 | ! At first W level in the pipe (zdepw(ji,2)) (not always in the boundary layer ): |
|---|
| 1008 | zsig = MIN( zdepw(ji,2) / zhbl(ji) , 1.0 ) |
|---|
| 1009 | ztemp = zstabl * zsig + ( 1.0 - zstabl ) * MIN( zsig , epsilon ) |
|---|
| 1010 | zehat = vonk * ztemp * zhbl(ji) * zbuofdep |
|---|
| 1011 | zeta = zehat / ( zucube + epsln ) |
|---|
| 1012 | zwst = vonk * zustar(ji,jj) / ( ABS( 1.0 + rconc1 * zeta ) + epsln) |
|---|
| 1013 | zws = zstabl * zws + ( 1.0 - zstabl ) * zws |
|---|
| 1014 | zwm = zstabl * zws + ( 1.0 - zstabl ) * zwm |
|---|
| 1015 | |
|---|
| 1016 | zkmpm(ji) = zhbl(ji) * zwm * zsig * ( 1.0 + zsig * ( za2m(ji) + zsig * za3m(ji) ) ) |
|---|
| 1017 | zkmpt(ji) = zhbl(ji) * zws * zsig * ( 1.0 + zsig * ( za2t(ji) + zsig * za3t(ji) ) ) |
|---|
| 1018 | #if defined key_zdfddm |
|---|
| 1019 | zkmps(ji) = zhbl(ji) * zws * zsig * ( 1.0 + zsig * ( za2s(ji) + zsig * za3s(ji) ) ) |
|---|
| 1020 | #endif |
|---|
| 1021 | |
|---|
| 1022 | ! check if this point is in the boundary layer,else take interior viscosity/diffusivity: |
|---|
| 1023 | zflag = 0.5 + SIGN( 0.5, ( zhbl(ji) - zdepw(ji,2) ) ) |
|---|
| 1024 | zkmpm(ji) = zkmpm(ji) * zflag + ( 1.0 - zflag ) * zvisc(ji,2) |
|---|
| 1025 | zkmpt(ji) = zkmpt(ji) * zflag + ( 1.0 - zflag ) * zdift(ji,2) |
|---|
| 1026 | #if defined key_zdfddm |
|---|
| 1027 | zkmps(ji) = zkmps(ji) * zflag + ( 1.0 - zflag ) * zdifs(ji,2) |
|---|
| 1028 | #endif |
|---|
| 1029 | |
|---|
| 1030 | ! Enhanced viscosity/diffusivity at zdepw(ji,2) |
|---|
| 1031 | ztemp = ( 1.0 - 2.0 * zdelta + zdelta2 ) * zkm1m + zdelta2 * zkmpm(ji) |
|---|
| 1032 | zkmpm(ji) = ( 1.0 - zdelta ) * zvisc(ji,2) + zdelta * ztemp |
|---|
| 1033 | ztemp = ( 1.0 - 2.0 * zdelta + zdelta2 ) * zkm1t + zdelta2 * zkmpt(ji) |
|---|
| 1034 | zkmpt(ji) = ( 1.0 - zdelta ) * zdift(ji,2) + zdelta * ztemp |
|---|
| 1035 | #if defined key_zdfddm |
|---|
| 1036 | ztemp = ( 1.0 - 2.0 * zdelta + zdelta2 ) * zkm1s + zdelta2 * zkmps(ji) |
|---|
| 1037 | zkmps(ji) = ( 1.0 - zdelta ) * zdifs(ji,2) + zdelta * ztemp |
|---|
| 1038 | #endif |
|---|
| 1039 | |
|---|
| 1040 | END DO |
|---|
| 1041 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
|---|
| 1042 | ! IV. Compute vertical eddy viscosity and diffusivity coefficients |
|---|
| 1043 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 1044 | |
|---|
| 1045 | DO jk = 2, jkmax |
|---|
| 1046 | |
|---|
| 1047 | ! Compute turbulent velocity scales on the interfaces |
|---|
| 1048 | ! -------------------------------------------------------- |
|---|
| 1049 | DO ji = fs_2, fs_jpim1 |
|---|
| 1050 | zbuofdep = zBo(ji,jj) + zBosol(ji,jj) * zatt1 |
|---|
| 1051 | zstabl = 0.5 + SIGN( 0.5 , zbuofdep ) |
|---|
| 1052 | zbuofdep = zbuofdep + zstabl * epsln |
|---|
| 1053 | zsig = fsdepw(ji,jj,jk) / zhbl(ji) |
|---|
| 1054 | ztemp = zstabl * zsig + ( 1. - zstabl ) * MIN( zsig , epsilon ) |
|---|
| 1055 | zehat = vonk * ztemp * zhbl(ji) * zbuofdep |
|---|
| 1056 | zucube = zustar(ji,jj) * zustar(ji,jj) * zustar(ji,jj) |
|---|
| 1057 | zeta = zehat / ( zucube + epsln ) |
|---|
| 1058 | |
|---|
| 1059 | IF( zehat > 0. ) THEN |
|---|
| 1060 | ! Stable case |
|---|
| 1061 | zws = vonk * zustar(ji,jj) / ( 1.0 + rconc1 * zeta ) |
|---|
| 1062 | zwm = zws |
|---|
| 1063 | ELSE |
|---|
| 1064 | ! Unstable case |
|---|
| 1065 | #if defined key_kpplktb |
|---|
| 1066 | ! use lookup table |
|---|
| 1067 | zd = zehat - dehatmin |
|---|
| 1068 | il = INT( zd / dezehat ) |
|---|
| 1069 | il = MIN( il, nilktbm1 ) |
|---|
| 1070 | il = MAX( il, 1 ) |
|---|
| 1071 | |
|---|
| 1072 | ud = zustar(ji,jj) - ustmin |
|---|
| 1073 | jl = INT( ud / deustar ) |
|---|
| 1074 | jl = MIN( jl, njlktbm1 ) |
|---|
| 1075 | jl = MAX( jl, 1 ) |
|---|
| 1076 | |
|---|
| 1077 | zfrac = zd / dezehat - FLOAT( il ) |
|---|
| 1078 | ufrac = ud / deustar - FLOAT( jl ) |
|---|
| 1079 | zwas = ( 1. - zfrac ) * wslktb(il,jl+1) + zfrac * wslktb(il+1,jl+1) |
|---|
| 1080 | zwbs = ( 1. - zfrac ) * wslktb(il,jl ) + zfrac * wslktb(il+1,jl ) |
|---|
| 1081 | zwam = ( 1. - zfrac ) * wmlktb(il,jl+1) + zfrac * wmlktb(il+1,jl+1) |
|---|
| 1082 | zwbm = ( 1. - zfrac ) * wmlktb(il,jl ) + zfrac * wmlktb(il+1,jl ) |
|---|
| 1083 | ! |
|---|
| 1084 | zws = ( 1. - ufrac ) * zwbs + ufrac * zwas |
|---|
| 1085 | zwm = ( 1. - ufrac ) * zwbm + ufrac * zwam |
|---|
| 1086 | #else |
|---|
| 1087 | ! use analytical functions |
|---|
| 1088 | zconm = 0.5 + SIGN( 0.5, ( rzetam - zeta) ) |
|---|
| 1089 | zcons = 0.5 + SIGN( 0.5, ( rzetas - zeta) ) |
|---|
| 1090 | |
|---|
| 1091 | ! Momentum : zeta < rzetam (zconm = 1) |
|---|
| 1092 | ! Scalars : zeta < rzetas (zcons = 1) |
|---|
| 1093 | zwconm = zustar(ji,jj) * vonk * ( ( ABS( rconam - rconcm * zeta) )**pthird ) |
|---|
| 1094 | zwcons = zustar(ji,jj) * vonk * ( ( ABS( rconas - rconcs * zeta) )**pthird ) |
|---|
| 1095 | |
|---|
| 1096 | ! Momentum : rzetam <= zeta < 0 (zconm = 0) |
|---|
| 1097 | ! Scalars : rzetas <= zeta < 0 (zcons = 0) |
|---|
| 1098 | zwmun = SQRT( ABS( 1.0 - rconc2 * zeta ) ) |
|---|
| 1099 | zwsun = vonk * zustar(ji,jj) * zwmun |
|---|
| 1100 | zwmun = vonk * zustar(ji,jj) * SQRT(zwmun) |
|---|
| 1101 | ! |
|---|
| 1102 | zwm = zconm * zwconm + ( 1.0 - zconm ) * zwmun |
|---|
| 1103 | zws = zcons * zwcons + ( 1.0 - zcons ) * zwsun |
|---|
| 1104 | |
|---|
| 1105 | #endif |
|---|
| 1106 | ENDIF |
|---|
| 1107 | |
|---|
| 1108 | zblcm(ji,jk) = zhbl(ji) * zwm * zsig * ( 1.0 + zsig * ( za2m(ji) + zsig * za3m(ji) ) ) |
|---|
| 1109 | zblct(ji,jk) = zhbl(ji) * zws * zsig * ( 1.0 + zsig * ( za2t(ji) + zsig * za3t(ji) ) ) |
|---|
| 1110 | #if defined key_zdfddm |
|---|
| 1111 | zblcs(ji,jk) = zhbl(ji) * zws * zsig * ( 1.0 + zsig * ( za2s(ji) + zsig * za3s(ji) ) ) |
|---|
| 1112 | #endif |
|---|
| 1113 | ! Compute Nonlocal transport term = ghats * <ws>o |
|---|
| 1114 | ! ---------------------------------------------------- |
|---|
| 1115 | ghats(ji,jj,jk-1) = ( 1. - zstabl ) * rcg / ( zws * zhbl(ji) + epsln ) * tmask(ji,jj,jk) |
|---|
| 1116 | |
|---|
| 1117 | END DO |
|---|
| 1118 | END DO |
|---|
| 1119 | ! Combine interior and boundary layer coefficients and nonlocal term |
|---|
| 1120 | ! ----------------------------------------------------------------------- |
|---|
| 1121 | DO jk = 2, jpkm1 |
|---|
| 1122 | DO ji = fs_2, fs_jpim1 |
|---|
| 1123 | zflag = zmask(ji,jk) * zmask(ji,jk+1) |
|---|
| 1124 | zviscos(ji,jj,jk) = ( 1.0 - zmask(ji,jk) ) * avmu (ji,jj,jk) & ! interior viscosities |
|---|
| 1125 | & + zflag * zblcm(ji,jk ) & ! boundary layer viscosities |
|---|
| 1126 | & + zmask(ji,jk) * ( 1.0 - zflag ) * zkmpm(ji ) ! viscosity enhancement at W_level near zhbl |
|---|
| 1127 | |
|---|
| 1128 | zviscos(ji,jj,jk) = zviscos(ji,jj,jk) * tmask(ji,jj,jk) |
|---|
| 1129 | |
|---|
| 1130 | |
|---|
| 1131 | zdiffut(ji,jj,jk) = ( 1.0 - zmask(ji,jk) ) * avt (ji,jj,jk) & ! interior diffusivities |
|---|
| 1132 | & + zflag * zblct(ji,jk ) & ! boundary layer diffusivities |
|---|
| 1133 | & + zmask(ji,jk) * ( 1.0 - zflag ) * zkmpt(ji ) ! diffusivity enhancement at W_level near zhbl |
|---|
| 1134 | |
|---|
| 1135 | zdiffut(ji,jj,jk) = zdiffut(ji,jj,jk) * tmask(ji,jj,jk) |
|---|
| 1136 | #if defined key_zdfddm |
|---|
| 1137 | zdiffus(ji,jj,jk) = ( 1.0 - zmask(ji,jk) ) * avs (ji,jj,jk) & ! interior diffusivities |
|---|
| 1138 | & + zflag * zblcs(ji,jk ) & ! boundary layer diffusivities |
|---|
| 1139 | & + zmask(ji,jk) * ( 1.0 - zflag ) * zkmps(ji ) ! diffusivity enhancement at W_level near zhbl |
|---|
| 1140 | |
|---|
| 1141 | zdiffus(ji,jj,jk) = zdiffus(ji,jj,jk) * tmask(ji,jj,jk) |
|---|
| 1142 | #endif |
|---|
| 1143 | ! Non local flux in the boundary layer only |
|---|
| 1144 | ghats(ji,jj,jk-1) = zmask(ji,jk) * ghats(ji,jj,jk-1) |
|---|
| 1145 | |
|---|
| 1146 | ENDDO |
|---|
| 1147 | END DO |
|---|
| 1148 | ! ! =============== |
|---|
| 1149 | END DO ! End of slab |
|---|
| 1150 | ! ! =============== |
|---|
| 1151 | |
|---|
| 1152 | ! Lateral boundary conditions on zvicos and zdiffus (sign unchanged) |
|---|
| 1153 | CALL lbc_lnk( zviscos(:,:,:), 'U', 1. ) ; CALL lbc_lnk( zdiffut(:,:,:), 'W', 1. ) |
|---|
| 1154 | #if defined key_zdfddm |
|---|
| 1155 | CALL lbc_lnk( zdiffus(:,:,:), 'W', 1. ) |
|---|
| 1156 | #endif |
|---|
| 1157 | |
|---|
| 1158 | SELECT CASE ( nave ) |
|---|
| 1159 | ! |
|---|
| 1160 | CASE ( 0 ) ! no viscosity and diffusivity smoothing |
|---|
| 1161 | |
|---|
| 1162 | DO jk = 2, jpkm1 |
|---|
| 1163 | DO jj = 2, jpjm1 |
|---|
| 1164 | DO ji = fs_2, fs_jpim1 |
|---|
| 1165 | avmu(ji,jj,jk) = ( zviscos(ji,jj,jk) + zviscos(ji+1,jj,jk) ) & |
|---|
| 1166 | & / MAX( 1., tmask(ji,jj,jk) + tmask (ji + 1,jj,jk) ) * umask(ji,jj,jk) |
|---|
| 1167 | |
|---|
| 1168 | avmv(ji,jj,jk) = ( zviscos(ji,jj,jk) + zviscos(ji,jj+1,jk) ) & |
|---|
| 1169 | & / MAX( 1., tmask(ji,jj,jk) + tmask (ji,jj+1,jk) ) * vmask(ji,jj,jk) |
|---|
| 1170 | |
|---|
| 1171 | avt (ji,jj,jk) = zdiffut(ji,jj,jk) * tmask(ji,jj,jk) |
|---|
| 1172 | #if defined key_zdfddm |
|---|
| 1173 | avs (ji,jj,jk) = zdiffus(ji,jj,jk) * tmask(ji,jj,jk) |
|---|
| 1174 | #endif |
|---|
| 1175 | END DO |
|---|
| 1176 | END DO |
|---|
| 1177 | END DO |
|---|
| 1178 | |
|---|
| 1179 | CASE ( 1 ) ! viscosity and diffusivity smoothing |
|---|
| 1180 | ! |
|---|
| 1181 | ! ( 1/2 1 1/2 ) ( 1/2 1/2 ) ( 1/2 1 1/2 ) |
|---|
| 1182 | ! avt = 1/8 ( 1 2 1 ) avmu = 1/4 ( 1 1 ) avmv= 1/4 ( 1/2 1 1/2 ) |
|---|
| 1183 | ! ( 1/2 1 1/2 ) ( 1/2 1/2 ) |
|---|
| 1184 | |
|---|
| 1185 | DO jk = 2, jpkm1 |
|---|
| 1186 | DO jj = 2, jpjm1 |
|---|
| 1187 | DO ji = fs_2, fs_jpim1 |
|---|
| 1188 | |
|---|
| 1189 | avmu(ji,jj,jk) = ( zviscos(ji ,jj ,jk) + zviscos(ji+1,jj ,jk) & |
|---|
| 1190 | & +.5*( zviscos(ji ,jj-1,jk) + zviscos(ji+1,jj-1,jk) & |
|---|
| 1191 | & +zviscos(ji ,jj+1,jk) + zviscos(ji+1,jj+1,jk) ) ) * eumean(ji,jj,jk) |
|---|
| 1192 | |
|---|
| 1193 | avmv(ji,jj,jk) = ( zviscos(ji ,jj ,jk) + zviscos(ji ,jj+1,jk) & |
|---|
| 1194 | & +.5*( zviscos(ji-1,jj ,jk) + zviscos(ji-1,jj+1,jk) & |
|---|
| 1195 | & +zviscos(ji+1,jj ,jk) + zviscos(ji+1,jj+1,jk) ) ) * evmean(ji,jj,jk) |
|---|
| 1196 | |
|---|
| 1197 | avt (ji,jj,jk) = ( .5*( zdiffut(ji-1,jj+1,jk) + zdiffut(ji-1,jj-1,jk) & |
|---|
| 1198 | & +zdiffut(ji+1,jj+1,jk) + zdiffut(ji+1,jj-1,jk) ) & |
|---|
| 1199 | & +1.*( zdiffut(ji-1,jj ,jk) + zdiffut(ji ,jj+1,jk) & |
|---|
| 1200 | & +zdiffut(ji ,jj-1,jk) + zdiffut(ji+1,jj ,jk) ) & |
|---|
| 1201 | & +2.* zdiffut(ji ,jj ,jk) ) * etmean(ji,jj,jk) |
|---|
| 1202 | #if defined key_zdfddm |
|---|
| 1203 | avs (ji,jj,jk) = ( .5*( zdiffus(ji-1,jj+1,jk) + zdiffus(ji-1,jj-1,jk) & |
|---|
| 1204 | & +zdiffus(ji+1,jj+1,jk) + zdiffus(ji+1,jj-1,jk) ) & |
|---|
| 1205 | & +1.*( zdiffus(ji-1,jj ,jk) + zdiffus(ji ,jj+1,jk) & |
|---|
| 1206 | & +zdiffus(ji ,jj-1,jk) + zdiffus(ji+1,jj ,jk) ) & |
|---|
| 1207 | & +2.* zdiffus(ji ,jj ,jk) ) * etmean(ji,jj,jk) |
|---|
| 1208 | #endif |
|---|
| 1209 | END DO |
|---|
| 1210 | END DO |
|---|
| 1211 | END DO |
|---|
| 1212 | |
|---|
| 1213 | END SELECT |
|---|
| 1214 | |
|---|
| 1215 | DO jk = 2, jpkm1 ! vertical slab |
|---|
| 1216 | ! |
|---|
| 1217 | ! Minimum value on the eddy diffusivity |
|---|
| 1218 | ! ---------------------------------------- |
|---|
| 1219 | DO jj = 2, jpjm1 |
|---|
| 1220 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 1221 | avt(ji,jj,jk) = MAX( avt(ji,jj,jk), avtb(jk) ) * tmask(ji,jj,jk) |
|---|
| 1222 | #if defined key_zdfddm |
|---|
| 1223 | avs(ji,jj,jk) = MAX( avs(ji,jj,jk), avtb(jk) ) * tmask(ji,jj,jk) |
|---|
| 1224 | #endif |
|---|
| 1225 | END DO |
|---|
| 1226 | END DO |
|---|
| 1227 | |
|---|
| 1228 | ! |
|---|
| 1229 | ! Minimum value on the eddy viscosity |
|---|
| 1230 | ! ---------------------------------------- |
|---|
| 1231 | DO jj = 1, jpj |
|---|
| 1232 | DO ji = 1, jpi |
|---|
| 1233 | avmu(ji,jj,jk) = MAX( avmu(ji,jj,jk), avmb(jk) ) * umask(ji,jj,jk) |
|---|
| 1234 | avmv(ji,jj,jk) = MAX( avmv(ji,jj,jk), avmb(jk) ) * vmask(ji,jj,jk) |
|---|
| 1235 | END DO |
|---|
| 1236 | END DO |
|---|
| 1237 | ! |
|---|
| 1238 | END DO |
|---|
| 1239 | |
|---|
| 1240 | ! Lateral boundary conditions on avt (sign unchanged) |
|---|
| 1241 | CALL lbc_lnk( hkpp(:,:), 'T', 1. ) |
|---|
| 1242 | |
|---|
| 1243 | ! Lateral boundary conditions on avt (sign unchanged) |
|---|
| 1244 | CALL lbc_lnk( avt(:,:,:), 'W', 1. ) |
|---|
| 1245 | #if defined key_zdfddm |
|---|
| 1246 | CALL lbc_lnk( avs(:,:,:), 'W', 1. ) |
|---|
| 1247 | #endif |
|---|
| 1248 | ! Lateral boundary conditions (avmu,avmv) (U- and V- points, sign unchanged) |
|---|
| 1249 | CALL lbc_lnk( avmu(:,:,:), 'U', 1. ) ; CALL lbc_lnk( avmv(:,:,:), 'V', 1. ) |
|---|
| 1250 | |
|---|
| 1251 | IF(ln_ctl) THEN |
|---|
| 1252 | #if defined key_zdfddm |
|---|
| 1253 | CALL prt_ctl(tab3d_1=avt , clinfo1=' kpp - t: ', tab3d_2=avs , clinfo2=' s: ', & |
|---|
| 1254 | & ovlap=1, kdim=jpk) |
|---|
| 1255 | #else |
|---|
| 1256 | CALL prt_ctl(tab3d_1=avt , clinfo1=' kpp - t: ', ovlap=1, kdim=jpk) |
|---|
| 1257 | #endif |
|---|
| 1258 | CALL prt_ctl(tab3d_1=avmu , clinfo1=' u: ', tab3d_2=avmv , clinfo2=' v: ', & |
|---|
| 1259 | & ovlap=1, kdim=jpk) |
|---|
| 1260 | ENDIF |
|---|
| 1261 | |
|---|
| 1262 | END SUBROUTINE zdf_kpp |
|---|
| 1263 | |
|---|
| 1264 | |
|---|
| 1265 | SUBROUTINE tra_kpp |
|---|
| 1266 | !!---------------------------------------------------------------------- |
|---|
| 1267 | !! *** ROUTINE tra_kpp *** |
|---|
| 1268 | !! |
|---|
| 1269 | !! ** Purpose : compute and add to the tracer trend the non-local |
|---|
| 1270 | !! tracer flux |
|---|
| 1271 | !! |
|---|
| 1272 | !! ** Method : ??? |
|---|
| 1273 | !! |
|---|
| 1274 | !! history : |
|---|
| 1275 | !! 9.0 ! 05-11 (G. Madec) Original code |
|---|
| 1276 | !!---------------------------------------------------------------------- |
|---|
| 1277 | !! * Modules used |
|---|
| 1278 | USE oce, ONLY : ztrdt => ua, & ! use ua as 3D workspace |
|---|
| 1279 | ztrds => va ! use va as 3D workspace |
|---|
| 1280 | !!---------------------------------------------------------------------- |
|---|
| 1281 | |
|---|
| 1282 | IF( kt == nit000 ) THEN |
|---|
| 1283 | IF(lwp) WRITE(numout,*) |
|---|
| 1284 | IF(lwp) WRITE(numout,*) 'tra_kpp : KPP non-local tracer fluxes' |
|---|
| 1285 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
|---|
| 1286 | ENDIF |
|---|
| 1287 | |
|---|
| 1288 | |
|---|
| 1289 | ! Save ta and sa trends |
|---|
| 1290 | IF( l_trdtra ) THEN |
|---|
| 1291 | ztrdt(:,:,:) = ta(:,:,:) |
|---|
| 1292 | ztrds(:,:,:) = sa(:,:,:) |
|---|
| 1293 | ENDIF |
|---|
| 1294 | |
|---|
| 1295 | ! add non-local temperature and salinity flux ( in convective case only) |
|---|
| 1296 | DO jk = 1, jpkm1 |
|---|
| 1297 | DO jj = 2, jpjm1 |
|---|
| 1298 | DO ji = fs_2, fs_jpim1 |
|---|
| 1299 | ta(ji,jj,jk) = ta(ji,jj,jk) & |
|---|
| 1300 | & - ( ghats(ji,jj,jk ) * avt(ji,jj,jk ) & |
|---|
| 1301 | & - ghats(ji,jj,jk+1) * avt(ji,jj,jk+1) ) * wt0(ji,jj) / fse3t(ji,jj,jk) |
|---|
| 1302 | sa(ji,jj,jk) = sa(ji,jj,jk) & |
|---|
| 1303 | & - ( ghats(ji,jj,jk ) * fsavs(ji,jj,jk ) & |
|---|
| 1304 | & - ghats(ji,jj,jk+1) * fsavs(ji,jj,jk+1) ) * ws0(ji,jj) / fse3t(ji,jj,jk) |
|---|
| 1305 | END DO |
|---|
| 1306 | END DO |
|---|
| 1307 | END DO |
|---|
| 1308 | |
|---|
| 1309 | ! save the non-local tracer flux trends for diagnostic |
|---|
| 1310 | IF( l_trdtra ) THEN |
|---|
| 1311 | ztrdt(:,:,:) = ta(:,:,:) - ztrdt(:,:,:) |
|---|
| 1312 | ztrds(:,:,:) = sa(:,:,:) - ztrds(:,:,:) |
|---|
| 1313 | !!bug gm jpttdzdf ==> jpttkpp |
|---|
| 1314 | CALL trd_mod(ztrdt, ztrds, jpttdzdf, 'TRA', kt) |
|---|
| 1315 | ENDIF |
|---|
| 1316 | |
|---|
| 1317 | IF(ln_ctl) THEN ! print mean trends (used for debugging) |
|---|
| 1318 | CALL prt_ctl(tab3d_1=ta, clinfo1=' kpp - Ta: ', mask1=tmask, & |
|---|
| 1319 | & tab3d_2=sa, clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra') |
|---|
| 1320 | ENDIF |
|---|
| 1321 | |
|---|
| 1322 | END SUBROUTINE tra_kpp |
|---|
| 1323 | |
|---|
| 1324 | |
|---|
| 1325 | SUBROUTINE zdf_kpp_init |
|---|
| 1326 | !!---------------------------------------------------------------------- |
|---|
| 1327 | !! *** ROUTINE zdf_kpp_init *** |
|---|
| 1328 | !! |
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| 1329 | !! ** Purpose : Initialization of the vertical eddy diffivity and |
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| 1330 | !! viscosity when using a kpp turbulent closure scheme |
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| 1331 | !! |
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| 1332 | !! ** Method : Read the namkpp namelist and check the parameters |
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| 1333 | !! called at the first timestep (nit000) |
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| 1334 | !! |
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| 1335 | !! ** input : Namlist namkpp |
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| 1336 | !! |
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| 1337 | !! |
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| 1338 | !! history : |
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| 1339 | !! 8.1 ! 00-02 (J. Chanut) KPP Mixing |
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| 1340 | !! 9.0 ! 05-01 (C. Ethe) F90 : free form |
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| 1341 | !!---------------------------------------------------------------------- |
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| 1342 | !! * local declarations |
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| 1343 | |
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| 1344 | INTEGER :: & |
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| 1345 | ji, jj, jk ! dummy loop indices |
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| 1346 | |
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| 1347 | #if ! defined key_kppcustom |
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| 1348 | INTEGER :: & |
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| 1349 | jm ! dummy loop indices |
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| 1350 | REAL(wp) :: & !!! tempory scalars |
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| 1351 | zref, zdist |
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| 1352 | #endif |
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| 1353 | |
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| 1354 | #if defined key_kpplktb |
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| 1355 | REAL(wp) :: & !!! tempory scalars |
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| 1356 | zustar, & |
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| 1357 | zucube, zustvk, & |
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| 1358 | zeta, zehat |
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| 1359 | #endif |
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| 1360 | REAL(wp) :: & !!! tempory scalars |
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| 1361 | zhbf |
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| 1362 | LOGICAL :: & |
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| 1363 | ll_kppcustom, & ! 1st ocean level taken as surface layer |
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| 1364 | ll_kpplktb ! Lookup table for turbul. velocity scales |
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| 1365 | |
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| 1366 | NAMELIST/namkpp/ ln_kpprimix, difmiw, difsiw, Riinfty, difri, bvsqcon, difcon, nave, navb |
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| 1367 | |
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| 1368 | !!---------------------------------------------------------------------- |
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| 1369 | |
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| 1370 | ! Read Namelist namtke : Turbulente Kinetic Energy |
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| 1371 | ! -------------------- |
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| 1372 | REWIND ( numnam ) |
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| 1373 | READ ( numnam, namkpp ) |
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| 1374 | |
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| 1375 | ! Parameter control and print |
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| 1376 | ! --------------------------- |
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| 1377 | REWIND( numnam ) |
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| 1378 | READ ( numnam, namkpp ) |
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| 1379 | |
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| 1380 | ! Control print |
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| 1381 | IF(lwp) THEN |
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| 1382 | WRITE(numout,*) |
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| 1383 | WRITE(numout,*) 'zdf_kpp_init : kpp turbulent closure scheme' |
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| 1384 | WRITE(numout,*) '~~~~~~~~~~~~' |
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| 1385 | WRITE(numout,*) ' Namelist namkpp : set tke mixing parameters' |
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| 1386 | WRITE(numout,*) ' Shear instability mixing ln_kpprimix = ', ln_kpprimix |
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| 1387 | WRITE(numout,*) ' max. internal wave viscosity difmiw = ', difmiw |
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| 1388 | WRITE(numout,*) ' max. internal wave diffusivity difsiw = ', difsiw |
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| 1389 | WRITE(numout,*) ' Richardson Number limit for shear instability Riinfty = ', Riinfty |
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| 1390 | WRITE(numout,*) ' max. shear mixing at Rig = 0 difri = ', difri |
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| 1391 | WRITE(numout,*) ' Brunt-Vaisala squared for max. convection bvsqcon = ', bvsqcon |
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| 1392 | WRITE(numout,*) ' max. mix. in interior convec. difcon = ', difcon |
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| 1393 | WRITE(numout,*) ' horizontal average flag nave = ', nave |
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| 1394 | WRITE(numout,*) ' constant background or profile navb = ', navb |
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| 1395 | ENDIF |
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| 1396 | |
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| 1397 | ll_kppcustom = .FALSE. |
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| 1398 | ll_kpplktb = .FALSE. |
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| 1399 | |
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| 1400 | #if defined key_kppcustom |
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| 1401 | ll_kppcustom = .TRUE. |
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| 1402 | #endif |
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| 1403 | #if defined key_kpplktb |
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| 1404 | ll_kpplktb = .TRUE. |
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| 1405 | #endif |
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| 1406 | IF(lwp) THEN |
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| 1407 | WRITE(numout,*) ' Lookup table for turbul. velocity scales ll_kpplktb = ', ll_kpplktb |
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| 1408 | WRITE(numout,*) ' 1st ocean level taken as surface layer ll_kppcustom = ', ll_kppcustom |
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| 1409 | WRITE(numout,*) ' ' |
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| 1410 | ENDIF |
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| 1411 | |
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| 1412 | IF( lk_zdfddm) THEN |
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| 1413 | IF(lwp) THEN |
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| 1414 | WRITE(numout,*) |
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| 1415 | WRITE(numout,*) ' Double diffusion mixing on temperature and salinity ' |
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| 1416 | WRITE(numout,*) ' CAUTION : done in routine zdfkpp, not in routine zdfddm ' |
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| 1417 | WRITE(numout,*) ' ' |
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| 1418 | ENDIF |
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| 1419 | ENDIF |
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| 1420 | |
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| 1421 | |
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| 1422 | |
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| 1423 | !set constants not in namelist |
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| 1424 | !----------------------------- |
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| 1425 | Vtc = rconcv * SQRT( 0.2 / ( rconcs * epsilon ) ) / ( vonk * vonk * Ricr ) |
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| 1426 | rcg = rcstar * vonk * ( rconcs * vonk * epsilon )**pthird |
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| 1427 | |
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| 1428 | IF(lwp) THEN |
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| 1429 | WRITE(numout,*) ' Constant value for unreso. turbul. velocity shear Vtc = ', Vtc |
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| 1430 | WRITE(numout,*) ' Non-dimensional coef. for nonlocal transport rcg = ', rcg |
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| 1431 | WRITE(numout,*) ' ' |
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| 1432 | ENDIF |
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| 1433 | |
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| 1434 | ! ratt is the attenuation coefficient for solar flux |
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| 1435 | ! Should be different is s_coordinate |
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| 1436 | DO jk = 1, jpk |
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| 1437 | zhbf = - fsdept(1,1,jk) * hbf |
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| 1438 | ratt(jk) = 1.0 - ( rabs * EXP( zhbf / xsi1 ) + ( 1.0 - rabs ) * EXP( zhbf / xsi2 ) ) |
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| 1439 | ENDDO |
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| 1440 | |
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| 1441 | ! Horizontal average : initialization of weighting arrays |
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| 1442 | ! ------------------- |
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| 1443 | |
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| 1444 | SELECT CASE ( nave ) |
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| 1445 | |
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| 1446 | CASE ( 0 ) ! no horizontal average |
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| 1447 | IF(lwp) WRITE(numout,*) ' no horizontal average on avt, avmu, avmv' |
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| 1448 | IF(lwp) WRITE(numout,*) ' only in very high horizontal resolution !' |
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| 1449 | ! weighting mean arrays etmean, eumean and evmean |
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| 1450 | ! ( 1 1 ) ( 1 ) |
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| 1451 | ! avt = 1/4 ( 1 1 ) avmu = 1/2 ( 1 1 ) avmv= 1/2 ( 1 ) |
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| 1452 | ! |
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| 1453 | etmean(:,:,:) = 0.e0 |
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| 1454 | eumean(:,:,:) = 0.e0 |
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| 1455 | evmean(:,:,:) = 0.e0 |
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| 1456 | |
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| 1457 | DO jk = 1, jpkm1 |
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| 1458 | DO jj = 2, jpjm1 |
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| 1459 | DO ji = 2, jpim1 ! vector opt. |
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| 1460 | etmean(ji,jj,jk) = tmask(ji,jj,jk) & |
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| 1461 | & / MAX( 1., umask(ji-1,jj ,jk) + umask(ji,jj,jk) & |
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| 1462 | & + vmask(ji ,jj-1,jk) + vmask(ji,jj,jk) ) |
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| 1463 | |
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| 1464 | eumean(ji,jj,jk) = umask(ji,jj,jk) & |
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| 1465 | & / MAX( 1., tmask(ji,jj,jk) + tmask(ji+1,jj ,jk) ) |
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| 1466 | |
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| 1467 | evmean(ji,jj,jk) = vmask(ji,jj,jk) & |
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| 1468 | & / MAX( 1., tmask(ji,jj,jk) + tmask(ji ,jj+1,jk) ) |
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| 1469 | END DO |
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| 1470 | END DO |
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| 1471 | END DO |
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| 1472 | |
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| 1473 | CASE ( 1 ) ! horizontal average |
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| 1474 | IF(lwp) WRITE(numout,*) ' horizontal average on avt, avmu, avmv' |
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| 1475 | ! weighting mean arrays etmean, eumean and evmean |
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| 1476 | ! ( 1/2 1 1/2 ) ( 1/2 1/2 ) ( 1/2 1 1/2 ) |
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| 1477 | ! avt = 1/8 ( 1 2 1 ) avmu = 1/4 ( 1 1 ) avmv= 1/4 ( 1/2 1 1/2 ) |
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| 1478 | ! ( 1/2 1 1/2 ) ( 1/2 1/2 ) |
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| 1479 | etmean(:,:,:) = 0.e0 |
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| 1480 | eumean(:,:,:) = 0.e0 |
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| 1481 | evmean(:,:,:) = 0.e0 |
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| 1482 | |
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| 1483 | DO jk = 1, jpkm1 |
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| 1484 | DO jj = 2, jpjm1 |
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| 1485 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 1486 | etmean(ji,jj,jk) = tmask(ji, jj,jk) & |
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| 1487 | & / MAX( 1., 2.* tmask(ji,jj,jk) & |
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| 1488 | & +.5 * ( tmask(ji-1,jj+1,jk) + tmask(ji-1,jj-1,jk) & |
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| 1489 | & +tmask(ji+1,jj+1,jk) + tmask(ji+1,jj-1,jk) ) & |
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| 1490 | & +1. * ( tmask(ji-1,jj ,jk) + tmask(ji ,jj+1,jk) & |
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| 1491 | & +tmask(ji ,jj-1,jk) + tmask(ji+1,jj ,jk) ) ) |
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| 1492 | |
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| 1493 | eumean(ji,jj,jk) = umask(ji,jj,jk) & |
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| 1494 | & / MAX( 1., tmask(ji,jj ,jk) + tmask(ji+1,jj ,jk) & |
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| 1495 | & +.5 * ( tmask(ji,jj-1,jk) + tmask(ji+1,jj-1,jk) & |
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| 1496 | & +tmask(ji,jj+1,jk) + tmask(ji+1,jj+1,jk) ) ) |
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| 1497 | |
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| 1498 | evmean(ji,jj,jk) = vmask(ji,jj,jk) & |
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| 1499 | & / MAX( 1., tmask(ji ,jj,jk) + tmask(ji ,jj+1,jk) & |
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| 1500 | & +.5 * ( tmask(ji-1,jj,jk) + tmask(ji-1,jj+1,jk) & |
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| 1501 | & +tmask(ji+1,jj,jk) + tmask(ji+1,jj+1,jk) ) ) |
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| 1502 | END DO |
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| 1503 | END DO |
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| 1504 | END DO |
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| 1505 | |
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| 1506 | CASE DEFAULT |
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| 1507 | IF(lwp) WRITE(numout,cform_err) |
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| 1508 | IF(lwp) WRITE(numout,*) ' bad flag value for nave = ', nave |
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| 1509 | nstop = nstop + 1 |
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| 1510 | |
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| 1511 | END SELECT |
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| 1512 | |
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| 1513 | |
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| 1514 | |
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| 1515 | ! Background eddy viscosity and diffusivity profil |
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| 1516 | ! ------------------------------------------------ |
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| 1517 | IF( navb == 0 ) THEN |
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| 1518 | ! Define avmb, avtb from namelist parameter |
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| 1519 | avmb(:) = avm0 |
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| 1520 | avtb(:) = avt0 |
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| 1521 | ELSE |
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| 1522 | ! Background profile of avt (fit a theoretical/observational profile (Krauss 1990) |
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| 1523 | avmb(:) = avm0 |
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| 1524 | avtb(:) = 1.e-5 + 2.8e-8 * gdepw(:) ! m2/s |
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| 1525 | ENDIF |
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| 1526 | |
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| 1527 | ! Increase the background in the surface layers |
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| 1528 | !! avmb(1) = 1. * avmb(1) ; avtb(1) = 1. * avtb(1) |
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| 1529 | !! avmb(2) = 1. * avmb(2) ; avtb(2) = 1. * avtb(2) |
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| 1530 | !! avmb(3) = 1. * avmb(3) ; avtb(3) = 1. * avtb(3) |
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| 1531 | !! avmb(4) = 1. * avmb(4) ; avtb(4) = 1. * avtb(4) |
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| 1532 | |
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| 1533 | |
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| 1534 | ! Initialization of vertical eddy coef. to the background value |
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| 1535 | ! ------------------------------------------------------------- |
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| 1536 | DO jk = 1, jpk |
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| 1537 | avt (:,:,jk) = avtb(jk) * tmask(:,:,jk) |
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| 1538 | avmu(:,:,jk) = avmb(jk) * umask(:,:,jk) |
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| 1539 | avmv(:,:,jk) = avmb(jk) * vmask(:,:,jk) |
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| 1540 | END DO |
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| 1541 | |
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| 1542 | ! zero the surface flux for non local term and kpp mixed layer depth |
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| 1543 | ! ------------------------------------------------------------------ |
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| 1544 | ghats(:,:,:) = 0. |
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| 1545 | wt0 (:,: ) = 0. |
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| 1546 | ws0 (:,: ) = 0. |
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| 1547 | hkpp (:,: ) = 0. ! just a diagnostic (not essential) |
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| 1548 | |
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| 1549 | #if ! defined key_kppcustom |
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| 1550 | ! compute arrays (del, wz) for reference mean values |
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| 1551 | ! (increase speed for vectorization key_kppcustom not defined) |
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| 1552 | del(1:jpk, 1:jpk) = 0. |
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| 1553 | DO jk = 1, jpk |
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| 1554 | zref = epsilon * fsdept(1,1,jk) |
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| 1555 | DO jm = 1 , jpk |
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| 1556 | zdist = zref - fsdepw(1,1,jm) |
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| 1557 | IF( zdist > 0. ) THEN |
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| 1558 | del(jk,jm) = MIN( zdist, fse3t(1,1,jm) ) / zref |
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| 1559 | ELSE |
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| 1560 | del(jk,jm) = 0. |
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| 1561 | ENDIF |
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| 1562 | ENDDO |
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| 1563 | ENDDO |
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| 1564 | #endif |
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| 1565 | |
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| 1566 | #if defined key_kpplktb |
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| 1567 | ! build lookup table for turbulent velocity scales |
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| 1568 | dezehat = ( dehatmax - dehatmin ) / nilktbm1 |
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| 1569 | deustar = ( ustmax - ustmin ) / njlktbm1 |
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| 1570 | |
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| 1571 | DO jj = 1, njlktb |
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| 1572 | zustar = ( jj - 1) * deustar + ustmin |
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| 1573 | zustvk = vonk * zustar |
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| 1574 | zucube = zustar * zustar * zustar |
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| 1575 | DO ji = 1 , nilktb |
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| 1576 | zehat = ( ji - 1 ) * dezehat + dehatmin |
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| 1577 | zeta = zehat / ( zucube + epsln ) |
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| 1578 | IF( zehat >= 0 ) THEN ! Stable case |
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| 1579 | wmlktb(ji,jj) = zustvk / ABS( 1.0 + rconc1 * zeta + epsln ) |
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| 1580 | wslktb(ji,jj) = wmlktb(ji,jj) |
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| 1581 | ELSE ! Unstable case |
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| 1582 | IF( zeta > rzetam ) THEN |
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| 1583 | wmlktb(ji,jj) = zustvk * ABS( 1.0 - rconc2 * zeta )**pfourth |
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| 1584 | ELSE |
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| 1585 | wmlktb(ji,jj) = zustvk * ABS( rconam - rconcm * zeta )**pthird |
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| 1586 | ENDIF |
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| 1587 | |
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| 1588 | IF( zeta > rzetas ) THEN |
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| 1589 | wslktb(ji,jj) = zustvk * SQRT( ABS( 1.0 - rconc2 * zeta ) ) |
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| 1590 | ELSE |
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| 1591 | wslktb(ji,jj) = zustvk * ABS( rconas - rconcs * zeta )**pthird |
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| 1592 | ENDIF |
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| 1593 | ENDIF |
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| 1594 | END DO |
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| 1595 | END DO |
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| 1596 | #endif |
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| 1597 | |
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| 1598 | END SUBROUTINE zdf_kpp_init |
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| 1599 | |
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| 1600 | #else |
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| 1601 | !!---------------------------------------------------------------------- |
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| 1602 | !! Dummy module : NO KPP scheme |
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| 1603 | !!---------------------------------------------------------------------- |
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| 1604 | LOGICAL, PUBLIC, PARAMETER :: lk_zdfkpp = .FALSE. !: KPP flag |
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| 1605 | CONTAINS |
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| 1606 | SUBROUTINE zdf_kpp( kt ) ! Empty routine |
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| 1607 | WRITE(*,*) 'zdf_kpp: You should not have seen this print! error?', kt |
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| 1608 | END SUBROUTINE zdf_kpp |
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| 1609 | SUBROUTINE tra_kpp( kt ) ! Empty routine |
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| 1610 | WRITE(*,*) 'tra_kpp: You should not have seen this print! error?', kt |
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| 1611 | END SUBROUTINE tra_kpp |
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| 1612 | #endif |
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| 1613 | |
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| 1614 | !!====================================================================== |
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| 1615 | END MODULE zdfkpp |
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