[463] | 1 | MODULE zdftke_jki |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE zdftke_jki *** |
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| 4 | !! Ocean physics: vertical mixing coefficient compute from the tke |
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| 5 | !! turbulent closure parameterization |
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| 6 | !!===================================================================== |
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[508] | 7 | !! History : |
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| 8 | !! 9.0 ! 02-08 (G. Madec) autotasking optimization |
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| 9 | !!---------------------------------------------------------------------- |
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[463] | 10 | #if defined key_zdftke || defined key_esopa |
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| 11 | !!---------------------------------------------------------------------- |
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| 12 | !! 'key_zdftke' TKE scheme |
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| 13 | !!---------------------------------------------------------------------- |
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| 14 | !! zdf_tke_jki : update momentum and tracer Kz from a tke scheme |
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| 15 | !! j-k-i loops for NEC autotasking or OpenMP |
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| 16 | !! (used if 'key_mpp_omp' activated) |
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| 17 | !!---------------------------------------------------------------------- |
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| 18 | !! * Modules used |
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| 19 | USE oce ! ocean dynamics and active tracers |
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| 20 | USE dom_oce ! ocean space and time domain |
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| 21 | USE zdf_oce ! ocean vertical physics |
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| 22 | USE zdftke ! ??? |
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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 phycst ! physical constants |
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| 26 | USE taumod ! surface stress |
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| 27 | USE prtctl ! Print control |
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[508] | 28 | USE restart ! only for lrst_oce |
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[463] | 29 | |
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| 30 | IMPLICIT NONE |
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| 31 | PRIVATE |
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| 32 | |
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| 33 | !! * Routine accessibility |
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| 34 | PUBLIC zdf_tke_jki ! routine called by step.F90 |
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| 35 | |
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| 36 | !! * Substitutions |
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| 37 | # include "domzgr_substitute.h90" |
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| 38 | # include "vectopt_loop_substitute.h90" |
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| 39 | !!---------------------------------------------------------------------- |
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| 40 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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| 41 | !!---------------------------------------------------------------------- |
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| 42 | |
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| 43 | CONTAINS |
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| 44 | |
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| 45 | SUBROUTINE zdf_tke_jki( kt ) |
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| 46 | !!---------------------------------------------------------------------- |
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| 47 | !! *** ROUTINE zdf_tke *** |
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| 48 | !! |
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| 49 | !! ** Purpose : Compute the vertical eddy viscosity and diffusivity |
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| 50 | !! coefficients using a 1.5 turbulent closure scheme. |
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| 51 | !! |
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| 52 | !! ** Method : The time evolution of the turbulent kinetic energy |
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| 53 | !! (tke) is computed from a prognostic equation : |
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| 54 | !! d(en)/dt = eboost eav (d(u)/dz)**2 ! shear production |
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| 55 | !! + d( efave eav d(en)/dz )/dz ! diffusion of tke |
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| 56 | !! + g/rau0 pdl eav d(rau)/dz ! stratif. destruc. |
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| 57 | !! - ediss / emxl en**(2/3) ! dissipation |
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| 58 | !! with the boundary conditions: |
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| 59 | !! surface: en = max( emin0,ebb sqrt(taux^2 + tauy^2) ) |
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| 60 | !! bottom : en = emin |
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| 61 | !! -1- The dissipation and mixing turbulent lengh scales are computed |
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| 62 | !! from the usual diagnostic buoyancy length scale: |
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| 63 | !! mxl= 1/(sqrt(en)/N) WHERE N is the brunt-vaisala frequency |
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| 64 | !! Four cases : |
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| 65 | !! nmxl=0 : mxl bounded by the distance to surface and bottom. |
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| 66 | !! zmxld = zmxlm = mxl |
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| 67 | !! nmxl=1 : mxl bounded by the vertical scale factor. |
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| 68 | !! zmxld = zmxlm = mxl |
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| 69 | !! nmxl=2 : mxl bounded such that the vertical derivative of mxl |
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| 70 | !! is less than 1 (|d/dz(xml)|<1). |
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| 71 | !! zmxld = zmxlm = mxl |
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| 72 | !! nmxl=3 : lup = mxl bounded using |d/dz(xml)|<1 from the surface |
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| 73 | !! to the bottom |
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| 74 | !! ldown = mxl bounded using |d/dz(xml)|<1 from the bottom |
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| 75 | !! to the surface |
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| 76 | !! zmxld = sqrt (lup*ldown) ; zmxlm = min(lup,ldown) |
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| 77 | !! -2- Compute the now Turbulent kinetic energy. The time differencing |
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| 78 | !! is implicit for vertical diffusion term, linearized for kolmo- |
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| 79 | !! goroff dissipation term, and explicit forward for both buoyancy |
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| 80 | !! and dynamic production terms. Thus a tridiagonal linear system is |
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| 81 | !! solved. |
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| 82 | !! Note that - the shear production is multiplied by eboost in order |
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| 83 | !! to set the critic richardson number to ri_c (namelist parameter) |
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| 84 | !! - the destruction by stratification term is multiplied |
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| 85 | !! by the Prandtl number (defined by an empirical funtion of the local |
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| 86 | !! Richardson number) if npdl=1 (namelist parameter) |
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| 87 | !! coefficient (zesh2): |
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| 88 | !! -3- Compute the now vertical eddy vicosity and diffusivity |
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| 89 | !! coefficients from en (before the time stepping) and zmxlm: |
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| 90 | !! avm = max( avtb, ediff*zmxlm*en^1/2 ) |
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| 91 | !! avt = max( avmb, pdl*avm ) (pdl=1 if npdl=0) |
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| 92 | !! eav = max( avmb, avm ) |
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| 93 | !! avt and avm are horizontally averaged to avoid numerical insta- |
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| 94 | !! bilities. |
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| 95 | !! N.B. The computation is done from jk=2 to jpkm1 except for |
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| 96 | !! en. Surface value of avt avmu avmv are set once a time to |
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| 97 | !! their background value in routine zdftke_init. |
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| 98 | !! |
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| 99 | !! ** Action : compute en (now turbulent kinetic energy) |
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| 100 | !! update avt, avmu, avmv (before vertical eddy coeff.) |
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| 101 | !! |
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| 102 | !! References : |
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| 103 | !! Gaspar et al., jgr, 95, 1990, |
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| 104 | !! Blanke and Delecluse, jpo, 1991 |
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| 105 | !!---------------------------------------------------------------------- |
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| 106 | !! * Modules used |
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| 107 | USE oce , zwd => ua, & ! use ua as workspace |
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| 108 | zmxlm => ta, & ! use ta as workspace |
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| 109 | zmxld => sa ! use sa as workspace |
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| 110 | !! * arguments |
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| 111 | INTEGER, INTENT( in ) :: kt ! ocean time step |
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| 112 | |
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| 113 | !! * local declarations |
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| 114 | INTEGER :: ji, jj, jk ! dummy loop arguments |
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| 115 | REAL(wp) :: & |
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| 116 | zmlmin, zbbrau, & ! temporary scalars |
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| 117 | zfact1, zfact2, zfact3, & ! |
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| 118 | zrn2, zesurf, & ! |
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| 119 | ztx2, zty2, zav, & ! |
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| 120 | zcoef, zcof, zsh2, & ! |
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| 121 | zdku, zdkv, zpdl, zri, & ! |
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| 122 | zsqen, zesh2, & ! |
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| 123 | zemxl, zemlm, zemlp |
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| 124 | !!-------------------------------------------------------------------- |
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| 125 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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| 126 | !! $Header$ |
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| 127 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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| 128 | !!-------------------------------------------------------------------- |
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| 129 | |
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| 130 | |
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| 131 | ! 0. Initialization |
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| 132 | ! -------------- |
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| 133 | IF( kt == nit000 ) CALL zdf_tke_init |
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| 134 | |
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| 135 | ! Local constant |
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| 136 | zmlmin = 1.e-8 |
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| 137 | zbbrau = .5 * ebb / rau0 |
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| 138 | zfact1 = -.5 * rdt * efave |
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| 139 | zfact2 = 1.5 * rdt * ediss |
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| 140 | zfact3 = 0.5 * rdt * ediss |
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| 141 | |
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| 142 | |
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| 143 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
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| 144 | ! I. Mixing length |
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| 145 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 146 | |
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| 147 | ! ! =============== |
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| 148 | DO jj = 2, jpjm1 ! Vertical slab |
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| 149 | ! ! =============== |
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| 150 | ! Buoyancy length scale: l=sqrt(2*e/n**2) |
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| 151 | ! --------------------- |
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| 152 | zmxlm(:,jj, 1 ) = zmlmin ! surface set to the minimum value |
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| 153 | zmxlm(:,jj,jpk) = zmlmin ! bottom set to the minimum value |
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| 154 | !CDIR NOVERRCHK |
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| 155 | DO jk = 2, jpkm1 |
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| 156 | !CDIR NOVERRCHK |
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| 157 | DO ji = 2, jpim1 |
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| 158 | zrn2 = MAX( rn2(ji,jj,jk), rsmall ) |
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| 159 | zmxlm(ji,jj,jk) = MAX( SQRT( 2. * en(ji,jj,jk) / zrn2 ), zmlmin ) |
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| 160 | END DO |
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| 161 | END DO |
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| 162 | |
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| 163 | |
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| 164 | ! Physical limits for the mixing length |
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| 165 | ! ------------------------------------- |
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| 166 | zmxld(:,jj, 1 ) = zmlmin ! surface set to the minimum value |
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| 167 | zmxld(:,jj,jpk) = zmlmin ! bottom set to the minimum value |
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| 168 | |
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| 169 | SELECT CASE ( nmxl ) |
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| 170 | |
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| 171 | CASE ( 0 ) ! bounded by the distance to surface and bottom |
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| 172 | |
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| 173 | DO jk = 2, jpkm1 |
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| 174 | DO ji = 2, jpim1 |
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| 175 | zemxl = MIN( fsdepw(ji,jj,jk), zmxlm(ji,jj,jk), & |
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| 176 | & fsdepw(ji,jj,mbathy(ji,jj)) - fsdepw(ji,jj,jk) ) |
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| 177 | zmxlm(ji,jj,jk) = zemxl |
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| 178 | zmxld(ji,jj,jk) = zemxl |
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| 179 | END DO |
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| 180 | END DO |
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| 181 | |
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| 182 | CASE ( 1 ) ! bounded by the vertical scale factor |
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| 183 | |
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| 184 | DO jk = 2, jpkm1 |
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| 185 | DO ji = 2, jpim1 |
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| 186 | zemxl = MIN( fse3w(ji,jj,jk), zmxlm(ji,jj,jk) ) |
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| 187 | zmxlm(ji,jj,jk) = zemxl |
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| 188 | zmxld(ji,jj,jk) = zemxl |
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| 189 | END DO |
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| 190 | END DO |
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| 191 | |
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| 192 | CASE ( 2 ) ! |dk[xml]| bounded by e3t : |
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| 193 | |
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| 194 | DO jk = 2, jpk ! from the surface to the bottom : |
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| 195 | DO ji = 2, jpim1 |
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| 196 | zmxlm(ji,jj,jk) = MIN( zmxlm(ji,jj,jk-1) + fse3t(ji,jj,jk-1), zmxlm(ji,jj,jk) ) |
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| 197 | END DO |
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| 198 | END DO |
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| 199 | DO jk = jpkm1, 2, -1 ! from the bottom to the surface : |
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| 200 | DO ji = 2, jpim1 |
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| 201 | zemxl = MIN( zmxlm(ji,jj,jk+1) + fse3t(ji,jj,jk+1), zmxlm(ji,jj,jk) ) |
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| 202 | zmxlm(ji,jj,jk) = zemxl |
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| 203 | zmxld(ji,jj,jk) = zemxl |
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| 204 | END DO |
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| 205 | END DO |
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| 206 | |
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| 207 | CASE ( 3 ) ! lup and ldown, |dk[xml]| bounded by e3t : |
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| 208 | |
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| 209 | DO jk = 2, jpk ! from the surface to the bottom : lup |
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| 210 | DO ji = 2, jpim1 |
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| 211 | zmxld(ji,jj,jk) = MIN( zmxld(ji,jj,jk-1) + fse3t(ji,jj,jk-1), zmxlm(ji,jj,jk) ) |
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| 212 | END DO |
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| 213 | END DO |
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| 214 | DO jk = jpkm1, 1, -1 ! from the bottom to the surface : ldown |
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| 215 | DO ji = 2, jpim1 |
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| 216 | zmxlm(ji,jj,jk) = MIN( zmxlm(ji,jj,jk+1) + fse3t(ji,jj,jk+1), zmxlm(ji,jj,jk) ) |
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| 217 | END DO |
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| 218 | END DO |
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| 219 | !CDIR NOVERRCHK |
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| 220 | DO jk = 1, jpk |
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| 221 | !CDIR NOVERRCHK |
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| 222 | DO ji = 2, jpim1 |
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| 223 | zemlm = MIN ( zmxld(ji,jj,jk), zmxlm(ji,jj,jk) ) |
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| 224 | zemlp = SQRT( zmxld(ji,jj,jk) * zmxlm(ji,jj,jk) ) |
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| 225 | zmxlm(ji,jj,jk) = zemlm |
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| 226 | zmxld(ji,jj,jk) = zemlp |
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| 227 | END DO |
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| 228 | END DO |
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| 229 | |
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| 230 | END SELECT |
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| 231 | |
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| 232 | |
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| 233 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
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| 234 | ! II Tubulent kinetic energy time stepping |
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| 235 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 236 | |
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| 237 | |
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| 238 | ! 1. Vertical eddy viscosity on tke (put in zmxlm) and first estimate of avt |
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| 239 | ! --------------------------------------------------------------------- |
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| 240 | !CDIR NOVERRCHK |
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| 241 | DO jk = 2, jpkm1 |
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| 242 | !CDIR NOVERRCHK |
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| 243 | DO ji = 2, jpim1 |
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| 244 | zsqen = SQRT( en(ji,jj,jk) ) |
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| 245 | zav = ediff * zmxlm(ji,jj,jk) * zsqen |
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| 246 | avt (ji,jj,jk) = MAX( zav, avtb(jk) ) * tmask(ji,jj,jk) |
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| 247 | zmxlm(ji,jj,jk) = MAX( zav, avmb(jk) ) * tmask(ji,jj,jk) |
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| 248 | zmxld(ji,jj,jk) = zsqen / zmxld(ji,jj,jk) |
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| 249 | END DO |
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| 250 | END DO |
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| 251 | |
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| 252 | |
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| 253 | ! 2. Surface boundary condition on tke and its eddy viscosity (zmxlm) |
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| 254 | ! ------------------------------------------------- |
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| 255 | ! en(1) = ebb sqrt(taux^2+tauy^2) / rau0 (min value emin0) |
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| 256 | ! zmxlm(1) = avmb(1) and zmxlm(jpk) = 0. |
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| 257 | !CDIR NOVERRCHK |
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| 258 | DO ji = 2, jpim1 |
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| 259 | ztx2 = taux(ji-1,jj ) + taux(ji,jj) |
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| 260 | zty2 = tauy(ji ,jj-1) + tauy(ji,jj) |
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| 261 | zesurf = zbbrau * SQRT( ztx2 * ztx2 + zty2 * zty2 ) |
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| 262 | en (ji,jj,1) = MAX( zesurf, emin0 ) * tmask(ji,jj,1) |
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| 263 | zmxlm(ji,jj,1 ) = avmb(1) * tmask(ji,jj,1) |
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| 264 | zmxlm(ji,jj,jpk) = 0.e0 |
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| 265 | END DO |
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| 266 | |
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| 267 | |
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| 268 | ! 3. Now Turbulent kinetic energy (output in en) |
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| 269 | ! ------------------------------- |
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| 270 | ! Resolution of a tridiagonal linear system by a "methode de chasse" |
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| 271 | ! computation from level 2 to jpkm1 (e(1) already computed and |
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| 272 | ! e(jpk)=0 ). |
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| 273 | |
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| 274 | SELECT CASE ( npdl ) |
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| 275 | |
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| 276 | CASE ( 0 ) ! No Prandtl number |
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| 277 | DO jk = 2, jpkm1 |
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| 278 | DO ji = 2, jpim1 |
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| 279 | ! zesh2 = eboost * (du/dz)^2 - N^2 |
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| 280 | zcoef = 0.5 / fse3w(ji,jj,jk) |
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| 281 | ! shear |
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| 282 | zdku = zcoef * ( ub(ji-1, jj ,jk-1) + ub(ji,jj,jk-1) & |
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| 283 | & - ub(ji-1, jj ,jk ) - ub(ji,jj,jk ) ) |
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| 284 | zdkv = zcoef * ( vb( ji ,jj-1,jk-1) + vb(ji,jj,jk-1) & |
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| 285 | & - vb( ji ,jj-1,jk ) - vb(ji,jj,jk ) ) |
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| 286 | ! coefficient (zesh2) |
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| 287 | zesh2 = eboost * ( zdku*zdku + zdkv*zdkv ) - rn2(ji,jj,jk) |
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| 288 | |
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| 289 | ! Matrix |
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| 290 | zcof = zfact1 * tmask(ji,jj,jk) |
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| 291 | ! lower diagonal |
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| 292 | avmv(ji,jj,jk) = zcof * ( zmxlm(ji,jj,jk ) + zmxlm(ji,jj,jk-1) ) & |
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| 293 | & / ( fse3t(ji,jj,jk-1) * fse3w(ji,jj,jk ) ) |
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| 294 | ! upper diagonal |
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| 295 | avmu(ji,jj,jk) = zcof * ( zmxlm(ji,jj,jk+1) + zmxlm(ji,jj,jk ) ) & |
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| 296 | & / ( fse3t(ji,jj,jk ) * fse3w(ji,jj,jk) ) |
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| 297 | ! diagonal |
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| 298 | zwd(ji,jj,jk) = 1. - avmv(ji,jj,jk) - avmu(ji,jj,jk) + zfact2 * zmxld(ji,jj,jk) |
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| 299 | ! right hand side in en |
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| 300 | en(ji,jj,jk) = en(ji,jj,jk) + zfact3 * zmxld(ji,jj,jk) * en (ji,jj,jk) & |
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| 301 | & + rdt * zmxlm(ji,jj,jk) * zesh2 |
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| 302 | END DO |
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| 303 | END DO |
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| 304 | |
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| 305 | CASE ( 1 ) ! Prandtl number |
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| 306 | DO jk = 2, jpkm1 |
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| 307 | DO ji = 2, jpim1 |
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| 308 | ! zesh2 = eboost * (du/dz)^2 - pdl * N^2 |
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| 309 | zcoef = 0.5 / fse3w(ji,jj,jk) |
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| 310 | ! shear |
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| 311 | zdku = zcoef * ( ub(ji-1,jj ,jk-1) + ub(ji,jj,jk-1) & |
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| 312 | & - ub(ji-1,jj ,jk ) - ub(ji,jj,jk ) ) |
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| 313 | zdkv = zcoef * ( vb(ji ,jj-1,jk-1) + vb(ji,jj,jk-1) & |
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| 314 | & - vb(ji ,jj-1,jk ) - vb(ji,jj,jk ) ) |
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| 315 | ! square of vertical shear |
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| 316 | zsh2 = zdku * zdku + zdkv * zdkv |
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| 317 | ! Prandtl number |
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| 318 | zri = MAX( rn2(ji,jj,jk), 0. ) / ( zsh2 + 1.e-20 ) |
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| 319 | zpdl = 1.0 |
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| 320 | IF( zri >= 0.2 ) zpdl = 0.2 / zri |
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| 321 | zpdl = MAX( 0.1, zpdl ) |
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| 322 | ! coefficient (esh2) |
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| 323 | zesh2 = eboost * zsh2 - zpdl * rn2(ji,jj,jk) |
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| 324 | |
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| 325 | ! Matrix |
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| 326 | zcof = zfact1 * tmask(ji,jj,jk) |
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| 327 | ! lower diagonal |
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| 328 | avmv(ji,jj,jk) = zcof * ( zmxlm(ji,jj,jk ) + zmxlm(ji,jj,jk-1) ) & |
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| 329 | & / ( fse3t(ji,jj,jk-1) * fse3w(ji,jj,jk ) ) |
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| 330 | ! upper diagonal |
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| 331 | avmu(ji,jj,jk) = zcof * ( zmxlm(ji,jj,jk+1) + zmxlm(ji,jj,jk ) ) & |
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| 332 | & / ( fse3t(ji,jj,jk ) * fse3w(ji,jj,jk) ) |
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| 333 | ! diagonal |
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| 334 | zwd(ji,jj,jk) = 1. - avmv(ji,jj,jk) - avmu(ji,jj,jk) + zfact2 * zmxld(ji,jj,jk) |
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| 335 | ! right hand side in en |
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| 336 | en(ji,jj,jk) = en(ji,jj,jk) + zfact3 * zmxld(ji,jj,jk) * en (ji,jj,jk) & |
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| 337 | & + rdt * zmxlm(ji,jj,jk) * zesh2 |
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| 338 | ! save masked Prandlt number in zmxlm array |
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| 339 | zmxld(ji,jj,jk) = zpdl * tmask(ji,jj,jk) |
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| 340 | END DO |
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| 341 | END DO |
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| 342 | |
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| 343 | END SELECT |
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| 344 | |
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| 345 | |
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| 346 | ! 4. Matrix inversion from level 2 (tke prescribed at level 1) |
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| 347 | !--------------------------------- |
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| 348 | |
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| 349 | ! First recurrence : Dk = Dk - Lk * Uk-1 / Dk-1 |
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| 350 | DO jk = 3, jpkm1 |
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| 351 | DO ji = 2, jpim1 |
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| 352 | zwd(ji,jj,jk) = zwd(ji,jj,jk) - avmv(ji,jj,jk) * avmu(ji,jj,jk-1) / zwd(ji,jj,jk-1) |
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| 353 | END DO |
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| 354 | END DO |
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| 355 | |
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| 356 | ! Second recurrence : Lk = RHSk - Lk / Dk-1 * Lk-1 |
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| 357 | DO ji = 2, jpim1 |
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| 358 | avmv(ji,jj,2) = en(ji,jj,2) - avmv(ji,jj,2) * en(ji,jj,1) ! Surface boudary conditions on tke |
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| 359 | END DO |
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| 360 | DO jk = 3, jpkm1 |
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| 361 | DO ji = 2, jpim1 |
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| 362 | avmv(ji,jj,jk) = en(ji,jj,jk) - avmv(ji,jj,jk) / zwd(ji,jj,jk-1) *avmv(ji,jj,jk-1) |
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| 363 | END DO |
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| 364 | END DO |
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| 365 | |
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| 366 | ! thrid recurrence : Ek = ( Lk - Uk * Ek+1 ) / Dk |
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| 367 | DO ji = 2, jpim1 |
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| 368 | en(ji,jj,jpkm1) = avmv(ji,jj,jpkm1) / zwd(ji,jj,jpkm1) |
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| 369 | END DO |
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| 370 | DO jk = jpk-2, 2, -1 |
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| 371 | DO ji = 2, jpim1 |
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| 372 | en(ji,jj,jk) = ( avmv(ji,jj,jk) - avmu(ji,jj,jk) * en(ji,jj,jk+1) ) / zwd(ji,jj,jk) |
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| 373 | END DO |
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| 374 | END DO |
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| 375 | |
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| 376 | ! Save the result in en and set minimum value of tke : emin |
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| 377 | DO jk = 2, jpkm1 |
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| 378 | DO ji = 2, jpim1 |
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| 379 | en(ji,jj,jk) = MAX( en(ji,jj,jk), emin ) * tmask(ji,jj,jk) |
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| 380 | END DO |
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| 381 | END DO |
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| 382 | ! ! =============== |
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| 383 | END DO ! End of slab |
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| 384 | ! ! =============== |
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| 385 | |
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| 386 | ! Lateral boundary conditions on ( avt, en ) (sign unchanged) |
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| 387 | ! --------------------------------========= |
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| 388 | CALL lbc_lnk( avt, 'W', 1. ) ; CALL lbc_lnk( en , 'W', 1. ) |
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| 389 | |
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| 390 | |
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| 391 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
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| 392 | ! III. Before vertical eddy vicosity and diffusivity coefficients |
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| 393 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 394 | |
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| 395 | ! ! =============== |
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| 396 | DO jk = 2, jpkm1 ! Horizontal slab |
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| 397 | ! ! =============== |
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| 398 | SELECT CASE ( nave ) |
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| 399 | |
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| 400 | CASE ( 0 ) ! no horizontal average |
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| 401 | |
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| 402 | ! Vertical eddy viscosity |
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| 403 | |
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| 404 | DO jj = 2, jpjm1 |
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| 405 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 406 | avmu(ji,jj,jk) = ( avt (ji,jj,jk) + avt (ji+1,jj ,jk) ) * umask(ji,jj,jk) & |
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| 407 | & / MAX( 1., tmask(ji,jj,jk) + tmask(ji+1,jj ,jk) ) |
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| 408 | avmv(ji,jj,jk) = ( avt (ji,jj,jk) + avt (ji ,jj+1,jk) ) * vmask(ji,jj,jk) & |
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| 409 | & / MAX( 1., tmask(ji,jj,jk) + tmask(ji ,jj+1,jk) ) |
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| 410 | END DO |
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| 411 | END DO |
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| 412 | |
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| 413 | |
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| 414 | CASE ( 1 ) ! horizontal average |
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| 415 | |
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| 416 | ! ( 1/2 1/2 ) |
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| 417 | ! Eddy viscosity: horizontal average: avmu = 1/4 ( 1 1 ) |
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| 418 | ! ( 1/2 1 1/2 ) ( 1/2 1/2 ) |
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| 419 | ! avmv = 1/4 ( 1/2 1 1/2 ) |
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| 420 | |
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| 421 | !! caution vectopt_memory change the solution (last digit of the solver stat) |
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| 422 | # if defined key_vectopt_memory |
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| 423 | DO jj = 2, jpjm1 |
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| 424 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 425 | avmu(ji,jj,jk) = ( avt(ji,jj ,jk) + avt(ji+1,jj ,jk) & |
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| 426 | & +.5*( avt(ji,jj-1,jk) + avt(ji+1,jj-1,jk) & |
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| 427 | & +avt(ji,jj+1,jk) + avt(ji+1,jj+1,jk) ) ) * eumean(ji,jj,jk) |
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| 428 | |
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| 429 | avmv(ji,jj,jk) = ( avt(ji ,jj,jk) + avt(ji ,jj+1,jk) & |
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| 430 | & +.5*( avt(ji-1,jj,jk) + avt(ji-1,jj+1,jk) & |
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| 431 | & +avt(ji+1,jj,jk) + avt(ji+1,jj+1,jk) ) ) * evmean(ji,jj,jk) |
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| 432 | END DO |
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| 433 | END DO |
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| 434 | # else |
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| 435 | DO jj = 2, jpjm1 |
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| 436 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 437 | avmu(ji,jj,jk) = ( avt (ji,jj ,jk) + avt (ji+1,jj ,jk) & |
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| 438 | & +.5*( avt (ji,jj-1,jk) + avt (ji+1,jj-1,jk) & |
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| 439 | & +avt (ji,jj+1,jk) + avt (ji+1,jj+1,jk) ) ) * umask(ji,jj,jk) & |
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| 440 | & / MAX( 1., tmask(ji,jj ,jk) + tmask(ji+1,jj ,jk) & |
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| 441 | & +.5*( tmask(ji,jj-1,jk) + tmask(ji+1,jj-1,jk) & |
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| 442 | & +tmask(ji,jj+1,jk) + tmask(ji+1,jj+1,jk) ) ) |
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| 443 | |
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| 444 | avmv(ji,jj,jk) = ( avt (ji ,jj,jk) + avt (ji ,jj+1,jk) & |
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| 445 | & +.5*( avt (ji-1,jj,jk) + avt (ji-1,jj+1,jk) & |
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| 446 | & +avt (ji+1,jj,jk) + avt (ji+1,jj+1,jk) ) ) * vmask(ji,jj,jk) & |
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| 447 | & / MAX( 1., tmask(ji ,jj,jk) + tmask(ji ,jj+1,jk) & |
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| 448 | & +.5*( tmask(ji-1,jj,jk) + tmask(ji-1,jj+1,jk) & |
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| 449 | & +tmask(ji+1,jj,jk) + tmask(ji+1,jj+1,jk) ) ) |
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| 450 | END DO |
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| 451 | END DO |
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| 452 | # endif |
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| 453 | END SELECT |
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| 454 | ! ! =============== |
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| 455 | END DO ! End of slab |
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| 456 | ! ! =============== |
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| 457 | |
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| 458 | ! Lateral boundary conditions (avmu,avmv) (sign unchanged) |
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| 459 | CALL lbc_lnk( avmu, 'U', 1. ) ; CALL lbc_lnk( avmv, 'V', 1. ) |
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| 460 | |
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| 461 | ! ! =============== |
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| 462 | DO jk = 2, jpkm1 ! Horizontal slab |
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| 463 | ! ! =============== |
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| 464 | SELECT CASE ( nave ) |
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| 465 | |
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| 466 | CASE ( 1 ) ! horizontal average |
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| 467 | |
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| 468 | ! Vertical eddy diffusivity |
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| 469 | ! ------------------------------ |
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| 470 | ! (1 2 1) |
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| 471 | ! horizontal average avt = 1/16 (2 4 2) |
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| 472 | ! (1 2 1) |
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| 473 | !! caution vectopt_memory change the solution (last digit of the solver stat) |
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| 474 | # if defined key_vectopt_memory |
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| 475 | DO jj = 2, jpjm1 |
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| 476 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 477 | avt(ji,jj,jk) = ( avmu(ji,jj,jk) + avmu(ji-1,jj ,jk) & |
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| 478 | & + avmv(ji,jj,jk) + avmv(ji ,jj-1,jk) ) * etmean(ji,jj,jk) |
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| 479 | END DO |
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| 480 | END DO |
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| 481 | # else |
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| 482 | DO jj = 2, jpjm1 |
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| 483 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 484 | avt(ji,jj,jk) = ( avmu (ji,jj,jk) + avmu (ji-1,jj ,jk) & |
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| 485 | & + avmv (ji,jj,jk) + avmv (ji ,jj-1,jk) ) * tmask(ji,jj,jk) & |
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| 486 | & / MAX( 1., umask(ji,jj,jk) + umask(ji-1,jj ,jk) & |
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| 487 | & + vmask(ji,jj,jk) + vmask(ji ,jj-1,jk) ) |
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| 488 | END DO |
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| 489 | END DO |
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| 490 | # endif |
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| 491 | END SELECT |
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| 492 | |
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| 493 | |
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| 494 | ! multiplied by the Prandtl number (npdl>1) |
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| 495 | ! ---------------------------------------- |
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| 496 | IF( npdl == 1 ) THEN |
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| 497 | DO jj = 2, jpjm1 |
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| 498 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 499 | zpdl = zmxld(ji,jj,jk) |
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| 500 | avt(ji,jj,jk) = MAX( zpdl * avt(ji,jj,jk), avtb(jk) ) * tmask(ji,jj,jk) |
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| 501 | END DO |
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| 502 | END DO |
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| 503 | ENDIF |
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| 504 | |
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| 505 | ! Minimum value on the eddy viscosity |
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| 506 | ! ---------------------------------------- |
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| 507 | DO jj = 1, jpj |
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| 508 | DO ji = 1, jpi |
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| 509 | avmu(ji,jj,jk) = MAX( avmu(ji,jj,jk), avmb(jk) ) * umask(ji,jj,jk) |
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| 510 | avmv(ji,jj,jk) = MAX( avmv(ji,jj,jk), avmb(jk) ) * vmask(ji,jj,jk) |
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| 511 | END DO |
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| 512 | END DO |
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| 513 | ! ! =============== |
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| 514 | END DO ! End of slab |
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| 515 | ! ! =============== |
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| 516 | |
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| 517 | |
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| 518 | ! Lateral boundary conditions on avt (W-point (=T), sign unchanged) |
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| 519 | ! ------------------------------===== |
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| 520 | CALL lbc_lnk( avt, 'W', 1. ) |
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| 521 | |
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[508] | 522 | ! write en in restart file |
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| 523 | ! ------------------------ |
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| 524 | IF( lrst_oce ) CALL tke_rst( kt, 'WRITE' ) |
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| 525 | |
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[463] | 526 | IF(ln_ctl) THEN |
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| 527 | CALL prt_ctl(tab3d_1=en , clinfo1=' tke - e: ', tab3d_2=avt , clinfo2=' t: ', ovlap=1, kdim=jpk) |
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| 528 | CALL prt_ctl(tab3d_1=avmu, clinfo1=' tke - u: ', tab3d_2=avmv, clinfo2=' v: ', ovlap=1, kdim=jpk) |
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| 529 | ENDIF |
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| 530 | |
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| 531 | END SUBROUTINE zdf_tke_jki |
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| 532 | |
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| 533 | #else |
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| 534 | !!---------------------------------------------------------------------- |
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| 535 | !! Dummy module : NO TKE scheme |
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| 536 | !!---------------------------------------------------------------------- |
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| 537 | CONTAINS |
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| 538 | SUBROUTINE zdf_tke_jki( kt ) ! Empty routine |
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| 539 | WRITE(*,*) 'zdf_tke_jki: You should not have seen this print! error?', kt |
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| 540 | END SUBROUTINE zdf_tke_jki |
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| 541 | #endif |
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| 542 | |
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| 543 | !!====================================================================== |
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| 544 | END MODULE zdftke_jki |
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