[3] | 1 | MODULE dynldf_bilapg |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE dynldf_bilapg *** |
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| 4 | !! Ocean dynamics: lateral viscosity trend |
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| 5 | !!====================================================================== |
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[2715] | 6 | !! History : OPA ! 1997-07 (G. Madec) Original code |
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| 7 | !! NEMO 1.0 ! 2002-08 (G. Madec) F90: Free form and module |
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| 8 | !! 2.0 ! 2004-08 (C. Talandier) New trends organization |
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| 9 | !!---------------------------------------------------------------------- |
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[3] | 10 | #if defined key_ldfslp || defined key_esopa |
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| 11 | !!---------------------------------------------------------------------- |
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| 12 | !! 'key_ldfslp' Rotation of mixing tensor |
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| 13 | !!---------------------------------------------------------------------- |
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| 14 | !! dyn_ldf_bilapg : update the momentum trend with the horizontal part |
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| 15 | !! of the horizontal s-coord. bilaplacian diffusion |
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| 16 | !! ldfguv : |
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| 17 | !!---------------------------------------------------------------------- |
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| 18 | USE oce ! ocean dynamics and tracers |
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| 19 | USE dom_oce ! ocean space and time domain |
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| 20 | USE ldfdyn_oce ! ocean dynamics lateral physics |
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| 21 | USE zdf_oce ! ocean vertical physics |
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[216] | 22 | USE trdmod ! ocean dynamics trends |
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| 23 | USE trdmod_oce ! ocean variables trends |
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[3] | 24 | USE ldfslp ! iso-neutral slopes available |
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[2715] | 25 | USE in_out_manager ! I/O manager |
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| 26 | USE lib_mpp ! MPP library |
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[3] | 27 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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[258] | 28 | USE prtctl ! Print control |
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[3] | 29 | |
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| 30 | IMPLICIT NONE |
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| 31 | PRIVATE |
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| 32 | |
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[2715] | 33 | PUBLIC dyn_ldf_bilapg ! called by step.F90 |
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[3] | 34 | |
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[2715] | 35 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: zfuw, zfvw , zdiu, zdiv ! 2D workspace (ldfguv) |
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| 36 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: zdju, zdj1u, zdjv, zdj1v ! 2D workspace (ldfguv) |
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| 37 | |
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[3] | 38 | !! * Substitutions |
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| 39 | # include "domzgr_substitute.h90" |
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| 40 | # include "ldfdyn_substitute.h90" |
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| 41 | !!---------------------------------------------------------------------- |
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[2528] | 42 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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[1152] | 43 | !! $Id$ |
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[2715] | 44 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[3] | 45 | !!---------------------------------------------------------------------- |
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| 46 | CONTAINS |
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| 47 | |
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[2715] | 48 | INTEGER FUNCTION dyn_ldf_bilapg_alloc() |
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| 49 | !!---------------------------------------------------------------------- |
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| 50 | !! *** ROUTINE dyn_ldf_bilapg_alloc *** |
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| 51 | !!---------------------------------------------------------------------- |
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| 52 | ALLOCATE( zfuw(jpi,jpk) , zfvw (jpi,jpk) , zdiu(jpi,jpk) , zdiv (jpi,jpk) , & |
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| 53 | & zdju(jpi,jpk) , zdj1u(jpi,jpk) , zdjv(jpi,jpk) , zdj1v(jpi,jpk) , STAT=dyn_ldf_bilapg_alloc ) |
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| 54 | ! |
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| 55 | IF( dyn_ldf_bilapg_alloc /= 0 ) CALL ctl_warn('dyn_ldf_bilapg_alloc: failed to allocate arrays') |
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| 56 | END FUNCTION dyn_ldf_bilapg_alloc |
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| 57 | |
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| 58 | |
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[3] | 59 | SUBROUTINE dyn_ldf_bilapg( kt ) |
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| 60 | !!---------------------------------------------------------------------- |
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| 61 | !! *** ROUTINE dyn_ldf_bilapg *** |
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| 62 | !! |
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| 63 | !! ** Purpose : Compute the before trend of the horizontal momentum |
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| 64 | !! diffusion and add it to the general trend of momentum equation. |
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| 65 | !! |
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| 66 | !! ** Method : The lateral momentum diffusive trends is provided by a |
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| 67 | !! a 4th order operator rotated along geopotential surfaces. It is |
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| 68 | !! computed using before fields (forward in time) and geopotential |
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| 69 | !! slopes computed in routine inildf. |
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| 70 | !! -1- compute the geopotential harmonic operator applied to |
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| 71 | !! (ub,vb) and multiply it by the eddy diffusivity coefficient |
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| 72 | !! (done by a call to ldfgpu and ldfgpv routines) The result is in |
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[216] | 73 | !! (zwk1,zwk2) arrays. Applied the domain lateral boundary conditions |
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[3] | 74 | !! by call to lbc_lnk. |
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[216] | 75 | !! -2- applied to (zwk1,zwk2) the geopotential harmonic operator |
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[3] | 76 | !! by a second call to ldfgpu and ldfgpv routines respectively. The |
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[216] | 77 | !! result is in (zwk3,zwk4) arrays. |
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[3] | 78 | !! -3- Add this trend to the general trend (ta,sa): |
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[216] | 79 | !! (ua,va) = (ua,va) + (zwk3,zwk4) |
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[3] | 80 | !! 'key_trddyn' defined: the trend is saved for diagnostics. |
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| 81 | !! |
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| 82 | !! ** Action : - Update (ua,va) arrays with the before geopotential |
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| 83 | !! biharmonic mixing trend. |
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[216] | 84 | !! - save the trend in (zwk3,zwk4) ('key_trddyn') |
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[3] | 85 | !!---------------------------------------------------------------------- |
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[2715] | 86 | USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released |
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| 87 | USE wrk_nemo, ONLY: zwk1 => wrk_3d_3 , zwk2 => wrk_3d_4 ! 3D workspace |
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[2977] | 88 | USE oce , ONLY: tsa ! tsa used as 2 3D workspace |
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[2715] | 89 | ! |
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[3] | 90 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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[2715] | 91 | ! |
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[3] | 92 | INTEGER :: ji, jj, jk ! dummy loop indices |
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[2977] | 93 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zwk3, zwk4 |
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[3] | 94 | !!---------------------------------------------------------------------- |
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| 95 | |
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[2715] | 96 | IF( wrk_in_use(3, 3,4) ) THEN |
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| 97 | CALL ctl_stop('dyn_ldf_bilapg: requested workspace arrays unavailable') ; RETURN |
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| 98 | ENDIF |
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[2977] | 99 | ! |
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| 100 | zwk3 => tsa(:,:,:,1) |
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| 101 | zwk4 => tsa(:,:,:,2) |
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| 102 | ! |
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[3] | 103 | IF( kt == nit000 ) THEN |
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| 104 | IF(lwp) WRITE(numout,*) |
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| 105 | IF(lwp) WRITE(numout,*) 'dyn_ldf_bilapg : horizontal biharmonic operator in s-coordinate' |
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| 106 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~' |
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[216] | 107 | zwk1(:,:,:) = 0.e0 ; zwk3(:,:,:) = 0.e0 |
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| 108 | zwk2(:,:,:) = 0.e0 ; zwk4(:,:,:) = 0.e0 |
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[2715] | 109 | ! ! allocate dyn_ldf_bilapg arrays |
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| 110 | IF( dyn_ldf_bilapg_alloc() /= 0 ) CALL ctl_stop('STOP', 'dyn_ldf_bilapg: failed to allocate arrays') |
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[3] | 111 | ENDIF |
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| 112 | |
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| 113 | ! Laplacian of (ub,vb) multiplied by ahm |
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| 114 | ! -------------------------------------- |
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[2715] | 115 | CALL ldfguv( ub, vb, zwk1, zwk2, 1 ) ! rotated harmonic operator applied to (ub,vb) |
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| 116 | ! ! and multiply by ahmu, ahmv (output in (zwk1,zwk2) ) |
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| 117 | CALL lbc_lnk( zwk1, 'U', -1. ) ; CALL lbc_lnk( zwk2, 'V', -1. ) ! Lateral boundary conditions |
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[3] | 118 | |
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| 119 | ! Bilaplacian of (ub,vb) |
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| 120 | ! ---------------------- |
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[2715] | 121 | CALL ldfguv( zwk1, zwk2, zwk3, zwk4, 2 ) ! rotated harmonic operator applied to (zwk1,zwk2) |
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| 122 | ! ! (output in (zwk3,zwk4) ) |
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[3] | 123 | |
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[2715] | 124 | ! Update the momentum trends |
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[3] | 125 | ! -------------------------- |
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[2715] | 126 | DO jj = 2, jpjm1 ! add the diffusive trend to the general momentum trends |
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[3] | 127 | DO jk = 1, jpkm1 |
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| 128 | DO ji = 2, jpim1 |
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[216] | 129 | ua(ji,jj,jk) = ua(ji,jj,jk) + zwk3(ji,jj,jk) |
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| 130 | va(ji,jj,jk) = va(ji,jj,jk) + zwk4(ji,jj,jk) |
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[3] | 131 | END DO |
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| 132 | END DO |
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[2715] | 133 | END DO |
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| 134 | ! |
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| 135 | IF( wrk_not_released(3, 3,4) ) CALL ctl_stop('dyn_ldf_bilapg: failed to release workspace arrays') |
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| 136 | ! |
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[3] | 137 | END SUBROUTINE dyn_ldf_bilapg |
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| 138 | |
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| 139 | |
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| 140 | SUBROUTINE ldfguv( pu, pv, plu, plv, kahm ) |
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| 141 | !!---------------------------------------------------------------------- |
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| 142 | !! *** ROUTINE ldfguv *** |
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| 143 | !! |
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| 144 | !! ** Purpose : Apply a geopotential harmonic operator to (pu,pv) |
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| 145 | !! (defined at u- and v-points) and multiply it by the eddy |
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| 146 | !! viscosity coefficient (if kahm=1). |
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| 147 | !! |
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| 148 | !! ** Method : The harmonic operator rotated along geopotential |
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| 149 | !! surfaces is applied to (pu,pv) using the slopes of geopotential |
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| 150 | !! surfaces computed in inildf routine. The result is provided in |
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| 151 | !! (plu,plv) arrays. It is computed in 2 stepv: |
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| 152 | !! |
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| 153 | !! First step: horizontal part of the operator. It is computed on |
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| 154 | !! ========== pu as follows (idem on pv) |
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| 155 | !! horizontal fluxes : |
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| 156 | !! zftu = e2u*e3u/e1u di[ pu ] - e2u*uslp dk[ mi(mk(pu)) ] |
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| 157 | !! zftv = e1v*e3v/e2v dj[ pu ] - e1v*vslp dk[ mj(mk(pu)) ] |
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| 158 | !! take the horizontal divergence of the fluxes (no divided by |
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| 159 | !! the volume element : |
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| 160 | !! plu = di-1[ zftu ] + dj-1[ zftv ] |
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| 161 | !! |
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| 162 | !! Second step: vertical part of the operator. It is computed on |
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| 163 | !! =========== pu as follows (idem on pv) |
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| 164 | !! vertical fluxes : |
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| 165 | !! zftw = e1t*e2t/e3w * (wslpi^2+wslpj^2) dk-1[ pu ] |
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| 166 | !! - e2t * wslpi di[ mi(mk(pu)) ] |
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| 167 | !! - e1t * wslpj dj[ mj(mk(pu)) ] |
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| 168 | !! take the vertical divergence of the fluxes add it to the hori- |
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| 169 | !! zontal component, divide the result by the volume element and |
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| 170 | !! if kahm=1, multiply by the eddy diffusivity coefficient: |
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| 171 | !! plu = aht / (e1t*e2t*e3t) { plu + dk[ zftw ] } |
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| 172 | !! else: |
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| 173 | !! plu = 1 / (e1t*e2t*e3t) { plu + dk[ zftw ] } |
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| 174 | !! |
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| 175 | !! ** Action : |
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| 176 | !! plu, plv : partial harmonic operator applied to |
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| 177 | !! pu and pv (all the components except |
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| 178 | !! second order vertical derivative term) |
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| 179 | !! 'key_trddyn' defined: the trend is saved for diagnostics. |
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[2715] | 180 | !!---------------------------------------------------------------------- |
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| 181 | USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released |
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| 182 | USE wrk_nemo, ONLY: ziut => wrk_2d_1 , zjuf => wrk_2d_2 , zjvt => wrk_2d_3 |
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| 183 | USE wrk_nemo, ONLY: zivf => wrk_2d_4 , zdku => wrk_2d_5 , zdk1u => wrk_2d_6 |
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| 184 | USE wrk_nemo, ONLY: zdkv => wrk_2d_7 , zdk1v => wrk_2d_8 |
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[3] | 185 | !! |
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[2715] | 186 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in ) :: pu , pv ! 1st call: before horizontal velocity |
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| 187 | ! ! 2nd call: ahm x these fields |
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| 188 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( out) :: plu, plv ! partial harmonic operator applied to |
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| 189 | ! ! pu and pv (all the components except |
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| 190 | ! ! second order vertical derivative term) |
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| 191 | INTEGER , INTENT(in ) :: kahm ! =1 1st call ; =2 2nd call |
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| 192 | ! |
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| 193 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 194 | REAL(wp) :: zabe1 , zabe2 , zcof1 , zcof2 ! local scalar |
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| 195 | REAL(wp) :: zcoef0, zcoef3, zcoef4 ! - - |
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| 196 | REAL(wp) :: zbur, zbvr, zmkt, zmkf, zuav, zvav ! - - |
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| 197 | REAL(wp) :: zuwslpi, zuwslpj, zvwslpi, zvwslpj ! - - |
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[3] | 198 | !!---------------------------------------------------------------------- |
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| 199 | |
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[2715] | 200 | IF( wrk_in_use(2, 1,2,3,4,5,6,7,8) ) THEN |
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| 201 | CALL ctl_stop('dyn:ldfguv: requested workspace arrays unavailable') ; RETURN |
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| 202 | END IF |
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[3] | 203 | ! ! ********** ! ! =============== |
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| 204 | DO jk = 1, jpkm1 ! First step ! ! Horizontal slab |
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| 205 | ! ! ********** ! ! =============== |
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| 206 | |
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| 207 | ! I.1 Vertical gradient of pu and pv at level jk and jk+1 |
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| 208 | ! ------------------------------------------------------- |
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| 209 | ! surface boundary condition: zdku(jk=1)=zdku(jk=2) |
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| 210 | ! zdkv(jk=1)=zdkv(jk=2) |
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| 211 | |
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| 212 | zdk1u(:,:) = ( pu(:,:,jk) - pu(:,:,jk+1) ) * umask(:,:,jk+1) |
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| 213 | zdk1v(:,:) = ( pv(:,:,jk) - pv(:,:,jk+1) ) * vmask(:,:,jk+1) |
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| 214 | |
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| 215 | IF( jk == 1 ) THEN |
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| 216 | zdku(:,:) = zdk1u(:,:) |
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| 217 | zdkv(:,:) = zdk1v(:,:) |
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| 218 | ELSE |
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| 219 | zdku(:,:) = ( pu(:,:,jk-1) - pu(:,:,jk) ) * umask(:,:,jk) |
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| 220 | zdkv(:,:) = ( pv(:,:,jk-1) - pv(:,:,jk) ) * vmask(:,:,jk) |
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| 221 | ENDIF |
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| 222 | |
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| 223 | ! -----f----- |
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| 224 | ! I.2 Horizontal fluxes on U | |
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| 225 | ! ------------------------=== t u t |
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| 226 | ! | |
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| 227 | ! i-flux at t-point -----f----- |
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| 228 | DO jj = 1, jpjm1 |
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| 229 | DO ji = 2, jpi |
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| 230 | zabe1 = e2t(ji,jj) * fse3t(ji,jj,jk) / e1t(ji,jj) |
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| 231 | |
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| 232 | zmkt = 1./MAX( umask(ji-1,jj,jk )+umask(ji,jj,jk+1) & |
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| 233 | + umask(ji-1,jj,jk+1)+umask(ji,jj,jk ), 1. ) |
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| 234 | |
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| 235 | zcof1 = -e2t(ji,jj) * zmkt & |
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| 236 | * 0.5 * ( uslp(ji-1,jj,jk) + uslp(ji,jj,jk) ) |
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| 237 | |
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| 238 | ziut(ji,jj) = tmask(ji,jj,jk) * & |
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| 239 | ( zabe1 * ( pu(ji,jj,jk) - pu(ji-1,jj,jk) ) & |
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| 240 | + zcof1 * ( zdku (ji,jj) + zdk1u(ji-1,jj) & |
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| 241 | +zdk1u(ji,jj) + zdku (ji-1,jj) ) ) |
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| 242 | END DO |
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| 243 | END DO |
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| 244 | |
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| 245 | ! j-flux at f-point |
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| 246 | DO jj = 1, jpjm1 |
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| 247 | DO ji = 1, jpim1 |
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| 248 | zabe2 = e1f(ji,jj) * fse3f(ji,jj,jk) / e2f(ji,jj) |
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| 249 | |
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| 250 | zmkf = 1./MAX( umask(ji,jj+1,jk )+umask(ji,jj,jk+1) & |
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| 251 | + umask(ji,jj+1,jk+1)+umask(ji,jj,jk ), 1. ) |
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| 252 | |
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| 253 | zcof2 = -e1f(ji,jj) * zmkf & |
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| 254 | * 0.5 * ( vslp(ji+1,jj,jk) + vslp(ji,jj,jk) ) |
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| 255 | |
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| 256 | zjuf(ji,jj) = fmask(ji,jj,jk) * & |
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| 257 | ( zabe2 * ( pu(ji,jj+1,jk) - pu(ji,jj,jk) ) & |
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| 258 | + zcof2 * ( zdku (ji,jj+1) + zdk1u(ji,jj) & |
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| 259 | +zdk1u(ji,jj+1) + zdku (ji,jj) ) ) |
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| 260 | END DO |
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| 261 | END DO |
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| 262 | |
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| 263 | ! | t | |
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| 264 | ! I.3 Horizontal fluxes on V | | |
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| 265 | ! ------------------------=== f---v---f |
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| 266 | ! | | |
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| 267 | ! i-flux at f-point | t | |
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| 268 | DO jj = 1, jpjm1 |
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| 269 | DO ji = 1, jpim1 |
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| 270 | zabe1 = e2f(ji,jj) * fse3f(ji,jj,jk) / e1f(ji,jj) |
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| 271 | |
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| 272 | zmkf = 1./MAX( vmask(ji+1,jj,jk )+vmask(ji,jj,jk+1) & |
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| 273 | + vmask(ji+1,jj,jk+1)+vmask(ji,jj,jk ), 1. ) |
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| 274 | |
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| 275 | zcof1 = -e2f(ji,jj) * zmkf & |
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| 276 | * 0.5 * ( uslp(ji,jj+1,jk) + uslp(ji,jj,jk) ) |
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| 277 | |
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| 278 | zivf(ji,jj) = fmask(ji,jj,jk) * & |
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| 279 | ( zabe1 * ( pu(ji+1,jj,jk) - pu(ji,jj,jk) ) & |
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| 280 | + zcof1 * ( zdku (ji,jj) + zdk1u(ji+1,jj) & |
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| 281 | +zdk1u(ji,jj) + zdku (ji+1,jj) ) ) |
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| 282 | END DO |
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| 283 | END DO |
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| 284 | |
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| 285 | ! j-flux at t-point |
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| 286 | DO jj = 2, jpj |
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| 287 | DO ji = 1, jpim1 |
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| 288 | zabe2 = e1t(ji,jj) * fse3t(ji,jj,jk) / e2t(ji,jj) |
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| 289 | |
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| 290 | zmkt = 1./MAX( vmask(ji,jj-1,jk )+vmask(ji,jj,jk+1) & |
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| 291 | + vmask(ji,jj-1,jk+1)+vmask(ji,jj,jk ), 1. ) |
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| 292 | |
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| 293 | zcof2 = -e1t(ji,jj) * zmkt & |
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| 294 | * 0.5 * ( vslp(ji,jj-1,jk) + vslp(ji,jj,jk) ) |
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| 295 | |
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| 296 | zjvt(ji,jj) = tmask(ji,jj,jk) * & |
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| 297 | ( zabe2 * ( pu(ji,jj,jk) - pu(ji,jj-1,jk) ) & |
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| 298 | + zcof2 * ( zdku (ji,jj-1) + zdk1u(ji,jj) & |
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| 299 | +zdk1u(ji,jj-1) + zdku (ji,jj) ) ) |
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| 300 | END DO |
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| 301 | END DO |
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| 302 | |
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| 303 | |
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| 304 | ! I.4 Second derivative (divergence) (not divided by the volume) |
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| 305 | ! --------------------- |
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| 306 | |
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| 307 | DO jj = 2, jpjm1 |
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| 308 | DO ji = 2, jpim1 |
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| 309 | plu(ji,jj,jk) = ziut (ji+1,jj) - ziut (ji,jj ) & |
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| 310 | + zjuf (ji ,jj) - zjuf (ji,jj-1) |
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| 311 | plv(ji,jj,jk) = zivf (ji,jj ) - zivf (ji-1,jj) & |
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| 312 | + zjvt (ji,jj+1) - zjvt (ji,jj ) |
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| 313 | END DO |
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| 314 | END DO |
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| 315 | |
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| 316 | ! ! =============== |
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| 317 | END DO ! End of slab |
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| 318 | ! ! =============== |
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| 319 | |
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| 320 | !,,,,,,,,,,,,,,,,,,,,,,,,,,,,,synchro,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, |
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| 321 | |
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| 322 | ! ! ************ ! ! =============== |
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| 323 | DO jj = 2, jpjm1 ! Second step ! ! Horizontal slab |
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| 324 | ! ! ************ ! ! =============== |
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| 325 | |
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| 326 | ! II.1 horizontal (pu,pv) gradients |
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| 327 | ! --------------------------------- |
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| 328 | |
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| 329 | DO jk = 1, jpk |
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| 330 | DO ji = 2, jpi |
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| 331 | ! i-gradient of u at jj |
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| 332 | zdiu (ji,jk) = tmask(ji,jj ,jk) * ( pu(ji,jj ,jk) - pu(ji-1,jj ,jk) ) |
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| 333 | ! j-gradient of u and v at jj |
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| 334 | zdju (ji,jk) = fmask(ji,jj ,jk) * ( pu(ji,jj+1,jk) - pu(ji ,jj ,jk) ) |
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| 335 | zdjv (ji,jk) = tmask(ji,jj ,jk) * ( pv(ji,jj ,jk) - pv(ji ,jj-1,jk) ) |
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| 336 | ! j-gradient of u and v at jj+1 |
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| 337 | zdj1u(ji,jk) = fmask(ji,jj-1,jk) * ( pu(ji,jj ,jk) - pu(ji ,jj-1,jk) ) |
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| 338 | zdj1v(ji,jk) = tmask(ji,jj+1,jk) * ( pv(ji,jj+1,jk) - pv(ji ,jj ,jk) ) |
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| 339 | END DO |
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| 340 | END DO |
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| 341 | DO jk = 1, jpk |
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| 342 | DO ji = 1, jpim1 |
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| 343 | ! i-gradient of v at jj |
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| 344 | zdiv (ji,jk) = fmask(ji,jj ,jk) * ( pv(ji+1,jj,jk) - pv(ji ,jj ,jk) ) |
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| 345 | END DO |
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| 346 | END DO |
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| 347 | |
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| 348 | |
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| 349 | ! II.2 Vertical fluxes |
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| 350 | ! -------------------- |
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| 351 | |
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| 352 | ! Surface and bottom vertical fluxes set to zero |
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| 353 | |
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| 354 | zfuw(:, 1 ) = 0.e0 |
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| 355 | zfvw(:, 1 ) = 0.e0 |
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| 356 | zfuw(:,jpk) = 0.e0 |
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| 357 | zfvw(:,jpk) = 0.e0 |
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| 358 | |
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| 359 | ! interior (2=<jk=<jpk-1) on pu field |
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| 360 | |
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| 361 | DO jk = 2, jpkm1 |
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| 362 | DO ji = 2, jpim1 |
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| 363 | ! i- and j-slopes at uw-point |
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| 364 | zuwslpi = 0.5 * ( wslpi(ji+1,jj,jk) + wslpi(ji,jj,jk) ) |
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| 365 | zuwslpj = 0.5 * ( wslpj(ji+1,jj,jk) + wslpj(ji,jj,jk) ) |
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| 366 | ! coef. for the vertical dirative |
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| 367 | zcoef0 = e1u(ji,jj) * e2u(ji,jj) / fse3u(ji,jj,jk) & |
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| 368 | * ( zuwslpi * zuwslpi + zuwslpj * zuwslpj ) |
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| 369 | ! weights for the i-k, j-k averaging at t- and f-points, resp. |
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| 370 | zmkt = 1./MAX( tmask(ji,jj,jk-1)+tmask(ji+1,jj,jk-1) & |
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| 371 | + tmask(ji,jj,jk )+tmask(ji+1,jj,jk ), 1. ) |
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| 372 | zmkf = 1./MAX( fmask(ji,jj-1,jk-1)+fmask(ji,jj,jk-1) & |
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| 373 | + fmask(ji,jj-1,jk )+fmask(ji,jj,jk ), 1. ) |
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| 374 | ! coef. for the horitontal derivative |
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| 375 | zcoef3 = - e2u(ji,jj) * zmkt * zuwslpi |
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| 376 | zcoef4 = - e1u(ji,jj) * zmkf * zuwslpj |
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| 377 | ! vertical flux on u field |
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| 378 | zfuw(ji,jk) = umask(ji,jj,jk) * & |
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| 379 | ( zcoef0 * ( pu (ji,jj,jk-1) - pu (ji,jj,jk) ) & |
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| 380 | + zcoef3 * ( zdiu (ji,jk-1) + zdiu (ji+1,jk-1) & |
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| 381 | +zdiu (ji,jk ) + zdiu (ji+1,jk ) ) & |
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| 382 | + zcoef4 * ( zdj1u(ji,jk-1) + zdju (ji ,jk-1) & |
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| 383 | +zdj1u(ji,jk ) + zdju (ji ,jk ) ) ) |
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| 384 | END DO |
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| 385 | END DO |
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| 386 | |
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| 387 | ! interior (2=<jk=<jpk-1) on pv field |
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| 388 | |
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| 389 | DO jk = 2, jpkm1 |
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| 390 | DO ji = 2, jpim1 |
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| 391 | ! i- and j-slopes at vw-point |
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| 392 | zvwslpi = 0.5 * ( wslpi(ji,jj+1,jk) + wslpi(ji,jj,jk) ) |
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| 393 | zvwslpj = 0.5 * ( wslpj(ji,jj+1,jk) + wslpj(ji,jj,jk) ) |
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| 394 | ! coef. for the vertical derivative |
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| 395 | zcoef0 = e1v(ji,jj) * e2v(ji,jj) / fse3v(ji,jj,jk) & |
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| 396 | * ( zvwslpi * zvwslpi + zvwslpj * zvwslpj ) |
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| 397 | ! weights for the i-k, j-k averaging at f- and t-points, resp. |
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| 398 | zmkf = 1./MAX( fmask(ji-1,jj,jk-1)+fmask(ji,jj,jk-1) & |
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| 399 | + fmask(ji-1,jj,jk )+fmask(ji,jj,jk ), 1. ) |
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| 400 | zmkt = 1./MAX( tmask(ji,jj,jk-1)+tmask(ji,jj+1,jk-1) & |
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| 401 | + tmask(ji,jj,jk )+tmask(ji,jj+1,jk ), 1. ) |
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| 402 | ! coef. for the horizontal derivatives |
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| 403 | zcoef3 = - e2v(ji,jj) * zmkf * zvwslpi |
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| 404 | zcoef4 = - e1v(ji,jj) * zmkt * zvwslpj |
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| 405 | ! vertical flux on pv field |
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| 406 | zfvw(ji,jk) = vmask(ji,jj,jk) * & |
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| 407 | ( zcoef0 * ( pv (ji,jj,jk-1) - pv (ji,jj,jk) ) & |
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| 408 | + zcoef3 * ( zdiv (ji,jk-1) + zdiv (ji-1,jk-1) & |
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| 409 | +zdiv (ji,jk ) + zdiv (ji-1,jk ) ) & |
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| 410 | + zcoef4 * ( zdjv (ji,jk-1) + zdj1v(ji ,jk-1) & |
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| 411 | +zdjv (ji,jk ) + zdj1v(ji ,jk ) ) ) |
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| 412 | END DO |
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| 413 | END DO |
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| 414 | |
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| 415 | |
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| 416 | ! II.3 Divergence of vertical fluxes added to the horizontal divergence |
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| 417 | ! --------------------------------------------------------------------- |
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| 418 | |
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| 419 | IF( kahm == 1 ) THEN |
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| 420 | ! multiply the laplacian by the eddy viscosity coefficient |
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| 421 | DO jk = 1, jpkm1 |
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| 422 | DO ji = 2, jpim1 |
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| 423 | ! eddy coef. divided by the volume element |
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| 424 | zbur = fsahmu(ji,jj,jk) / ( e1u(ji,jj)*e2u(ji,jj)*fse3u(ji,jj,jk) ) |
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| 425 | zbvr = fsahmv(ji,jj,jk) / ( e1v(ji,jj)*e2v(ji,jj)*fse3v(ji,jj,jk) ) |
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| 426 | ! vertical divergence |
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| 427 | zuav = zfuw(ji,jk) - zfuw(ji,jk+1) |
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| 428 | zvav = zfvw(ji,jk) - zfvw(ji,jk+1) |
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| 429 | ! harmonic operator applied to (pu,pv) and multiply by ahm |
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| 430 | plu(ji,jj,jk) = ( plu(ji,jj,jk) + zuav ) * zbur |
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| 431 | plv(ji,jj,jk) = ( plv(ji,jj,jk) + zvav ) * zbvr |
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| 432 | END DO |
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| 433 | END DO |
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| 434 | ELSEIF( kahm == 2 ) THEN |
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| 435 | ! second call, no multiplication |
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| 436 | DO jk = 1, jpkm1 |
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| 437 | DO ji = 2, jpim1 |
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| 438 | ! inverse of the volume element |
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| 439 | zbur = 1. / ( e1u(ji,jj)*e2u(ji,jj)*fse3u(ji,jj,jk) ) |
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| 440 | zbvr = 1. / ( e1v(ji,jj)*e2v(ji,jj)*fse3v(ji,jj,jk) ) |
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| 441 | ! vertical divergence |
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| 442 | zuav = zfuw(ji,jk) - zfuw(ji,jk+1) |
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| 443 | zvav = zfvw(ji,jk) - zfvw(ji,jk+1) |
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| 444 | ! harmonic operator applied to (pu,pv) |
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| 445 | plu(ji,jj,jk) = ( plu(ji,jj,jk) + zuav ) * zbur |
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| 446 | plv(ji,jj,jk) = ( plv(ji,jj,jk) + zvav ) * zbvr |
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| 447 | END DO |
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| 448 | END DO |
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| 449 | ELSE |
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| 450 | IF(lwp)WRITE(numout,*) ' ldfguv: kahm= 1 or 2, here =', kahm |
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| 451 | IF(lwp)WRITE(numout,*) ' We stop' |
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| 452 | STOP 'ldfguv' |
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| 453 | ENDIF |
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| 454 | ! ! =============== |
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| 455 | END DO ! End of slab |
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| 456 | ! ! =============== |
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[2715] | 457 | |
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| 458 | IF( wrk_not_released(2, 1,2,3,4,5,6,7,8) ) CALL ctl_stop('dyn:ldfguv: failed to release workspace arrays') |
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| 459 | ! |
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[3] | 460 | END SUBROUTINE ldfguv |
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| 461 | |
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| 462 | #else |
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| 463 | !!---------------------------------------------------------------------- |
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| 464 | !! Dummy module : NO rotation of mixing tensor |
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| 465 | !!---------------------------------------------------------------------- |
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| 466 | CONTAINS |
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| 467 | SUBROUTINE dyn_ldf_bilapg( kt ) ! Dummy routine |
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[2715] | 468 | INTEGER, INTENT(in) :: kt |
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[32] | 469 | WRITE(*,*) 'dyn_ldf_bilapg: You should not have seen this print! error?', kt |
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[3] | 470 | END SUBROUTINE dyn_ldf_bilapg |
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| 471 | #endif |
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| 472 | |
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| 473 | !!====================================================================== |
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| 474 | END MODULE dynldf_bilapg |
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