[3] | 1 | MODULE dynldf_iso |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE dynldf_iso *** |
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| 4 | !! Ocean dynamics: lateral viscosity trend |
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| 5 | !!====================================================================== |
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[2715] | 6 | !! History : OPA ! 97-07 (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 | !! - ! 2004-08 (C. Talandier) New trends organization |
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| 9 | !! 2.0 ! 2005-11 (G. Madec) s-coordinate: horizontal diffusion |
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| 10 | !!---------------------------------------------------------------------- |
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[5758] | 11 | |
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[3] | 12 | !!---------------------------------------------------------------------- |
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| 13 | !! dyn_ldf_iso : update the momentum trend with the horizontal part |
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| 14 | !! of the lateral diffusion using isopycnal or horizon- |
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| 15 | !! tal s-coordinate laplacian operator. |
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| 16 | !!---------------------------------------------------------------------- |
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| 17 | USE oce ! ocean dynamics and tracers |
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| 18 | USE dom_oce ! ocean space and time domain |
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| 19 | USE ldfdyn_oce ! ocean dynamics lateral physics |
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[5758] | 20 | USE ldftra ! lateral physics: eddy diffusivity & EIV coefficients |
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[3] | 21 | USE zdf_oce ! ocean vertical physics |
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| 22 | USE ldfslp ! iso-neutral slopes |
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[4990] | 23 | ! |
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[455] | 24 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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[3] | 25 | USE in_out_manager ! I/O manager |
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[2715] | 26 | USE lib_mpp ! MPP library |
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[258] | 27 | USE prtctl ! Print control |
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[3294] | 28 | USE wrk_nemo ! Memory Allocation |
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| 29 | USE timing ! Timing |
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[3] | 30 | |
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| 31 | IMPLICIT NONE |
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| 32 | PRIVATE |
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| 33 | |
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[2715] | 34 | PUBLIC dyn_ldf_iso ! called by step.F90 |
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| 35 | PUBLIC dyn_ldf_iso_alloc ! called by nemogcm.F90 |
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[3] | 36 | |
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[2715] | 37 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: zfuw, zdiu, zdju, zdj1u ! 2D workspace (dyn_ldf_iso) |
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| 38 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: zfvw, zdiv, zdjv, zdj1v ! - - |
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| 39 | |
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[3] | 40 | !! * Substitutions |
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| 41 | # include "domzgr_substitute.h90" |
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| 42 | # include "ldfdyn_substitute.h90" |
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| 43 | # include "vectopt_loop_substitute.h90" |
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| 44 | !!---------------------------------------------------------------------- |
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[2715] | 45 | !! NEMO/OPA 3.3 , NEMO Consortium (2011) |
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[1156] | 46 | !! $Id$ |
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[2715] | 47 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[3] | 48 | !!---------------------------------------------------------------------- |
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| 49 | CONTAINS |
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| 50 | |
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[2715] | 51 | INTEGER FUNCTION dyn_ldf_iso_alloc() |
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| 52 | !!---------------------------------------------------------------------- |
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| 53 | !! *** ROUTINE dyn_ldf_iso_alloc *** |
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| 54 | !!---------------------------------------------------------------------- |
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| 55 | ALLOCATE( zfuw(jpi,jpk) , zdiu(jpi,jpk) , zdju(jpi,jpk) , zdj1u(jpi,jpk) , & |
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| 56 | & zfvw(jpi,jpk) , zdiv(jpi,jpk) , zdjv(jpi,jpk) , zdj1v(jpi,jpk) , STAT=dyn_ldf_iso_alloc ) |
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| 57 | ! |
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| 58 | IF( dyn_ldf_iso_alloc /= 0 ) CALL ctl_warn('dyn_ldf_iso_alloc: array allocate failed.') |
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| 59 | END FUNCTION dyn_ldf_iso_alloc |
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| 60 | |
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| 61 | |
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[3] | 62 | SUBROUTINE dyn_ldf_iso( kt ) |
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| 63 | !!---------------------------------------------------------------------- |
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| 64 | !! *** ROUTINE dyn_ldf_iso *** |
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| 65 | !! |
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[455] | 66 | !! ** Purpose : Compute the before trend of the rotated laplacian |
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| 67 | !! operator of lateral momentum diffusion except the diagonal |
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| 68 | !! vertical term that will be computed in dynzdf module. Add it |
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| 69 | !! to the general trend of momentum equation. |
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[3] | 70 | !! |
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| 71 | !! ** Method : |
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[455] | 72 | !! The momentum lateral diffusive trend is provided by a 2nd |
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| 73 | !! order operator rotated along neutral or geopotential surfaces |
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| 74 | !! (in s-coordinates). |
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[3] | 75 | !! It is computed using before fields (forward in time) and isopyc- |
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[455] | 76 | !! nal or geopotential slopes computed in routine ldfslp. |
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[3] | 77 | !! Here, u and v components are considered as 2 independent scalar |
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| 78 | !! fields. Therefore, the property of splitting divergent and rota- |
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| 79 | !! tional part of the flow of the standard, z-coordinate laplacian |
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| 80 | !! momentum diffusion is lost. |
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| 81 | !! horizontal fluxes associated with the rotated lateral mixing: |
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| 82 | !! u-component: |
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| 83 | !! ziut = ( ahmt + ahmb0 ) e2t * e3t / e1t di[ ub ] |
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| 84 | !! - ahmt e2t * mi-1(uslp) dk[ mi(mk(ub)) ] |
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| 85 | !! zjuf = ( ahmf + ahmb0 ) e1f * e3f / e2f dj[ ub ] |
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| 86 | !! - ahmf e1f * mi(vslp) dk[ mj(mk(ub)) ] |
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| 87 | !! v-component: |
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| 88 | !! zivf = ( ahmf + ahmb0 ) e2t * e3t / e1t di[ vb ] |
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| 89 | !! - ahmf e2t * mj(uslp) dk[ mi(mk(vb)) ] |
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| 90 | !! zjvt = ( ahmt + ahmb0 ) e1f * e3f / e2f dj[ ub ] |
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| 91 | !! - ahmt e1f * mj-1(vslp) dk[ mj(mk(vb)) ] |
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| 92 | !! take the horizontal divergence of the fluxes: |
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| 93 | !! diffu = 1/(e1u*e2u*e3u) { di [ ziut ] + dj-1[ zjuf ] } |
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| 94 | !! diffv = 1/(e1v*e2v*e3v) { di-1[ zivf ] + dj [ zjvt ] } |
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| 95 | !! Add this trend to the general trend (ua,va): |
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| 96 | !! ua = ua + diffu |
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[455] | 97 | !! CAUTION: here the isopycnal part is with a coeff. of aht. This |
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| 98 | !! should be modified for applications others than orca_r2 (!!bug) |
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[3] | 99 | !! |
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| 100 | !! ** Action : |
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| 101 | !! Update (ua,va) arrays with the before geopotential biharmonic |
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| 102 | !! mixing trend. |
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[455] | 103 | !! Update (avmu,avmv) to accompt for the diagonal vertical component |
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| 104 | !! of the rotated operator in dynzdf module |
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[3] | 105 | !!---------------------------------------------------------------------- |
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[2715] | 106 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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| 107 | ! |
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| 108 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 109 | REAL(wp) :: zabe1, zabe2, zcof1, zcof2 ! local scalars |
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| 110 | REAL(wp) :: zmskt, zmskf, zbu, zbv, zuah, zvah ! - - |
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| 111 | REAL(wp) :: zcoef0, zcoef3, zcoef4, zmkt, zmkf ! - - |
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| 112 | REAL(wp) :: zuav, zvav, zuwslpi, zuwslpj, zvwslpi, zvwslpj ! - - |
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[3294] | 113 | ! |
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| 114 | REAL(wp), POINTER, DIMENSION(:,:) :: ziut, zjuf, zjvt, zivf, zdku, zdk1u, zdkv, zdk1v |
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[2715] | 115 | !!---------------------------------------------------------------------- |
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[3294] | 116 | ! |
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| 117 | IF( nn_timing == 1 ) CALL timing_start('dyn_ldf_iso') |
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| 118 | ! |
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| 119 | CALL wrk_alloc( jpi, jpj, ziut, zjuf, zjvt, zivf, zdku, zdk1u, zdkv, zdk1v ) |
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| 120 | ! |
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[3] | 121 | IF( kt == nit000 ) THEN |
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| 122 | IF(lwp) WRITE(numout,*) |
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| 123 | IF(lwp) WRITE(numout,*) 'dyn_ldf_iso : iso-neutral laplacian diffusive operator or ' |
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| 124 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ s-coordinate horizontal diffusive operator' |
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[2715] | 125 | ! ! allocate dyn_ldf_bilap arrays |
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| 126 | IF( dyn_ldf_iso_alloc() /= 0 ) CALL ctl_stop('STOP', 'dyn_ldf_iso: failed to allocate arrays') |
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[3] | 127 | ENDIF |
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[216] | 128 | |
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[4488] | 129 | ! s-coordinate: Iso-level diffusion on tracer, but geopotential level diffusion on momentum |
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[455] | 130 | IF( ln_dynldf_hor .AND. ln_traldf_iso ) THEN |
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[2715] | 131 | ! |
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| 132 | DO jk = 1, jpk ! set the slopes of iso-level |
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[455] | 133 | DO jj = 2, jpjm1 |
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[4488] | 134 | DO ji = 2, jpim1 |
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| 135 | uslp (ji,jj,jk) = -1./e1u(ji,jj) * ( fsdept_b(ji+1,jj,jk) - fsdept_b(ji ,jj ,jk) ) * umask(ji,jj,jk) |
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| 136 | vslp (ji,jj,jk) = -1./e2v(ji,jj) * ( fsdept_b(ji,jj+1,jk) - fsdept_b(ji ,jj ,jk) ) * vmask(ji,jj,jk) |
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| 137 | wslpi(ji,jj,jk) = -1./e1t(ji,jj) * ( fsdepw_b(ji+1,jj,jk) - fsdepw_b(ji-1,jj,jk) ) * tmask(ji,jj,jk) * 0.5 |
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| 138 | wslpj(ji,jj,jk) = -1./e2t(ji,jj) * ( fsdepw_b(ji,jj+1,jk) - fsdepw_b(ji,jj-1,jk) ) * tmask(ji,jj,jk) * 0.5 |
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[455] | 139 | END DO |
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| 140 | END DO |
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| 141 | END DO |
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| 142 | ! Lateral boundary conditions on the slopes |
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| 143 | CALL lbc_lnk( uslp , 'U', -1. ) ; CALL lbc_lnk( vslp , 'V', -1. ) |
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| 144 | CALL lbc_lnk( wslpi, 'W', -1. ) ; CALL lbc_lnk( wslpj, 'W', -1. ) |
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| 145 | |
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| 146 | !!bug |
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[2715] | 147 | IF( kt == nit000 ) then |
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| 148 | IF(lwp) WRITE(numout,*) ' max slop: u', SQRT( MAXVAL(uslp*uslp)), ' v ', SQRT(MAXVAL(vslp)), & |
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| 149 | & ' wi', sqrt(MAXVAL(wslpi)) , ' wj', sqrt(MAXVAL(wslpj)) |
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[455] | 150 | endif |
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| 151 | !!end |
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[216] | 152 | ENDIF |
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[455] | 153 | |
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[3] | 154 | ! ! =============== |
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| 155 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 156 | ! ! =============== |
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| 157 | |
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| 158 | ! Vertical u- and v-shears at level jk and jk+1 |
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| 159 | ! --------------------------------------------- |
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| 160 | ! surface boundary condition: zdku(jk=1)=zdku(jk=2) |
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| 161 | ! zdkv(jk=1)=zdkv(jk=2) |
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| 162 | |
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| 163 | zdk1u(:,:) = ( ub(:,:,jk) -ub(:,:,jk+1) ) * umask(:,:,jk+1) |
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| 164 | zdk1v(:,:) = ( vb(:,:,jk) -vb(:,:,jk+1) ) * vmask(:,:,jk+1) |
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| 165 | |
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| 166 | IF( jk == 1 ) THEN |
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| 167 | zdku(:,:) = zdk1u(:,:) |
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| 168 | zdkv(:,:) = zdk1v(:,:) |
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| 169 | ELSE |
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| 170 | zdku(:,:) = ( ub(:,:,jk-1) - ub(:,:,jk) ) * umask(:,:,jk) |
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| 171 | zdkv(:,:) = ( vb(:,:,jk-1) - vb(:,:,jk) ) * vmask(:,:,jk) |
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| 172 | ENDIF |
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| 173 | |
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| 174 | ! -----f----- |
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| 175 | ! Horizontal fluxes on U | |
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| 176 | ! --------------------=== t u t |
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| 177 | ! | |
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| 178 | ! i-flux at t-point -----f----- |
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| 179 | |
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[455] | 180 | IF( ln_zps ) THEN ! z-coordinate - partial steps : min(e3u) |
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| 181 | DO jj = 2, jpjm1 |
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| 182 | DO ji = fs_2, jpi ! vector opt. |
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| 183 | zabe1 = (fsahmt(ji,jj,jk)+ahmb0) * e2t(ji,jj) * MIN( fse3u(ji,jj,jk), fse3u(ji-1,jj,jk) ) / e1t(ji,jj) |
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[3] | 184 | |
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[455] | 185 | zmskt = 1./MAX( umask(ji-1,jj,jk )+umask(ji,jj,jk+1) & |
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| 186 | & + umask(ji-1,jj,jk+1)+umask(ji,jj,jk ), 1. ) |
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[3] | 187 | |
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[5758] | 188 | zcof1 = - rn_aht_0 * e2t(ji,jj) * zmskt * 0.5 * ( uslp(ji-1,jj,jk) + uslp(ji,jj,jk) ) |
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[455] | 189 | |
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| 190 | ziut(ji,jj) = ( zabe1 * ( ub(ji,jj,jk) - ub(ji-1,jj,jk) ) & |
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| 191 | & + zcof1 * ( zdku (ji,jj) + zdk1u(ji-1,jj) & |
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| 192 | & +zdk1u(ji,jj) + zdku (ji-1,jj) ) ) * tmask(ji,jj,jk) |
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| 193 | END DO |
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| 194 | END DO |
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| 195 | ELSE ! other coordinate system (zco or sco) : e3t |
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| 196 | DO jj = 2, jpjm1 |
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| 197 | DO ji = fs_2, jpi ! vector opt. |
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| 198 | zabe1 = (fsahmt(ji,jj,jk)+ahmb0) * e2t(ji,jj) * fse3t(ji,jj,jk) / e1t(ji,jj) |
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[3] | 199 | |
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[455] | 200 | zmskt = 1./MAX( umask(ji-1,jj,jk )+umask(ji,jj,jk+1) & |
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| 201 | & + umask(ji-1,jj,jk+1)+umask(ji,jj,jk ), 1. ) |
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| 202 | |
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[5758] | 203 | zcof1 = - rn_aht_0 * e2t(ji,jj) * zmskt * 0.5 * ( uslp(ji-1,jj,jk) + uslp(ji,jj,jk) ) |
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[455] | 204 | |
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| 205 | ziut(ji,jj) = ( zabe1 * ( ub(ji,jj,jk) - ub(ji-1,jj,jk) ) & |
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| 206 | & + zcof1 * ( zdku (ji,jj) + zdk1u(ji-1,jj) & |
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| 207 | & +zdk1u(ji,jj) + zdku (ji-1,jj) ) ) * tmask(ji,jj,jk) |
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| 208 | END DO |
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[3] | 209 | END DO |
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[455] | 210 | ENDIF |
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[3] | 211 | |
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| 212 | ! j-flux at f-point |
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| 213 | DO jj = 1, jpjm1 |
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| 214 | DO ji = 1, fs_jpim1 ! vector opt. |
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[455] | 215 | zabe2 = ( fsahmf(ji,jj,jk) + ahmb0 ) * e1f(ji,jj) * fse3f(ji,jj,jk) / e2f(ji,jj) |
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[3] | 216 | |
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| 217 | zmskf = 1./MAX( umask(ji,jj+1,jk )+umask(ji,jj,jk+1) & |
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[455] | 218 | & + umask(ji,jj+1,jk+1)+umask(ji,jj,jk ), 1. ) |
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[3] | 219 | |
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[5758] | 220 | zcof2 = - rn_aht_0 * e1f(ji,jj) * zmskf * 0.5 * ( vslp(ji+1,jj,jk) + vslp(ji,jj,jk) ) |
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[3] | 221 | |
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[455] | 222 | zjuf(ji,jj) = ( zabe2 * ( ub(ji,jj+1,jk) - ub(ji,jj,jk) ) & |
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| 223 | & + zcof2 * ( zdku (ji,jj+1) + zdk1u(ji,jj) & |
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| 224 | & +zdk1u(ji,jj+1) + zdku (ji,jj) ) ) * fmask(ji,jj,jk) |
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[3] | 225 | END DO |
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| 226 | END DO |
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| 227 | |
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| 228 | ! | t | |
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| 229 | ! Horizontal fluxes on V | | |
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| 230 | ! --------------------=== f---v---f |
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| 231 | ! | | |
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| 232 | ! i-flux at f-point | t | |
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| 233 | |
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| 234 | DO jj = 2, jpjm1 |
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| 235 | DO ji = 1, fs_jpim1 ! vector opt. |
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[455] | 236 | zabe1 = ( fsahmf(ji,jj,jk) + ahmb0 ) * e2f(ji,jj) * fse3f(ji,jj,jk) / e1f(ji,jj) |
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[3] | 237 | |
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| 238 | zmskf = 1./MAX( vmask(ji+1,jj,jk )+vmask(ji,jj,jk+1) & |
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[455] | 239 | & + vmask(ji+1,jj,jk+1)+vmask(ji,jj,jk ), 1. ) |
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[3] | 240 | |
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[5758] | 241 | zcof1 = - rn_aht_0 * e2f(ji,jj) * zmskf * 0.5 * ( uslp(ji,jj+1,jk) + uslp(ji,jj,jk) ) |
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[3] | 242 | |
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[455] | 243 | zivf(ji,jj) = ( zabe1 * ( vb(ji+1,jj,jk) - vb(ji,jj,jk) ) & |
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| 244 | & + zcof1 * ( zdkv (ji,jj) + zdk1v(ji+1,jj) & |
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| 245 | & +zdk1v(ji,jj) + zdkv (ji+1,jj) ) ) * fmask(ji,jj,jk) |
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[3] | 246 | END DO |
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| 247 | END DO |
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| 248 | |
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| 249 | ! j-flux at t-point |
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[455] | 250 | IF( ln_zps ) THEN ! z-coordinate - partial steps : min(e3u) |
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| 251 | DO jj = 2, jpj |
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| 252 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 253 | zabe2 = (fsahmt(ji,jj,jk)+ahmb0) * e1t(ji,jj) * MIN( fse3v(ji,jj,jk), fse3v(ji,jj-1,jk) ) / e2t(ji,jj) |
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[3] | 254 | |
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[455] | 255 | zmskt = 1./MAX( vmask(ji,jj-1,jk )+vmask(ji,jj,jk+1) & |
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| 256 | & + vmask(ji,jj-1,jk+1)+vmask(ji,jj,jk ), 1. ) |
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[3] | 257 | |
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[5758] | 258 | zcof2 = - rn_aht_0 * e1t(ji,jj) * zmskt * 0.5 * ( vslp(ji,jj-1,jk) + vslp(ji,jj,jk) ) |
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[3] | 259 | |
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[455] | 260 | zjvt(ji,jj) = ( zabe2 * ( vb(ji,jj,jk) - vb(ji,jj-1,jk) ) & |
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| 261 | & + zcof2 * ( zdkv (ji,jj-1) + zdk1v(ji,jj) & |
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| 262 | & +zdk1v(ji,jj-1) + zdkv (ji,jj) ) ) * tmask(ji,jj,jk) |
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| 263 | END DO |
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[3] | 264 | END DO |
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[455] | 265 | ELSE ! other coordinate system (zco or sco) : e3t |
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| 266 | DO jj = 2, jpj |
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| 267 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 268 | zabe2 = (fsahmt(ji,jj,jk)+ahmb0) * e1t(ji,jj) * fse3t(ji,jj,jk) / e2t(ji,jj) |
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[3] | 269 | |
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[455] | 270 | zmskt = 1./MAX( vmask(ji,jj-1,jk )+vmask(ji,jj,jk+1) & |
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| 271 | & + vmask(ji,jj-1,jk+1)+vmask(ji,jj,jk ), 1. ) |
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[3] | 272 | |
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[5758] | 273 | zcof2 = - rn_aht_0 * e1t(ji,jj) * zmskt * 0.5 * ( vslp(ji,jj-1,jk) + vslp(ji,jj,jk) ) |
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[455] | 274 | |
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| 275 | zjvt(ji,jj) = ( zabe2 * ( vb(ji,jj,jk) - vb(ji,jj-1,jk) ) & |
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| 276 | & + zcof2 * ( zdkv (ji,jj-1) + zdk1v(ji,jj) & |
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| 277 | & +zdk1v(ji,jj-1) + zdkv (ji,jj) ) ) * tmask(ji,jj,jk) |
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| 278 | END DO |
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| 279 | END DO |
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| 280 | ENDIF |
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| 281 | |
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| 282 | |
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[3] | 283 | ! Second derivative (divergence) and add to the general trend |
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| 284 | ! ----------------------------------------------------------- |
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| 285 | |
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| 286 | DO jj = 2, jpjm1 |
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| 287 | DO ji = 2, jpim1 !! Question vectop possible??? !!bug |
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| 288 | ! volume elements |
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| 289 | zbu = e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) |
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| 290 | zbv = e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) |
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| 291 | ! horizontal component of isopycnal momentum diffusive trends |
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| 292 | zuah =( ziut (ji+1,jj) - ziut (ji,jj ) + & |
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[455] | 293 | & zjuf (ji ,jj) - zjuf (ji,jj-1) ) / zbu |
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[3] | 294 | zvah =( zivf (ji,jj ) - zivf (ji-1,jj) + & |
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[455] | 295 | & zjvt (ji,jj+1) - zjvt (ji,jj ) ) / zbv |
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[3] | 296 | ! add the trends to the general trends |
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| 297 | ua (ji,jj,jk) = ua (ji,jj,jk) + zuah |
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| 298 | va (ji,jj,jk) = va (ji,jj,jk) + zvah |
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| 299 | END DO |
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| 300 | END DO |
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| 301 | ! ! =============== |
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| 302 | END DO ! End of slab |
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| 303 | ! ! =============== |
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[216] | 304 | |
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[455] | 305 | ! print sum trends (used for debugging) |
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| 306 | IF(ln_ctl) CALL prt_ctl( tab3d_1=ua, clinfo1=' ldfh - Ua: ', mask1=umask, & |
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| 307 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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[216] | 308 | |
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| 309 | |
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[455] | 310 | ! ! =============== |
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| 311 | DO jj = 2, jpjm1 ! Vertical slab |
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| 312 | ! ! =============== |
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| 313 | |
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| 314 | |
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| 315 | ! I. vertical trends associated with the lateral mixing |
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| 316 | ! ===================================================== |
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| 317 | ! (excluding the vertical flux proportional to dk[t] |
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| 318 | |
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| 319 | |
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| 320 | ! I.1 horizontal momentum gradient |
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| 321 | ! -------------------------------- |
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| 322 | |
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| 323 | DO jk = 1, jpk |
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| 324 | DO ji = 2, jpi |
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| 325 | ! i-gradient of u at jj |
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| 326 | zdiu (ji,jk) = tmask(ji,jj ,jk) * ( ub(ji,jj ,jk) - ub(ji-1,jj ,jk) ) |
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| 327 | ! j-gradient of u and v at jj |
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| 328 | zdju (ji,jk) = fmask(ji,jj ,jk) * ( ub(ji,jj+1,jk) - ub(ji ,jj ,jk) ) |
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| 329 | zdjv (ji,jk) = tmask(ji,jj ,jk) * ( vb(ji,jj ,jk) - vb(ji ,jj-1,jk) ) |
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| 330 | ! j-gradient of u and v at jj+1 |
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| 331 | zdj1u(ji,jk) = fmask(ji,jj-1,jk) * ( ub(ji,jj ,jk) - ub(ji ,jj-1,jk) ) |
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| 332 | zdj1v(ji,jk) = tmask(ji,jj+1,jk) * ( vb(ji,jj+1,jk) - vb(ji ,jj ,jk) ) |
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| 333 | END DO |
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| 334 | END DO |
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| 335 | DO jk = 1, jpk |
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| 336 | DO ji = 1, jpim1 |
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| 337 | ! i-gradient of v at jj |
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| 338 | zdiv (ji,jk) = fmask(ji,jj ,jk) * ( vb(ji+1,jj,jk) - vb(ji ,jj ,jk) ) |
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| 339 | END DO |
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| 340 | END DO |
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| 341 | |
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| 342 | |
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| 343 | ! I.2 Vertical fluxes |
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| 344 | ! ------------------- |
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| 345 | |
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| 346 | ! Surface and bottom vertical fluxes set to zero |
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| 347 | DO ji = 1, jpi |
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| 348 | zfuw(ji, 1 ) = 0.e0 |
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| 349 | zfvw(ji, 1 ) = 0.e0 |
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| 350 | zfuw(ji,jpk) = 0.e0 |
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| 351 | zfvw(ji,jpk) = 0.e0 |
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| 352 | END DO |
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| 353 | |
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| 354 | ! interior (2=<jk=<jpk-1) on U field |
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| 355 | DO jk = 2, jpkm1 |
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| 356 | DO ji = 2, jpim1 |
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[5758] | 357 | zcoef0= 0.5 * rn_aht_0 * umask(ji,jj,jk) |
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| 358 | ! |
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[455] | 359 | zuwslpi = zcoef0 * ( wslpi(ji+1,jj,jk) + wslpi(ji,jj,jk) ) |
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| 360 | zuwslpj = zcoef0 * ( wslpj(ji+1,jj,jk) + wslpj(ji,jj,jk) ) |
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[5758] | 361 | ! |
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[455] | 362 | zmkt = 1./MAX( tmask(ji,jj,jk-1)+tmask(ji+1,jj,jk-1) & |
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| 363 | + tmask(ji,jj,jk )+tmask(ji+1,jj,jk ), 1. ) |
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| 364 | zmkf = 1./MAX( fmask(ji,jj-1,jk-1)+fmask(ji,jj,jk-1) & |
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| 365 | + fmask(ji,jj-1,jk )+fmask(ji,jj,jk ), 1. ) |
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| 366 | |
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| 367 | zcoef3 = - e2u(ji,jj) * zmkt * zuwslpi |
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| 368 | zcoef4 = - e1u(ji,jj) * zmkf * zuwslpj |
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| 369 | ! vertical flux on u field |
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| 370 | zfuw(ji,jk) = zcoef3 * ( zdiu (ji,jk-1) + zdiu (ji+1,jk-1) & |
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| 371 | +zdiu (ji,jk ) + zdiu (ji+1,jk ) ) & |
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| 372 | + zcoef4 * ( zdj1u(ji,jk-1) + zdju (ji ,jk-1) & |
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| 373 | +zdj1u(ji,jk ) + zdju (ji ,jk ) ) |
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| 374 | ! update avmu (add isopycnal vertical coefficient to avmu) |
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[5758] | 375 | ! Caution: zcoef0 include rn_aht_0, so divided by rn_aht_0 to obtain slp^2 * rn_aht_0 |
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| 376 | avmu(ji,jj,jk) = avmu(ji,jj,jk) + ( zuwslpi * zuwslpi + zuwslpj * zuwslpj ) / rn_aht_0 |
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[455] | 377 | END DO |
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| 378 | END DO |
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| 379 | |
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| 380 | ! interior (2=<jk=<jpk-1) on V field |
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| 381 | DO jk = 2, jpkm1 |
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| 382 | DO ji = 2, jpim1 |
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[5758] | 383 | zcoef0 = 0.5 * rn_aht_0 * vmask(ji,jj,jk) |
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[455] | 384 | |
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| 385 | zvwslpi = zcoef0 * ( wslpi(ji,jj+1,jk) + wslpi(ji,jj,jk) ) |
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| 386 | zvwslpj = zcoef0 * ( wslpj(ji,jj+1,jk) + wslpj(ji,jj,jk) ) |
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| 387 | |
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| 388 | zmkf = 1./MAX( fmask(ji-1,jj,jk-1)+fmask(ji,jj,jk-1) & |
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| 389 | + fmask(ji-1,jj,jk )+fmask(ji,jj,jk ), 1. ) |
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| 390 | zmkt = 1./MAX( tmask(ji,jj,jk-1)+tmask(ji,jj+1,jk-1) & |
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| 391 | + tmask(ji,jj,jk )+tmask(ji,jj+1,jk ), 1. ) |
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| 392 | |
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| 393 | zcoef3 = - e2v(ji,jj) * zmkf * zvwslpi |
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| 394 | zcoef4 = - e1v(ji,jj) * zmkt * zvwslpj |
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| 395 | ! vertical flux on v field |
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| 396 | zfvw(ji,jk) = zcoef3 * ( zdiv (ji,jk-1) + zdiv (ji-1,jk-1) & |
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[5758] | 397 | & +zdiv (ji,jk ) + zdiv (ji-1,jk ) ) & |
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| 398 | & + zcoef4 * ( zdjv (ji,jk-1) + zdj1v(ji ,jk-1) & |
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| 399 | & +zdjv (ji,jk ) + zdj1v(ji ,jk ) ) |
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[455] | 400 | ! update avmv (add isopycnal vertical coefficient to avmv) |
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[5758] | 401 | ! Caution: zcoef0 include rn_aht_0, so divided by rn_aht_0 to obtain slp^2 * rn_aht_0 |
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| 402 | avmv(ji,jj,jk) = avmv(ji,jj,jk) + ( zvwslpi * zvwslpi + zvwslpj * zvwslpj ) / rn_aht_0 |
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[455] | 403 | END DO |
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| 404 | END DO |
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| 405 | |
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| 406 | |
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| 407 | ! I.3 Divergence of vertical fluxes added to the general tracer trend |
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| 408 | ! ------------------------------------------------------------------- |
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| 409 | DO jk = 1, jpkm1 |
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| 410 | DO ji = 2, jpim1 |
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| 411 | ! volume elements |
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[5758] | 412 | zbu = e1e2u(ji,jj) * fse3u(ji,jj,jk) |
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| 413 | zbv = e1e2v(ji,jj) * fse3v(ji,jj,jk) |
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[455] | 414 | ! part of the k-component of isopycnal momentum diffusive trends |
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| 415 | zuav = ( zfuw(ji,jk) - zfuw(ji,jk+1) ) / zbu |
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| 416 | zvav = ( zfvw(ji,jk) - zfvw(ji,jk+1) ) / zbv |
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| 417 | ! add the trends to the general trends |
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| 418 | ua(ji,jj,jk) = ua(ji,jj,jk) + zuav |
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| 419 | va(ji,jj,jk) = va(ji,jj,jk) + zvav |
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| 420 | END DO |
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| 421 | END DO |
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| 422 | ! ! =============== |
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| 423 | END DO ! End of slab |
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| 424 | ! ! =============== |
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[3294] | 425 | CALL wrk_dealloc( jpi, jpj, ziut, zjuf, zjvt, zivf, zdku, zdk1u, zdkv, zdk1v ) |
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[2715] | 426 | ! |
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[3294] | 427 | IF( nn_timing == 1 ) CALL timing_stop('dyn_ldf_iso') |
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| 428 | ! |
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[3] | 429 | END SUBROUTINE dyn_ldf_iso |
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| 430 | |
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| 431 | !!====================================================================== |
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| 432 | END MODULE dynldf_iso |
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