[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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| 6 | #if defined key_ldfslp || defined key_esopa |
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| 7 | !!---------------------------------------------------------------------- |
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| 8 | !! 'key_ldfslp' slopes of the direction of mixing |
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| 9 | !!---------------------------------------------------------------------- |
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| 10 | !! dyn_ldf_iso : update the momentum trend with the horizontal part |
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| 11 | !! of the lateral diffusion using isopycnal or horizon- |
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| 12 | !! tal s-coordinate laplacian operator. |
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| 13 | !!---------------------------------------------------------------------- |
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| 14 | !! * Modules used |
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| 15 | USE oce ! ocean dynamics and tracers |
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| 16 | USE dom_oce ! ocean space and time domain |
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| 17 | USE ldfdyn_oce ! ocean dynamics lateral physics |
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| 18 | USE ldftra_oce ! ocean tracer lateral physics |
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| 19 | USE zdf_oce ! ocean vertical physics |
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[216] | 20 | USE trdmod ! ocean dynamics trends |
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| 21 | USE trdmod_oce ! ocean variables trends |
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[3] | 22 | USE ldfslp ! iso-neutral slopes |
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[455] | 23 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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[3] | 24 | USE in_out_manager ! I/O manager |
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[258] | 25 | USE prtctl ! Print control |
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[3] | 26 | |
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| 27 | IMPLICIT NONE |
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| 28 | PRIVATE |
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| 29 | |
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| 30 | !! * Routine accessibility |
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| 31 | PUBLIC dyn_ldf_iso ! called by step.F90 |
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| 32 | |
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| 33 | !! * Substitutions |
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| 34 | # include "domzgr_substitute.h90" |
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| 35 | # include "ldfdyn_substitute.h90" |
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| 36 | # include "vectopt_loop_substitute.h90" |
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| 37 | !!---------------------------------------------------------------------- |
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[247] | 38 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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[3] | 39 | !!---------------------------------------------------------------------- |
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| 40 | |
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| 41 | CONTAINS |
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| 42 | |
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| 43 | SUBROUTINE dyn_ldf_iso( kt ) |
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| 44 | !!---------------------------------------------------------------------- |
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| 45 | !! *** ROUTINE dyn_ldf_iso *** |
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| 46 | !! |
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[455] | 47 | !! ** Purpose : Compute the before trend of the rotated laplacian |
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| 48 | !! operator of lateral momentum diffusion except the diagonal |
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| 49 | !! vertical term that will be computed in dynzdf module. Add it |
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| 50 | !! to the general trend of momentum equation. |
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[3] | 51 | !! |
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| 52 | !! ** Method : |
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[455] | 53 | !! The momentum lateral diffusive trend is provided by a 2nd |
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| 54 | !! order operator rotated along neutral or geopotential surfaces |
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| 55 | !! (in s-coordinates). |
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[3] | 56 | !! It is computed using before fields (forward in time) and isopyc- |
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[455] | 57 | !! nal or geopotential slopes computed in routine ldfslp. |
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[3] | 58 | !! Here, u and v components are considered as 2 independent scalar |
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| 59 | !! fields. Therefore, the property of splitting divergent and rota- |
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| 60 | !! tional part of the flow of the standard, z-coordinate laplacian |
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| 61 | !! momentum diffusion is lost. |
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| 62 | !! horizontal fluxes associated with the rotated lateral mixing: |
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| 63 | !! u-component: |
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| 64 | !! ziut = ( ahmt + ahmb0 ) e2t * e3t / e1t di[ ub ] |
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| 65 | !! - ahmt e2t * mi-1(uslp) dk[ mi(mk(ub)) ] |
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| 66 | !! zjuf = ( ahmf + ahmb0 ) e1f * e3f / e2f dj[ ub ] |
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| 67 | !! - ahmf e1f * mi(vslp) dk[ mj(mk(ub)) ] |
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| 68 | !! v-component: |
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| 69 | !! zivf = ( ahmf + ahmb0 ) e2t * e3t / e1t di[ vb ] |
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| 70 | !! - ahmf e2t * mj(uslp) dk[ mi(mk(vb)) ] |
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| 71 | !! zjvt = ( ahmt + ahmb0 ) e1f * e3f / e2f dj[ ub ] |
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| 72 | !! - ahmt e1f * mj-1(vslp) dk[ mj(mk(vb)) ] |
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| 73 | !! take the horizontal divergence of the fluxes: |
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| 74 | !! diffu = 1/(e1u*e2u*e3u) { di [ ziut ] + dj-1[ zjuf ] } |
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| 75 | !! diffv = 1/(e1v*e2v*e3v) { di-1[ zivf ] + dj [ zjvt ] } |
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| 76 | !! Add this trend to the general trend (ua,va): |
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| 77 | !! ua = ua + diffu |
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[455] | 78 | !! CAUTION: here the isopycnal part is with a coeff. of aht. This |
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| 79 | !! should be modified for applications others than orca_r2 (!!bug) |
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[3] | 80 | !! |
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| 81 | !! ** Action : |
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| 82 | !! Update (ua,va) arrays with the before geopotential biharmonic |
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| 83 | !! mixing trend. |
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[455] | 84 | !! Update (avmu,avmv) to accompt for the diagonal vertical component |
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| 85 | !! of the rotated operator in dynzdf module |
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[3] | 86 | !! |
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| 87 | !! History : |
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| 88 | !! 8.0 ! 97-07 (G. Madec) Original code |
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| 89 | !! 8.5 ! 02-08 (G. Madec) F90: Free form and module |
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[216] | 90 | !! 9.0 ! 04-08 (C. Talandier) New trends organization |
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[455] | 91 | !! ! 05-11 (G. Madec) s-coordinate: horizontal diffusion |
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[3] | 92 | !!---------------------------------------------------------------------- |
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| 93 | !! * Arguments |
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[216] | 94 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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[3] | 95 | |
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| 96 | !! * Local declarations |
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[216] | 97 | INTEGER :: ji, jj, jk ! dummy loop indices |
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[3] | 98 | REAL(wp) :: & |
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[216] | 99 | zabe1, zabe2, zcof1, zcof2, & ! temporary scalars |
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[3] | 100 | zmskt, zmskf, zbu, zbv, & |
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[258] | 101 | zuah, zvah |
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[3] | 102 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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[216] | 103 | ziut, zjuf, zjvt, zivf, & ! temporary workspace |
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[3] | 104 | zdku, zdk1u, zdkv, zdk1v |
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[455] | 105 | |
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| 106 | REAL(wp) :: & |
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| 107 | zcoef0, zcoef3, zcoef4, zmkt, zmkf, & |
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| 108 | zuav, zvav, zuwslpi, zuwslpj, zvwslpi, zvwslpj |
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[520] | 109 | REAL(wp), DIMENSION(jpi,jpk) :: & |
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[455] | 110 | zfuw, zdiu, zdju, zdj1u, & ! " " |
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| 111 | zfvw, zdiv, zdjv, zdj1v |
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| 112 | |
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[3] | 113 | !!---------------------------------------------------------------------- |
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| 114 | |
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| 115 | IF( kt == nit000 ) THEN |
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| 116 | IF(lwp) WRITE(numout,*) |
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| 117 | IF(lwp) WRITE(numout,*) 'dyn_ldf_iso : iso-neutral laplacian diffusive operator or ' |
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| 118 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ s-coordinate horizontal diffusive operator' |
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| 119 | ENDIF |
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[216] | 120 | |
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[455] | 121 | ! ! s-coordinate: Iso-level diffusion on momentum but not on tracer |
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| 122 | IF( ln_dynldf_hor .AND. ln_traldf_iso ) THEN |
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| 123 | |
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| 124 | ! set the slopes of iso-level |
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| 125 | DO jk = 1, jpk |
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| 126 | DO jj = 2, jpjm1 |
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| 127 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 128 | uslp (ji,jj,jk) = -1./e1u(ji,jj) * ( fsdept(ji+1,jj,jk) - fsdept(ji ,jj ,jk) ) * umask(ji,jj,jk) |
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| 129 | vslp (ji,jj,jk) = -1./e2v(ji,jj) * ( fsdept(ji,jj+1,jk) - fsdept(ji ,jj ,jk) ) * vmask(ji,jj,jk) |
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| 130 | wslpi(ji,jj,jk) = -1./e1t(ji,jj) * ( fsdepw(ji+1,jj,jk) - fsdepw(ji-1,jj,jk) ) * tmask(ji,jj,jk) * 0.5 |
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| 131 | wslpj(ji,jj,jk) = -1./e2t(ji,jj) * ( fsdepw(ji,jj+1,jk) - fsdepw(ji,jj-1,jk) ) * tmask(ji,jj,jk) * 0.5 |
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| 132 | END DO |
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| 133 | END DO |
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| 134 | END DO |
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| 135 | |
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| 136 | ! Lateral boundary conditions on the slopes |
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| 137 | CALL lbc_lnk( uslp , 'U', -1. ) ; CALL lbc_lnk( vslp , 'V', -1. ) |
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| 138 | CALL lbc_lnk( wslpi, 'W', -1. ) ; CALL lbc_lnk( wslpj, 'W', -1. ) |
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| 139 | |
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| 140 | !!bug |
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| 141 | if( kt == nit000 ) then |
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| 142 | IF(lwp) WRITE(numout,*) ' max slop: u',SQRT( MAXVAL(uslp*uslp)), ' v ', SQRT(MAXVAL(vslp)), & |
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| 143 | & ' wi', sqrt(MAXVAL(wslpi)), ' wj', sqrt(MAXVAL(wslpj)) |
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| 144 | endif |
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| 145 | !!end |
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[216] | 146 | ENDIF |
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[455] | 147 | |
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[3] | 148 | ! ! =============== |
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| 149 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 150 | ! ! =============== |
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| 151 | |
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| 152 | ! Vertical u- and v-shears at level jk and jk+1 |
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| 153 | ! --------------------------------------------- |
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| 154 | ! surface boundary condition: zdku(jk=1)=zdku(jk=2) |
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| 155 | ! zdkv(jk=1)=zdkv(jk=2) |
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| 156 | |
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| 157 | zdk1u(:,:) = ( ub(:,:,jk) -ub(:,:,jk+1) ) * umask(:,:,jk+1) |
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| 158 | zdk1v(:,:) = ( vb(:,:,jk) -vb(:,:,jk+1) ) * vmask(:,:,jk+1) |
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| 159 | |
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| 160 | IF( jk == 1 ) THEN |
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| 161 | zdku(:,:) = zdk1u(:,:) |
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| 162 | zdkv(:,:) = zdk1v(:,:) |
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| 163 | ELSE |
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| 164 | zdku(:,:) = ( ub(:,:,jk-1) - ub(:,:,jk) ) * umask(:,:,jk) |
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| 165 | zdkv(:,:) = ( vb(:,:,jk-1) - vb(:,:,jk) ) * vmask(:,:,jk) |
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| 166 | ENDIF |
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| 167 | |
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| 168 | ! -----f----- |
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| 169 | ! Horizontal fluxes on U | |
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| 170 | ! --------------------=== t u t |
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| 171 | ! | |
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| 172 | ! i-flux at t-point -----f----- |
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| 173 | |
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[455] | 174 | IF( ln_zps ) THEN ! z-coordinate - partial steps : min(e3u) |
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| 175 | DO jj = 2, jpjm1 |
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| 176 | DO ji = fs_2, jpi ! vector opt. |
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| 177 | 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] | 178 | |
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[455] | 179 | zmskt = 1./MAX( umask(ji-1,jj,jk )+umask(ji,jj,jk+1) & |
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| 180 | & + umask(ji-1,jj,jk+1)+umask(ji,jj,jk ), 1. ) |
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[3] | 181 | |
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[455] | 182 | zcof1 = - aht0 * e2t(ji,jj) * zmskt * 0.5 * ( uslp(ji-1,jj,jk) + uslp(ji,jj,jk) ) |
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| 183 | |
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| 184 | ziut(ji,jj) = ( zabe1 * ( ub(ji,jj,jk) - ub(ji-1,jj,jk) ) & |
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| 185 | & + zcof1 * ( zdku (ji,jj) + zdk1u(ji-1,jj) & |
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| 186 | & +zdk1u(ji,jj) + zdku (ji-1,jj) ) ) * tmask(ji,jj,jk) |
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| 187 | END DO |
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| 188 | END DO |
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| 189 | ELSE ! other coordinate system (zco or sco) : e3t |
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| 190 | DO jj = 2, jpjm1 |
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| 191 | DO ji = fs_2, jpi ! vector opt. |
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| 192 | zabe1 = (fsahmt(ji,jj,jk)+ahmb0) * e2t(ji,jj) * fse3t(ji,jj,jk) / e1t(ji,jj) |
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[3] | 193 | |
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[455] | 194 | zmskt = 1./MAX( umask(ji-1,jj,jk )+umask(ji,jj,jk+1) & |
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| 195 | & + umask(ji-1,jj,jk+1)+umask(ji,jj,jk ), 1. ) |
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| 196 | |
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| 197 | zcof1 = - aht0 * e2t(ji,jj) * zmskt * 0.5 * ( uslp(ji-1,jj,jk) + uslp(ji,jj,jk) ) |
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| 198 | |
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| 199 | ziut(ji,jj) = ( zabe1 * ( ub(ji,jj,jk) - ub(ji-1,jj,jk) ) & |
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| 200 | & + zcof1 * ( zdku (ji,jj) + zdk1u(ji-1,jj) & |
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| 201 | & +zdk1u(ji,jj) + zdku (ji-1,jj) ) ) * tmask(ji,jj,jk) |
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| 202 | END DO |
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[3] | 203 | END DO |
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[455] | 204 | ENDIF |
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[3] | 205 | |
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| 206 | ! j-flux at f-point |
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| 207 | DO jj = 1, jpjm1 |
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| 208 | DO ji = 1, fs_jpim1 ! vector opt. |
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[455] | 209 | zabe2 = ( fsahmf(ji,jj,jk) + ahmb0 ) * e1f(ji,jj) * fse3f(ji,jj,jk) / e2f(ji,jj) |
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[3] | 210 | |
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| 211 | zmskf = 1./MAX( umask(ji,jj+1,jk )+umask(ji,jj,jk+1) & |
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[455] | 212 | & + umask(ji,jj+1,jk+1)+umask(ji,jj,jk ), 1. ) |
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[3] | 213 | |
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[455] | 214 | zcof2 = - aht0 * e1f(ji,jj) * zmskf * 0.5 * ( vslp(ji+1,jj,jk) + vslp(ji,jj,jk) ) |
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[3] | 215 | |
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[455] | 216 | zjuf(ji,jj) = ( zabe2 * ( ub(ji,jj+1,jk) - ub(ji,jj,jk) ) & |
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| 217 | & + zcof2 * ( zdku (ji,jj+1) + zdk1u(ji,jj) & |
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| 218 | & +zdk1u(ji,jj+1) + zdku (ji,jj) ) ) * fmask(ji,jj,jk) |
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[3] | 219 | END DO |
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| 220 | END DO |
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| 221 | |
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| 222 | ! | t | |
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| 223 | ! Horizontal fluxes on V | | |
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| 224 | ! --------------------=== f---v---f |
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| 225 | ! | | |
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| 226 | ! i-flux at f-point | t | |
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| 227 | |
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| 228 | DO jj = 2, jpjm1 |
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| 229 | DO ji = 1, fs_jpim1 ! vector opt. |
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[455] | 230 | zabe1 = ( fsahmf(ji,jj,jk) + ahmb0 ) * e2f(ji,jj) * fse3f(ji,jj,jk) / e1f(ji,jj) |
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[3] | 231 | |
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| 232 | zmskf = 1./MAX( vmask(ji+1,jj,jk )+vmask(ji,jj,jk+1) & |
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[455] | 233 | & + vmask(ji+1,jj,jk+1)+vmask(ji,jj,jk ), 1. ) |
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[3] | 234 | |
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[455] | 235 | zcof1 = - aht0 * e2f(ji,jj) * zmskf * 0.5 * ( uslp(ji,jj+1,jk) + uslp(ji,jj,jk) ) |
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[3] | 236 | |
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[455] | 237 | zivf(ji,jj) = ( zabe1 * ( vb(ji+1,jj,jk) - vb(ji,jj,jk) ) & |
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| 238 | & + zcof1 * ( zdkv (ji,jj) + zdk1v(ji+1,jj) & |
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| 239 | & +zdk1v(ji,jj) + zdkv (ji+1,jj) ) ) * fmask(ji,jj,jk) |
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[3] | 240 | END DO |
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| 241 | END DO |
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| 242 | |
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| 243 | ! j-flux at t-point |
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[455] | 244 | IF( ln_zps ) THEN ! z-coordinate - partial steps : min(e3u) |
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| 245 | DO jj = 2, jpj |
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| 246 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 247 | 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] | 248 | |
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[455] | 249 | zmskt = 1./MAX( vmask(ji,jj-1,jk )+vmask(ji,jj,jk+1) & |
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| 250 | & + vmask(ji,jj-1,jk+1)+vmask(ji,jj,jk ), 1. ) |
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[3] | 251 | |
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[455] | 252 | zcof2 = - aht0 * e1t(ji,jj) * zmskt * 0.5 * ( vslp(ji,jj-1,jk) + vslp(ji,jj,jk) ) |
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[3] | 253 | |
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[455] | 254 | zjvt(ji,jj) = ( zabe2 * ( vb(ji,jj,jk) - vb(ji,jj-1,jk) ) & |
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| 255 | & + zcof2 * ( zdkv (ji,jj-1) + zdk1v(ji,jj) & |
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| 256 | & +zdk1v(ji,jj-1) + zdkv (ji,jj) ) ) * tmask(ji,jj,jk) |
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| 257 | END DO |
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[3] | 258 | END DO |
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[455] | 259 | ELSE ! other coordinate system (zco or sco) : e3t |
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| 260 | DO jj = 2, jpj |
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| 261 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 262 | zabe2 = (fsahmt(ji,jj,jk)+ahmb0) * e1t(ji,jj) * fse3t(ji,jj,jk) / e2t(ji,jj) |
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[3] | 263 | |
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[455] | 264 | zmskt = 1./MAX( vmask(ji,jj-1,jk )+vmask(ji,jj,jk+1) & |
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| 265 | & + vmask(ji,jj-1,jk+1)+vmask(ji,jj,jk ), 1. ) |
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[3] | 266 | |
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[455] | 267 | zcof2 = - aht0 * e1t(ji,jj) * zmskt * 0.5 * ( vslp(ji,jj-1,jk) + vslp(ji,jj,jk) ) |
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| 268 | |
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| 269 | zjvt(ji,jj) = ( zabe2 * ( vb(ji,jj,jk) - vb(ji,jj-1,jk) ) & |
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| 270 | & + zcof2 * ( zdkv (ji,jj-1) + zdk1v(ji,jj) & |
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| 271 | & +zdk1v(ji,jj-1) + zdkv (ji,jj) ) ) * tmask(ji,jj,jk) |
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| 272 | END DO |
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| 273 | END DO |
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| 274 | ENDIF |
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| 275 | |
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| 276 | |
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[3] | 277 | ! Second derivative (divergence) and add to the general trend |
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| 278 | ! ----------------------------------------------------------- |
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| 279 | |
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| 280 | DO jj = 2, jpjm1 |
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| 281 | DO ji = 2, jpim1 !! Question vectop possible??? !!bug |
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| 282 | ! volume elements |
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| 283 | zbu = e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) |
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| 284 | zbv = e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) |
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| 285 | ! horizontal component of isopycnal momentum diffusive trends |
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| 286 | zuah =( ziut (ji+1,jj) - ziut (ji,jj ) + & |
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[455] | 287 | & zjuf (ji ,jj) - zjuf (ji,jj-1) ) / zbu |
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[3] | 288 | zvah =( zivf (ji,jj ) - zivf (ji-1,jj) + & |
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[455] | 289 | & zjvt (ji,jj+1) - zjvt (ji,jj ) ) / zbv |
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[3] | 290 | ! add the trends to the general trends |
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| 291 | ua (ji,jj,jk) = ua (ji,jj,jk) + zuah |
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| 292 | va (ji,jj,jk) = va (ji,jj,jk) + zvah |
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| 293 | END DO |
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| 294 | END DO |
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| 295 | ! ! =============== |
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| 296 | END DO ! End of slab |
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| 297 | ! ! =============== |
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[216] | 298 | |
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[455] | 299 | ! print sum trends (used for debugging) |
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| 300 | IF(ln_ctl) CALL prt_ctl( tab3d_1=ua, clinfo1=' ldfh - Ua: ', mask1=umask, & |
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| 301 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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[216] | 302 | |
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| 303 | |
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[455] | 304 | ! ! =============== |
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| 305 | DO jj = 2, jpjm1 ! Vertical slab |
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| 306 | ! ! =============== |
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| 307 | |
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| 308 | |
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| 309 | ! I. vertical trends associated with the lateral mixing |
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| 310 | ! ===================================================== |
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| 311 | ! (excluding the vertical flux proportional to dk[t] |
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| 312 | |
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| 313 | |
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| 314 | ! I.1 horizontal momentum gradient |
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| 315 | ! -------------------------------- |
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| 316 | |
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| 317 | DO jk = 1, jpk |
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| 318 | DO ji = 2, jpi |
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| 319 | ! i-gradient of u at jj |
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| 320 | zdiu (ji,jk) = tmask(ji,jj ,jk) * ( ub(ji,jj ,jk) - ub(ji-1,jj ,jk) ) |
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| 321 | ! j-gradient of u and v at jj |
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| 322 | zdju (ji,jk) = fmask(ji,jj ,jk) * ( ub(ji,jj+1,jk) - ub(ji ,jj ,jk) ) |
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| 323 | zdjv (ji,jk) = tmask(ji,jj ,jk) * ( vb(ji,jj ,jk) - vb(ji ,jj-1,jk) ) |
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| 324 | ! j-gradient of u and v at jj+1 |
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| 325 | zdj1u(ji,jk) = fmask(ji,jj-1,jk) * ( ub(ji,jj ,jk) - ub(ji ,jj-1,jk) ) |
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| 326 | zdj1v(ji,jk) = tmask(ji,jj+1,jk) * ( vb(ji,jj+1,jk) - vb(ji ,jj ,jk) ) |
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| 327 | END DO |
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| 328 | END DO |
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| 329 | DO jk = 1, jpk |
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| 330 | DO ji = 1, jpim1 |
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| 331 | ! i-gradient of v at jj |
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| 332 | zdiv (ji,jk) = fmask(ji,jj ,jk) * ( vb(ji+1,jj,jk) - vb(ji ,jj ,jk) ) |
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| 333 | END DO |
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| 334 | END DO |
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| 335 | |
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| 336 | |
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| 337 | ! I.2 Vertical fluxes |
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| 338 | ! ------------------- |
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| 339 | |
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| 340 | ! Surface and bottom vertical fluxes set to zero |
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| 341 | DO ji = 1, jpi |
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| 342 | zfuw(ji, 1 ) = 0.e0 |
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| 343 | zfvw(ji, 1 ) = 0.e0 |
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| 344 | zfuw(ji,jpk) = 0.e0 |
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| 345 | zfvw(ji,jpk) = 0.e0 |
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| 346 | END DO |
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| 347 | |
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| 348 | ! interior (2=<jk=<jpk-1) on U field |
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| 349 | DO jk = 2, jpkm1 |
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| 350 | DO ji = 2, jpim1 |
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| 351 | zcoef0= 0.5 * aht0 * umask(ji,jj,jk) |
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| 352 | |
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| 353 | zuwslpi = zcoef0 * ( wslpi(ji+1,jj,jk) + wslpi(ji,jj,jk) ) |
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| 354 | zuwslpj = zcoef0 * ( wslpj(ji+1,jj,jk) + wslpj(ji,jj,jk) ) |
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| 355 | |
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| 356 | zmkt = 1./MAX( tmask(ji,jj,jk-1)+tmask(ji+1,jj,jk-1) & |
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| 357 | + tmask(ji,jj,jk )+tmask(ji+1,jj,jk ), 1. ) |
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| 358 | zmkf = 1./MAX( fmask(ji,jj-1,jk-1)+fmask(ji,jj,jk-1) & |
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| 359 | + fmask(ji,jj-1,jk )+fmask(ji,jj,jk ), 1. ) |
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| 360 | |
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| 361 | zcoef3 = - e2u(ji,jj) * zmkt * zuwslpi |
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| 362 | zcoef4 = - e1u(ji,jj) * zmkf * zuwslpj |
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| 363 | ! vertical flux on u field |
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| 364 | zfuw(ji,jk) = zcoef3 * ( zdiu (ji,jk-1) + zdiu (ji+1,jk-1) & |
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| 365 | +zdiu (ji,jk ) + zdiu (ji+1,jk ) ) & |
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| 366 | + zcoef4 * ( zdj1u(ji,jk-1) + zdju (ji ,jk-1) & |
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| 367 | +zdj1u(ji,jk ) + zdju (ji ,jk ) ) |
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| 368 | ! update avmu (add isopycnal vertical coefficient to avmu) |
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| 369 | ! Caution: zcoef0 include aht0, so divided by aht0 to obtain slp^2 * aht0 |
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| 370 | avmu(ji,jj,jk) = avmu(ji,jj,jk) + ( zuwslpi * zuwslpi + zuwslpj * zuwslpj ) / aht0 |
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| 371 | END DO |
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| 372 | END DO |
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| 373 | |
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| 374 | ! interior (2=<jk=<jpk-1) on V field |
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| 375 | DO jk = 2, jpkm1 |
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| 376 | DO ji = 2, jpim1 |
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| 377 | zcoef0= 0.5 * aht0 * vmask(ji,jj,jk) |
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| 378 | |
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| 379 | zvwslpi = zcoef0 * ( wslpi(ji,jj+1,jk) + wslpi(ji,jj,jk) ) |
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| 380 | zvwslpj = zcoef0 * ( wslpj(ji,jj+1,jk) + wslpj(ji,jj,jk) ) |
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| 381 | |
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| 382 | zmkf = 1./MAX( fmask(ji-1,jj,jk-1)+fmask(ji,jj,jk-1) & |
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| 383 | + fmask(ji-1,jj,jk )+fmask(ji,jj,jk ), 1. ) |
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| 384 | zmkt = 1./MAX( tmask(ji,jj,jk-1)+tmask(ji,jj+1,jk-1) & |
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| 385 | + tmask(ji,jj,jk )+tmask(ji,jj+1,jk ), 1. ) |
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| 386 | |
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| 387 | zcoef3 = - e2v(ji,jj) * zmkf * zvwslpi |
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| 388 | zcoef4 = - e1v(ji,jj) * zmkt * zvwslpj |
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| 389 | ! vertical flux on v field |
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| 390 | zfvw(ji,jk) = zcoef3 * ( zdiv (ji,jk-1) + zdiv (ji-1,jk-1) & |
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| 391 | +zdiv (ji,jk ) + zdiv (ji-1,jk ) ) & |
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| 392 | + zcoef4 * ( zdjv (ji,jk-1) + zdj1v(ji ,jk-1) & |
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| 393 | +zdjv (ji,jk ) + zdj1v(ji ,jk ) ) |
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| 394 | ! update avmv (add isopycnal vertical coefficient to avmv) |
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| 395 | ! Caution: zcoef0 include aht0, so divided by aht0 to obtain slp^2 * aht0 |
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| 396 | avmv(ji,jj,jk) = avmv(ji,jj,jk) + ( zvwslpi * zvwslpi + zvwslpj * zvwslpj ) / aht0 |
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| 397 | END DO |
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| 398 | END DO |
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| 399 | |
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| 400 | |
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| 401 | ! I.3 Divergence of vertical fluxes added to the general tracer trend |
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| 402 | ! ------------------------------------------------------------------- |
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| 403 | DO jk = 1, jpkm1 |
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| 404 | DO ji = 2, jpim1 |
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| 405 | ! volume elements |
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| 406 | zbu = e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) |
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| 407 | zbv = e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) |
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| 408 | ! part of the k-component of isopycnal momentum diffusive trends |
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| 409 | zuav = ( zfuw(ji,jk) - zfuw(ji,jk+1) ) / zbu |
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| 410 | zvav = ( zfvw(ji,jk) - zfvw(ji,jk+1) ) / zbv |
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| 411 | ! add the trends to the general trends |
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| 412 | ua(ji,jj,jk) = ua(ji,jj,jk) + zuav |
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| 413 | va(ji,jj,jk) = va(ji,jj,jk) + zvav |
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| 414 | END DO |
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| 415 | END DO |
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| 416 | ! ! =============== |
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| 417 | END DO ! End of slab |
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| 418 | ! ! =============== |
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| 419 | |
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[3] | 420 | END SUBROUTINE dyn_ldf_iso |
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| 421 | |
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| 422 | # else |
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| 423 | !!---------------------------------------------------------------------- |
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| 424 | !! Dummy module NO rotation of mixing tensor |
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| 425 | !!---------------------------------------------------------------------- |
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| 426 | CONTAINS |
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| 427 | SUBROUTINE dyn_ldf_iso( kt ) ! Empty routine |
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[32] | 428 | WRITE(*,*) 'dyn_ldf_iso: You should not have seen this print! error?', kt |
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[3] | 429 | END SUBROUTINE dyn_ldf_iso |
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| 430 | #endif |
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| 431 | |
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| 432 | !!====================================================================== |
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| 433 | END MODULE dynldf_iso |
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