[3] | 1 | MODULE traldf_iso_zps |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE traldf_iso_zps *** |
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| 4 | !! Ocean active tracers: horizontal component of the lateral tracer mixing trend |
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| 5 | !!============================================================================== |
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[22] | 6 | #if ( defined key_ldfslp && defined key_partial_steps ) || defined key_esopa |
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[3] | 7 | !!---------------------------------------------------------------------- |
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| 8 | !! 'key_ldfslp' slope of the lateral diffusive direction |
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| 9 | !!---------------------------------------------------------------------- |
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| 10 | !! tra_ldf_iso_zps : update the tracer trend with the horizontal |
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| 11 | !! component of a iso-neutral laplacian operator |
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| 12 | !!---------------------------------------------------------------------- |
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| 13 | !! * Modules used |
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| 14 | USE oce ! ocean dynamics and active tracers |
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| 15 | USE dom_oce ! ocean space and time domain |
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[63] | 16 | USE ldftra_oce ! ocean active tracers: lateral physics |
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[216] | 17 | USE trdmod ! ocean active tracers trends |
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| 18 | USE trdmod_oce ! ocean variables trends |
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[3] | 19 | USE zdf_oce ! ocean vertical physics |
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| 20 | USE in_out_manager ! I/O manager |
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| 21 | USE ldfslp ! iso-neutral slopes |
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[132] | 22 | USE diaptr ! poleward transport diagnostics |
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[258] | 23 | USE prtctl ! Print control |
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[3] | 24 | |
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[63] | 25 | |
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[3] | 26 | IMPLICIT NONE |
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| 27 | PRIVATE |
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| 28 | |
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| 29 | !! * Accessibility |
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| 30 | PUBLIC tra_ldf_iso_zps ! routine called by step.F90 |
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| 31 | |
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| 32 | !! * Substitutions |
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| 33 | # include "domzgr_substitute.h90" |
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| 34 | # include "ldftra_substitute.h90" |
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| 35 | # include "ldfeiv_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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| 39 | !! $Header$ |
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| 40 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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[3] | 41 | !!---------------------------------------------------------------------- |
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| 42 | |
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| 43 | CONTAINS |
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| 44 | |
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| 45 | SUBROUTINE tra_ldf_iso_zps( kt ) |
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| 46 | !!---------------------------------------------------------------------- |
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| 47 | !! *** ROUTINE tra_ldf_iso_zps *** |
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| 48 | !! |
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| 49 | !! ** Purpose : Compute the before horizontal tracer (t & s) diffusive |
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| 50 | !! trend and add it to the general trend of tracer equation. |
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| 51 | !! |
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| 52 | !! ** Method : The horizontal component of the lateral diffusive trends |
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| 53 | !! is provided by a 2nd order operator rotated along neural or geopo- |
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| 54 | !! tential surfaces to which an eddy induced advection can be added |
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| 55 | !! It is computed using before fields (forward in time) and isopyc- |
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| 56 | !! nal or geopotential slopes computed in routine ldfslp. |
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| 57 | !! |
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| 58 | !! horizontal fluxes associated with the rotated lateral mixing: |
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| 59 | !! zftu = (aht+ahtb0) e2u*e3u/e1u di[ tb ] |
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| 60 | !! - aht e2u*uslp dk[ mi(mk(tb)) ] |
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| 61 | !! zftv = (aht+ahtb0) e1v*e3v/e2v dj[ tb ] |
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| 62 | !! - aht e2u*vslp dk[ mj(mk(tb)) ] |
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| 63 | !! add horizontal Eddy Induced advective fluxes (lk_traldf_eiv=T): |
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| 64 | !! zftu = zftu - dk-1[ aht e2u mi(wslpi) ] mi( tb ) |
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| 65 | !! zftv = zftv - dk-1[ aht e1v mj(wslpj) ] mj( tb ) |
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| 66 | !! take the horizontal divergence of the fluxes: |
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| 67 | !! difft = 1/(e1t*e2t*e3t) { di-1[ zftu ] + dj-1[ zftv ] } |
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| 68 | !! Add this trend to the general trend (ta,sa): |
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| 69 | !! ta = ta + difft |
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| 70 | !! |
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| 71 | !! 'key_trdtra' defined: the trend is saved for diagnostics. |
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| 72 | !! |
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| 73 | !! macro-tasked on horizontal slab (jk-loop). |
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| 74 | !! |
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| 75 | !! ** Action : |
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| 76 | !! Update (ta,sa) arrays with the before along level biharmonic |
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| 77 | !! mixing trend. |
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[216] | 78 | !! Save in (ztdta,ztdsa) arrays the trends if 'key_trdtra' defined |
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[3] | 79 | !! |
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| 80 | !! History : |
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| 81 | !! ! 94-08 (G. Madec, M. Imbard) |
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| 82 | !! ! 97-05 (G. Madec) split into traldf and trazdf |
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| 83 | !! 8.5 ! 02-08 (G. Madec) Free form, F90 |
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[216] | 84 | !! 9.0 ! 04-08 (C. Talandier) New trends organization |
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[3] | 85 | !!---------------------------------------------------------------------- |
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| 86 | !! * Modules used |
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| 87 | USE oce , zftu => ua, & ! use ua as workspace |
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| 88 | & zfsu => va ! use va as workspace |
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| 89 | |
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| 90 | !! * Arguments |
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| 91 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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| 92 | |
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| 93 | !! * Local declarations |
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| 94 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 95 | INTEGER :: iku, ikv ! temporary integer |
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| 96 | REAL(wp) :: & |
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| 97 | zabe1, zabe2, zcof1, zcof2, & ! temporary scalars |
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[216] | 98 | zmsku, zmskv, zbtr, zta, zsa ! " " |
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[63] | 99 | REAL(wp), DIMENSION(jpi,jpj) :: & ! temporary workspace |
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| 100 | zdkt , zdk1t, zdks , zdk1s ! " " |
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[216] | 101 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
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| 102 | zftv, zgtbu, zgtbv, & ! temporary workspace |
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| 103 | zfsv, zgsbu, zgsbv, & ! " " |
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| 104 | ztdta, ztdsa |
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[63] | 105 | |
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| 106 | #if defined key_traldf_eiv |
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[216] | 107 | REAL(wp) :: & |
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| 108 | zcg1, zcg2, zuwk, zvwk, & ! temporary scalars |
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| 109 | zuwk1, zvwk1 ! " " |
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| 110 | REAL(wp), DIMENSION(jpi,jpj) :: & ! temporary workspace |
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| 111 | zftug, zftvg, zfsug, zfsvg ! " " |
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[63] | 112 | #endif |
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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,*) 'tra_ldf_iso_zps : iso neutral laplacian diffusion in ' |
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| 118 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~ z-coordinates with partial steps' |
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| 119 | #if defined key_diaeiv |
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| 120 | u_eiv(:,:,:) = 0.e0 |
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| 121 | v_eiv(:,:,:) = 0.e0 |
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| 122 | #endif |
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| 123 | ENDIF |
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| 124 | |
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[216] | 125 | ! Save ta and sa trends |
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| 126 | IF( l_trdtra ) THEN |
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| 127 | ztdta(:,:,:) = ta(:,:,:) |
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| 128 | ztdsa(:,:,:) = sa(:,:,:) |
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| 129 | ENDIF |
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[3] | 130 | |
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| 131 | ! Horizontal temperature and salinity gradient |
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| 132 | DO jk = 1, jpk |
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| 133 | DO jj = 1, jpj-1 |
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| 134 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 135 | zgtbu(ji,jj,jk) = tmask(ji,jj,jk) * ( tb(ji+1,jj ,jk) - tb(ji,jj,jk) ) |
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| 136 | zgsbu(ji,jj,jk) = tmask(ji,jj,jk) * ( sb(ji+1,jj ,jk) - sb(ji,jj,jk) ) |
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| 137 | zgtbv(ji,jj,jk) = tmask(ji,jj,jk) * ( tb(ji ,jj+1,jk) - tb(ji,jj,jk) ) |
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| 138 | zgsbv(ji,jj,jk) = tmask(ji,jj,jk) * ( sb(ji ,jj+1,jk) - sb(ji,jj,jk) ) |
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| 139 | END DO |
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| 140 | END DO |
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| 141 | END DO |
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| 142 | ! partial steps correction at the last level |
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| 143 | DO jj = 1, jpj-1 |
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| 144 | DO ji = 1, jpi-1 |
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| 145 | ! last level |
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[216] | 146 | iku = MIN( mbathy(ji,jj), mbathy(ji+1,jj ) ) - 1 |
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| 147 | ikv = MIN( mbathy(ji,jj), mbathy(ji ,jj+1) ) - 1 |
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[3] | 148 | zgtbu(ji,jj,iku) = gtu(ji,jj) |
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| 149 | zgsbu(ji,jj,iku) = gsu(ji,jj) |
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| 150 | zgtbv(ji,jj,ikv) = gtv(ji,jj) |
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| 151 | zgsbv(ji,jj,ikv) = gsv(ji,jj) |
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| 152 | END DO |
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| 153 | END DO |
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| 154 | |
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| 155 | ! ! =============== |
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| 156 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 157 | ! ! =============== |
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| 158 | ! 1. Vertical tracer gradient at level jk and jk+1 |
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| 159 | ! ------------------------------------------------ |
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| 160 | ! surface boundary condition: zdkt(jk=1)=zdkt(jk=2) |
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| 161 | |
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| 162 | zdk1t(:,:) = ( tb(:,:,jk) - tb(:,:,jk+1) ) * tmask(:,:,jk+1) |
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| 163 | zdk1s(:,:) = ( sb(:,:,jk) - sb(:,:,jk+1) ) * tmask(:,:,jk+1) |
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| 164 | |
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| 165 | IF( jk == 1 ) THEN |
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| 166 | zdkt(:,:) = zdk1t(:,:) |
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| 167 | zdks(:,:) = zdk1s(:,:) |
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| 168 | ELSE |
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| 169 | zdkt(:,:) = ( tb(:,:,jk-1) - tb(:,:,jk) ) * tmask(:,:,jk) |
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| 170 | zdks(:,:) = ( sb(:,:,jk-1) - sb(:,:,jk) ) * tmask(:,:,jk) |
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| 171 | ENDIF |
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| 172 | |
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| 173 | |
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| 174 | ! 2. Horizontal fluxes |
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| 175 | ! -------------------- |
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| 176 | |
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| 177 | DO jj = 1 , jpjm1 |
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| 178 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 179 | zabe1 = ( fsahtu(ji,jj,jk) + ahtb0 ) * e2u(ji,jj) * fse3u(ji,jj,jk) / e1u(ji,jj) |
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| 180 | zabe2 = ( fsahtv(ji,jj,jk) + ahtb0 ) * e1v(ji,jj) * fse3v(ji,jj,jk) / e2v(ji,jj) |
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| 181 | |
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| 182 | zmsku = 1. / MAX( tmask(ji+1,jj,jk ) + tmask(ji,jj,jk+1) & |
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| 183 | + tmask(ji+1,jj,jk+1) + tmask(ji,jj,jk ), 1. ) |
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| 184 | |
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| 185 | zmskv = 1. / MAX( tmask(ji,jj+1,jk ) + tmask(ji,jj,jk+1) & |
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| 186 | + tmask(ji,jj+1,jk+1) + tmask(ji,jj,jk ), 1. ) |
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| 187 | |
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| 188 | zcof1 = -fsahtu(ji,jj,jk) * e2u(ji,jj) * uslp(ji,jj,jk) * zmsku |
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| 189 | zcof2 = -fsahtv(ji,jj,jk) * e1v(ji,jj) * vslp(ji,jj,jk) * zmskv |
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| 190 | |
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| 191 | zftu(ji,jj,jk) = umask(ji,jj,jk) * ( zabe1 * zgtbu(ji,jj,jk) & |
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| 192 | & + zcof1 * ( zdkt (ji+1,jj) + zdk1t(ji,jj) & |
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| 193 | & + zdk1t(ji+1,jj) + zdkt (ji,jj) ) ) |
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| 194 | zftv(ji,jj,jk) = vmask(ji,jj,jk) * ( zabe2 * zgtbv(ji,jj,jk) & |
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| 195 | & + zcof2 * ( zdkt (ji,jj+1) + zdk1t(ji,jj) & |
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| 196 | & + zdk1t(ji,jj+1) + zdkt (ji,jj) ) ) |
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| 197 | zfsu(ji,jj,jk) = umask(ji,jj,jk) * ( zabe1 * zgsbu(ji,jj,jk) & |
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| 198 | & + zcof1 * ( zdks (ji+1,jj) + zdk1s(ji,jj) & |
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| 199 | & + zdk1s(ji+1,jj) + zdks (ji,jj) ) ) |
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| 200 | zfsv(ji,jj,jk) = vmask(ji,jj,jk) * ( zabe2 * zgsbv(ji,jj,jk) & |
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| 201 | & + zcof2 * ( zdks (ji,jj+1) + zdk1s(ji,jj) & |
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| 202 | & + zdk1s(ji,jj+1) + zdks (ji,jj) ) ) |
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| 203 | END DO |
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| 204 | END DO |
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| 205 | |
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[63] | 206 | #if defined key_traldf_eiv |
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| 207 | ! ---------------------------------------! |
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| 208 | ! Eddy induced vertical advective fluxes ! |
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| 209 | ! ---------------------------------------! |
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[3] | 210 | DO jj = 1, jpjm1 |
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| 211 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 212 | zuwk = ( wslpi(ji,jj,jk ) + wslpi(ji+1,jj ,jk ) ) * fsaeiu(ji,jj,jk ) * umask(ji,jj,jk ) |
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| 213 | zuwk1= ( wslpi(ji,jj,jk+1) + wslpi(ji+1,jj ,jk+1) ) * fsaeiu(ji,jj,jk+1) * umask(ji,jj,jk+1) |
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| 214 | zvwk = ( wslpj(ji,jj,jk ) + wslpj(ji ,jj+1,jk ) ) * fsaeiv(ji,jj,jk ) * vmask(ji,jj,jk ) |
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| 215 | zvwk1= ( wslpj(ji,jj,jk+1) + wslpj(ji ,jj+1,jk+1) ) * fsaeiv(ji,jj,jk+1) * vmask(ji,jj,jk+1) |
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| 216 | |
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| 217 | zcg1= -0.25 * e2u(ji,jj) * umask(ji,jj,jk) * ( zuwk-zuwk1 ) |
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| 218 | zcg2= -0.25 * e1v(ji,jj) * vmask(ji,jj,jk) * ( zvwk-zvwk1 ) |
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| 219 | |
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| 220 | zftug(ji,jj) = zcg1 * ( tb(ji+1,jj,jk) + tb(ji,jj,jk) ) |
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| 221 | zftvg(ji,jj) = zcg2 * ( tb(ji,jj+1,jk) + tb(ji,jj,jk) ) |
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| 222 | zfsug(ji,jj) = zcg1 * ( sb(ji+1,jj,jk) + sb(ji,jj,jk) ) |
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| 223 | zfsvg(ji,jj) = zcg2 * ( sb(ji,jj+1,jk) + sb(ji,jj,jk) ) |
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| 224 | |
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| 225 | zftu(ji,jj,jk) = zftu(ji,jj,jk) + zftug(ji,jj) |
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| 226 | zftv(ji,jj,jk) = zftv(ji,jj,jk) + zftvg(ji,jj) |
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| 227 | zfsu(ji,jj,jk) = zfsu(ji,jj,jk) + zfsug(ji,jj) |
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| 228 | zfsv(ji,jj,jk) = zfsv(ji,jj,jk) + zfsvg(ji,jj) |
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| 229 | # if defined key_diaeiv |
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| 230 | u_eiv(ji,jj,jk) = -2. * zcg1 / ( e2u(ji,jj) * fse3u(ji,jj,jk) ) |
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| 231 | v_eiv(ji,jj,jk) = -2. * zcg2 / ( e1v(ji,jj) * fse3v(ji,jj,jk) ) |
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| 232 | # endif |
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| 233 | END DO |
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| 234 | END DO |
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[63] | 235 | #endif |
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[3] | 236 | |
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| 237 | ! II.4 Second derivative (divergence) and add to the general trend |
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| 238 | ! ---------------------------------------------------------------- |
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| 239 | |
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| 240 | DO jj = 2 , jpjm1 |
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| 241 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 242 | zbtr= 1. / ( e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk) ) |
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| 243 | zta = zbtr * ( zftu(ji,jj,jk) - zftu(ji-1,jj,jk) + zftv(ji,jj,jk) - zftv(ji,jj-1,jk) ) |
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| 244 | zsa = zbtr * ( zfsu(ji,jj,jk) - zfsu(ji-1,jj,jk) + zfsv(ji,jj,jk) - zfsv(ji,jj-1,jk) ) |
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| 245 | ta (ji,jj,jk) = ta (ji,jj,jk) + zta |
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| 246 | sa (ji,jj,jk) = sa (ji,jj,jk) + zsa |
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| 247 | END DO |
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| 248 | END DO |
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| 249 | ! ! =============== |
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| 250 | END DO ! End of slab |
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| 251 | ! ! =============== |
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| 252 | |
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[216] | 253 | ! save the trends for diagnostic |
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| 254 | ! save the horizontal diffusive trends |
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| 255 | IF( l_trdtra ) THEN |
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| 256 | # if defined key_traldf_eiv |
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| 257 | DO jk = 1 , jpkm1 |
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| 258 | DO jj = 2 , jpjm1 |
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| 259 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 260 | zbtr= 1. / ( e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk) ) |
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| 261 | tladi(ji,jj,jk) = ( zftug(ji,jj) - zftug(ji-1,jj ) ) * zbtr |
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| 262 | tladj(ji,jj,jk) = ( zftvg(ji,jj) - zftvg(ji ,jj-1) ) * zbtr |
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| 263 | sladi(ji,jj,jk) = ( zfsug(ji,jj) - zfsug(ji-1,jj ) ) * zbtr |
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| 264 | sladj(ji,jj,jk) = ( zfsvg(ji,jj) - zfsvg(ji ,jj-1) ) * zbtr |
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| 265 | END DO |
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| 266 | END DO |
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| 267 | END DO |
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| 268 | # else |
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| 269 | tladi(:,:,:) = 0.e0 |
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| 270 | tladj(:,:,:) = 0.e0 |
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| 271 | sladi(:,:,:) = 0.e0 |
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| 272 | sladj(:,:,:) = 0.e0 |
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| 273 | # endif |
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| 274 | |
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| 275 | ! Substract the eddy induced velocity for T/S |
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| 276 | ztdta(:,:,:) = ta(:,:,:) - ztdta(:,:,:) - tladi(:,:,:) - tladj(:,:,:) |
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| 277 | ztdsa(:,:,:) = sa(:,:,:) - ztdsa(:,:,:) - sladi(:,:,:) - sladj(:,:,:) |
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| 278 | |
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| 279 | CALL trd_mod(ztdta, ztdsa, jpttdldf, 'TRA', kt) |
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| 280 | ENDIF |
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| 281 | |
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[258] | 282 | IF(ln_ctl) THEN ! print mean trends (used for debugging) |
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| 283 | CALL prt_ctl(tab3d_1=ta, clinfo1=' ldf - Ta: ', mask1=tmask, & |
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| 284 | & tab3d_2=sa, clinfo2=' Sa: ', mask2=tmask, clinfo3='tra') |
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[3] | 285 | ENDIF |
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| 286 | |
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| 287 | |
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| 288 | !!bug no separation of diff iso and eiv |
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[132] | 289 | IF( ln_diaptr .AND. ( MOD( kt, nf_ptr ) == 0 ) ) THEN |
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[3] | 290 | ! "zonal" mean lateral diffusive heat and salt transports |
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[132] | 291 | pht_ldf(:) = ptr_vj( zftv(:,:,:) ) |
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| 292 | pst_ldf(:) = ptr_vj( zfsv(:,:,:) ) |
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[3] | 293 | ! "zonal" mean lateral eddy induced velocity heat and salt transports |
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[132] | 294 | pht_eiv(:) = ptr_vj( zftv(:,:,:) ) |
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| 295 | pst_eiv(:) = ptr_vj( zfsv(:,:,:) ) |
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[3] | 296 | ENDIF |
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| 297 | |
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| 298 | END SUBROUTINE tra_ldf_iso_zps |
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| 299 | |
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| 300 | #else |
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| 301 | !!---------------------------------------------------------------------- |
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| 302 | !! default option : Dummy code NO rotation of the diffusive tensor |
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| 303 | !!---------------------------------------------------------------------- |
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| 304 | CONTAINS |
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| 305 | SUBROUTINE tra_ldf_iso_zps( kt ) ! Empty routine |
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[22] | 306 | WRITE(*,*) 'tra_ldf_iso_zps: You should not have seen this print! error?', kt |
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[3] | 307 | END SUBROUTINE tra_ldf_iso_zps |
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| 308 | #endif |
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| 309 | |
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| 310 | !!============================================================================== |
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| 311 | END MODULE traldf_iso_zps |
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