[941] | 1 | MODULE trcldf_iso_zps |
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[1175] | 2 | !!====================================================================== |
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[941] | 3 | !! *** MODULE trcldf_iso_zps *** |
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| 4 | !! Ocean passive tracers: horizontal component of the lateral tracer mixing trend |
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[1175] | 5 | !!====================================================================== |
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| 6 | !! History : ! 94-08 (G. Madec, M. Imbard) |
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| 7 | !! ! 97-05 (G. Madec) split into traldf and trazdf |
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| 8 | !! 8.5 ! 02-08 (G. Madec) Free form, F90 |
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| 9 | !! 9.0 ! 04-03 (C. Ethe) adapted for passive tracers |
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| 10 | !! ! 07-02 (C. Deltel) Diagnose ML trends for passive tracers |
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[941] | 11 | !!---------------------------------------------------------------------- |
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[1175] | 12 | #if key_top && defined key_ldfslp |
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| 13 | !!---------------------------------------------------------------------- |
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[941] | 14 | !! 'key_ldfslp' slope of the lateral diffusive direction |
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| 15 | !!---------------------------------------------------------------------- |
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| 16 | !! trc_ldf_iso_zps : update the tracer trend with the horizontal |
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| 17 | !! component of a iso-neutral laplacian operator |
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| 18 | !!---------------------------------------------------------------------- |
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| 19 | USE oce_trc ! ocean dynamics and active tracers variables |
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[1119] | 20 | USE trp_trc ! ocean passive tracers variables |
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[941] | 21 | USE prtctl_trc ! Print control for debbuging |
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[1175] | 22 | USE trdmld_trc |
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| 23 | USE trdmld_trc_oce |
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[941] | 24 | |
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| 25 | IMPLICIT NONE |
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| 26 | PRIVATE |
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| 27 | |
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| 28 | PUBLIC trc_ldf_iso_zps ! routine called by step.F90 |
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| 29 | |
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| 30 | !! * Substitutions |
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| 31 | # include "top_substitute.h90" |
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| 32 | !!---------------------------------------------------------------------- |
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| 33 | !! TOP 1.0 , LOCEAN-IPSL (2005) |
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[1175] | 34 | !! $Header: /home/opalod/NEMOCVSROOT/NEMO/TOP_SRC/TRP/trcldf_iso_zps.F90,v 1.10 2006/09/12 11:10:14 opalod Exp $ |
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| 35 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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[941] | 36 | !!---------------------------------------------------------------------- |
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| 37 | |
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| 38 | CONTAINS |
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| 39 | |
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| 40 | SUBROUTINE trc_ldf_iso_zps( kt ) |
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| 41 | !!---------------------------------------------------------------------- |
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| 42 | !! *** ROUTINE trc_ldf_iso_zps *** |
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| 43 | !! |
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| 44 | !! ** Purpose : Compute the before horizontal tracer diffusive |
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| 45 | !! trend and add it to the general trend of tracer equation. |
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| 46 | !! |
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| 47 | !! ** Method : The horizontal component of the lateral diffusive trends |
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| 48 | !! is provided by a 2nd order operator rotated along neural or geopo- |
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| 49 | !! tential surfaces to which an eddy induced advection can be added |
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| 50 | !! It is computed using before fields (forward in time) and isopyc- |
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| 51 | !! nal or geopotential slopes computed in routine ldfslp. |
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| 52 | !! |
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| 53 | !! horizontal fluxes associated with the rotated lateral mixing: |
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| 54 | !! zftu = (aht+ahtb0) e2u*e3u/e1u di[ tb ] |
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| 55 | !! - aht e2u*uslp dk[ mi(mk(trb)) ] |
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| 56 | !! zftv = (aht+ahtb0) e1v*e3v/e2v dj[ tb ] |
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| 57 | !! - aht e2u*vslp dk[ mj(mk(trb)) ] |
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| 58 | !! add horizontal Eddy Induced advective fluxes (lk_traldf_eiv=T): |
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| 59 | !! zftu = zftu - dk-1[ aht e2u mi(wslpi) ] mi( trb ) |
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| 60 | !! zftv = zftv - dk-1[ aht e1v mj(wslpj) ] mj( trb ) |
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| 61 | !! take the horizontal divergence of the fluxes: |
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| 62 | !! difft = 1/(e1t*e2t*e3t) { di-1[ zftu ] + dj-1[ zftv ] } |
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| 63 | !! Add this trend to the general trend tra : |
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| 64 | !! tra = tra + difft |
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| 65 | !! |
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| 66 | !! 'key_trdtra' defined: the trend is saved for diagnostics. |
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| 67 | !! |
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| 68 | !! macro-tasked on horizontal slab (jk-loop). |
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| 69 | !! |
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| 70 | !! ** Action : |
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| 71 | !! Update tra arrays with the before along level biharmonic |
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| 72 | !! mixing trend. |
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[1175] | 73 | !! Save the trends if 'key_trdmld_trc' defined |
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[941] | 74 | !!---------------------------------------------------------------------- |
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| 75 | USE oce_trc , zftu => ua, & ! use ua as workspace |
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[1328] | 76 | & zftv => va ! use va as workspace |
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[1175] | 77 | !! |
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[941] | 78 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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| 79 | INTEGER :: ji, jj, jk,jn ! dummy loop indices |
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| 80 | INTEGER :: iku, ikv ! temporary integer |
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| 81 | REAL(wp) :: & |
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| 82 | zabe1, zabe2, zcof1, zcof2, & ! temporary scalars |
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[1353] | 83 | zmsku, zmskv, zbtr, ztra |
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[941] | 84 | |
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| 85 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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| 86 | zdkt , zdk1t ! temporary workspace |
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| 87 | |
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| 88 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
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[1328] | 89 | zgtbu, zgtbv ! temporary workspace |
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[941] | 90 | |
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| 91 | #if defined key_trcldf_eiv |
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| 92 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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[1175] | 93 | zftug, zftvg ! temporary workspace |
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[941] | 94 | REAL(wp) :: & |
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[1353] | 95 | z_hdivn_x, z_hdivn_y, zcg1, zcg2, & |
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| 96 | zuwk, zvwk, zuwk1, zvwk1 |
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[941] | 97 | #endif |
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| 98 | CHARACTER (len=22) :: charout |
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[1175] | 99 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: ztrtrd |
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| 100 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: ztrtrd_xei |
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| 101 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: ztrtrd_yei |
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[941] | 102 | !!---------------------------------------------------------------------- |
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| 103 | |
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| 104 | IF( kt == nittrc000 ) THEN |
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| 105 | IF(lwp) WRITE(numout,*) |
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| 106 | IF(lwp) WRITE(numout,*) 'trc_ldf_iso_zps : iso neutral laplacian diffusion in ' |
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| 107 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~ z-coordinates with partial steps' |
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| 108 | #if defined key_trcldf_eiv && defined key_diaeiv |
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| 109 | u_trc_eiv(:,:,:) = 0.e0 |
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| 110 | v_trc_eiv(:,:,:) = 0.e0 |
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| 111 | #endif |
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| 112 | ENDIF |
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| 113 | |
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[1175] | 114 | IF( l_trdtrc ) THEN |
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| 115 | ALLOCATE( ztrtrd(jpi,jpj,jpk) ) |
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| 116 | # if defined key_trcldf_eiv |
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| 117 | ALLOCATE( ztrtrd_xei(jpi,jpj,jpk) ) |
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| 118 | ALLOCATE( ztrtrd_yei(jpi,jpj,jpk) ) |
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| 119 | # endif |
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| 120 | ENDIF |
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[941] | 121 | |
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[1175] | 122 | ! ! =========== |
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| 123 | DO jn = 1, jptra ! tracer loop |
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| 124 | ! ! =========== |
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| 125 | IF( l_trdtrc ) ztrtrd(:,:,:) = tra(:,:,:,jn) ! save trends |
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[1328] | 126 | |
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| 127 | zgtbu(:,:,:) = 0. ; zgtbv(:,:,:) = 0. |
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[941] | 128 | ! Horizontal passive tracer gradient |
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| 129 | DO jk = 1, jpk |
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| 130 | DO jj = 1, jpj-1 |
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| 131 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 132 | zgtbu(ji,jj,jk) = tmask(ji,jj,jk) * ( trb(ji+1,jj ,jk,jn) - trb(ji,jj,jk,jn) ) |
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| 133 | zgtbv(ji,jj,jk) = tmask(ji,jj,jk) * ( trb(ji ,jj+1,jk,jn) - trb(ji,jj,jk,jn) ) |
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| 134 | END DO |
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| 135 | END DO |
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| 136 | END DO |
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| 137 | ! partial steps correction at the last level |
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| 138 | DO jj = 1, jpj-1 |
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| 139 | DO ji = 1, jpi-1 |
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| 140 | ! last level |
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| 141 | iku = MIN( mbathy(ji,jj), mbathy(ji+1,jj ) ) - 1 |
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| 142 | ikv = MIN( mbathy(ji,jj), mbathy(ji ,jj+1) ) - 1 |
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| 143 | zgtbu(ji,jj,iku) = gtru(ji,jj,jn) |
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| 144 | zgtbv(ji,jj,ikv) = gtrv(ji,jj,jn) |
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| 145 | END DO |
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| 146 | END DO |
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| 147 | |
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| 148 | ! ! =============== |
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| 149 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 150 | ! ! =============== |
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| 151 | ! 1. Vertical tracer gradient at level jk and jk+1 |
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| 152 | ! ------------------------------------------------ |
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| 153 | ! surface boundary condition: zdkt(jk=1)=zdkt(jk=2) |
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| 154 | |
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| 155 | zdk1t(:,:) = ( trb(:,:,jk,jn) - trb(:,:,jk+1,jn) ) * tmask(:,:,jk+1) |
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| 156 | |
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| 157 | IF( jk == 1 ) THEN |
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| 158 | zdkt(:,:) = zdk1t(:,:) |
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| 159 | ELSE |
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| 160 | zdkt(:,:) = ( trb(:,:,jk-1,jn) - trb(:,:,jk,jn) ) * tmask(:,:,jk) |
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| 161 | ENDIF |
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| 162 | |
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| 163 | ! 2. Horizontal fluxes |
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| 164 | ! -------------------- |
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| 165 | |
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| 166 | DO jj = 1 , jpjm1 |
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| 167 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 168 | zabe1 = ( fsahtru(ji,jj,jk) + ahtrb0 ) * e2u(ji,jj) * fse3u(ji,jj,jk) / e1u(ji,jj) |
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| 169 | zabe2 = ( fsahtrv(ji,jj,jk) + ahtrb0 ) * e1v(ji,jj) * fse3v(ji,jj,jk) / e2v(ji,jj) |
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| 170 | |
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| 171 | zmsku = 1. / MAX( tmask(ji+1,jj,jk ) + tmask(ji,jj,jk+1) & |
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[1175] | 172 | & + tmask(ji+1,jj,jk+1) + tmask(ji,jj,jk ), 1. ) |
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[941] | 173 | |
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| 174 | zmskv = 1. / MAX( tmask(ji,jj+1,jk ) + tmask(ji,jj,jk+1) & |
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[1175] | 175 | & + tmask(ji,jj+1,jk+1) + tmask(ji,jj,jk ), 1. ) |
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[941] | 176 | |
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| 177 | zcof1 = -fsahtru(ji,jj,jk) * e2u(ji,jj) * uslp(ji,jj,jk) * zmsku |
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| 178 | zcof2 = -fsahtrv(ji,jj,jk) * e1v(ji,jj) * vslp(ji,jj,jk) * zmskv |
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| 179 | |
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| 180 | zftu(ji,jj,jk) = umask(ji,jj,jk) * ( zabe1 * zgtbu(ji,jj,jk) & |
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[1175] | 181 | & + zcof1 * ( zdkt (ji+1,jj) + zdk1t(ji,jj) & |
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| 182 | & + zdk1t(ji+1,jj) + zdkt (ji,jj) ) ) |
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[941] | 183 | zftv(ji,jj,jk) = vmask(ji,jj,jk) * ( zabe2 * zgtbv(ji,jj,jk) & |
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[1175] | 184 | & + zcof2 * ( zdkt (ji,jj+1) + zdk1t(ji,jj) & |
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| 185 | & + zdk1t(ji,jj+1) + zdkt (ji,jj) ) ) |
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[941] | 186 | END DO |
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| 187 | END DO |
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| 188 | |
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| 189 | # if defined key_trcldf_eiv |
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[1175] | 190 | |
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| 191 | ! ... Eddy induced horizontal advective fluxes |
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[941] | 192 | DO jj = 1, jpjm1 |
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| 193 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 194 | zuwk = ( wslpi(ji,jj,jk ) + wslpi(ji+1,jj ,jk ) ) * fsaeitru(ji,jj,jk ) * umask(ji,jj,jk ) |
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| 195 | zuwk1= ( wslpi(ji,jj,jk+1) + wslpi(ji+1,jj ,jk+1) ) * fsaeitru(ji,jj,jk+1) * umask(ji,jj,jk+1) |
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| 196 | zvwk = ( wslpj(ji,jj,jk ) + wslpj(ji ,jj+1,jk ) ) * fsaeitrv(ji,jj,jk ) * vmask(ji,jj,jk ) |
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| 197 | zvwk1= ( wslpj(ji,jj,jk+1) + wslpj(ji ,jj+1,jk+1) ) * fsaeitrv(ji,jj,jk+1) * vmask(ji,jj,jk+1) |
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| 198 | |
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| 199 | zcg1= -0.25 * e2u(ji,jj) * umask(ji,jj,jk) * ( zuwk-zuwk1 ) |
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| 200 | zcg2= -0.25 * e1v(ji,jj) * vmask(ji,jj,jk) * ( zvwk-zvwk1 ) |
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| 201 | |
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| 202 | zftug(ji,jj) = zcg1 * ( trb(ji+1,jj,jk,jn) + trb(ji,jj,jk,jn) ) |
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| 203 | zftvg(ji,jj) = zcg2 * ( trb(ji,jj+1,jk,jn) + trb(ji,jj,jk,jn) ) |
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| 204 | |
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| 205 | zftu(ji,jj,jk) = zftu(ji,jj,jk) + zftug(ji,jj) |
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| 206 | zftv(ji,jj,jk) = zftv(ji,jj,jk) + zftvg(ji,jj) |
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| 207 | |
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| 208 | # if defined key_diaeiv |
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| 209 | u_trc_eiv(ji,jj,jk) = -2. * zcg1 / ( e2u(ji,jj) * fse3u(ji,jj,jk) ) |
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| 210 | v_trc_eiv(ji,jj,jk) = -2. * zcg2 / ( e1v(ji,jj) * fse3v(ji,jj,jk) ) |
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| 211 | # endif |
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| 212 | END DO |
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| 213 | END DO |
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| 214 | # endif |
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| 215 | |
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[1175] | 216 | ! 3. Second derivative (divergence) and add to the general trend |
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| 217 | ! -------------------------------------------------------------- |
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[941] | 218 | |
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| 219 | DO jj = 2 , jpjm1 |
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| 220 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[1353] | 221 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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[941] | 222 | ztra = zbtr * ( zftu(ji,jj,jk) - zftu(ji-1,jj,jk) + zftv(ji,jj,jk) - zftv(ji,jj-1,jk) ) |
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[1353] | 223 | tra(ji,jj,jk,jn) = tra (ji,jj,jk,jn) + ztra |
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[941] | 224 | END DO |
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| 225 | END DO |
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[1353] | 226 | |
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[941] | 227 | #if defined key_trc_diatrd |
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| 228 | DO jj = 2 , jpjm1 |
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| 229 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[1353] | 230 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 231 | IF( luttrd(jn) ) THEN |
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| 232 | trtrd (ji,jj,jk,ikeep(jn),4) = zbtr * ( zftu(ji,jj,jk) - zftu(ji-1, jj,jk) ) |
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| 233 | trtrd (ji,jj,jk,ikeep(jn),5) = zbtr * ( zftv(ji,jj,jk) - zftv(ji ,jj-1,jk) ) |
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| 234 | ENDIF |
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| 235 | # if defined key_trcldf_eiv |
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| 236 | IF( luttrd(jn) ) THEN |
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| 237 | trtrd (ji,jj,jk,ikeep(jn),4) = trtrd(ji,jj,jk,ikeep(jn),4) & |
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| 238 | & - zbtr * ( zftug(ji,jj) - zftug(ji-1,jj ) ) |
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| 239 | trtrd (ji,jj,jk,ikeep(jn),5) = trtrd(ji,jj,jk,ikeep(jn),5) & |
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| 240 | & - zbtr * ( zftvg(ji,jj) - zftvg(ji ,jj-1) ) |
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| 241 | ENDIF |
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| 242 | # endif |
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[941] | 243 | END DO |
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| 244 | END DO |
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| 245 | #endif |
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[1175] | 246 | |
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[941] | 247 | ! ! =============== |
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| 248 | END DO ! End of slab |
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| 249 | ! ! =============== |
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| 250 | |
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[1175] | 251 | ! 4. Save the horizontal diffusive and advective (eiv) trends for diagnostics |
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| 252 | ! --------------------------------------------------------------------------- |
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| 253 | IF( l_trdtrc ) THEN |
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| 254 | |
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| 255 | ! 4.1) Compute the eiv ZONAL & MERIDIONAL advective trends |
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| 256 | |
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| 257 | # if defined key_trcldf_eiv |
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| 258 | ! ! =============== |
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| 259 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 260 | ! ! =============== |
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| 261 | |
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| 262 | DO jj = 1, jpjm1 |
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| 263 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 264 | zuwk = ( wslpi(ji,jj,jk ) + wslpi(ji+1,jj ,jk ) ) * fsaeitru(ji,jj,jk ) * umask(ji,jj,jk ) |
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| 265 | zuwk1= ( wslpi(ji,jj,jk+1) + wslpi(ji+1,jj ,jk+1) ) * fsaeitru(ji,jj,jk+1) * umask(ji,jj,jk+1) |
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| 266 | zvwk = ( wslpj(ji,jj,jk ) + wslpj(ji ,jj+1,jk ) ) * fsaeitrv(ji,jj,jk ) * vmask(ji,jj,jk ) |
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| 267 | zvwk1= ( wslpj(ji,jj,jk+1) + wslpj(ji ,jj+1,jk+1) ) * fsaeitrv(ji,jj,jk+1) * vmask(ji,jj,jk+1) |
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| 268 | |
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| 269 | zcg1= -0.25 * e2u(ji,jj) * umask(ji,jj,jk) * ( zuwk-zuwk1 ) |
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| 270 | zcg2= -0.25 * e1v(ji,jj) * vmask(ji,jj,jk) * ( zvwk-zvwk1 ) |
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| 271 | |
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| 272 | zftug(ji,jj) = zcg1 * ( trb(ji+1,jj,jk,jn) + trb(ji,jj,jk,jn) ) |
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| 273 | zftvg(ji,jj) = zcg2 * ( trb(ji,jj+1,jk,jn) + trb(ji,jj,jk,jn) ) |
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| 274 | END DO |
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| 275 | END DO |
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| 276 | |
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| 277 | DO jj = 2 , jpjm1 |
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| 278 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 279 | |
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| 280 | zbtr = 1. / ( e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk) ) |
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| 281 | |
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| 282 | !-- Compute zonal & meridional divergences of the eiv field : |
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| 283 | ! d_x[u_trc_eiv] = 1/(e1t*e2t*e3t) ( di[e2u*e3u u_trc_eiv] ) |
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| 284 | ! d_y[v_trc_eiv] = 1/(e1t*e2t*e3t) ( dj[e1v*e3v v_trc_eiv] ) |
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| 285 | ! N.B. This is only possible if key_diaeiv is switched on. |
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| 286 | # if defined key_diaeiv |
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| 287 | z_hdivn_x = ( e2u(ji ,jj) * fse3u(ji ,jj,jk) * u_trc_eiv(ji ,jj ,jk) & |
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| 288 | & - e2u(ji-1,jj) * fse3u(ji-1,jj,jk) * u_trc_eiv(ji-1,jj ,jk) ) * zbtr |
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| 289 | z_hdivn_y = ( e1v(ji, jj) * fse3v(ji,jj ,jk) * v_trc_eiv(ji, jj ,jk) & |
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| 290 | & - e1v(ji,jj-1) * fse3v(ji,jj-1,jk) * v_trc_eiv(ji ,jj-1,jk) ) * zbtr |
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| 291 | # else |
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| 292 | z_hdivn_x = 0.e0 ; z_hdivn_y = 0.e0 |
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| 293 | # endif |
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| 294 | !-- Compute the zonal advective trends associated with eiv |
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| 295 | ztrtrd_xei(ji,jj,jk) = zbtr * ( zftug(ji,jj) - zftug(ji-1,jj ) ) & |
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| 296 | & - trn(ji,jj,jk,jn) * z_hdivn_x |
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| 297 | |
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| 298 | !-- Compute the merid. advective trends associated with eiv |
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| 299 | ztrtrd_yei(ji,jj,jk) = zbtr * ( zftvg(ji,jj) - zftvg(ji ,jj-1) ) & |
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| 300 | & - trn(ji,jj,jk,jn) * z_hdivn_y |
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| 301 | |
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| 302 | END DO |
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| 303 | END DO |
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| 304 | ! ! =============== |
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| 305 | END DO ! End of slab |
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| 306 | ! ! =============== |
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| 307 | # else |
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| 308 | ztrtrd_xei(:,:,:) = 0.e0 |
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| 309 | ztrtrd_yei(:,:,:) = 0.e0 |
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| 310 | # endif |
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| 311 | ! 4.2) Substract the eddy induced velocity |
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| 312 | ztrtrd(:,:,:) = tra(:,:,:,jn) - ztrtrd(:,:,:) - ztrtrd_xei(:,:,:) - ztrtrd_yei(:,:,:) |
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| 313 | |
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| 314 | IF (luttrd(jn)) CALL trd_mod_trc( ztrtrd , jn, jptrc_trd_ldf, kt ) |
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| 315 | # if defined key_trcldf_eiv |
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| 316 | IF (luttrd(jn)) CALL trd_mod_trc( ztrtrd_xei, jn, jptrc_trd_xei, kt ) |
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| 317 | IF (luttrd(jn)) CALL trd_mod_trc( ztrtrd_yei, jn, jptrc_trd_yei, kt ) |
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| 318 | # endif |
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| 319 | |
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| 320 | ENDIF |
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| 321 | ! ! =========== |
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| 322 | END DO ! tracer loop |
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| 323 | ! ! =========== |
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[1328] | 324 | IF( l_trdtrc ) THEN |
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| 325 | DEALLOCATE( ztrtrd ) |
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| 326 | # if defined key_trcldf_eiv |
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| 327 | DEALLOCATE( ztrtrd_xei ) |
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| 328 | DEALLOCATE( ztrtrd_yei ) |
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| 329 | # endif |
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| 330 | ENDIF |
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[1175] | 331 | |
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| 332 | IF( ln_ctl ) THEN ! print mean trends (used for debugging) |
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[941] | 333 | WRITE(charout, FMT="('ldf - iso/zps')") |
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[1175] | 334 | CALL prt_ctl_trc_info( charout ) |
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| 335 | CALL prt_ctl_trc( tab4d=tra, mask=tmask, clinfo=ctrcnm,clinfo2='trd' ) |
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[941] | 336 | ENDIF |
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| 337 | |
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| 338 | END SUBROUTINE trc_ldf_iso_zps |
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| 339 | |
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| 340 | #else |
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| 341 | !!---------------------------------------------------------------------- |
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| 342 | !! default option : Dummy code NO rotation of the diffusive tensor |
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| 343 | !!---------------------------------------------------------------------- |
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| 344 | CONTAINS |
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| 345 | SUBROUTINE trc_ldf_iso_zps( kt ) ! Empty routine |
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| 346 | INTEGER, INTENT(in) :: kt |
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| 347 | WRITE(*,*) 'trc_ldf_iso_zps: You should not have seen this print! error?', kt |
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| 348 | END SUBROUTINE trc_ldf_iso_zps |
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| 349 | #endif |
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| 350 | |
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| 351 | !!============================================================================== |
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| 352 | END MODULE trcldf_iso_zps |
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