[3] | 1 | MODULE traldf_iso |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE traldf_iso *** |
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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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| 6 | #if defined key_ldfslp || defined key_esopa |
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| 7 | !!---------------------------------------------------------------------- |
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| 8 | !! 'key_ldfslp' rotation of the lateral mixing tensor |
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| 9 | !!---------------------------------------------------------------------- |
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| 10 | !! tra_ldf_iso : update the tracer trend with the horizontal component |
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| 11 | !! of iso neutral laplacian operator or horizontal |
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| 12 | !! laplacian operator in s-coordinate |
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| 13 | !!---------------------------------------------------------------------- |
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| 14 | !! * Modules used |
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| 15 | USE oce ! ocean dynamics and tracers variables |
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| 16 | USE dom_oce ! ocean space and time domain variables |
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[74] | 17 | USE ldftra_oce ! ocean active tracers: lateral physics |
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[216] | 18 | USE trdmod ! ocean active tracers trends |
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| 19 | USE trdmod_oce ! ocean variables trends |
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[3] | 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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[3] | 23 | |
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| 24 | IMPLICIT NONE |
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| 25 | PRIVATE |
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| 26 | |
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| 27 | !! * Routine accessibility |
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| 28 | PUBLIC tra_ldf_iso ! routine called by step.F90 |
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| 29 | |
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| 30 | !! * Substitutions |
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| 31 | # include "domzgr_substitute.h90" |
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| 32 | # include "ldftra_substitute.h90" |
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| 33 | # include "ldfeiv_substitute.h90" |
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| 34 | # include "vectopt_loop_substitute.h90" |
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| 35 | !!---------------------------------------------------------------------- |
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[247] | 36 | !!---------------------------------------------------------------------- |
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| 37 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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| 38 | !! $Header$ |
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| 39 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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| 40 | !!---------------------------------------------------------------------- |
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[3] | 41 | CONTAINS |
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| 42 | |
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| 43 | SUBROUTINE tra_ldf_iso( kt ) |
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| 44 | !!---------------------------------------------------------------------- |
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| 45 | !! *** ROUTINE tra_ldf_iso *** |
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| 46 | !! |
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| 47 | !! ** Purpose : Compute the before horizontal tracer (t & s) diffusive |
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| 48 | !! trend and add it to the general trend of tracer equation. |
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| 49 | !! |
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| 50 | !! ** Method : The horizontal component of the lateral diffusive trends |
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| 51 | !! is provided by a 2nd order operator rotated along neural or geopo- |
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| 52 | !! tential surfaces to which an eddy induced advection can be added |
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| 53 | !! It is computed using before fields (forward in time) and isopyc- |
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| 54 | !! nal or geopotential slopes computed in routine ldfslp. |
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| 55 | !! |
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| 56 | !! horizontal fluxes associated with the rotated lateral mixing: |
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| 57 | !! zftu = (aht+ahtb0) e2u*e3u/e1u di[ tb ] |
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| 58 | !! - aht e2u*uslp dk[ mi(mk(tb)) ] |
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| 59 | !! zftv = (aht+ahtb0) e1v*e3v/e2v dj[ tb ] |
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| 60 | !! - aht e2u*vslp dk[ mj(mk(tb)) ] |
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| 61 | !! add horizontal Eddy Induced advective fluxes (lk_traldf_eiv=T): |
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| 62 | !! zftu = zftu - dk-1[ aht e2u mi(wslpi) ] mi( tb ) |
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| 63 | !! zftv = zftv - dk-1[ aht e1v mj(wslpj) ] mj( tb ) |
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| 64 | !! take the horizontal divergence of the fluxes: |
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| 65 | !! difft = 1/(e1t*e2t*e3t) { di-1[ zftu ] + dj-1[ zftv ] } |
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| 66 | !! Add this trend to the general trend (ta,sa): |
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| 67 | !! ta = ta + difft |
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| 68 | !! |
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| 69 | !! ** Action : - Update (ta,sa) arrays with the before isopycnal or |
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| 70 | !! geopotential s-coord harmonic mixing trend. |
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[216] | 71 | !! - Save the trends in (ztdta,ztdsa) ('key_trdtra') |
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[3] | 72 | !! |
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| 73 | !! History : |
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| 74 | !! ! 94-08 (G. Madec, M. Imbard) |
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| 75 | !! ! 97-05 (G. Madec) split into traldf and trazdf |
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| 76 | !! 8.5 ! 02-08 (G. Madec) Free form, F90 |
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[216] | 77 | !! 9.0 ! 04-08 (C. Talandier) New trends organization |
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[3] | 78 | !!---------------------------------------------------------------------- |
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| 79 | !! * Modules used |
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| 80 | USE oce , zftu => ua, & ! use ua as workspace |
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| 81 | & zfsu => va ! use va as workspace |
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| 82 | |
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| 83 | !! * Arguments |
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| 84 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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| 85 | |
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| 86 | !! * Local declarations |
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| 87 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 88 | REAL(wp) :: & |
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| 89 | zabe1, zabe2, zcof1, zcof2, & ! temporary scalars |
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[34] | 90 | #if defined key_traldf_eiv |
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[3] | 91 | zcg1, zcg2, zuwk, zvwk, & |
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| 92 | zuwk1, zvwk1, & |
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[34] | 93 | #endif |
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[216] | 94 | zmsku, zmskv, zbtr, zta, zsa |
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[3] | 95 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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| 96 | zdkt, zdk1t, & ! workspace |
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[34] | 97 | zdks, zdk1s |
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| 98 | #if defined key_traldf_eiv |
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| 99 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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| 100 | zftug, zftvg, & |
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[3] | 101 | zfsug, zfsvg |
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[34] | 102 | #endif |
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[3] | 103 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
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[216] | 104 | zftv, zfsv, & ! workspace |
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| 105 | ztdta, ztdsa |
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[3] | 106 | !!---------------------------------------------------------------------- |
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| 107 | |
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| 108 | IF( kt == nit000 ) THEN |
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| 109 | IF(lwp) WRITE(numout,*) |
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| 110 | IF(lwp) WRITE(numout,*) 'tra_ldf_iso : iso neutral lateral diffusion or' |
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| 111 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ horizontal laplacian diffusion in s-coordinate' |
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| 112 | #if defined key_diaeiv |
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| 113 | u_eiv(:,:,:) = 0.e0 |
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| 114 | v_eiv(:,:,:) = 0.e0 |
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| 115 | #endif |
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| 116 | ENDIF |
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| 117 | |
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[216] | 118 | ! Save ta and sa trends |
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| 119 | IF( l_trdtra ) THEN |
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| 120 | ztdta(:,:,:) = ta(:,:,:) |
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| 121 | ztdsa(:,:,:) = sa(:,:,:) |
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| 122 | ENDIF |
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[3] | 123 | |
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| 124 | ! ! =============== |
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| 125 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 126 | ! ! =============== |
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| 127 | ! 1. Vertical tracer gradient at level jk and jk+1 |
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| 128 | ! ------------------------------------------------ |
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| 129 | ! surface boundary condition: zdkt(jk=1)=zdkt(jk=2) |
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| 130 | |
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| 131 | zdk1t(:,:) = ( tb(:,:,jk) - tb(:,:,jk+1) ) * tmask(:,:,jk+1) |
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| 132 | zdk1s(:,:) = ( sb(:,:,jk) - sb(:,:,jk+1) ) * tmask(:,:,jk+1) |
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| 133 | |
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| 134 | IF( jk == 1 ) THEN |
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| 135 | zdkt(:,:) = zdk1t(:,:) |
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| 136 | zdks(:,:) = zdk1s(:,:) |
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| 137 | ELSE |
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| 138 | zdkt(:,:) = ( tb(:,:,jk-1) - tb(:,:,jk) ) * tmask(:,:,jk) |
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| 139 | zdks(:,:) = ( sb(:,:,jk-1) - sb(:,:,jk) ) * tmask(:,:,jk) |
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| 140 | ENDIF |
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| 141 | |
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| 142 | |
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| 143 | ! 2. Horizontal fluxes |
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| 144 | ! -------------------- |
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| 145 | |
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| 146 | DO jj = 1 , jpjm1 |
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| 147 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 148 | zabe1 = ( fsahtu(ji,jj,jk) + ahtb0 ) * e2u(ji,jj) * fse3u(ji,jj,jk) / e1u(ji,jj) |
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| 149 | zabe2 = ( fsahtv(ji,jj,jk) + ahtb0 ) * e1v(ji,jj) * fse3v(ji,jj,jk) / e2v(ji,jj) |
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| 150 | |
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| 151 | zmsku = 1. / MAX( tmask(ji+1,jj,jk ) + tmask(ji,jj,jk+1) & |
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| 152 | + tmask(ji+1,jj,jk+1) + tmask(ji,jj,jk ), 1. ) |
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| 153 | |
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| 154 | zmskv = 1. / MAX( tmask(ji,jj+1,jk ) + tmask(ji,jj,jk+1) & |
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| 155 | + tmask(ji,jj+1,jk+1) + tmask(ji,jj,jk ), 1. ) |
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| 156 | |
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| 157 | zcof1 = -fsahtu(ji,jj,jk) * e2u(ji,jj) * uslp(ji,jj,jk) * zmsku |
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| 158 | zcof2 = -fsahtv(ji,jj,jk) * e1v(ji,jj) * vslp(ji,jj,jk) * zmskv |
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| 159 | |
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| 160 | zftu(ji,jj,jk) = umask(ji,jj,jk) * ( zabe1 * ( tb(ji+1,jj,jk) - tb(ji,jj,jk) ) & |
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| 161 | & + zcof1 * ( zdkt (ji+1,jj) + zdk1t(ji,jj) & |
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| 162 | & + zdk1t(ji+1,jj) + zdkt (ji,jj) ) ) |
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| 163 | |
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| 164 | zftv(ji,jj,jk) = vmask(ji,jj,jk) * ( zabe2 * ( tb(ji,jj+1,jk) - tb(ji,jj,jk) ) & |
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| 165 | & + zcof2 * ( zdkt (ji,jj+1) + zdk1t(ji,jj) & |
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| 166 | & + zdk1t(ji,jj+1) + zdkt (ji,jj) ) ) |
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| 167 | |
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| 168 | zfsu(ji,jj,jk) = umask(ji,jj,jk) * ( zabe1 * ( sb(ji+1,jj,jk) - sb(ji,jj,jk) ) & |
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| 169 | & + zcof1 * ( zdks (ji+1,jj) + zdk1s(ji,jj) & |
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| 170 | & + zdk1s(ji+1,jj) + zdks (ji,jj) ) ) |
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| 171 | |
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| 172 | zfsv(ji,jj,jk) = vmask(ji,jj,jk) * ( zabe2 * ( sb(ji,jj+1,jk) - sb(ji,jj,jk) ) & |
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| 173 | & + zcof2 * ( zdks (ji,jj+1) + zdk1s(ji,jj) & |
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| 174 | & + zdk1s(ji,jj+1) + zdks (ji,jj) ) ) |
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| 175 | END DO |
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| 176 | END DO |
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| 177 | |
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[34] | 178 | # if defined key_traldf_eiv |
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[3] | 179 | ! ! ---------------------------------------! |
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[34] | 180 | ! ! Eddy induced vertical advective fluxes ! |
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| 181 | ! ! ---------------------------------------! |
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[3] | 182 | DO jj = 1, jpjm1 |
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| 183 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 184 | zuwk = ( wslpi(ji,jj,jk ) + wslpi(ji+1,jj,jk ) ) * fsaeiu(ji,jj,jk ) * umask(ji,jj,jk ) |
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| 185 | 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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| 186 | zvwk = ( wslpj(ji,jj,jk ) + wslpj(ji,jj+1,jk ) ) * fsaeiv(ji,jj,jk ) * vmask(ji,jj,jk ) |
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| 187 | 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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| 188 | |
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| 189 | zcg1= -0.25 * e2u(ji,jj) * umask(ji,jj,jk) * ( zuwk-zuwk1 ) |
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| 190 | zcg2= -0.25 * e1v(ji,jj) * vmask(ji,jj,jk) * ( zvwk-zvwk1 ) |
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| 191 | |
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| 192 | zftug(ji,jj) = zcg1 * ( tb(ji+1,jj,jk) + tb(ji,jj,jk) ) |
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| 193 | zftvg(ji,jj) = zcg2 * ( tb(ji,jj+1,jk) + tb(ji,jj,jk) ) |
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| 194 | zfsug(ji,jj) = zcg1 * ( sb(ji+1,jj,jk) + sb(ji,jj,jk) ) |
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| 195 | zfsvg(ji,jj) = zcg2 * ( sb(ji,jj+1,jk) + sb(ji,jj,jk) ) |
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| 196 | |
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| 197 | zftu(ji,jj,jk) = zftu(ji,jj,jk) + zftug(ji,jj) |
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| 198 | zftv(ji,jj,jk) = zftv(ji,jj,jk) + zftvg(ji,jj) |
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| 199 | zfsu(ji,jj,jk) = zfsu(ji,jj,jk) + zfsug(ji,jj) |
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| 200 | zfsv(ji,jj,jk) = zfsv(ji,jj,jk) + zfsvg(ji,jj) |
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| 201 | # if defined key_diaeiv |
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| 202 | u_eiv(ji,jj,jk) = -2. * zcg1 / ( e2u(ji,jj) * fse3u(ji,jj,jk) ) |
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| 203 | v_eiv(ji,jj,jk) = -2. * zcg2 / ( e1v(ji,jj) * fse3v(ji,jj,jk) ) |
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| 204 | # endif |
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| 205 | END DO |
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| 206 | END DO |
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[34] | 207 | # endif |
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[3] | 208 | |
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| 209 | ! II.4 Second derivative (divergence) and add to the general trend |
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| 210 | ! ---------------------------------------------------------------- |
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| 211 | |
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| 212 | DO jj = 2 , jpjm1 |
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| 213 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 214 | zbtr= 1. / ( e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk) ) |
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| 215 | zta = zbtr * ( zftu(ji,jj,jk) - zftu(ji-1,jj ,jk) & |
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| 216 | & + zftv(ji,jj,jk) - zftv(ji ,jj-1,jk) ) |
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| 217 | zsa = zbtr * ( zfsu(ji,jj,jk) - zfsu(ji-1,jj ,jk) & |
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| 218 | & + zfsv(ji,jj,jk) - zfsv(ji ,jj-1,jk) ) |
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| 219 | ta (ji,jj,jk) = ta (ji,jj,jk) + zta |
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| 220 | sa (ji,jj,jk) = sa (ji,jj,jk) + zsa |
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| 221 | END DO |
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| 222 | END DO |
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| 223 | ! ! =============== |
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| 224 | END DO ! End of slab |
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| 225 | ! ! =============== |
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| 226 | |
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[216] | 227 | ! save the trends for diagnostic |
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| 228 | ! save the horizontal diffusive trends |
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| 229 | IF( l_trdtra ) THEN |
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| 230 | # if defined key_traldf_eiv |
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| 231 | DO jk = 1 , jpkm1 |
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| 232 | DO jj = 2 , jpjm1 |
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| 233 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 234 | zbtr= 1. / ( e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk) ) |
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| 235 | tladi(ji,jj,jk) = ( zftug(ji,jj) - zftug(ji-1,jj ) ) * zbtr |
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| 236 | tladj(ji,jj,jk) = ( zftvg(ji,jj) - zftvg(ji ,jj-1) ) * zbtr |
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| 237 | sladi(ji,jj,jk) = ( zfsug(ji,jj) - zfsug(ji-1,jj ) ) * zbtr |
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| 238 | sladj(ji,jj,jk) = ( zfsvg(ji,jj) - zfsvg(ji ,jj-1) ) * zbtr |
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| 239 | END DO |
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| 240 | END DO |
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| 241 | END DO |
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| 242 | # else |
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| 243 | tladi(:,:,:) = 0.e0 |
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| 244 | tladj(:,:,:) = 0.e0 |
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| 245 | sladi(:,:,:) = 0.e0 |
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| 246 | sladj(:,:,:) = 0.e0 |
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| 247 | # endif |
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| 248 | |
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| 249 | ! Substract the eddy induced velocity for T/S |
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| 250 | ztdta(:,:,:) = ta(:,:,:) - ztdta(:,:,:) - tladi(:,:,:) - tladj(:,:,:) |
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| 251 | ztdsa(:,:,:) = sa(:,:,:) - ztdsa(:,:,:) - sladi(:,:,:) - sladj(:,:,:) |
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| 252 | |
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| 253 | CALL trd_mod(ztdta, ztdsa, jpttdldf, 'TRA', kt) |
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| 254 | ENDIF |
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| 255 | |
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[106] | 256 | IF(l_ctl) THEN ! print mean trends (used for debugging) |
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| 257 | zta = SUM( ta(2:nictl,2:njctl,1:jpkm1) * tmask(2:nictl,2:njctl,1:jpkm1) ) |
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| 258 | zsa = SUM( sa(2:nictl,2:njctl,1:jpkm1) * tmask(2:nictl,2:njctl,1:jpkm1) ) |
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[3] | 259 | WRITE(numout,*) ' ldf - Ta: ', zta-t_ctl, ' Sa: ', zsa-s_ctl |
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| 260 | t_ctl = zta ; s_ctl = zsa |
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| 261 | ENDIF |
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| 262 | |
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| 263 | !!bug no separation of diff iso and eiv |
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[132] | 264 | IF( ln_diaptr .AND. ( MOD( kt, nf_ptr ) == 0 ) ) THEN |
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| 265 | ! "zonal" mean lateral diffusive heat and salt transports |
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| 266 | pht_ldf(:) = ptr_vj( zftv(:,:,:) ) |
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| 267 | pst_ldf(:) = ptr_vj( zfsv(:,:,:) ) |
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[3] | 268 | ! "zonal" mean lateral eddy induced velocity heat and salt transports |
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[132] | 269 | pht_eiv(:) = ptr_vj( zftv(:,:,:) ) |
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| 270 | pst_eiv(:) = ptr_vj( zfsv(:,:,:) ) |
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[3] | 271 | ENDIF |
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| 272 | |
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| 273 | END SUBROUTINE tra_ldf_iso |
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| 274 | |
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| 275 | #else |
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| 276 | !!---------------------------------------------------------------------- |
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| 277 | !! Dummy module : No rotation of the lateral mixing tensor |
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| 278 | !!---------------------------------------------------------------------- |
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| 279 | CONTAINS |
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| 280 | SUBROUTINE tra_ldf_iso( kt ) ! Empty routine |
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[32] | 281 | WRITE(*,*) 'tra_ldf_iso: You should not have seen this print! error?', kt |
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[3] | 282 | END SUBROUTINE tra_ldf_iso |
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| 283 | #endif |
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| 284 | |
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| 285 | !!============================================================================== |
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| 286 | END MODULE traldf_iso |
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