[186] | 1 | MODULE trcldf_iso |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE trcldf_iso *** |
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| 4 | !! Ocean passive tracers: horizontal component of the lateral tracer mixing trend |
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| 5 | !!============================================================================== |
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| 6 | #if key_passivetrc && defined key_ldfslp |
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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 | !! trc_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_trc ! ocean dynamics and tracers variables |
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[202] | 16 | USE trc ! ocean passive tracers variables |
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[334] | 17 | USE prtctl_trc ! Print control for debbuging |
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[186] | 18 | |
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| 19 | IMPLICIT NONE |
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| 20 | PRIVATE |
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| 21 | |
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| 22 | !! * Routine accessibility |
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| 23 | PUBLIC trc_ldf_iso ! routine called by step.F90 |
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| 24 | |
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| 25 | !! * Substitutions |
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| 26 | # include "passivetrc_substitute.h90" |
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| 27 | !!---------------------------------------------------------------------- |
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[349] | 28 | !! TOP 1.0 , LOCEAN-IPSL (2005) |
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[342] | 29 | !! $Header$ |
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| 30 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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| 31 | !!---------------------------------------------------------------------- |
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[261] | 32 | |
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[186] | 33 | CONTAINS |
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| 34 | |
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| 35 | SUBROUTINE trc_ldf_iso( kt ) |
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| 36 | !!---------------------------------------------------------------------- |
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| 37 | !! *** ROUTINE trc_ldf_iso *** |
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| 38 | !! |
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| 39 | !! ** Purpose : Compute the before horizontal tracer diffusive |
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| 40 | !! trend and add it to the general trend of tracer equation. |
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| 41 | !! |
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| 42 | !! ** Method : The horizontal component of the lateral diffusive trends |
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| 43 | !! is provided by a 2nd order operator rotated along neural or geopo- |
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| 44 | !! tential surfaces to which an eddy induced advection can be added |
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| 45 | !! It is computed using before fields (forward in time) and isopyc- |
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| 46 | !! nal or geopotential slopes computed in routine ldfslp. |
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| 47 | !! |
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| 48 | !! horizontal fluxes associated with the rotated lateral mixing: |
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| 49 | !! zftu = (aht+ahtb0) e2u*e3u/e1u di[ tb ] |
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| 50 | !! - aht e2u*uslp dk[ mi(mk(tb)) ] |
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| 51 | !! zftv = (aht+ahtb0) e1v*e3v/e2v dj[ tb ] |
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| 52 | !! - aht e2u*vslp dk[ mj(mk(tb)) ] |
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| 53 | !! add horizontal Eddy Induced advective fluxes (lk_traldf_eiv=T): |
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| 54 | !! zftu = zftu - dk-1[ aht e2u mi(wslpi) ] mi( tb ) |
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| 55 | !! zftv = zftv - dk-1[ aht e1v mj(wslpj) ] mj( tb ) |
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| 56 | !! take the horizontal divergence of the fluxes: |
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| 57 | !! difft = 1/(e1t*e2t*e3t) { di-1[ zftu ] + dj-1[ zftv ] } |
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| 58 | !! Add this trend to the general trend tra : |
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| 59 | !! tra = tra + difft |
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| 60 | !! |
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| 61 | !! ** Action : - Update tra arrays with the before isopycnal or |
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| 62 | !! geopotential s-coord harmonic mixing trend. |
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| 63 | !! - Save the trends in trtrd ('key_trc_diatrd') |
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| 64 | !! |
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| 65 | !! History : |
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| 66 | !! ! 94-08 (G. Madec, M. Imbard) |
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| 67 | !! ! 97-05 (G. Madec) split into traldf and trazdf |
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| 68 | !! ! 98-03 (L. Bopp, MA Foujols) passive tracer generalisation |
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| 69 | !! ! 00-10 (MA Foujols E Kestenare) USE passive tracer coefficient |
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| 70 | !! 8.5 ! 02-08 (G. Madec) Free form, F90 |
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| 71 | !! 9.0 ! 04-03 (C. Ethe) Free form, F90 |
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| 72 | !!---------------------------------------------------------------------- |
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| 73 | !! * Modules used |
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| 74 | USE oce_trc , zftu => ua, & ! use ua as workspace |
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| 75 | & zfsu => va ! use va as workspace |
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| 76 | |
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| 77 | !! * Arguments |
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| 78 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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| 79 | |
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| 80 | !! * Local declarations |
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| 81 | INTEGER :: ji, jj, jk,jn ! dummy loop indices |
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| 82 | REAL(wp) :: & |
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| 83 | zabe1, zabe2, zcof1, zcof2, & ! temporary scalars |
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| 84 | zmsku, zmskv, zbtr, & |
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| 85 | #if defined key_trcldf_eiv |
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| 86 | zcg1, zcg2, zuwk, zvwk, & |
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| 87 | zuwk1, zvwk1, & |
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| 88 | #endif |
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| 89 | ztra |
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| 90 | |
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| 91 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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| 92 | zdkt, zdk1t ! workspace |
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| 93 | |
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| 94 | #if defined key_trcldf_eiv |
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| 95 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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| 96 | zftug, zftvg |
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| 97 | #endif |
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| 98 | |
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| 99 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
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| 100 | zftv ! workspace |
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[334] | 101 | CHARACTER (len=22) :: charout |
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[186] | 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 : iso neutral lateral diffusion or' |
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| 107 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ horizontal laplacian diffusion in s-coordinate' |
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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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| 114 | |
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| 115 | DO jn = 1, jptra |
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| 116 | |
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| 117 | ! ! =============== |
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| 118 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 119 | ! ! =============== |
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| 120 | ! 1. Vertical tracer gradient at level jk and jk+1 |
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| 121 | ! ------------------------------------------------ |
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| 122 | ! surface boundary condition: zdkt(jk=1)=zdkt(jk=2) |
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| 123 | |
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| 124 | zdk1t(:,:) = ( trb(:,:,jk,jn) - trb(:,:,jk+1,jn) ) * tmask(:,:,jk+1) |
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| 125 | |
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| 126 | IF( jk == 1 ) THEN |
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| 127 | zdkt(:,:) = zdk1t(:,:) |
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| 128 | ELSE |
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| 129 | zdkt(:,:) = ( trb(:,:,jk-1,jn) - trb(:,:,jk,jn) ) * tmask(:,:,jk) |
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| 130 | ENDIF |
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| 131 | |
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| 132 | |
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| 133 | ! 2. Horizontal fluxes |
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| 134 | ! -------------------- |
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| 135 | |
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| 136 | DO jj = 1 , jpjm1 |
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| 137 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 138 | zabe1 = ( fsahtru(ji,jj,jk) + ahtrb0 ) * e2u(ji,jj) * fse3u(ji,jj,jk) / e1u(ji,jj) |
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| 139 | zabe2 = ( fsahtrv(ji,jj,jk) + ahtrb0 ) * e1v(ji,jj) * fse3v(ji,jj,jk) / e2v(ji,jj) |
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| 140 | |
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| 141 | zmsku = 1. / MAX( tmask(ji+1,jj,jk ) + tmask(ji,jj,jk+1) & |
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| 142 | + tmask(ji+1,jj,jk+1) + tmask(ji,jj,jk ), 1. ) |
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| 143 | |
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| 144 | zmskv = 1. / MAX( tmask(ji,jj+1,jk ) + tmask(ji,jj,jk+1) & |
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| 145 | + tmask(ji,jj+1,jk+1) + tmask(ji,jj,jk ), 1. ) |
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| 146 | |
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| 147 | zcof1 = -fsahtru(ji,jj,jk) * e2u(ji,jj) * uslp(ji,jj,jk) * zmsku |
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| 148 | zcof2 = -fsahtrv(ji,jj,jk) * e1v(ji,jj) * vslp(ji,jj,jk) * zmskv |
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| 149 | |
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| 150 | zftu(ji,jj,jk) = umask(ji,jj,jk) * ( zabe1 * ( trb(ji+1,jj,jk,jn) - trb(ji,jj,jk,jn) ) & |
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| 151 | & + zcof1 * ( zdkt (ji+1,jj) + zdk1t(ji,jj) & |
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| 152 | & + zdk1t(ji+1,jj) + zdkt (ji,jj) ) ) |
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| 153 | |
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| 154 | zftv(ji,jj,jk) = vmask(ji,jj,jk) * ( zabe2 * ( trb(ji,jj+1,jk,jn) - trb(ji,jj,jk,jn) ) & |
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| 155 | & + zcof2 * ( zdkt (ji,jj+1) + zdk1t(ji,jj) & |
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| 156 | & + zdk1t(ji,jj+1) + zdkt (ji,jj) ) ) |
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| 157 | |
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| 158 | END DO |
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| 159 | END DO |
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| 160 | |
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| 161 | # if defined key_trcldf_eiv |
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| 162 | ! ! ---------------------------------------! |
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| 163 | ! ! Eddy induced vertical advective fluxes ! |
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| 164 | ! ! ---------------------------------------! |
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| 165 | DO jj = 1, jpjm1 |
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| 166 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 167 | zuwk = ( wslpi(ji,jj,jk ) + wslpi(ji+1,jj,jk ) ) * fsaeitru(ji,jj,jk ) * umask(ji,jj,jk ) |
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| 168 | 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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| 169 | zvwk = ( wslpj(ji,jj,jk ) + wslpj(ji,jj+1,jk ) ) * fsaeitrv(ji,jj,jk ) * vmask(ji,jj,jk ) |
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| 170 | 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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| 171 | |
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| 172 | zcg1= -0.25 * e2u(ji,jj) * umask(ji,jj,jk) * ( zuwk-zuwk1 ) |
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| 173 | zcg2= -0.25 * e1v(ji,jj) * vmask(ji,jj,jk) * ( zvwk-zvwk1 ) |
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| 174 | |
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| 175 | zftug(ji,jj) = zcg1 * ( trb(ji+1,jj,jk,jn) + trb(ji,jj,jk,jn) ) |
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| 176 | zftvg(ji,jj) = zcg2 * ( trb(ji,jj+1,jk,jn) + trb(ji,jj,jk,jn) ) |
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| 177 | |
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| 178 | zftu(ji,jj,jk) = zftu(ji,jj,jk) + zftug(ji,jj) |
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| 179 | zftv(ji,jj,jk) = zftv(ji,jj,jk) + zftvg(ji,jj) |
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| 180 | |
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| 181 | # if defined key_diaeiv |
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| 182 | u_trc_eiv(ji,jj,jk) = -2. * zcg1 / ( e2u(ji,jj) * fse3u(ji,jj,jk) ) |
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| 183 | v_trc_eiv(ji,jj,jk) = -2. * zcg2 / ( e1v(ji,jj) * fse3v(ji,jj,jk) ) |
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| 184 | # endif |
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| 185 | END DO |
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| 186 | END DO |
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| 187 | # endif |
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| 188 | |
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| 189 | ! II.4 Second derivative (divergence) and add to the general trend |
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| 190 | ! ---------------------------------------------------------------- |
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| 191 | |
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| 192 | DO jj = 2 , jpjm1 |
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| 193 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 194 | zbtr= 1. / ( e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk) ) |
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| 195 | ztra = zbtr * ( zftu(ji,jj,jk) - zftu(ji-1,jj ,jk) & |
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| 196 | & + zftv(ji,jj,jk) - zftv(ji ,jj-1,jk) ) |
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| 197 | tra (ji,jj,jk,jn) = tra (ji,jj,jk,jn) + ztra |
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| 198 | #if defined key_trc_diatrd |
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[433] | 199 | IF (luttrd(jn)) trtrd (ji,jj,jk,ikeep(jn),4) = ( zftu(ji,jj,jk) - zftu(ji-1,jj,jk ) ) * zbtr |
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| 200 | IF (luttrd(jn)) trtrd (ji,jj,jk,ikeep(jn),5) = ( zftv(ji,jj,jk) - zftv(ji,jj-1,jk ) ) * zbtr |
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[186] | 201 | #endif |
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| 202 | END DO |
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| 203 | END DO |
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| 204 | ! ! =============== |
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| 205 | END DO ! End of slab |
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| 206 | ! ! =============== |
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| 207 | |
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| 208 | END DO |
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| 209 | |
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[334] | 210 | IF(ln_ctl) THEN ! print mean trends (used for debugging) |
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| 211 | WRITE(charout, FMT="('ldf - iso')") |
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| 212 | CALL prt_ctl_trc_info(charout) |
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| 213 | CALL prt_ctl_trc(tab4d=tra, mask=tmask, clinfo=ctrcnm,clinfo2='trd') |
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| 214 | ENDIF |
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| 215 | |
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[186] | 216 | END SUBROUTINE trc_ldf_iso |
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| 217 | |
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| 218 | #else |
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| 219 | !!---------------------------------------------------------------------- |
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| 220 | !! Dummy module : No rotation of the lateral mixing tensor |
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| 221 | !!---------------------------------------------------------------------- |
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| 222 | CONTAINS |
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| 223 | SUBROUTINE trc_ldf_iso( kt ) ! Empty routine |
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| 224 | INTEGER, INTENT(in) :: kt |
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| 225 | WRITE(*,*) 'trc_ldf_iso: You should not have seen this print! error?', kt |
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| 226 | END SUBROUTINE trc_ldf_iso |
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| 227 | #endif |
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| 228 | |
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| 229 | !!============================================================================== |
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| 230 | END MODULE trcldf_iso |
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