[3] | 1 | MODULE traldf_bilap |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE traldf_bilap *** |
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[2024] | 4 | !! Ocean tracers: horizontal component of the lateral tracer mixing trend |
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[3] | 5 | !!============================================================================== |
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[2024] | 6 | !! History : ! 91-11 (G. Madec) Original code |
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| 7 | !! ! 93-03 (M. Guyon) symetrical conditions |
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| 8 | !! ! 95-11 (G. Madec) suppress volumetric scale factors |
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| 9 | !! ! 96-01 (G. Madec) statement function for e3 |
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| 10 | !! ! 96-01 (M. Imbard) mpp exchange |
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| 11 | !! ! 97-07 (G. Madec) optimization, and ahtt |
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| 12 | !! 8.5 ! 02-08 (G. Madec) F90: Free form and module |
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| 13 | !! 9.0 ! 04-08 (C. Talandier) New trends organization |
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| 14 | !! ! 05-11 (G. Madec) zps or sco as default option |
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| 15 | !! 3.3 ! 10-05 (C. Ethe, G. Madec) merge TRC-TRA |
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| 16 | !!============================================================================== |
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[3] | 17 | |
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| 18 | !!---------------------------------------------------------------------- |
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| 19 | !! tra_ldf_bilap : update the tracer trend with the horizontal diffusion |
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| 20 | !! using a iso-level biharmonic operator |
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| 21 | !!---------------------------------------------------------------------- |
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| 22 | !! * Modules used |
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| 23 | USE oce ! ocean dynamics and active tracers |
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| 24 | USE dom_oce ! ocean space and time domain |
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[74] | 25 | USE ldftra_oce ! ocean tracer lateral physics |
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[3] | 26 | USE in_out_manager ! I/O manager |
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| 27 | USE ldfslp ! iso-neutral slopes |
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| 28 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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[132] | 29 | USE diaptr ! poleward transport diagnostics |
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[3] | 30 | |
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| 31 | IMPLICIT NONE |
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| 32 | PRIVATE |
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| 33 | |
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| 34 | !! * Routine accessibility |
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| 35 | PUBLIC tra_ldf_bilap ! routine called by step.F90 |
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| 36 | |
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| 37 | !! * Substitutions |
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| 38 | # include "domzgr_substitute.h90" |
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| 39 | # include "ldftra_substitute.h90" |
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| 40 | # include "ldfeiv_substitute.h90" |
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| 41 | # include "vectopt_loop_substitute.h90" |
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| 42 | !!---------------------------------------------------------------------- |
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[2034] | 43 | !! NEMO/OPA 3.3 , LOCEAN-IPSL (2010) |
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[1152] | 44 | !! $Id$ |
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[247] | 45 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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[3] | 46 | !!---------------------------------------------------------------------- |
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| 47 | |
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| 48 | CONTAINS |
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[2024] | 49 | |
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[2034] | 50 | SUBROUTINE tra_ldf_bilap( kt, cdtype, pgu, pgv, & |
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| 51 | & ptb, pta, kjpt ) |
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[3] | 52 | !!---------------------------------------------------------------------- |
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| 53 | !! *** ROUTINE tra_ldf_bilap *** |
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| 54 | !! |
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[2024] | 55 | !! ** Purpose : Compute the before horizontal tracer diffusive |
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[3] | 56 | !! trend and add it to the general trend of tracer equation. |
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| 57 | !! |
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| 58 | !! ** Method : 4th order diffusive operator along model level surfaces |
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| 59 | !! evaluated using before fields (forward time scheme). The hor. |
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[2024] | 60 | !! diffusive trends is given by: |
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[3] | 61 | !! Laplacian of tb: |
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| 62 | !! zlt = 1/(e1t*e2t*e3t) { di-1[ e2u*e3u/e1u di(tb) ] |
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| 63 | !! + dj-1[ e1v*e3v/e2v dj(tb) ] } |
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| 64 | !! Multiply by the eddy diffusivity coef. and insure lateral bc: |
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| 65 | !! zlt = ahtt * zlt |
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| 66 | !! call to lbc_lnk |
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| 67 | !! Bilaplacian (laplacian of zlt): |
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| 68 | !! difft = 1/(e1t*e2t*e3t) { di-1[ e2u*e3u/e1u di(zlt) ] |
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| 69 | !! + dj-1[ e1v*e3v/e2v dj(zlt) ] } |
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| 70 | !! |
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[2024] | 71 | !! Add this trend to the general trend |
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[2034] | 72 | !! (pta) = (pta) + ( difft ) |
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[3] | 73 | !! |
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[2034] | 74 | !! ** Action : - Update pta arrays with the before iso-level |
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[3] | 75 | !! biharmonic mixing trend. |
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| 76 | !!---------------------------------------------------------------------- |
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[2034] | 77 | !! |
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[2024] | 78 | USE oce , ztu => ua ! use ua as workspace |
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| 79 | USE oce , ztv => va ! use va as workspace |
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[2034] | 80 | !! |
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[2024] | 81 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 82 | CHARACTER(len=3), INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 83 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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[2034] | 84 | REAL(wp) , INTENT(in ), DIMENSION(jpi,jpj,kjpt ) :: pgu, pgv ! tracer gradient at pstep levels |
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| 85 | REAL(wp) , INTENT(in ), DIMENSION(jpi,jpj,jpk,kjpt) :: ptb ! before and now tracer fields |
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| 86 | REAL(wp) , INTENT(inout), DIMENSION(jpi,jpj,jpk,kjpt) :: pta ! tracer trend |
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| 87 | !! |
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[2024] | 88 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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| 89 | INTEGER :: iku, ikv ! temporary integers |
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| 90 | REAL(wp) :: zbtr, ztra ! temporary scalars |
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[3] | 91 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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[2024] | 92 | zeeu, zeev, zlt ! 2D workspace |
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[3] | 93 | !!---------------------------------------------------------------------- |
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| 94 | |
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| 95 | IF( kt == nit000 ) THEN |
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| 96 | IF(lwp) WRITE(numout,*) |
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| 97 | IF(lwp) WRITE(numout,*) 'tra_ldf_bilap : iso-level biharmonic operator' |
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| 98 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~' |
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| 99 | ENDIF |
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[2024] | 100 | ! ! =========== |
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| 101 | DO jn = 1, kjpt ! tracer loop |
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| 102 | ! ! =========== |
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| 103 | ! |
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| 104 | DO jk = 1, jpkm1 |
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| 105 | ! |
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| 106 | |
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| 107 | ! 0. Initialization of metric arrays (for z- or s-coordinates) |
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| 108 | ! ---------------------------------- |
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[457] | 109 | DO jj = 1, jpjm1 |
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| 110 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 111 | zeeu(ji,jj) = e2u(ji,jj) * fse3u(ji,jj,jk) / e1u(ji,jj) * umask(ji,jj,jk) |
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| 112 | zeev(ji,jj) = e1v(ji,jj) * fse3v(ji,jj,jk) / e2v(ji,jj) * vmask(ji,jj,jk) |
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| 113 | END DO |
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| 114 | END DO |
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[3] | 115 | |
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| 116 | |
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[2024] | 117 | ! 1. Laplacian |
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| 118 | ! ------------ |
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| 119 | |
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| 120 | ! First derivative (gradient) |
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[457] | 121 | DO jj = 1, jpjm1 |
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[2024] | 122 | DO ji = 1, fs_jpim1 ! vector opt. |
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[2034] | 123 | ztu(ji,jj,jk) = zeeu(ji,jj) * ( ptb(ji+1,jj ,jk,jn) - ptb(ji,jj,jk,jn) ) |
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| 124 | ztv(ji,jj,jk) = zeev(ji,jj) * ( ptb(ji ,jj+1,jk,jn) - ptb(ji,jj,jk,jn) ) |
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[457] | 125 | END DO |
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[3] | 126 | END DO |
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[2024] | 127 | IF( ln_zps ) THEN ! set gradient at partial step level |
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| 128 | DO jj = 1, jpjm1 |
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| 129 | DO ji = 1, jpim1 |
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| 130 | ! last level |
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| 131 | iku = MIN ( mbathy(ji,jj), mbathy(ji+1,jj ) ) - 1 |
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| 132 | ikv = MIN ( mbathy(ji,jj), mbathy(ji ,jj+1) ) - 1 |
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[2034] | 133 | IF( iku == jk ) ztu(ji,jj,jk) = zeeu(ji,jj) * pgu(ji,jj,jn) |
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| 134 | IF( ikv == jk ) ztv(ji,jj,jk) = zeev(ji,jj) * pgv(ji,jj,jn) |
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[2024] | 135 | END DO |
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| 136 | END DO |
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| 137 | ENDIF |
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[3] | 138 | |
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[2024] | 139 | ! Second derivative (divergence) multiply by the eddy diffusivity coefficient |
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| 140 | DO jj = 2, jpjm1 |
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| 141 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 142 | zbtr = 1.0 / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 143 | zlt(ji,jj) = fsahtt(ji,jj,jk) & |
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| 144 | & * zbtr * ( ztu(ji,jj,jk) - ztu(ji-1,jj,jk) + ztv(ji,jj,jk) - ztv(ji,jj-1,jk) ) |
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| 145 | END DO |
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[3] | 146 | END DO |
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| 147 | |
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[2024] | 148 | ! Lateral boundary conditions on the laplacian (zlt) (unchanged sgn) |
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| 149 | CALL lbc_lnk( zlt, 'T', 1. ) |
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[3] | 150 | |
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[2024] | 151 | ! 2. Bilaplacian |
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| 152 | ! -------------- |
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| 153 | |
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| 154 | ! third derivative (gradient) |
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| 155 | DO jj = 1, jpjm1 |
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| 156 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 157 | ztu(ji,jj,jk) = zeeu(ji,jj) * ( zlt(ji+1,jj ) - zlt(ji,jj) ) |
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| 158 | ztv(ji,jj,jk) = zeev(ji,jj) * ( zlt(ji ,jj+1) - zlt(ji,jj) ) |
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| 159 | END DO |
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[3] | 160 | END DO |
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| 161 | |
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[2024] | 162 | ! fourth derivative (divergence) and add to the general tracer trend |
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| 163 | DO jj = 2, jpjm1 |
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| 164 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 165 | ! horizontal diffusive trends |
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| 166 | zbtr = 1.0 / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 167 | ztra = zbtr * ( ztu(ji,jj,jk) - ztu(ji-1,jj,jk) + ztv(ji,jj,jk) - ztv(ji,jj-1,jk) ) |
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| 168 | ! add it to the general tracer trends |
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[2034] | 169 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra |
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[132] | 170 | END DO |
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[3] | 171 | END DO |
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[2024] | 172 | ! ! =============== |
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| 173 | END DO ! Horizontal slab |
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| 174 | ! ! =============== |
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| 175 | ! "zonal" mean lateral diffusive heat and salt transport |
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| 176 | IF( cdtype == 'TRA' .AND. ln_diaptr .AND. ( MOD( kt, nf_ptr ) == 0 ) ) THEN |
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| 177 | IF( jn == jp_tem ) pht_ldf(:) = ptr_vj( ztv(:,:,:) ) |
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| 178 | IF( jn == jp_sal ) pst_ldf(:) = ptr_vj( ztv(:,:,:) ) |
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[457] | 179 | ENDIF |
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[2024] | 180 | ! |
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| 181 | END DO |
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[3] | 182 | |
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| 183 | END SUBROUTINE tra_ldf_bilap |
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| 184 | |
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| 185 | !!============================================================================== |
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| 186 | END MODULE traldf_bilap |
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