[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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[2104] | 6 | !! History : OPA ! 1991-11 (G. Madec) Original code |
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| 7 | !! ! 1993-03 (M. Guyon) symetrical conditions |
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| 8 | !! ! 1995-11 (G. Madec) suppress volumetric scale factors |
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| 9 | !! ! 1996-01 (G. Madec) statement function for e3 |
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| 10 | !! ! 1996-01 (M. Imbard) mpp exchange |
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| 11 | !! ! 1997-07 (G. Madec) optimization, and ahtt |
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| 12 | !! 8.5 ! 2002-08 (G. Madec) F90: Free form and module |
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| 13 | !! NEMO 1.0 ! 2004-08 (C. Talandier) New trends organization |
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| 14 | !! - ! 2005-11 (G. Madec) zps or sco as default option |
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| 15 | !! 3.3 ! 2010-05 (C. Ethe, G. Madec) merge TRC-TRA |
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[2024] | 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 | USE oce ! ocean dynamics and active tracers |
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| 23 | USE dom_oce ! ocean space and time domain |
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[74] | 24 | USE ldftra_oce ! ocean tracer lateral physics |
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[3] | 25 | USE in_out_manager ! I/O manager |
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| 26 | USE ldfslp ! iso-neutral slopes |
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| 27 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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[132] | 28 | USE diaptr ! poleward transport diagnostics |
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[2082] | 29 | USE trc_oce ! share passive tracers/Ocean variables |
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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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[2104] | 34 | PUBLIC tra_ldf_bilap ! routine called by step.F90 |
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[3] | 35 | |
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| 36 | !! * Substitutions |
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| 37 | # include "domzgr_substitute.h90" |
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| 38 | # include "ldftra_substitute.h90" |
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| 39 | # include "ldfeiv_substitute.h90" |
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| 40 | # include "vectopt_loop_substitute.h90" |
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| 41 | !!---------------------------------------------------------------------- |
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[2287] | 42 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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[2104] | 43 | !! $Id$ |
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[2287] | 44 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[3] | 45 | !!---------------------------------------------------------------------- |
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| 46 | |
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| 47 | CONTAINS |
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[2024] | 48 | |
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[2034] | 49 | SUBROUTINE tra_ldf_bilap( kt, cdtype, pgu, pgv, & |
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| 50 | & ptb, pta, kjpt ) |
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[3] | 51 | !!---------------------------------------------------------------------- |
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| 52 | !! *** ROUTINE tra_ldf_bilap *** |
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| 53 | !! |
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[2024] | 54 | !! ** Purpose : Compute the before horizontal tracer diffusive |
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[3] | 55 | !! trend and add it to the general trend of tracer equation. |
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| 56 | !! |
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| 57 | !! ** Method : 4th order diffusive operator along model level surfaces |
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| 58 | !! evaluated using before fields (forward time scheme). The hor. |
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[2024] | 59 | !! diffusive trends is given by: |
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[3] | 60 | !! Laplacian of tb: |
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| 61 | !! zlt = 1/(e1t*e2t*e3t) { di-1[ e2u*e3u/e1u di(tb) ] |
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| 62 | !! + dj-1[ e1v*e3v/e2v dj(tb) ] } |
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| 63 | !! Multiply by the eddy diffusivity coef. and insure lateral bc: |
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| 64 | !! zlt = ahtt * zlt |
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| 65 | !! call to lbc_lnk |
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| 66 | !! Bilaplacian (laplacian of zlt): |
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| 67 | !! difft = 1/(e1t*e2t*e3t) { di-1[ e2u*e3u/e1u di(zlt) ] |
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| 68 | !! + dj-1[ e1v*e3v/e2v dj(zlt) ] } |
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| 69 | !! |
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[2024] | 70 | !! Add this trend to the general trend |
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[2034] | 71 | !! (pta) = (pta) + ( difft ) |
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[3] | 72 | !! |
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[2034] | 73 | !! ** Action : - Update pta arrays with the before iso-level |
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[3] | 74 | !! biharmonic mixing trend. |
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| 75 | !!---------------------------------------------------------------------- |
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[2034] | 76 | !! |
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[2024] | 77 | USE oce , ztu => ua ! use ua as workspace |
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| 78 | USE oce , ztv => va ! use va as workspace |
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[2034] | 79 | !! |
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[2104] | 80 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 81 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 82 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 83 | REAL(wp), DIMENSION(jpi,jpj, kjpt), INTENT(in ) :: pgu, pgv ! tracer gradient at pstep levels |
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| 84 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb ! before and now tracer fields |
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| 85 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
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[2034] | 86 | !! |
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[2104] | 87 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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| 88 | INTEGER :: iku, ikv ! local integers |
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| 89 | REAL(wp) :: zbtr, ztra ! local scalars |
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| 90 | REAL(wp), DIMENSION(jpi,jpj) :: zeeu, zeev, zlt ! 2D workspace |
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[3] | 91 | !!---------------------------------------------------------------------- |
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| 92 | |
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[2104] | 93 | IF( kt == nit000 ) THEN |
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[3] | 94 | IF(lwp) WRITE(numout,*) |
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[2082] | 95 | IF(lwp) WRITE(numout,*) 'tra_ldf_bilap : iso-level biharmonic operator on ', cdtype |
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[3] | 96 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~' |
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| 97 | ENDIF |
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[2024] | 98 | ! ! =========== |
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| 99 | DO jn = 1, kjpt ! tracer loop |
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| 100 | ! ! =========== |
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| 101 | ! |
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[2104] | 102 | DO jk = 1, jpkm1 ! Horizontal slab |
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[2024] | 103 | ! |
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[2104] | 104 | ! !== Initialization of metric arrays (for z- or s-coordinates) ==! |
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[457] | 105 | DO jj = 1, jpjm1 |
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| 106 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 107 | zeeu(ji,jj) = e2u(ji,jj) * fse3u(ji,jj,jk) / e1u(ji,jj) * umask(ji,jj,jk) |
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| 108 | zeev(ji,jj) = e1v(ji,jj) * fse3v(ji,jj,jk) / e2v(ji,jj) * vmask(ji,jj,jk) |
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| 109 | END DO |
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| 110 | END DO |
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[3] | 111 | |
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[2104] | 112 | ! !== Laplacian ==! |
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| 113 | ! |
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| 114 | DO jj = 1, jpjm1 ! First derivative (gradient) |
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[2024] | 115 | DO ji = 1, fs_jpim1 ! vector opt. |
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[2034] | 116 | ztu(ji,jj,jk) = zeeu(ji,jj) * ( ptb(ji+1,jj ,jk,jn) - ptb(ji,jj,jk,jn) ) |
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| 117 | ztv(ji,jj,jk) = zeev(ji,jj) * ( ptb(ji ,jj+1,jk,jn) - ptb(ji,jj,jk,jn) ) |
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[457] | 118 | END DO |
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[3] | 119 | END DO |
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[2104] | 120 | IF( ln_zps ) THEN ! set gradient at partial step level |
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[2024] | 121 | DO jj = 1, jpjm1 |
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| 122 | DO ji = 1, jpim1 |
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| 123 | ! last level |
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| 124 | iku = MIN ( mbathy(ji,jj), mbathy(ji+1,jj ) ) - 1 |
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| 125 | ikv = MIN ( mbathy(ji,jj), mbathy(ji ,jj+1) ) - 1 |
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[2034] | 126 | IF( iku == jk ) ztu(ji,jj,jk) = zeeu(ji,jj) * pgu(ji,jj,jn) |
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| 127 | IF( ikv == jk ) ztv(ji,jj,jk) = zeev(ji,jj) * pgv(ji,jj,jn) |
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[2024] | 128 | END DO |
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| 129 | END DO |
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| 130 | ENDIF |
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[2104] | 131 | DO jj = 2, jpjm1 ! Second derivative (divergence) time the eddy diffusivity coefficient |
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[2024] | 132 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 133 | zbtr = 1.0 / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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[2104] | 134 | zlt(ji,jj) = fsahtt(ji,jj,jk) * zbtr * ( ztu(ji,jj,jk) - ztu(ji-1,jj,jk) & |
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| 135 | & + ztv(ji,jj,jk) - ztv(ji,jj-1,jk) ) |
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[2024] | 136 | END DO |
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[3] | 137 | END DO |
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[2104] | 138 | CALL lbc_lnk( zlt, 'T', 1. ) ! Lateral boundary conditions (unchanged sgn) |
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[3] | 139 | |
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[2104] | 140 | ! !== Bilaplacian ==! |
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| 141 | ! |
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| 142 | DO jj = 1, jpjm1 ! third derivative (gradient) |
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[2024] | 143 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 144 | ztu(ji,jj,jk) = zeeu(ji,jj) * ( zlt(ji+1,jj ) - zlt(ji,jj) ) |
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| 145 | ztv(ji,jj,jk) = zeev(ji,jj) * ( zlt(ji ,jj+1) - zlt(ji,jj) ) |
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| 146 | END DO |
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[3] | 147 | END DO |
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[2104] | 148 | DO jj = 2, jpjm1 ! fourth derivative (divergence) and add to the general tracer trend |
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[2024] | 149 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 150 | ! horizontal diffusive trends |
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| 151 | zbtr = 1.0 / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 152 | ztra = zbtr * ( ztu(ji,jj,jk) - ztu(ji-1,jj,jk) + ztv(ji,jj,jk) - ztv(ji,jj-1,jk) ) |
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| 153 | ! add it to the general tracer trends |
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[2034] | 154 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra |
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[132] | 155 | END DO |
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[3] | 156 | END DO |
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[2104] | 157 | ! |
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[2024] | 158 | END DO ! Horizontal slab |
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[2104] | 159 | ! |
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[2024] | 160 | ! "zonal" mean lateral diffusive heat and salt transport |
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| 161 | IF( cdtype == 'TRA' .AND. ln_diaptr .AND. ( MOD( kt, nf_ptr ) == 0 ) ) THEN |
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| 162 | IF( jn == jp_tem ) pht_ldf(:) = ptr_vj( ztv(:,:,:) ) |
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| 163 | IF( jn == jp_sal ) pst_ldf(:) = ptr_vj( ztv(:,:,:) ) |
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[457] | 164 | ENDIF |
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[2104] | 165 | ! ! =========== |
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| 166 | END DO ! tracer loop |
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| 167 | ! ! =========== |
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[3] | 168 | END SUBROUTINE tra_ldf_bilap |
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| 169 | |
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| 170 | !!============================================================================== |
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| 171 | END MODULE traldf_bilap |
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