[3] | 1 | MODULE traldf_lap |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE traldf_lap *** |
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[5836] | 4 | !! Ocean tracers: lateral diffusivity trend (laplacian and bilaplacian) |
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[3] | 5 | !!============================================================================== |
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[5836] | 6 | !! History : OPA ! 1987-06 (P. Andrich, D. L Hostis) Original code |
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| 7 | !! ! 1991-11 (G. Madec) |
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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 | !! NEMO ! 2002-06 (G. Madec) F90: Free form and module |
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| 11 | !! 1.0 ! 2004-08 (C. Talandier) New trends organization |
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| 12 | !! ! 2005-11 (G. Madec) add zps case |
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| 13 | !! 3.0 ! 2010-06 (C. Ethe, G. Madec) Merge TRA-TRC |
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| 14 | !! 3.7 ! 2014-01 (G. Madec, S. Masson) re-entrant laplacian |
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[2528] | 15 | !!---------------------------------------------------------------------- |
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[3] | 16 | |
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| 17 | !!---------------------------------------------------------------------- |
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[5836] | 18 | !! tra_ldf_lap : update the tracer trend with the lateral diffusion : iso-level laplacian operator |
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| 19 | !! tra_ldf_blp : update the tracer trend with the lateral diffusion : iso-level bilaplacian operator |
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[3] | 20 | !!---------------------------------------------------------------------- |
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| 21 | USE oce ! ocean dynamics and active tracers |
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| 22 | USE dom_oce ! ocean space and time domain |
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[5836] | 23 | USE ldftra ! lateral physics: eddy diffusivity |
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[132] | 24 | USE diaptr ! poleward transport diagnostics |
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[2528] | 25 | USE trc_oce ! share passive tracers/Ocean variables |
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[5836] | 26 | USE zpshde ! partial step: hor. derivative (zps_hde routine) |
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| 27 | ! |
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| 28 | USE in_out_manager ! I/O manager |
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| 29 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 30 | USE lib_mpp ! distribued memory computing library |
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[3294] | 31 | USE timing ! Timing |
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[5836] | 32 | USE wrk_nemo ! Memory allocation |
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[3] | 33 | |
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| 34 | IMPLICIT NONE |
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| 35 | PRIVATE |
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| 36 | |
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[5836] | 37 | PUBLIC tra_ldf_lap ! routine called by traldf.F90 |
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[3] | 38 | |
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| 39 | !! * Substitutions |
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| 40 | # include "vectopt_loop_substitute.h90" |
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| 41 | !!---------------------------------------------------------------------- |
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[5836] | 42 | !! NEMO/OPA 3.7 , NEMO Consortium (2014) |
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[2528] | 43 | !! $Id$ |
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| 44 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[3] | 45 | !!---------------------------------------------------------------------- |
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| 46 | CONTAINS |
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| 47 | |
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[5836] | 48 | SUBROUTINE tra_ldf_lap( kt, kit000, cdtype, pahu, pahv, pgu , pgv , & |
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| 49 | & pgui, pgvi, & |
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| 50 | & ptb , pta , kjpt, kpass ) |
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[3] | 51 | !!---------------------------------------------------------------------- |
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| 52 | !! *** ROUTINE tra_ldf_lap *** |
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| 53 | !! |
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| 54 | !! ** Purpose : Compute the before horizontal tracer (t & s) diffusive |
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| 55 | !! trend and add it to the general trend of tracer equation. |
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| 56 | !! |
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| 57 | !! ** Method : Second order diffusive operator evaluated using before |
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| 58 | !! fields (forward time scheme). The horizontal diffusive trends of |
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[2528] | 59 | !! the tracer is given by: |
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[5836] | 60 | !! difft = 1/(e1e2t*e3t) { di-1[ pahu e2u*e3u/e1u di(tb) ] |
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| 61 | !! + dj-1[ pahv e1v*e3v/e2v dj(tb) ] } |
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[2528] | 62 | !! Add this trend to the general tracer trend pta : |
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| 63 | !! pta = pta + difft |
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[3] | 64 | !! |
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[2528] | 65 | !! ** Action : - Update pta arrays with the before iso-level |
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[3] | 66 | !! harmonic mixing trend. |
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[2528] | 67 | !!---------------------------------------------------------------------- |
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| 68 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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[5836] | 69 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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[2528] | 70 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 71 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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[5836] | 72 | INTEGER , INTENT(in ) :: kpass ! =1/2 first or second passage |
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| 73 | REAL(wp), DIMENSION(jpi,jpj,jpk) , INTENT(in ) :: pahu, pahv ! eddy diffusivity at u- and v-points [m2/s] |
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[2528] | 74 | REAL(wp), DIMENSION(jpi,jpj ,kjpt), INTENT(in ) :: pgu, pgv ! tracer gradient at pstep levels |
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[5836] | 75 | REAL(wp), DIMENSION(jpi,jpj, kjpt), INTENT(in ) :: pgui, pgvi ! tracer gradient at top levels |
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[2528] | 76 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb ! before and now tracer fields |
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| 77 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
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[2715] | 78 | ! |
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[5836] | 79 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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| 80 | REAL(wp) :: zsign ! local scalars |
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| 81 | REAL(wp), POINTER, DIMENSION(:,:,:) :: ztu, ztv, zaheeu, zaheev |
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[3] | 82 | !!---------------------------------------------------------------------- |
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[3294] | 83 | ! |
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[5836] | 84 | IF( nn_timing == 1 ) CALL timing_start('tra_ldf_lap') |
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[3294] | 85 | ! |
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[5836] | 86 | IF( kt == nit000 .AND. lwp ) THEN |
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| 87 | WRITE(numout,*) |
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| 88 | WRITE(numout,*) 'tra_ldf_lap : iso-level laplacian diffusion on ', cdtype, ', pass=', kpass |
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| 89 | WRITE(numout,*) '~~~~~~~~~~~ ' |
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[3] | 90 | ENDIF |
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[5836] | 91 | ! |
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| 92 | CALL wrk_alloc( jpi,jpj,jpk, ztu, ztv, zaheeu, zaheev ) |
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| 93 | ! |
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| 94 | ! !== Initialization of metric arrays used for all tracers ==! |
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| 95 | IF( kpass == 1 ) THEN ; zsign = 1._wp ! bilaplacian operator require a minus sign (eddy diffusivity >0) |
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| 96 | ELSE ; zsign = -1._wp |
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| 97 | ENDIF |
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| 98 | DO jk = 1, jpkm1 |
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| 99 | DO jj = 1, jpjm1 |
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| 100 | DO ji = 1, fs_jpim1 ! vector opt. |
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[5845] | 101 | zaheeu(ji,jj,jk) = zsign * pahu(ji,jj,jk) * e2_e1u(ji,jj) * e3u_n(ji,jj,jk) !!gm * umask(ji,jj,jk) pah masked! |
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| 102 | zaheev(ji,jj,jk) = zsign * pahv(ji,jj,jk) * e1_e2v(ji,jj) * e3v_n(ji,jj,jk) !!gm * vmask(ji,jj,jk) |
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[5836] | 103 | END DO |
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| 104 | END DO |
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| 105 | END DO |
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| 106 | ! |
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| 107 | ! ! =========== ! |
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| 108 | DO jn = 1, kjpt ! tracer loop ! |
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| 109 | ! ! =========== ! |
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| 110 | ! |
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| 111 | DO jk = 1, jpkm1 !== First derivative (gradient) ==! |
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[457] | 112 | DO jj = 1, jpjm1 |
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[5836] | 113 | DO ji = 1, fs_jpim1 |
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| 114 | ztu(ji,jj,jk) = zaheeu(ji,jj,jk) * ( ptb(ji+1,jj ,jk,jn) - ptb(ji,jj,jk,jn) ) |
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| 115 | ztv(ji,jj,jk) = zaheev(ji,jj,jk) * ( ptb(ji ,jj+1,jk,jn) - ptb(ji,jj,jk,jn) ) |
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[457] | 116 | END DO |
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| 117 | END DO |
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[5836] | 118 | END DO |
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| 119 | IF( ln_zps ) THEN ! set gradient at bottom/top ocean level |
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| 120 | DO jj = 1, jpjm1 ! bottom |
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| 121 | DO ji = 1, fs_jpim1 |
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| 122 | ztu(ji,jj,mbku(ji,jj)) = zaheeu(ji,jj,mbku(ji,jj)) * pgu(ji,jj,jn) |
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| 123 | ztv(ji,jj,mbkv(ji,jj)) = zaheev(ji,jj,mbkv(ji,jj)) * pgv(ji,jj,jn) |
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[5120] | 124 | END DO |
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[5836] | 125 | END DO |
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| 126 | IF( ln_isfcav ) THEN ! top in ocean cavities only |
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[5120] | 127 | DO jj = 1, jpjm1 |
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| 128 | DO ji = 1, fs_jpim1 ! vector opt. |
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[5836] | 129 | IF( miku(ji,jj) > 1 ) ztu(ji,jj,miku(ji,jj)) = zaheeu(ji,jj,miku(ji,jj)) * pgui(ji,jj,jn) |
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| 130 | IF( mikv(ji,jj) > 1 ) ztv(ji,jj,mikv(ji,jj)) = zaheev(ji,jj,mikv(ji,jj)) * pgvi(ji,jj,jn) |
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[2528] | 131 | END DO |
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| 132 | END DO |
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| 133 | ENDIF |
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[5836] | 134 | ENDIF |
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| 135 | ! |
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| 136 | DO jk = 1, jpkm1 !== Second derivative (divergence) added to the general tracer trends ==! |
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[2528] | 137 | DO jj = 2, jpjm1 |
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[5836] | 138 | DO ji = fs_2, fs_jpim1 |
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| 139 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ( ztu(ji,jj,jk) - ztu(ji-1,jj,jk) & |
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| 140 | & + ztv(ji,jj,jk) - ztv(ji,jj-1,jk) ) & |
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[5845] | 141 | & / ( e1e2t(ji,jj) * e3t_n(ji,jj,jk) ) |
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[3] | 142 | END DO |
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| 143 | END DO |
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[5836] | 144 | END DO |
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[2528] | 145 | ! |
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[5836] | 146 | ! !== "Poleward" diffusive heat or salt transports ==! |
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| 147 | IF( ( kpass == 1 .AND. .NOT.ln_traldf_blp ) .OR. & !== first pass only ( laplacian) ==! |
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| 148 | ( kpass == 2 .AND. ln_traldf_blp ) ) THEN !== 2nd pass only (bilaplacian) ==! |
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| 149 | IF( cdtype == 'TRA' .AND. ln_diaptr ) THEN |
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| 150 | IF( jn == jp_tem) htr_ldf(:) = ptr_sj( -ztv(:,:,:) ) |
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| 151 | IF( jn == jp_sal) str_ldf(:) = ptr_sj( -ztv(:,:,:) ) |
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| 152 | ENDIF |
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[457] | 153 | ENDIF |
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[5836] | 154 | ! ! ================== |
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| 155 | END DO ! end of tracer loop |
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| 156 | ! ! ================== |
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[3294] | 157 | ! |
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[5836] | 158 | CALL wrk_dealloc( jpi,jpj,jpk, ztu, ztv, zaheeu, zaheev ) |
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| 159 | ! |
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| 160 | IF( nn_timing == 1 ) CALL timing_stop('tra_ldf_lap') |
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| 161 | ! |
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[3] | 162 | END SUBROUTINE tra_ldf_lap |
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[5836] | 163 | |
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[3] | 164 | !!============================================================================== |
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| 165 | END MODULE traldf_lap |
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