[5883] | 1 | MODULE traldf_lap_blp |
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[3] | 2 | !!============================================================================== |
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[5883] | 3 | !! *** MODULE traldf_lap_blp *** |
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[5836] | 4 | !! Ocean tracers: lateral diffusivity trend (laplacian and bilaplacian) |
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[3] | 5 | !!============================================================================== |
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[5883] | 6 | !! History : 3.7 ! 2014-01 (G. Madec, S. Masson) Original code, re-entrant laplacian |
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[2528] | 7 | !!---------------------------------------------------------------------- |
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[3] | 8 | |
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| 9 | !!---------------------------------------------------------------------- |
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[5883] | 10 | !! tra_ldf_lap : tracer trend update with iso-level laplacian diffusive operator |
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| 11 | !! tra_ldf_blp : tracer trend update with iso-level or iso-neutral bilaplacian operator |
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[3] | 12 | !!---------------------------------------------------------------------- |
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[5883] | 13 | USE oce ! ocean dynamics and active tracers |
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| 14 | USE dom_oce ! ocean space and time domain |
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| 15 | USE ldftra ! lateral physics: eddy diffusivity |
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| 16 | USE traldf_iso ! iso-neutral lateral diffusion (standard operator) (tra_ldf_iso routine) |
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| 17 | USE traldf_triad ! iso-neutral lateral diffusion (triad operator) (tra_ldf_triad routine) |
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| 18 | USE diaptr ! poleward transport diagnostics |
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| 19 | USE trc_oce ! share passive tracers/Ocean variables |
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| 20 | USE zpshde ! partial step: hor. derivative (zps_hde routine) |
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[5836] | 21 | ! |
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[5883] | 22 | USE in_out_manager ! I/O manager |
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| 23 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 24 | USE lib_mpp ! distribued memory computing library |
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| 25 | USE timing ! Timing |
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| 26 | USE wrk_nemo ! Memory allocation |
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[3] | 27 | |
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| 28 | IMPLICIT NONE |
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| 29 | PRIVATE |
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| 30 | |
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[5883] | 31 | PUBLIC tra_ldf_lap ! called by traldf.F90 |
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| 32 | PUBLIC tra_ldf_blp ! called by traldf.F90 |
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[3] | 33 | |
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[5883] | 34 | ! ! Flag to control the type of lateral diffusive operator |
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| 35 | INTEGER, PARAMETER, PUBLIC :: np_ERROR =-10 ! error in specification of lateral diffusion |
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| 36 | INTEGER, PARAMETER, PUBLIC :: np_no_ldf = 00 ! without operator (i.e. no lateral diffusive trend) |
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| 37 | ! !! laplacian ! bilaplacian ! |
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| 38 | INTEGER, PARAMETER, PUBLIC :: np_lap = 10 , np_blp = 20 ! iso-level operator |
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| 39 | INTEGER, PARAMETER, PUBLIC :: np_lap_i = 11 , np_blp_i = 21 ! standard iso-neutral or geopotential operator |
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| 40 | INTEGER, PARAMETER, PUBLIC :: np_lap_it = 12 , np_blp_it = 22 ! triad iso-neutral or geopotential operator |
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| 41 | |
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[3] | 42 | !! * Substitutions |
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| 43 | # include "vectopt_loop_substitute.h90" |
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| 44 | !!---------------------------------------------------------------------- |
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[5836] | 45 | !! NEMO/OPA 3.7 , NEMO Consortium (2014) |
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[2528] | 46 | !! $Id$ |
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| 47 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[3] | 48 | !!---------------------------------------------------------------------- |
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| 49 | CONTAINS |
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| 50 | |
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[5836] | 51 | SUBROUTINE tra_ldf_lap( kt, kit000, cdtype, pahu, pahv, pgu , pgv , & |
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| 52 | & pgui, pgvi, & |
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| 53 | & ptb , pta , kjpt, kpass ) |
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[3] | 54 | !!---------------------------------------------------------------------- |
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| 55 | !! *** ROUTINE tra_ldf_lap *** |
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| 56 | !! |
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| 57 | !! ** Purpose : Compute the before horizontal tracer (t & s) diffusive |
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| 58 | !! trend and add it to the general trend of tracer equation. |
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| 59 | !! |
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| 60 | !! ** Method : Second order diffusive operator evaluated using before |
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| 61 | !! fields (forward time scheme). The horizontal diffusive trends of |
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[2528] | 62 | !! the tracer is given by: |
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[5836] | 63 | !! difft = 1/(e1e2t*e3t) { di-1[ pahu e2u*e3u/e1u di(tb) ] |
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| 64 | !! + dj-1[ pahv e1v*e3v/e2v dj(tb) ] } |
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[2528] | 65 | !! Add this trend to the general tracer trend pta : |
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| 66 | !! pta = pta + difft |
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[3] | 67 | !! |
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[2528] | 68 | !! ** Action : - Update pta arrays with the before iso-level |
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[3] | 69 | !! harmonic mixing trend. |
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[2528] | 70 | !!---------------------------------------------------------------------- |
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| 71 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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[5836] | 72 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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[2528] | 73 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 74 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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[5836] | 75 | INTEGER , INTENT(in ) :: kpass ! =1/2 first or second passage |
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| 76 | REAL(wp), DIMENSION(jpi,jpj,jpk) , INTENT(in ) :: pahu, pahv ! eddy diffusivity at u- and v-points [m2/s] |
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[2528] | 77 | REAL(wp), DIMENSION(jpi,jpj ,kjpt), INTENT(in ) :: pgu, pgv ! tracer gradient at pstep levels |
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[5836] | 78 | REAL(wp), DIMENSION(jpi,jpj, kjpt), INTENT(in ) :: pgui, pgvi ! tracer gradient at top levels |
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[2528] | 79 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb ! before and now tracer fields |
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| 80 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
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[2715] | 81 | ! |
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[5836] | 82 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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| 83 | REAL(wp) :: zsign ! local scalars |
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| 84 | REAL(wp), POINTER, DIMENSION(:,:,:) :: ztu, ztv, zaheeu, zaheev |
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[3] | 85 | !!---------------------------------------------------------------------- |
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[3294] | 86 | ! |
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[5836] | 87 | IF( nn_timing == 1 ) CALL timing_start('tra_ldf_lap') |
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[3294] | 88 | ! |
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[5836] | 89 | IF( kt == nit000 .AND. lwp ) THEN |
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| 90 | WRITE(numout,*) |
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| 91 | WRITE(numout,*) 'tra_ldf_lap : iso-level laplacian diffusion on ', cdtype, ', pass=', kpass |
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| 92 | WRITE(numout,*) '~~~~~~~~~~~ ' |
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[3] | 93 | ENDIF |
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[5836] | 94 | ! |
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| 95 | CALL wrk_alloc( jpi,jpj,jpk, ztu, ztv, zaheeu, zaheev ) |
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| 96 | ! |
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| 97 | ! !== Initialization of metric arrays used for all tracers ==! |
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| 98 | IF( kpass == 1 ) THEN ; zsign = 1._wp ! bilaplacian operator require a minus sign (eddy diffusivity >0) |
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| 99 | ELSE ; zsign = -1._wp |
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| 100 | ENDIF |
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| 101 | DO jk = 1, jpkm1 |
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| 102 | DO jj = 1, jpjm1 |
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| 103 | DO ji = 1, fs_jpim1 ! vector opt. |
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[5845] | 104 | 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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| 105 | 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] | 106 | END DO |
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| 107 | END DO |
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| 108 | END DO |
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| 109 | ! |
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| 110 | ! ! =========== ! |
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| 111 | DO jn = 1, kjpt ! tracer loop ! |
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| 112 | ! ! =========== ! |
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| 113 | ! |
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| 114 | DO jk = 1, jpkm1 !== First derivative (gradient) ==! |
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[457] | 115 | DO jj = 1, jpjm1 |
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[5836] | 116 | DO ji = 1, fs_jpim1 |
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| 117 | ztu(ji,jj,jk) = zaheeu(ji,jj,jk) * ( ptb(ji+1,jj ,jk,jn) - ptb(ji,jj,jk,jn) ) |
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| 118 | ztv(ji,jj,jk) = zaheev(ji,jj,jk) * ( ptb(ji ,jj+1,jk,jn) - ptb(ji,jj,jk,jn) ) |
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[457] | 119 | END DO |
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| 120 | END DO |
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[5836] | 121 | END DO |
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| 122 | IF( ln_zps ) THEN ! set gradient at bottom/top ocean level |
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| 123 | DO jj = 1, jpjm1 ! bottom |
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| 124 | DO ji = 1, fs_jpim1 |
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| 125 | ztu(ji,jj,mbku(ji,jj)) = zaheeu(ji,jj,mbku(ji,jj)) * pgu(ji,jj,jn) |
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| 126 | ztv(ji,jj,mbkv(ji,jj)) = zaheev(ji,jj,mbkv(ji,jj)) * pgv(ji,jj,jn) |
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[5120] | 127 | END DO |
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[5836] | 128 | END DO |
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| 129 | IF( ln_isfcav ) THEN ! top in ocean cavities only |
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[5120] | 130 | DO jj = 1, jpjm1 |
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| 131 | DO ji = 1, fs_jpim1 ! vector opt. |
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[5836] | 132 | 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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| 133 | 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] | 134 | END DO |
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| 135 | END DO |
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| 136 | ENDIF |
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[5836] | 137 | ENDIF |
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| 138 | ! |
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| 139 | DO jk = 1, jpkm1 !== Second derivative (divergence) added to the general tracer trends ==! |
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[2528] | 140 | DO jj = 2, jpjm1 |
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[5836] | 141 | DO ji = fs_2, fs_jpim1 |
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| 142 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ( ztu(ji,jj,jk) - ztu(ji-1,jj,jk) & |
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| 143 | & + ztv(ji,jj,jk) - ztv(ji,jj-1,jk) ) & |
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[5845] | 144 | & / ( e1e2t(ji,jj) * e3t_n(ji,jj,jk) ) |
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[3] | 145 | END DO |
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| 146 | END DO |
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[5836] | 147 | END DO |
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[2528] | 148 | ! |
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[5836] | 149 | ! !== "Poleward" diffusive heat or salt transports ==! |
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| 150 | IF( ( kpass == 1 .AND. .NOT.ln_traldf_blp ) .OR. & !== first pass only ( laplacian) ==! |
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| 151 | ( kpass == 2 .AND. ln_traldf_blp ) ) THEN !== 2nd pass only (bilaplacian) ==! |
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| 152 | IF( cdtype == 'TRA' .AND. ln_diaptr ) THEN |
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| 153 | IF( jn == jp_tem) htr_ldf(:) = ptr_sj( -ztv(:,:,:) ) |
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| 154 | IF( jn == jp_sal) str_ldf(:) = ptr_sj( -ztv(:,:,:) ) |
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| 155 | ENDIF |
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[457] | 156 | ENDIF |
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[5836] | 157 | ! ! ================== |
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| 158 | END DO ! end of tracer loop |
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| 159 | ! ! ================== |
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[3294] | 160 | ! |
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[5836] | 161 | CALL wrk_dealloc( jpi,jpj,jpk, ztu, ztv, zaheeu, zaheev ) |
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| 162 | ! |
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| 163 | IF( nn_timing == 1 ) CALL timing_stop('tra_ldf_lap') |
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| 164 | ! |
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[3] | 165 | END SUBROUTINE tra_ldf_lap |
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[5836] | 166 | |
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[5883] | 167 | |
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| 168 | SUBROUTINE tra_ldf_blp( kt, kit000, cdtype, pahu, pahv, pgu , pgv , & |
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| 169 | & pgui, pgvi, & |
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| 170 | & ptb , pta , kjpt, kldf ) |
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| 171 | !!---------------------------------------------------------------------- |
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| 172 | !! *** ROUTINE tra_ldf_blp *** |
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| 173 | !! |
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| 174 | !! ** Purpose : Compute the before lateral tracer diffusive |
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| 175 | !! trend and add it to the general trend of tracer equation. |
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| 176 | !! |
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| 177 | !! ** Method : The lateral diffusive trends is provided by a bilaplacian |
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| 178 | !! operator applied to before field (forward in time). |
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| 179 | !! It is computed by two successive calls to laplacian routine |
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| 180 | !! |
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| 181 | !! ** Action : pta updated with the before rotated bilaplacian diffusion |
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| 182 | !!---------------------------------------------------------------------- |
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| 183 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 184 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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| 185 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 186 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 187 | INTEGER , INTENT(in ) :: kldf ! type of operator used |
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| 188 | REAL(wp), DIMENSION(jpi,jpj,jpk) , INTENT(in ) :: pahu, pahv ! eddy diffusivity at u- and v-points [m2/s] |
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| 189 | REAL(wp), DIMENSION(jpi,jpj ,kjpt), INTENT(in ) :: pgu, pgv ! tracer gradient at pstep levels |
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| 190 | REAL(wp), DIMENSION(jpi,jpj, kjpt), INTENT(in ) :: pgui, pgvi ! tracer gradient at top levels |
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| 191 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb ! before and now tracer fields |
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| 192 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
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| 193 | ! |
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| 194 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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| 195 | REAL(wp), POINTER, DIMENSION(:,:,:,:) :: zlap ! laplacian at t-point |
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| 196 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zglu, zglv ! bottom GRADh of the laplacian (u- and v-points) |
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| 197 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zgui, zgvi ! top GRADh of the laplacian (u- and v-points) |
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| 198 | !!--------------------------------------------------------------------- |
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| 199 | ! |
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| 200 | IF( nn_timing == 1 ) CALL timing_start('tra_ldf_blp') |
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| 201 | ! |
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| 202 | CALL wrk_alloc( jpi,jpj,jpk,kjpt, zlap ) |
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| 203 | CALL wrk_alloc( jpi,jpj, kjpt, zglu, zglv, zgui, zgvi ) |
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| 204 | ! |
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| 205 | IF( kt == kit000 .AND. lwp ) THEN |
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| 206 | WRITE(numout,*) |
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| 207 | SELECT CASE ( kldf ) |
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| 208 | CASE ( np_blp ) ; WRITE(numout,*) 'tra_ldf_blp : iso-level bilaplacian operator on ', cdtype |
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| 209 | CASE ( np_blp_i ) ; WRITE(numout,*) 'tra_ldf_blp : iso-neutral bilaplacian operator on ', cdtype, ' (Standard)' |
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| 210 | CASE ( np_blp_it ) ; WRITE(numout,*) 'tra_ldf_blp : iso-neutral bilaplacian operator on ', cdtype, ' (triad)' |
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| 211 | END SELECT |
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| 212 | WRITE(numout,*) '~~~~~~~~~~~' |
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| 213 | ENDIF |
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| 214 | |
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| 215 | zlap(:,:,:,:) = 0._wp |
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| 216 | ! |
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| 217 | SELECT CASE ( kldf ) !== 1st laplacian applied to ptb (output in zlap) ==! |
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| 218 | ! |
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| 219 | CASE ( np_blp ) ! iso-level bilaplacian |
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| 220 | CALL tra_ldf_lap ( kt, kit000, cdtype, pahu, pahv, pgu, pgv, pgui, pgvi, ptb, zlap, kjpt, 1 ) |
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| 221 | CASE ( np_blp_i ) ! rotated bilaplacian : standard operator (Madec) |
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| 222 | CALL tra_ldf_iso ( kt, kit000, cdtype, pahu, pahv, pgu, pgv, pgui, pgvi, ptb, ptb, zlap, kjpt, 1 ) |
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| 223 | CASE ( np_blp_it ) ! rotated bilaplacian : triad operator (griffies) |
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| 224 | CALL tra_ldf_triad( kt, kit000, cdtype, pahu, pahv, pgu, pgv, pgui, pgvi, ptb, ptb, zlap, kjpt, 1 ) |
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| 225 | END SELECT |
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| 226 | ! |
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| 227 | DO jn = 1, kjpt |
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| 228 | CALL lbc_lnk( zlap(:,:,:,jn) , 'T', 1. ) ! Lateral boundary conditions (unchanged sign) |
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| 229 | END DO |
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| 230 | ! ! Partial top/bottom cell: GRADh( zlap ) |
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| 231 | IF( ln_isfcav .AND. ln_zps ) THEN ; CALL zps_hde_isf( kt, kjpt, zlap, zglu, zglv, zgui, zgvi ) ! both top & bottom |
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| 232 | ELSEIF( ln_zps ) THEN ; CALL zps_hde ( kt, kjpt, zlap, zglu, zglv ) ! only bottom |
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| 233 | ENDIF |
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| 234 | ! |
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| 235 | SELECT CASE ( kldf ) !== 2nd laplacian applied to zlap (output in pta) ==! |
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| 236 | ! |
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| 237 | CASE ( np_blp ) ! iso-level bilaplacian |
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| 238 | CALL tra_ldf_lap ( kt, kit000, cdtype, pahu, pahv, zglu, zglv, zgui, zgvi, zlap, pta, kjpt, 2 ) |
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| 239 | CASE ( np_blp_i ) ! rotated bilaplacian : standard operator (Madec) |
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| 240 | CALL tra_ldf_iso ( kt, kit000, cdtype, pahu, pahv, zglu, zglv, zgui, zgvi, zlap, ptb, pta, kjpt, 2 ) |
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| 241 | CASE ( np_blp_it ) ! rotated bilaplacian : triad operator (griffies) |
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| 242 | CALL tra_ldf_triad( kt, kit000, cdtype, pahu, pahv, zglu, zglv, zgui, zgvi, zlap, ptb, pta, kjpt, 2 ) |
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| 243 | END SELECT |
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| 244 | ! |
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| 245 | CALL wrk_dealloc( jpi,jpj,jpk,kjpt, zlap ) |
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| 246 | CALL wrk_dealloc( jpi,jpj ,kjpt, zglu, zglv, zgui, zgvi ) |
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| 247 | ! |
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| 248 | IF( nn_timing == 1 ) CALL timing_stop('tra_ldf_blp') |
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| 249 | ! |
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| 250 | END SUBROUTINE tra_ldf_blp |
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| 251 | |
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[3] | 252 | !!============================================================================== |
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[5883] | 253 | END MODULE traldf_lap_blp |
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