[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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[7646] | 19 | USE diaar5 ! AR5 diagnostics |
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[5883] | 20 | USE trc_oce ! share passive tracers/Ocean variables |
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| 21 | USE zpshde ! partial step: hor. derivative (zps_hde routine) |
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[5836] | 22 | ! |
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[5883] | 23 | USE in_out_manager ! I/O manager |
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[9019] | 24 | USE iom ! I/O library |
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[5883] | 25 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 26 | USE lib_mpp ! distribued memory computing library |
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| 27 | USE timing ! Timing |
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[3] | 28 | |
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| 29 | IMPLICIT NONE |
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| 30 | PRIVATE |
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| 31 | |
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[5883] | 32 | PUBLIC tra_ldf_lap ! called by traldf.F90 |
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| 33 | PUBLIC tra_ldf_blp ! called by traldf.F90 |
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[3] | 34 | |
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[7646] | 35 | LOGICAL :: l_ptr ! flag to compute poleward transport |
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| 36 | LOGICAL :: l_hst ! flag to compute heat transport |
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| 37 | |
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[3] | 38 | !! * Substitutions |
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| 39 | # include "vectopt_loop_substitute.h90" |
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| 40 | !!---------------------------------------------------------------------- |
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[9598] | 41 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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[2528] | 42 | !! $Id$ |
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[10068] | 43 | !! Software governed by the CeCILL license (see ./LICENSE) |
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[3] | 44 | !!---------------------------------------------------------------------- |
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| 45 | CONTAINS |
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| 46 | |
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[5836] | 47 | SUBROUTINE tra_ldf_lap( kt, kit000, cdtype, pahu, pahv, pgu , pgv , & |
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| 48 | & pgui, pgvi, & |
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| 49 | & ptb , pta , kjpt, kpass ) |
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[3] | 50 | !!---------------------------------------------------------------------- |
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| 51 | !! *** ROUTINE tra_ldf_lap *** |
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| 52 | !! |
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| 53 | !! ** Purpose : Compute the before horizontal tracer (t & s) diffusive |
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| 54 | !! trend and add it to the general trend of tracer equation. |
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| 55 | !! |
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| 56 | !! ** Method : Second order diffusive operator evaluated using before |
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| 57 | !! fields (forward time scheme). The horizontal diffusive trends of |
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[2528] | 58 | !! the tracer is given by: |
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[5836] | 59 | !! difft = 1/(e1e2t*e3t) { di-1[ pahu e2u*e3u/e1u di(tb) ] |
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| 60 | !! + dj-1[ pahv e1v*e3v/e2v dj(tb) ] } |
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[2528] | 61 | !! Add this trend to the general tracer trend pta : |
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| 62 | !! pta = pta + difft |
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[3] | 63 | !! |
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[2528] | 64 | !! ** Action : - Update pta arrays with the before iso-level |
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[3] | 65 | !! harmonic mixing trend. |
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[2528] | 66 | !!---------------------------------------------------------------------- |
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| 67 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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[5836] | 68 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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[2528] | 69 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 70 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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[5836] | 71 | INTEGER , INTENT(in ) :: kpass ! =1/2 first or second passage |
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| 72 | REAL(wp), DIMENSION(jpi,jpj,jpk) , INTENT(in ) :: pahu, pahv ! eddy diffusivity at u- and v-points [m2/s] |
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[2528] | 73 | REAL(wp), DIMENSION(jpi,jpj ,kjpt), INTENT(in ) :: pgu, pgv ! tracer gradient at pstep levels |
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[5836] | 74 | REAL(wp), DIMENSION(jpi,jpj, kjpt), INTENT(in ) :: pgui, pgvi ! tracer gradient at top levels |
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[2528] | 75 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb ! before and now tracer fields |
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| 76 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
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[2715] | 77 | ! |
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[5836] | 78 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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| 79 | REAL(wp) :: zsign ! local scalars |
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[9019] | 80 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: ztu, ztv, zaheeu, zaheev |
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[3] | 81 | !!---------------------------------------------------------------------- |
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[3294] | 82 | ! |
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[5836] | 83 | IF( kt == nit000 .AND. lwp ) THEN |
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| 84 | WRITE(numout,*) |
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| 85 | WRITE(numout,*) 'tra_ldf_lap : iso-level laplacian diffusion on ', cdtype, ', pass=', kpass |
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| 86 | WRITE(numout,*) '~~~~~~~~~~~ ' |
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[3] | 87 | ENDIF |
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[5836] | 88 | ! |
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[7646] | 89 | l_hst = .FALSE. |
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| 90 | l_ptr = .FALSE. |
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| 91 | IF( cdtype == 'TRA' .AND. ln_diaptr ) l_ptr = .TRUE. |
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| 92 | IF( cdtype == 'TRA' .AND. ( iom_use("uadv_heattr") .OR. iom_use("vadv_heattr") .OR. & |
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| 93 | & iom_use("uadv_salttr") .OR. iom_use("vadv_salttr") ) ) l_hst = .TRUE. |
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| 94 | ! |
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[5836] | 95 | ! !== Initialization of metric arrays used for all tracers ==! |
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| 96 | IF( kpass == 1 ) THEN ; zsign = 1._wp ! bilaplacian operator require a minus sign (eddy diffusivity >0) |
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| 97 | ELSE ; zsign = -1._wp |
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| 98 | ENDIF |
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| 99 | DO jk = 1, jpkm1 |
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| 100 | DO jj = 1, jpjm1 |
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| 101 | DO ji = 1, fs_jpim1 ! vector opt. |
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[5845] | 102 | 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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| 103 | 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] | 104 | END DO |
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| 105 | END DO |
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| 106 | END DO |
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| 107 | ! |
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| 108 | ! ! =========== ! |
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| 109 | DO jn = 1, kjpt ! tracer loop ! |
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| 110 | ! ! =========== ! |
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| 111 | ! |
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| 112 | DO jk = 1, jpkm1 !== First derivative (gradient) ==! |
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[457] | 113 | DO jj = 1, jpjm1 |
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[5836] | 114 | DO ji = 1, fs_jpim1 |
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| 115 | ztu(ji,jj,jk) = zaheeu(ji,jj,jk) * ( ptb(ji+1,jj ,jk,jn) - ptb(ji,jj,jk,jn) ) |
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| 116 | ztv(ji,jj,jk) = zaheev(ji,jj,jk) * ( ptb(ji ,jj+1,jk,jn) - ptb(ji,jj,jk,jn) ) |
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[457] | 117 | END DO |
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| 118 | END DO |
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[5836] | 119 | END DO |
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| 120 | IF( ln_zps ) THEN ! set gradient at bottom/top ocean level |
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| 121 | DO jj = 1, jpjm1 ! bottom |
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| 122 | DO ji = 1, fs_jpim1 |
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| 123 | ztu(ji,jj,mbku(ji,jj)) = zaheeu(ji,jj,mbku(ji,jj)) * pgu(ji,jj,jn) |
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| 124 | ztv(ji,jj,mbkv(ji,jj)) = zaheev(ji,jj,mbkv(ji,jj)) * pgv(ji,jj,jn) |
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[5120] | 125 | END DO |
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[5836] | 126 | END DO |
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| 127 | IF( ln_isfcav ) THEN ! top in ocean cavities only |
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[5120] | 128 | DO jj = 1, jpjm1 |
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| 129 | DO ji = 1, fs_jpim1 ! vector opt. |
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[5836] | 130 | 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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| 131 | 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] | 132 | END DO |
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| 133 | END DO |
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| 134 | ENDIF |
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[5836] | 135 | ENDIF |
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| 136 | ! |
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| 137 | DO jk = 1, jpkm1 !== Second derivative (divergence) added to the general tracer trends ==! |
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[2528] | 138 | DO jj = 2, jpjm1 |
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[5836] | 139 | DO ji = fs_2, fs_jpim1 |
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| 140 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ( ztu(ji,jj,jk) - ztu(ji-1,jj,jk) & |
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| 141 | & + ztv(ji,jj,jk) - ztv(ji,jj-1,jk) ) & |
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[5845] | 142 | & / ( e1e2t(ji,jj) * e3t_n(ji,jj,jk) ) |
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[3] | 143 | END DO |
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| 144 | END DO |
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[5836] | 145 | END DO |
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[2528] | 146 | ! |
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[5836] | 147 | ! !== "Poleward" diffusive heat or salt transports ==! |
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| 148 | IF( ( kpass == 1 .AND. .NOT.ln_traldf_blp ) .OR. & !== first pass only ( laplacian) ==! |
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| 149 | ( kpass == 2 .AND. ln_traldf_blp ) ) THEN !== 2nd pass only (bilaplacian) ==! |
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[7646] | 150 | |
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| 151 | IF( l_ptr ) CALL dia_ptr_hst( jn, 'ldf', -ztv(:,:,:) ) |
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| 152 | IF( l_hst ) CALL dia_ar5_hst( jn, 'ldf', -ztu(:,:,:), -ztv(:,:,:) ) |
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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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[3] | 158 | END SUBROUTINE tra_ldf_lap |
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[5836] | 159 | |
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[5883] | 160 | |
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| 161 | SUBROUTINE tra_ldf_blp( kt, kit000, cdtype, pahu, pahv, pgu , pgv , & |
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| 162 | & pgui, pgvi, & |
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| 163 | & ptb , pta , kjpt, kldf ) |
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| 164 | !!---------------------------------------------------------------------- |
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| 165 | !! *** ROUTINE tra_ldf_blp *** |
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| 166 | !! |
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| 167 | !! ** Purpose : Compute the before lateral tracer diffusive |
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| 168 | !! trend and add it to the general trend of tracer equation. |
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| 169 | !! |
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| 170 | !! ** Method : The lateral diffusive trends is provided by a bilaplacian |
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| 171 | !! operator applied to before field (forward in time). |
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| 172 | !! It is computed by two successive calls to laplacian routine |
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| 173 | !! |
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| 174 | !! ** Action : pta updated with the before rotated bilaplacian diffusion |
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| 175 | !!---------------------------------------------------------------------- |
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| 176 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 177 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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| 178 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 179 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 180 | INTEGER , INTENT(in ) :: kldf ! type of operator used |
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| 181 | REAL(wp), DIMENSION(jpi,jpj,jpk) , INTENT(in ) :: pahu, pahv ! eddy diffusivity at u- and v-points [m2/s] |
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| 182 | REAL(wp), DIMENSION(jpi,jpj ,kjpt), INTENT(in ) :: pgu, pgv ! tracer gradient at pstep levels |
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| 183 | REAL(wp), DIMENSION(jpi,jpj, kjpt), INTENT(in ) :: pgui, pgvi ! tracer gradient at top levels |
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| 184 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb ! before and now tracer fields |
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| 185 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
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| 186 | ! |
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| 187 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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[9019] | 188 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt) :: zlap ! laplacian at t-point |
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| 189 | REAL(wp), DIMENSION(jpi,jpj, kjpt) :: zglu, zglv ! bottom GRADh of the laplacian (u- and v-points) |
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| 190 | REAL(wp), DIMENSION(jpi,jpj, kjpt) :: zgui, zgvi ! top GRADh of the laplacian (u- and v-points) |
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[5883] | 191 | !!--------------------------------------------------------------------- |
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| 192 | ! |
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| 193 | IF( kt == kit000 .AND. lwp ) THEN |
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| 194 | WRITE(numout,*) |
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| 195 | SELECT CASE ( kldf ) |
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| 196 | CASE ( np_blp ) ; WRITE(numout,*) 'tra_ldf_blp : iso-level bilaplacian operator on ', cdtype |
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| 197 | CASE ( np_blp_i ) ; WRITE(numout,*) 'tra_ldf_blp : iso-neutral bilaplacian operator on ', cdtype, ' (Standard)' |
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| 198 | CASE ( np_blp_it ) ; WRITE(numout,*) 'tra_ldf_blp : iso-neutral bilaplacian operator on ', cdtype, ' (triad)' |
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| 199 | END SELECT |
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| 200 | WRITE(numout,*) '~~~~~~~~~~~' |
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| 201 | ENDIF |
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| 202 | |
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| 203 | zlap(:,:,:,:) = 0._wp |
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| 204 | ! |
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| 205 | SELECT CASE ( kldf ) !== 1st laplacian applied to ptb (output in zlap) ==! |
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| 206 | ! |
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| 207 | CASE ( np_blp ) ! iso-level bilaplacian |
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| 208 | CALL tra_ldf_lap ( kt, kit000, cdtype, pahu, pahv, pgu, pgv, pgui, pgvi, ptb, zlap, kjpt, 1 ) |
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| 209 | CASE ( np_blp_i ) ! rotated bilaplacian : standard operator (Madec) |
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| 210 | CALL tra_ldf_iso ( kt, kit000, cdtype, pahu, pahv, pgu, pgv, pgui, pgvi, ptb, ptb, zlap, kjpt, 1 ) |
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| 211 | CASE ( np_blp_it ) ! rotated bilaplacian : triad operator (griffies) |
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| 212 | CALL tra_ldf_triad( kt, kit000, cdtype, pahu, pahv, pgu, pgv, pgui, pgvi, ptb, ptb, zlap, kjpt, 1 ) |
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| 213 | END SELECT |
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| 214 | ! |
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[10425] | 215 | CALL lbc_lnk( 'traldf_lap_blp', zlap(:,:,:,:) , 'T', 1. ) ! Lateral boundary conditions (unchanged sign) |
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[5883] | 216 | ! ! Partial top/bottom cell: GRADh( zlap ) |
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| 217 | 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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| 218 | ELSEIF( ln_zps ) THEN ; CALL zps_hde ( kt, kjpt, zlap, zglu, zglv ) ! only bottom |
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| 219 | ENDIF |
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| 220 | ! |
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| 221 | SELECT CASE ( kldf ) !== 2nd laplacian applied to zlap (output in pta) ==! |
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| 222 | ! |
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| 223 | CASE ( np_blp ) ! iso-level bilaplacian |
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| 224 | CALL tra_ldf_lap ( kt, kit000, cdtype, pahu, pahv, zglu, zglv, zgui, zgvi, zlap, pta, kjpt, 2 ) |
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| 225 | CASE ( np_blp_i ) ! rotated bilaplacian : standard operator (Madec) |
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| 226 | CALL tra_ldf_iso ( kt, kit000, cdtype, pahu, pahv, zglu, zglv, zgui, zgvi, zlap, ptb, pta, kjpt, 2 ) |
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| 227 | CASE ( np_blp_it ) ! rotated bilaplacian : triad operator (griffies) |
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| 228 | CALL tra_ldf_triad( kt, kit000, cdtype, pahu, pahv, zglu, zglv, zgui, zgvi, zlap, ptb, pta, kjpt, 2 ) |
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| 229 | END SELECT |
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| 230 | ! |
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| 231 | END SUBROUTINE tra_ldf_blp |
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| 232 | |
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[3] | 233 | !!============================================================================== |
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[5883] | 234 | END MODULE traldf_lap_blp |
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