| 1 | MODULE traldf_iso_tile |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE traldf_iso *** |
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| 4 | !! Ocean tracers: horizontal component of the lateral tracer mixing trend |
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| 5 | !!====================================================================== |
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| 6 | !! History : OPA ! 1994-08 (G. Madec, M. Imbard) |
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| 7 | !! 8.0 ! 1997-05 (G. Madec) split into traldf and trazdf |
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| 8 | !! NEMO ! 2002-08 (G. Madec) Free form, F90 |
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| 9 | !! 1.0 ! 2005-11 (G. Madec) merge traldf and trazdf :-) |
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| 10 | !! 3.3 ! 2010-09 (C. Ethe, G. Madec) Merge TRA-TRC |
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| 11 | !! 3.7 ! 2014-01 (G. Madec, S. Masson) restructuration/simplification of aht/aeiv specification |
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| 12 | !! - ! 2014-02 (F. Lemarie, G. Madec) triad operator (Griffies) + Method of Stabilizing Correction |
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| 13 | !!---------------------------------------------------------------------- |
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| 14 | |
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| 15 | !!---------------------------------------------------------------------- |
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| 16 | !! tra_ldf_iso_tile : update the tracer trend with the horizontal component of a iso-neutral laplacian operator |
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| 17 | !! and with the vertical part of the isopycnal or geopotential s-coord. operator |
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| 18 | !!---------------------------------------------------------------------- |
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| 19 | USE par_kind |
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| 20 | USE len_oce ! ocean dynamics and active tracers |
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| 21 | USE tiletype |
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| 22 | ! |
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| 23 | USE in_out_manager ! I/O manager |
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| 24 | |
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| 25 | IMPLICIT NONE |
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| 26 | |
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| 27 | PUBLIC tra_ldf_iso_tile ! routine called by step.F90 |
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| 28 | |
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| 29 | !! * Substitutions |
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| 30 | # include "vectopt_loop_substitute.h90" |
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| 31 | !!---------------------------------------------------------------------- |
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| 32 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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| 33 | !! $Id$ |
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| 34 | !! Software governed by the CeCILL licence (./LICENSE) |
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| 35 | !!---------------------------------------------------------------------- |
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| 36 | CONTAINS |
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| 37 | |
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| 38 | SUBROUTINE tra_ldf_iso_tile( tile, ln_traldf_msc, ln_traldf_blp, ln_traldf_lap, ln_zps, ln_isfcav, kjpt, kpass, p2dt, & |
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| 39 | & e1t, e1u, e1v, e2t, e2u, e2v, e1e2t, e1_e2v, e2_e1u, r1_e1e2t, mbku, mbkv, miku, mikv, & |
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| 40 | & umask, vmask, wmask, e3t_n, e3u_n, e3v_n, e3w_n, wslpi, wslpj, uslp, vslp, & |
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| 41 | & pahu, pahv, pgu, pgv, pgui, pgvi, ptb , ptbb, pta, & |
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| 42 | & l_hst, l_ptr, pakz, pah_wslp2, pftu, pftv ) |
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| 43 | |
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| 44 | !!---------------------------------------------------------------------- |
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| 45 | !! *** ROUTINE tra_ldf_iso_tile *** |
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| 46 | !! |
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| 47 | !! ** Purpose : Compute the before horizontal tracer (t & s) diffusive |
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| 48 | !! trend for a laplacian tensor (ezxcept the dz[ dz[.] ] term) and |
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| 49 | !! add it to the general trend of tracer equation. |
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| 50 | !! |
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| 51 | !! ** Method : The horizontal component of the lateral diffusive trends |
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| 52 | !! is provided by a 2nd order operator rotated along neural or geopo- |
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| 53 | !! tential surfaces to which an eddy induced advection can be added |
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| 54 | !! It is computed using before fields (forward in time) and isopyc- |
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| 55 | !! nal or geopotential slopes computed in routine ldfslp. |
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| 56 | !! |
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| 57 | !! 1st part : masked horizontal derivative of T ( di[ t ] ) |
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| 58 | !! ======== with partial cell update if ln_zps=T |
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| 59 | !! with top cell update if ln_isfcav |
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| 60 | !! |
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| 61 | !! 2nd part : horizontal fluxes of the lateral mixing operator |
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| 62 | !! ======== |
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| 63 | !! zftu = pahu e2u*e3u/e1u di[ tb ] |
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| 64 | !! - pahu e2u*uslp dk[ mi(mk(tb)) ] |
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| 65 | !! zftv = pahv e1v*e3v/e2v dj[ tb ] |
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| 66 | !! - pahv e2u*vslp dk[ mj(mk(tb)) ] |
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| 67 | !! take the horizontal divergence of the fluxes: |
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| 68 | !! difft = 1/(e1e2t*e3t) { di-1[ zftu ] + dj-1[ zftv ] } |
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| 69 | !! Add this trend to the general trend (ta,sa): |
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| 70 | !! ta = ta + difft |
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| 71 | !! |
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| 72 | !! 3rd part: vertical trends of the lateral mixing operator |
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| 73 | !! ======== (excluding the vertical flux proportional to dk[t] ) |
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| 74 | !! vertical fluxes associated with the rotated lateral mixing: |
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| 75 | !! zftw = - { mi(mk(pahu)) * e2t*wslpi di[ mi(mk(tb)) ] |
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| 76 | !! + mj(mk(pahv)) * e1t*wslpj dj[ mj(mk(tb)) ] } |
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| 77 | !! take the horizontal divergence of the fluxes: |
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| 78 | !! difft = 1/(e1e2t*e3t) dk[ zftw ] |
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| 79 | !! Add this trend to the general trend (ta,sa): |
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| 80 | !! pta = pta + difft |
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| 81 | !! |
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| 82 | !! ** Action : Update pta arrays with the before rotated diffusion |
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| 83 | !!---------------------------------------------------------------------- |
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| 84 | TYPE(tile_type) , INTENT(in ) :: tile |
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| 85 | LOGICAL , INTENT(in ) :: ln_traldf_msc, ln_traldf_blp, ln_traldf_lap, ln_zps, ln_isfcav |
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| 86 | INTEGER , INTENT(in ) :: kjpt ! number of tracers passed in |
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| 87 | INTEGER , INTENT(in ) :: kpass ! =1/2 first or second passage |
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| 88 | REAL(wp) , INTENT(in ) :: p2dt ! 2 . dt |
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| 89 | REAL(wp), DIMENSION(jpi,jpj) , INTENT(in ) :: e1t, e1u, e1v, e2t, e2u, e2v, e1e2t, e1_e2v, e2_e1u, r1_e1e2t |
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| 90 | INTEGER, DIMENSION(jpi,jpj) , INTENT(in ) :: mbku, mbkv, miku, mikv |
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| 91 | REAL(wp), DIMENSION(jpi,jpj,jpk) , INTENT(in ) :: umask, vmask, wmask |
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| 92 | REAL(wp), DIMENSION(jpi,jpj,jpk) , INTENT(in ) :: e3t_n, e3u_n, e3v_n, e3w_n, wslpi, wslpj, uslp, vslp |
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| 93 | |
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| 94 | REAL(wp), DIMENSION(jpi,jpj,jpk) , INTENT(in ) :: pahu, pahv ! eddy diffusivity at u- and v-points [m2/s] |
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| 95 | REAL(wp), DIMENSION(jpi,jpj ,kjpt), INTENT(in ) :: pgu, pgv ! tracer gradient at pstep levels |
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| 96 | REAL(wp), DIMENSION(jpi,jpj, kjpt), INTENT(in ) :: pgui, pgvi ! tracer gradient at top levels |
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| 97 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb ! tracer (kpass=1) or laplacian of tracer (kpass=2) |
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| 98 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptbb ! tracer (only used in kpass=2) |
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| 99 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
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| 100 | |
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| 101 | LOGICAL , INTENT(in ) :: l_ptr ! flag to compute poleward transport |
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| 102 | LOGICAL , INTENT(in ) :: l_hst ! flag to compute heat transport |
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| 103 | REAL(wp), DIMENSION(jpi,jpj,jpk) , INTENT(inout) :: pakz, pah_wslp2 ! |
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| 104 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pftu, pftv ! diagnostic outputs |
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| 105 | |
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| 106 | ! |
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| 107 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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| 108 | INTEGER :: ikt |
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| 109 | INTEGER :: ierr ! local integer |
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| 110 | REAL(wp) :: zmsku, zahu_w, zabe1, zcof1, zcoef3 ! local scalars |
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| 111 | REAL(wp) :: zmskv, zahv_w, zabe2, zcof2, zcoef4 ! - - |
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| 112 | REAL(wp) :: zcoef0, ze3w_2, zsign, z2dt, z1_2dt ! - - |
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| 113 | |
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| 114 | REAL(wp) ,ALLOCATABLE, DIMENSION(:,:) :: zdkt, zdk1t, z2d ! Make these use global scratch at some point |
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| 115 | REAL(wp) ,ALLOCATABLE, DIMENSION(:,:,:) :: zdit, zdjt, zftu, zftv, ztfw, zakz, zah_wslp2 |
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| 116 | |
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| 117 | ALLOCATE(zdkt (tile%jsih:tile%jeih, tile%jsjh:tile%jejh)) |
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| 118 | ALLOCATE(zdk1t(tile%jsih:tile%jeih, tile%jsjh:tile%jejh)) |
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| 119 | ALLOCATE(z2d (tile%jsih:tile%jeih, tile%jsjh:tile%jejh)) |
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| 120 | |
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| 121 | ALLOCATE(zdit( tile%jsih:tile%jeih, tile%jsjh:tile%jejh,tile%jskh:tile%jekh)) |
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| 122 | ALLOCATE(zdjt( tile%jsih:tile%jeih, tile%jsjh:tile%jejh,tile%jskh:tile%jekh)) |
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| 123 | ALLOCATE(zftu( tile%jsih:tile%jeih, tile%jsjh:tile%jejh,tile%jskh:tile%jekh)) |
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| 124 | ALLOCATE(zftv( tile%jsih:tile%jeih, tile%jsjh:tile%jejh,tile%jskh:tile%jekh)) |
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| 125 | ALLOCATE(ztfw( tile%jsih:tile%jeih, tile%jsjh:tile%jejh,tile%jskh:tile%jekh)) |
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| 126 | ALLOCATE(zakz( tile%jsih:tile%jeih, tile%jsjh:tile%jejh,tile%jskh:tile%jekh)) |
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| 127 | ALLOCATE(zah_wslp2(tile%jsih:tile%jeih, tile%jsjh:tile%jejh,tile%jskh:tile%jekh)) |
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| 128 | |
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| 129 | write(0,*)"tile%jsih",tile%jsih |
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| 130 | write(0,*)"tile%jeih",tile%jeih |
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| 131 | write(0,*)"tile%jsjh",tile%jsjh |
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| 132 | write(0,*)"tile%jejh",tile%jejh |
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| 133 | write(0,*)"tile%jskh",tile%jskh |
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| 134 | write(0,*)"tile%jekh",tile%jekh |
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| 135 | |
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| 136 | !!---------------------------------------------------------------------- |
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| 137 | ! |
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| 138 | ! |
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| 139 | ! |
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| 140 | ! ! set time step size (Euler/Leapfrog) |
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| 141 | z1_2dt = 1._wp / p2dt ! note this was dependent on kt and neuler before |
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| 142 | ! |
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| 143 | IF( kpass == 1 ) THEN ; zsign = 1._wp ! bilaplacian operator require a minus sign (eddy diffusivity >0) |
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| 144 | ELSE ; zsign = -1._wp |
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| 145 | ENDIF |
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| 146 | |
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| 147 | !!---------------------------------------------------------------------- |
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| 148 | !! 0 - calculate ah_wslp2 and akz |
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| 149 | !!---------------------------------------------------------------------- |
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| 150 | ! |
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| 151 | IF( kpass == 1 ) THEN !== first pass only ==! |
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| 152 | ! |
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| 153 | DO jk = tile % jsk_2, tile % jekp1 |
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| 154 | DO jj = tile % jsj, tile % jej |
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| 155 | DO ji = tile % jsi, tile % jei ! vector opt. |
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| 156 | |
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| 157 | ! |
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| 158 | zmsku = wmask(ji,jj,jk) / MAX( umask(ji ,jj,jk-1) + umask(ji-1,jj,jk) & |
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| 159 | & + umask(ji-1,jj,jk-1) + umask(ji ,jj,jk) , 1._wp ) |
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| 160 | zmskv = wmask(ji,jj,jk) / MAX( vmask(ji,jj ,jk-1) + vmask(ji,jj-1,jk) & |
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| 161 | & + vmask(ji,jj-1,jk-1) + vmask(ji,jj ,jk) , 1._wp ) |
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| 162 | ! |
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| 163 | zahu_w = ( pahu(ji ,jj,jk-1) + pahu(ji-1,jj,jk) & |
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| 164 | & + pahu(ji-1,jj,jk-1) + pahu(ji ,jj,jk) ) * zmsku |
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| 165 | zahv_w = ( pahv(ji,jj ,jk-1) + pahv(ji,jj-1,jk) & |
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| 166 | & + pahv(ji,jj-1,jk-1) + pahv(ji,jj ,jk) ) * zmskv |
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| 167 | ! |
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| 168 | zah_wslp2(ji,jj,jk) = zahu_w * wslpi(ji,jj,jk) * wslpi(ji,jj,jk) & |
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| 169 | & + zahv_w * wslpj(ji,jj,jk) * wslpj(ji,jj,jk) |
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| 170 | END DO |
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| 171 | END DO |
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| 172 | END DO |
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| 173 | ! |
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| 174 | IF( ln_traldf_msc ) THEN ! stabilizing vertical diffusivity coefficient |
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| 175 | DO jk = tile % jsk_2, tile % jekp1 |
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| 176 | DO jj = tile % jsj, tile % jej |
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| 177 | DO ji = tile % jsi, tile % jei |
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| 178 | zakz(ji,jj,jk) = 0.25_wp * ( & |
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| 179 | & ( pahu(ji ,jj,jk) + pahu(ji ,jj,jk-1) ) / ( e1u(ji ,jj) * e1u(ji ,jj) ) & |
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| 180 | & + ( pahu(ji-1,jj,jk) + pahu(ji-1,jj,jk-1) ) / ( e1u(ji-1,jj) * e1u(ji-1,jj) ) & |
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| 181 | & + ( pahv(ji,jj ,jk) + pahv(ji,jj ,jk-1) ) / ( e2v(ji,jj ) * e2v(ji,jj ) ) & |
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| 182 | & + ( pahv(ji,jj-1,jk) + pahv(ji,jj-1,jk-1) ) / ( e2v(ji,jj-1) * e2v(ji,jj-1) ) ) |
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| 183 | END DO |
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| 184 | END DO |
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| 185 | END DO |
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| 186 | ! |
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| 187 | IF( ln_traldf_blp ) THEN ! bilaplacian operator |
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| 188 | DO jk = tile % jsk_2, tile % jekp1 |
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| 189 | DO jj = tile % jsj, tile % jej |
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| 190 | DO ji = tile % jsi, tile % jei |
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| 191 | zakz(ji,jj,jk) = 16._wp * zah_wslp2(ji,jj,jk) & |
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| 192 | & * ( zakz(ji,jj,jk) + zah_wslp2(ji,jj,jk) / ( e3w_n(ji,jj,jk) * e3w_n(ji,jj,jk) ) ) |
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| 193 | END DO |
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| 194 | END DO |
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| 195 | END DO |
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| 196 | ELSEIF( ln_traldf_lap ) THEN ! laplacian operator |
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| 197 | DO jk = tile % jsk_2, tile % jekp1 |
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| 198 | DO jj = tile % jsj, tile % jej |
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| 199 | DO ji = tile % jsi, tile % jei |
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| 200 | ze3w_2 = e3w_n(ji,jj,jk) * e3w_n(ji,jj,jk) |
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| 201 | zcoef0 = p2dt * ( zakz(ji,jj,jk) + zah_wslp2(ji,jj,jk) / ze3w_2 ) |
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| 202 | zakz(ji,jj,jk) = MAX( zcoef0 - 0.5_wp , 0._wp ) * ze3w_2 * z1_2dt |
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| 203 | END DO |
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| 204 | END DO |
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| 205 | END DO |
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| 206 | ENDIF |
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| 207 | ! |
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| 208 | ELSE ! 33 flux set to zero with zakz=zah_wslp2 ==>> computed in full implicit |
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| 209 | DO jk = tile % jsk_2, tile % jekp1 |
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| 210 | DO jj = tile % jsj, tile % jej |
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| 211 | DO ji = tile % jsi, tile % jei |
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| 212 | zakz(ji,jj,jk) = zah_wslp2(ji,jj,jk) |
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| 213 | END DO |
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| 214 | END DO |
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| 215 | END DO |
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| 216 | ENDIF |
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| 217 | ENDIF |
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| 218 | |
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| 219 | ! Save zakz and zah_wslp2 (private arrays) in non-overlapping elements of akz and ah_wslp2 arrays (for re-use in trazdf) |
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| 220 | DO jk = tile % jsk, tile % jek |
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| 221 | DO jj = tile % jsj, tile % jej |
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| 222 | DO ji = tile % jsi, tile % jei |
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| 223 | pakz(ji,jj,jk) = zakz(ji,jj,jk) ; pah_wslp2(ji,jj,jk) = zah_wslp2(ji,jj,jk) |
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| 224 | END DO |
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| 225 | END DO |
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| 226 | END DO |
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| 227 | |
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| 228 | ! |
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| 229 | ! ! =========== |
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| 230 | DO jn = 1, kjpt ! tracer loop |
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| 231 | ! ! =========== |
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| 232 | ! |
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| 233 | !!---------------------------------------------------------------------- |
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| 234 | !! I - masked horizontal derivative |
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| 235 | !!---------------------------------------------------------------------- |
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| 236 | |
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| 237 | ! Horizontal tracer gradient |
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| 238 | DO jk = tile % jskm1, tile % jekp1 |
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| 239 | DO jj = tile % jsjm1, tile % jej |
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| 240 | DO ji = tile % jsim1, tile % jei ! vector opt. |
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| 241 | zdit(ji,jj,jk) = ( ptb(ji+1,jj ,jk,jn) - ptb(ji,jj,jk,jn) ) * umask(ji,jj,jk) |
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| 242 | zdjt(ji,jj,jk) = ( ptb(ji ,jj+1,jk,jn) - ptb(ji,jj,jk,jn) ) * vmask(ji,jj,jk) |
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| 243 | END DO |
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| 244 | END DO |
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| 245 | END DO |
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| 246 | IF( ln_zps ) THEN ! botton and surface ocean correction of the horizontal gradient |
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| 247 | DO jj = tile % jsjm1, tile % jej ! bottom correction (partial bottom cell) |
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| 248 | DO ji = tile % jsim1, tile % jei ! vector opt. |
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| 249 | IF( tile % jskm1 <= mbku(ji,jj) .AND. mbku(ji,jj) <= tile % jekp1 ) zdit(ji,jj,mbku(ji,jj)) = pgu(ji,jj,jn) |
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| 250 | IF( tile % jskm1 <= mbkv(ji,jj) .AND. mbkv(ji,jj) <= tile % jekp1 ) zdjt(ji,jj,mbkv(ji,jj)) = pgv(ji,jj,jn) |
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| 251 | END DO |
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| 252 | END DO |
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| 253 | IF( ln_isfcav ) THEN ! first wet level beneath a cavity |
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| 254 | DO jj = tile % jsjm1, tile % jej |
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| 255 | DO ji = tile % jsim1, tile % jei ! vector opt. |
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| 256 | IF( tile % jskm1 <= miku(ji,jj) .AND. miku(ji,jj) <= tile % jekp1 ) zdit(ji,jj,miku(ji,jj)) = pgui(ji,jj,jn) |
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| 257 | IF( tile % jskm1 <= mikv(ji,jj) .AND. mikv(ji,jj) <= tile % jekp1 ) zdjt(ji,jj,mikv(ji,jj)) = pgvi(ji,jj,jn) |
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| 258 | END DO |
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| 259 | END DO |
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| 260 | ENDIF |
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| 261 | ENDIF |
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| 262 | ! |
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| 263 | !!---------------------------------------------------------------------- |
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| 264 | !! II - horizontal trend (full) |
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| 265 | !!---------------------------------------------------------------------- |
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| 266 | ! |
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| 267 | DO jk = tile % jsk, tile % jek ! Horizontal slab |
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| 268 | ! |
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| 269 | ! !== Vertical tracer gradient (loops expanded for low-level tiling) |
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| 270 | DO jj = tile % jsjm1, tile % jejp1 |
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| 271 | DO ji = tile % jsim1, tile % jeip1 |
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| 272 | zdk1t(ji,jj) = ( ptb(ji,jj,jk,jn) - ptb(ji,jj,jk+1,jn) ) * wmask(ji,jj,jk+1) ! level jk+1 |
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| 273 | END DO |
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| 274 | END DO |
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| 275 | ! |
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| 276 | IF( jk == 1 ) THEN |
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| 277 | DO jj = tile % jsjm1, tile % jejp1 |
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| 278 | DO ji = tile % jsim1, tile % jeip1 |
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| 279 | zdkt(ji,jj) = zdk1t(ji,jj) ! surface: zdkt(jk=1)=zdkt(jk=2) |
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| 280 | END DO |
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| 281 | END DO |
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| 282 | ELSE |
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| 283 | DO jj = tile % jsjm1, tile % jejp1 |
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| 284 | DO ji = tile % jsim1, tile % jeip1 |
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| 285 | zdkt(ji,jj) = ( ptb(ji,jj,jk-1,jn) - ptb(ji,jj,jk,jn) ) * wmask(ji,jj,jk) |
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| 286 | END DO |
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| 287 | END DO |
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| 288 | ENDIF |
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| 289 | DO jj = tile % jsjm1, tile % jej !== Horizontal fluxes |
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| 290 | DO ji = tile % jsim1, tile % jei ! vector opt. |
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| 291 | zabe1 = pahu(ji,jj,jk) * e2_e1u(ji,jj) * e3u_n(ji,jj,jk) |
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| 292 | zabe2 = pahv(ji,jj,jk) * e1_e2v(ji,jj) * e3v_n(ji,jj,jk) |
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| 293 | ! |
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| 294 | zmsku = 1._wp / MAX( wmask(ji+1,jj,jk ) + wmask(ji,jj,jk+1) & |
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| 295 | & + wmask(ji+1,jj,jk+1) + wmask(ji,jj,jk ), 1._wp ) |
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| 296 | ! |
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| 297 | zmskv = 1._wp / MAX( wmask(ji,jj+1,jk ) + wmask(ji,jj,jk+1) & |
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| 298 | & + wmask(ji,jj+1,jk+1) + wmask(ji,jj,jk ), 1._wp ) |
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| 299 | ! |
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| 300 | zcof1 = - pahu(ji,jj,jk) * e2u(ji,jj) * uslp(ji,jj,jk) * zmsku |
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| 301 | zcof2 = - pahv(ji,jj,jk) * e1v(ji,jj) * vslp(ji,jj,jk) * zmskv |
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| 302 | ! |
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| 303 | zftu(ji,jj,jk) = ( zabe1 * zdit(ji,jj,jk) & |
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| 304 | & + zcof1 * ( zdkt (ji+1,jj) + zdk1t(ji,jj) & |
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| 305 | & + zdk1t(ji+1,jj) + zdkt (ji,jj) ) ) * umask(ji,jj,jk) |
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| 306 | zftv(ji,jj,jk) = ( zabe2 * zdjt(ji,jj,jk) & |
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| 307 | & + zcof2 * ( zdkt (ji,jj+1) + zdk1t(ji,jj) & |
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| 308 | & + zdk1t(ji,jj+1) + zdkt (ji,jj) ) ) * vmask(ji,jj,jk) |
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| 309 | END DO |
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| 310 | END DO |
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| 311 | ! |
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| 312 | DO jj = tile % jsj , tile % jej !== horizontal divergence and add to pta |
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| 313 | DO ji = tile % jsi, tile % jei ! vector opt. |
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| 314 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + zsign * ( zftu(ji,jj,jk) - zftu(ji-1,jj,jk) & |
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| 315 | & + zftv(ji,jj,jk) - zftv(ji,jj-1,jk) ) & |
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| 316 | & * r1_e1e2t(ji,jj) / e3t_n(ji,jj,jk) |
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| 317 | END DO |
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| 318 | END DO |
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| 319 | END DO ! End of slab |
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| 320 | |
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| 321 | !!---------------------------------------------------------------------- |
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| 322 | !! III - vertical trend (full) |
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| 323 | !!---------------------------------------------------------------------- |
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| 324 | ! |
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| 325 | ! Vertical fluxes |
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| 326 | ! --------------- |
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| 327 | ! ! Surface and bottom vertical fluxes set to zero |
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| 328 | IF ( tile % jsk == 1 ) THEN |
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| 329 | DO jj = tile % jsj, tile % jej |
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| 330 | DO ji = tile % jsi, tile % jei ! vector opt. |
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| 331 | ztfw(ji,jj,1) = 0._wp |
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| 332 | END DO |
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| 333 | END DO |
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| 334 | END IF |
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| 335 | IF ( tile % jek == jpkm1 ) THEN |
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| 336 | DO jj = tile % jsj, tile % jej |
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| 337 | DO ji = tile % jsi, tile % jei ! vector opt. |
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| 338 | ztfw(ji,jj,jpk) = 0._wp |
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| 339 | END DO |
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| 340 | END DO |
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| 341 | END IF |
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| 342 | |
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| 343 | DO jk = tile % jsk_2, tile % jekp1 ! interior (2=<jk=<jpk-1) |
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| 344 | DO jj = tile % jsj, tile % jej |
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| 345 | DO ji = tile % jsi, tile % jei ! vector opt. |
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| 346 | ! |
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| 347 | zmsku = wmask(ji,jj,jk) / MAX( umask(ji ,jj,jk-1) + umask(ji-1,jj,jk) & |
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| 348 | & + umask(ji-1,jj,jk-1) + umask(ji ,jj,jk) , 1._wp ) |
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| 349 | zmskv = wmask(ji,jj,jk) / MAX( vmask(ji,jj ,jk-1) + vmask(ji,jj-1,jk) & |
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| 350 | & + vmask(ji,jj-1,jk-1) + vmask(ji,jj ,jk) , 1._wp ) |
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| 351 | ! |
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| 352 | zahu_w = ( pahu(ji ,jj,jk-1) + pahu(ji-1,jj,jk) & |
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| 353 | & + pahu(ji-1,jj,jk-1) + pahu(ji ,jj,jk) ) * zmsku |
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| 354 | zahv_w = ( pahv(ji,jj ,jk-1) + pahv(ji,jj-1,jk) & |
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| 355 | & + pahv(ji,jj-1,jk-1) + pahv(ji,jj ,jk) ) * zmskv |
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| 356 | ! |
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| 357 | zcoef3 = - zahu_w * e2t(ji,jj) * zmsku * wslpi (ji,jj,jk) !wslpi & j are already w-masked |
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| 358 | zcoef4 = - zahv_w * e1t(ji,jj) * zmskv * wslpj (ji,jj,jk) |
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| 359 | ! |
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| 360 | ztfw(ji,jj,jk) = zcoef3 * ( zdit(ji ,jj ,jk-1) + zdit(ji-1,jj ,jk) & |
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| 361 | & + zdit(ji-1,jj ,jk-1) + zdit(ji ,jj ,jk) ) & |
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| 362 | & + zcoef4 * ( zdjt(ji ,jj ,jk-1) + zdjt(ji ,jj-1,jk) & |
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| 363 | & + zdjt(ji ,jj-1,jk-1) + zdjt(ji ,jj ,jk) ) |
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| 364 | END DO |
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| 365 | END DO |
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| 366 | END DO |
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| 367 | |
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| 368 | ! !== add the vertical 33 flux ==! |
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| 369 | IF( ln_traldf_lap ) THEN ! laplacian case: eddy coef = zah_wslp2 - zakz |
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| 370 | DO jk = tile % jsk_2, tile % jekp1 |
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| 371 | DO jj = tile % jsj, tile % jej |
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| 372 | DO ji = tile % jsi, tile % jei |
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| 373 | ztfw(ji,jj,jk) = ztfw(ji,jj,jk) + e1e2t(ji,jj) / e3w_n(ji,jj,jk) * wmask(ji,jj,jk) & |
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| 374 | & * ( zah_wslp2(ji,jj,jk) - zakz(ji,jj,jk) ) & |
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| 375 | & * ( ptb(ji,jj,jk-1,jn) - ptb(ji,jj,jk,jn) ) |
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| 376 | END DO |
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| 377 | END DO |
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| 378 | END DO |
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| 379 | ! |
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| 380 | ELSE ! bilaplacian |
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| 381 | SELECT CASE( kpass ) |
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| 382 | CASE( 1 ) ! 1st pass : eddy coef = zah_wslp2 |
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| 383 | DO jk = tile % jsk_2, tile % jekp1 |
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| 384 | DO jj = tile % jsj, tile % jej |
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| 385 | DO ji = tile % jsi, tile % jei |
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| 386 | ztfw(ji,jj,jk) = ztfw(ji,jj,jk) & |
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| 387 | & + zah_wslp2(ji,jj,jk) * e1e2t(ji,jj) & |
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| 388 | & * ( ptb(ji,jj,jk-1,jn) - ptb(ji,jj,jk,jn) ) / e3w_n(ji,jj,jk) * wmask(ji,jj,jk) |
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| 389 | END DO |
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| 390 | END DO |
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| 391 | END DO |
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| 392 | CASE( 2 ) ! 2nd pass : eddy flux = zah_wslp2 and akz applied on ptb and ptbb gradients, resp. |
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| 393 | DO jk = tile % jsk_2, tile % jekp1 |
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| 394 | DO jj = tile % jsj, tile % jej |
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| 395 | DO ji = tile % jsi, tile % jei |
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| 396 | ztfw(ji,jj,jk) = ztfw(ji,jj,jk) + e1e2t(ji,jj) / e3w_n(ji,jj,jk) * wmask(ji,jj,jk) & |
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| 397 | & * ( zah_wslp2(ji,jj,jk) * ( ptb (ji,jj,jk-1,jn) - ptb (ji,jj,jk,jn) ) & |
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| 398 | & + zakz(ji,jj,jk) * ( ptbb(ji,jj,jk-1,jn) - ptbb(ji,jj,jk,jn) ) ) |
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| 399 | END DO |
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| 400 | END DO |
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| 401 | END DO |
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| 402 | END SELECT |
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| 403 | ENDIF |
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| 404 | ! |
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| 405 | DO jk = tile % jsk, tile % jek !== Divergence of vertical fluxes added to pta ==! |
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| 406 | DO jj = tile % jsj, tile % jej |
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| 407 | DO ji = tile % jsi, tile % jei ! vector opt. |
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| 408 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + zsign * ( ztfw (ji,jj,jk) - ztfw(ji,jj,jk+1) ) & |
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| 409 | & * r1_e1e2t(ji,jj) / e3t_n(ji,jj,jk) |
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| 410 | END DO |
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| 411 | END DO |
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| 412 | END DO |
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| 413 | ! |
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| 414 | IF ( l_ptr .OR. l_hst ) THEN |
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| 415 | DO jk = tile % jsk, tile % jek |
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| 416 | DO jj = tile % jsj, tile % jej |
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| 417 | DO ji = tile % jsi, tile % jei ! vector opt. |
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| 418 | pftu(ji,jj,jk,jn) = zftu(ji,jj,jk) ; pftv(ji,jj,jk,jn) = zftv(ji,jj,jk) |
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| 419 | END DO |
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| 420 | END DO |
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| 421 | END DO |
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| 422 | END IF |
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| 423 | |
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| 424 | ! ! =============== |
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| 425 | END DO ! end tracer loop |
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| 426 | ! |
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| 427 | END SUBROUTINE tra_ldf_iso_tile |
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| 428 | |
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| 429 | !!============================================================================== |
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| 430 | END MODULE traldf_iso_tile |
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