[3] | 1 | MODULE traldf_iso |
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[503] | 2 | !!====================================================================== |
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[457] | 3 | !! *** MODULE traldf_iso *** |
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[2528] | 4 | !! Ocean tracers: horizontal component of the lateral tracer mixing trend |
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[503] | 5 | !!====================================================================== |
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[5836] | 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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[503] | 13 | !!---------------------------------------------------------------------- |
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[5836] | 14 | |
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[3] | 15 | !!---------------------------------------------------------------------- |
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[6140] | 16 | !! tra_ldf_iso : update the tracer trend with the horizontal component of a iso-neutral laplacian operator |
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[14072] | 17 | !! and with the vertical part of the isopycnal or geopotential s-coord. operator |
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[3] | 18 | !!---------------------------------------------------------------------- |
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[6140] | 19 | USE oce ! ocean dynamics and active tracers |
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| 20 | USE dom_oce ! ocean space and time domain |
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[13982] | 21 | USE domutl, ONLY : is_tile |
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[6140] | 22 | USE trc_oce ! share passive tracers/Ocean variables |
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| 23 | USE zdf_oce ! ocean vertical physics |
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| 24 | USE ldftra ! lateral diffusion: tracer eddy coefficients |
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| 25 | USE ldfslp ! iso-neutral slopes |
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| 26 | USE diaptr ! poleward transport diagnostics |
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[7646] | 27 | USE diaar5 ! AR5 diagnostics |
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[5836] | 28 | ! |
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[6140] | 29 | USE in_out_manager ! I/O manager |
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| 30 | USE iom ! I/O library |
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| 31 | USE phycst ! physical constants |
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| 32 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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[3] | 33 | |
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| 34 | IMPLICIT NONE |
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| 35 | PRIVATE |
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| 36 | |
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[503] | 37 | PUBLIC tra_ldf_iso ! routine called by step.F90 |
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[3] | 38 | |
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[7646] | 39 | LOGICAL :: l_ptr ! flag to compute poleward transport |
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| 40 | LOGICAL :: l_hst ! flag to compute heat transport |
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| 41 | |
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[3] | 42 | !! * Substitutions |
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[12377] | 43 | # include "do_loop_substitute.h90" |
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[13237] | 44 | # include "domzgr_substitute.h90" |
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[3] | 45 | !!---------------------------------------------------------------------- |
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[9598] | 46 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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[2528] | 47 | !! $Id$ |
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[10068] | 48 | !! Software governed by the CeCILL license (see ./LICENSE) |
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[247] | 49 | !!---------------------------------------------------------------------- |
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[3] | 50 | CONTAINS |
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| 51 | |
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[13982] | 52 | SUBROUTINE tra_ldf_iso( kt, Kmm, kit000, cdtype, pahu, pahv, & |
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| 53 | & pgu , pgv , pgui, pgvi, & |
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| 54 | & pt, pt2, pt_rhs, kjpt, kpass ) |
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| 55 | !! |
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| 56 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 57 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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| 58 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 59 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 60 | INTEGER , INTENT(in ) :: kpass ! =1/2 first or second passage |
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| 61 | INTEGER , INTENT(in ) :: Kmm ! ocean time level index |
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| 62 | REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: pahu, pahv ! eddy diffusivity at u- and v-points [m2/s] |
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| 63 | REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: pgu, pgv ! tracer gradient at pstep levels |
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| 64 | REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: pgui, pgvi ! tracer gradient at top levels |
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| 65 | REAL(wp), DIMENSION(:,:,:,:), INTENT(in ) :: pt ! tracer (kpass=1) or laplacian of tracer (kpass=2) |
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| 66 | REAL(wp), DIMENSION(:,:,:,:), INTENT(in ) :: pt2 ! tracer (only used in kpass=2) |
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| 67 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pt_rhs ! tracer trend |
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| 68 | !! |
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| 69 | CALL tra_ldf_iso_t( kt, Kmm, kit000, cdtype, pahu, pahv, is_tile(pahu), & |
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| 70 | & pgu , pgv , is_tile(pgu) , pgui, pgvi, is_tile(pgui), & |
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| 71 | & pt, is_tile(pt), pt2, is_tile(pt2), pt_rhs, is_tile(pt_rhs), kjpt, kpass ) |
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| 72 | END SUBROUTINE tra_ldf_iso |
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| 73 | |
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| 74 | |
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| 75 | SUBROUTINE tra_ldf_iso_t( kt, Kmm, kit000, cdtype, pahu, pahv, ktah, & |
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| 76 | & pgu , pgv , ktg , pgui, pgvi, ktgi, & |
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| 77 | & pt, ktt, pt2, ktt2, pt_rhs, ktt_rhs, kjpt, kpass ) |
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[3] | 78 | !!---------------------------------------------------------------------- |
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| 79 | !! *** ROUTINE tra_ldf_iso *** |
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[457] | 80 | !! |
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[14072] | 81 | !! ** Purpose : Compute the before horizontal tracer (t & s) diffusive |
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| 82 | !! trend for a laplacian tensor (ezxcept the dz[ dz[.] ] term) and |
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[457] | 83 | !! add it to the general trend of tracer equation. |
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[3] | 84 | !! |
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[14072] | 85 | !! ** Method : The horizontal component of the lateral diffusive trends |
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[3] | 86 | !! is provided by a 2nd order operator rotated along neural or geopo- |
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| 87 | !! tential surfaces to which an eddy induced advection can be added |
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| 88 | !! It is computed using before fields (forward in time) and isopyc- |
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| 89 | !! nal or geopotential slopes computed in routine ldfslp. |
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| 90 | !! |
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[2528] | 91 | !! 1st part : masked horizontal derivative of T ( di[ t ] ) |
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[5836] | 92 | !! ======== with partial cell update if ln_zps=T |
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| 93 | !! with top cell update if ln_isfcav |
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[457] | 94 | !! |
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| 95 | !! 2nd part : horizontal fluxes of the lateral mixing operator |
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[14072] | 96 | !! ======== |
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[5836] | 97 | !! zftu = pahu e2u*e3u/e1u di[ tb ] |
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| 98 | !! - pahu e2u*uslp dk[ mi(mk(tb)) ] |
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| 99 | !! zftv = pahv e1v*e3v/e2v dj[ tb ] |
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| 100 | !! - pahv e2u*vslp dk[ mj(mk(tb)) ] |
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[3] | 101 | !! take the horizontal divergence of the fluxes: |
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[5836] | 102 | !! difft = 1/(e1e2t*e3t) { di-1[ zftu ] + dj-1[ zftv ] } |
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[3] | 103 | !! Add this trend to the general trend (ta,sa): |
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| 104 | !! ta = ta + difft |
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| 105 | !! |
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[457] | 106 | !! 3rd part: vertical trends of the lateral mixing operator |
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| 107 | !! ======== (excluding the vertical flux proportional to dk[t] ) |
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| 108 | !! vertical fluxes associated with the rotated lateral mixing: |
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[5836] | 109 | !! zftw = - { mi(mk(pahu)) * e2t*wslpi di[ mi(mk(tb)) ] |
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| 110 | !! + mj(mk(pahv)) * e1t*wslpj dj[ mj(mk(tb)) ] } |
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[457] | 111 | !! take the horizontal divergence of the fluxes: |
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[5836] | 112 | !! difft = 1/(e1e2t*e3t) dk[ zftw ] |
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[457] | 113 | !! Add this trend to the general trend (ta,sa): |
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[12377] | 114 | !! pt_rhs = pt_rhs + difft |
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[3] | 115 | !! |
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[12377] | 116 | !! ** Action : Update pt_rhs arrays with the before rotated diffusion |
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[503] | 117 | !!---------------------------------------------------------------------- |
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[13982] | 118 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 119 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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| 120 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 121 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 122 | INTEGER , INTENT(in ) :: kpass ! =1/2 first or second passage |
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| 123 | INTEGER , INTENT(in ) :: Kmm ! ocean time level index |
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| 124 | INTEGER , INTENT(in ) :: ktah, ktg, ktgi, ktt, ktt2, ktt_rhs |
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| 125 | REAL(wp), DIMENSION(A2D_T(ktah) ,JPK) , INTENT(in ) :: pahu, pahv ! eddy diffusivity at u- and v-points [m2/s] |
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| 126 | REAL(wp), DIMENSION(A2D_T(ktg) ,KJPT), INTENT(in ) :: pgu, pgv ! tracer gradient at pstep levels |
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| 127 | REAL(wp), DIMENSION(A2D_T(ktgi) ,KJPT), INTENT(in ) :: pgui, pgvi ! tracer gradient at top levels |
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| 128 | REAL(wp), DIMENSION(A2D_T(ktt) ,JPK,KJPT), INTENT(in ) :: pt ! tracer (kpass=1) or laplacian of tracer (kpass=2) |
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| 129 | REAL(wp), DIMENSION(A2D_T(ktt2) ,JPK,KJPT), INTENT(in ) :: pt2 ! tracer (only used in kpass=2) |
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| 130 | REAL(wp), DIMENSION(A2D_T(ktt_rhs),JPK,KJPT), INTENT(inout) :: pt_rhs ! tracer trend |
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[2715] | 131 | ! |
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[2528] | 132 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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[6140] | 133 | INTEGER :: ikt |
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[5836] | 134 | INTEGER :: ierr ! local integer |
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| 135 | REAL(wp) :: zmsku, zahu_w, zabe1, zcof1, zcoef3 ! local scalars |
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| 136 | REAL(wp) :: zmskv, zahv_w, zabe2, zcof2, zcoef4 ! - - |
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[12489] | 137 | REAL(wp) :: zcoef0, ze3w_2, zsign ! - - |
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[13982] | 138 | REAL(wp), DIMENSION(A2D(nn_hls)) :: zdkt, zdk1t, z2d |
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| 139 | REAL(wp), DIMENSION(A2D(nn_hls),jpk) :: zdit, zdjt, zftu, zftv, ztfw |
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[3] | 140 | !!---------------------------------------------------------------------- |
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[3294] | 141 | ! |
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[9779] | 142 | IF( kpass == 1 .AND. kt == kit000 ) THEN |
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[13982] | 143 | IF( ntile == 0 .OR. ntile == 1 ) THEN ! Do only on the first tile |
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| 144 | IF(lwp) WRITE(numout,*) |
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| 145 | IF(lwp) WRITE(numout,*) 'tra_ldf_iso : rotated laplacian diffusion operator on ', cdtype |
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| 146 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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| 147 | ENDIF |
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[5836] | 148 | ! |
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[13982] | 149 | DO_3D( 0, 0, 0, 0, 1, jpk ) |
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| 150 | akz (ji,jj,jk) = 0._wp |
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| 151 | ah_wslp2(ji,jj,jk) = 0._wp |
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| 152 | END_3D |
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[3] | 153 | ENDIF |
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[7646] | 154 | ! |
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[13982] | 155 | IF( ntile == 0 .OR. ntile == 1 ) THEN ! Do only on the first tile |
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| 156 | l_hst = .FALSE. |
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| 157 | l_ptr = .FALSE. |
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| 158 | IF( cdtype == 'TRA' .AND. ( iom_use( 'sophtldf' ) .OR. iom_use( 'sopstldf' ) ) ) l_ptr = .TRUE. |
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| 159 | IF( cdtype == 'TRA' .AND. ( iom_use("uadv_heattr") .OR. iom_use("vadv_heattr") .OR. & |
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| 160 | & iom_use("uadv_salttr") .OR. iom_use("vadv_salttr") ) ) l_hst = .TRUE. |
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| 161 | ENDIF |
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[5836] | 162 | ! |
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[13982] | 163 | ! |
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[5836] | 164 | IF( kpass == 1 ) THEN ; zsign = 1._wp ! bilaplacian operator require a minus sign (eddy diffusivity >0) |
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| 165 | ELSE ; zsign = -1._wp |
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| 166 | ENDIF |
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[14072] | 167 | |
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[5836] | 168 | !!---------------------------------------------------------------------- |
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| 169 | !! 0 - calculate ah_wslp2 and akz |
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| 170 | !!---------------------------------------------------------------------- |
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| 171 | ! |
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| 172 | IF( kpass == 1 ) THEN !== first pass only ==! |
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| 173 | ! |
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[13295] | 174 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
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[12377] | 175 | ! |
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| 176 | zmsku = wmask(ji,jj,jk) / MAX( umask(ji ,jj,jk-1) + umask(ji-1,jj,jk) & |
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| 177 | & + umask(ji-1,jj,jk-1) + umask(ji ,jj,jk) , 1._wp ) |
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| 178 | zmskv = wmask(ji,jj,jk) / MAX( vmask(ji,jj ,jk-1) + vmask(ji,jj-1,jk) & |
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| 179 | & + vmask(ji,jj-1,jk-1) + vmask(ji,jj ,jk) , 1._wp ) |
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| 180 | ! |
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| 181 | zahu_w = ( pahu(ji ,jj,jk-1) + pahu(ji-1,jj,jk) & |
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| 182 | & + pahu(ji-1,jj,jk-1) + pahu(ji ,jj,jk) ) * zmsku |
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| 183 | zahv_w = ( pahv(ji,jj ,jk-1) + pahv(ji,jj-1,jk) & |
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| 184 | & + pahv(ji,jj-1,jk-1) + pahv(ji,jj ,jk) ) * zmskv |
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| 185 | ! |
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| 186 | ah_wslp2(ji,jj,jk) = zahu_w * wslpi(ji,jj,jk) * wslpi(ji,jj,jk) & |
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| 187 | & + zahv_w * wslpj(ji,jj,jk) * wslpj(ji,jj,jk) |
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| 188 | END_3D |
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[5836] | 189 | ! |
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| 190 | IF( ln_traldf_msc ) THEN ! stabilizing vertical diffusivity coefficient |
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[13295] | 191 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
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[12377] | 192 | akz(ji,jj,jk) = 0.25_wp * ( & |
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| 193 | & ( pahu(ji ,jj,jk) + pahu(ji ,jj,jk-1) ) / ( e1u(ji ,jj) * e1u(ji ,jj) ) & |
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| 194 | & + ( pahu(ji-1,jj,jk) + pahu(ji-1,jj,jk-1) ) / ( e1u(ji-1,jj) * e1u(ji-1,jj) ) & |
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| 195 | & + ( pahv(ji,jj ,jk) + pahv(ji,jj ,jk-1) ) / ( e2v(ji,jj ) * e2v(ji,jj ) ) & |
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| 196 | & + ( pahv(ji,jj-1,jk) + pahv(ji,jj-1,jk-1) ) / ( e2v(ji,jj-1) * e2v(ji,jj-1) ) ) |
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| 197 | END_3D |
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[5836] | 198 | ! |
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| 199 | IF( ln_traldf_blp ) THEN ! bilaplacian operator |
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[13982] | 200 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
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[13237] | 201 | akz(ji,jj,jk) = 16._wp & |
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| 202 | & * ah_wslp2 (ji,jj,jk) & |
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| 203 | & * ( akz (ji,jj,jk) & |
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| 204 | & + ah_wslp2(ji,jj,jk) & |
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| 205 | & / ( e3w(ji,jj,jk,Kmm) * e3w(ji,jj,jk,Kmm) ) ) |
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[12377] | 206 | END_3D |
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[5836] | 207 | ELSEIF( ln_traldf_lap ) THEN ! laplacian operator |
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[13982] | 208 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
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[12377] | 209 | ze3w_2 = e3w(ji,jj,jk,Kmm) * e3w(ji,jj,jk,Kmm) |
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[12489] | 210 | zcoef0 = rDt * ( akz(ji,jj,jk) + ah_wslp2(ji,jj,jk) / ze3w_2 ) |
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| 211 | akz(ji,jj,jk) = MAX( zcoef0 - 0.5_wp , 0._wp ) * ze3w_2 * r1_Dt |
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[12377] | 212 | END_3D |
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[5836] | 213 | ENDIF |
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| 214 | ! |
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| 215 | ELSE ! 33 flux set to zero with akz=ah_wslp2 ==>> computed in full implicit |
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[13982] | 216 | DO_3D( 0, 0, 0, 0, 1, jpk ) |
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| 217 | akz(ji,jj,jk) = ah_wslp2(ji,jj,jk) |
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| 218 | END_3D |
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[5836] | 219 | ENDIF |
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| 220 | ENDIF |
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| 221 | ! |
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[2528] | 222 | ! ! =========== |
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| 223 | DO jn = 1, kjpt ! tracer loop |
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| 224 | ! ! =========== |
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[14072] | 225 | ! |
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[2528] | 226 | !!---------------------------------------------------------------------- |
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[14072] | 227 | !! I - masked horizontal derivative |
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[2528] | 228 | !!---------------------------------------------------------------------- |
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[5836] | 229 | !!gm : bug.... why (x,:,:)? (1,jpj,:) and (jpi,1,:) should be sufficient.... |
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[13982] | 230 | zdit (ntsi-nn_hls,:,:) = 0._wp ; zdit (ntei+nn_hls,:,:) = 0._wp |
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| 231 | zdjt (ntsi-nn_hls,:,:) = 0._wp ; zdjt (ntei+nn_hls,:,:) = 0._wp |
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[2528] | 232 | !!end |
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[3] | 233 | |
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[14072] | 234 | ! Horizontal tracer gradient |
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[13295] | 235 | DO_3D( 1, 0, 1, 0, 1, jpkm1 ) |
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[12377] | 236 | zdit(ji,jj,jk) = ( pt(ji+1,jj ,jk,jn) - pt(ji,jj,jk,jn) ) * umask(ji,jj,jk) |
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| 237 | zdjt(ji,jj,jk) = ( pt(ji ,jj+1,jk,jn) - pt(ji,jj,jk,jn) ) * vmask(ji,jj,jk) |
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| 238 | END_3D |
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[5836] | 239 | IF( ln_zps ) THEN ! botton and surface ocean correction of the horizontal gradient |
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[13497] | 240 | DO_2D( 1, 0, 1, 0 ) ! bottom correction (partial bottom cell) |
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[14072] | 241 | zdit(ji,jj,mbku(ji,jj)) = pgu(ji,jj,jn) |
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[12377] | 242 | zdjt(ji,jj,mbkv(ji,jj)) = pgv(ji,jj,jn) |
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| 243 | END_2D |
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[5836] | 244 | IF( ln_isfcav ) THEN ! first wet level beneath a cavity |
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[13295] | 245 | DO_2D( 1, 0, 1, 0 ) |
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[14072] | 246 | IF( miku(ji,jj) > 1 ) zdit(ji,jj,miku(ji,jj)) = pgui(ji,jj,jn) |
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| 247 | IF( mikv(ji,jj) > 1 ) zdjt(ji,jj,mikv(ji,jj)) = pgvi(ji,jj,jn) |
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[12377] | 248 | END_2D |
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[5836] | 249 | ENDIF |
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[5120] | 250 | ENDIF |
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[6140] | 251 | ! |
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[2528] | 252 | !!---------------------------------------------------------------------- |
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| 253 | !! II - horizontal trend (full) |
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| 254 | !!---------------------------------------------------------------------- |
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[5836] | 255 | ! |
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| 256 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 257 | ! |
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[13982] | 258 | DO_2D( 1, 1, 1, 1 ) |
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| 259 | ! !== Vertical tracer gradient |
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| 260 | zdk1t(ji,jj) = ( pt(ji,jj,jk,jn) - pt(ji,jj,jk+1,jn) ) * wmask(ji,jj,jk+1) ! level jk+1 |
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| 261 | ! |
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| 262 | IF( jk == 1 ) THEN ; zdkt(ji,jj) = zdk1t(ji,jj) ! surface: zdkt(jk=1)=zdkt(jk=2) |
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| 263 | ELSE ; zdkt(ji,jj) = ( pt(ji,jj,jk-1,jn) - pt(ji,jj,jk,jn) ) * wmask(ji,jj,jk) |
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| 264 | ENDIF |
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| 265 | END_2D |
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[5836] | 266 | ! |
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[13497] | 267 | DO_2D( 1, 0, 1, 0 ) !== Horizontal fluxes |
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[12377] | 268 | zabe1 = pahu(ji,jj,jk) * e2_e1u(ji,jj) * e3u(ji,jj,jk,Kmm) |
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| 269 | zabe2 = pahv(ji,jj,jk) * e1_e2v(ji,jj) * e3v(ji,jj,jk,Kmm) |
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| 270 | ! |
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| 271 | zmsku = 1. / MAX( wmask(ji+1,jj,jk ) + wmask(ji,jj,jk+1) & |
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| 272 | & + wmask(ji+1,jj,jk+1) + wmask(ji,jj,jk ), 1. ) |
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| 273 | ! |
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| 274 | zmskv = 1. / MAX( wmask(ji,jj+1,jk ) + wmask(ji,jj,jk+1) & |
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| 275 | & + wmask(ji,jj+1,jk+1) + wmask(ji,jj,jk ), 1. ) |
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| 276 | ! |
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| 277 | zcof1 = - pahu(ji,jj,jk) * e2u(ji,jj) * uslp(ji,jj,jk) * zmsku |
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| 278 | zcof2 = - pahv(ji,jj,jk) * e1v(ji,jj) * vslp(ji,jj,jk) * zmskv |
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| 279 | ! |
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| 280 | zftu(ji,jj,jk ) = ( zabe1 * zdit(ji,jj,jk) & |
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| 281 | & + zcof1 * ( zdkt (ji+1,jj) + zdk1t(ji,jj) & |
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| 282 | & + zdk1t(ji+1,jj) + zdkt (ji,jj) ) ) * umask(ji,jj,jk) |
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| 283 | zftv(ji,jj,jk) = ( zabe2 * zdjt(ji,jj,jk) & |
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| 284 | & + zcof2 * ( zdkt (ji,jj+1) + zdk1t(ji,jj) & |
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[14072] | 285 | & + zdk1t(ji,jj+1) + zdkt (ji,jj) ) ) * vmask(ji,jj,jk) |
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[12377] | 286 | END_2D |
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[5836] | 287 | ! |
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[13497] | 288 | DO_2D( 0, 0, 0, 0 ) !== horizontal divergence and add to pta |
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[13237] | 289 | pt_rhs(ji,jj,jk,jn) = pt_rhs(ji,jj,jk,jn) & |
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| 290 | & + zsign * ( zftu(ji,jj,jk) - zftu(ji-1,jj,jk) + zftv(ji,jj,jk) - zftv(ji,jj-1,jk) ) & |
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[12377] | 291 | & * r1_e1e2t(ji,jj) / e3t(ji,jj,jk,Kmm) |
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| 292 | END_2D |
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[14072] | 293 | END DO ! End of slab |
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[3] | 294 | |
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[2528] | 295 | !!---------------------------------------------------------------------- |
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[5836] | 296 | !! III - vertical trend (full) |
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[2528] | 297 | !!---------------------------------------------------------------------- |
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[6140] | 298 | ! |
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[2528] | 299 | ! Vertical fluxes |
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| 300 | ! --------------- |
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[6140] | 301 | ! ! Surface and bottom vertical fluxes set to zero |
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[7753] | 302 | ztfw(:,:, 1 ) = 0._wp ; ztfw(:,:,jpk) = 0._wp |
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[14072] | 303 | |
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[13497] | 304 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) ! interior (2=<jk=<jpk-1) |
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[12377] | 305 | ! |
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| 306 | zmsku = wmask(ji,jj,jk) / MAX( umask(ji ,jj,jk-1) + umask(ji-1,jj,jk) & |
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| 307 | & + umask(ji-1,jj,jk-1) + umask(ji ,jj,jk) , 1._wp ) |
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| 308 | zmskv = wmask(ji,jj,jk) / MAX( vmask(ji,jj ,jk-1) + vmask(ji,jj-1,jk) & |
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| 309 | & + vmask(ji,jj-1,jk-1) + vmask(ji,jj ,jk) , 1._wp ) |
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| 310 | ! |
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| 311 | zahu_w = ( pahu(ji ,jj,jk-1) + pahu(ji-1,jj,jk) & |
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| 312 | & + pahu(ji-1,jj,jk-1) + pahu(ji ,jj,jk) ) * zmsku |
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| 313 | zahv_w = ( pahv(ji,jj ,jk-1) + pahv(ji,jj-1,jk) & |
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| 314 | & + pahv(ji,jj-1,jk-1) + pahv(ji,jj ,jk) ) * zmskv |
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| 315 | ! |
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| 316 | zcoef3 = - zahu_w * e2t(ji,jj) * zmsku * wslpi (ji,jj,jk) !wslpi & j are already w-masked |
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| 317 | zcoef4 = - zahv_w * e1t(ji,jj) * zmskv * wslpj (ji,jj,jk) |
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| 318 | ! |
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| 319 | ztfw(ji,jj,jk) = zcoef3 * ( zdit(ji ,jj ,jk-1) + zdit(ji-1,jj ,jk) & |
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| 320 | & + zdit(ji-1,jj ,jk-1) + zdit(ji ,jj ,jk) ) & |
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| 321 | & + zcoef4 * ( zdjt(ji ,jj ,jk-1) + zdjt(ji ,jj-1,jk) & |
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| 322 | & + zdjt(ji ,jj-1,jk-1) + zdjt(ji ,jj ,jk) ) |
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| 323 | END_3D |
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[5836] | 324 | ! !== add the vertical 33 flux ==! |
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| 325 | IF( ln_traldf_lap ) THEN ! laplacian case: eddy coef = ah_wslp2 - akz |
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[13295] | 326 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
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[12377] | 327 | ztfw(ji,jj,jk) = ztfw(ji,jj,jk) + e1e2t(ji,jj) / e3w(ji,jj,jk,Kmm) * wmask(ji,jj,jk) & |
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| 328 | & * ( ah_wslp2(ji,jj,jk) - akz(ji,jj,jk) ) & |
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| 329 | & * ( pt(ji,jj,jk-1,jn) - pt(ji,jj,jk,jn) ) |
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| 330 | END_3D |
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[5836] | 331 | ! |
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[14072] | 332 | ELSE ! bilaplacian |
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[5836] | 333 | SELECT CASE( kpass ) |
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| 334 | CASE( 1 ) ! 1st pass : eddy coef = ah_wslp2 |
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[13295] | 335 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
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[13237] | 336 | ztfw(ji,jj,jk) = & |
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| 337 | & ztfw(ji,jj,jk) + ah_wslp2(ji,jj,jk) * e1e2t(ji,jj) & |
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[12377] | 338 | & * ( pt(ji,jj,jk-1,jn) - pt(ji,jj,jk,jn) ) / e3w(ji,jj,jk,Kmm) * wmask(ji,jj,jk) |
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| 339 | END_3D |
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| 340 | CASE( 2 ) ! 2nd pass : eddy flux = ah_wslp2 and akz applied on pt and pt2 gradients, resp. |
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[13295] | 341 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
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[12377] | 342 | ztfw(ji,jj,jk) = ztfw(ji,jj,jk) + e1e2t(ji,jj) / e3w(ji,jj,jk,Kmm) * wmask(ji,jj,jk) & |
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| 343 | & * ( ah_wslp2(ji,jj,jk) * ( pt (ji,jj,jk-1,jn) - pt (ji,jj,jk,jn) ) & |
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| 344 | & + akz(ji,jj,jk) * ( pt2(ji,jj,jk-1,jn) - pt2(ji,jj,jk,jn) ) ) |
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| 345 | END_3D |
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[5836] | 346 | END SELECT |
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| 347 | ENDIF |
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[14072] | 348 | ! |
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[13497] | 349 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) !== Divergence of vertical fluxes added to pta ==! |
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[13237] | 350 | pt_rhs(ji,jj,jk,jn) = pt_rhs(ji,jj,jk,jn) + zsign * ( ztfw (ji,jj,jk) - ztfw(ji,jj,jk+1) ) * r1_e1e2t(ji,jj) & |
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| 351 | & / e3t(ji,jj,jk,Kmm) |
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[12377] | 352 | END_3D |
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[2528] | 353 | ! |
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[5836] | 354 | IF( ( kpass == 1 .AND. ln_traldf_lap ) .OR. & !== first pass only ( laplacian) ==! |
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| 355 | ( kpass == 2 .AND. ln_traldf_blp ) ) THEN !== 2nd pass (bilaplacian) ==! |
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| 356 | ! |
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| 357 | ! ! "Poleward" diffusive heat or salt transports (T-S case only) |
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[7646] | 358 | ! note sign is reversed to give down-gradient diffusive transports ) |
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| 359 | IF( l_ptr ) CALL dia_ptr_hst( jn, 'ldf', -zftv(:,:,:) ) |
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| 360 | ! ! Diffusive heat transports |
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| 361 | IF( l_hst ) CALL dia_ar5_hst( jn, 'ldf', -zftu(:,:,:), -zftv(:,:,:) ) |
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[5836] | 362 | ! |
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| 363 | ENDIF !== end pass selection ==! |
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| 364 | ! |
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| 365 | ! ! =============== |
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| 366 | END DO ! end tracer loop |
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[503] | 367 | ! |
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[13982] | 368 | END SUBROUTINE tra_ldf_iso_t |
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[3] | 369 | |
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| 370 | !!============================================================================== |
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| 371 | END MODULE traldf_iso |
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