| 1 | MODULE traldf_triad |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE traldf_triad *** |
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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 : 3.3 ! 2010-10 (G. Nurser, C. Harris, G. Madec) Griffies operator (original code) |
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| 7 | !! 3.7 ! 2013-12 (F. Lemarie, G. Madec) triad operator (Griffies) + Method of Stabilizing Correction |
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| 8 | !!---------------------------------------------------------------------- |
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| 9 | |
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| 10 | !!---------------------------------------------------------------------- |
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| 11 | !! tra_ldf_triad : update the tracer trend with the iso-neutral laplacian triad-operator |
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| 12 | !!---------------------------------------------------------------------- |
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| 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 domutl, ONLY : is_tile |
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| 16 | USE phycst ! physical constants |
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| 17 | USE trc_oce ! share passive tracers/Ocean variables |
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| 18 | USE zdf_oce ! ocean vertical physics |
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| 19 | USE ldftra ! lateral physics: eddy diffusivity |
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| 20 | USE ldfslp ! lateral physics: iso-neutral slopes |
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| 21 | USE traldf_iso ! lateral diffusion (Madec operator) (tra_ldf_iso routine) |
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| 22 | USE diaptr ! poleward transport diagnostics |
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| 23 | USE diaar5 ! AR5 diagnostics |
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| 24 | USE zpshde ! partial step: hor. derivative (zps_hde routine) |
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| 25 | ! |
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| 26 | USE in_out_manager ! I/O manager |
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| 27 | USE iom ! I/O library |
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| 28 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 29 | USE lib_mpp ! MPP library |
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| 30 | |
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| 31 | IMPLICIT NONE |
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| 32 | PRIVATE |
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| 33 | |
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| 34 | PUBLIC tra_ldf_triad ! routine called by traldf.F90 |
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| 35 | |
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| 36 | LOGICAL :: l_ptr ! flag to compute poleward transport |
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| 37 | LOGICAL :: l_hst ! flag to compute heat transport |
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| 38 | |
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| 39 | |
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| 40 | !! * Substitutions |
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| 41 | # include "do_loop_substitute.h90" |
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| 42 | # include "domzgr_substitute.h90" |
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| 43 | !!---------------------------------------------------------------------- |
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| 44 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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| 45 | !! $Id$ |
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| 46 | !! Software governed by the CeCILL license (see ./LICENSE) |
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| 47 | !!---------------------------------------------------------------------- |
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| 48 | CONTAINS |
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| 49 | |
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| 50 | SUBROUTINE tra_ldf_triad( kt, Kmm, kit000, cdtype, pahu, pahv, & |
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| 51 | & pgu , pgv , pgui, pgvi, & |
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| 52 | & pt, pt2, pt_rhs, kjpt, kpass ) |
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| 53 | !! |
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| 54 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 55 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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| 56 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 57 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 58 | INTEGER , INTENT(in ) :: kpass ! =1/2 first or second passage |
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| 59 | INTEGER , INTENT(in ) :: Kmm ! ocean time level indices |
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| 60 | REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: pahu, pahv ! eddy diffusivity at u- and v-points [m2/s] |
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| 61 | REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: pgu , pgv ! tracer gradient at pstep levels |
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| 62 | REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: pgui, pgvi ! tracer gradient at top levels |
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| 63 | REAL(wp), DIMENSION(:,:,:,:), INTENT(in ) :: pt ! tracer (kpass=1) or laplacian of tracer (kpass=2) |
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| 64 | REAL(wp), DIMENSION(:,:,:,:), INTENT(in ) :: pt2 ! tracer (only used in kpass=2) |
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| 65 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pt_rhs ! tracer trend |
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| 66 | !! |
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| 67 | CALL tra_ldf_triad_t( kt, Kmm, kit000, cdtype, pahu, pahv, is_tile(pahu), & |
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| 68 | & pgu , pgv , is_tile(pgu) , pgui, pgvi, is_tile(pgui), & |
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| 69 | & pt, is_tile(pt), pt2, is_tile(pt2), pt_rhs, is_tile(pt_rhs), kjpt, kpass ) |
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| 70 | END SUBROUTINE tra_ldf_triad |
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| 71 | |
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| 72 | |
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| 73 | SUBROUTINE tra_ldf_triad_t( kt, Kmm, kit000, cdtype, pahu, pahv, ktah, & |
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| 74 | & pgu , pgv , ktg , pgui, pgvi, ktgi, & |
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| 75 | & pt, ktt, pt2, ktt2, pt_rhs, ktt_rhs, kjpt, kpass ) |
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| 76 | !!---------------------------------------------------------------------- |
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| 77 | !! *** ROUTINE tra_ldf_triad *** |
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| 78 | !! |
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| 79 | !! ** Purpose : Compute the before horizontal tracer (t & s) diffusive |
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| 80 | !! trend for a laplacian tensor (ezxcept the dz[ dz[.] ] term) and |
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| 81 | !! add it to the general trend of tracer equation. |
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| 82 | !! |
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| 83 | !! ** Method : The horizontal component of the lateral diffusive trends |
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| 84 | !! is provided by a 2nd order operator rotated along neural or geopo- |
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| 85 | !! tential surfaces to which an eddy induced advection can be added |
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| 86 | !! It is computed using before fields (forward in time) and isopyc- |
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| 87 | !! nal or geopotential slopes computed in routine ldfslp. |
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| 88 | !! |
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| 89 | !! see documentation for the desciption |
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| 90 | !! |
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| 91 | !! ** Action : pt_rhs updated with the before rotated diffusion |
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| 92 | !! ah_wslp2 .... |
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| 93 | !! akz stabilizing vertical diffusivity coefficient (used in trazdf_imp) |
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| 94 | !!---------------------------------------------------------------------- |
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| 95 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 96 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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| 97 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 98 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 99 | INTEGER , INTENT(in ) :: kpass ! =1/2 first or second passage |
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| 100 | INTEGER , INTENT(in) :: Kmm ! ocean time level indices |
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| 101 | INTEGER , INTENT(in ) :: ktah, ktg, ktgi, ktt, ktt2, ktt_rhs |
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| 102 | REAL(wp), DIMENSION(A2D_T(ktah), JPK) , INTENT(in ) :: pahu, pahv ! eddy diffusivity at u- and v-points [m2/s] |
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| 103 | REAL(wp), DIMENSION(A2D_T(ktg), KJPT), INTENT(in ) :: pgu , pgv ! tracer gradient at pstep levels |
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| 104 | REAL(wp), DIMENSION(A2D_T(ktgi), KJPT), INTENT(in ) :: pgui, pgvi ! tracer gradient at top levels |
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| 105 | REAL(wp), DIMENSION(A2D_T(ktt), JPK,KJPT), INTENT(in ) :: pt ! tracer (kpass=1) or laplacian of tracer (kpass=2) |
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| 106 | REAL(wp), DIMENSION(A2D_T(ktt2), JPK,KJPT), INTENT(in ) :: pt2 ! tracer (only used in kpass=2) |
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| 107 | REAL(wp), DIMENSION(A2D_T(ktt_rhs),JPK,KJPT), INTENT(inout) :: pt_rhs ! tracer trend |
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| 108 | ! |
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| 109 | INTEGER :: ji, jj, jk, jn, kp, iij ! dummy loop indices |
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| 110 | REAL(wp) :: zcoef0, ze3w_2, zsign ! - - |
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| 111 | ! |
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| 112 | REAL(wp) :: zslope2, zbu, zbv, zbu1, zbv1, zslope21, zah, zah1, zah_ip1, zah_jp1, zbu_ip1, zbv_jp1 |
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| 113 | REAL(wp) :: ze1ur, ze2vr, ze3wr, zdxt, zdyt, zdzt, zdyt_jp1, ze3wr_jp1, zdzt_jp1, zah_slp1, zah_slp_jp1, zaei_slp_jp1 |
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| 114 | REAL(wp) :: zah_slp, zaei_slp, zdxt_ip1, ze3wr_ip1, zdzt_ip1, zah_slp_ip1, zaei_slp_ip1, zaei_slp1 |
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| 115 | REAL(wp), DIMENSION(A2D(nn_hls),0:1) :: zdkt3d ! vertical tracer gradient at 2 levels |
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| 116 | REAL(wp), DIMENSION(A2D(nn_hls) ) :: z2d ! 2D workspace |
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| 117 | REAL(wp), DIMENSION(A2D(nn_hls),jpk) :: zdit, zdjt, zftu, zftv, ztfw, zpsi_uw, zpsi_vw ! 3D - |
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| 118 | !!---------------------------------------------------------------------- |
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| 119 | ! |
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| 120 | IF( .NOT. l_istiled .OR. ntile == 1 ) THEN ! Do only on the first tile |
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| 121 | IF( kpass == 1 .AND. kt == kit000 ) THEN |
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| 122 | IF(lwp) WRITE(numout,*) |
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| 123 | IF(lwp) WRITE(numout,*) 'tra_ldf_triad : rotated laplacian diffusion operator on ', cdtype |
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| 124 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~' |
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| 125 | ENDIF |
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| 126 | ! |
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| 127 | l_hst = .FALSE. |
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| 128 | l_ptr = .FALSE. |
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| 129 | IF( cdtype == 'TRA' ) THEN |
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| 130 | IF( iom_use( 'sophtldf' ) .OR. iom_use( 'sopstldf') ) l_ptr = .TRUE. |
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| 131 | IF( iom_use("uadv_heattr") .OR. iom_use("vadv_heattr") .OR. & |
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| 132 | & iom_use("uadv_salttr") .OR. iom_use("vadv_salttr") ) l_hst = .TRUE. |
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| 133 | ENDIF |
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| 134 | ENDIF |
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| 135 | ! |
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| 136 | ! Define pt_rhs halo points for multi-point haloes in bilaplacian case |
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| 137 | IF( nldf_tra == np_blp_it .AND. kpass == 1 ) THEN ; iij = nn_hls |
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| 138 | ELSE ; iij = 1 |
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| 139 | ENDIF |
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| 140 | |
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| 141 | ! |
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| 142 | IF( kpass == 1 ) THEN ; zsign = 1._wp ! bilaplacian operator require a minus sign (eddy diffusivity >0) |
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| 143 | ELSE ; zsign = -1._wp |
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| 144 | ENDIF |
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| 145 | ! |
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| 146 | !!---------------------------------------------------------------------- |
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| 147 | !! 0 - calculate ah_wslp2, akz, and optionally zpsi_uw, zpsi_vw |
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| 148 | !!---------------------------------------------------------------------- |
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| 149 | ! |
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| 150 | IF( kpass == 1 ) THEN !== first pass only and whatever the tracer is ==! |
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| 151 | ! |
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| 152 | ! [comm_cleanup] ! DO_3D( 0, 0, 0, 0, 1, jpk ) |
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| 153 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 1, jpk ) |
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| 154 | akz (ji,jj,jk) = 0._wp |
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| 155 | ah_wslp2(ji,jj,jk) = 0._wp |
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| 156 | END_3D |
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| 157 | ! |
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| 158 | DO kp = 0, 1 ! i-k triads |
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| 159 | ! [comm_cleanup] ! DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
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| 160 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 1, jpkm1 ) |
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| 161 | ze3wr = 1._wp / e3w(ji,jj,jk+kp,Kmm) |
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| 162 | zbu = e1e2u(ji,jj) * e3u(ji,jj,jk,Kmm) |
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| 163 | zbu1 = e1e2u(ji-1,jj) * e3u(ji-1,jj,jk,Kmm) |
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| 164 | zah = 0.25_wp * pahu(ji,jj,jk) |
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| 165 | zah1 = 0.25_wp * pahu(ji-1,jj,jk) |
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| 166 | ! Subtract s-coordinate slope at t-points to give slope rel to s-surfaces (do this by *adding* gradient of depth) |
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| 167 | zslope2 = triadi_g(ji,jj,jk,1,kp) + ( gdept(ji+1,jj,jk,Kmm) - gdept(ji,jj,jk,Kmm) ) * r1_e1u(ji,jj) * umask(ji,jj,jk+kp) |
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| 168 | zslope2 = zslope2 *zslope2 |
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| 169 | zslope21 = triadi_g(ji,jj,jk,0,kp) + ( gdept(ji,jj,jk,Kmm) - gdept(ji-1,jj,jk,Kmm) ) * r1_e1u(ji-1,jj) * umask(ji-1,jj,jk+kp) |
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| 170 | zslope21 = zslope21 *zslope21 |
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| 171 | ! round brackets added to fix the order of floating point operations |
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| 172 | ! needed to ensure halo 1 - halo 2 compatibility |
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| 173 | ah_wslp2(ji,jj,jk+kp) = ah_wslp2(ji,jj,jk+kp) + ( zah * zbu * ze3wr * r1_e1e2t(ji,jj) * zslope2 & |
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| 174 | & + zah1 * zbu1 * ze3wr * r1_e1e2t(ji,jj) * zslope21 & |
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| 175 | & ) ! bracket for halo 1 - halo 2 compatibility |
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| 176 | akz (ji,jj,jk+kp) = akz (ji,jj,jk+kp) + ( zah * r1_e1u(ji,jj) * r1_e1u(ji,jj) * umask(ji,jj,jk+kp) & |
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| 177 | + zah1 * r1_e1u(ji-1,jj) * r1_e1u(ji-1,jj) * umask(ji-1,jj,jk+kp) & |
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| 178 | & ) ! bracket for halo 1 - halo 2 compatibility |
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| 179 | END_3D |
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| 180 | END DO |
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| 181 | ! |
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| 182 | DO kp = 0, 1 ! j-k triads |
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| 183 | ! [comm_cleanup] ! DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
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| 184 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 1, jpkm1 ) |
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| 185 | ze3wr = 1.0_wp / e3w(ji,jj,jk+kp,Kmm) |
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| 186 | zbv = e1e2v(ji,jj) * e3v(ji,jj,jk,Kmm) |
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| 187 | zbv1 = e1e2v(ji,jj-1) * e3v(ji,jj-1,jk,Kmm) |
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| 188 | zah = 0.25_wp * pahv(ji,jj,jk) |
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| 189 | zah1 = 0.25_wp * pahv(ji,jj-1,jk) |
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| 190 | ! Subtract s-coordinate slope at t-points to give slope rel to s surfaces |
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| 191 | ! (do this by *adding* gradient of depth) |
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| 192 | zslope2 = triadj_g(ji,jj,jk,1,kp) + ( gdept(ji,jj+1,jk,Kmm) - gdept(ji,jj,jk,Kmm) ) * r1_e2v(ji,jj) * vmask(ji,jj,jk+kp) |
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| 193 | zslope2 = zslope2 * zslope2 |
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| 194 | zslope21 = triadj_g(ji,jj,jk,0,kp) + ( gdept(ji,jj,jk,Kmm) - gdept(ji,jj-1,jk,Kmm) ) * r1_e2v(ji,jj-1) * vmask(ji,jj-1,jk+kp) |
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| 195 | zslope21 = zslope21 * zslope21 |
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| 196 | ! round brackets added to fix the order of floating point operations |
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| 197 | ! needed to ensure halo 1 - halo 2 compatibility |
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| 198 | ah_wslp2(ji,jj,jk+kp) = ah_wslp2(ji,jj,jk+kp) + ( zah * zbv * ze3wr * r1_e1e2t(ji,jj) * zslope2 & |
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| 199 | & + zah1 * zbv1 * ze3wr * r1_e1e2t(ji,jj) * zslope21 & |
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| 200 | & ) ! bracket for halo 1 - halo 2 compatibility |
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| 201 | akz (ji,jj,jk+kp) = akz (ji,jj,jk+kp) + ( zah * r1_e2v(ji,jj) * r1_e2v(ji,jj) * vmask(ji,jj,jk+kp) & |
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| 202 | & + zah1 * r1_e2v(ji,jj-1) * r1_e2v(ji,jj-1) * vmask(ji,jj-1,jk+kp) & |
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| 203 | & ) ! bracket for halo 1 - halo 2 compatibility |
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| 204 | ! |
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| 205 | END_3D |
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| 206 | END DO |
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| 207 | ! |
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| 208 | IF( ln_traldf_msc ) THEN ! stabilizing vertical diffusivity coefficient |
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| 209 | ! |
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| 210 | IF( ln_traldf_blp ) THEN ! bilaplacian operator |
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| 211 | ! [comm_cleanup] ! DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
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| 212 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 2, jpkm1 ) |
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| 213 | akz(ji,jj,jk) = 16._wp & |
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| 214 | & * ah_wslp2 (ji,jj,jk) & |
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| 215 | & * ( akz (ji,jj,jk) & |
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| 216 | & + ah_wslp2(ji,jj,jk) & |
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| 217 | & / ( e3w (ji,jj,jk,Kmm) * e3w(ji,jj,jk,Kmm) ) ) |
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| 218 | END_3D |
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| 219 | ELSEIF( ln_traldf_lap ) THEN ! laplacian operator |
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| 220 | ! [comm_cleanup] ! DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
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| 221 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 2, jpkm1 ) |
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| 222 | ze3w_2 = e3w(ji,jj,jk,Kmm) * e3w(ji,jj,jk,Kmm) |
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| 223 | zcoef0 = rDt * ( akz(ji,jj,jk) + ah_wslp2(ji,jj,jk) / ze3w_2 ) |
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| 224 | akz(ji,jj,jk) = MAX( zcoef0 - 0.5_wp , 0._wp ) * ze3w_2 * r1_Dt |
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| 225 | END_3D |
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| 226 | ENDIF |
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| 227 | ! |
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| 228 | ELSE ! 33 flux set to zero with akz=ah_wslp2 ==>> computed in full implicit |
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| 229 | ! [comm_cleanup] ! DO_3D( 0, 0, 0, 0, 1, jpk ) |
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| 230 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 1, jpk ) |
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| 231 | akz(ji,jj,jk) = ah_wslp2(ji,jj,jk) |
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| 232 | END_3D |
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| 233 | ENDIF |
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| 234 | ! |
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| 235 | IF( ln_ldfeiv_dia .AND. cdtype == 'TRA' ) THEN |
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| 236 | zpsi_uw(:,:,:) = 0._wp |
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| 237 | zpsi_vw(:,:,:) = 0._wp |
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| 238 | |
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| 239 | DO kp = 0, 1 |
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| 240 | DO_3D( 1, 0, 1, 0, 1, jpkm1 ) |
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| 241 | ! round brackets added to fix the order of floating point operations |
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| 242 | ! needed to ensure halo 1 - halo 2 compatibility |
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| 243 | zpsi_uw(ji,jj,jk+kp) = zpsi_uw(ji,jj,jk+kp) & |
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| 244 | & + ( 0.25_wp * aeiu(ji,jj,jk) * e2u(ji,jj) * triadi_g(ji,jj,jk,1,kp) & |
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| 245 | & + 0.25_wp * aeiu(ji,jj,jk) * e2u(ji,jj) * triadi_g(ji+1,jj,jk,0,kp) & |
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| 246 | & ) ! bracket for halo 1 - halo 2 compatibility |
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| 247 | zpsi_vw(ji,jj,jk+kp) = zpsi_vw(ji,jj,jk+kp) & |
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| 248 | & + ( 0.25_wp * aeiv(ji,jj,jk) * e1v(ji,jj) * triadj_g(ji,jj,jk,1,kp) & |
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| 249 | & + 0.25_wp * aeiv(ji,jj,jk) * e1v(ji,jj) * triadj_g(ji,jj+1,jk,0,kp) & |
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| 250 | & ) ! bracket for halo 1 - halo 2 compatibility |
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| 251 | END_3D |
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| 252 | END DO |
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| 253 | CALL ldf_eiv_dia( zpsi_uw, zpsi_vw, Kmm ) |
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| 254 | ENDIF |
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| 255 | ! |
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| 256 | ENDIF !== end 1st pass only ==! |
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| 257 | ! |
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| 258 | ! ! =========== |
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| 259 | DO jn = 1, kjpt ! tracer loop |
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| 260 | ! ! =========== |
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| 261 | ! Zero fluxes for each tracer |
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| 262 | !!gm this should probably be done outside the jn loop |
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| 263 | ztfw(:,:,:) = 0._wp |
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| 264 | zftu(:,:,:) = 0._wp |
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| 265 | zftv(:,:,:) = 0._wp |
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| 266 | ! NOTE: [tiling] these are zeroed to avoid floating point exceptions due to undefined values when calculating zdxt_ip1 & zdyt_jp1 |
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| 267 | zdit(:,:,:) = 0._wp |
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| 268 | zdjt(:,:,:) = 0._wp |
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| 269 | ! |
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| 270 | ! [comm_cleanup] ! DO_3D( 1, 0, 1, 0, 1, jpkm1 ) !== before lateral T & S gradients at T-level jk ==! |
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| 271 | DO_3D( iij, iij-1, iij, iij-1, 1, jpkm1 ) !== before lateral T & S gradients at T-level jk ==! |
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| 272 | zdit(ji,jj,jk) = ( pt(ji+1,jj ,jk,jn) - pt(ji,jj,jk,jn) ) * umask(ji,jj,jk) |
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| 273 | zdjt(ji,jj,jk) = ( pt(ji ,jj+1,jk,jn) - pt(ji,jj,jk,jn) ) * vmask(ji,jj,jk) |
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| 274 | END_3D |
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| 275 | IF( ln_zps .AND. l_grad_zps ) THEN ! partial steps: correction at top/bottom ocean level |
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| 276 | ! [comm_cleanup] ! DO_2D( 1, 0, 1, 0 ) ! bottom level |
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| 277 | DO_2D( iij, iij-1, iij, iij-1 ) ! bottom level |
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| 278 | zdit(ji,jj,mbku(ji,jj)) = pgu(ji,jj,jn) |
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| 279 | zdjt(ji,jj,mbkv(ji,jj)) = pgv(ji,jj,jn) |
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| 280 | END_2D |
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| 281 | IF( ln_isfcav ) THEN ! top level (ocean cavities only) |
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| 282 | ! [comm_cleanup] ! DO_2D( 1, 0, 1, 0 ) |
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| 283 | DO_2D( iij, iij-1, iij, iij-1 ) |
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| 284 | IF( miku(ji,jj) > 1 ) zdit(ji,jj,miku(ji,jj) ) = pgui(ji,jj,jn) |
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| 285 | IF( mikv(ji,jj) > 1 ) zdjt(ji,jj,mikv(ji,jj) ) = pgvi(ji,jj,jn) |
|---|
| 286 | END_2D |
|---|
| 287 | ENDIF |
|---|
| 288 | ENDIF |
|---|
| 289 | ! |
|---|
| 290 | !!---------------------------------------------------------------------- |
|---|
| 291 | !! II - horizontal trend (full) |
|---|
| 292 | !!---------------------------------------------------------------------- |
|---|
| 293 | ! |
|---|
| 294 | DO jk = 1, jpkm1 |
|---|
| 295 | ! !== Vertical tracer gradient at level jk and jk+1 |
|---|
| 296 | ! [comm_cleanup] ! DO_2D( 1, 1, 1, 1 ) |
|---|
| 297 | DO_2D( iij, iij, iij, iij ) |
|---|
| 298 | zdkt3d(ji,jj,1) = ( pt(ji,jj,jk,jn) - pt(ji,jj,jk+1,jn) ) * tmask(ji,jj,jk+1) |
|---|
| 299 | END_2D |
|---|
| 300 | ! |
|---|
| 301 | ! ! surface boundary condition: zdkt3d(jk=0)=zdkt3d(jk=1) |
|---|
| 302 | IF( jk == 1 ) THEN ; zdkt3d(:,:,0) = zdkt3d(:,:,1) |
|---|
| 303 | ELSE |
|---|
| 304 | ! [comm_cleanup] ! DO_2D( 1, 1, 1, 1 ) |
|---|
| 305 | DO_2D( iij, iij, iij, iij ) |
|---|
| 306 | zdkt3d(ji,jj,0) = ( pt(ji,jj,jk-1,jn) - pt(ji,jj,jk,jn) ) * tmask(ji,jj,jk) |
|---|
| 307 | END_2D |
|---|
| 308 | ENDIF |
|---|
| 309 | ! |
|---|
| 310 | zaei_slp = 0._wp |
|---|
| 311 | zaei_slp_ip1 = 0._wp |
|---|
| 312 | zaei_slp_jp1 = 0._wp |
|---|
| 313 | zaei_slp1 = 0._wp |
|---|
| 314 | ! |
|---|
| 315 | IF( ln_botmix_triad ) THEN |
|---|
| 316 | DO kp = 0, 1 !== Horizontal & vertical fluxes |
|---|
| 317 | ! [comm_cleanup] ! DO_2D( 1, 0, 1, 0 ) |
|---|
| 318 | DO_2D( iij, iij-1, iij, iij-1 ) |
|---|
| 319 | ze1ur = r1_e1u(ji,jj) |
|---|
| 320 | zdxt = zdit(ji,jj,jk) * ze1ur |
|---|
| 321 | zdxt_ip1 = zdit(ji+1,jj,jk) * r1_e1u(ji+1,jj) |
|---|
| 322 | ze3wr = 1._wp / e3w(ji,jj,jk+kp,Kmm) |
|---|
| 323 | ze3wr_ip1 = 1._wp / e3w(ji+1,jj,jk+kp,Kmm) |
|---|
| 324 | zdzt = zdkt3d(ji,jj,kp) * ze3wr |
|---|
| 325 | zdzt_ip1 = zdkt3d(ji+1,jj,kp) * ze3wr_ip1 |
|---|
| 326 | ! |
|---|
| 327 | zbu = 0.25_wp * e1e2u(ji,jj) * e3u(ji,jj,jk,Kmm) |
|---|
| 328 | zbu_ip1 = 0.25_wp * e1e2u(ji+1,jj) * e3u(ji+1,jj,jk,Kmm) |
|---|
| 329 | ! ln_botmix_triad is .T. don't mask zah for bottom half cells !!gm ????? ahu is masked.... |
|---|
| 330 | zah = pahu(ji,jj,jk) |
|---|
| 331 | zah_ip1 = pahu(ji+1,jj,jk) |
|---|
| 332 | zah_slp = zah * triadi(ji,jj,jk,1,kp) |
|---|
| 333 | zah_slp_ip1 = zah_ip1 * triadi(ji+1,jj,jk,1,kp) |
|---|
| 334 | zah_slp1 = zah * triadi(ji+1,jj,jk,0,kp) |
|---|
| 335 | IF( ln_ldfeiv ) THEN |
|---|
| 336 | zaei_slp = aeiu(ji,jj,jk) * triadi_g(ji,jj,jk,1,kp) |
|---|
| 337 | zaei_slp_ip1 = aeiu(ji+1,jj,jk) * triadi_g(ji+1,jj,jk,1,kp) |
|---|
| 338 | zaei_slp1 = aeiu(ji,jj,jk) * triadi_g(ji+1,jj,jk,0,kp) |
|---|
| 339 | ENDIF |
|---|
| 340 | ! round brackets added to fix the order of floating point operations |
|---|
| 341 | ! needed to ensure halo 1 - halo 2 compatibility |
|---|
| 342 | zftu(ji ,jj,jk ) = zftu(ji ,jj,jk ) & |
|---|
| 343 | & - ( ( zah * zdxt + ( zah_slp - zaei_slp ) * zdzt ) * zbu * ze1ur & |
|---|
| 344 | & + ( zah * zdxt + zah_slp1 * zdzt_ip1 - zaei_slp1 * zdzt_ip1 ) * zbu * ze1ur & |
|---|
| 345 | & ) ! bracket for halo 1 - halo 2 compatibility |
|---|
| 346 | ztfw(ji+1,jj,jk+kp) = ztfw(ji+1,jj,jk+kp) & |
|---|
| 347 | & - ( (zah_slp_ip1 + zaei_slp_ip1) * zdxt_ip1 * zbu_ip1 * ze3wr_ip1 & |
|---|
| 348 | & + ( zah_slp1 + zaei_slp1) * zdxt * zbu * ze3wr_ip1 & |
|---|
| 349 | & ) ! bracket for halo 1 - halo 2 compatibility |
|---|
| 350 | END_2D |
|---|
| 351 | END DO |
|---|
| 352 | ! |
|---|
| 353 | DO kp = 0, 1 |
|---|
| 354 | ! [comm_cleanup] ! DO_2D( 1, 0, 1, 0 ) |
|---|
| 355 | DO_2D( iij, iij-1, iij, iij-1 ) |
|---|
| 356 | ze2vr = r1_e2v(ji,jj) |
|---|
| 357 | zdyt = zdjt(ji,jj,jk) * ze2vr |
|---|
| 358 | zdyt_jp1 = zdjt(ji,jj+1,jk) * r1_e2v(ji,jj+1) |
|---|
| 359 | ze3wr = 1._wp / e3w(ji,jj,jk+kp,Kmm) |
|---|
| 360 | ze3wr_jp1 = 1._wp / e3w(ji,jj+1,jk+kp,Kmm) |
|---|
| 361 | zdzt = zdkt3d(ji,jj,kp) * ze3wr |
|---|
| 362 | zdzt_jp1 = zdkt3d(ji,jj+1,kp) * ze3wr_jp1 |
|---|
| 363 | zbv = 0.25_wp * e1e2v(ji,jj) * e3v(ji,jj,jk,Kmm) |
|---|
| 364 | zbv_jp1 = 0.25_wp * e1e2v(ji,jj+1) * e3v(ji,jj+1,jk,Kmm) |
|---|
| 365 | ! ln_botmix_triad is .T. don't mask zah for bottom half cells !!gm ????? ahu is masked.... |
|---|
| 366 | zah = pahv(ji,jj,jk) ! pahv(ji,jj+jp,jk) ???? |
|---|
| 367 | zah_jp1 = pahv(ji,jj+1,jk) |
|---|
| 368 | zah_slp = zah * triadj(ji,jj,jk,1,kp) |
|---|
| 369 | zah_slp1 = zah * triadj(ji,jj+1,jk,0,kp) |
|---|
| 370 | zah_slp_jp1 = zah_jp1 * triadj(ji,jj+1,jk,1,kp) |
|---|
| 371 | IF( ln_ldfeiv ) THEN |
|---|
| 372 | zaei_slp = aeiv(ji,jj,jk) * triadj_g(ji,jj,jk,1,kp) |
|---|
| 373 | zaei_slp_jp1 = aeiv(ji,jj+1,jk) * triadj_g(ji,jj+1,jk,1,kp) |
|---|
| 374 | zaei_slp1 = aeiv(ji,jj,jk) * triadj_g(ji,jj+1,jk,0,kp) |
|---|
| 375 | ENDIF |
|---|
| 376 | ! round brackets added to fix the order of floating point operations |
|---|
| 377 | ! needed to ensure halo 1 - halo 2 compatibility |
|---|
| 378 | zftv(ji,jj ,jk ) = zftv(ji,jj ,jk ) & |
|---|
| 379 | & - ( ( zah * zdyt + ( zah_slp - zaei_slp ) * zdzt ) * zbv * ze2vr & |
|---|
| 380 | & + ( zah * zdyt + zah_slp1 * zdzt_jp1 - zaei_slp1 * zdzt_jp1 ) * zbv * ze2vr & |
|---|
| 381 | & ) ! bracket for halo 1 - halo 2 compatibility |
|---|
| 382 | ztfw(ji,jj+1,jk+kp) = ztfw(ji,jj+1,jk+kp) & |
|---|
| 383 | & - ( ( zah_slp_jp1 + zaei_slp_jp1) * zdyt_jp1 * zbv_jp1 * ze3wr_jp1 & |
|---|
| 384 | & + ( zah_slp1 + zaei_slp1) * zdyt * zbv * ze3wr_jp1 & |
|---|
| 385 | & ) ! bracket for halo 1 - halo 2 compatibility |
|---|
| 386 | END_2D |
|---|
| 387 | END DO |
|---|
| 388 | ! |
|---|
| 389 | ELSE |
|---|
| 390 | ! |
|---|
| 391 | DO kp = 0, 1 !== Horizontal & vertical fluxes |
|---|
| 392 | ! [comm_cleanup] ! DO_2D( 1, 0, 1, 0 ) |
|---|
| 393 | DO_2D( iij, iij-1, iij, iij-1 ) |
|---|
| 394 | ze1ur = r1_e1u(ji,jj) |
|---|
| 395 | zdxt = zdit(ji,jj,jk) * ze1ur |
|---|
| 396 | zdxt_ip1 = zdit(ji+1,jj,jk) * r1_e1u(ji+1,jj) |
|---|
| 397 | ze3wr = 1._wp / e3w(ji,jj,jk+kp,Kmm) |
|---|
| 398 | ze3wr_ip1 = 1._wp / e3w(ji+1,jj,jk+kp,Kmm) |
|---|
| 399 | zdzt = zdkt3d(ji,jj,kp) * ze3wr |
|---|
| 400 | zdzt_ip1 = zdkt3d(ji+1,jj,kp) * ze3wr_ip1 |
|---|
| 401 | ! |
|---|
| 402 | zbu = 0.25_wp * e1e2u(ji,jj) * e3u(ji,jj,jk,Kmm) |
|---|
| 403 | zbu_ip1 = 0.25_wp * e1e2u(ji+1,jj) * e3u(ji+1,jj,jk,Kmm) |
|---|
| 404 | ! ln_botmix_triad is .F. mask zah for bottom half cells |
|---|
| 405 | zah = pahu(ji,jj,jk) * umask(ji,jj,jk+kp) ! pahu(ji+ip,jj,jk) ===>> ???? |
|---|
| 406 | zah_ip1 = pahu(ji+1,jj,jk) * umask(ji+1,jj,jk+kp) |
|---|
| 407 | zah_slp = zah * triadi(ji,jj,jk,1,kp) |
|---|
| 408 | zah_slp_ip1 = zah_ip1 * triadi(ji+1,jj,jk,1,kp) |
|---|
| 409 | zah_slp1 = zah * triadi(ji+1,jj,jk,0,kp) |
|---|
| 410 | IF( ln_ldfeiv ) THEN |
|---|
| 411 | zaei_slp = aeiu(ji,jj,jk) * triadi_g(ji,jj,jk,1,kp) |
|---|
| 412 | zaei_slp_ip1 = aeiu(ji+1,jj,jk) * triadi_g(ji+1,jj,jk,1,kp) |
|---|
| 413 | zaei_slp1 = aeiu(ji,jj,jk) * triadi_g(ji+1,jj,jk,0,kp) |
|---|
| 414 | ENDIF |
|---|
| 415 | ! zftu(ji ,jj,jk ) = zftu(ji ,jj,jk ) - ( zah * zdxt + (zah_slp - zaei_slp) * zdzt ) * zbu * ze1ur - ( zah * zdxt + (zah_slp1 - zaei_slp1) * zdzt_ip1 ) * zbu * ze1ur |
|---|
| 416 | ! ztfw(ji+1,jj,jk+kp) = ztfw(ji+1,jj,jk+kp) - (zah_slp_ip1 + zaei_slp_ip1) * zdxt_ip1 * zbu_ip1 * ze3wr_ip1 - (zah_slp1 + zaei_slp1) * zdxt * zbu * ze3wr_ip1 |
|---|
| 417 | ! round brackets added to fix the order of floating point operations |
|---|
| 418 | ! needed to ensure halo 1 - halo 2 compatibility |
|---|
| 419 | zftu(ji ,jj,jk ) = zftu(ji ,jj,jk ) & |
|---|
| 420 | & - ( ( zah * zdxt + ( zah_slp - zaei_slp ) * zdzt ) * zbu * ze1ur & |
|---|
| 421 | & + ( zah * zdxt + zah_slp1 * zdzt_ip1 - zaei_slp1 * zdzt_ip1 ) * zbu * ze1ur & |
|---|
| 422 | & ) ! bracket for halo 1 - halo 2 compatibility |
|---|
| 423 | ztfw(ji+1,jj,jk+kp) = ztfw(ji+1,jj,jk+kp) & |
|---|
| 424 | & - ( (zah_slp_ip1 + zaei_slp_ip1) * zdxt_ip1 * zbu_ip1 * ze3wr_ip1 & |
|---|
| 425 | & + ( zah_slp1 + zaei_slp1) * zdxt * zbu * ze3wr_ip1 & |
|---|
| 426 | & ) ! bracket for halo 1 - halo 2 compatibility |
|---|
| 427 | END_2D |
|---|
| 428 | END DO |
|---|
| 429 | ! |
|---|
| 430 | DO kp = 0, 1 |
|---|
| 431 | ! [comm_cleanup] ! DO_2D( 1, 0, 1, 0 ) |
|---|
| 432 | DO_2D( iij, iij-1, iij, iij-1 ) |
|---|
| 433 | ze2vr = r1_e2v(ji,jj) |
|---|
| 434 | zdyt = zdjt(ji,jj,jk) * ze2vr |
|---|
| 435 | zdyt_jp1 = zdjt(ji,jj+1,jk) * r1_e2v(ji,jj+1) |
|---|
| 436 | ze3wr = 1._wp / e3w(ji,jj,jk+kp,Kmm) |
|---|
| 437 | ze3wr_jp1 = 1._wp / e3w(ji,jj+1,jk+kp,Kmm) |
|---|
| 438 | zdzt = zdkt3d(ji,jj,kp) * ze3wr |
|---|
| 439 | zdzt_jp1 = zdkt3d(ji,jj+1,kp) * ze3wr_jp1 |
|---|
| 440 | zbv = 0.25_wp * e1e2v(ji,jj) * e3v(ji,jj,jk,Kmm) |
|---|
| 441 | zbv_jp1 = 0.25_wp * e1e2v(ji,jj+1) * e3v(ji,jj+1,jk,Kmm) |
|---|
| 442 | ! ln_botmix_triad is .F. mask zah for bottom half cells |
|---|
| 443 | zah = pahv(ji,jj,jk) * vmask(ji,jj,jk+kp) ! pahv(ji,jj+jp,jk) ???? |
|---|
| 444 | zah_jp1 = pahv(ji,jj+1,jk) * vmask(ji,jj+1,jk+kp) |
|---|
| 445 | zah_slp = zah * triadj(ji,jj,jk,1,kp) |
|---|
| 446 | zah_slp1 = zah * triadj(ji,jj+1,jk,0,kp) |
|---|
| 447 | zah_slp_jp1 = zah_jp1 * triadj(ji,jj+1,jk,1,kp) |
|---|
| 448 | IF( ln_ldfeiv ) THEN |
|---|
| 449 | zaei_slp = aeiv(ji,jj,jk) * triadj_g(ji,jj,jk,1,kp) |
|---|
| 450 | zaei_slp_jp1 = aeiv(ji,jj+1,jk) * triadj_g(ji,jj+1,jk,1,kp) |
|---|
| 451 | zaei_slp1 = aeiv(ji,jj,jk) * triadj_g(ji,jj+1,jk,0,kp) |
|---|
| 452 | ENDIF |
|---|
| 453 | ! zftv(ji,jj ,jk ) = zftv(ji,jj ,jk ) - ( zah * zdyt + (zah_slp - zaei_slp) * zdzt ) * zbv * ze2vr - ( zah * zdyt + (zah_slp1 - zaei_slp1) * zdzt_jp1 ) * zbv * ze2vr |
|---|
| 454 | ! ztfw(ji,jj+1,jk+kp) = ztfw(ji,jj+1,jk+kp) - ( zah_slp_jp1 + zaei_slp_jp1) * zdyt_jp1 * zbv_jp1 * ze3wr_jp1 - (zah_slp1 + zaei_slp1) * zdyt * zbv * ze3wr_jp1 |
|---|
| 455 | ! round brackets added to fix the order of floating point operations |
|---|
| 456 | ! needed to ensure halo 1 - halo 2 compatibility |
|---|
| 457 | zftv(ji,jj ,jk ) = zftv(ji,jj ,jk ) & |
|---|
| 458 | & - ( ( zah * zdyt + ( zah_slp - zaei_slp ) * zdzt ) * zbv * ze2vr & |
|---|
| 459 | & + ( zah * zdyt + zah_slp1 * zdzt_jp1 - zaei_slp1 * zdzt_jp1 ) * zbv * ze2vr & |
|---|
| 460 | & ) ! bracket for halo 1 - halo 2 compatibility |
|---|
| 461 | ztfw(ji,jj+1,jk+kp) = ztfw(ji,jj+1,jk+kp) & |
|---|
| 462 | & - ( ( zah_slp_jp1 + zaei_slp_jp1) * zdyt_jp1 * zbv_jp1 * ze3wr_jp1 & |
|---|
| 463 | & + ( zah_slp1 + zaei_slp1) * zdyt * zbv * ze3wr_jp1 & |
|---|
| 464 | & ) ! bracket for halo 1 - halo 2 compatibility |
|---|
| 465 | END_2D |
|---|
| 466 | END DO |
|---|
| 467 | ENDIF |
|---|
| 468 | ! !== horizontal divergence and add to the general trend ==! |
|---|
| 469 | ! [comm_cleanup] ! DO_2D( 0, 0, 0, 0 ) |
|---|
| 470 | DO_2D( iij-1, iij-1, iij-1, iij-1 ) |
|---|
| 471 | ! round brackets added to fix the order of floating point operations |
|---|
| 472 | ! needed to ensure halo 1 - halo 2 compatibility |
|---|
| 473 | pt_rhs(ji,jj,jk,jn) = pt_rhs(ji,jj,jk,jn) & |
|---|
| 474 | & + zsign * ( ( zftu(ji-1,jj ,jk) - zftu(ji,jj,jk) & |
|---|
| 475 | & ) & ! bracket for halo 1 - halo 2 compatibility |
|---|
| 476 | & + ( zftv(ji,jj-1,jk) - zftv(ji,jj,jk) & |
|---|
| 477 | & ) & ! bracket for halo 1 - halo 2 compatibility |
|---|
| 478 | & ) / ( e1e2t(ji,jj) * e3t(ji,jj,jk,Kmm) ) |
|---|
| 479 | END_2D |
|---|
| 480 | ! |
|---|
| 481 | END DO |
|---|
| 482 | ! |
|---|
| 483 | ! !== add the vertical 33 flux ==! |
|---|
| 484 | IF( ln_traldf_lap ) THEN ! laplacian case: eddy coef = ah_wslp2 - akz |
|---|
| 485 | ! [comm_cleanup] ! DO_3D( 0, 0, 1, 0, 2, jpkm1 ) |
|---|
| 486 | DO_3D( iij-1, iij-1, iij-1, iij-1, 2, jpkm1 ) |
|---|
| 487 | ztfw(ji,jj,jk) = ztfw(ji,jj,jk) - e1e2t(ji,jj) / e3w(ji,jj,jk,Kmm) * tmask(ji,jj,jk) & |
|---|
| 488 | & * ( ah_wslp2(ji,jj,jk) - akz(ji,jj,jk) ) & |
|---|
| 489 | & * ( pt(ji,jj,jk-1,jn) - pt(ji,jj,jk,jn) ) |
|---|
| 490 | END_3D |
|---|
| 491 | ELSE ! bilaplacian |
|---|
| 492 | SELECT CASE( kpass ) |
|---|
| 493 | CASE( 1 ) ! 1st pass : eddy coef = ah_wslp2 |
|---|
| 494 | ! [comm_cleanup] ! DO_3D( 0, 0, 1, 0, 2, jpkm1 ) |
|---|
| 495 | DO_3D( iij-1, iij-1, iij-1, iij-1, 2, jpkm1 ) |
|---|
| 496 | ztfw(ji,jj,jk) = ztfw(ji,jj,jk) - e1e2t(ji,jj) / e3w(ji,jj,jk,Kmm) * tmask(ji,jj,jk) & |
|---|
| 497 | & * ah_wslp2(ji,jj,jk) * ( pt(ji,jj,jk-1,jn) - pt(ji,jj,jk,jn) ) |
|---|
| 498 | END_3D |
|---|
| 499 | CASE( 2 ) ! 2nd pass : eddy flux = ah_wslp2 and akz applied on pt and pt2 gradients, resp. |
|---|
| 500 | ! [comm_cleanup] ! DO_3D( 0, 0, 1, 0, 2, jpkm1 ) |
|---|
| 501 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
|---|
| 502 | ztfw(ji,jj,jk) = ztfw(ji,jj,jk) - e1e2t(ji,jj) / e3w(ji,jj,jk,Kmm) * tmask(ji,jj,jk) & |
|---|
| 503 | & * ( ah_wslp2(ji,jj,jk) * ( pt (ji,jj,jk-1,jn) - pt (ji,jj,jk,jn) ) & |
|---|
| 504 | & + akz (ji,jj,jk) * ( pt2(ji,jj,jk-1,jn) - pt2(ji,jj,jk,jn) ) ) |
|---|
| 505 | END_3D |
|---|
| 506 | END SELECT |
|---|
| 507 | ENDIF |
|---|
| 508 | ! |
|---|
| 509 | ! [comm_cleanup] ! DO_3D( 0, 0, 0, 0, 1, jpkm1 ) !== Divergence of vertical fluxes added to pta ==! |
|---|
| 510 | DO_3D( iij-1, iij-1, iij-1, iij-1, 1, jpkm1 ) !== Divergence of vertical fluxes added to pta ==! |
|---|
| 511 | pt_rhs(ji,jj,jk,jn) = pt_rhs(ji,jj,jk,jn) & |
|---|
| 512 | & + zsign * ( ztfw(ji,jj,jk+1) - ztfw(ji,jj,jk) ) & |
|---|
| 513 | & / ( e1e2t(ji,jj) * e3t(ji,jj,jk,Kmm) ) |
|---|
| 514 | END_3D |
|---|
| 515 | ! |
|---|
| 516 | IF( ( kpass == 1 .AND. ln_traldf_lap ) .OR. & !== first pass only ( laplacian) ==! |
|---|
| 517 | ( kpass == 2 .AND. ln_traldf_blp ) ) THEN !== 2nd pass (bilaplacian) ==! |
|---|
| 518 | ! |
|---|
| 519 | ! ! "Poleward" diffusive heat or salt transports (T-S case only) |
|---|
| 520 | IF( l_ptr ) CALL dia_ptr_hst( jn, 'ldf', zftv(:,:,:) ) |
|---|
| 521 | ! ! Diffusive heat transports |
|---|
| 522 | IF( l_hst ) CALL dia_ar5_hst( jn, 'ldf', zftu(:,:,:), zftv(:,:,:) ) |
|---|
| 523 | ! |
|---|
| 524 | ENDIF !== end pass selection ==! |
|---|
| 525 | ! |
|---|
| 526 | ! ! =============== |
|---|
| 527 | END DO ! end tracer loop |
|---|
| 528 | ! ! =============== |
|---|
| 529 | END SUBROUTINE tra_ldf_triad_t |
|---|
| 530 | |
|---|
| 531 | !!============================================================================== |
|---|
| 532 | END MODULE traldf_triad |
|---|
