[5758] | 1 | MODULE traldf_triad |
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[2371] | 2 | !!====================================================================== |
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[5758] | 3 | !! *** MODULE traldf_triad *** |
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[2371] | 4 | !! Ocean tracers: horizontal component of the lateral tracer mixing trend |
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| 5 | !!====================================================================== |
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[5758] | 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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[2205] | 8 | !!---------------------------------------------------------------------- |
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[5758] | 9 | |
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[2205] | 10 | !!---------------------------------------------------------------------- |
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[5758] | 11 | !! tra_ldf_triad : update the tracer trend with the iso-neutral laplacian triad-operator |
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[2205] | 12 | !!---------------------------------------------------------------------- |
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[6140] | 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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[13982] | 15 | USE domutl, ONLY : is_tile |
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[6140] | 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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[7646] | 23 | USE diaar5 ! AR5 diagnostics |
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[6140] | 24 | USE zpshde ! partial step: hor. derivative (zps_hde routine) |
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[5758] | 25 | ! |
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[6140] | 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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[2205] | 30 | |
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| 31 | IMPLICIT NONE |
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| 32 | PRIVATE |
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| 33 | |
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[5758] | 34 | PUBLIC tra_ldf_triad ! routine called by traldf.F90 |
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[2205] | 35 | |
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[7646] | 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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[2205] | 40 | !! * Substitutions |
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[12377] | 41 | # include "do_loop_substitute.h90" |
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[13237] | 42 | # include "domzgr_substitute.h90" |
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[2205] | 43 | !!---------------------------------------------------------------------- |
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[9598] | 44 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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[2287] | 45 | !! $Id$ |
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[10068] | 46 | !! Software governed by the CeCILL license (see ./LICENSE) |
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[2205] | 47 | !!---------------------------------------------------------------------- |
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| 48 | CONTAINS |
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| 49 | |
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[13982] | 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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[14219] | 65 | REAL(dp), DIMENSION(:,:,:,:), INTENT(inout) :: pt_rhs ! tracer trend |
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[13982] | 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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[2450] | 76 | !!---------------------------------------------------------------------- |
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[5758] | 77 | !! *** ROUTINE tra_ldf_triad *** |
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[2450] | 78 | !! |
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[3294] | 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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[2450] | 81 | !! add it to the general trend of tracer equation. |
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| 82 | !! |
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[3294] | 83 | !! ** Method : The horizontal component of the lateral diffusive trends |
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[2450] | 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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[5758] | 89 | !! see documentation for the desciption |
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[2450] | 90 | !! |
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[12377] | 91 | !! ** Action : pt_rhs updated with the before rotated diffusion |
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[5758] | 92 | !! ah_wslp2 .... |
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| 93 | !! akz stabilizing vertical diffusivity coefficient (used in trazdf_imp) |
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[2450] | 94 | !!---------------------------------------------------------------------- |
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| 95 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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[3294] | 96 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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[2450] | 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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[5758] | 99 | INTEGER , INTENT(in ) :: kpass ! =1/2 first or second passage |
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[12377] | 100 | INTEGER , INTENT(in) :: Kmm ! ocean time level indices |
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[13982] | 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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[14219] | 107 | REAL(dp), DIMENSION(A2D_T(ktt_rhs),JPK,KJPT), INTENT(inout) :: pt_rhs ! tracer trend |
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[2715] | 108 | ! |
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[14986] | 109 | INTEGER :: ji, jj, jk, jn, kp, iij ! dummy loop indices |
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[12489] | 110 | REAL(wp) :: zcoef0, ze3w_2, zsign ! - - |
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[2371] | 111 | ! |
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[14986] | 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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[2205] | 118 | !!---------------------------------------------------------------------- |
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[3294] | 119 | ! |
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[14986] | 120 | IF( .NOT. l_istiled .OR. ntile == 1 ) THEN ! Do only on the first tile |
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[13982] | 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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[2450] | 134 | ENDIF |
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[5758] | 135 | ! |
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[14986] | 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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[5758] | 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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[14072] | 145 | ! |
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[2205] | 146 | !!---------------------------------------------------------------------- |
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[5758] | 147 | !! 0 - calculate ah_wslp2, akz, and optionally zpsi_uw, zpsi_vw |
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[2371] | 148 | !!---------------------------------------------------------------------- |
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[5758] | 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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[14986] | 152 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 1, jpk ) |
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[13982] | 153 | akz (ji,jj,jk) = 0._wp |
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| 154 | ah_wslp2(ji,jj,jk) = 0._wp |
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| 155 | END_3D |
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[5758] | 156 | ! |
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[14986] | 157 | DO kp = 0, 1 ! i-k triads |
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| 158 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 1, jpkm1 ) |
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| 159 | ze3wr = 1._wp / e3w(ji,jj,jk+kp,Kmm) |
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| 160 | zbu = e1e2u(ji,jj) * e3u(ji,jj,jk,Kmm) |
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| 161 | zbu1 = e1e2u(ji-1,jj) * e3u(ji-1,jj,jk,Kmm) |
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| 162 | zah = 0.25_wp * pahu(ji,jj,jk) |
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| 163 | zah1 = 0.25_wp * pahu(ji-1,jj,jk) |
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| 164 | ! 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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| 165 | 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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| 166 | zslope2 = zslope2 *zslope2 |
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| 167 | 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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| 168 | zslope21 = zslope21 *zslope21 |
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| 169 | ! round brackets added to fix the order of floating point operations |
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| 170 | ! needed to ensure halo 1 - halo 2 compatibility |
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| 171 | ah_wslp2(ji,jj,jk+kp) = ah_wslp2(ji,jj,jk+kp) + ( zah * zbu * ze3wr * r1_e1e2t(ji,jj) * zslope2 & |
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| 172 | & + zah1 * zbu1 * ze3wr * r1_e1e2t(ji,jj) * zslope21 & |
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| 173 | & ) ! bracket for halo 1 - halo 2 compatibility |
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| 174 | 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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| 175 | + zah1 * r1_e1u(ji-1,jj) * r1_e1u(ji-1,jj) * umask(ji-1,jj,jk+kp) & |
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| 176 | & ) ! bracket for halo 1 - halo 2 compatibility |
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| 177 | END_3D |
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[2450] | 178 | END DO |
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[5758] | 179 | ! |
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[14986] | 180 | DO kp = 0, 1 ! j-k triads |
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| 181 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 1, jpkm1 ) |
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| 182 | ze3wr = 1.0_wp / e3w(ji,jj,jk+kp,Kmm) |
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| 183 | zbv = e1e2v(ji,jj) * e3v(ji,jj,jk,Kmm) |
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| 184 | zbv1 = e1e2v(ji,jj-1) * e3v(ji,jj-1,jk,Kmm) |
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| 185 | zah = 0.25_wp * pahv(ji,jj,jk) |
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| 186 | zah1 = 0.25_wp * pahv(ji,jj-1,jk) |
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| 187 | ! Subtract s-coordinate slope at t-points to give slope rel to s surfaces |
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| 188 | ! (do this by *adding* gradient of depth) |
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| 189 | 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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| 190 | zslope2 = zslope2 * zslope2 |
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| 191 | 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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| 192 | zslope21 = zslope21 * zslope21 |
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| 193 | ! round brackets added to fix the order of floating point operations |
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| 194 | ! needed to ensure halo 1 - halo 2 compatibility |
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| 195 | ah_wslp2(ji,jj,jk+kp) = ah_wslp2(ji,jj,jk+kp) + ( zah * zbv * ze3wr * r1_e1e2t(ji,jj) * zslope2 & |
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| 196 | & + zah1 * zbv1 * ze3wr * r1_e1e2t(ji,jj) * zslope21 & |
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| 197 | & ) ! bracket for halo 1 - halo 2 compatibility |
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| 198 | 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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| 199 | & + zah1 * r1_e2v(ji,jj-1) * r1_e2v(ji,jj-1) * vmask(ji,jj-1,jk+kp) & |
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| 200 | & ) ! bracket for halo 1 - halo 2 compatibility |
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| 201 | END_3D |
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[2450] | 202 | END DO |
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[5147] | 203 | ! |
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[5758] | 204 | IF( ln_traldf_msc ) THEN ! stabilizing vertical diffusivity coefficient |
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| 205 | ! |
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| 206 | IF( ln_traldf_blp ) THEN ! bilaplacian operator |
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[14986] | 207 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 2, jpkm1 ) |
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[13237] | 208 | akz(ji,jj,jk) = 16._wp & |
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| 209 | & * ah_wslp2 (ji,jj,jk) & |
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| 210 | & * ( akz (ji,jj,jk) & |
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| 211 | & + ah_wslp2(ji,jj,jk) & |
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| 212 | & / ( e3w (ji,jj,jk,Kmm) * e3w(ji,jj,jk,Kmm) ) ) |
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[12377] | 213 | END_3D |
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[5758] | 214 | ELSEIF( ln_traldf_lap ) THEN ! laplacian operator |
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[14986] | 215 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 2, jpkm1 ) |
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[12377] | 216 | ze3w_2 = e3w(ji,jj,jk,Kmm) * e3w(ji,jj,jk,Kmm) |
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[12489] | 217 | zcoef0 = rDt * ( akz(ji,jj,jk) + ah_wslp2(ji,jj,jk) / ze3w_2 ) |
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| 218 | akz(ji,jj,jk) = MAX( zcoef0 - 0.5_wp , 0._wp ) * ze3w_2 * r1_Dt |
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[12377] | 219 | END_3D |
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[5758] | 220 | ENDIF |
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| 221 | ! |
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| 222 | ELSE ! 33 flux set to zero with akz=ah_wslp2 ==>> computed in full implicit |
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[14986] | 223 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 1, jpk ) |
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[13982] | 224 | akz(ji,jj,jk) = ah_wslp2(ji,jj,jk) |
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| 225 | END_3D |
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[5147] | 226 | ENDIF |
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| 227 | ! |
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[14986] | 228 | IF( ln_ldfeiv_dia .AND. cdtype == 'TRA' ) THEN |
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| 229 | zpsi_uw(:,:,:) = 0._wp |
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| 230 | zpsi_vw(:,:,:) = 0._wp |
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[13982] | 231 | |
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[14986] | 232 | DO kp = 0, 1 |
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| 233 | DO_3D( 1, 0, 1, 0, 1, jpkm1 ) |
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| 234 | ! round brackets added to fix the order of floating point operations |
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| 235 | ! needed to ensure halo 1 - halo 2 compatibility |
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| 236 | zpsi_uw(ji,jj,jk+kp) = zpsi_uw(ji,jj,jk+kp) & |
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| 237 | & + ( 0.25_wp * aeiu(ji,jj,jk) * e2u(ji,jj) * triadi_g(ji,jj,jk,1,kp) & |
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| 238 | & + 0.25_wp * aeiu(ji,jj,jk) * e2u(ji,jj) * triadi_g(ji+1,jj,jk,0,kp) & |
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| 239 | & ) ! bracket for halo 1 - halo 2 compatibility |
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| 240 | zpsi_vw(ji,jj,jk+kp) = zpsi_vw(ji,jj,jk+kp) & |
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| 241 | & + ( 0.25_wp * aeiv(ji,jj,jk) * e1v(ji,jj) * triadj_g(ji,jj,jk,1,kp) & |
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| 242 | & + 0.25_wp * aeiv(ji,jj,jk) * e1v(ji,jj) * triadj_g(ji,jj+1,jk,0,kp) & |
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| 243 | & ) ! bracket for halo 1 - halo 2 compatibility |
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| 244 | END_3D |
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| 245 | END DO |
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| 246 | CALL ldf_eiv_dia( zpsi_uw, zpsi_vw, Kmm ) |
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[13982] | 247 | ENDIF |
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[5758] | 248 | ! |
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| 249 | ENDIF !== end 1st pass only ==! |
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| 250 | ! |
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| 251 | ! ! =========== |
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| 252 | DO jn = 1, kjpt ! tracer loop |
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| 253 | ! ! =========== |
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[2371] | 254 | ! Zero fluxes for each tracer |
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[5758] | 255 | !!gm this should probably be done outside the jn loop |
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[2371] | 256 | ztfw(:,:,:) = 0._wp |
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| 257 | zftu(:,:,:) = 0._wp |
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| 258 | zftv(:,:,:) = 0._wp |
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[14986] | 259 | zdit(:,:,:) = 0._wp |
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| 260 | zdjt(:,:,:) = 0._wp |
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[3294] | 261 | ! |
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[14986] | 262 | DO_3D( iij, iij-1, iij, iij-1, 1, jpkm1 ) !== before lateral T & S gradients at T-level jk ==! |
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[12377] | 263 | zdit(ji,jj,jk) = ( pt(ji+1,jj ,jk,jn) - pt(ji,jj,jk,jn) ) * umask(ji,jj,jk) |
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| 264 | zdjt(ji,jj,jk) = ( pt(ji ,jj+1,jk,jn) - pt(ji,jj,jk,jn) ) * vmask(ji,jj,jk) |
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| 265 | END_3D |
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[5758] | 266 | IF( ln_zps .AND. l_grad_zps ) THEN ! partial steps: correction at top/bottom ocean level |
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[14986] | 267 | DO_2D( iij, iij-1, iij, iij-1 ) ! bottom level |
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[12377] | 268 | zdit(ji,jj,mbku(ji,jj)) = pgu(ji,jj,jn) |
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| 269 | zdjt(ji,jj,mbkv(ji,jj)) = pgv(ji,jj,jn) |
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| 270 | END_2D |
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[5758] | 271 | IF( ln_isfcav ) THEN ! top level (ocean cavities only) |
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[14986] | 272 | DO_2D( iij, iij-1, iij, iij-1 ) |
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[14072] | 273 | IF( miku(ji,jj) > 1 ) zdit(ji,jj,miku(ji,jj) ) = pgui(ji,jj,jn) |
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| 274 | IF( mikv(ji,jj) > 1 ) zdjt(ji,jj,mikv(ji,jj) ) = pgvi(ji,jj,jn) |
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[12377] | 275 | END_2D |
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[5758] | 276 | ENDIF |
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[2371] | 277 | ENDIF |
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[6140] | 278 | ! |
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[2371] | 279 | !!---------------------------------------------------------------------- |
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| 280 | !! II - horizontal trend (full) |
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| 281 | !!---------------------------------------------------------------------- |
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| 282 | ! |
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| 283 | DO jk = 1, jpkm1 |
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| 284 | ! !== Vertical tracer gradient at level jk and jk+1 |
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[14986] | 285 | DO_2D( iij, iij, iij, iij ) |
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[13982] | 286 | zdkt3d(ji,jj,1) = ( pt(ji,jj,jk,jn) - pt(ji,jj,jk+1,jn) ) * tmask(ji,jj,jk+1) |
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| 287 | END_2D |
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[2371] | 288 | ! |
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[3294] | 289 | ! ! surface boundary condition: zdkt3d(jk=0)=zdkt3d(jk=1) |
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| 290 | IF( jk == 1 ) THEN ; zdkt3d(:,:,0) = zdkt3d(:,:,1) |
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[13982] | 291 | ELSE |
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[14986] | 292 | DO_2D( iij, iij, iij, iij ) |
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[13982] | 293 | zdkt3d(ji,jj,0) = ( pt(ji,jj,jk-1,jn) - pt(ji,jj,jk,jn) ) * tmask(ji,jj,jk) |
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| 294 | END_2D |
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[2371] | 295 | ENDIF |
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[5758] | 296 | ! |
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| 297 | zaei_slp = 0._wp |
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[14986] | 298 | zaei_slp_ip1 = 0._wp |
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| 299 | zaei_slp_jp1 = 0._wp |
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| 300 | zaei_slp1 = 0._wp |
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[5758] | 301 | ! |
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| 302 | IF( ln_botmix_triad ) THEN |
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[14986] | 303 | DO kp = 0, 1 !== Horizontal & vertical fluxes |
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| 304 | DO_2D( iij, iij-1, iij, iij-1 ) |
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| 305 | ze1ur = r1_e1u(ji,jj) |
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| 306 | zdxt = zdit(ji,jj,jk) * ze1ur |
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| 307 | zdxt_ip1 = zdit(ji+1,jj,jk) * r1_e1u(ji+1,jj) |
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| 308 | ze3wr = 1._wp / e3w(ji,jj,jk+kp,Kmm) |
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| 309 | ze3wr_ip1 = 1._wp / e3w(ji+1,jj,jk+kp,Kmm) |
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| 310 | zdzt = zdkt3d(ji,jj,kp) * ze3wr |
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| 311 | zdzt_ip1 = zdkt3d(ji+1,jj,kp) * ze3wr_ip1 |
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| 312 | ! |
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| 313 | zbu = 0.25_wp * e1e2u(ji,jj) * e3u(ji,jj,jk,Kmm) |
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| 314 | zbu_ip1 = 0.25_wp * e1e2u(ji+1,jj) * e3u(ji+1,jj,jk,Kmm) |
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| 315 | ! ln_botmix_triad is .T. don't mask zah for bottom half cells !!gm ????? ahu is masked.... |
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| 316 | zah = pahu(ji,jj,jk) |
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| 317 | zah_ip1 = pahu(ji+1,jj,jk) |
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| 318 | zah_slp = zah * triadi(ji,jj,jk,1,kp) |
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| 319 | zah_slp_ip1 = zah_ip1 * triadi(ji+1,jj,jk,1,kp) |
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| 320 | zah_slp1 = zah * triadi(ji+1,jj,jk,0,kp) |
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| 321 | IF( ln_ldfeiv ) THEN |
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| 322 | zaei_slp = aeiu(ji,jj,jk) * triadi_g(ji,jj,jk,1,kp) |
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| 323 | zaei_slp_ip1 = aeiu(ji+1,jj,jk) * triadi_g(ji+1,jj,jk,1,kp) |
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| 324 | zaei_slp1 = aeiu(ji,jj,jk) * triadi_g(ji+1,jj,jk,0,kp) |
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| 325 | ENDIF |
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| 326 | ! round brackets added to fix the order of floating point operations |
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| 327 | ! needed to ensure halo 1 - halo 2 compatibility |
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| 328 | zftu(ji ,jj,jk ) = zftu(ji ,jj,jk ) & |
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| 329 | & - ( ( zah * zdxt + ( zah_slp - zaei_slp ) * zdzt ) * zbu * ze1ur & |
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| 330 | & + ( zah * zdxt + zah_slp1 * zdzt_ip1 - zaei_slp1 * zdzt_ip1 ) * zbu * ze1ur & |
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| 331 | & ) ! bracket for halo 1 - halo 2 compatibility |
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| 332 | ztfw(ji+1,jj,jk+kp) = ztfw(ji+1,jj,jk+kp) & |
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| 333 | & - ( (zah_slp_ip1 + zaei_slp_ip1) * zdxt_ip1 * zbu_ip1 * ze3wr_ip1 & |
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| 334 | & + ( zah_slp1 + zaei_slp1) * zdxt * zbu * ze3wr_ip1 & |
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| 335 | & ) ! bracket for halo 1 - halo 2 compatibility |
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| 336 | END_2D |
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[2371] | 337 | END DO |
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[6140] | 338 | ! |
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[14986] | 339 | DO kp = 0, 1 |
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| 340 | DO_2D( iij, iij-1, iij, iij-1 ) |
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| 341 | ze2vr = r1_e2v(ji,jj) |
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| 342 | zdyt = zdjt(ji,jj,jk) * ze2vr |
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| 343 | zdyt_jp1 = zdjt(ji,jj+1,jk) * r1_e2v(ji,jj+1) |
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| 344 | ze3wr = 1._wp / e3w(ji,jj,jk+kp,Kmm) |
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| 345 | ze3wr_jp1 = 1._wp / e3w(ji,jj+1,jk+kp,Kmm) |
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| 346 | zdzt = zdkt3d(ji,jj,kp) * ze3wr |
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| 347 | zdzt_jp1 = zdkt3d(ji,jj+1,kp) * ze3wr_jp1 |
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| 348 | zbv = 0.25_wp * e1e2v(ji,jj) * e3v(ji,jj,jk,Kmm) |
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| 349 | zbv_jp1 = 0.25_wp * e1e2v(ji,jj+1) * e3v(ji,jj+1,jk,Kmm) |
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| 350 | ! ln_botmix_triad is .T. don't mask zah for bottom half cells !!gm ????? ahu is masked.... |
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| 351 | zah = pahv(ji,jj,jk) ! pahv(ji,jj+jp,jk) ???? |
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| 352 | zah_jp1 = pahv(ji,jj+1,jk) |
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| 353 | zah_slp = zah * triadj(ji,jj,jk,1,kp) |
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| 354 | zah_slp1 = zah * triadj(ji,jj+1,jk,0,kp) |
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| 355 | zah_slp_jp1 = zah_jp1 * triadj(ji,jj+1,jk,1,kp) |
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| 356 | IF( ln_ldfeiv ) THEN |
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| 357 | zaei_slp = aeiv(ji,jj,jk) * triadj_g(ji,jj,jk,1,kp) |
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| 358 | zaei_slp_jp1 = aeiv(ji,jj+1,jk) * triadj_g(ji,jj+1,jk,1,kp) |
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| 359 | zaei_slp1 = aeiv(ji,jj,jk) * triadj_g(ji,jj+1,jk,0,kp) |
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| 360 | ENDIF |
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| 361 | ! round brackets added to fix the order of floating point operations |
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| 362 | ! needed to ensure halo 1 - halo 2 compatibility |
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| 363 | zftv(ji,jj ,jk ) = zftv(ji,jj ,jk ) & |
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| 364 | & - ( ( zah * zdyt + ( zah_slp - zaei_slp ) * zdzt ) * zbv * ze2vr & |
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| 365 | & + ( zah * zdyt + zah_slp1 * zdzt_jp1 - zaei_slp1 * zdzt_jp1 ) * zbv * ze2vr & |
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| 366 | & ) ! bracket for halo 1 - halo 2 compatibility |
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| 367 | ztfw(ji,jj+1,jk+kp) = ztfw(ji,jj+1,jk+kp) & |
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| 368 | & - ( ( zah_slp_jp1 + zaei_slp_jp1) * zdyt_jp1 * zbv_jp1 * ze3wr_jp1 & |
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| 369 | & + ( zah_slp1 + zaei_slp1) * zdyt * zbv * ze3wr_jp1 & |
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| 370 | & ) ! bracket for halo 1 - halo 2 compatibility |
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| 371 | END_2D |
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[2371] | 372 | END DO |
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[6140] | 373 | ! |
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[3294] | 374 | ELSE |
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[6140] | 375 | ! |
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[14986] | 376 | DO kp = 0, 1 !== Horizontal & vertical fluxes |
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| 377 | DO_2D( iij, iij-1, iij, iij-1 ) |
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| 378 | ze1ur = r1_e1u(ji,jj) |
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| 379 | zdxt = zdit(ji,jj,jk) * ze1ur |
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| 380 | zdxt_ip1 = zdit(ji+1,jj,jk) * r1_e1u(ji+1,jj) |
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| 381 | ze3wr = 1._wp / e3w(ji,jj,jk+kp,Kmm) |
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| 382 | ze3wr_ip1 = 1._wp / e3w(ji+1,jj,jk+kp,Kmm) |
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| 383 | zdzt = zdkt3d(ji,jj,kp) * ze3wr |
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| 384 | zdzt_ip1 = zdkt3d(ji+1,jj,kp) * ze3wr_ip1 |
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| 385 | ! |
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| 386 | zbu = 0.25_wp * e1e2u(ji,jj) * e3u(ji,jj,jk,Kmm) |
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| 387 | zbu_ip1 = 0.25_wp * e1e2u(ji+1,jj) * e3u(ji+1,jj,jk,Kmm) |
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| 388 | ! ln_botmix_triad is .F. mask zah for bottom half cells |
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| 389 | zah = pahu(ji,jj,jk) * umask(ji,jj,jk+kp) ! pahu(ji+ip,jj,jk) ===>> ???? |
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| 390 | zah_ip1 = pahu(ji+1,jj,jk) * umask(ji+1,jj,jk+kp) |
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| 391 | zah_slp = zah * triadi(ji,jj,jk,1,kp) |
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| 392 | zah_slp_ip1 = zah_ip1 * triadi(ji+1,jj,jk,1,kp) |
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| 393 | zah_slp1 = zah * triadi(ji+1,jj,jk,0,kp) |
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| 394 | IF( ln_ldfeiv ) THEN |
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| 395 | zaei_slp = aeiu(ji,jj,jk) * triadi_g(ji,jj,jk,1,kp) |
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| 396 | zaei_slp_ip1 = aeiu(ji+1,jj,jk) * triadi_g(ji+1,jj,jk,1,kp) |
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| 397 | zaei_slp1 = aeiu(ji,jj,jk) * triadi_g(ji+1,jj,jk,0,kp) |
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| 398 | ENDIF |
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| 399 | ! round brackets added to fix the order of floating point operations |
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| 400 | ! needed to ensure halo 1 - halo 2 compatibility |
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| 401 | zftu(ji ,jj,jk ) = zftu(ji ,jj,jk ) & |
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| 402 | & - ( ( zah * zdxt + ( zah_slp - zaei_slp ) * zdzt ) * zbu * ze1ur & |
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| 403 | & + ( zah * zdxt + zah_slp1 * zdzt_ip1 - zaei_slp1 * zdzt_ip1 ) * zbu * ze1ur & |
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| 404 | & ) ! bracket for halo 1 - halo 2 compatibility |
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| 405 | ztfw(ji+1,jj,jk+kp) = ztfw(ji+1,jj,jk+kp) & |
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| 406 | & - ( (zah_slp_ip1 + zaei_slp_ip1) * zdxt_ip1 * zbu_ip1 * ze3wr_ip1 & |
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| 407 | & + ( zah_slp1 + zaei_slp1) * zdxt * zbu * ze3wr_ip1 & |
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| 408 | & ) ! bracket for halo 1 - halo 2 compatibility |
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| 409 | END_2D |
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[3294] | 410 | END DO |
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[6140] | 411 | ! |
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[14986] | 412 | DO kp = 0, 1 |
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| 413 | DO_2D( iij, iij-1, iij, iij-1 ) |
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| 414 | ze2vr = r1_e2v(ji,jj) |
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| 415 | zdyt = zdjt(ji,jj,jk) * ze2vr |
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| 416 | zdyt_jp1 = zdjt(ji,jj+1,jk) * r1_e2v(ji,jj+1) |
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| 417 | ze3wr = 1._wp / e3w(ji,jj,jk+kp,Kmm) |
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| 418 | ze3wr_jp1 = 1._wp / e3w(ji,jj+1,jk+kp,Kmm) |
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| 419 | zdzt = zdkt3d(ji,jj,kp) * ze3wr |
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| 420 | zdzt_jp1 = zdkt3d(ji,jj+1,kp) * ze3wr_jp1 |
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| 421 | zbv = 0.25_wp * e1e2v(ji,jj) * e3v(ji,jj,jk,Kmm) |
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| 422 | zbv_jp1 = 0.25_wp * e1e2v(ji,jj+1) * e3v(ji,jj+1,jk,Kmm) |
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| 423 | ! ln_botmix_triad is .F. mask zah for bottom half cells |
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| 424 | zah = pahv(ji,jj,jk) * vmask(ji,jj,jk+kp) ! pahv(ji,jj+jp,jk) ???? |
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| 425 | zah_jp1 = pahv(ji,jj+1,jk) * vmask(ji,jj+1,jk+kp) |
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| 426 | zah_slp = zah * triadj(ji,jj,jk,1,kp) |
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| 427 | zah_slp1 = zah * triadj(ji,jj+1,jk,0,kp) |
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| 428 | zah_slp_jp1 = zah_jp1 * triadj(ji,jj+1,jk,1,kp) |
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| 429 | IF( ln_ldfeiv ) THEN |
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| 430 | zaei_slp = aeiv(ji,jj,jk) * triadj_g(ji,jj,jk,1,kp) |
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| 431 | zaei_slp_jp1 = aeiv(ji,jj+1,jk) * triadj_g(ji,jj+1,jk,1,kp) |
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| 432 | zaei_slp1 = aeiv(ji,jj,jk) * triadj_g(ji,jj+1,jk,0,kp) |
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| 433 | ENDIF |
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| 434 | ! round brackets added to fix the order of floating point operations |
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| 435 | ! needed to ensure halo 1 - halo 2 compatibility |
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| 436 | zftv(ji,jj ,jk ) = zftv(ji,jj ,jk ) & |
---|
| 437 | & - ( ( zah * zdyt + ( zah_slp - zaei_slp ) * zdzt ) * zbv * ze2vr & |
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| 438 | & + ( zah * zdyt + zah_slp1 * zdzt_jp1 - zaei_slp1 * zdzt_jp1 ) * zbv * ze2vr & |
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| 439 | & ) ! bracket for halo 1 - halo 2 compatibility |
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| 440 | ztfw(ji,jj+1,jk+kp) = ztfw(ji,jj+1,jk+kp) & |
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| 441 | & - ( ( zah_slp_jp1 + zaei_slp_jp1) * zdyt_jp1 * zbv_jp1 * ze3wr_jp1 & |
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| 442 | & + ( zah_slp1 + zaei_slp1) * zdyt * zbv * ze3wr_jp1 & |
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| 443 | & ) ! bracket for halo 1 - halo 2 compatibility |
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| 444 | END_2D |
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[3294] | 445 | END DO |
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[5758] | 446 | ENDIF |
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| 447 | ! !== horizontal divergence and add to the general trend ==! |
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[14986] | 448 | DO_2D( iij-1, iij-1, iij-1, iij-1 ) |
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| 449 | ! round brackets added to fix the order of floating point operations |
---|
| 450 | ! needed to ensure halo 1 - halo 2 compatibility |
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| 451 | pt_rhs(ji,jj,jk,jn) = pt_rhs(ji,jj,jk,jn) & |
---|
| 452 | & + zsign * ( ( zftu(ji-1,jj ,jk) - zftu(ji,jj,jk) & |
---|
| 453 | & ) & ! bracket for halo 1 - halo 2 compatibility |
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| 454 | & + ( zftv(ji,jj-1,jk) - zftv(ji,jj,jk) & |
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| 455 | & ) & ! bracket for halo 1 - halo 2 compatibility |
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| 456 | & ) / ( e1e2t(ji,jj) * e3t(ji,jj,jk,Kmm) ) |
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[12377] | 457 | END_2D |
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[2450] | 458 | ! |
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| 459 | END DO |
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| 460 | ! |
---|
[5758] | 461 | ! !== add the vertical 33 flux ==! |
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| 462 | IF( ln_traldf_lap ) THEN ! laplacian case: eddy coef = ah_wslp2 - akz |
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[14986] | 463 | DO_3D( iij-1, iij-1, iij-1, iij-1, 2, jpkm1 ) |
---|
[12377] | 464 | ztfw(ji,jj,jk) = ztfw(ji,jj,jk) - e1e2t(ji,jj) / e3w(ji,jj,jk,Kmm) * tmask(ji,jj,jk) & |
---|
| 465 | & * ( ah_wslp2(ji,jj,jk) - akz(ji,jj,jk) ) & |
---|
| 466 | & * ( pt(ji,jj,jk-1,jn) - pt(ji,jj,jk,jn) ) |
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| 467 | END_3D |
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[14072] | 468 | ELSE ! bilaplacian |
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[5758] | 469 | SELECT CASE( kpass ) |
---|
| 470 | CASE( 1 ) ! 1st pass : eddy coef = ah_wslp2 |
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[14986] | 471 | DO_3D( iij-1, iij-1, iij-1, iij-1, 2, jpkm1 ) |
---|
[12377] | 472 | ztfw(ji,jj,jk) = ztfw(ji,jj,jk) - e1e2t(ji,jj) / e3w(ji,jj,jk,Kmm) * tmask(ji,jj,jk) & |
---|
| 473 | & * ah_wslp2(ji,jj,jk) * ( pt(ji,jj,jk-1,jn) - pt(ji,jj,jk,jn) ) |
---|
| 474 | END_3D |
---|
| 475 | CASE( 2 ) ! 2nd pass : eddy flux = ah_wslp2 and akz applied on pt and pt2 gradients, resp. |
---|
[14986] | 476 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
---|
[12377] | 477 | ztfw(ji,jj,jk) = ztfw(ji,jj,jk) - e1e2t(ji,jj) / e3w(ji,jj,jk,Kmm) * tmask(ji,jj,jk) & |
---|
| 478 | & * ( ah_wslp2(ji,jj,jk) * ( pt (ji,jj,jk-1,jn) - pt (ji,jj,jk,jn) ) & |
---|
| 479 | & + akz (ji,jj,jk) * ( pt2(ji,jj,jk-1,jn) - pt2(ji,jj,jk,jn) ) ) |
---|
| 480 | END_3D |
---|
[14072] | 481 | END SELECT |
---|
[5758] | 482 | ENDIF |
---|
| 483 | ! |
---|
[14986] | 484 | DO_3D( iij-1, iij-1, iij-1, iij-1, 1, jpkm1 ) !== Divergence of vertical fluxes added to pta ==! |
---|
[13237] | 485 | pt_rhs(ji,jj,jk,jn) = pt_rhs(ji,jj,jk,jn) & |
---|
| 486 | & + zsign * ( ztfw(ji,jj,jk+1) - ztfw(ji,jj,jk) ) & |
---|
[12377] | 487 | & / ( e1e2t(ji,jj) * e3t(ji,jj,jk,Kmm) ) |
---|
| 488 | END_3D |
---|
[2450] | 489 | ! |
---|
[5758] | 490 | IF( ( kpass == 1 .AND. ln_traldf_lap ) .OR. & !== first pass only ( laplacian) ==! |
---|
| 491 | ( kpass == 2 .AND. ln_traldf_blp ) ) THEN !== 2nd pass (bilaplacian) ==! |
---|
| 492 | ! |
---|
| 493 | ! ! "Poleward" diffusive heat or salt transports (T-S case only) |
---|
[7646] | 494 | IF( l_ptr ) CALL dia_ptr_hst( jn, 'ldf', zftv(:,:,:) ) |
---|
| 495 | ! ! Diffusive heat transports |
---|
| 496 | IF( l_hst ) CALL dia_ar5_hst( jn, 'ldf', zftu(:,:,:), zftv(:,:,:) ) |
---|
[5758] | 497 | ! |
---|
| 498 | ENDIF !== end pass selection ==! |
---|
[2450] | 499 | ! |
---|
[5758] | 500 | ! ! =============== |
---|
| 501 | END DO ! end tracer loop |
---|
| 502 | ! ! =============== |
---|
[13982] | 503 | END SUBROUTINE tra_ldf_triad_t |
---|
[2371] | 504 | |
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[2205] | 505 | !!============================================================================== |
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[5758] | 506 | END MODULE traldf_triad |
---|