[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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| 15 | USE phycst ! physical constants |
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| 16 | USE trc_oce ! share passive tracers/Ocean variables |
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| 17 | USE zdf_oce ! ocean vertical physics |
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| 18 | USE ldftra ! lateral physics: eddy diffusivity |
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| 19 | USE ldfslp ! lateral physics: iso-neutral slopes |
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| 20 | USE traldf_iso ! lateral diffusion (Madec operator) (tra_ldf_iso routine) |
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| 21 | USE diaptr ! poleward transport diagnostics |
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[7646] | 22 | USE diaar5 ! AR5 diagnostics |
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[6140] | 23 | USE zpshde ! partial step: hor. derivative (zps_hde routine) |
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[5758] | 24 | ! |
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[6140] | 25 | USE in_out_manager ! I/O manager |
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| 26 | USE iom ! I/O library |
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| 27 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 28 | USE lib_mpp ! MPP library |
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[2205] | 29 | |
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| 30 | IMPLICIT NONE |
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| 31 | PRIVATE |
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| 32 | |
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[5758] | 33 | PUBLIC tra_ldf_triad ! routine called by traldf.F90 |
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[2205] | 34 | |
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[5758] | 35 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE, SAVE :: zdkt3d !: vertical tracer gradient at 2 levels |
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[2371] | 36 | |
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[7646] | 37 | LOGICAL :: l_ptr ! flag to compute poleward transport |
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| 38 | LOGICAL :: l_hst ! flag to compute heat transport |
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| 39 | |
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| 40 | |
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[2205] | 41 | !! * Substitutions |
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[12377] | 42 | # include "do_loop_substitute.h90" |
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[13237] | 43 | # include "domzgr_substitute.h90" |
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[2205] | 44 | !!---------------------------------------------------------------------- |
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[9598] | 45 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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[2287] | 46 | !! $Id$ |
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[10068] | 47 | !! Software governed by the CeCILL license (see ./LICENSE) |
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[2205] | 48 | !!---------------------------------------------------------------------- |
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| 49 | CONTAINS |
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| 50 | |
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[12377] | 51 | SUBROUTINE tra_ldf_triad( kt, Kmm, kit000, cdtype, pahu, pahv, & |
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| 52 | & pgu , pgv , pgui, pgvi , & |
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| 53 | & pt , pt2, pt_rhs, kjpt, kpass ) |
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[2450] | 54 | !!---------------------------------------------------------------------- |
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[5758] | 55 | !! *** ROUTINE tra_ldf_triad *** |
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[2450] | 56 | !! |
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[3294] | 57 | !! ** Purpose : Compute the before horizontal tracer (t & s) diffusive |
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| 58 | !! trend for a laplacian tensor (ezxcept the dz[ dz[.] ] term) and |
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[2450] | 59 | !! add it to the general trend of tracer equation. |
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| 60 | !! |
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[3294] | 61 | !! ** Method : The horizontal component of the lateral diffusive trends |
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[2450] | 62 | !! is provided by a 2nd order operator rotated along neural or geopo- |
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| 63 | !! tential surfaces to which an eddy induced advection can be added |
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| 64 | !! It is computed using before fields (forward in time) and isopyc- |
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| 65 | !! nal or geopotential slopes computed in routine ldfslp. |
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| 66 | !! |
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[5758] | 67 | !! see documentation for the desciption |
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[2450] | 68 | !! |
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[12377] | 69 | !! ** Action : pt_rhs updated with the before rotated diffusion |
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[5758] | 70 | !! ah_wslp2 .... |
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| 71 | !! akz stabilizing vertical diffusivity coefficient (used in trazdf_imp) |
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[2450] | 72 | !!---------------------------------------------------------------------- |
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| 73 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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[3294] | 74 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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[2450] | 75 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 76 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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[5758] | 77 | INTEGER , INTENT(in ) :: kpass ! =1/2 first or second passage |
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[12377] | 78 | INTEGER , INTENT(in) :: Kmm ! ocean time level indices |
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[5758] | 79 | REAL(wp), DIMENSION(jpi,jpj,jpk) , INTENT(in ) :: pahu, pahv ! eddy diffusivity at u- and v-points [m2/s] |
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[5777] | 80 | REAL(wp), DIMENSION(jpi,jpj ,kjpt), INTENT(in ) :: pgu , pgv ! tracer gradient at pstep levels |
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[5758] | 81 | REAL(wp), DIMENSION(jpi,jpj, kjpt), INTENT(in ) :: pgui, pgvi ! tracer gradient at top levels |
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[12377] | 82 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: pt ! tracer (kpass=1) or laplacian of tracer (kpass=2) |
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| 83 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: pt2 ! tracer (only used in kpass=2) |
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| 84 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pt_rhs ! tracer trend |
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[2715] | 85 | ! |
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[5758] | 86 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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| 87 | INTEGER :: ip,jp,kp ! dummy loop indices |
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| 88 | INTEGER :: ierr ! local integer |
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[12489] | 89 | REAL(wp) :: zmsku, zabe1, zcof1, zcoef3 ! local scalars |
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| 90 | REAL(wp) :: zmskv, zabe2, zcof2, zcoef4 ! - - |
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| 91 | REAL(wp) :: zcoef0, ze3w_2, zsign ! - - |
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[2371] | 92 | ! |
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[2454] | 93 | REAL(wp) :: zslope_skew, zslope_iso, zslope2, zbu, zbv |
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[5758] | 94 | REAL(wp) :: ze1ur, ze2vr, ze3wr, zdxt, zdyt, zdzt |
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[2454] | 95 | REAL(wp) :: zah, zah_slp, zaei_slp |
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[9019] | 96 | REAL(wp), DIMENSION(jpi,jpj ) :: z2d ! 2D workspace |
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| 97 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdit, zdjt, zftu, zftv, ztfw, zpsi_uw, zpsi_vw ! 3D - |
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[2205] | 98 | !!---------------------------------------------------------------------- |
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[3294] | 99 | ! |
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[5758] | 100 | IF( .NOT.ALLOCATED(zdkt3d) ) THEN |
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| 101 | ALLOCATE( zdkt3d(jpi,jpj,0:1) , STAT=ierr ) |
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[10425] | 102 | CALL mpp_sum ( 'traldf_triad', ierr ) |
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[5758] | 103 | IF( ierr > 0 ) CALL ctl_stop('STOP', 'tra_ldf_triad: unable to allocate arrays') |
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[2450] | 104 | ENDIF |
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[5758] | 105 | ! |
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| 106 | IF( kpass == 1 .AND. kt == kit000 ) THEN |
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| 107 | IF(lwp) WRITE(numout,*) |
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| 108 | IF(lwp) WRITE(numout,*) 'tra_ldf_triad : rotated laplacian diffusion operator on ', cdtype |
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| 109 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~' |
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| 110 | ENDIF |
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[7646] | 111 | ! |
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| 112 | l_hst = .FALSE. |
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| 113 | l_ptr = .FALSE. |
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[12489] | 114 | IF( cdtype == 'TRA' ) THEN |
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| 115 | IF( iom_use( 'sophtldf' ) .OR. iom_use( 'sopstldf') ) l_ptr = .TRUE. |
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| 116 | IF( iom_use("uadv_heattr") .OR. iom_use("vadv_heattr") .OR. & |
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| 117 | & iom_use("uadv_salttr") .OR. iom_use("vadv_salttr") ) l_hst = .TRUE. |
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[5758] | 118 | ENDIF |
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| 119 | ! |
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| 120 | IF( kpass == 1 ) THEN ; zsign = 1._wp ! bilaplacian operator require a minus sign (eddy diffusivity >0) |
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| 121 | ELSE ; zsign = -1._wp |
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| 122 | ENDIF |
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[6140] | 123 | ! |
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[2205] | 124 | !!---------------------------------------------------------------------- |
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[5758] | 125 | !! 0 - calculate ah_wslp2, akz, and optionally zpsi_uw, zpsi_vw |
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[2371] | 126 | !!---------------------------------------------------------------------- |
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[5758] | 127 | ! |
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| 128 | IF( kpass == 1 ) THEN !== first pass only and whatever the tracer is ==! |
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| 129 | ! |
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| 130 | akz (:,:,:) = 0._wp |
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| 131 | ah_wslp2(:,:,:) = 0._wp |
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| 132 | IF( ln_ldfeiv_dia ) THEN |
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| 133 | zpsi_uw(:,:,:) = 0._wp |
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| 134 | zpsi_vw(:,:,:) = 0._wp |
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| 135 | ENDIF |
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| 136 | ! |
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| 137 | DO ip = 0, 1 ! i-k triads |
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| 138 | DO kp = 0, 1 |
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[13295] | 139 | DO_3D( 1, 0, 1, 0, 1, jpkm1 ) |
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[12377] | 140 | ze3wr = 1._wp / e3w(ji+ip,jj,jk+kp,Kmm) |
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| 141 | zbu = e1e2u(ji,jj) * e3u(ji,jj,jk,Kmm) |
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| 142 | zah = 0.25_wp * pahu(ji,jj,jk) |
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| 143 | zslope_skew = triadi_g(ji+ip,jj,jk,1-ip,kp) |
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| 144 | ! 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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| 145 | zslope2 = zslope_skew + ( gdept(ji+1,jj,jk,Kmm) - gdept(ji,jj,jk,Kmm) ) * r1_e1u(ji,jj) * umask(ji,jj,jk+kp) |
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| 146 | zslope2 = zslope2 *zslope2 |
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| 147 | ah_wslp2(ji+ip,jj,jk+kp) = ah_wslp2(ji+ip,jj,jk+kp) + zah * zbu * ze3wr * r1_e1e2t(ji+ip,jj) * zslope2 |
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| 148 | akz (ji+ip,jj,jk+kp) = akz (ji+ip,jj,jk+kp) + zah * r1_e1u(ji,jj) & |
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| 149 | & * r1_e1u(ji,jj) * umask(ji,jj,jk+kp) |
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| 150 | ! |
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| 151 | IF( ln_ldfeiv_dia ) zpsi_uw(ji,jj,jk+kp) = zpsi_uw(ji,jj,jk+kp) & |
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| 152 | & + 0.25_wp * aeiu(ji,jj,jk) * e2u(ji,jj) * zslope_skew |
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| 153 | END_3D |
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[2450] | 154 | END DO |
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| 155 | END DO |
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[5758] | 156 | ! |
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| 157 | DO jp = 0, 1 ! j-k triads |
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| 158 | DO kp = 0, 1 |
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[13295] | 159 | DO_3D( 1, 0, 1, 0, 1, jpkm1 ) |
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[12377] | 160 | ze3wr = 1.0_wp / e3w(ji,jj+jp,jk+kp,Kmm) |
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| 161 | zbv = e1e2v(ji,jj) * e3v(ji,jj,jk,Kmm) |
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| 162 | zah = 0.25_wp * pahv(ji,jj,jk) |
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| 163 | zslope_skew = triadj_g(ji,jj+jp,jk,1-jp,kp) |
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| 164 | ! Subtract s-coordinate slope at t-points to give slope rel to s surfaces |
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| 165 | ! (do this by *adding* gradient of depth) |
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| 166 | zslope2 = zslope_skew + ( gdept(ji,jj+1,jk,Kmm) - gdept(ji,jj,jk,Kmm) ) * r1_e2v(ji,jj) * vmask(ji,jj,jk+kp) |
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| 167 | zslope2 = zslope2 * zslope2 |
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| 168 | ah_wslp2(ji,jj+jp,jk+kp) = ah_wslp2(ji,jj+jp,jk+kp) + zah * zbv * ze3wr * r1_e1e2t(ji,jj+jp) * zslope2 |
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| 169 | akz (ji,jj+jp,jk+kp) = akz (ji,jj+jp,jk+kp) + zah * r1_e2v(ji,jj) & |
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| 170 | & * r1_e2v(ji,jj) * vmask(ji,jj,jk+kp) |
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| 171 | ! |
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| 172 | IF( ln_ldfeiv_dia ) zpsi_vw(ji,jj,jk+kp) = zpsi_vw(ji,jj,jk+kp) & |
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| 173 | & + 0.25 * aeiv(ji,jj,jk) * e1v(ji,jj) * zslope_skew |
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| 174 | END_3D |
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[2450] | 175 | END DO |
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| 176 | END DO |
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[5147] | 177 | ! |
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[5758] | 178 | IF( ln_traldf_msc ) THEN ! stabilizing vertical diffusivity coefficient |
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| 179 | ! |
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| 180 | IF( ln_traldf_blp ) THEN ! bilaplacian operator |
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[13295] | 181 | DO_3D( 1, 0, 1, 0, 2, jpkm1 ) |
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[13237] | 182 | akz(ji,jj,jk) = 16._wp & |
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| 183 | & * ah_wslp2 (ji,jj,jk) & |
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| 184 | & * ( akz (ji,jj,jk) & |
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| 185 | & + ah_wslp2(ji,jj,jk) & |
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| 186 | & / ( e3w (ji,jj,jk,Kmm) * e3w(ji,jj,jk,Kmm) ) ) |
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[12377] | 187 | END_3D |
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[5758] | 188 | ELSEIF( ln_traldf_lap ) THEN ! laplacian operator |
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[13295] | 189 | DO_3D( 1, 0, 1, 0, 2, jpkm1 ) |
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[12377] | 190 | ze3w_2 = e3w(ji,jj,jk,Kmm) * e3w(ji,jj,jk,Kmm) |
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[12489] | 191 | zcoef0 = rDt * ( akz(ji,jj,jk) + ah_wslp2(ji,jj,jk) / ze3w_2 ) |
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| 192 | akz(ji,jj,jk) = MAX( zcoef0 - 0.5_wp , 0._wp ) * ze3w_2 * r1_Dt |
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[12377] | 193 | END_3D |
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[5758] | 194 | ENDIF |
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| 195 | ! |
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| 196 | ELSE ! 33 flux set to zero with akz=ah_wslp2 ==>> computed in full implicit |
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| 197 | akz(:,:,:) = ah_wslp2(:,:,:) |
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[5147] | 198 | ENDIF |
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| 199 | ! |
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[12377] | 200 | IF( ln_ldfeiv_dia .AND. cdtype == 'TRA' ) CALL ldf_eiv_dia( zpsi_uw, zpsi_vw, Kmm ) |
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[5758] | 201 | ! |
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| 202 | ENDIF !== end 1st pass only ==! |
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| 203 | ! |
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| 204 | ! ! =========== |
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| 205 | DO jn = 1, kjpt ! tracer loop |
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| 206 | ! ! =========== |
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[2371] | 207 | ! Zero fluxes for each tracer |
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[5758] | 208 | !!gm this should probably be done outside the jn loop |
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[2371] | 209 | ztfw(:,:,:) = 0._wp |
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| 210 | zftu(:,:,:) = 0._wp |
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| 211 | zftv(:,:,:) = 0._wp |
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[3294] | 212 | ! |
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[13497] | 213 | DO_3D( 1, 0, 1, 0, 1, jpkm1 ) !== before lateral T & S gradients at T-level jk ==! |
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[12377] | 214 | zdit(ji,jj,jk) = ( pt(ji+1,jj ,jk,jn) - pt(ji,jj,jk,jn) ) * umask(ji,jj,jk) |
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| 215 | zdjt(ji,jj,jk) = ( pt(ji ,jj+1,jk,jn) - pt(ji,jj,jk,jn) ) * vmask(ji,jj,jk) |
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| 216 | END_3D |
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[5758] | 217 | IF( ln_zps .AND. l_grad_zps ) THEN ! partial steps: correction at top/bottom ocean level |
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[13497] | 218 | DO_2D( 1, 0, 1, 0 ) ! bottom level |
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[12377] | 219 | zdit(ji,jj,mbku(ji,jj)) = pgu(ji,jj,jn) |
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| 220 | zdjt(ji,jj,mbkv(ji,jj)) = pgv(ji,jj,jn) |
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| 221 | END_2D |
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[5758] | 222 | IF( ln_isfcav ) THEN ! top level (ocean cavities only) |
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[13295] | 223 | DO_2D( 1, 0, 1, 0 ) |
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[12377] | 224 | IF( miku(ji,jj) > 1 ) zdit(ji,jj,miku(ji,jj) ) = pgui(ji,jj,jn) |
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| 225 | IF( mikv(ji,jj) > 1 ) zdjt(ji,jj,mikv(ji,jj) ) = pgvi(ji,jj,jn) |
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| 226 | END_2D |
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[5758] | 227 | ENDIF |
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[2371] | 228 | ENDIF |
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[6140] | 229 | ! |
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[2371] | 230 | !!---------------------------------------------------------------------- |
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| 231 | !! II - horizontal trend (full) |
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| 232 | !!---------------------------------------------------------------------- |
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| 233 | ! |
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| 234 | DO jk = 1, jpkm1 |
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| 235 | ! !== Vertical tracer gradient at level jk and jk+1 |
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[12377] | 236 | zdkt3d(:,:,1) = ( pt(:,:,jk,jn) - pt(:,:,jk+1,jn) ) * tmask(:,:,jk+1) |
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[2371] | 237 | ! |
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[3294] | 238 | ! ! surface boundary condition: zdkt3d(jk=0)=zdkt3d(jk=1) |
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| 239 | IF( jk == 1 ) THEN ; zdkt3d(:,:,0) = zdkt3d(:,:,1) |
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[12377] | 240 | ELSE ; zdkt3d(:,:,0) = ( pt(:,:,jk-1,jn) - pt(:,:,jk,jn) ) * tmask(:,:,jk) |
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[2371] | 241 | ENDIF |
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[5758] | 242 | ! |
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| 243 | zaei_slp = 0._wp |
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| 244 | ! |
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| 245 | IF( ln_botmix_triad ) THEN |
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[3294] | 246 | DO ip = 0, 1 !== Horizontal & vertical fluxes |
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| 247 | DO kp = 0, 1 |
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[13295] | 248 | DO_2D( 1, 0, 1, 0 ) |
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[12377] | 249 | ze1ur = r1_e1u(ji,jj) |
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| 250 | zdxt = zdit(ji,jj,jk) * ze1ur |
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| 251 | ze3wr = 1._wp / e3w(ji+ip,jj,jk+kp,Kmm) |
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| 252 | zdzt = zdkt3d(ji+ip,jj,kp) * ze3wr |
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| 253 | zslope_skew = triadi_g(ji+ip,jj,jk,1-ip,kp) |
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| 254 | zslope_iso = triadi (ji+ip,jj,jk,1-ip,kp) |
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| 255 | ! |
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| 256 | zbu = 0.25_wp * e1e2u(ji,jj) * e3u(ji,jj,jk,Kmm) |
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| 257 | ! ln_botmix_triad is .T. don't mask zah for bottom half cells !!gm ????? ahu is masked.... |
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| 258 | zah = pahu(ji,jj,jk) |
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| 259 | zah_slp = zah * zslope_iso |
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| 260 | IF( ln_ldfeiv ) zaei_slp = aeiu(ji,jj,jk) * zslope_skew |
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| 261 | zftu(ji ,jj,jk ) = zftu(ji ,jj,jk ) - ( zah * zdxt + (zah_slp - zaei_slp) * zdzt ) * zbu * ze1ur |
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| 262 | ztfw(ji+ip,jj,jk+kp) = ztfw(ji+ip,jj,jk+kp) - ( zah_slp + zaei_slp) * zdxt * zbu * ze3wr |
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| 263 | END_2D |
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[2371] | 264 | END DO |
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| 265 | END DO |
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[6140] | 266 | ! |
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[3294] | 267 | DO jp = 0, 1 |
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| 268 | DO kp = 0, 1 |
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[13295] | 269 | DO_2D( 1, 0, 1, 0 ) |
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[12377] | 270 | ze2vr = r1_e2v(ji,jj) |
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| 271 | zdyt = zdjt(ji,jj,jk) * ze2vr |
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| 272 | ze3wr = 1._wp / e3w(ji,jj+jp,jk+kp,Kmm) |
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| 273 | zdzt = zdkt3d(ji,jj+jp,kp) * ze3wr |
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| 274 | zslope_skew = triadj_g(ji,jj+jp,jk,1-jp,kp) |
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| 275 | zslope_iso = triadj(ji,jj+jp,jk,1-jp,kp) |
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| 276 | zbv = 0.25_wp * e1e2v(ji,jj) * e3v(ji,jj,jk,Kmm) |
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| 277 | ! ln_botmix_triad is .T. don't mask zah for bottom half cells !!gm ????? ahv is masked... |
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| 278 | zah = pahv(ji,jj,jk) |
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| 279 | zah_slp = zah * zslope_iso |
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| 280 | IF( ln_ldfeiv ) zaei_slp = aeiv(ji,jj,jk) * zslope_skew |
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| 281 | zftv(ji,jj ,jk ) = zftv(ji,jj ,jk ) - ( zah * zdyt + (zah_slp - zaei_slp) * zdzt ) * zbv * ze2vr |
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| 282 | ztfw(ji,jj+jp,jk+kp) = ztfw(ji,jj+jp,jk+kp) - ( zah_slp + zaei_slp ) * zdyt * zbv * ze3wr |
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| 283 | END_2D |
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[2371] | 284 | END DO |
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| 285 | END DO |
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[6140] | 286 | ! |
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[3294] | 287 | ELSE |
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[6140] | 288 | ! |
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[5758] | 289 | DO ip = 0, 1 !== Horizontal & vertical fluxes |
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[3294] | 290 | DO kp = 0, 1 |
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[13295] | 291 | DO_2D( 1, 0, 1, 0 ) |
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[12377] | 292 | ze1ur = r1_e1u(ji,jj) |
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| 293 | zdxt = zdit(ji,jj,jk) * ze1ur |
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| 294 | ze3wr = 1._wp / e3w(ji+ip,jj,jk+kp,Kmm) |
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| 295 | zdzt = zdkt3d(ji+ip,jj,kp) * ze3wr |
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| 296 | zslope_skew = triadi_g(ji+ip,jj,jk,1-ip,kp) |
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| 297 | zslope_iso = triadi(ji+ip,jj,jk,1-ip,kp) |
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| 298 | ! |
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| 299 | zbu = 0.25_wp * e1e2u(ji,jj) * e3u(ji,jj,jk,Kmm) |
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| 300 | ! ln_botmix_triad is .F. mask zah for bottom half cells |
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| 301 | zah = pahu(ji,jj,jk) * umask(ji,jj,jk+kp) ! pahu(ji+ip,jj,jk) ===>> ???? |
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| 302 | zah_slp = zah * zslope_iso |
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| 303 | IF( ln_ldfeiv ) zaei_slp = aeiu(ji,jj,jk) * zslope_skew ! aeit(ji+ip,jj,jk)*zslope_skew |
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| 304 | zftu(ji ,jj,jk ) = zftu(ji ,jj,jk ) - ( zah * zdxt + (zah_slp - zaei_slp) * zdzt ) * zbu * ze1ur |
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| 305 | ztfw(ji+ip,jj,jk+kp) = ztfw(ji+ip,jj,jk+kp) - (zah_slp + zaei_slp) * zdxt * zbu * ze3wr |
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| 306 | END_2D |
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[3294] | 307 | END DO |
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| 308 | END DO |
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[6140] | 309 | ! |
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[3294] | 310 | DO jp = 0, 1 |
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| 311 | DO kp = 0, 1 |
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[13295] | 312 | DO_2D( 1, 0, 1, 0 ) |
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[12377] | 313 | ze2vr = r1_e2v(ji,jj) |
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| 314 | zdyt = zdjt(ji,jj,jk) * ze2vr |
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| 315 | ze3wr = 1._wp / e3w(ji,jj+jp,jk+kp,Kmm) |
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| 316 | zdzt = zdkt3d(ji,jj+jp,kp) * ze3wr |
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| 317 | zslope_skew = triadj_g(ji,jj+jp,jk,1-jp,kp) |
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| 318 | zslope_iso = triadj(ji,jj+jp,jk,1-jp,kp) |
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| 319 | zbv = 0.25_wp * e1e2v(ji,jj) * e3v(ji,jj,jk,Kmm) |
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| 320 | ! ln_botmix_triad is .F. mask zah for bottom half cells |
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| 321 | zah = pahv(ji,jj,jk) * vmask(ji,jj,jk+kp) ! pahv(ji,jj+jp,jk) ???? |
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| 322 | zah_slp = zah * zslope_iso |
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| 323 | IF( ln_ldfeiv ) zaei_slp = aeiv(ji,jj,jk) * zslope_skew ! aeit(ji,jj+jp,jk)*zslope_skew |
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| 324 | zftv(ji,jj,jk) = zftv(ji,jj,jk) - ( zah * zdyt + (zah_slp - zaei_slp) * zdzt ) * zbv * ze2vr |
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| 325 | ztfw(ji,jj+jp,jk+kp) = ztfw(ji,jj+jp,jk+kp) - (zah_slp + zaei_slp) * zdyt * zbv * ze3wr |
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| 326 | END_2D |
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[3294] | 327 | END DO |
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| 328 | END DO |
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[5758] | 329 | ENDIF |
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| 330 | ! !== horizontal divergence and add to the general trend ==! |
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[13295] | 331 | DO_2D( 0, 0, 0, 0 ) |
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[13237] | 332 | pt_rhs(ji,jj,jk,jn) = pt_rhs(ji,jj,jk,jn) & |
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| 333 | & + zsign * ( zftu(ji-1,jj ,jk) - zftu(ji,jj,jk) & |
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[12377] | 334 | & + zftv(ji,jj-1,jk) - zftv(ji,jj,jk) ) & |
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| 335 | & / ( e1e2t(ji,jj) * e3t(ji,jj,jk,Kmm) ) |
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| 336 | END_2D |
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[2450] | 337 | ! |
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| 338 | END DO |
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| 339 | ! |
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[5758] | 340 | ! !== add the vertical 33 flux ==! |
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| 341 | IF( ln_traldf_lap ) THEN ! laplacian case: eddy coef = ah_wslp2 - akz |
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[13295] | 342 | DO_3D( 1, 0, 0, 0, 2, jpkm1 ) |
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[12377] | 343 | ztfw(ji,jj,jk) = ztfw(ji,jj,jk) - e1e2t(ji,jj) / e3w(ji,jj,jk,Kmm) * tmask(ji,jj,jk) & |
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| 344 | & * ( ah_wslp2(ji,jj,jk) - akz(ji,jj,jk) ) & |
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| 345 | & * ( pt(ji,jj,jk-1,jn) - pt(ji,jj,jk,jn) ) |
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| 346 | END_3D |
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[5758] | 347 | ELSE ! bilaplacian |
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| 348 | SELECT CASE( kpass ) |
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| 349 | CASE( 1 ) ! 1st pass : eddy coef = ah_wslp2 |
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[13295] | 350 | DO_3D( 1, 0, 0, 0, 2, jpkm1 ) |
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[12377] | 351 | ztfw(ji,jj,jk) = ztfw(ji,jj,jk) - e1e2t(ji,jj) / e3w(ji,jj,jk,Kmm) * tmask(ji,jj,jk) & |
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| 352 | & * ah_wslp2(ji,jj,jk) * ( pt(ji,jj,jk-1,jn) - pt(ji,jj,jk,jn) ) |
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| 353 | END_3D |
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| 354 | CASE( 2 ) ! 2nd pass : eddy flux = ah_wslp2 and akz applied on pt and pt2 gradients, resp. |
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[13295] | 355 | DO_3D( 1, 0, 0, 0, 2, jpkm1 ) |
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[12377] | 356 | ztfw(ji,jj,jk) = ztfw(ji,jj,jk) - e1e2t(ji,jj) / e3w(ji,jj,jk,Kmm) * tmask(ji,jj,jk) & |
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| 357 | & * ( ah_wslp2(ji,jj,jk) * ( pt (ji,jj,jk-1,jn) - pt (ji,jj,jk,jn) ) & |
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| 358 | & + akz (ji,jj,jk) * ( pt2(ji,jj,jk-1,jn) - pt2(ji,jj,jk,jn) ) ) |
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| 359 | END_3D |
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[5758] | 360 | END SELECT |
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| 361 | ENDIF |
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| 362 | ! |
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[13497] | 363 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) !== Divergence of vertical fluxes added to pta ==! |
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[13237] | 364 | pt_rhs(ji,jj,jk,jn) = pt_rhs(ji,jj,jk,jn) & |
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| 365 | & + zsign * ( ztfw(ji,jj,jk+1) - ztfw(ji,jj,jk) ) & |
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[12377] | 366 | & / ( e1e2t(ji,jj) * e3t(ji,jj,jk,Kmm) ) |
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| 367 | END_3D |
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[2450] | 368 | ! |
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[5758] | 369 | IF( ( kpass == 1 .AND. ln_traldf_lap ) .OR. & !== first pass only ( laplacian) ==! |
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| 370 | ( kpass == 2 .AND. ln_traldf_blp ) ) THEN !== 2nd pass (bilaplacian) ==! |
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| 371 | ! |
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| 372 | ! ! "Poleward" diffusive heat or salt transports (T-S case only) |
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[7646] | 373 | IF( l_ptr ) CALL dia_ptr_hst( jn, 'ldf', zftv(:,:,:) ) |
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| 374 | ! ! Diffusive heat transports |
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| 375 | IF( l_hst ) CALL dia_ar5_hst( jn, 'ldf', zftu(:,:,:), zftv(:,:,:) ) |
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[5758] | 376 | ! |
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| 377 | ENDIF !== end pass selection ==! |
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[2450] | 378 | ! |
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[5758] | 379 | ! ! =============== |
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| 380 | END DO ! end tracer loop |
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| 381 | ! ! =============== |
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| 382 | END SUBROUTINE tra_ldf_triad |
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[2371] | 383 | |
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[2205] | 384 | !!============================================================================== |
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[5758] | 385 | END MODULE traldf_triad |
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