[3] | 1 | MODULE traldf_iso |
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[503] | 2 | !!====================================================================== |
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[457] | 3 | !! *** MODULE traldf_iso *** |
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[2024] | 4 | !! Ocean tracers: horizontal component of the lateral tracer mixing trend |
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[503] | 5 | !!====================================================================== |
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[2104] | 6 | !! History : OPA ! 1994-08 (G. Madec, M. Imbard) |
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| 7 | !! 8.0 ! 1997-05 (G. Madec) split into traldf and trazdf |
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| 8 | !! NEMO ! 2002-08 (G. Madec) Free form, F90 |
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| 9 | !! 1.0 ! 2005-11 (G. Madec) merge traldf and trazdf :-) |
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| 10 | !! 3.3 ! 2010-09 (C. Ethe, G. Madec) Merge TRA-TRC |
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[503] | 11 | !!---------------------------------------------------------------------- |
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[457] | 12 | #if defined key_ldfslp || defined key_esopa |
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[3] | 13 | !!---------------------------------------------------------------------- |
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[457] | 14 | !! 'key_ldfslp' slope of the lateral diffusive direction |
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[3] | 15 | !!---------------------------------------------------------------------- |
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[457] | 16 | !! tra_ldf_iso : update the tracer trend with the horizontal |
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| 17 | !! component of a iso-neutral laplacian operator |
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| 18 | !! and with the vertical part of |
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| 19 | !! the isopycnal or geopotential s-coord. operator |
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[3] | 20 | !!---------------------------------------------------------------------- |
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[457] | 21 | USE oce ! ocean dynamics and active tracers |
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| 22 | USE dom_oce ! ocean space and time domain |
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[74] | 23 | USE ldftra_oce ! ocean active tracers: lateral physics |
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[457] | 24 | USE zdf_oce ! ocean vertical physics |
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[3] | 25 | USE in_out_manager ! I/O manager |
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[1756] | 26 | USE iom ! |
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[3] | 27 | USE ldfslp ! iso-neutral slopes |
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[132] | 28 | USE diaptr ! poleward transport diagnostics |
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[2082] | 29 | USE trc_oce ! share passive tracers/Ocean variables |
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[1756] | 30 | #if defined key_diaar5 |
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| 31 | USE phycst ! physical constants |
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| 32 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 33 | #endif |
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[3] | 34 | |
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| 35 | IMPLICIT NONE |
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| 36 | PRIVATE |
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| 37 | |
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[503] | 38 | PUBLIC tra_ldf_iso ! routine called by step.F90 |
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[3] | 39 | |
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| 40 | !! * Substitutions |
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| 41 | # include "domzgr_substitute.h90" |
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| 42 | # include "ldftra_substitute.h90" |
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| 43 | # include "vectopt_loop_substitute.h90" |
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| 44 | !!---------------------------------------------------------------------- |
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[2034] | 45 | !! NEMO/OPA 3.3 , LOCEAN-IPSL (2010) |
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[2104] | 46 | !! $Id$ |
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[2236] | 47 | !! Software governed by the CeCILL licence (NEMOGCM/License_CeCILL.txt) |
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[247] | 48 | !!---------------------------------------------------------------------- |
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[457] | 49 | |
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[3] | 50 | CONTAINS |
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| 51 | |
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[2034] | 52 | SUBROUTINE tra_ldf_iso( kt, cdtype, pgu, pgv, & |
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| 53 | & ptb, pta, kjpt, pahtb0 ) |
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[3] | 54 | !!---------------------------------------------------------------------- |
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| 55 | !! *** ROUTINE tra_ldf_iso *** |
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[457] | 56 | !! |
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[3] | 57 | !! ** Purpose : Compute the before horizontal tracer (t & s) diffusive |
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[457] | 58 | !! trend for a laplacian tensor (ezxcept the dz[ dz[.] ] term) and |
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| 59 | !! add it to the general trend of tracer equation. |
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[3] | 60 | !! |
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| 61 | !! ** Method : The horizontal component of the lateral diffusive trends |
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| 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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[2024] | 67 | !! 1st part : masked horizontal derivative of T ( di[ t ] ) |
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[457] | 68 | !! ======== with partial cell update if ln_zps=T. |
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| 69 | !! |
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| 70 | !! 2nd part : horizontal fluxes of the lateral mixing operator |
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| 71 | !! ======== |
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[3] | 72 | !! zftu = (aht+ahtb0) e2u*e3u/e1u di[ tb ] |
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| 73 | !! - aht e2u*uslp dk[ mi(mk(tb)) ] |
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| 74 | !! zftv = (aht+ahtb0) e1v*e3v/e2v dj[ tb ] |
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| 75 | !! - aht e2u*vslp dk[ mj(mk(tb)) ] |
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| 76 | !! take the horizontal divergence of the fluxes: |
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| 77 | !! difft = 1/(e1t*e2t*e3t) { di-1[ zftu ] + dj-1[ zftv ] } |
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| 78 | !! Add this trend to the general trend (ta,sa): |
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| 79 | !! ta = ta + difft |
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| 80 | !! |
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[457] | 81 | !! 3rd part: vertical trends of the lateral mixing operator |
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| 82 | !! ======== (excluding the vertical flux proportional to dk[t] ) |
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| 83 | !! vertical fluxes associated with the rotated lateral mixing: |
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| 84 | !! zftw =-aht { e2t*wslpi di[ mi(mk(tb)) ] |
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| 85 | !! + e1t*wslpj dj[ mj(mk(tb)) ] } |
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| 86 | !! take the horizontal divergence of the fluxes: |
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| 87 | !! difft = 1/(e1t*e2t*e3t) dk[ zftw ] |
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| 88 | !! Add this trend to the general trend (ta,sa): |
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[2024] | 89 | !! pta = pta + difft |
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[3] | 90 | !! |
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[2024] | 91 | !! ** Action : Update pta arrays with the before rotated diffusion |
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[503] | 92 | !!---------------------------------------------------------------------- |
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[2024] | 93 | USE oce , zftu => ua ! use ua as workspace |
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| 94 | USE oce , zftv => va ! use va as workspace |
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[2104] | 95 | !! |
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| 96 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 97 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 98 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 99 | REAL(wp), DIMENSION(jpi,jpj ,kjpt), INTENT(in ) :: pgu, pgv ! tracer gradient at pstep levels |
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| 100 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb ! before and now tracer fields |
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| 101 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
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| 102 | REAL(wp) , INTENT(in ) :: pahtb0 ! background diffusion coef |
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| 103 | !! |
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[2024] | 104 | INTEGER :: ji, jj, jk,jn ! dummy loop indices |
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[2104] | 105 | INTEGER :: iku, ikv ! temporary integer |
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| 106 | REAL(wp) :: zmsku, zabe1, zcof1, zcoef3 ! local scalars |
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| 107 | REAL(wp) :: zmskv, zabe2, zcof2, zcoef4 ! - - |
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| 108 | REAL(wp) :: zcoef0, zbtr, ztra ! - - |
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[2024] | 109 | REAL(wp), DIMENSION(jpi,jpj) :: zdkt, zdk1t ! 2D workspace |
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[2104] | 110 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdit, zdjt, ztfw ! 3D workspace |
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[1756] | 111 | #if defined key_diaar5 |
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[2104] | 112 | REAL(wp), DIMENSION(jpi,jpj) :: z2d ! 2D workspace |
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| 113 | REAL(wp) :: zztmp ! local scalar |
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[1756] | 114 | #endif |
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[3] | 115 | !!---------------------------------------------------------------------- |
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| 116 | |
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[2104] | 117 | IF( kt == nit000 ) THEN |
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[3] | 118 | IF(lwp) WRITE(numout,*) |
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[2082] | 119 | IF(lwp) WRITE(numout,*) 'tra_ldf_iso : rotated laplacian diffusion operator on ', cdtype |
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[457] | 120 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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[3] | 121 | ENDIF |
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[2024] | 122 | ! |
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| 123 | ! ! =========== |
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| 124 | DO jn = 1, kjpt ! tracer loop |
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| 125 | ! ! =========== |
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| 126 | ! |
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| 127 | !!---------------------------------------------------------------------- |
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| 128 | !! I - masked horizontal derivative |
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| 129 | !!---------------------------------------------------------------------- |
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| 130 | !!bug ajout.... why? ( 1,jpj,:) and (jpi,1,:) should be sufficient.... |
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| 131 | zdit (1,:,:) = 0.e0 ; zdit (jpi,:,:) = 0.e0 |
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| 132 | zdjt (1,:,:) = 0.e0 ; zdjt (jpi,:,:) = 0.e0 |
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| 133 | !!end |
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[3] | 134 | |
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[2024] | 135 | ! Horizontal tracer gradient |
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| 136 | DO jk = 1, jpkm1 |
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| 137 | DO jj = 1, jpjm1 |
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| 138 | DO ji = 1, fs_jpim1 ! vector opt. |
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[2034] | 139 | zdit(ji,jj,jk) = ( ptb(ji+1,jj ,jk,jn) - ptb(ji,jj,jk,jn) ) * umask(ji,jj,jk) |
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| 140 | zdjt(ji,jj,jk) = ( ptb(ji ,jj+1,jk,jn) - ptb(ji,jj,jk,jn) ) * vmask(ji,jj,jk) |
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[2024] | 141 | END DO |
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[457] | 142 | END DO |
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| 143 | END DO |
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[2024] | 144 | IF( ln_zps ) THEN ! partial steps correction at the last level |
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| 145 | DO jj = 1, jpjm1 |
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| 146 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 147 | ! last level |
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| 148 | iku = MIN( mbathy(ji,jj), mbathy(ji+1,jj ) ) - 1 |
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| 149 | ikv = MIN( mbathy(ji,jj), mbathy(ji ,jj+1) ) - 1 |
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[2034] | 150 | zdit(ji,jj,iku) = pgu(ji,jj,jn) |
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| 151 | zdjt(ji,jj,ikv) = pgv(ji,jj,jn) |
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[2024] | 152 | END DO |
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[457] | 153 | END DO |
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[3] | 154 | ENDIF |
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| 155 | |
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[2024] | 156 | !!---------------------------------------------------------------------- |
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| 157 | !! II - horizontal trend (full) |
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| 158 | !!---------------------------------------------------------------------- |
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| 159 | !CDIR PARALLEL DO PRIVATE( zdk1t ) |
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| 160 | ! ! =============== |
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| 161 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 162 | ! ! =============== |
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| 163 | ! 1. Vertical tracer gradient at level jk and jk+1 |
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| 164 | ! ------------------------------------------------ |
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| 165 | ! surface boundary condition: zdkt(jk=1)=zdkt(jk=2) |
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[2034] | 166 | zdk1t(:,:) = ( ptb(:,:,jk,jn) - ptb(:,:,jk+1,jn) ) * tmask(:,:,jk+1) |
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[2104] | 167 | ! |
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| 168 | IF( jk == 1 ) THEN ; zdkt(:,:) = zdk1t(:,:) |
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| 169 | ELSE ; zdkt(:,:) = ( ptb(:,:,jk-1,jn) - ptb(:,:,jk,jn) ) * tmask(:,:,jk) |
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[2024] | 170 | ENDIF |
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[3] | 171 | |
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[2024] | 172 | ! 2. Horizontal fluxes |
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[2104] | 173 | ! -------------------- |
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[2024] | 174 | DO jj = 1 , jpjm1 |
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| 175 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 176 | zabe1 = ( fsahtu(ji,jj,jk) + pahtb0 ) * e2u(ji,jj) * fse3u(ji,jj,jk) / e1u(ji,jj) |
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| 177 | zabe2 = ( fsahtv(ji,jj,jk) + pahtb0 ) * e1v(ji,jj) * fse3v(ji,jj,jk) / e2v(ji,jj) |
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[2104] | 178 | ! |
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[2024] | 179 | zmsku = 1. / MAX( tmask(ji+1,jj,jk ) + tmask(ji,jj,jk+1) & |
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| 180 | & + tmask(ji+1,jj,jk+1) + tmask(ji,jj,jk ), 1. ) |
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[2104] | 181 | ! |
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[2024] | 182 | zmskv = 1. / MAX( tmask(ji,jj+1,jk ) + tmask(ji,jj,jk+1) & |
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| 183 | & + tmask(ji,jj+1,jk+1) + tmask(ji,jj,jk ), 1. ) |
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[2104] | 184 | ! |
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[2024] | 185 | zcof1 = - fsahtu(ji,jj,jk) * e2u(ji,jj) * uslp(ji,jj,jk) * zmsku |
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| 186 | zcof2 = - fsahtv(ji,jj,jk) * e1v(ji,jj) * vslp(ji,jj,jk) * zmskv |
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| 187 | ! |
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| 188 | zftu(ji,jj,jk ) = ( zabe1 * zdit(ji,jj,jk) & |
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| 189 | & + zcof1 * ( zdkt (ji+1,jj) + zdk1t(ji,jj) & |
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| 190 | & + zdk1t(ji+1,jj) + zdkt (ji,jj) ) ) * umask(ji,jj,jk) |
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| 191 | zftv(ji,jj,jk) = ( zabe2 * zdjt(ji,jj,jk) & |
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| 192 | & + zcof2 * ( zdkt (ji,jj+1) + zdk1t(ji,jj) & |
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| 193 | & + zdk1t(ji,jj+1) + zdkt (ji,jj) ) ) * vmask(ji,jj,jk) |
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| 194 | END DO |
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[3] | 195 | END DO |
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| 196 | |
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[2024] | 197 | ! II.4 Second derivative (divergence) and add to the general trend |
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| 198 | ! ---------------------------------------------------------------- |
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| 199 | DO jj = 2 , jpjm1 |
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| 200 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 201 | zbtr = 1.0 / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 202 | ztra = zbtr * ( zftu(ji,jj,jk) - zftu(ji-1,jj,jk) + zftv(ji,jj,jk) - zftv(ji,jj-1,jk) ) |
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[2034] | 203 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra |
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[2024] | 204 | END DO |
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[3] | 205 | END DO |
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[2024] | 206 | ! ! =============== |
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| 207 | END DO ! End of slab |
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| 208 | ! ! =============== |
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[2104] | 209 | ! |
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| 210 | ! "Poleward" diffusive heat or salt transports (T-S case only) |
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[2024] | 211 | IF( cdtype == 'TRA' .AND. ln_diaptr .AND. ( MOD( kt, nf_ptr ) == 0 ) ) THEN |
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| 212 | IF( jn == jp_tem) pht_ldf(:) = ptr_vj( zftv(:,:,:) ) |
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| 213 | IF( jn == jp_sal) pst_ldf(:) = ptr_vj( zftv(:,:,:) ) |
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| 214 | ENDIF |
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| 215 | |
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[1756] | 216 | #if defined key_diaar5 |
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[2024] | 217 | IF( cdtype == 'TRA' .AND. jn == jp_tem ) THEN |
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| 218 | zztmp = 0.5 * rau0 * rcp |
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| 219 | z2d(:,:) = 0.e0 |
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| 220 | DO jk = 1, jpkm1 |
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| 221 | DO jj = 2, jpjm1 |
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| 222 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[2104] | 223 | z2d(ji,jj) = z2d(ji,jj) + zztmp * zftu(ji,jj,jk) & |
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| 224 | & * ( ptn(ji,jj,jk,jn) + ptn(ji+1,jj,jk,jn) ) * e1u(ji,jj) * fse3u(ji,jj,jk) |
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[2024] | 225 | END DO |
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| 226 | END DO |
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[1756] | 227 | END DO |
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[2024] | 228 | CALL lbc_lnk( z2d, 'U', -1. ) |
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| 229 | CALL iom_put( "udiff_heattr", z2d ) ! heat transport in i-direction |
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| 230 | z2d(:,:) = 0.e0 |
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| 231 | DO jk = 1, jpkm1 |
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| 232 | DO jj = 2, jpjm1 |
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| 233 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[2104] | 234 | z2d(ji,jj) = z2d(ji,jj) + zztmp * zftv(ji,jj,jk) & |
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| 235 | & * ( ptn(ji,jj,jk,jn) + ptn(ji,jj+1,jk,jn) ) * e2v(ji,jj) * fse3v(ji,jj,jk) |
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[2024] | 236 | END DO |
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| 237 | END DO |
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[1756] | 238 | END DO |
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[2024] | 239 | CALL lbc_lnk( z2d, 'V', -1. ) |
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| 240 | CALL iom_put( "vdiff_heattr", z2d ) ! heat transport in i-direction |
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| 241 | END IF |
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[1756] | 242 | #endif |
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[3] | 243 | |
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[2024] | 244 | !!---------------------------------------------------------------------- |
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| 245 | !! III - vertical trend of T & S (extra diagonal terms only) |
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| 246 | !!---------------------------------------------------------------------- |
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| 247 | |
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| 248 | ! Local constant initialization |
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| 249 | ! ----------------------------- |
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| 250 | ztfw(1,:,:) = 0.e0 ; ztfw(jpi,:,:) = 0.e0 |
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| 251 | |
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| 252 | ! Vertical fluxes |
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| 253 | ! --------------- |
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| 254 | |
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| 255 | ! Surface and bottom vertical fluxes set to zero |
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| 256 | ztfw(:,:, 1 ) = 0.e0 ; ztfw(:,:,jpk) = 0.e0 |
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| 257 | |
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| 258 | ! interior (2=<jk=<jpk-1) |
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| 259 | DO jk = 2, jpkm1 |
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| 260 | DO jj = 2, jpjm1 |
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| 261 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 262 | zcoef0 = - fsahtw(ji,jj,jk) * tmask(ji,jj,jk) |
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[2104] | 263 | ! |
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[2024] | 264 | zmsku = 1./MAX( umask(ji ,jj,jk-1) + umask(ji-1,jj,jk) & |
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| 265 | & + umask(ji-1,jj,jk-1) + umask(ji ,jj,jk), 1. ) |
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| 266 | zmskv = 1./MAX( vmask(ji,jj ,jk-1) + vmask(ji,jj-1,jk) & |
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| 267 | & + vmask(ji,jj-1,jk-1) + vmask(ji,jj ,jk), 1. ) |
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[2104] | 268 | ! |
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[2024] | 269 | zcoef3 = zcoef0 * e2t(ji,jj) * zmsku * wslpi (ji,jj,jk) |
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| 270 | zcoef4 = zcoef0 * e1t(ji,jj) * zmskv * wslpj (ji,jj,jk) |
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[2104] | 271 | ! |
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[2024] | 272 | ztfw(ji,jj,jk) = zcoef3 * ( zdit(ji ,jj ,jk-1) + zdit(ji-1,jj ,jk) & |
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| 273 | & + zdit(ji-1,jj ,jk-1) + zdit(ji ,jj ,jk) ) & |
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| 274 | & + zcoef4 * ( zdjt(ji ,jj ,jk-1) + zdjt(ji ,jj-1,jk) & |
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| 275 | & + zdjt(ji ,jj-1,jk-1) + zdjt(ji ,jj ,jk) ) |
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| 276 | END DO |
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[457] | 277 | END DO |
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| 278 | END DO |
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[2024] | 279 | |
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| 280 | |
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| 281 | ! I.5 Divergence of vertical fluxes added to the general tracer trend |
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| 282 | ! ------------------------------------------------------------------- |
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| 283 | DO jk = 1, jpkm1 |
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| 284 | DO jj = 2, jpjm1 |
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| 285 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 286 | zbtr = 1.0 / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 287 | ztra = ( ztfw(ji,jj,jk) - ztfw(ji,jj,jk+1) ) * zbtr |
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[2034] | 288 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra |
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[2024] | 289 | END DO |
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[457] | 290 | END DO |
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| 291 | END DO |
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[2024] | 292 | ! |
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[457] | 293 | END DO |
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[503] | 294 | ! |
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[3] | 295 | END SUBROUTINE tra_ldf_iso |
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| 296 | |
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| 297 | #else |
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| 298 | !!---------------------------------------------------------------------- |
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[457] | 299 | !! default option : Dummy code NO rotation of the diffusive tensor |
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[3] | 300 | !!---------------------------------------------------------------------- |
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| 301 | CONTAINS |
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| 302 | SUBROUTINE tra_ldf_iso( kt ) ! Empty routine |
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[32] | 303 | WRITE(*,*) 'tra_ldf_iso: You should not have seen this print! error?', kt |
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[3] | 304 | END SUBROUTINE tra_ldf_iso |
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| 305 | #endif |
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| 306 | |
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| 307 | !!============================================================================== |
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| 308 | END MODULE traldf_iso |
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