[3] | 1 | MODULE traldf_iso |
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[503] | 2 | !!====================================================================== |
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[457] | 3 | !! *** MODULE traldf_iso *** |
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[2528] | 4 | !! Ocean tracers: horizontal component of the lateral tracer mixing trend |
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[503] | 5 | !!====================================================================== |
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[2528] | 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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[2528] | 23 | USE trc_oce ! share passive tracers/Ocean variables |
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| 24 | USE zdf_oce ! ocean vertical physics |
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[74] | 25 | USE ldftra_oce ! ocean active tracers: lateral physics |
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[3] | 26 | USE ldfslp ! iso-neutral slopes |
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[132] | 27 | USE diaptr ! poleward transport diagnostics |
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[2528] | 28 | USE in_out_manager ! I/O manager |
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| 29 | USE iom ! I/O library |
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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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[2528] | 45 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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| 46 | !! $Id$ |
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| 47 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[247] | 48 | !!---------------------------------------------------------------------- |
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[3] | 49 | CONTAINS |
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| 50 | |
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[2528] | 51 | SUBROUTINE tra_ldf_iso( kt, cdtype, pgu, pgv, & |
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| 52 | & ptb, pta, kjpt, pahtb0 ) |
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[3] | 53 | !!---------------------------------------------------------------------- |
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| 54 | !! *** ROUTINE tra_ldf_iso *** |
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[457] | 55 | !! |
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[3] | 56 | !! ** Purpose : Compute the before horizontal tracer (t & s) diffusive |
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[457] | 57 | !! trend for a laplacian tensor (ezxcept the dz[ dz[.] ] term) and |
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| 58 | !! add it to the general trend of tracer equation. |
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[3] | 59 | !! |
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| 60 | !! ** Method : The horizontal component of the lateral diffusive trends |
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| 61 | !! is provided by a 2nd order operator rotated along neural or geopo- |
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| 62 | !! tential surfaces to which an eddy induced advection can be added |
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| 63 | !! It is computed using before fields (forward in time) and isopyc- |
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| 64 | !! nal or geopotential slopes computed in routine ldfslp. |
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| 65 | !! |
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[2528] | 66 | !! 1st part : masked horizontal derivative of T ( di[ t ] ) |
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[457] | 67 | !! ======== with partial cell update if ln_zps=T. |
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| 68 | !! |
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| 69 | !! 2nd part : horizontal fluxes of the lateral mixing operator |
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| 70 | !! ======== |
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[3] | 71 | !! zftu = (aht+ahtb0) e2u*e3u/e1u di[ tb ] |
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| 72 | !! - aht e2u*uslp dk[ mi(mk(tb)) ] |
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| 73 | !! zftv = (aht+ahtb0) e1v*e3v/e2v dj[ tb ] |
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| 74 | !! - aht e2u*vslp dk[ mj(mk(tb)) ] |
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| 75 | !! take the horizontal divergence of the fluxes: |
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| 76 | !! difft = 1/(e1t*e2t*e3t) { di-1[ zftu ] + dj-1[ zftv ] } |
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| 77 | !! Add this trend to the general trend (ta,sa): |
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| 78 | !! ta = ta + difft |
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| 79 | !! |
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[457] | 80 | !! 3rd part: vertical trends of the lateral mixing operator |
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| 81 | !! ======== (excluding the vertical flux proportional to dk[t] ) |
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| 82 | !! vertical fluxes associated with the rotated lateral mixing: |
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| 83 | !! zftw =-aht { e2t*wslpi di[ mi(mk(tb)) ] |
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| 84 | !! + e1t*wslpj dj[ mj(mk(tb)) ] } |
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| 85 | !! take the horizontal divergence of the fluxes: |
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| 86 | !! difft = 1/(e1t*e2t*e3t) dk[ zftw ] |
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| 87 | !! Add this trend to the general trend (ta,sa): |
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[2528] | 88 | !! pta = pta + difft |
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[3] | 89 | !! |
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[2528] | 90 | !! ** Action : Update pta arrays with the before rotated diffusion |
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[503] | 91 | !!---------------------------------------------------------------------- |
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[2690] | 92 | USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released |
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| 93 | USE oce , ONLY: zftu => ua , zftv => va ! (ua,va) used as workspace |
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| 94 | USE wrk_nemo, ONLY: zdkt => wrk_2d_1 , zdk1t => wrk_2d_2 , z2d => wrk_2d_3 ! 2D workspace |
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| 95 | USE wrk_nemo, ONLY: zdit => wrk_3d_1 , zdjt => wrk_3d_2 , ztfw => wrk_3d_3 ! 3D workspace |
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| 96 | ! |
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[2528] | 97 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 98 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 99 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 100 | REAL(wp), DIMENSION(jpi,jpj ,kjpt), INTENT(in ) :: pgu, pgv ! tracer gradient at pstep levels |
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| 101 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb ! before and now tracer fields |
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| 102 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
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| 103 | REAL(wp) , INTENT(in ) :: pahtb0 ! background diffusion coef |
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[2690] | 104 | ! |
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[2528] | 105 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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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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[1756] | 109 | #if defined key_diaar5 |
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[2528] | 110 | REAL(wp) :: zztmp ! local scalar |
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[1756] | 111 | #endif |
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[3] | 112 | !!---------------------------------------------------------------------- |
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| 113 | |
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[2690] | 114 | IF( wrk_in_use(3, 1,2,3) .OR. wrk_in_use(2, 1,2,3) ) THEN |
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| 115 | CALL ctl_stop('tra_ldf_iso : requested workspace array unavailable') ; RETURN |
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| 116 | ENDIF |
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[2590] | 117 | |
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[2528] | 118 | IF( kt == nit000 ) THEN |
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[3] | 119 | IF(lwp) WRITE(numout,*) |
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[2528] | 120 | IF(lwp) WRITE(numout,*) 'tra_ldf_iso : rotated laplacian diffusion operator on ', cdtype |
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[457] | 121 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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[3] | 122 | ENDIF |
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[2528] | 123 | ! |
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| 124 | ! ! =========== |
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| 125 | DO jn = 1, kjpt ! tracer loop |
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| 126 | ! ! =========== |
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| 127 | ! |
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| 128 | !!---------------------------------------------------------------------- |
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| 129 | !! I - masked horizontal derivative |
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| 130 | !!---------------------------------------------------------------------- |
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| 131 | !!bug ajout.... why? ( 1,jpj,:) and (jpi,1,:) should be sufficient.... |
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| 132 | zdit (1,:,:) = 0.e0 ; zdit (jpi,:,:) = 0.e0 |
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| 133 | zdjt (1,:,:) = 0.e0 ; zdjt (jpi,:,:) = 0.e0 |
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| 134 | !!end |
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[3] | 135 | |
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[2528] | 136 | ! Horizontal tracer gradient |
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| 137 | DO jk = 1, jpkm1 |
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| 138 | DO jj = 1, jpjm1 |
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| 139 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 140 | zdit(ji,jj,jk) = ( ptb(ji+1,jj ,jk,jn) - ptb(ji,jj,jk,jn) ) * umask(ji,jj,jk) |
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| 141 | zdjt(ji,jj,jk) = ( ptb(ji ,jj+1,jk,jn) - ptb(ji,jj,jk,jn) ) * vmask(ji,jj,jk) |
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| 142 | END DO |
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[457] | 143 | END DO |
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| 144 | END DO |
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[2528] | 145 | IF( ln_zps ) THEN ! partial steps correction at the last ocean level |
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| 146 | DO jj = 1, jpjm1 |
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| 147 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 148 | zdit(ji,jj,mbku(ji,jj)) = pgu(ji,jj,jn) |
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| 149 | zdjt(ji,jj,mbkv(ji,jj)) = pgv(ji,jj,jn) |
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| 150 | END DO |
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[457] | 151 | END DO |
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[3] | 152 | ENDIF |
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| 153 | |
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[2528] | 154 | !!---------------------------------------------------------------------- |
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| 155 | !! II - horizontal trend (full) |
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| 156 | !!---------------------------------------------------------------------- |
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| 157 | !CDIR PARALLEL DO PRIVATE( zdk1t ) |
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| 158 | ! ! =============== |
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| 159 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 160 | ! ! =============== |
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| 161 | ! 1. Vertical tracer gradient at level jk and jk+1 |
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| 162 | ! ------------------------------------------------ |
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| 163 | ! surface boundary condition: zdkt(jk=1)=zdkt(jk=2) |
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| 164 | zdk1t(:,:) = ( ptb(:,:,jk,jn) - ptb(:,:,jk+1,jn) ) * tmask(:,:,jk+1) |
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| 165 | ! |
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| 166 | IF( jk == 1 ) THEN ; zdkt(:,:) = zdk1t(:,:) |
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| 167 | ELSE ; zdkt(:,:) = ( ptb(:,:,jk-1,jn) - ptb(:,:,jk,jn) ) * tmask(:,:,jk) |
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| 168 | ENDIF |
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[3] | 169 | |
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[2528] | 170 | ! 2. Horizontal fluxes |
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| 171 | ! -------------------- |
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| 172 | DO jj = 1 , jpjm1 |
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| 173 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 174 | zabe1 = ( fsahtu(ji,jj,jk) + pahtb0 ) * e2u(ji,jj) * fse3u(ji,jj,jk) / e1u(ji,jj) |
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| 175 | zabe2 = ( fsahtv(ji,jj,jk) + pahtb0 ) * e1v(ji,jj) * fse3v(ji,jj,jk) / e2v(ji,jj) |
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| 176 | ! |
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| 177 | zmsku = 1. / MAX( tmask(ji+1,jj,jk ) + tmask(ji,jj,jk+1) & |
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| 178 | & + tmask(ji+1,jj,jk+1) + tmask(ji,jj,jk ), 1. ) |
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| 179 | ! |
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| 180 | zmskv = 1. / MAX( tmask(ji,jj+1,jk ) + tmask(ji,jj,jk+1) & |
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| 181 | & + tmask(ji,jj+1,jk+1) + tmask(ji,jj,jk ), 1. ) |
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| 182 | ! |
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| 183 | zcof1 = - fsahtu(ji,jj,jk) * e2u(ji,jj) * uslp(ji,jj,jk) * zmsku |
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| 184 | zcof2 = - fsahtv(ji,jj,jk) * e1v(ji,jj) * vslp(ji,jj,jk) * zmskv |
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| 185 | ! |
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| 186 | zftu(ji,jj,jk ) = ( zabe1 * zdit(ji,jj,jk) & |
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| 187 | & + zcof1 * ( zdkt (ji+1,jj) + zdk1t(ji,jj) & |
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| 188 | & + zdk1t(ji+1,jj) + zdkt (ji,jj) ) ) * umask(ji,jj,jk) |
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| 189 | zftv(ji,jj,jk) = ( zabe2 * zdjt(ji,jj,jk) & |
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| 190 | & + zcof2 * ( zdkt (ji,jj+1) + zdk1t(ji,jj) & |
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| 191 | & + zdk1t(ji,jj+1) + zdkt (ji,jj) ) ) * vmask(ji,jj,jk) |
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| 192 | END DO |
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[3] | 193 | END DO |
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| 194 | |
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[2528] | 195 | ! II.4 Second derivative (divergence) and add to the general trend |
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| 196 | ! ---------------------------------------------------------------- |
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| 197 | DO jj = 2 , jpjm1 |
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| 198 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 199 | zbtr = 1.0 / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 200 | ztra = zbtr * ( zftu(ji,jj,jk) - zftu(ji-1,jj,jk) + zftv(ji,jj,jk) - zftv(ji,jj-1,jk) ) |
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| 201 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra |
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| 202 | END DO |
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[3] | 203 | END DO |
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[2528] | 204 | ! ! =============== |
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| 205 | END DO ! End of slab |
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| 206 | ! ! =============== |
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| 207 | ! |
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| 208 | ! "Poleward" diffusive heat or salt transports (T-S case only) |
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| 209 | IF( cdtype == 'TRA' .AND. ln_diaptr .AND. ( MOD( kt, nn_fptr ) == 0 ) ) THEN |
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| 210 | IF( jn == jp_tem) htr_ldf(:) = ptr_vj( zftv(:,:,:) ) |
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| 211 | IF( jn == jp_sal) str_ldf(:) = ptr_vj( zftv(:,:,:) ) |
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| 212 | ENDIF |
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| 213 | |
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[1756] | 214 | #if defined key_diaar5 |
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[2528] | 215 | IF( cdtype == 'TRA' .AND. jn == jp_tem ) THEN |
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| 216 | z2d(:,:) = 0._wp |
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| 217 | zztmp = rau0 * rcp |
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| 218 | DO jk = 1, jpkm1 |
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| 219 | DO jj = 2, jpjm1 |
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| 220 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 221 | z2d(ji,jj) = z2d(ji,jj) + zftu(ji,jj,jk) |
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| 222 | END DO |
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| 223 | END DO |
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[1756] | 224 | END DO |
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[2528] | 225 | z2d(:,:) = zztmp * z2d(:,:) |
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| 226 | CALL lbc_lnk( z2d, 'U', -1. ) |
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| 227 | CALL iom_put( "udiff_heattr", z2d ) ! heat transport in i-direction |
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| 228 | z2d(:,:) = 0._wp |
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| 229 | DO jk = 1, jpkm1 |
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| 230 | DO jj = 2, jpjm1 |
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| 231 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 232 | z2d(ji,jj) = z2d(ji,jj) + zftv(ji,jj,jk) |
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| 233 | END DO |
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| 234 | END DO |
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[1756] | 235 | END DO |
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[2528] | 236 | z2d(:,:) = zztmp * z2d(:,:) |
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| 237 | CALL lbc_lnk( z2d, 'V', -1. ) |
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| 238 | CALL iom_put( "vdiff_heattr", z2d ) ! heat transport in i-direction |
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| 239 | END IF |
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[1756] | 240 | #endif |
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[3] | 241 | |
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[2528] | 242 | !!---------------------------------------------------------------------- |
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| 243 | !! III - vertical trend of T & S (extra diagonal terms only) |
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| 244 | !!---------------------------------------------------------------------- |
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| 245 | |
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| 246 | ! Local constant initialization |
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| 247 | ! ----------------------------- |
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| 248 | ztfw(1,:,:) = 0.e0 ; ztfw(jpi,:,:) = 0.e0 |
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| 249 | |
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| 250 | ! Vertical fluxes |
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| 251 | ! --------------- |
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| 252 | |
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| 253 | ! Surface and bottom vertical fluxes set to zero |
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| 254 | ztfw(:,:, 1 ) = 0.e0 ; ztfw(:,:,jpk) = 0.e0 |
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| 255 | |
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| 256 | ! interior (2=<jk=<jpk-1) |
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| 257 | DO jk = 2, jpkm1 |
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| 258 | DO jj = 2, jpjm1 |
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| 259 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 260 | zcoef0 = - fsahtw(ji,jj,jk) * tmask(ji,jj,jk) |
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| 261 | ! |
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| 262 | zmsku = 1./MAX( umask(ji ,jj,jk-1) + umask(ji-1,jj,jk) & |
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| 263 | & + umask(ji-1,jj,jk-1) + umask(ji ,jj,jk), 1. ) |
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| 264 | zmskv = 1./MAX( vmask(ji,jj ,jk-1) + vmask(ji,jj-1,jk) & |
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| 265 | & + vmask(ji,jj-1,jk-1) + vmask(ji,jj ,jk), 1. ) |
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| 266 | ! |
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| 267 | zcoef3 = zcoef0 * e2t(ji,jj) * zmsku * wslpi (ji,jj,jk) |
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| 268 | zcoef4 = zcoef0 * e1t(ji,jj) * zmskv * wslpj (ji,jj,jk) |
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| 269 | ! |
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| 270 | ztfw(ji,jj,jk) = zcoef3 * ( zdit(ji ,jj ,jk-1) + zdit(ji-1,jj ,jk) & |
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| 271 | & + zdit(ji-1,jj ,jk-1) + zdit(ji ,jj ,jk) ) & |
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| 272 | & + zcoef4 * ( zdjt(ji ,jj ,jk-1) + zdjt(ji ,jj-1,jk) & |
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| 273 | & + zdjt(ji ,jj-1,jk-1) + zdjt(ji ,jj ,jk) ) |
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| 274 | END DO |
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[457] | 275 | END DO |
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| 276 | END DO |
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[2528] | 277 | |
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| 278 | |
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| 279 | ! I.5 Divergence of vertical fluxes added to the general tracer trend |
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| 280 | ! ------------------------------------------------------------------- |
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| 281 | DO jk = 1, jpkm1 |
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| 282 | DO jj = 2, jpjm1 |
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| 283 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 284 | zbtr = 1.0 / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 285 | ztra = ( ztfw(ji,jj,jk) - ztfw(ji,jj,jk+1) ) * zbtr |
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| 286 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra |
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| 287 | END DO |
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[457] | 288 | END DO |
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| 289 | END DO |
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[2528] | 290 | ! |
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[457] | 291 | END DO |
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[503] | 292 | ! |
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[2690] | 293 | IF( wrk_not_released(3, 1,2,3) .OR. & |
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| 294 | wrk_not_released(2, 1,2,3) ) CALL ctl_stop('tra_ldf_iso: failed to release workspace arrays') |
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[2590] | 295 | ! |
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[3] | 296 | END SUBROUTINE tra_ldf_iso |
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| 297 | |
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| 298 | #else |
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| 299 | !!---------------------------------------------------------------------- |
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[457] | 300 | !! default option : Dummy code NO rotation of the diffusive tensor |
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[3] | 301 | !!---------------------------------------------------------------------- |
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| 302 | CONTAINS |
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[2528] | 303 | SUBROUTINE tra_ldf_iso( kt, cdtype, pgu, pgv, ptb, pta, kjpt, pahtb0 ) ! Empty routine |
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| 304 | CHARACTER(len=3) :: cdtype |
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| 305 | REAL, DIMENSION(:,:,:) :: pgu, pgv ! tracer gradient at pstep levels |
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| 306 | REAL, DIMENSION(:,:,:,:) :: ptb, pta |
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| 307 | WRITE(*,*) 'tra_ldf_iso: You should not have seen this print! error?', kt, cdtype, pgu(1,1,1), pgv(1,1,1), & |
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| 308 | & ptb(1,1,1,1), pta(1,1,1,1), kjpt, pahtb0 |
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[3] | 309 | END SUBROUTINE tra_ldf_iso |
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| 310 | #endif |
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| 311 | |
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| 312 | !!============================================================================== |
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| 313 | END MODULE traldf_iso |
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