[3] | 1 | MODULE trazdf_exp |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE trazdf_exp *** |
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[2528] | 4 | !! Ocean tracers: vertical component of the tracer mixing trend using |
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| 5 | !! a split-explicit time-stepping |
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[3] | 6 | !!============================================================================== |
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[1110] | 7 | !! History : OPA ! 1990-10 (B. Blanke) Original code |
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| 8 | !! 7.0 ! 1991-11 (G. Madec) |
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| 9 | !! ! 1992-06 (M. Imbard) correction on tracer trend loops |
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| 10 | !! ! 1996-01 (G. Madec) statement function for e3 |
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| 11 | !! ! 1997-05 (G. Madec) vertical component of isopycnal |
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| 12 | !! ! 1997-07 (G. Madec) geopotential diffusion in s-coord |
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| 13 | !! ! 2000-08 (G. Madec) double diffusive mixing |
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| 14 | !! NEMO 1.0 ! 2002-08 (G. Madec) F90: Free form and module |
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| 15 | !! - ! 2004-08 (C. Talandier) New trends organisation |
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| 16 | !! - ! 2005-11 (G. Madec) New organisation |
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| 17 | !! 3.0 ! 2008-04 (G. Madec) leap-frog time stepping done in trazdf |
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[2528] | 18 | !! 3.3 ! 2010-06 (C. Ethe, G. Madec) Merge TRA-TRC |
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[3] | 19 | !!---------------------------------------------------------------------- |
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[1110] | 20 | |
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[3] | 21 | !!---------------------------------------------------------------------- |
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[1110] | 22 | !! tra_zdf_exp : compute the tracer the vertical diffusion trend using a |
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| 23 | !! split-explicit time stepping and provide the after tracer |
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| 24 | !!---------------------------------------------------------------------- |
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[3] | 25 | USE oce ! ocean dynamics and active tracers |
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| 26 | USE dom_oce ! ocean space and time domain |
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[2528] | 27 | USE domvvl ! variable volume levels |
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[3] | 28 | USE zdf_oce ! ocean vertical physics |
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| 29 | USE zdfddm ! ocean vertical physics: double diffusion |
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[2715] | 30 | USE trc_oce ! share passive tracers/Ocean variables |
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[3] | 31 | USE in_out_manager ! I/O manager |
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[2715] | 32 | USE lib_mpp ! MPP library |
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[3294] | 33 | USE wrk_nemo ! Memory Allocation |
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| 34 | USE timing ! Timing |
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[3] | 35 | |
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| 36 | IMPLICIT NONE |
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| 37 | PRIVATE |
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| 38 | |
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[1110] | 39 | PUBLIC tra_zdf_exp ! routine called by step.F90 |
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[3] | 40 | |
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| 41 | !! * Substitutions |
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| 42 | # include "domzgr_substitute.h90" |
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| 43 | # include "zdfddm_substitute.h90" |
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[1110] | 44 | # include "vectopt_loop_substitute.h90" |
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[3] | 45 | !!---------------------------------------------------------------------- |
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[2528] | 46 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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| 47 | !! $Id$ |
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[2715] | 48 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[3] | 49 | !!---------------------------------------------------------------------- |
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| 50 | CONTAINS |
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| 51 | |
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[3294] | 52 | SUBROUTINE tra_zdf_exp( kt, kit000, cdtype, p2dt, kn_zdfexp, & |
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[2528] | 53 | & ptb , pta , kjpt ) |
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[3] | 54 | !!---------------------------------------------------------------------- |
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| 55 | !! *** ROUTINE tra_zdf_exp *** |
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| 56 | !! |
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[1110] | 57 | !! ** Purpose : Compute the after tracer fields due to the vertical |
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| 58 | !! tracer mixing alone, and then due to the whole tracer trend. |
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[3] | 59 | !! |
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[1110] | 60 | !! ** Method : - The after tracer fields due to the vertical diffusion |
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| 61 | !! of tracers alone is given by: |
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[2528] | 62 | !! zwx = ptb + p2dt difft |
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| 63 | !! where difft = dz( avt dz(ptb) ) = 1/e3t dk+1( avt/e3w dk(ptb) ) |
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| 64 | !! (if lk_zdfddm=T use avs on salinity and passive tracers instead of avt) |
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[1110] | 65 | !! difft is evaluated with an Euler split-explit scheme using a |
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| 66 | !! no flux boundary condition at both surface and bottomi boundaries. |
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| 67 | !! (N.B. bottom condition is applied through the masked field avt). |
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| 68 | !! - the after tracer fields due to the whole trend is |
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| 69 | !! obtained in leap-frog environment by : |
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[2528] | 70 | !! pta = zwx + p2dt pta |
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[1110] | 71 | !! - in case of variable level thickness (lk_vvl=T) the |
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| 72 | !! the leap-frog is applied on thickness weighted tracer. That is: |
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[2528] | 73 | !! pta = [ ptb*e3tb + e3tn*( zwx - ptb + p2dt pta ) ] / e3tn |
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[3] | 74 | !! |
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[2528] | 75 | !! ** Action : - after tracer fields pta |
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[1110] | 76 | !!--------------------------------------------------------------------- |
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[2715] | 77 | ! |
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[2528] | 78 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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[3294] | 79 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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[2528] | 80 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 81 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 82 | INTEGER , INTENT(in ) :: kn_zdfexp ! number of sub-time step |
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| 83 | REAL(wp), DIMENSION( jpk ), INTENT(in ) :: p2dt ! vertical profile of tracer time-step |
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| 84 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb ! before and now tracer fields |
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| 85 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
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[2715] | 86 | ! |
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[2528] | 87 | INTEGER :: ji, jj, jk, jn, jl ! dummy loop indices |
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| 88 | REAL(wp) :: zlavmr, zave3r, ze3tr ! local scalars |
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| 89 | REAL(wp) :: ztra, ze3tb ! - - |
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[3294] | 90 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zwx, zwy |
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[3] | 91 | !!--------------------------------------------------------------------- |
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[3294] | 92 | ! |
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| 93 | IF( nn_timing == 1 ) CALL timing_start('tra_zdf_exp') |
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| 94 | ! |
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| 95 | CALL wrk_alloc( jpi, jpj, jpk, zwx, zwy ) |
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| 96 | ! |
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[3] | 97 | |
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[3294] | 98 | IF( kt == kit000 ) THEN |
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[457] | 99 | IF(lwp) WRITE(numout,*) |
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[2528] | 100 | IF(lwp) WRITE(numout,*) 'tra_zdf_exp : explicit vertical mixing on ', cdtype |
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[457] | 101 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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| 102 | ENDIF |
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[3] | 103 | |
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[1110] | 104 | ! Initializations |
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| 105 | ! --------------- |
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[2528] | 106 | zlavmr = 1. / float( kn_zdfexp ) ! Local constant |
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[1110] | 107 | ! |
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| 108 | ! |
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[2528] | 109 | DO jn = 1, kjpt ! loop over tracers |
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| 110 | ! |
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| 111 | zwy(:,:, 1 ) = 0.e0 ! surface boundary conditions: no flux |
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| 112 | zwy(:,:,jpk) = 0.e0 ! bottom boundary conditions: no flux |
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| 113 | ! |
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| 114 | zwx(:,:,:) = ptb(:,:,:,jn) ! zwx array set to before tracer values |
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[457] | 115 | |
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[2528] | 116 | ! Split-explicit loop (after tracer due to the vertical diffusion alone) |
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| 117 | ! ------------------- |
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| 118 | ! |
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| 119 | DO jl = 1, kn_zdfexp |
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| 120 | ! ! first vertical derivative |
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| 121 | DO jk = 2, jpk |
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| 122 | DO jj = 2, jpjm1 |
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| 123 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 124 | zave3r = 1.e0 / fse3w_n(ji,jj,jk) |
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| 125 | IF( cdtype == 'TRA' .AND. jn == jp_tem ) THEN ! temperature : use of avt |
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| 126 | zwy(ji,jj,jk) = avt(ji,jj,jk) * ( zwx(ji,jj,jk-1) - zwx(ji,jj,jk) ) * zave3r |
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| 127 | ELSE ! salinity or pass. tracer : use of avs |
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| 128 | zwy(ji,jj,jk) = fsavs(ji,jj,jk) * ( zwx(ji,jj,jk-1) - zwx(ji,jj,jk) ) * zave3r |
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| 129 | END IF |
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| 130 | END DO |
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[1110] | 131 | END DO |
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| 132 | END DO |
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[2528] | 133 | ! |
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| 134 | DO jk = 1, jpkm1 ! second vertical derivative ==> tracer at kt+l*2*rdt/nn_zdfexp |
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| 135 | DO jj = 2, jpjm1 |
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| 136 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 137 | ze3tr = zlavmr / fse3t_n(ji,jj,jk) |
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| 138 | zwx(ji,jj,jk) = zwx(ji,jj,jk) + p2dt(jk) * ( zwy(ji,jj,jk) - zwy(ji,jj,jk+1) ) * ze3tr |
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| 139 | END DO |
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[1110] | 140 | END DO |
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[3] | 141 | END DO |
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[2528] | 142 | ! |
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[3] | 143 | END DO |
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| 144 | |
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[2528] | 145 | ! After tracer due to all trends |
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| 146 | ! ------------------------------ |
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| 147 | IF( lk_vvl ) THEN ! variable level thickness : leap-frog on tracer*e3t |
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| 148 | DO jk = 1, jpkm1 |
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| 149 | DO jj = 2, jpjm1 |
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| 150 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 151 | ze3tb = fse3t_b(ji,jj,jk) / fse3t(ji,jj,jk) ! before e3t |
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| 152 | ztra = zwx(ji,jj,jk) - ptb(ji,jj,jk,jn) + p2dt(jk) * pta(ji,jj,jk,jn) ! total trends * 2*rdt |
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| 153 | pta(ji,jj,jk,jn) = ( ze3tb * ptb(ji,jj,jk,jn) + ztra ) * tmask(ji,jj,jk) |
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| 154 | END DO |
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[3] | 155 | END DO |
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[1110] | 156 | END DO |
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[2528] | 157 | ELSE ! fixed level thickness : leap-frog on tracers |
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| 158 | DO jk = 1, jpkm1 |
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| 159 | DO jj = 2, jpjm1 |
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| 160 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 161 | pta(ji,jj,jk,jn) = ( zwx(ji,jj,jk) + p2dt(jk) * pta(ji,jj,jk,jn) ) * tmask(ji,jj,jk) |
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| 162 | END DO |
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[3] | 163 | END DO |
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| 164 | END DO |
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[2528] | 165 | ENDIF |
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| 166 | ! |
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| 167 | END DO |
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[1110] | 168 | ! |
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[3294] | 169 | CALL wrk_dealloc( jpi, jpj, jpk, zwx, zwy ) |
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[2715] | 170 | ! |
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[3294] | 171 | IF( nn_timing == 1 ) CALL timing_stop('tra_zdf_exp') |
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| 172 | ! |
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[3] | 173 | END SUBROUTINE tra_zdf_exp |
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| 174 | |
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| 175 | !!============================================================================== |
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| 176 | END MODULE trazdf_exp |
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