[941] | 1 | MODULE trcadv_smolar |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE trcadv_smolar *** |
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| 4 | !! Ocean passive tracers: horizontal & vertical advective trend |
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| 5 | !!============================================================================== |
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| 6 | #if defined key_top |
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| 7 | !!---------------------------------------------------------------------- |
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| 8 | !! 'key_top' TOP models |
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| 9 | !!---------------------------------------------------------------------- |
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| 10 | !! trc_adv_smolar : update the passive tracer trend with the horizontal |
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| 11 | !! and vertical advection trends using a Smolarkiewicz |
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| 12 | !! FCT scheme |
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| 13 | !!---------------------------------------------------------------------- |
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| 14 | USE oce_trc ! ocean dynamics and active tracers variables |
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| 15 | USE trc ! ocean passive tracers variables |
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| 16 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 17 | USE trcbbl ! advective passive tracers in the BBL |
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| 18 | USE prtctl_trc ! Print control for debbuging |
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| 19 | |
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| 20 | IMPLICIT NONE |
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| 21 | PRIVATE |
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| 22 | |
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| 23 | PUBLIC trc_adv_smolar ! routine called by trcstp.F90 |
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| 24 | |
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| 25 | REAL(wp), DIMENSION(jpk) :: rdttrc ! vertical profile of tracer time-step |
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| 26 | |
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| 27 | !! * Substitutions |
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| 28 | # include "top_substitute.h90" |
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| 29 | !!---------------------------------------------------------------------- |
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| 30 | !! TOP 1.0 , LOCEAN-IPSL (2005) |
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| 31 | !! $Header$ |
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| 32 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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| 33 | !!---------------------------------------------------------------------- |
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| 34 | CONTAINS |
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| 35 | |
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| 36 | SUBROUTINE trc_adv_smolar( kt ) |
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| 37 | !!---------------------------------------------------------------------- |
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| 38 | !! *** ROUTINE trc_adv_smolar *** |
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| 39 | !! |
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| 40 | !! ** Purpose : Compute the now trend due to total advection of passi- |
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| 41 | !! ve tracer using a Smolarkiewicz FCT (Flux Corrected Transport ) |
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| 42 | !! scheme and add it to the general tracer trend. |
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| 43 | !! |
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| 44 | !! ** Method : Computation of not exactly the advection but the |
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| 45 | !! transport term, i.e. div(u*tra). |
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| 46 | !! Computes the now horizontal and vertical advection with |
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| 47 | !! the complete 3d method. |
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| 48 | !! |
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| 49 | !! note: - sc is an empirical factor to be used with care |
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| 50 | !! - this advection scheme needs an euler-forward time scheme |
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| 51 | !! |
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| 52 | !! ** Action : - update tra with the now advective tracer trends |
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| 53 | !! - save trends in trtrd ('key_trc_diatrd') |
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| 54 | !! |
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| 55 | !! References : |
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| 56 | !! Piotr K. Smolarkiewicz, 1983, |
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| 57 | !! "A simple positive definit advection |
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| 58 | !! scheme with small IMPLICIT diffusion" |
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| 59 | !! Monthly Weather Review, pp 479-486 |
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| 60 | !! |
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| 61 | !! History : |
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| 62 | !! ! 87-06 (pa-dl) Original |
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| 63 | !! ! 91-11 (G. Madec) |
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| 64 | !! ! 94-08 (A. Czaja) |
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| 65 | !! ! 95-09 (M. Levy) passive tracers |
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| 66 | !! ! 98-03 (M.A. Foujols) lateral boundary conditions |
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| 67 | !! ! 99-02 (M.A. Foujols) lbc in conjonction with ORCA |
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| 68 | !! ! 00-05 (MA Foujols) add lbc for tracer trends |
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| 69 | !! ! 00-10 (MA Foujols and E.Kestenare) INCLUDE instead of routine |
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| 70 | !! ! 01-05 (E.Kestenare) fix bug in trtrd indexes |
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| 71 | !! ! 02-05 (M-A Filiberti, and M.Levy) correction in trtrd computation |
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| 72 | !! 9.0 ! 03-04 (C. Ethe) F90: Free form and module |
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| 73 | !!---------------------------------------------------------------------- |
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| 74 | !! * modules used |
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| 75 | #if defined key_trcbbl_adv |
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| 76 | USE oce_trc , zun => ua, & ! use ua as workspace |
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| 77 | & zvn => va ! use va as workspace |
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| 78 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwn |
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| 79 | #else |
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| 80 | USE oce_trc , zun => un, & ! When no bbl, zun == un |
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| 81 | zvn => vn, & ! zvn == vn |
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| 82 | zwn => wn ! zwn == wn |
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| 83 | #endif |
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| 84 | !! * Arguments |
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| 85 | INTEGER, INTENT( in ) :: kt ! ocean time-step |
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| 86 | |
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| 87 | !! * Local declarations |
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| 88 | INTEGER :: ji, jj, jk,jt, jn ! dummy loop indices |
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| 89 | |
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| 90 | REAL(wp), DIMENSION (jpi,jpj,jpk) :: & |
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| 91 | zti, ztj, & |
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| 92 | zaa, zbb, zcc, & |
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| 93 | zx , zy , zz , & |
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| 94 | zkx, zky, zkz, & |
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| 95 | zbuf |
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| 96 | |
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| 97 | #if defined key_trc_diatrd |
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| 98 | REAL(wp) :: zgm, zgz |
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| 99 | #endif |
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| 100 | |
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| 101 | REAL(wp) :: zbtr, ztra |
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| 102 | REAL(wp) :: zfp_ui, zfp_vj, zfm_ui, zfm_vj, zfp_w, zfm_w |
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| 103 | CHARACTER (len=22) :: charout |
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| 104 | !!---------------------------------------------------------------------- |
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| 105 | |
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| 106 | |
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| 107 | IF( kt == nittrc000 .AND. lwp ) THEN |
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| 108 | WRITE(numout,*) |
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| 109 | WRITE(numout,*) 'trc_adv_smolar : SMOLARKIEWICZ advection scheme' |
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| 110 | WRITE(numout,*) '~~~~~~~~~~~~~~~' |
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| 111 | rdttrc(:) = rdttra(:) * FLOAT(ndttrc) |
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| 112 | ENDIF |
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| 113 | |
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| 114 | |
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| 115 | #if defined key_trcbbl_adv |
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| 116 | ! Advective bottom boundary layer |
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| 117 | ! ------------------------------- |
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| 118 | zun(:,:,:) = un (:,:,:) - u_trc_bbl(:,:,:) |
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| 119 | zvn(:,:,:) = vn (:,:,:) - v_trc_bbl(:,:,:) |
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| 120 | zwn(:,:,:) = wn (:,:,:) + w_trc_bbl( :,:,:) |
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| 121 | #endif |
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| 122 | |
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| 123 | ! tracer loop parallelized (macrotasking) |
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| 124 | ! ======================================= |
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| 125 | |
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| 126 | DO jn = 1, jptra |
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| 127 | |
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| 128 | ! 1. tracer flux in the 3 directions |
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| 129 | ! ---------------------------------- |
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| 130 | |
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| 131 | ! 1.1 mass flux at u v and t-points and initialization |
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| 132 | |
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| 133 | DO jk = 1,jpk |
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| 134 | |
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| 135 | DO jj = 1,jpj |
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| 136 | DO ji = 1,jpi |
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| 137 | zaa(ji,jj,jk) = e2u(ji,jj)*fse3u(ji,jj,jk) * zun(ji,jj,jk) |
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| 138 | zbb(ji,jj,jk) = e1v(ji,jj)*fse3v(ji,jj,jk) * zvn(ji,jj,jk) |
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| 139 | zcc(ji,jj,jk) = e1t(ji,jj)*e2t(ji,jj) * zwn(ji,jj,jk) |
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| 140 | zbuf(ji,jj,jk) = 0. |
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| 141 | ztj(ji,jj,jk) = 0. |
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| 142 | zx(ji,jj,jk) = 0. |
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| 143 | zy(ji,jj,jk) = 0. |
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| 144 | zz(ji,jj,jk) = 0. |
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| 145 | zti(ji,jj,jk) = trn(ji,jj,jk,jn) |
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| 146 | #if defined key_trc_diatrd |
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| 147 | IF (luttrd(jn)) trtrd(ji,jj,jk,ikeep(jn),1) = 0. |
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| 148 | IF (luttrd(jn)) trtrd(ji,jj,jk,ikeep(jn),2) = 0. |
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| 149 | IF (luttrd(jn)) trtrd(ji,jj,jk,ikeep(jn),3) = 0. |
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| 150 | #endif |
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| 151 | END DO |
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| 152 | END DO |
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| 153 | |
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| 154 | ! 1.2 calcul of intermediate field with an upstream advection scheme |
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| 155 | ! and mass fluxes calculated above |
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| 156 | |
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| 157 | ! calcul of tracer flux in the i and j direction |
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| 158 | |
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| 159 | DO jj=1,jpj |
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| 160 | zkx( 1,jj,jk)=0. |
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| 161 | zkx(jpi,jj,jk)=0. |
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| 162 | END DO |
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| 163 | |
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| 164 | DO ji=1,jpi |
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| 165 | zky(ji, 1,jk)=0. |
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| 166 | zky(ji,jpj,jk)=0. |
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| 167 | END DO |
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| 168 | |
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| 169 | DO jj = 2,jpjm1 |
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| 170 | DO ji = 2,jpim1 |
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| 171 | zfp_ui = 0.5 * ( zaa(ji,jj,jk) + ABS( zaa(ji,jj,jk) ) ) |
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| 172 | zfp_vj = 0.5 * ( zbb(ji,jj,jk) + ABS( zbb(ji,jj,jk) ) ) |
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| 173 | zfm_ui = 0.5 * ( zaa(ji,jj,jk) - ABS( zaa(ji,jj,jk) ) ) |
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| 174 | zfm_vj = 0.5 * ( zbb(ji,jj,jk) - ABS( zbb(ji,jj,jk) ) ) |
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| 175 | zkx(ji,jj,jk) = zfp_ui * zti(ji,jj,jk) + zfm_ui * zti(ji+1,jj ,jk) |
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| 176 | zky(ji,jj,jk) = zfp_vj * zti(ji,jj,jk) + zfm_vj * zti(ji ,jj+1,jk) |
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| 177 | END DO |
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| 178 | END DO |
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| 179 | |
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| 180 | END DO |
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| 181 | |
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| 182 | ! II. Vertical advection |
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| 183 | ! ---------------------- |
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| 184 | |
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| 185 | ! Surface value |
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| 186 | IF( lk_dynspg_rl ) THEN ! rigid lid : flux set to zero |
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| 187 | zkz(:,:, 1 ) = 0.e0 |
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| 188 | ELSE ! free surface |
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| 189 | zkz(:,:, 1 ) = zwn(:,:,1) * trn(:,:,1,jn) * tmask(ji,jj,1) |
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| 190 | ENDIF |
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| 191 | |
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| 192 | DO jk = 2,jpk |
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| 193 | DO jj = 1,jpj |
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| 194 | DO ji = 1,jpi |
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| 195 | zfp_w = 0.5 * ( zcc(ji,jj,jk) + ABS( zcc(ji,jj,jk) ) ) |
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| 196 | zfm_w = 0.5 * ( zcc(ji,jj,jk) - ABS( zcc(ji,jj,jk) ) ) |
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| 197 | zkz(ji,jj,jk) = zfp_w * zti(ji,jj,jk) + zfm_w * zti(ji,jj,jk-1) |
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| 198 | END DO |
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| 199 | END DO |
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| 200 | END DO |
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| 201 | |
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| 202 | ! ... Lateral boundary conditions on zk[xy] |
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| 203 | CALL lbc_lnk( zkx, 'U', -1. ) |
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| 204 | CALL lbc_lnk( zky, 'V', -1. ) |
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| 205 | |
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| 206 | |
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| 207 | ! 2. calcul of after field using an upstream advection scheme |
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| 208 | ! ----------------------------------------------------------- |
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| 209 | |
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| 210 | DO jk = 1,jpkm1 |
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| 211 | DO jj = 2,jpjm1 |
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| 212 | DO ji = 2,jpim1 |
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| 213 | zbtr = 1./(e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk)) |
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| 214 | ztj(ji,jj,jk) = -zbtr* & |
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| 215 | & ( zkx(ji,jj,jk) - zkx(ji - 1,jj,jk) & |
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| 216 | & + zky(ji,jj,jk) - zky(ji,jj - 1,jk) & |
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| 217 | & + zkz(ji,jj,jk) - zkz(ji,jj,jk + 1) ) |
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| 218 | #if defined key_trc_diatrd |
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| 219 | IF (luttrd(jn)) trtrd(ji,jj,jk,ikeep(jn),1) = trtrd(ji,jj,jk,ikeep(jn),1) - & |
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| 220 | & zbtr*( zkx(ji,jj,jk) - zkx(ji - 1,jj,jk) ) |
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| 221 | |
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| 222 | IF (luttrd(jn)) trtrd(ji,jj,jk,ikeep(jn),2) = trtrd(ji,jj,jk,ikeep(jn),2) - & |
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| 223 | & zbtr*( zky(ji,jj,jk) - zky(ji,jj - 1,jk) ) |
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| 224 | |
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| 225 | IF (luttrd(jn)) trtrd(ji,jj,jk,ikeep(jn),3) = trtrd(ji,jj,jk,ikeep(jn),3) - & |
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| 226 | & zbtr*( zkz(ji,jj,jk) - zkz(ji,jj,jk + 1) ) |
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| 227 | #endif |
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| 228 | END DO |
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| 229 | END DO |
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| 230 | END DO |
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| 231 | |
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| 232 | ! 2.1 start of antidiffusive correction loop |
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| 233 | |
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| 234 | DO jt = 1,ncortrc |
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| 235 | |
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| 236 | ! 2.2 calcul of intermediary field zti |
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| 237 | |
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| 238 | DO jk = 1,jpkm1 |
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| 239 | DO jj = 2,jpjm1 |
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| 240 | DO ji = 2,jpim1 |
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| 241 | zti(ji,jj,jk) = zti(ji,jj,jk)+rdttrc(jk)*ztj(ji,jj,jk) |
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| 242 | zbuf(ji,jj,jk) = zbuf(ji,jj,jk) + ztj(ji,jj,jk) |
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| 243 | END DO |
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| 244 | END DO |
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| 245 | END DO |
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| 246 | |
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| 247 | ! ... Lateral boundary conditions on zti |
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| 248 | CALL lbc_lnk( zti, 'T', 1. ) |
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| 249 | |
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| 250 | |
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| 251 | ! 2.3 calcul of the antidiffusive flux |
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| 252 | |
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| 253 | DO jk = 1,jpkm1 |
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| 254 | DO jj = 2,jpjm1 |
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| 255 | DO ji = 2,jpim1 |
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| 256 | zx(ji,jj,jk) = ( abs(zaa(ji,jj,jk)) - rdttrc(jk) & |
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| 257 | & *zaa(ji,jj,jk)**2/ & |
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| 258 | & (e1u(ji,jj)*e2u(ji,jj)*fse3u(ji,jj,jk) ) ) & |
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| 259 | & *(zti(ji + 1,jj,jk) - zti( ji ,jj,jk)) & |
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| 260 | & /(zti( ji ,jj,jk) + zti(ji + 1,jj,jk) + rtrn) & |
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| 261 | & * rsc |
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| 262 | |
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| 263 | zy(ji,jj,jk) = ( abs(zbb(ji,jj,jk)) - rdttrc(jk) & |
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| 264 | & *zbb(ji,jj,jk)**2/ & |
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| 265 | & (e1v(ji,jj)*e2v(ji,jj)*fse3v(ji,jj,jk) ) ) & |
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| 266 | & *(zti(ji,jj + 1,jk) - zti(ji, jj ,jk)) & |
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| 267 | & /(zti(ji, jj ,jk) + zti(ji,jj + 1,jk) + rtrn) & |
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| 268 | & * rsc |
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| 269 | END DO |
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| 270 | END DO |
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| 271 | END DO |
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| 272 | |
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| 273 | DO jk = 2,jpkm1 |
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| 274 | DO jj = 2,jpjm1 |
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| 275 | DO ji = 2,jpim1 |
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| 276 | zz(ji,jj,jk) = ( abs(zcc(ji,jj,jk)) - rdttrc(jk)*zcc(ji,jj,jk)**2 & |
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| 277 | & /( e1t(ji,jj)*e2t(ji,jj)*fse3w(ji,jj,jk) ) ) & |
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| 278 | & *( zti(ji,jj,jk) - zti(ji,jj,jk - 1) )/ & |
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| 279 | & ( zti(ji,jj,jk) + zti(ji,jj,jk - 1) + rtrn )* rsc*( -1.) |
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| 280 | END DO |
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| 281 | END DO |
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| 282 | END DO |
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| 283 | |
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| 284 | ! 2.4 cross terms |
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| 285 | |
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| 286 | IF (crosster) THEN |
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| 287 | DO jk = 2,jpkm1 |
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| 288 | DO jj = 2,jpjm1 |
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| 289 | DO ji = 2,jpim1 |
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| 290 | zx(ji,jj,jk) = zx(ji,jj,jk) & |
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| 291 | & - 0.5*rdttrc(jk)*rsc*zaa(ji,jj,jk)*0.25* & |
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| 292 | & ( (zbb(ji ,jj - 1,jk ) + zbb(ji + 1,jj - 1 & |
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| 293 | & ,jk ) + zbb(ji + 1,jj ,jk ) + zbb(ji ,jj & |
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| 294 | & ,jk))* (zti(ji ,jj + 1,jk ) + zti(ji + 1,jj + & |
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| 295 | & 1,jk ) - zti(ji + 1,jj - 1,jk ) - zti(ji ,jj & |
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| 296 | & - 1,jk ))/ (zti(ji ,jj + 1,jk ) + zti(ji + 1 & |
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| 297 | & ,jj + 1,jk ) + zti(ji + 1,jj - 1,jk ) + zti(ji & |
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| 298 | & ,jj - 1,jk ) + rtrn) + (zcc(ji ,jj ,jk ) + & |
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| 299 | & zcc(ji + 1,jj ,jk ) + zcc(ji ,jj ,jk + 1) + & |
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| 300 | & zcc(ji + 1,jj ,jk + 1))* (zti(ji ,jj ,jk - 1) & |
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| 301 | & + zti(ji + 1,jj ,jk - 1) - zti(ji ,jj ,jk + 1 & |
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| 302 | & )- zti(ji + 1,jj ,jk + 1))/ (zti(ji ,jj ,jk - & |
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| 303 | & 1) + zti(ji + 1,jj ,jk - 1) + zti(ji ,jj ,jk & |
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| 304 | & +1) + zti(ji + 1,jj ,jk + 1) + rtrn))/(e1u(ji & |
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| 305 | & ,jj)*e2u(ji,jj)*fse3u(ji,jj,jk))*vmask(ji ,jj - & |
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| 306 | & 1,jk )*vmask(ji + 1,jj - 1,jk )*vmask(ji + 1 & |
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| 307 | & ,jj,jk)*vmask(ji ,jj ,jk )*tmask(ji ,jj ,jk & |
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| 308 | & )*tmask(ji + 1,jj ,jk )*tmask(ji ,jj ,jk + 1 & |
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| 309 | & )*tmask(ji + 1,jj ,jk + 1) |
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| 310 | |
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| 311 | zy(ji,jj,jk) = zy(ji,jj,jk) & |
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| 312 | & - 0.5*rdttrc(jk)*rsc*zbb(ji,jj,jk)*0.25* & |
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| 313 | & ( (zaa(ji - 1,jj ,jk ) + zaa(ji - 1,jj + 1 & |
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| 314 | & ,jk ) + zaa(ji ,jj ,jk ) + zaa(ji ,jj + 1 & |
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| 315 | & ,jk))* (zti(ji + 1,jj + 1,jk ) + zti(ji + 1,jj & |
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| 316 | & ,jk ) - zti(ji - 1,jj + 1,jk ) - zti(ji - 1,jj & |
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| 317 | & ,jk ))/ (zti(ji + 1,jj + 1,jk ) + zti(ji + 1 & |
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| 318 | & ,jj ,jk ) + zti(ji - 1,jj + 1,jk ) + zti(ji & |
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| 319 | & - 1,jj ,jk ) + rtrn) + (zcc(ji ,jj ,jk ) & |
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| 320 | & + zcc(ji ,jj ,jk + 1) + zcc(ji ,jj + 1,jk ) & |
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| 321 | & + zcc(ji ,jj + 1,jk + 1))* (zti(ji ,jj ,jk - & |
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| 322 | & 1) + zti(ji ,jj + 1,jk - 1) - zti(ji ,jj ,jk & |
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| 323 | & +1) - zti(ji ,jj + 1,jk + 1))/ (zti(ji ,jj & |
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| 324 | & ,jk- 1) + zti(ji ,jj + 1,jk - 1) + zti(ji ,jj & |
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| 325 | & ,jk+ 1) + zti(ji ,jj + 1,jk + 1) + rtrn)) & |
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| 326 | & /(e1v(ji,jj)*e2v(ji,jj)*fse3v(ji,jj,jk)) & |
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| 327 | & *umask(ji - 1,jj,jk )*umask(ji - 1,jj + 1,jk ) & |
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| 328 | & *umask(ji ,jj,jk )*umask(ji ,jj + 1,jk ) & |
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| 329 | & *tmask(ji ,jj,jk)*tmask(ji ,jj ,jk + 1) & |
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| 330 | & *tmask(ji ,jj + 1,jk)*tmask(ji ,jj + 1,jk + 1) |
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| 331 | |
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| 332 | zz(ji,jj,jk) = zz(ji,jj,jk) & |
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| 333 | & - 0.5*rdttrc(jk)*rsc*zcc(ji,jj,jk)*0.25* & |
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| 334 | & ( (zaa(ji - 1,jj ,jk ) + zaa(ji ,jj ,jk & |
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| 335 | & ) + zaa(ji ,jj ,jk - 1) + zaa(ji - 1,jj ,jk - & |
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| 336 | & 1))*(zti(ji + 1,jj ,jk - 1) + zti(ji + 1,jj & |
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| 337 | & ,jk ) - zti(ji - 1,jj ,jk ) - zti(ji - 1,jj & |
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| 338 | & ,jk - 1))/(zti(ji + 1,jj ,jk - 1) + zti(ji + 1 & |
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| 339 | & ,jj,jk ) + zti(ji - 1,jj ,jk ) + zti(ji - 1 & |
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| 340 | & ,jj,jk - 1) + rtrn) + (zbb(ji ,jj - 1,jk ) & |
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| 341 | & + zbb(ji ,jj ,jk ) + zbb(ji ,jj ,jk - 1) & |
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| 342 | & + zbb(ji ,jj - 1,jk - 1))*(zti(ji ,jj + 1,jk - & |
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| 343 | & 1) + zti(ji ,jj + 1,jk ) - zti(ji ,jj - 1,jk & |
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| 344 | & ) - zti(ji ,jj - 1,jk - 1))/(zti(ji ,jj + 1,jk & |
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| 345 | & - 1) + zti(ji ,jj + 1,jk ) + zti(ji ,jj - 1 & |
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| 346 | & ,jk ) + zti(ji ,jj - 1,jk - 1) + rtrn)) & |
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| 347 | & /(e1t(ji,jj)*e2t(ji,jj)*fse3w(ji,jj,jk)) & |
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| 348 | & *umask(ji - 1,jj,jk )*umask(ji ,jj ,jk ) & |
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| 349 | & *umask(ji ,jj,jk- 1)*umask(ji - 1,jj ,jk - 1) & |
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| 350 | & *vmask(ji ,jj- 1,jk)*vmask(ji ,jj ,jk ) & |
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| 351 | & *vmask(ji ,jj ,jk-1)*vmask(ji ,jj - 1,jk - 1) |
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| 352 | END DO |
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| 353 | END DO |
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| 354 | END DO |
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| 355 | |
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| 356 | DO jj = 2,jpjm1 |
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| 357 | DO ji = 2,jpim1 |
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| 358 | zx(ji,jj,1) = zx(ji,jj,1) & |
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| 359 | & - 0.5*rdttrc(jk)*rsc*zaa(ji,jj,1)*0.25* & |
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| 360 | & ( (zbb(ji ,jj - 1,1 ) + zbb(ji + 1,jj - 1,1 ) & |
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| 361 | & + zbb(ji + 1,jj ,1 ) + zbb(ji ,jj ,1 )) & |
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| 362 | & *(zti(ji ,jj + 1,1 ) + zti(ji + 1,jj + 1,1 ) & |
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| 363 | & - zti(ji + 1,jj - 1,1 ) - zti(ji ,jj - 1,1 )) & |
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| 364 | & /(zti(ji ,jj + 1,1 ) + zti(ji + 1,jj + 1,1 ) & |
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| 365 | & + zti(ji + 1,jj - 1,1 ) + zti(ji ,jj - 1,1 ) + & |
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| 366 | & rtrn))/(e1u(ji,jj)*e2u(ji,jj)*fse3u(ji,jj,1)) & |
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| 367 | & *vmask(ji ,jj - 1,1 )*vmask(ji + 1,jj - 1,1 ) & |
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| 368 | & *vmask(ji + 1,jj ,1 )*vmask(ji ,jj ,1 ) |
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| 369 | |
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| 370 | zy(ji,jj,1) = zy(ji,jj,1) & |
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| 371 | & - 0.5*rdttrc(jk)*rsc*zbb(ji,jj,1)*0.25* & |
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| 372 | & ( (zaa(ji-1 ,jj ,1 ) + zaa(ji - 1,jj + 1,1 ) & |
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| 373 | & + zaa(ji ,jj ,1 ) + zaa(ji ,jj + 1 ,1 )) & |
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| 374 | & *(zti(ji + 1,jj + 1,1 ) + zti(ji + 1,jj ,1 ) & |
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| 375 | & - zti(ji - 1,jj + 1,1 ) - zti(ji - 1,jj ,1 )) & |
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| 376 | & /(zti(ji + 1,jj + 1,1 ) + zti(ji + 1,jj ,1 ) & |
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| 377 | & + zti(ji - 1,jj + 1,1 ) + zti(ji - 1,jj ,1 ) + & |
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| 378 | & rtrn))/(e1v(ji,jj)*e2v(ji,jj)*fse3v(ji,jj,1)) & |
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| 379 | & *umask(ji - 1,jj,1 )*umask(ji - 1,jj + 1,1 ) & |
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| 380 | & *umask(ji ,jj,1 )*umask(ji ,jj + 1 ,1 ) |
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| 381 | |
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| 382 | END DO |
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| 383 | END DO |
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| 384 | ENDIF |
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| 385 | |
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| 386 | ! ... Lateral boundary conditions on z[xyz] |
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| 387 | CALL lbc_lnk( zx, 'U', -1. ) |
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| 388 | CALL lbc_lnk( zy, 'V', -1. ) |
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| 389 | CALL lbc_lnk( zz, 'W', 1. ) |
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| 390 | |
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| 391 | ! 2.4 reinitialization |
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| 392 | |
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| 393 | DO jk = 1,jpk |
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| 394 | DO jj = 1,jpj |
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| 395 | DO ji = 1,jpi |
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| 396 | zaa(ji,jj,jk) = zx(ji,jj,jk) |
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| 397 | zbb(ji,jj,jk) = zy(ji,jj,jk) |
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| 398 | zcc(ji,jj,jk) = zz(ji,jj,jk) |
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| 399 | END DO |
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| 400 | END DO |
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| 401 | END DO |
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| 402 | |
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| 403 | ! 2.5 calcul of the final field: |
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| 404 | ! advection by antidiffusive mass fluxes and an upstream scheme |
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| 405 | |
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| 406 | DO jk = 1,jpk |
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| 407 | DO jj = 2,jpjm1 |
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| 408 | DO ji = 2,jpim1 |
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| 409 | zfp_ui = 0.5 * ( zaa(ji,jj,jk) + ABS( zaa(ji,jj,jk) ) ) |
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| 410 | zfp_vj = 0.5 * ( zbb(ji,jj,jk) + ABS( zbb(ji,jj,jk) ) ) |
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| 411 | zfm_ui = 0.5 * ( zaa(ji,jj,jk) - ABS( zaa(ji,jj,jk) ) ) |
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| 412 | zfm_vj = 0.5 * ( zbb(ji,jj,jk) - ABS( zbb(ji,jj,jk) ) ) |
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| 413 | zkx(ji,jj,jk) = zfp_ui * zti(ji,jj,jk) + zfm_ui * zti(ji+1,jj ,jk) |
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| 414 | zky(ji,jj,jk) = zfp_vj * zti(ji,jj,jk) + zfm_vj * zti(ji ,jj+1,jk) |
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| 415 | END DO |
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| 416 | END DO |
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| 417 | END DO |
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| 418 | |
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| 419 | DO jk = 2,jpk |
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| 420 | DO jj = 1,jpj |
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| 421 | DO ji = 1,jpi |
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| 422 | zfp_w = 0.5 * ( zcc(ji,jj,jk) + ABS( zcc(ji,jj,jk) ) ) |
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| 423 | zfm_w = 0.5 * ( zcc(ji,jj,jk) - ABS( zcc(ji,jj,jk) ) ) |
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| 424 | zkz(ji,jj,jk) = zfp_w * zti(ji,jj,jk) + zfm_w * zti(ji,jj,jk-1) |
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| 425 | END DO |
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| 426 | END DO |
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| 427 | END DO |
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| 428 | |
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| 429 | |
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| 430 | ! ... Lateral boundary conditions on zk[xy] |
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| 431 | CALL lbc_lnk( zkx, 'U', -1. ) |
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| 432 | CALL lbc_lnk( zky, 'V', -1. ) |
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| 433 | |
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| 434 | |
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| 435 | ! 2.6. calcul of after field using an upstream advection scheme |
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| 436 | |
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| 437 | DO jk = 1,jpkm1 |
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| 438 | DO jj = 2,jpjm1 |
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| 439 | DO ji = 2,jpim1 |
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| 440 | zbtr = 1./(e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk)) |
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| 441 | ztj(ji,jj,jk) = -zbtr* & |
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| 442 | & ( zkx(ji,jj,jk) - zkx(ji - 1,jj,jk) & |
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| 443 | & + zky(ji,jj,jk) - zky(ji,jj - 1,jk) & |
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| 444 | & + zkz(ji,jj,jk) - zkz(ji,jj,jk + 1) ) |
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| 445 | #if defined key_trc_diatrd |
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| 446 | IF (luttrd(jn)) trtrd(ji,jj,jk,ikeep(jn),1) = trtrd(ji,jj,jk,ikeep(jn),1) - & |
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| 447 | & zbtr*( zkx(ji,jj,jk) - zkx(ji - 1,jj,jk) ) |
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| 448 | |
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| 449 | IF (luttrd(jn)) trtrd(ji,jj,jk,ikeep(jn),2) = trtrd(ji,jj,jk,ikeep(jn),2) - & |
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| 450 | & zbtr*( zky(ji,jj,jk) - zky(ji,jj - 1,jk) ) |
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| 451 | |
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| 452 | IF (luttrd(jn)) trtrd(ji,jj,jk,ikeep(jn),3) = trtrd(ji,jj,jk,ikeep(jn),3) - & |
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| 453 | & zbtr*( zkz(ji,jj,jk) - zkz(ji,jj,jk + 1) ) |
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| 454 | #endif |
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| 455 | END DO |
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| 456 | END DO |
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| 457 | END DO |
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| 458 | |
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| 459 | ! 2.6 END of antidiffusive correction loop |
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| 460 | |
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| 461 | END DO |
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| 462 | |
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| 463 | ! 3. trend due to horizontal and vertical advection of tracer jn |
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| 464 | ! -------------------------------------------------------------- |
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| 465 | |
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| 466 | DO jk = 1,jpk |
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| 467 | DO jj = 2,jpjm1 |
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| 468 | DO ji = 2,jpim1 |
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| 469 | ztra = ( zbuf(ji,jj,jk) + ztj(ji,jj,jk) ) * tmask(ji,jj,jk) |
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| 470 | tra(ji,jj,jk,jn) = tra(ji,jj,jk,jn) + ztra |
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| 471 | END DO |
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| 472 | END DO |
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| 473 | END DO |
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| 474 | |
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| 475 | ! 4.0 convert the transport trend into advection trend |
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| 476 | ! ---------------------------------------------------- |
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| 477 | |
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| 478 | #if defined key_trc_diatrd |
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| 479 | DO jk = 1,jpk |
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| 480 | DO jj = 2,jpjm1 |
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| 481 | DO ji = 2,jpim1 |
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| 482 | zbtr = 1./(e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk)) |
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| 483 | zgm = zbtr * trn(ji,jj,jk,jn) * & |
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| 484 | & ( zun(ji ,jj,jk) * e2u(ji ,jj) * fse3u(ji ,jj,jk) & |
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| 485 | & -zun(ji-1,jj,jk) * e2u(ji-1,jj) * fse3u(ji-1,jj,jk)) |
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| 486 | |
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| 487 | zgz = zbtr * trn(ji,jj,jk,jn) * & |
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| 488 | & ( zvn(ji,jj ,jk) * e1v(ji,jj ) * fse3v(ji,jj ,jk) & |
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| 489 | & -zvn(ji,jj-1,jk) * e1v(ji,jj-1) * fse3v(ji,jj-1,jk)) |
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| 490 | |
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| 491 | IF (luttrd(jn)) trtrd(ji,jj,jk,ikeep(jn),1) = trtrd(ji,jj,jk,ikeep(jn),1) + zgm |
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| 492 | IF (luttrd(jn)) trtrd(ji,jj,jk,ikeep(jn),2) = trtrd(ji,jj,jk,ikeep(jn),2) + zgz |
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| 493 | IF (luttrd(jn)) trtrd(ji,jj,jk,ikeep(jn),3) = trtrd(ji,jj,jk,ikeep(jn),3) & |
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| 494 | & - trn(ji,jj,jk,jn) * hdivn(ji,jj,jk) |
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| 495 | END DO |
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| 496 | END DO |
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| 497 | END DO |
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| 498 | |
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| 499 | ! Lateral boundary conditions on trtrd: |
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| 500 | |
---|
| 501 | IF (luttrd(jn)) CALL lbc_lnk( trtrd(:,:,:,ikeep(jn),1), 'T', 1. ) |
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| 502 | IF (luttrd(jn)) CALL lbc_lnk( trtrd(:,:,:,ikeep(jn),2), 'T', 1. ) |
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| 503 | IF (luttrd(jn)) CALL lbc_lnk( trtrd(:,:,:,ikeep(jn),3), 'T', 1. ) |
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| 504 | #endif |
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| 505 | |
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| 506 | |
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| 507 | ! END of tracer loop |
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| 508 | ! ================== |
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| 509 | ENDDO |
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| 510 | |
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| 511 | IF(ln_ctl) THEN ! print mean trends (used for debugging) |
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| 512 | WRITE(charout, FMT="('smolar - adv')") |
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| 513 | CALL prt_ctl_trc_info(charout) |
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| 514 | CALL prt_ctl_trc(tab4d=tra, mask=tmask, clinfo=ctrcnm,clinfo2='trd') |
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| 515 | ENDIF |
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| 516 | |
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| 517 | END SUBROUTINE trc_adv_smolar |
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| 518 | |
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| 519 | #else |
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| 520 | !!---------------------------------------------------------------------- |
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| 521 | !! Default option Empty module |
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| 522 | !!---------------------------------------------------------------------- |
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| 523 | CONTAINS |
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| 524 | SUBROUTINE trc_adv_smolar( kt ) |
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| 525 | INTEGER, INTENT(in) :: kt |
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| 526 | WRITE(*,*) 'trc_adv_smolar: You should not have seen this print! error?', kt |
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| 527 | END SUBROUTINE trc_adv_smolar |
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| 528 | #endif |
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| 529 | |
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| 530 | !!====================================================================== |
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| 531 | END MODULE trcadv_smolar |
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