[941] | 1 | MODULE trcadv_smolar |
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[1175] | 2 | !!====================================================================== |
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[941] | 3 | !! *** MODULE trcadv_smolar *** |
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| 4 | !! Ocean passive tracers: horizontal & vertical advective trend |
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[1175] | 5 | !!====================================================================== |
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| 6 | !! History : ! 87-06 (pa-dl) Original |
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| 7 | !! ! 91-11 (G. Madec) |
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| 8 | !! ! 94-08 (A. Czaja) |
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| 9 | !! ! 95-09 (M. Levy) passive tracers |
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| 10 | !! ! 98-03 (M.A. Foujols) lateral boundary conditions |
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| 11 | !! ! 99-02 (M.A. Foujols) lbc in conjonction with ORCA |
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| 12 | !! ! 00-05 (MA Foujols) add lbc for tracer trends |
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| 13 | !! ! 00-10 (MA Foujols and E.Kestenare) INCLUDE instead of routine |
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| 14 | !! ! 01-05 (E.Kestenare) fix bug in trtrd indexes |
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| 15 | !! ! 02-05 (M-A Filiberti, and M.Levy) correction in trtrd computation |
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| 16 | !! 9.0 ! 03-04 (C. Ethe) F90: Free form and module |
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| 17 | !! ! 07-02 (C. Deltel) Diagnose ML trends for passive tracers |
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| 18 | !!---------------------------------------------------------------------- |
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[941] | 19 | #if defined key_top |
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| 20 | !!---------------------------------------------------------------------- |
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| 21 | !! trc_adv_smolar : update the passive tracer trend with the horizontal |
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| 22 | !! and vertical advection trends using a Smolarkiewicz |
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| 23 | !! FCT scheme |
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| 24 | !!---------------------------------------------------------------------- |
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| 25 | USE oce_trc ! ocean dynamics and active tracers variables |
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[1175] | 26 | USE trc ! ocean passive tracers variables |
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[1189] | 27 | USE trp_trc |
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[941] | 28 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 29 | USE trcbbl ! advective passive tracers in the BBL |
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[1119] | 30 | USE prtctl_trc ! Print control for debbuging |
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[1175] | 31 | USE trctrp_lec |
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| 32 | USE trdmld_trc |
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| 33 | USE trdmld_trc_oce |
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[941] | 34 | |
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| 35 | IMPLICIT NONE |
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| 36 | PRIVATE |
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| 37 | |
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[1175] | 38 | PUBLIC trc_adv_smolar ! routine called by trcstp.F90 |
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[941] | 39 | |
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[1175] | 40 | REAL(wp), DIMENSION(jpk) :: rdttrc ! vertical profile of tracer time-step |
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[941] | 41 | |
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| 42 | !! * Substitutions |
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| 43 | # include "top_substitute.h90" |
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| 44 | !!---------------------------------------------------------------------- |
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| 45 | !! TOP 1.0 , LOCEAN-IPSL (2005) |
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[1175] | 46 | !! $Header: /home/opalod/NEMOCVSROOT/NEMO/TOP_SRC/TRP/trcadv_smolar.F90,v 1.11 2006/04/10 15:38:54 opalod Exp $ |
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| 47 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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[941] | 48 | !!---------------------------------------------------------------------- |
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| 49 | CONTAINS |
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| 50 | |
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| 51 | SUBROUTINE trc_adv_smolar( kt ) |
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| 52 | !!---------------------------------------------------------------------- |
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| 53 | !! *** ROUTINE trc_adv_smolar *** |
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| 54 | !! |
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| 55 | !! ** Purpose : Compute the now trend due to total advection of passi- |
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[1175] | 56 | !! ve tracer using a Smolarkiewicz FCT (Flux Corrected |
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| 57 | !! Transport) scheme and add it to the general tracer trend. |
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[941] | 58 | !! |
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[1175] | 59 | !! ** Method : Computation of not exactly the advection but the |
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| 60 | !! transport term, i.e. div(u*tra). |
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| 61 | !! Computes the now horizontal and vertical advection with |
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| 62 | !! the complete 3d method. |
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[941] | 63 | !! |
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[1175] | 64 | !! Note : - sc is an empirical factor to be used with care |
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| 65 | !! - this advection scheme needs an euler-forward time scheme |
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[941] | 66 | !! |
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| 67 | !! ** Action : - update tra with the now advective tracer trends |
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[1175] | 68 | !! - save trends ('key_trdmld_trc') |
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[941] | 69 | !! |
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[1175] | 70 | !! References : Smolarkiewicz, 1983, Mon. Wea. Rev. p. 479-486 |
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[941] | 71 | !!---------------------------------------------------------------------- |
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| 72 | #if defined key_trcbbl_adv |
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| 73 | USE oce_trc , zun => ua, & ! use ua as workspace |
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| 74 | & zvn => va ! use va as workspace |
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| 75 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwn |
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| 76 | #else |
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| 77 | USE oce_trc , zun => un, & ! When no bbl, zun == un |
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[1175] | 78 | & zvn => vn, & ! zvn == vn |
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| 79 | & zwn => wn ! zwn == wn |
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[941] | 80 | #endif |
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[1175] | 81 | INTEGER, INTENT( in ) :: kt ! ocean time-step |
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| 82 | INTEGER :: ji, jj, jk,jt, jn ! dummy loop indices |
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| 83 | REAL(wp), DIMENSION (jpi,jpj,jpk) :: zti, ztj |
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| 84 | REAL(wp), DIMENSION (jpi,jpj,jpk) :: zaa, zbb, zcc |
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| 85 | REAL(wp), DIMENSION (jpi,jpj,jpk) :: zx , zy , zz |
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| 86 | REAL(wp), DIMENSION (jpi,jpj,jpk) :: zkx, zky, zkz |
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| 87 | REAL(wp), DIMENSION (jpi,jpj,jpk) :: zbuf |
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[941] | 88 | REAL(wp) :: zgm, zgz |
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| 89 | REAL(wp) :: zbtr, ztra |
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| 90 | REAL(wp) :: zfp_ui, zfp_vj, zfm_ui, zfm_vj, zfp_w, zfm_w |
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| 91 | CHARACTER (len=22) :: charout |
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[1175] | 92 | REAL(wp), DIMENSION(:,:,:,:), ALLOCATABLE :: ztrtrd |
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[941] | 93 | !!---------------------------------------------------------------------- |
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| 94 | |
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| 95 | IF( kt == nittrc000 .AND. lwp ) THEN |
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| 96 | WRITE(numout,*) |
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| 97 | WRITE(numout,*) 'trc_adv_smolar : SMOLARKIEWICZ advection scheme' |
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| 98 | WRITE(numout,*) '~~~~~~~~~~~~~~~' |
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| 99 | rdttrc(:) = rdttra(:) * FLOAT(ndttrc) |
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| 100 | ENDIF |
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[1175] | 101 | |
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| 102 | IF( l_trdtrc ) ALLOCATE( ztrtrd(jpi,jpj,jpk,3) ) |
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| 103 | |
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[941] | 104 | #if defined key_trcbbl_adv |
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| 105 | ! Advective bottom boundary layer |
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| 106 | ! ------------------------------- |
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| 107 | zun(:,:,:) = un (:,:,:) - u_trc_bbl(:,:,:) |
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| 108 | zvn(:,:,:) = vn (:,:,:) - v_trc_bbl(:,:,:) |
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[1175] | 109 | zwn(:,:,:) = wn (:,:,:) + w_trc_bbl(:,:,:) |
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[941] | 110 | #endif |
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| 111 | |
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[1175] | 112 | ! ! =========== |
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| 113 | DO jn = 1, jptra ! tracer loop |
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| 114 | ! ! =========== |
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[941] | 115 | ! 1. tracer flux in the 3 directions |
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| 116 | ! ---------------------------------- |
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| 117 | |
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[1175] | 118 | !--1.1 Horizontal advection |
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| 119 | IF( l_trdtrc ) ztrtrd(:,:,:,:) = 0.e0 ! trends |
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[941] | 120 | |
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[1175] | 121 | DO jk = 1, jpk ! Horizontal slab |
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[941] | 122 | |
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[1175] | 123 | ! ... Initialisations |
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| 124 | zbuf(:,:,jk) = 0.e0 ; ztj(:,:,jk) = 0.e0 |
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| 125 | zx (:,:,jk) = 0.e0 ; zy (:,:,jk) = 0.e0 |
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| 126 | zz (:,:,jk) = 0.e0 |
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| 127 | |
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| 128 | IF( l_trdtrc ) ztrtrd(:,:,:,:) = 0.e0 ! trends |
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| 129 | |
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| 130 | ! ... Horizontal mass flux at u v and t-points |
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| 131 | zaa(:,:,jk) = e2u(:,:) * fse3u(:,:,jk) * zun(:,:,jk) |
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| 132 | zbb(:,:,jk) = e1v(:,:) * fse3v(:,:,jk) * zvn(:,:,jk) |
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| 133 | zcc(:,:,jk) = e1t(:,:) * e2t(:,:) * zwn(:,:,jk) |
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| 134 | zti(:,:,jk) = trn(:,:,jk,jn) |
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| 135 | |
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[941] | 136 | #if defined key_trc_diatrd |
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[1175] | 137 | IF (luttrd(jn)) trtrd(:,:,jk,ikeep(jn),1) = 0. |
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| 138 | IF (luttrd(jn)) trtrd(:,:,jk,ikeep(jn),2) = 0. |
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| 139 | IF (luttrd(jn)) trtrd(:,:,jk,ikeep(jn),3) = 0. |
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[941] | 140 | #endif |
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| 141 | |
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[1175] | 142 | ! ... Horizontal tracer flux in the i and j direction |
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| 143 | zkx( 1, :,jk) = 0.e0 ; zky( :, 1,jk) = 0.e0 |
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| 144 | zkx(jpi, :,jk) = 0.e0 ; zky( :,jpj,jk) = 0.e0 |
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| 145 | |
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| 146 | DO jj = 2, jpjm1 |
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| 147 | DO ji = fs_2, fs_jpim1 ! Vector opt. |
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| 148 | |
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| 149 | ! Upstream advection scheme using mass fluxes calculated above |
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| 150 | zfp_ui = 0.5 * ( zaa(ji,jj,jk) + ABS( zaa(ji,jj,jk) ) ) |
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| 151 | zfp_vj = 0.5 * ( zbb(ji,jj,jk) + ABS( zbb(ji,jj,jk) ) ) |
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| 152 | zfm_ui = 0.5 * ( zaa(ji,jj,jk) - ABS( zaa(ji,jj,jk) ) ) |
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| 153 | zfm_vj = 0.5 * ( zbb(ji,jj,jk) - ABS( zbb(ji,jj,jk) ) ) |
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| 154 | |
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| 155 | ! Tracer fluxes |
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| 156 | zkx(ji,jj,jk) = zfp_ui * zti(ji,jj,jk) + zfm_ui * zti(ji+1,jj ,jk) |
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| 157 | zky(ji,jj,jk) = zfp_vj * zti(ji,jj,jk) + zfm_vj * zti(ji ,jj+1,jk) |
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| 158 | END DO |
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| 159 | END DO |
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| 160 | |
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| 161 | END DO ! Horizontal slab |
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| 162 | |
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| 163 | ! ... Lateral boundary conditions on zk[xy] |
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| 164 | CALL lbc_lnk( zkx, 'U', -1. ) |
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| 165 | CALL lbc_lnk( zky, 'V', -1. ) |
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| 166 | |
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| 167 | !--1.2 Vertical advection |
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| 168 | IF( lk_dynspg_rl ) THEN ! surface value for rigid lid : flux set to zero |
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[941] | 169 | zkz(:,:, 1 ) = 0.e0 |
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[1175] | 170 | ELSE ! surface value for free surface |
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[941] | 171 | zkz(:,:, 1 ) = zwn(:,:,1) * trn(:,:,1,jn) * tmask(ji,jj,1) |
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| 172 | ENDIF |
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[1175] | 173 | |
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| 174 | DO jk = 2, jpk ! Vector opt. ??? |
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| 175 | DO jj = 1, jpj |
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| 176 | DO ji = 1, jpi |
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| 177 | zfp_w = 0.5 * ( zcc(ji,jj,jk) + ABS( zcc(ji,jj,jk) ) ) |
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| 178 | zfm_w = 0.5 * ( zcc(ji,jj,jk) - ABS( zcc(ji,jj,jk) ) ) |
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| 179 | zkz(ji,jj,jk) = zfp_w * zti(ji,jj,jk) + zfm_w * zti(ji,jj,jk-1) |
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| 180 | END DO |
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[941] | 181 | END DO |
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[1175] | 182 | END DO |
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| 183 | |
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| 184 | ! 2. Compute after field using an upstream advection scheme |
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| 185 | ! --------------------------------------------------------- |
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| 186 | |
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| 187 | DO jk = 1, jpkm1 |
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| 188 | DO jj = 2, jpjm1 |
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| 189 | DO ji = fs_2, fs_jpim1 ! Vector opt. |
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| 190 | zbtr = 1./(e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk)) |
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| 191 | ztj(ji,jj,jk) = - zbtr * & |
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| 192 | & ( zkx(ji,jj,jk) - zkx(ji-1,jj ,jk ) & |
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| 193 | & + zky(ji,jj,jk) - zky(ji ,jj-1,jk ) & |
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| 194 | & + zkz(ji,jj,jk) - zkz(ji ,jj ,jk+1) ) |
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[941] | 195 | #if defined key_trc_diatrd |
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[1175] | 196 | IF (luttrd(jn)) trtrd(ji,jj,jk,ikeep(jn),1) = trtrd(ji,jj,jk,ikeep(jn),1) - & |
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| 197 | & zbtr*( zkx(ji,jj,jk) - zkx(ji-1,jj,jk) ) |
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[941] | 198 | |
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[1175] | 199 | IF (luttrd(jn)) trtrd(ji,jj,jk,ikeep(jn),2) = trtrd(ji,jj,jk,ikeep(jn),2) - & |
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| 200 | & zbtr*( zky(ji,jj,jk) - zky(ji,jj-1,jk) ) |
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[941] | 201 | |
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[1175] | 202 | IF (luttrd(jn)) trtrd(ji,jj,jk,ikeep(jn),3) = trtrd(ji,jj,jk,ikeep(jn),3) - & |
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| 203 | & zbtr*( zkz(ji,jj,jk) - zkz(ji,jj,jk+1) ) |
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[941] | 204 | #endif |
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[1175] | 205 | |
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| 206 | END DO |
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[941] | 207 | END DO |
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[1175] | 208 | END DO |
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| 209 | |
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| 210 | ! 3. Diagnose passive tracer trends (part 1/3) |
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| 211 | ! -------------------------------------------- |
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[941] | 212 | |
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[1175] | 213 | IF( l_trdtrc ) THEN |
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| 214 | DO jk = 1, jpkm1 |
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| 215 | DO jj = 2, jpjm1 |
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| 216 | DO ji = fs_2, fs_jpim1 ! Vector opt. |
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| 217 | zbtr = 1./(e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk)) |
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| 218 | ztrtrd(ji,jj,jk,1) = ztrtrd(ji,jj,jk,1) - zbtr*( zkx(ji,jj,jk) - zkx(ji-1,jj ,jk ) ) |
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| 219 | ztrtrd(ji,jj,jk,2) = ztrtrd(ji,jj,jk,2) - zbtr*( zky(ji,jj,jk) - zky(ji ,jj-1,jk ) ) |
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| 220 | ztrtrd(ji,jj,jk,3) = ztrtrd(ji,jj,jk,3) - zbtr*( zkz(ji,jj,jk) - zkz(ji ,jj ,jk+1) ) |
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| 221 | END DO |
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| 222 | END DO |
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[941] | 223 | END DO |
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[1175] | 224 | ENDIF |
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| 225 | |
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| 226 | ! 4. Antidiffusive correction loop |
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| 227 | ! -------------------------------- |
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| 228 | ! ! ----------------------------- |
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| 229 | DO jt = 1, ncortrc ! antidiffusive correction loop |
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| 230 | ! ! ----------------------------- |
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| 231 | |
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| 232 | !--4.1 Compute intermediate field zti |
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| 233 | DO jk = 1, jpkm1 |
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| 234 | zti (:,:,jk) = zti (:,:,jk) + rdttrc(jk) * ztj(:,:,jk) |
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| 235 | END DO |
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| 236 | zbuf(:,:,:) = zbuf(:,:,:) + ztj(:,:,:) |
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| 237 | |
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| 238 | CALL lbc_lnk( zti, 'T', 1. ) ! lateral boundary |
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| 239 | |
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| 240 | !--4.2 Compute the antidiffusive fluxes |
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| 241 | DO jk = 1, jpkm1 |
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| 242 | DO jj = 2, jpjm1 |
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| 243 | DO ji = fs_2, fs_jpim1 ! Vector opt. |
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| 244 | zx(ji,jj,jk) = ( abs(zaa(ji,jj,jk)) - rdttrc(jk) & |
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| 245 | & *zaa(ji,jj,jk)**2/ & |
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| 246 | & (e1u(ji,jj)*e2u(ji,jj)*fse3u(ji,jj,jk) ) ) & |
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| 247 | & *(zti(ji + 1,jj,jk) - zti( ji ,jj,jk)) & |
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| 248 | & /(zti( ji ,jj,jk) + zti(ji + 1,jj,jk) + rtrn) & |
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| 249 | & * rsc |
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| 250 | |
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| 251 | zy(ji,jj,jk) = ( abs(zbb(ji,jj,jk)) - rdttrc(jk) & |
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| 252 | & *zbb(ji,jj,jk)**2/ & |
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| 253 | & (e1v(ji,jj)*e2v(ji,jj)*fse3v(ji,jj,jk) ) ) & |
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| 254 | & *(zti(ji,jj + 1,jk) - zti(ji, jj ,jk)) & |
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| 255 | & /(zti(ji, jj ,jk) + zti(ji,jj + 1,jk) + rtrn) & |
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| 256 | & * rsc |
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| 257 | END DO |
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| 258 | END DO |
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| 259 | END DO |
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| 260 | |
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| 261 | DO jk = 2, jpkm1 |
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| 262 | DO jj = 2, jpjm1 |
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| 263 | DO ji = fs_2, fs_jpim1 ! Vector opt. |
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| 264 | zz(ji,jj,jk) = ( abs(zcc(ji,jj,jk)) - rdttrc(jk)*zcc(ji,jj,jk)**2 & |
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| 265 | & /( e1t(ji,jj)*e2t(ji,jj)*fse3w(ji,jj,jk) ) ) & |
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| 266 | & *( zti(ji,jj,jk) - zti(ji,jj,jk - 1) )/ & |
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| 267 | & ( zti(ji,jj,jk) + zti(ji,jj,jk - 1) + rtrn )* rsc*( -1.) |
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| 268 | END DO |
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| 269 | END DO |
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| 270 | END DO |
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| 271 | |
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| 272 | !--4.3 Cross terms |
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| 273 | CROSSTERMS: IF( crosster ) THEN |
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| 274 | ! |
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| 275 | DO jk = 2, jpkm1 |
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| 276 | DO jj = 2, jpjm1 |
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| 277 | DO ji = fs_2, fs_jpim1 ! Vector opt. |
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| 278 | zx(ji,jj,jk) = zx(ji,jj,jk) & |
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| 279 | & - 0.5*rdttrc(jk)*rsc*zaa(ji,jj,jk)*0.25* & |
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| 280 | & ( (zbb(ji ,jj - 1,jk ) + zbb(ji + 1,jj - 1 & |
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| 281 | & ,jk ) + zbb(ji + 1,jj ,jk ) + zbb(ji ,jj & |
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| 282 | & ,jk))* (zti(ji ,jj + 1,jk ) + zti(ji + 1,jj + & |
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| 283 | & 1,jk ) - zti(ji + 1,jj - 1,jk ) - zti(ji ,jj & |
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| 284 | & - 1,jk ))/ (zti(ji ,jj + 1,jk ) + zti(ji + 1 & |
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| 285 | & ,jj + 1,jk ) + zti(ji + 1,jj - 1,jk ) + zti(ji & |
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| 286 | & ,jj - 1,jk ) + rtrn) + (zcc(ji ,jj ,jk ) + & |
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| 287 | & zcc(ji + 1,jj ,jk ) + zcc(ji ,jj ,jk + 1) + & |
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| 288 | & zcc(ji + 1,jj ,jk + 1))* (zti(ji ,jj ,jk - 1) & |
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| 289 | & + zti(ji + 1,jj ,jk - 1) - zti(ji ,jj ,jk + 1 & |
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| 290 | & )- zti(ji + 1,jj ,jk + 1))/ (zti(ji ,jj ,jk - & |
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| 291 | & 1) + zti(ji + 1,jj ,jk - 1) + zti(ji ,jj ,jk & |
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| 292 | & +1) + zti(ji + 1,jj ,jk + 1) + rtrn))/(e1u(ji & |
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| 293 | & ,jj)*e2u(ji,jj)*fse3u(ji,jj,jk))*vmask(ji ,jj - & |
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| 294 | & 1,jk )*vmask(ji + 1,jj - 1,jk )*vmask(ji + 1 & |
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| 295 | & ,jj,jk)*vmask(ji ,jj ,jk )*tmask(ji ,jj ,jk & |
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| 296 | & )*tmask(ji + 1,jj ,jk )*tmask(ji ,jj ,jk + 1 & |
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| 297 | & )*tmask(ji + 1,jj ,jk + 1) |
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| 298 | zy(ji,jj,jk) = zy(ji,jj,jk) & |
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| 299 | & - 0.5*rdttrc(jk)*rsc*zbb(ji,jj,jk)*0.25* & |
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| 300 | & ( (zaa(ji - 1,jj ,jk ) + zaa(ji - 1,jj + 1 & |
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| 301 | & ,jk ) + zaa(ji ,jj ,jk ) + zaa(ji ,jj + 1 & |
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| 302 | & ,jk))* (zti(ji + 1,jj + 1,jk ) + zti(ji + 1,jj & |
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| 303 | & ,jk ) - zti(ji - 1,jj + 1,jk ) - zti(ji - 1,jj & |
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| 304 | & ,jk ))/ (zti(ji + 1,jj + 1,jk ) + zti(ji + 1 & |
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| 305 | & ,jj ,jk ) + zti(ji - 1,jj + 1,jk ) + zti(ji & |
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| 306 | & - 1,jj ,jk ) + rtrn) + (zcc(ji ,jj ,jk ) & |
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| 307 | & + zcc(ji ,jj ,jk + 1) + zcc(ji ,jj + 1,jk ) & |
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| 308 | & + zcc(ji ,jj + 1,jk + 1))* (zti(ji ,jj ,jk - & |
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| 309 | & 1) + zti(ji ,jj + 1,jk - 1) - zti(ji ,jj ,jk & |
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| 310 | & +1) - zti(ji ,jj + 1,jk + 1))/ (zti(ji ,jj & |
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| 311 | & ,jk- 1) + zti(ji ,jj + 1,jk - 1) + zti(ji ,jj & |
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| 312 | & ,jk+ 1) + zti(ji ,jj + 1,jk + 1) + rtrn)) & |
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| 313 | & /(e1v(ji,jj)*e2v(ji,jj)*fse3v(ji,jj,jk)) & |
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| 314 | & *umask(ji - 1,jj,jk )*umask(ji - 1,jj + 1,jk ) & |
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| 315 | & *umask(ji ,jj,jk )*umask(ji ,jj + 1,jk ) & |
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| 316 | & *tmask(ji ,jj,jk)*tmask(ji ,jj ,jk + 1) & |
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| 317 | & *tmask(ji ,jj + 1,jk)*tmask(ji ,jj + 1,jk + 1) |
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| 318 | zz(ji,jj,jk) = zz(ji,jj,jk) & |
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| 319 | & - 0.5*rdttrc(jk)*rsc*zcc(ji,jj,jk)*0.25* & |
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| 320 | & ( (zaa(ji - 1,jj ,jk ) + zaa(ji ,jj ,jk & |
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| 321 | & ) + zaa(ji ,jj ,jk - 1) + zaa(ji - 1,jj ,jk - & |
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| 322 | & 1))*(zti(ji + 1,jj ,jk - 1) + zti(ji + 1,jj & |
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| 323 | & ,jk ) - zti(ji - 1,jj ,jk ) - zti(ji - 1,jj & |
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| 324 | & ,jk - 1))/(zti(ji + 1,jj ,jk - 1) + zti(ji + 1 & |
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| 325 | & ,jj,jk ) + zti(ji - 1,jj ,jk ) + zti(ji - 1 & |
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| 326 | & ,jj,jk - 1) + rtrn) + (zbb(ji ,jj - 1,jk ) & |
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| 327 | & + zbb(ji ,jj ,jk ) + zbb(ji ,jj ,jk - 1) & |
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| 328 | & + zbb(ji ,jj - 1,jk - 1))*(zti(ji ,jj + 1,jk - & |
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| 329 | & 1) + zti(ji ,jj + 1,jk ) - zti(ji ,jj - 1,jk & |
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| 330 | & ) - zti(ji ,jj - 1,jk - 1))/(zti(ji ,jj + 1,jk & |
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| 331 | & - 1) + zti(ji ,jj + 1,jk ) + zti(ji ,jj - 1 & |
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| 332 | & ,jk ) + zti(ji ,jj - 1,jk - 1) + rtrn)) & |
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| 333 | & /(e1t(ji,jj)*e2t(ji,jj)*fse3w(ji,jj,jk)) & |
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| 334 | & *umask(ji - 1,jj,jk )*umask(ji ,jj ,jk ) & |
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| 335 | & *umask(ji ,jj,jk- 1)*umask(ji - 1,jj ,jk - 1) & |
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| 336 | & *vmask(ji ,jj- 1,jk)*vmask(ji ,jj ,jk ) & |
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| 337 | & *vmask(ji ,jj ,jk-1)*vmask(ji ,jj - 1,jk - 1) |
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| 338 | END DO |
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| 339 | END DO |
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| 340 | END DO |
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| 341 | |
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| 342 | DO jj = 2,jpjm1 |
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| 343 | DO ji = fs_2, fs_jpim1 ! Vector opt. |
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| 344 | zx(ji,jj,1) = zx(ji,jj,1) & |
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| 345 | & - 0.5*rdttrc(jk)*rsc*zaa(ji,jj,1)*0.25* & |
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| 346 | & ( (zbb(ji ,jj - 1,1 ) + zbb(ji + 1,jj - 1,1 ) & |
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| 347 | & + zbb(ji + 1,jj ,1 ) + zbb(ji ,jj ,1 )) & |
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| 348 | & *(zti(ji ,jj + 1,1 ) + zti(ji + 1,jj + 1,1 ) & |
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| 349 | & - zti(ji + 1,jj - 1,1 ) - zti(ji ,jj - 1,1 )) & |
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| 350 | & /(zti(ji ,jj + 1,1 ) + zti(ji + 1,jj + 1,1 ) & |
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| 351 | & + zti(ji + 1,jj - 1,1 ) + zti(ji ,jj - 1,1 ) + & |
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| 352 | & rtrn))/(e1u(ji,jj)*e2u(ji,jj)*fse3u(ji,jj,1)) & |
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| 353 | & *vmask(ji ,jj - 1,1 )*vmask(ji + 1,jj - 1,1 ) & |
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| 354 | & *vmask(ji + 1,jj ,1 )*vmask(ji ,jj ,1 ) |
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| 355 | zy(ji,jj,1) = zy(ji,jj,1) & |
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| 356 | & - 0.5*rdttrc(jk)*rsc*zbb(ji,jj,1)*0.25* & |
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| 357 | & ( (zaa(ji-1 ,jj ,1 ) + zaa(ji - 1,jj + 1,1 ) & |
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| 358 | & + zaa(ji ,jj ,1 ) + zaa(ji ,jj + 1 ,1 )) & |
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| 359 | & *(zti(ji + 1,jj + 1,1 ) + zti(ji + 1,jj ,1 ) & |
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| 360 | & - zti(ji - 1,jj + 1,1 ) - zti(ji - 1,jj ,1 )) & |
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| 361 | & /(zti(ji + 1,jj + 1,1 ) + zti(ji + 1,jj ,1 ) & |
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| 362 | & + zti(ji - 1,jj + 1,1 ) + zti(ji - 1,jj ,1 ) + & |
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| 363 | & rtrn))/(e1v(ji,jj)*e2v(ji,jj)*fse3v(ji,jj,1)) & |
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| 364 | & *umask(ji - 1,jj,1 )*umask(ji - 1,jj + 1,1 ) & |
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| 365 | & *umask(ji ,jj,1 )*umask(ji ,jj + 1 ,1 ) |
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| 366 | END DO |
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| 367 | END DO |
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| 368 | ! |
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| 369 | ENDIF CROSSTERMS |
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| 370 | |
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| 371 | ! ... Lateral boundary conditions on z[xyz] |
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| 372 | CALL lbc_lnk( zx, 'U', -1. ) ; CALL lbc_lnk( zy, 'V', -1. ) |
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| 373 | CALL lbc_lnk( zz, 'W', 1. ) |
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[941] | 374 | |
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[1175] | 375 | !--4.4 Reinitialization |
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| 376 | zaa(:,:,:) = zx(:,:,:) |
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| 377 | zbb(:,:,:) = zy(:,:,:) |
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| 378 | zcc(:,:,:) = zz(:,:,:) |
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[941] | 379 | |
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[1175] | 380 | ! 5. Advection by antidiffusive mass fluxes & upstream scheme |
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| 381 | ! ----------------------------------------------------------- |
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| 382 | |
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| 383 | ! ... Horizontal |
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| 384 | DO jk = 1, jpk |
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| 385 | DO jj = 2, jpjm1 |
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| 386 | DO ji = fs_2, fs_jpim1 ! Vector opt. |
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| 387 | zfp_ui = 0.5 * ( zaa(ji,jj,jk) + ABS( zaa(ji,jj,jk) ) ) |
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| 388 | zfp_vj = 0.5 * ( zbb(ji,jj,jk) + ABS( zbb(ji,jj,jk) ) ) |
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| 389 | zfm_ui = 0.5 * ( zaa(ji,jj,jk) - ABS( zaa(ji,jj,jk) ) ) |
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| 390 | zfm_vj = 0.5 * ( zbb(ji,jj,jk) - ABS( zbb(ji,jj,jk) ) ) |
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| 391 | zkx(ji,jj,jk) = zfp_ui * zti(ji,jj,jk) + zfm_ui * zti(ji+1,jj ,jk) |
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| 392 | zky(ji,jj,jk) = zfp_vj * zti(ji,jj,jk) + zfm_vj * zti(ji ,jj+1,jk) |
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| 393 | END DO |
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| 394 | END DO |
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[941] | 395 | END DO |
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| 396 | |
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[1175] | 397 | ! ... Lateral boundary conditions on zk[xy] |
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| 398 | CALL lbc_lnk( zkx, 'U', -1. ) |
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| 399 | CALL lbc_lnk( zky, 'V', -1. ) |
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| 400 | |
---|
| 401 | ! ... Vertical |
---|
| 402 | DO jk = 2, jpk |
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| 403 | DO jj = 1, jpj |
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| 404 | DO ji = fs_2, fs_jpim1 ! Vector opt. |
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| 405 | zfp_w = 0.5 * ( zcc(ji,jj,jk) + ABS( zcc(ji,jj,jk) ) ) |
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| 406 | zfm_w = 0.5 * ( zcc(ji,jj,jk) - ABS( zcc(ji,jj,jk) ) ) |
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| 407 | zkz(ji,jj,jk) = zfp_w * zti(ji,jj,jk) + zfm_w * zti(ji,jj,jk-1) |
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| 408 | END DO |
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| 409 | END DO |
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[941] | 410 | END DO |
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| 411 | |
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[1175] | 412 | ! ... Compute ztj |
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| 413 | DO jk = 1,jpkm1 |
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| 414 | DO jj = 2,jpjm1 |
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| 415 | DO ji = fs_2, fs_jpim1 ! Vector opt. |
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| 416 | zbtr = 1./(e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk)) |
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| 417 | ztj(ji,jj,jk) = - zbtr * & |
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| 418 | & ( zkx(ji,jj,jk) - zkx(ji-1,jj ,jk ) & |
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| 419 | & + zky(ji,jj,jk) - zky(ji ,jj-1,jk ) & |
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| 420 | & + zkz(ji,jj,jk) - zkz(ji ,jj ,jk+1) ) |
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| 421 | #if defined key_trc_diatrd |
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| 422 | IF (luttrd(jn)) trtrd(ji,jj,jk,ikeep(jn),1) = trtrd(ji,jj,jk,ikeep(jn),1) - & |
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| 423 | & zbtr*( zkx(ji,jj,jk) - zkx(ji - 1,jj,jk) ) |
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[941] | 424 | |
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[1175] | 425 | IF (luttrd(jn)) trtrd(ji,jj,jk,ikeep(jn),2) = trtrd(ji,jj,jk,ikeep(jn),2) - & |
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| 426 | & zbtr*( zky(ji,jj,jk) - zky(ji,jj - 1,jk) ) |
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[941] | 427 | |
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[1175] | 428 | IF (luttrd(jn)) trtrd(ji,jj,jk,ikeep(jn),3) = trtrd(ji,jj,jk,ikeep(jn),3) - & |
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| 429 | & zbtr*( zkz(ji,jj,jk) - zkz(ji,jj,jk + 1) ) |
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| 430 | #endif |
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[941] | 431 | |
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| 432 | END DO |
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[1175] | 433 | END DO |
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[941] | 434 | END DO |
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| 435 | |
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[1175] | 436 | ! 6. Diagnose passive tracer trends (part 2/3) |
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| 437 | ! -------------------------------------------- |
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| 438 | IF( l_trdtrc ) THEN |
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| 439 | DO jk = 1, jpkm1 |
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| 440 | DO jj = 2, jpjm1 |
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| 441 | DO ji = fs_2, fs_jpim1 ! Vector opt. |
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| 442 | zbtr = 1./(e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk)) |
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| 443 | ztrtrd(ji,jj,jk,1) = ztrtrd(ji,jj,jk,1) - zbtr*( zkx(ji,jj,jk) - zkx(ji - 1,jj,jk) ) |
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| 444 | ztrtrd(ji,jj,jk,2) = ztrtrd(ji,jj,jk,2) - zbtr*( zky(ji,jj,jk) - zky(ji,jj - 1,jk) ) |
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| 445 | ztrtrd(ji,jj,jk,3) = ztrtrd(ji,jj,jk,3) - zbtr*( zkz(ji,jj,jk) - zkz(ji,jj,jk + 1) ) |
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| 446 | END DO |
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| 447 | END DO |
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| 448 | END DO |
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| 449 | ENDIF |
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| 450 | ! ! ------------------------------------ |
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| 451 | END DO ! End of antidiffusive correction loop |
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| 452 | ! ! ------------------------------------ |
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[941] | 453 | |
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[1175] | 454 | ! 7. Trend due to horizontal and vertical advection of tracer jn |
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| 455 | ! -------------------------------------------------------------- |
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| 456 | |
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| 457 | DO jk = 1, jpk |
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| 458 | DO jj = 2, jpjm1 |
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| 459 | DO ji = fs_2, fs_jpim1 ! Vector opt. |
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| 460 | ztra = ( zbuf(ji,jj,jk) + ztj(ji,jj,jk) ) * tmask(ji,jj,jk) |
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| 461 | tra(ji,jj,jk,jn) = tra(ji,jj,jk,jn) + ztra |
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| 462 | END DO |
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[941] | 463 | END DO |
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[1175] | 464 | END DO |
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[941] | 465 | |
---|
| 466 | |
---|
[1175] | 467 | ! 8. Convert the transport trend into advection trend (part 3/3) |
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| 468 | ! -------------------------------------------------------------- |
---|
[941] | 469 | |
---|
[1175] | 470 | IF( l_trdtrc ) THEN |
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| 471 | ! ... Update the trends array |
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| 472 | DO jk = 1, jpk |
---|
| 473 | DO jj = 2, jpjm1 |
---|
| 474 | DO ji = fs_2, fs_jpim1 |
---|
| 475 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
---|
| 476 | zgm = zbtr * trn(ji,jj,jk,jn) * & |
---|
| 477 | & ( zun(ji ,jj,jk) * e2u(ji ,jj) * fse3u(ji ,jj,jk) & |
---|
| 478 | & - zun(ji-1,jj,jk) * e2u(ji-1,jj) * fse3u(ji-1,jj,jk) ) |
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| 479 | |
---|
| 480 | zgz = zbtr * trn(ji,jj,jk,jn) * & |
---|
| 481 | & ( zvn(ji,jj ,jk) * e1v(ji,jj ) * fse3v(ji,jj ,jk) & |
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| 482 | & - zvn(ji,jj-1,jk) * e1v(ji,jj-1) * fse3v(ji,jj-1,jk) ) |
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| 483 | |
---|
| 484 | ztrtrd(ji,jj,jk,1) = ztrtrd(ji,jj,jk,1) + zgm |
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| 485 | ztrtrd(ji,jj,jk,2) = ztrtrd(ji,jj,jk,2) + zgz |
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| 486 | ztrtrd(ji,jj,jk,3) = ztrtrd(ji,jj,jk,3) - trn(ji,jj,jk,jn) * hdivn(ji,jj,jk) |
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| 487 | END DO |
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| 488 | END DO |
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[941] | 489 | END DO |
---|
[1175] | 490 | |
---|
| 491 | ! ... Lateral boundary conditions on trtrd: |
---|
| 492 | CALL lbc_lnk( ztrtrd(:,:,:,1), 'T', 1. ) |
---|
| 493 | CALL lbc_lnk( ztrtrd(:,:,:,2), 'T', 1. ) |
---|
| 494 | CALL lbc_lnk( ztrtrd(:,:,:,3), 'T', 1. ) |
---|
| 495 | |
---|
| 496 | ! ... Miscellaneous trends diagnostics |
---|
| 497 | IF (luttrd(jn)) CALL trd_mod_trc( ztrtrd(:,:,:,1), jn, jptrc_trd_xad, kt ) |
---|
| 498 | IF (luttrd(jn)) CALL trd_mod_trc( ztrtrd(:,:,:,2), jn, jptrc_trd_yad, kt ) |
---|
| 499 | IF (luttrd(jn)) CALL trd_mod_trc( ztrtrd(:,:,:,3), jn, jptrc_trd_zad, kt ) |
---|
| 500 | ENDIF |
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[941] | 501 | |
---|
[1175] | 502 | ! Convert the transport trend into advection trend |
---|
| 503 | ! --------------------------------------------------- |
---|
[941] | 504 | |
---|
| 505 | #if defined key_trc_diatrd |
---|
| 506 | DO jk = 1,jpk |
---|
| 507 | DO jj = 2,jpjm1 |
---|
[1175] | 508 | DO ji = fs_2, fs_jpim1 ! Vector opt. |
---|
| 509 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
---|
| 510 | zgm = zbtr * trn(ji,jj,jk,jn) * & |
---|
| 511 | & ( zun(ji ,jj,jk) * e2u(ji ,jj) * fse3u(ji ,jj,jk) & |
---|
| 512 | & - zun(ji-1,jj,jk) * e2u(ji-1,jj) * fse3u(ji-1,jj,jk) ) |
---|
[941] | 513 | |
---|
[1175] | 514 | zgz = zbtr * trn(ji,jj,jk,jn) * & |
---|
| 515 | & ( zvn(ji,jj ,jk) * e1v(ji,jj ) * fse3v(ji,jj ,jk) & |
---|
| 516 | & - zvn(ji,jj-1,jk) * e1v(ji,jj-1) * fse3v(ji,jj-1,jk) ) |
---|
[941] | 517 | |
---|
[1175] | 518 | IF (luttrd(jn)) trtrd(ji,jj,jk,ikeep(jn),1) = trtrd(ji,jj,jk,ikeep(jn),1) + zgm |
---|
| 519 | IF (luttrd(jn)) trtrd(ji,jj,jk,ikeep(jn),2) = trtrd(ji,jj,jk,ikeep(jn),2) + zgz |
---|
| 520 | IF (luttrd(jn)) trtrd(ji,jj,jk,ikeep(jn),3) = trtrd(ji,jj,jk,ikeep(jn),3) & |
---|
| 521 | & - trn(ji,jj,jk,jn) * hdivn(ji,jj,jk) |
---|
| 522 | END DO |
---|
[941] | 523 | END DO |
---|
[1175] | 524 | END DO |
---|
[941] | 525 | |
---|
[1175] | 526 | ! Lateral boundary conditions on trtrd |
---|
| 527 | IF (luttrd(jn)) CALL lbc_lnk( trtrd(:,:,:,ikeep(jn),1), 'T', 1. ) |
---|
| 528 | IF (luttrd(jn)) CALL lbc_lnk( trtrd(:,:,:,ikeep(jn),2), 'T', 1. ) |
---|
| 529 | IF (luttrd(jn)) CALL lbc_lnk( trtrd(:,:,:,ikeep(jn),3), 'T', 1. ) |
---|
[941] | 530 | #endif |
---|
| 531 | |
---|
[1175] | 532 | |
---|
| 533 | ! ! ================== |
---|
| 534 | END DO ! END of tracer loop |
---|
| 535 | ! ! ================== |
---|
| 536 | |
---|
| 537 | IF( l_trdtrc ) DEALLOCATE( ztrtrd ) |
---|
[941] | 538 | |
---|
[1175] | 539 | IF( ln_ctl ) THEN ! print mean trends (used for debugging) |
---|
| 540 | WRITE(charout, FMT="('smolar - adv')") |
---|
| 541 | CALL prt_ctl_trc_info(charout) |
---|
| 542 | CALL prt_ctl_trc(tab4d=tra, mask=tmask, clinfo=ctrcnm,clinfo2='trd') |
---|
| 543 | ENDIF |
---|
| 544 | |
---|
[941] | 545 | END SUBROUTINE trc_adv_smolar |
---|
| 546 | |
---|
| 547 | #else |
---|
| 548 | !!---------------------------------------------------------------------- |
---|
| 549 | !! Default option Empty module |
---|
| 550 | !!---------------------------------------------------------------------- |
---|
| 551 | CONTAINS |
---|
| 552 | SUBROUTINE trc_adv_smolar( kt ) |
---|
| 553 | INTEGER, INTENT(in) :: kt |
---|
| 554 | WRITE(*,*) 'trc_adv_smolar: You should not have seen this print! error?', kt |
---|
| 555 | END SUBROUTINE trc_adv_smolar |
---|
| 556 | #endif |
---|
| 557 | |
---|
| 558 | !!====================================================================== |
---|
| 559 | END MODULE trcadv_smolar |
---|