[3] | 1 | MODULE traadv_muscl2 |
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[2715] | 2 | !!====================================================================== |
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[3] | 3 | !! *** MODULE traadv_muscl2 *** |
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[2528] | 4 | !! Ocean tracers: horizontal & vertical advective trend |
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[2715] | 5 | !!====================================================================== |
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[2528] | 6 | !! History : 1.0 ! 2002-06 (G. Madec) from traadv_muscl |
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| 7 | !! 3.2 ! 2010-05 (C. Ethe, G. Madec) merge TRC-TRA + switch from velocity to transport |
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[503] | 8 | !!---------------------------------------------------------------------- |
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[3] | 9 | |
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| 10 | !!---------------------------------------------------------------------- |
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| 11 | !! tra_adv_muscl2 : update the tracer trend with the horizontal |
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| 12 | !! and vertical advection trends using MUSCL2 scheme |
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| 13 | !!---------------------------------------------------------------------- |
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| 14 | USE oce ! ocean dynamics and active tracers |
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| 15 | USE dom_oce ! ocean space and time domain |
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[2528] | 16 | USE trdmod_oce ! tracers trends |
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| 17 | USE trdtra ! tracers trends |
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[3] | 18 | USE in_out_manager ! I/O manager |
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[367] | 19 | USE dynspg_oce ! choice/control of key cpp for surface pressure gradient |
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[216] | 20 | USE trabbl ! tracers: bottom boundary layer |
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[2528] | 21 | USE lib_mpp ! distribued memory computing |
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[67] | 22 | USE lbclnk ! ocean lateral boundary condition (or mpp link) |
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[132] | 23 | USE diaptr ! poleward transport diagnostics |
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[2528] | 24 | USE trc_oce ! share passive tracers/Ocean variables |
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[3294] | 25 | USE wrk_nemo ! Memory Allocation |
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| 26 | USE timing ! Timing |
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[3625] | 27 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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[3] | 28 | |
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| 29 | IMPLICIT NONE |
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| 30 | PRIVATE |
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| 31 | |
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[2528] | 32 | PUBLIC tra_adv_muscl2 ! routine called by step.F90 |
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[3] | 33 | |
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[2528] | 34 | LOGICAL :: l_trd ! flag to compute trends |
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| 35 | |
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[3] | 36 | !! * Substitutions |
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| 37 | # include "domzgr_substitute.h90" |
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| 38 | # include "vectopt_loop_substitute.h90" |
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| 39 | !!---------------------------------------------------------------------- |
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[2528] | 40 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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[1152] | 41 | !! $Id$ |
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[2528] | 42 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[3] | 43 | !!---------------------------------------------------------------------- |
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| 44 | CONTAINS |
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| 45 | |
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[3294] | 46 | SUBROUTINE tra_adv_muscl2( kt, kit000, cdtype, p2dt, pun, pvn, pwn, & |
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[2528] | 47 | & ptb, ptn, pta, kjpt ) |
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[3] | 48 | !!---------------------------------------------------------------------- |
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| 49 | !! *** ROUTINE tra_adv_muscl2 *** |
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| 50 | !! |
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[216] | 51 | !! ** Purpose : Compute the now trend due to total advection of T and |
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| 52 | !! S using a MUSCL scheme (Monotone Upstream-centered Scheme for |
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| 53 | !! Conservation Laws) and add it to the general tracer trend. |
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[3] | 54 | !! |
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[216] | 55 | !! ** Method : MUSCL scheme plus centered scheme at ocean boundaries |
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[3] | 56 | !! |
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[2528] | 57 | !! ** Action : - update (pta) with the now advective tracer trends |
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| 58 | !! - save trends |
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[3] | 59 | !! |
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[503] | 60 | !! References : Estubier, A., and M. Levy, Notes Techn. Pole de Modelisation |
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| 61 | !! IPSL, Sept. 2000 (http://www.lodyc.jussieu.fr/opa) |
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| 62 | !!---------------------------------------------------------------------- |
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[3294] | 63 | USE oce , ONLY: zwx => ua , zwy => va ! (ua,va) used as 3D workspace |
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[3] | 64 | !! |
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[2528] | 65 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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[3294] | 66 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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[2528] | 67 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 68 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 69 | REAL(wp), DIMENSION( jpk ), INTENT(in ) :: p2dt ! vertical profile of tracer time-step |
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| 70 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pun, pvn, pwn ! 3 ocean velocity components |
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| 71 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb, ptn ! before & now tracer fields |
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| 72 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
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[503] | 73 | !! |
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[2528] | 74 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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[2715] | 75 | REAL(wp) :: zu, z0u, zzwx, zw ! local scalars |
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| 76 | REAL(wp) :: zv, z0v, zzwy, z0w ! - - |
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| 77 | REAL(wp) :: ztra, zbtr, zdt, zalpha ! - - |
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[3294] | 78 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zslpx, zslpy |
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[3] | 79 | !!---------------------------------------------------------------------- |
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[3294] | 80 | ! |
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| 81 | IF( nn_timing == 1 ) CALL timing_start('tra_adv_muscl2') |
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| 82 | ! |
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| 83 | CALL wrk_alloc( jpi, jpj, jpk, zslpx, zslpy ) |
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| 84 | ! |
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[3] | 85 | |
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[3294] | 86 | IF( kt == kit000 ) THEN |
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[2528] | 87 | IF(lwp) WRITE(numout,*) |
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| 88 | IF(lwp) WRITE(numout,*) 'tra_adv_muscl2 : MUSCL2 advection scheme on ', cdtype |
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| 89 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~' |
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| 90 | ! |
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| 91 | l_trd = .FALSE. |
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[2715] | 92 | IF( ( cdtype == 'TRA' .AND. l_trdtra ) .OR. ( cdtype == 'TRC' .AND. l_trdtrc ) ) l_trd = .TRUE. |
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[3] | 93 | ENDIF |
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| 94 | |
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[2528] | 95 | ! ! =========== |
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| 96 | DO jn = 1, kjpt ! tracer loop |
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| 97 | ! ! =========== |
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| 98 | ! I. Horizontal advective fluxes |
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| 99 | ! ------------------------------ |
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| 100 | ! first guess of the slopes |
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| 101 | zwx(:,:,jpk) = 0.e0 ; zwy(:,:,jpk) = 0.e0 ! bottom values |
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| 102 | ! interior values |
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| 103 | DO jk = 1, jpkm1 |
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| 104 | DO jj = 1, jpjm1 |
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| 105 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 106 | zwx(ji,jj,jk) = umask(ji,jj,jk) * ( ptb(ji+1,jj,jk,jn) - ptb(ji,jj,jk,jn) ) |
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| 107 | zwy(ji,jj,jk) = vmask(ji,jj,jk) * ( ptb(ji,jj+1,jk,jn) - ptb(ji,jj,jk,jn) ) |
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| 108 | END DO |
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| 109 | END DO |
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[3] | 110 | END DO |
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[2528] | 111 | ! |
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| 112 | CALL lbc_lnk( zwx, 'U', -1. ) ! lateral boundary conditions on zwx, zwy (changed sign) |
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| 113 | CALL lbc_lnk( zwy, 'V', -1. ) |
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| 114 | ! !-- Slopes of tracer |
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| 115 | zslpx(:,:,jpk) = 0.e0 ; zslpy(:,:,jpk) = 0.e0 ! bottom values |
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| 116 | DO jk = 1, jpkm1 ! interior values |
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| 117 | DO jj = 2, jpj |
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| 118 | DO ji = fs_2, jpi ! vector opt. |
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| 119 | zslpx(ji,jj,jk) = ( zwx(ji,jj,jk) + zwx(ji-1,jj ,jk) ) & |
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| 120 | & * ( 0.25 + SIGN( 0.25, zwx(ji,jj,jk) * zwx(ji-1,jj ,jk) ) ) |
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| 121 | zslpy(ji,jj,jk) = ( zwy(ji,jj,jk) + zwy(ji ,jj-1,jk) ) & |
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| 122 | & * ( 0.25 + SIGN( 0.25, zwy(ji,jj,jk) * zwy(ji ,jj-1,jk) ) ) |
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| 123 | END DO |
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[3] | 124 | END DO |
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| 125 | END DO |
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[2528] | 126 | ! |
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| 127 | DO jk = 1, jpkm1 ! Slopes limitation |
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| 128 | DO jj = 2, jpj |
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| 129 | DO ji = fs_2, jpi ! vector opt. |
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| 130 | zslpx(ji,jj,jk) = SIGN( 1., zslpx(ji,jj,jk) ) * MIN( ABS( zslpx(ji ,jj,jk) ), & |
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| 131 | & 2.*ABS( zwx (ji-1,jj,jk) ), & |
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| 132 | & 2.*ABS( zwx (ji ,jj,jk) ) ) |
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| 133 | zslpy(ji,jj,jk) = SIGN( 1., zslpy(ji,jj,jk) ) * MIN( ABS( zslpy(ji,jj ,jk) ), & |
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| 134 | & 2.*ABS( zwy (ji,jj-1,jk) ), & |
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| 135 | & 2.*ABS( zwy (ji,jj ,jk) ) ) |
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| 136 | END DO |
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| 137 | END DO |
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| 138 | END DO ! interior values |
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[3] | 139 | |
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[2528] | 140 | ! !-- MUSCL horizontal advective fluxes |
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| 141 | DO jk = 1, jpkm1 ! interior values |
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| 142 | zdt = p2dt(jk) |
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| 143 | DO jj = 2, jpjm1 |
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| 144 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 145 | ! MUSCL fluxes |
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| 146 | z0u = SIGN( 0.5, pun(ji,jj,jk) ) |
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| 147 | zalpha = 0.5 - z0u |
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| 148 | zu = z0u - 0.5 * pun(ji,jj,jk) * zdt / ( e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) ) |
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| 149 | zzwx = ptb(ji+1,jj,jk,jn) + zu * zslpx(ji+1,jj,jk) |
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| 150 | zzwy = ptb(ji ,jj,jk,jn) + zu * zslpx(ji ,jj,jk) |
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| 151 | zwx(ji,jj,jk) = pun(ji,jj,jk) * ( zalpha * zzwx + (1.-zalpha) * zzwy ) |
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| 152 | ! |
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| 153 | z0v = SIGN( 0.5, pvn(ji,jj,jk) ) |
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| 154 | zalpha = 0.5 - z0v |
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| 155 | zv = z0v - 0.5 * pvn(ji,jj,jk) * zdt / ( e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) ) |
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| 156 | zzwx = ptb(ji,jj+1,jk,jn) + zv * zslpy(ji,jj+1,jk) |
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| 157 | zzwy = ptb(ji,jj ,jk,jn) + zv * zslpy(ji,jj ,jk) |
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| 158 | zwy(ji,jj,jk) = pvn(ji,jj,jk) * ( zalpha * zzwx + (1.-zalpha) * zzwy ) |
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| 159 | END DO |
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[3] | 160 | END DO |
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| 161 | END DO |
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| 162 | |
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[2528] | 163 | !! centered scheme at lateral b.C. if off-shore velocity |
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[503] | 164 | DO jk = 1, jpkm1 |
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| 165 | DO jj = 2, jpjm1 |
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| 166 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[2528] | 167 | IF( umask(ji,jj,jk) == 0. ) THEN |
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| 168 | IF( pun(ji+1,jj,jk) > 0. .AND. ji /= jpi ) THEN |
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| 169 | zwx(ji+1,jj,jk) = 0.5 * pun(ji+1,jj,jk) * ( ptn(ji+1,jj,jk,jn) + ptn(ji+2,jj,jk,jn) ) |
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| 170 | ENDIF |
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| 171 | IF( pun(ji-1,jj,jk) < 0. ) THEN |
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| 172 | zwx(ji-1,jj,jk) = 0.5 * pun(ji-1,jj,jk) * ( ptn(ji-1,jj,jk,jn) + ptn(ji,jj,jk,jn) ) |
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| 173 | ENDIF |
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| 174 | ENDIF |
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| 175 | IF( vmask(ji,jj,jk) == 0. ) THEN |
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| 176 | IF( pvn(ji,jj+1,jk) > 0. .AND. jj /= jpj ) THEN |
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| 177 | zwy(ji,jj+1,jk) = 0.5 * pvn(ji,jj+1,jk) * ( ptn(ji,jj+1,jk,jn) + ptn(ji,jj+2,jk,jn) ) |
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| 178 | ENDIF |
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| 179 | IF( pvn(ji,jj-1,jk) < 0. ) THEN |
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| 180 | zwy(ji,jj-1,jk) = 0.5 * pvn(ji,jj-1,jk) * ( ptn(ji,jj-1,jk,jn) + ptn(ji,jj,jk,jn) ) |
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| 181 | ENDIF |
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| 182 | ENDIF |
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[503] | 183 | END DO |
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| 184 | END DO |
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| 185 | END DO |
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[2528] | 186 | CALL lbc_lnk( zwx, 'U', -1. ) ; CALL lbc_lnk( zwy, 'V', -1. ) ! lateral boundary condition (changed sign) |
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[216] | 187 | |
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[2528] | 188 | ! Tracer flux divergence at t-point added to the general trend |
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[503] | 189 | DO jk = 1, jpkm1 |
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| 190 | DO jj = 2, jpjm1 |
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| 191 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[2528] | 192 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 193 | ! horizontal advective trends |
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| 194 | ztra = - zbtr * ( zwx(ji,jj,jk) - zwx(ji-1,jj ,jk ) & |
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| 195 | & + zwy(ji,jj,jk) - zwy(ji ,jj-1,jk ) ) |
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| 196 | ! added to the general tracer trends |
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| 197 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra |
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[503] | 198 | END DO |
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[2528] | 199 | END DO |
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[503] | 200 | END DO |
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[2528] | 201 | ! ! trend diagnostics (contribution of upstream fluxes) |
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| 202 | IF( l_trd ) THEN |
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| 203 | CALL trd_tra( kt, cdtype, jn, jptra_trd_xad, zwx, pun, ptb(:,:,:,jn) ) |
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| 204 | CALL trd_tra( kt, cdtype, jn, jptra_trd_yad, zwy, pvn, ptb(:,:,:,jn) ) |
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| 205 | END IF |
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[216] | 206 | |
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[2528] | 207 | ! ! "Poleward" heat and salt transports (contribution of upstream fluxes) |
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| 208 | IF( cdtype == 'TRA' .AND. ln_diaptr .AND. ( MOD( kt, nn_fptr ) == 0 ) ) THEN |
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| 209 | IF( jn == jp_tem ) htr_adv(:) = ptr_vj( zwy(:,:,:) ) |
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| 210 | IF( jn == jp_sal ) str_adv(:) = ptr_vj( zwy(:,:,:) ) |
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| 211 | ENDIF |
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[216] | 212 | |
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[2528] | 213 | ! II. Vertical advective fluxes |
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| 214 | ! ----------------------------- |
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| 215 | ! !-- first guess of the slopes |
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| 216 | zwx (:,:, 1 ) = 0.e0 ; zwx (:,:,jpk) = 0.e0 ! surface & bottom boundary conditions |
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| 217 | DO jk = 2, jpkm1 ! interior values |
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| 218 | zwx(:,:,jk) = tmask(:,:,jk) * ( ptb(:,:,jk-1,jn) - ptb(:,:,jk,jn) ) |
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| 219 | END DO |
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[97] | 220 | |
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[2528] | 221 | ! !-- Slopes of tracer |
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| 222 | zslpx(:,:,1) = 0.e0 ! surface values |
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| 223 | DO jk = 2, jpkm1 ! interior value |
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| 224 | DO jj = 1, jpj |
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| 225 | DO ji = 1, jpi |
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| 226 | zslpx(ji,jj,jk) = ( zwx(ji,jj,jk) + zwx(ji,jj,jk+1) ) & |
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| 227 | & * ( 0.25 + SIGN( 0.25, zwx(ji,jj,jk) * zwx(ji,jj,jk+1) ) ) |
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[3] | 228 | END DO |
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| 229 | END DO |
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| 230 | END DO |
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[2528] | 231 | ! !-- Slopes limitation |
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| 232 | DO jk = 2, jpkm1 ! interior values |
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| 233 | DO jj = 1, jpj |
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| 234 | DO ji = 1, jpi |
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| 235 | zslpx(ji,jj,jk) = SIGN( 1., zslpx(ji,jj,jk) ) * MIN( ABS( zslpx(ji,jj,jk ) ), & |
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| 236 | & 2.*ABS( zwx (ji,jj,jk+1) ), & |
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| 237 | & 2.*ABS( zwx (ji,jj,jk ) ) ) |
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| 238 | END DO |
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[3] | 239 | END DO |
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| 240 | END DO |
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[2528] | 241 | ! !-- vertical advective flux |
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| 242 | ! ! surface values (bottom already set to zero) |
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| 243 | IF( lk_vvl ) THEN ; zwx(:,:, 1 ) = 0.e0 ! variable volume |
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| 244 | ELSE ; zwx(:,:, 1 ) = pwn(:,:,1) * ptb(:,:,1,jn) ! linear free surface |
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| 245 | ENDIF |
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| 246 | ! |
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| 247 | DO jk = 1, jpkm1 ! interior values |
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| 248 | zdt = p2dt(jk) |
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| 249 | DO jj = 2, jpjm1 |
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| 250 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 251 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3w(ji,jj,jk+1) ) |
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| 252 | z0w = SIGN( 0.5, pwn(ji,jj,jk+1) ) |
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| 253 | zalpha = 0.5 + z0w |
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| 254 | zw = z0w - 0.5 * pwn(ji,jj,jk+1) * zdt * zbtr |
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| 255 | zzwx = ptb(ji,jj,jk+1,jn) + zw * zslpx(ji,jj,jk+1) |
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| 256 | zzwy = ptb(ji,jj,jk ,jn) + zw * zslpx(ji,jj,jk ) |
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| 257 | zwx(ji,jj,jk+1) = pwn(ji,jj,jk+1) * ( zalpha * zzwx + (1.-zalpha) * zzwy ) |
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| 258 | END DO |
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[3] | 259 | END DO |
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| 260 | END DO |
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[2528] | 261 | ! |
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| 262 | DO jk = 2, jpkm1 ! centered near the bottom |
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| 263 | DO jj = 2, jpjm1 |
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| 264 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 265 | IF( tmask(ji,jj,jk+1) == 0. ) THEN |
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| 266 | IF( pwn(ji,jj,jk) > 0. ) THEN |
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| 267 | zwx(ji,jj,jk) = 0.5 * pwn(ji,jj,jk) * ( ptn(ji,jj,jk-1,jn) + ptn(ji,jj,jk,jn) ) |
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| 268 | ENDIF |
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[3] | 269 | ENDIF |
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[2528] | 270 | END DO |
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[3] | 271 | END DO |
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| 272 | END DO |
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[2528] | 273 | ! |
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| 274 | DO jk = 1, jpkm1 ! Compute & add the vertical advective trend |
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| 275 | DO jj = 2, jpjm1 |
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[503] | 276 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[2528] | 277 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 278 | ! vertical advective trends |
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| 279 | ztra = - zbtr * ( zwx(ji,jj,jk) - zwx(ji,jj,jk+1) ) |
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| 280 | ! added to the general tracer trends |
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| 281 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra |
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[503] | 282 | END DO |
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| 283 | END DO |
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| 284 | END DO |
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[2528] | 285 | ! ! trend diagnostics (contribution of upstream fluxes) |
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| 286 | IF( l_trd ) CALL trd_tra( kt, cdtype, jn, jptra_trd_zad, zwx, pwn, ptb(:,:,:,jn) ) |
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[503] | 287 | ! |
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[2528] | 288 | END DO |
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[503] | 289 | ! |
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[3294] | 290 | CALL wrk_dealloc( jpi, jpj, jpk, zslpx, zslpy ) |
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[2715] | 291 | ! |
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[3294] | 292 | IF( nn_timing == 1 ) CALL timing_stop('tra_adv_muscl2') |
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| 293 | ! |
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[3] | 294 | END SUBROUTINE tra_adv_muscl2 |
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| 295 | |
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| 296 | !!====================================================================== |
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| 297 | END MODULE traadv_muscl2 |
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