[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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[4990] | 15 | USE trc_oce ! share passive tracers/Ocean variables |
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[3] | 16 | USE dom_oce ! ocean space and time domain |
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[4990] | 17 | USE trd_oce ! trends: ocean variables |
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| 18 | USE trdtra ! trends manager: tracers |
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[3] | 19 | USE in_out_manager ! I/O manager |
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[367] | 20 | USE dynspg_oce ! choice/control of key cpp for surface pressure gradient |
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[4990] | 21 | USE diaptr ! poleward transport diagnostics |
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| 22 | ! |
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[2528] | 23 | USE lib_mpp ! distribued memory computing |
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[67] | 24 | USE lbclnk ! ocean lateral boundary condition (or mpp link) |
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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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| 34 | !! * Substitutions |
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| 35 | # include "domzgr_substitute.h90" |
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| 36 | # include "vectopt_loop_substitute.h90" |
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| 37 | !!---------------------------------------------------------------------- |
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[2528] | 38 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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[5815] | 39 | !! $Id$ |
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[2528] | 40 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[3] | 41 | !!---------------------------------------------------------------------- |
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| 42 | CONTAINS |
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| 43 | |
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[3294] | 44 | SUBROUTINE tra_adv_muscl2( kt, kit000, cdtype, p2dt, pun, pvn, pwn, & |
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[2528] | 45 | & ptb, ptn, pta, kjpt ) |
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[3] | 46 | !!---------------------------------------------------------------------- |
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| 47 | !! *** ROUTINE tra_adv_muscl2 *** |
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| 48 | !! |
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[216] | 49 | !! ** Purpose : Compute the now trend due to total advection of T and |
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| 50 | !! S using a MUSCL scheme (Monotone Upstream-centered Scheme for |
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| 51 | !! Conservation Laws) and add it to the general tracer trend. |
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[3] | 52 | !! |
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[216] | 53 | !! ** Method : MUSCL scheme plus centered scheme at ocean boundaries |
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[3] | 54 | !! |
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[2528] | 55 | !! ** Action : - update (pta) with the now advective tracer trends |
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| 56 | !! - save trends |
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[3] | 57 | !! |
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[503] | 58 | !! References : Estubier, A., and M. Levy, Notes Techn. Pole de Modelisation |
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| 59 | !! IPSL, Sept. 2000 (http://www.lodyc.jussieu.fr/opa) |
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| 60 | !!---------------------------------------------------------------------- |
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[2528] | 61 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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[3294] | 62 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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[2528] | 63 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 64 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 65 | REAL(wp), DIMENSION( jpk ), INTENT(in ) :: p2dt ! vertical profile of tracer time-step |
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| 66 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pun, pvn, pwn ! 3 ocean velocity components |
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| 67 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb, ptn ! before & now tracer fields |
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| 68 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
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[503] | 69 | !! |
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[2528] | 70 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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[2715] | 71 | REAL(wp) :: zu, z0u, zzwx, zw ! local scalars |
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| 72 | REAL(wp) :: zv, z0v, zzwy, z0w ! - - |
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| 73 | REAL(wp) :: ztra, zbtr, zdt, zalpha ! - - |
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[4990] | 74 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zslpx, zslpy , zwx, zwy |
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[3] | 75 | !!---------------------------------------------------------------------- |
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[3294] | 76 | ! |
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| 77 | IF( nn_timing == 1 ) CALL timing_start('tra_adv_muscl2') |
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| 78 | ! |
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[4990] | 79 | CALL wrk_alloc( jpi, jpj, jpk, zslpx, zslpy, zwx, zwy ) |
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[3294] | 80 | ! |
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[3] | 81 | |
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[3294] | 82 | IF( kt == kit000 ) THEN |
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[2528] | 83 | IF(lwp) WRITE(numout,*) |
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| 84 | IF(lwp) WRITE(numout,*) 'tra_adv_muscl2 : MUSCL2 advection scheme on ', cdtype |
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| 85 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~' |
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[3] | 86 | ENDIF |
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[4499] | 87 | ! |
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[2528] | 88 | ! ! =========== |
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| 89 | DO jn = 1, kjpt ! tracer loop |
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| 90 | ! ! =========== |
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| 91 | ! I. Horizontal advective fluxes |
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| 92 | ! ------------------------------ |
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| 93 | ! first guess of the slopes |
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| 94 | zwx(:,:,jpk) = 0.e0 ; zwy(:,:,jpk) = 0.e0 ! bottom values |
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| 95 | ! interior values |
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| 96 | DO jk = 1, jpkm1 |
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| 97 | DO jj = 1, jpjm1 |
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| 98 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 99 | zwx(ji,jj,jk) = umask(ji,jj,jk) * ( ptb(ji+1,jj,jk,jn) - ptb(ji,jj,jk,jn) ) |
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| 100 | zwy(ji,jj,jk) = vmask(ji,jj,jk) * ( ptb(ji,jj+1,jk,jn) - ptb(ji,jj,jk,jn) ) |
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| 101 | END DO |
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| 102 | END DO |
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[3] | 103 | END DO |
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[2528] | 104 | ! |
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| 105 | CALL lbc_lnk( zwx, 'U', -1. ) ! lateral boundary conditions on zwx, zwy (changed sign) |
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| 106 | CALL lbc_lnk( zwy, 'V', -1. ) |
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| 107 | ! !-- Slopes of tracer |
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| 108 | zslpx(:,:,jpk) = 0.e0 ; zslpy(:,:,jpk) = 0.e0 ! bottom values |
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| 109 | DO jk = 1, jpkm1 ! interior values |
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| 110 | DO jj = 2, jpj |
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| 111 | DO ji = fs_2, jpi ! vector opt. |
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| 112 | zslpx(ji,jj,jk) = ( zwx(ji,jj,jk) + zwx(ji-1,jj ,jk) ) & |
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| 113 | & * ( 0.25 + SIGN( 0.25, zwx(ji,jj,jk) * zwx(ji-1,jj ,jk) ) ) |
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| 114 | zslpy(ji,jj,jk) = ( zwy(ji,jj,jk) + zwy(ji ,jj-1,jk) ) & |
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| 115 | & * ( 0.25 + SIGN( 0.25, zwy(ji,jj,jk) * zwy(ji ,jj-1,jk) ) ) |
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| 116 | END DO |
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[3] | 117 | END DO |
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| 118 | END DO |
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[2528] | 119 | ! |
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| 120 | DO jk = 1, jpkm1 ! Slopes limitation |
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| 121 | DO jj = 2, jpj |
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| 122 | DO ji = fs_2, jpi ! vector opt. |
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| 123 | zslpx(ji,jj,jk) = SIGN( 1., zslpx(ji,jj,jk) ) * MIN( ABS( zslpx(ji ,jj,jk) ), & |
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| 124 | & 2.*ABS( zwx (ji-1,jj,jk) ), & |
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| 125 | & 2.*ABS( zwx (ji ,jj,jk) ) ) |
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| 126 | zslpy(ji,jj,jk) = SIGN( 1., zslpy(ji,jj,jk) ) * MIN( ABS( zslpy(ji,jj ,jk) ), & |
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| 127 | & 2.*ABS( zwy (ji,jj-1,jk) ), & |
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| 128 | & 2.*ABS( zwy (ji,jj ,jk) ) ) |
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| 129 | END DO |
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| 130 | END DO |
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| 131 | END DO ! interior values |
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[3] | 132 | |
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[2528] | 133 | ! !-- MUSCL horizontal advective fluxes |
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| 134 | DO jk = 1, jpkm1 ! interior values |
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| 135 | zdt = p2dt(jk) |
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| 136 | DO jj = 2, jpjm1 |
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| 137 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 138 | ! MUSCL fluxes |
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| 139 | z0u = SIGN( 0.5, pun(ji,jj,jk) ) |
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| 140 | zalpha = 0.5 - z0u |
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| 141 | zu = z0u - 0.5 * pun(ji,jj,jk) * zdt / ( e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) ) |
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| 142 | zzwx = ptb(ji+1,jj,jk,jn) + zu * zslpx(ji+1,jj,jk) |
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| 143 | zzwy = ptb(ji ,jj,jk,jn) + zu * zslpx(ji ,jj,jk) |
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| 144 | zwx(ji,jj,jk) = pun(ji,jj,jk) * ( zalpha * zzwx + (1.-zalpha) * zzwy ) |
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| 145 | ! |
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| 146 | z0v = SIGN( 0.5, pvn(ji,jj,jk) ) |
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| 147 | zalpha = 0.5 - z0v |
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| 148 | zv = z0v - 0.5 * pvn(ji,jj,jk) * zdt / ( e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) ) |
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| 149 | zzwx = ptb(ji,jj+1,jk,jn) + zv * zslpy(ji,jj+1,jk) |
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| 150 | zzwy = ptb(ji,jj ,jk,jn) + zv * zslpy(ji,jj ,jk) |
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| 151 | zwy(ji,jj,jk) = pvn(ji,jj,jk) * ( zalpha * zzwx + (1.-zalpha) * zzwy ) |
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| 152 | END DO |
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[3] | 153 | END DO |
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| 154 | END DO |
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| 155 | |
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[2528] | 156 | !! centered scheme at lateral b.C. if off-shore velocity |
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[503] | 157 | DO jk = 1, jpkm1 |
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| 158 | DO jj = 2, jpjm1 |
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| 159 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[2528] | 160 | IF( umask(ji,jj,jk) == 0. ) THEN |
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| 161 | IF( pun(ji+1,jj,jk) > 0. .AND. ji /= jpi ) THEN |
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| 162 | 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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| 163 | ENDIF |
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| 164 | IF( pun(ji-1,jj,jk) < 0. ) THEN |
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| 165 | 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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| 166 | ENDIF |
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| 167 | ENDIF |
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| 168 | IF( vmask(ji,jj,jk) == 0. ) THEN |
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| 169 | IF( pvn(ji,jj+1,jk) > 0. .AND. jj /= jpj ) THEN |
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| 170 | 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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| 171 | ENDIF |
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| 172 | IF( pvn(ji,jj-1,jk) < 0. ) THEN |
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| 173 | 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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| 174 | ENDIF |
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| 175 | ENDIF |
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[503] | 176 | END DO |
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| 177 | END DO |
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| 178 | END DO |
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[2528] | 179 | CALL lbc_lnk( zwx, 'U', -1. ) ; CALL lbc_lnk( zwy, 'V', -1. ) ! lateral boundary condition (changed sign) |
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[216] | 180 | |
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[2528] | 181 | ! Tracer flux divergence at t-point added to the general trend |
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[503] | 182 | DO jk = 1, jpkm1 |
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| 183 | DO jj = 2, jpjm1 |
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| 184 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[2528] | 185 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 186 | ! horizontal advective trends |
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| 187 | ztra = - zbtr * ( zwx(ji,jj,jk) - zwx(ji-1,jj ,jk ) & |
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| 188 | & + zwy(ji,jj,jk) - zwy(ji ,jj-1,jk ) ) |
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| 189 | ! added to the general tracer trends |
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| 190 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra |
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[503] | 191 | END DO |
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[2528] | 192 | END DO |
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[503] | 193 | END DO |
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[2528] | 194 | ! ! trend diagnostics (contribution of upstream fluxes) |
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[4990] | 195 | IF( ( cdtype == 'TRA' .AND. l_trdtra ) .OR. & |
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| 196 | &( cdtype == 'TRC' .AND. l_trdtrc ) ) THEN |
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| 197 | CALL trd_tra( kt, cdtype, jn, jptra_xad, zwx, pun, ptb(:,:,:,jn) ) |
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| 198 | CALL trd_tra( kt, cdtype, jn, jptra_yad, zwy, pvn, ptb(:,:,:,jn) ) |
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[2528] | 199 | END IF |
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[216] | 200 | |
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[2528] | 201 | ! ! "Poleward" heat and salt transports (contribution of upstream fluxes) |
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[5147] | 202 | IF( cdtype == 'TRA' .AND. ln_diaptr ) THEN |
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| 203 | IF( jn == jp_tem ) htr_adv(:) = ptr_sj( zwy(:,:,:) ) |
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| 204 | IF( jn == jp_sal ) str_adv(:) = ptr_sj( zwy(:,:,:) ) |
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[2528] | 205 | ENDIF |
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[216] | 206 | |
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[2528] | 207 | ! II. Vertical advective fluxes |
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| 208 | ! ----------------------------- |
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| 209 | ! !-- first guess of the slopes |
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| 210 | zwx (:,:, 1 ) = 0.e0 ; zwx (:,:,jpk) = 0.e0 ! surface & bottom boundary conditions |
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| 211 | DO jk = 2, jpkm1 ! interior values |
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| 212 | zwx(:,:,jk) = tmask(:,:,jk) * ( ptb(:,:,jk-1,jn) - ptb(:,:,jk,jn) ) |
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| 213 | END DO |
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[97] | 214 | |
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[2528] | 215 | ! !-- Slopes of tracer |
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| 216 | zslpx(:,:,1) = 0.e0 ! surface values |
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| 217 | DO jk = 2, jpkm1 ! interior value |
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| 218 | DO jj = 1, jpj |
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| 219 | DO ji = 1, jpi |
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| 220 | zslpx(ji,jj,jk) = ( zwx(ji,jj,jk) + zwx(ji,jj,jk+1) ) & |
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| 221 | & * ( 0.25 + SIGN( 0.25, zwx(ji,jj,jk) * zwx(ji,jj,jk+1) ) ) |
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[3] | 222 | END DO |
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| 223 | END DO |
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| 224 | END DO |
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[2528] | 225 | ! !-- Slopes limitation |
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| 226 | DO jk = 2, jpkm1 ! interior values |
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| 227 | DO jj = 1, jpj |
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| 228 | DO ji = 1, jpi |
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| 229 | zslpx(ji,jj,jk) = SIGN( 1., zslpx(ji,jj,jk) ) * MIN( ABS( zslpx(ji,jj,jk ) ), & |
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| 230 | & 2.*ABS( zwx (ji,jj,jk+1) ), & |
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| 231 | & 2.*ABS( zwx (ji,jj,jk ) ) ) |
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| 232 | END DO |
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[3] | 233 | END DO |
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| 234 | END DO |
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[2528] | 235 | ! !-- vertical advective flux |
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| 236 | ! ! surface values (bottom already set to zero) |
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| 237 | IF( lk_vvl ) THEN ; zwx(:,:, 1 ) = 0.e0 ! variable volume |
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| 238 | ELSE ; zwx(:,:, 1 ) = pwn(:,:,1) * ptb(:,:,1,jn) ! linear free surface |
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| 239 | ENDIF |
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| 240 | ! |
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| 241 | DO jk = 1, jpkm1 ! interior values |
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| 242 | zdt = p2dt(jk) |
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| 243 | DO jj = 2, jpjm1 |
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| 244 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 245 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3w(ji,jj,jk+1) ) |
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| 246 | z0w = SIGN( 0.5, pwn(ji,jj,jk+1) ) |
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| 247 | zalpha = 0.5 + z0w |
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| 248 | zw = z0w - 0.5 * pwn(ji,jj,jk+1) * zdt * zbtr |
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| 249 | zzwx = ptb(ji,jj,jk+1,jn) + zw * zslpx(ji,jj,jk+1) |
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| 250 | zzwy = ptb(ji,jj,jk ,jn) + zw * zslpx(ji,jj,jk ) |
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| 251 | zwx(ji,jj,jk+1) = pwn(ji,jj,jk+1) * ( zalpha * zzwx + (1.-zalpha) * zzwy ) |
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| 252 | END DO |
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[3] | 253 | END DO |
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| 254 | END DO |
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[2528] | 255 | ! |
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| 256 | DO jk = 2, jpkm1 ! centered near the bottom |
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| 257 | DO jj = 2, jpjm1 |
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| 258 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 259 | IF( tmask(ji,jj,jk+1) == 0. ) THEN |
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| 260 | IF( pwn(ji,jj,jk) > 0. ) THEN |
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| 261 | 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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| 262 | ENDIF |
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[3] | 263 | ENDIF |
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[2528] | 264 | END DO |
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[3] | 265 | END DO |
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| 266 | END DO |
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[2528] | 267 | ! |
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| 268 | DO jk = 1, jpkm1 ! Compute & add the vertical advective trend |
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| 269 | DO jj = 2, jpjm1 |
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[503] | 270 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[2528] | 271 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 272 | ! vertical advective trends |
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| 273 | ztra = - zbtr * ( zwx(ji,jj,jk) - zwx(ji,jj,jk+1) ) |
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| 274 | ! added to the general tracer trends |
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| 275 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra |
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[503] | 276 | END DO |
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| 277 | END DO |
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| 278 | END DO |
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[2528] | 279 | ! ! trend diagnostics (contribution of upstream fluxes) |
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[4990] | 280 | IF( ( cdtype == 'TRA' .AND. l_trdtra ) .OR. & |
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| 281 | &( cdtype == 'TRC' .AND. l_trdtrc ) ) & |
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| 282 | CALL trd_tra( kt, cdtype, jn, jptra_zad, zwx, pwn, ptb(:,:,:,jn) ) |
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[503] | 283 | ! |
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[2528] | 284 | END DO |
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[503] | 285 | ! |
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[4990] | 286 | CALL wrk_dealloc( jpi, jpj, jpk, zslpx, zslpy, zwx, zwy ) |
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[2715] | 287 | ! |
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[3294] | 288 | IF( nn_timing == 1 ) CALL timing_stop('tra_adv_muscl2') |
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| 289 | ! |
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[3] | 290 | END SUBROUTINE tra_adv_muscl2 |
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| 291 | |
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| 292 | !!====================================================================== |
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| 293 | END MODULE traadv_muscl2 |
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