[3] | 1 | MODULE traadv_muscl |
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[503] | 2 | !!====================================================================== |
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[3] | 3 | !! *** MODULE traadv_muscl *** |
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[2528] | 4 | !! Ocean tracers: horizontal & vertical advective trend |
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[503] | 5 | !!====================================================================== |
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[2528] | 6 | !! History : ! 2000-06 (A.Estublier) for passive tracers |
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| 7 | !! ! 2001-08 (E.Durand, G.Madec) adapted for T & S |
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| 8 | !! NEMO 1.0 ! 2002-06 (G. Madec) F90: Free form and module |
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| 9 | !! 3.2 ! 2010-05 (C. Ethe, G. Madec) merge TRC-TRA + switch from velocity to transport |
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[503] | 10 | !!---------------------------------------------------------------------- |
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[3] | 11 | |
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| 12 | !!---------------------------------------------------------------------- |
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| 13 | !! tra_adv_muscl : update the tracer trend with the horizontal |
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| 14 | !! and vertical advection trends using MUSCL scheme |
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| 15 | !!---------------------------------------------------------------------- |
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| 16 | USE oce ! ocean dynamics and active tracers |
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| 17 | USE dom_oce ! ocean space and time domain |
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[2528] | 18 | USE trdmod_oce ! tracers trends |
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| 19 | USE trdtra ! tracers trends |
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[3] | 20 | USE in_out_manager ! I/O manager |
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[367] | 21 | USE dynspg_oce ! choice/control of key cpp for surface pressure gradient |
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[3] | 22 | USE trabbl ! tracers: bottom boundary layer |
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[216] | 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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[132] | 25 | USE diaptr ! poleward transport diagnostics |
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[2528] | 26 | USE trc_oce ! share passive tracers/Ocean variables |
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[3294] | 27 | USE wrk_nemo ! Memory Allocation |
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| 28 | USE timing ! Timing |
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[3] | 29 | |
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| 30 | IMPLICIT NONE |
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| 31 | PRIVATE |
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| 32 | |
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[503] | 33 | PUBLIC tra_adv_muscl ! routine called by step.F90 |
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[3] | 34 | |
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[2528] | 35 | LOGICAL :: l_trd ! flag to compute trends |
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| 36 | |
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[3] | 37 | !! * Substitutions |
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| 38 | # include "domzgr_substitute.h90" |
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| 39 | # include "vectopt_loop_substitute.h90" |
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| 40 | !!---------------------------------------------------------------------- |
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[2528] | 41 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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[1152] | 42 | !! $Id$ |
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[2528] | 43 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[3] | 44 | !!---------------------------------------------------------------------- |
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| 45 | CONTAINS |
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| 46 | |
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[3294] | 47 | SUBROUTINE tra_adv_muscl( kt, kit000, cdtype, p2dt, pun, pvn, pwn, & |
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[2528] | 48 | & ptb, pta, kjpt ) |
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[3] | 49 | !!---------------------------------------------------------------------- |
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| 50 | !! *** ROUTINE tra_adv_muscl *** |
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[216] | 51 | !! |
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[3] | 52 | !! ** Purpose : Compute the now trend due to total advection of T and |
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| 53 | !! S using a MUSCL scheme (Monotone Upstream-centered Scheme for |
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| 54 | !! Conservation Laws) and add it to the general tracer trend. |
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| 55 | !! |
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[216] | 56 | !! ** Method : MUSCL scheme plus centered scheme at ocean boundaries |
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[3] | 57 | !! |
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| 58 | !! ** Action : - update (ta,sa) with the now advective tracer trends |
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[2528] | 59 | !! - save trends |
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[3] | 60 | !! |
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[503] | 61 | !! References : Estubier, A., and M. Levy, Notes Techn. Pole de Modelisation |
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| 62 | !! IPSL, Sept. 2000 (http://www.lodyc.jussieu.fr/opa) |
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| 63 | !!---------------------------------------------------------------------- |
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[3294] | 64 | USE oce , ONLY: zwx => ua , zwy => va ! (ua,va) used as workspace |
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[2715] | 65 | ! |
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[2528] | 66 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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[3294] | 67 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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[2528] | 68 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 69 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 70 | REAL(wp), DIMENSION( jpk ), INTENT(in ) :: p2dt ! vertical profile of tracer time-step |
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| 71 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pun, pvn, pwn ! 3 ocean velocity components |
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| 72 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb ! before tracer field |
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| 73 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
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[2715] | 74 | ! |
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[2528] | 75 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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[2715] | 76 | REAL(wp) :: zu, z0u, zzwx, zw ! local scalars |
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| 77 | REAL(wp) :: zv, z0v, zzwy, z0w ! - - |
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| 78 | REAL(wp) :: ztra, zbtr, zdt, zalpha ! - - |
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[3294] | 79 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zslpx, zslpy |
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[3] | 80 | !!---------------------------------------------------------------------- |
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[3294] | 81 | ! |
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| 82 | IF( nn_timing == 1 ) CALL timing_start('tra_adv_muscl') |
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| 83 | ! |
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| 84 | CALL wrk_alloc( jpi, jpj, jpk, zslpx, zslpy ) |
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| 85 | ! |
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[3] | 86 | |
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[3294] | 87 | IF( kt == kit000 ) THEN |
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[2528] | 88 | IF(lwp) WRITE(numout,*) |
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| 89 | IF(lwp) WRITE(numout,*) 'tra_adv : MUSCL advection scheme on ', cdtype |
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| 90 | IF(lwp) WRITE(numout,*) '~~~~~~~' |
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| 91 | ! |
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| 92 | l_trd = .FALSE. |
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| 93 | IF( ( cdtype == 'TRA' .AND. l_trdtra ) .OR. ( cdtype == 'TRC' .AND. l_trdtrc ) ) l_trd = .TRUE. |
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[3] | 94 | ENDIF |
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| 95 | |
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[2528] | 96 | ! ! =========== |
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| 97 | DO jn = 1, kjpt ! tracer loop |
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| 98 | ! ! =========== |
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| 99 | ! I. Horizontal advective fluxes |
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| 100 | ! ------------------------------ |
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| 101 | ! first guess of the slopes |
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| 102 | zwx(:,:,jpk) = 0.e0 ; zwy(:,:,jpk) = 0.e0 ! bottom values |
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| 103 | ! interior values |
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| 104 | DO jk = 1, jpkm1 |
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| 105 | DO jj = 1, jpjm1 |
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| 106 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 107 | zwx(ji,jj,jk) = umask(ji,jj,jk) * ( ptb(ji+1,jj,jk,jn) - ptb(ji,jj,jk,jn) ) |
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| 108 | zwy(ji,jj,jk) = vmask(ji,jj,jk) * ( ptb(ji,jj+1,jk,jn) - ptb(ji,jj,jk,jn) ) |
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| 109 | END DO |
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| 110 | END DO |
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[3] | 111 | END DO |
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[2528] | 112 | ! |
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| 113 | CALL lbc_lnk( zwx, 'U', -1. ) ! lateral boundary conditions on zwx, zwy (changed sign) |
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| 114 | CALL lbc_lnk( zwy, 'V', -1. ) |
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| 115 | ! !-- Slopes of tracer |
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| 116 | zslpx(:,:,jpk) = 0.e0 ; zslpy(:,:,jpk) = 0.e0 ! bottom values |
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| 117 | DO jk = 1, jpkm1 ! interior values |
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| 118 | DO jj = 2, jpj |
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| 119 | DO ji = fs_2, jpi ! vector opt. |
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| 120 | zslpx(ji,jj,jk) = ( zwx(ji,jj,jk) + zwx(ji-1,jj ,jk) ) & |
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| 121 | & * ( 0.25 + SIGN( 0.25, zwx(ji,jj,jk) * zwx(ji-1,jj ,jk) ) ) |
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| 122 | zslpy(ji,jj,jk) = ( zwy(ji,jj,jk) + zwy(ji ,jj-1,jk) ) & |
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| 123 | & * ( 0.25 + SIGN( 0.25, zwy(ji,jj,jk) * zwy(ji ,jj-1,jk) ) ) |
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| 124 | END DO |
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[3] | 125 | END DO |
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| 126 | END DO |
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[503] | 127 | ! |
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[2528] | 128 | DO jk = 1, jpkm1 ! Slopes limitation |
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| 129 | DO jj = 2, jpj |
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| 130 | DO ji = fs_2, jpi ! vector opt. |
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| 131 | zslpx(ji,jj,jk) = SIGN( 1., zslpx(ji,jj,jk) ) * MIN( ABS( zslpx(ji ,jj,jk) ), & |
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| 132 | & 2.*ABS( zwx (ji-1,jj,jk) ), & |
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| 133 | & 2.*ABS( zwx (ji ,jj,jk) ) ) |
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| 134 | zslpy(ji,jj,jk) = SIGN( 1., zslpy(ji,jj,jk) ) * MIN( ABS( zslpy(ji,jj ,jk) ), & |
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| 135 | & 2.*ABS( zwy (ji,jj-1,jk) ), & |
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| 136 | & 2.*ABS( zwy (ji,jj ,jk) ) ) |
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[503] | 137 | END DO |
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[2528] | 138 | END DO |
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| 139 | END DO ! interior values |
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[216] | 140 | |
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[2528] | 141 | ! !-- MUSCL horizontal advective fluxes |
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| 142 | DO jk = 1, jpkm1 ! interior values |
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| 143 | zdt = p2dt(jk) |
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[503] | 144 | DO jj = 2, jpjm1 |
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| 145 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[2528] | 146 | ! MUSCL fluxes |
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| 147 | z0u = SIGN( 0.5, pun(ji,jj,jk) ) |
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| 148 | zalpha = 0.5 - z0u |
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| 149 | zu = z0u - 0.5 * pun(ji,jj,jk) * zdt / ( e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) ) |
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| 150 | zzwx = ptb(ji+1,jj,jk,jn) + zu * zslpx(ji+1,jj,jk) |
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| 151 | zzwy = ptb(ji ,jj,jk,jn) + zu * zslpx(ji ,jj,jk) |
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| 152 | zwx(ji,jj,jk) = pun(ji,jj,jk) * ( zalpha * zzwx + (1.-zalpha) * zzwy ) |
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| 153 | ! |
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| 154 | z0v = SIGN( 0.5, pvn(ji,jj,jk) ) |
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| 155 | zalpha = 0.5 - z0v |
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| 156 | zv = z0v - 0.5 * pvn(ji,jj,jk) * zdt / ( e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) ) |
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| 157 | zzwx = ptb(ji,jj+1,jk,jn) + zv * zslpy(ji,jj+1,jk) |
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| 158 | zzwy = ptb(ji,jj ,jk,jn) + zv * zslpy(ji,jj ,jk) |
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| 159 | zwy(ji,jj,jk) = pvn(ji,jj,jk) * ( zalpha * zzwx + (1.-zalpha) * zzwy ) |
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[503] | 160 | END DO |
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| 161 | END DO |
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| 162 | END DO |
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[2528] | 163 | ! ! lateral boundary conditions on zwx, zwy (changed sign) |
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| 164 | CALL lbc_lnk( zwx, 'U', -1. ) ; CALL lbc_lnk( zwy, 'V', -1. ) |
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[503] | 165 | ! |
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[2528] | 166 | ! Tracer flux divergence at t-point added to the general trend |
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| 167 | DO jk = 1, jpkm1 |
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| 168 | DO jj = 2, jpjm1 |
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| 169 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 170 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 171 | ! horizontal advective trends |
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| 172 | ztra = - zbtr * ( zwx(ji,jj,jk) - zwx(ji-1,jj ,jk ) & |
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| 173 | & + zwy(ji,jj,jk) - zwy(ji ,jj-1,jk ) ) |
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| 174 | ! add it to the general tracer trends |
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| 175 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra |
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[3] | 176 | END DO |
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[2528] | 177 | END DO |
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| 178 | END DO |
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| 179 | ! ! trend diagnostics (contribution of upstream fluxes) |
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| 180 | IF( l_trd ) THEN |
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| 181 | CALL trd_tra( kt, cdtype, jn, jptra_trd_xad, zwx, pun, ptb(:,:,:,jn) ) |
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| 182 | CALL trd_tra( kt, cdtype, jn, jptra_trd_yad, zwy, pvn, ptb(:,:,:,jn) ) |
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| 183 | END IF |
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| 184 | ! ! "Poleward" heat and salt transports (contribution of upstream fluxes) |
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| 185 | IF( cdtype == 'TRA' .AND. ln_diaptr .AND. ( MOD( kt, nn_fptr ) == 0 ) ) THEN |
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| 186 | IF( jn == jp_tem ) htr_adv(:) = ptr_vj( zwy(:,:,:) ) |
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| 187 | IF( jn == jp_sal ) str_adv(:) = ptr_vj( zwy(:,:,:) ) |
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[457] | 188 | ENDIF |
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[3] | 189 | |
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[2528] | 190 | ! II. Vertical advective fluxes |
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| 191 | ! ----------------------------- |
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| 192 | ! !-- first guess of the slopes |
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| 193 | zwx (:,:, 1 ) = 0.e0 ; zwx (:,:,jpk) = 0.e0 ! surface & bottom boundary conditions |
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| 194 | DO jk = 2, jpkm1 ! interior values |
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| 195 | zwx(:,:,jk) = tmask(:,:,jk) * ( ptb(:,:,jk-1,jn) - ptb(:,:,jk,jn) ) |
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[3] | 196 | END DO |
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| 197 | |
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[2528] | 198 | ! !-- Slopes of tracer |
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| 199 | zslpx(:,:,1) = 0.e0 ! surface values |
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| 200 | DO jk = 2, jpkm1 ! interior value |
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| 201 | DO jj = 1, jpj |
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| 202 | DO ji = 1, jpi |
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| 203 | zslpx(ji,jj,jk) = ( zwx(ji,jj,jk) + zwx(ji,jj,jk+1) ) & |
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| 204 | & * ( 0.25 + SIGN( 0.25, zwx(ji,jj,jk) * zwx(ji,jj,jk+1) ) ) |
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| 205 | END DO |
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[3] | 206 | END DO |
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| 207 | END DO |
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[2528] | 208 | ! !-- Slopes limitation |
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| 209 | DO jk = 2, jpkm1 ! interior values |
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| 210 | DO jj = 1, jpj |
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| 211 | DO ji = 1, jpi |
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| 212 | zslpx(ji,jj,jk) = SIGN( 1., zslpx(ji,jj,jk) ) * MIN( ABS( zslpx(ji,jj,jk ) ), & |
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| 213 | & 2.*ABS( zwx (ji,jj,jk+1) ), & |
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| 214 | & 2.*ABS( zwx (ji,jj,jk ) ) ) |
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| 215 | END DO |
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[3] | 216 | END DO |
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| 217 | END DO |
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[2528] | 218 | ! !-- vertical advective flux |
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| 219 | ! ! surface values (bottom already set to zero) |
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| 220 | IF( lk_vvl ) THEN ; zwx(:,:, 1 ) = 0.e0 ! variable volume |
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| 221 | ELSE ; zwx(:,:, 1 ) = pwn(:,:,1) * ptb(:,:,1,jn) ! linear free surface |
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| 222 | ENDIF |
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| 223 | ! |
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| 224 | DO jk = 1, jpkm1 ! interior values |
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| 225 | zdt = p2dt(jk) |
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| 226 | DO jj = 2, jpjm1 |
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| 227 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 228 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3w(ji,jj,jk+1) ) |
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| 229 | z0w = SIGN( 0.5, pwn(ji,jj,jk+1) ) |
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| 230 | zalpha = 0.5 + z0w |
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| 231 | zw = z0w - 0.5 * pwn(ji,jj,jk+1) * zdt * zbtr |
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| 232 | zzwx = ptb(ji,jj,jk+1,jn) + zw * zslpx(ji,jj,jk+1) |
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| 233 | zzwy = ptb(ji,jj,jk ,jn) + zw * zslpx(ji,jj,jk ) |
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| 234 | zwx(ji,jj,jk+1) = pwn(ji,jj,jk+1) * ( zalpha * zzwx + (1.-zalpha) * zzwy ) |
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| 235 | END DO |
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[3] | 236 | END DO |
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| 237 | END DO |
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| 238 | |
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[2528] | 239 | ! Compute & add the vertical advective trend |
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[503] | 240 | DO jk = 1, jpkm1 |
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[2528] | 241 | DO jj = 2, jpjm1 |
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[503] | 242 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[2528] | 243 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 244 | ! vertical advective trends |
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| 245 | ztra = - zbtr * ( zwx(ji,jj,jk) - zwx(ji,jj,jk+1) ) |
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| 246 | ! add it to the general tracer trends |
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| 247 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra |
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[503] | 248 | END DO |
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| 249 | END DO |
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| 250 | END DO |
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[2528] | 251 | ! ! Save the vertical advective trends for diagnostic |
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| 252 | IF( l_trd ) CALL trd_tra( kt, cdtype, jn, jptra_trd_zad, zwx, pwn, ptb(:,:,:,jn) ) |
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[503] | 253 | ! |
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[2528] | 254 | ENDDO |
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[503] | 255 | ! |
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[3294] | 256 | CALL wrk_dealloc( jpi, jpj, jpk, zslpx, zslpy ) |
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[2715] | 257 | ! |
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[3294] | 258 | IF( nn_timing == 1 ) CALL timing_stop('tra_adv_muscl') |
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| 259 | ! |
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[3] | 260 | END SUBROUTINE tra_adv_muscl |
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| 261 | |
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| 262 | !!====================================================================== |
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| 263 | END MODULE traadv_muscl |
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