[3] | 1 | MODULE traadv_muscl2 |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE traadv_muscl2 *** |
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[2024] | 4 | !! Ocean tracers: horizontal & vertical advective trend |
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[3] | 5 | !!============================================================================== |
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[2024] | 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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[2024] | 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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[2024] | 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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[3] | 24 | |
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[2024] | 25 | |
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[3] | 26 | IMPLICIT NONE |
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| 27 | PRIVATE |
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| 28 | |
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| 29 | !! * Accessibility |
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| 30 | PUBLIC tra_adv_muscl2 ! routine called by step.F90 |
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| 31 | |
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[2024] | 32 | LOGICAL :: l_trd ! flag to compute trends |
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| 33 | |
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[3] | 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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[2034] | 38 | !! NEMO/OPA 3.3 , LOCEAN-IPSL (2010) |
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[1152] | 39 | !! $Id$ |
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[503] | 40 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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[3] | 41 | !!---------------------------------------------------------------------- |
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| 42 | |
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| 43 | CONTAINS |
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| 44 | |
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[2034] | 45 | SUBROUTINE tra_adv_muscl2( kt, cdtype, pun, pvn, pwn, & |
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| 46 | & ptb, ptn, pta, kjpt ) |
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[3] | 47 | !!---------------------------------------------------------------------- |
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| 48 | !! *** ROUTINE tra_adv_muscl2 *** |
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| 49 | !! |
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[216] | 50 | !! ** Purpose : Compute the now trend due to total advection of T and |
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| 51 | !! S using a MUSCL scheme (Monotone Upstream-centered Scheme for |
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| 52 | !! Conservation Laws) and add it to the general tracer trend. |
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[3] | 53 | !! |
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[216] | 54 | !! ** Method : MUSCL scheme plus centered scheme at ocean boundaries |
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[3] | 55 | !! |
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[2034] | 56 | !! ** Action : - update (pta) with the now advective tracer trends |
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[2024] | 57 | !! - save trends |
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[3] | 58 | !! |
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[503] | 59 | !! References : Estubier, A., and M. Levy, Notes Techn. Pole de Modelisation |
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| 60 | !! IPSL, Sept. 2000 (http://www.lodyc.jussieu.fr/opa) |
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| 61 | !!---------------------------------------------------------------------- |
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[2024] | 62 | !!* Module used |
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| 63 | USE oce , zwx => ua ! use ua as workspace |
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| 64 | USE oce , zwy => va ! use va as workspace |
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| 65 | !!* Arguments |
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| 66 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 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) , INTENT(in ), DIMENSION(jpi,jpj,jpk) :: pun, pvn, pwn ! 3 ocean velocity components |
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[2034] | 70 | REAL(wp) , INTENT(in ), DIMENSION(jpi,jpj,jpk,kjpt) :: ptb, ptn ! before and now tracer fields |
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| 71 | REAL(wp) , INTENT(inout), DIMENSION(jpi,jpj,jpk,kjpt) :: pta ! tracer trend |
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[2024] | 72 | !!* Local declarations |
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| 73 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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| 74 | REAL(wp) :: zu, z0u, zzwx |
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| 75 | REAL(wp) :: zv, z0v, zzwy |
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| 76 | REAL(wp) :: zw, z0w |
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| 77 | REAL(wp) :: ztra, zbtr, z2, zdt, zalpha |
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| 78 | REAL(wp), DIMENSION (jpi,jpj,jpk) :: zslpx, zslpy ! 3D workspace |
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[3] | 79 | !!---------------------------------------------------------------------- |
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| 80 | |
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| 81 | IF( kt == nit000 .AND. lwp ) THEN |
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| 82 | WRITE(numout,*) |
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| 83 | WRITE(numout,*) 'tra_adv_muscl2 : MUSCL2 advection scheme' |
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| 84 | WRITE(numout,*) '~~~~~~~~~~~~~~~' |
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[2024] | 85 | ! |
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| 86 | l_trd = .FALSE. |
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| 87 | IF( ( cdtype == 'TRA' .AND. l_trdtra ) .OR. ( cdtype == 'TRC' .AND. l_trdtrc ) ) l_trd = .TRUE. |
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[3] | 88 | ENDIF |
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| 89 | |
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[503] | 90 | IF( neuler == 0 .AND. kt == nit000 ) THEN ; z2 = 1. |
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| 91 | ELSE ; z2 = 2. |
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[3] | 92 | ENDIF |
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[2024] | 93 | ! |
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| 94 | ! |
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| 95 | DO jn = 1, kjpt ! tracer loop |
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| 96 | ! ! =========== |
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| 97 | ! I. Horizontal advective fluxes |
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| 98 | ! ------------------------------ |
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| 99 | ! first guess of the slopes |
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| 100 | zwx(:,:,jpk) = 0.e0 ; zwy(:,:,jpk) = 0.e0 ! bottom values |
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| 101 | ! interior values |
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| 102 | DO jk = 1, jpkm1 |
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| 103 | DO jj = 1, jpjm1 |
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| 104 | DO ji = 1, fs_jpim1 ! vector opt. |
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[2034] | 105 | zwx(ji,jj,jk) = umask(ji,jj,jk) * ( ptb(ji+1,jj,jk,jn) - ptb(ji,jj,jk,jn) ) |
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| 106 | zwy(ji,jj,jk) = vmask(ji,jj,jk) * ( ptb(ji,jj+1,jk,jn) - ptb(ji,jj,jk,jn) ) |
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[2024] | 107 | END DO |
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| 108 | END DO |
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[3] | 109 | END DO |
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[2024] | 110 | ! |
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| 111 | CALL lbc_lnk( zwx, 'U', -1. ) ! lateral boundary conditions on zwx, zwy (changed sign) |
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| 112 | CALL lbc_lnk( zwy, 'V', -1. ) |
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| 113 | ! !-- Slopes of tracer |
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| 114 | zslpx(:,:,jpk) = 0.e0 ; zslpy(:,:,jpk) = 0.e0 ! bottom values |
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| 115 | DO jk = 1, jpkm1 ! interior values |
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| 116 | DO jj = 2, jpj |
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| 117 | DO ji = fs_2, jpi ! vector opt. |
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| 118 | zslpx(ji,jj,jk) = ( zwx(ji,jj,jk) + zwx(ji-1,jj ,jk) ) & |
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| 119 | & * ( 0.25 + SIGN( 0.25, zwx(ji,jj,jk) * zwx(ji-1,jj ,jk) ) ) |
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| 120 | zslpy(ji,jj,jk) = ( zwy(ji,jj,jk) + zwy(ji ,jj-1,jk) ) & |
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| 121 | & * ( 0.25 + SIGN( 0.25, zwy(ji,jj,jk) * zwy(ji ,jj-1,jk) ) ) |
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| 122 | END DO |
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[3] | 123 | END DO |
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| 124 | END DO |
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[2024] | 125 | ! |
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| 126 | DO jk = 1, jpkm1 ! Slopes limitation |
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| 127 | DO jj = 2, jpj |
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| 128 | DO ji = fs_2, jpi ! vector opt. |
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| 129 | zslpx(ji,jj,jk) = SIGN( 1., zslpx(ji,jj,jk) ) * MIN( ABS( zslpx(ji ,jj,jk) ), & |
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| 130 | & 2.*ABS( zwx (ji-1,jj,jk) ), & |
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| 131 | & 2.*ABS( zwx (ji ,jj,jk) ) ) |
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| 132 | zslpy(ji,jj,jk) = SIGN( 1., zslpy(ji,jj,jk) ) * MIN( ABS( zslpy(ji,jj ,jk) ), & |
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| 133 | & 2.*ABS( zwy (ji,jj-1,jk) ), & |
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| 134 | & 2.*ABS( zwy (ji,jj ,jk) ) ) |
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| 135 | END DO |
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| 136 | END DO |
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| 137 | END DO ! interior values |
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[3] | 138 | |
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[2024] | 139 | ! !-- MUSCL horizontal advective fluxes |
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| 140 | DO jk = 1, jpkm1 ! interior values |
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| 141 | zdt = z2 * rdttra(jk) |
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| 142 | DO jj = 2, jpjm1 |
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| 143 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 144 | ! MUSCL fluxes |
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| 145 | z0u = SIGN( 0.5, pun(ji,jj,jk) ) |
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| 146 | zalpha = 0.5 - z0u |
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| 147 | zu = z0u - 0.5 * pun(ji,jj,jk) * zdt / ( e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) ) |
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[2034] | 148 | zzwx = ptb(ji+1,jj,jk,jn) + zu * zslpx(ji+1,jj,jk) |
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| 149 | zzwy = ptb(ji ,jj,jk,jn) + zu * zslpx(ji ,jj,jk) |
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[2024] | 150 | zwx(ji,jj,jk) = pun(ji,jj,jk) * ( zalpha * zzwx + (1.-zalpha) * zzwy ) |
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| 151 | ! |
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| 152 | z0v = SIGN( 0.5, pvn(ji,jj,jk) ) |
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| 153 | zalpha = 0.5 - z0v |
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| 154 | zv = z0v - 0.5 * pvn(ji,jj,jk) * zdt / ( e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) ) |
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[2034] | 155 | zzwx = ptb(ji,jj+1,jk,jn) + zv * zslpy(ji,jj+1,jk) |
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| 156 | zzwy = ptb(ji,jj ,jk,jn) + zv * zslpy(ji,jj ,jk) |
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[2024] | 157 | zwy(ji,jj,jk) = pvn(ji,jj,jk) * ( zalpha * zzwx + (1.-zalpha) * zzwy ) |
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| 158 | END DO |
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[3] | 159 | END DO |
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| 160 | END DO |
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| 161 | |
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[2024] | 162 | !! centered scheme at lateral b.C. if off-shore velocity |
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[503] | 163 | DO jk = 1, jpkm1 |
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| 164 | DO jj = 2, jpjm1 |
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| 165 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[2024] | 166 | IF( umask(ji,jj,jk) == 0. ) THEN |
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| 167 | IF( pun(ji+1,jj,jk) > 0. .AND. ji /= jpi ) THEN |
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[2034] | 168 | 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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[2024] | 169 | ENDIF |
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| 170 | IF( pun(ji-1,jj,jk) < 0. ) THEN |
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[2034] | 171 | 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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[2024] | 172 | ENDIF |
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| 173 | ENDIF |
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| 174 | IF( vmask(ji,jj,jk) == 0. ) THEN |
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| 175 | IF( pvn(ji,jj+1,jk) > 0. .AND. jj /= jpj ) THEN |
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[2034] | 176 | 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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[2024] | 177 | ENDIF |
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| 178 | IF( pvn(ji,jj-1,jk) < 0. ) THEN |
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[2034] | 179 | 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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[2024] | 180 | ENDIF |
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| 181 | ENDIF |
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[503] | 182 | END DO |
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| 183 | END DO |
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| 184 | END DO |
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[216] | 185 | |
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[2024] | 186 | ! ! lateral boundary conditions on zwx, zwy (changed sign) |
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| 187 | CALL lbc_lnk( zwx, 'U', -1. ) ; CALL lbc_lnk( zwy, 'V', -1. ) |
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| 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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[2024] | 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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[2034] | 197 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra |
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[503] | 198 | END DO |
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[2024] | 199 | END DO |
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[503] | 200 | END DO |
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[2024] | 201 | ! ! trend diagnostics (contribution of upstream fluxes) |
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| 202 | IF( l_trd ) THEN |
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[2034] | 203 | CALL trd_tra( kt, cdtype, jn, jpt_trd_xad, zwx, pun, ptb(:,:,:,jn) ) |
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| 204 | CALL trd_tra( kt, cdtype, jn, jpt_trd_yad, zwy, pvn, ptb(:,:,:,jn) ) |
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[2024] | 205 | END IF |
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[216] | 206 | |
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[2024] | 207 | ! ! "Poleward" heat and salt transports (contribution of upstream fluxes) |
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| 208 | IF( cdtype == 'TRA' .AND. ln_diaptr .AND. ( MOD( kt, nf_ptr ) == 0 ) ) THEN |
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| 209 | IF( lk_zco ) THEN |
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| 210 | DO jk = 1, jpkm1 |
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| 211 | DO jj = 2, jpjm1 |
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| 212 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 213 | zwy(ji,jj,jk) = zwy(ji,jj,jk) * fse3v(ji,jj,jk) |
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| 214 | END DO |
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[457] | 215 | END DO |
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[3] | 216 | END DO |
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[2024] | 217 | ENDIF |
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| 218 | IF( jn == jp_tem ) pht_adv(:) = ptr_vj( zwy(:,:,:) ) |
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| 219 | IF( jn == jp_sal ) pst_adv(:) = ptr_vj( zwy(:,:,:) ) |
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[457] | 220 | ENDIF |
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[3] | 221 | |
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[2024] | 222 | ! II. Vertical advective fluxes |
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| 223 | ! ----------------------------- |
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| 224 | ! !-- first guess of the slopes |
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| 225 | zwx (:,:, 1 ) = 0.e0 ; zwx (:,:,jpk) = 0.e0 ! surface & bottom boundary conditions |
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| 226 | DO jk = 2, jpkm1 ! interior values |
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[2034] | 227 | zwx(:,:,jk) = tmask(:,:,jk) * ( ptb(:,:,jk-1,jn) - ptb(:,:,jk,jn) ) |
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[2024] | 228 | END DO |
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[3] | 229 | |
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[2024] | 230 | ! !-- Slopes of tracer |
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| 231 | zslpx(:,:,1) = 0.e0 ! surface values |
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| 232 | DO jk = 2, jpkm1 ! interior value |
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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) = ( zwx(ji,jj,jk) + zwx(ji,jj,jk+1) ) & |
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| 236 | & * ( 0.25 + SIGN( 0.25, zwx(ji,jj,jk) * zwx(ji,jj,jk+1) ) ) |
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| 237 | END DO |
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[3] | 238 | END DO |
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| 239 | END DO |
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[2024] | 240 | ! !-- Slopes limitation |
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| 241 | DO jk = 2, jpkm1 ! interior values |
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| 242 | DO jj = 1, jpj |
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| 243 | DO ji = 1, jpi |
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| 244 | zslpx(ji,jj,jk) = SIGN( 1., zslpx(ji,jj,jk) ) * MIN( ABS( zslpx(ji,jj,jk ) ), & |
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| 245 | & 2.*ABS( zwx (ji,jj,jk+1) ), & |
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| 246 | & 2.*ABS( zwx (ji,jj,jk ) ) ) |
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| 247 | END DO |
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[3] | 248 | END DO |
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| 249 | END DO |
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[2024] | 250 | ! !-- vertical advective flux |
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| 251 | ! ! surface values (bottom already set to zero) |
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| 252 | IF( lk_vvl ) THEN ; zwx(:,:, 1 ) = 0.e0 ! variable volume |
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[2034] | 253 | ELSE ; zwx(:,:, 1 ) = pwn(:,:,1) * ptb(:,:,1,jn) ! linear free surface |
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[2024] | 254 | ENDIF |
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| 255 | ! |
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| 256 | DO jk = 1, jpkm1 ! interior values |
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| 257 | zdt = z2 * rdttra(jk) |
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| 258 | DO jj = 2, jpjm1 |
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| 259 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 260 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3w(ji,jj,jk+1) ) |
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| 261 | z0w = SIGN( 0.5, pwn(ji,jj,jk+1) ) |
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| 262 | zalpha = 0.5 + z0w |
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| 263 | zw = z0w - 0.5 * pwn(ji,jj,jk+1) * zdt * zbtr |
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[2034] | 264 | zzwx = ptb(ji,jj,jk+1,jn) + zw * zslpx(ji,jj,jk+1) |
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| 265 | zzwy = ptb(ji,jj,jk ,jn) + zw * zslpx(ji,jj,jk ) |
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[2024] | 266 | zwx(ji,jj,jk+1) = pwn(ji,jj,jk+1) * ( zalpha * zzwx + (1.-zalpha) * zzwy ) |
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| 267 | END DO |
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[3] | 268 | END DO |
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| 269 | END DO |
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[2024] | 270 | ! |
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| 271 | DO jk = 2, jpkm1 ! centered near the bottom |
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| 272 | DO jj = 2, jpjm1 |
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| 273 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 274 | IF( tmask(ji,jj,jk+1) == 0. ) THEN |
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| 275 | IF( pwn(ji,jj,jk) > 0. ) THEN |
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[2034] | 276 | 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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[2024] | 277 | ENDIF |
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[3] | 278 | ENDIF |
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[2024] | 279 | END DO |
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[3] | 280 | END DO |
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| 281 | END DO |
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| 282 | |
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[2024] | 283 | ! Compute & add the vertical advective trend |
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[503] | 284 | DO jk = 1, jpkm1 |
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[2024] | 285 | DO jj = 2, jpjm1 |
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[503] | 286 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[2024] | 287 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 288 | ! vertical advective trends |
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| 289 | ztra = - zbtr * ( zwx(ji,jj,jk) - zwx(ji,jj,jk+1) ) |
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| 290 | ! added to the general tracer trends |
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[2034] | 291 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra |
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[503] | 292 | END DO |
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| 293 | END DO |
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| 294 | END DO |
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[2024] | 295 | |
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| 296 | ! Save the vertical advective trends for diagnostic |
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| 297 | ! ------------------------------------------------- |
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| 298 | ! ! trend diagnostics (contribution of upstream fluxes) |
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[2034] | 299 | IF( l_trd ) CALL trd_tra( kt, cdtype, jn, jpt_trd_zad, zwx, pwn, ptb(:,:,:,jn) ) |
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[503] | 300 | ! |
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[2024] | 301 | ENDDO |
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[503] | 302 | ! |
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[3] | 303 | END SUBROUTINE tra_adv_muscl2 |
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| 304 | |
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| 305 | !!====================================================================== |
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| 306 | END MODULE traadv_muscl2 |
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