[3] | 1 | MODULE traadv_muscl2 |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE traadv_muscl2 *** |
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| 4 | !! Ocean active tracers: horizontal & vertical advective trend |
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| 5 | !!============================================================================== |
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[503] | 6 | !! History : 9.0 ! 02-06 (G. Madec) from traadv_muscl |
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| 7 | !!---------------------------------------------------------------------- |
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[3] | 8 | |
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| 9 | !!---------------------------------------------------------------------- |
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| 10 | !! tra_adv_muscl2 : update the tracer trend with the horizontal |
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| 11 | !! and vertical advection trends using MUSCL2 scheme |
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| 12 | !!---------------------------------------------------------------------- |
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| 13 | USE oce ! ocean dynamics and active tracers |
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| 14 | USE dom_oce ! ocean space and time domain |
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[216] | 15 | USE trdmod ! ocean active tracers trends |
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| 16 | USE trdmod_oce ! ocean variables trends |
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[3] | 17 | USE in_out_manager ! I/O manager |
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[367] | 18 | USE dynspg_oce ! choice/control of key cpp for surface pressure gradient |
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[216] | 19 | USE trabbl ! tracers: bottom boundary layer |
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[3] | 20 | USE lib_mpp |
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[67] | 21 | USE lbclnk ! ocean lateral boundary condition (or mpp link) |
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[132] | 22 | USE diaptr ! poleward transport diagnostics |
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[258] | 23 | USE prtctl ! Print control |
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[3] | 24 | |
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| 25 | IMPLICIT NONE |
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| 26 | PRIVATE |
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| 27 | |
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| 28 | !! * Accessibility |
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| 29 | PUBLIC tra_adv_muscl2 ! routine called by step.F90 |
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| 30 | |
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| 31 | !! * Substitutions |
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| 32 | # include "domzgr_substitute.h90" |
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| 33 | # include "vectopt_loop_substitute.h90" |
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| 34 | !!---------------------------------------------------------------------- |
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[503] | 35 | !! OPA 9.0 , LOCEAN-IPSL (2006) |
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[1152] | 36 | !! $Id$ |
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[503] | 37 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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[3] | 38 | !!---------------------------------------------------------------------- |
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| 39 | |
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| 40 | CONTAINS |
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| 41 | |
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[457] | 42 | SUBROUTINE tra_adv_muscl2( kt, pun, pvn, pwn ) |
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[3] | 43 | !!---------------------------------------------------------------------- |
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| 44 | !! *** ROUTINE tra_adv_muscl2 *** |
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| 45 | !! |
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[216] | 46 | !! ** Purpose : Compute the now trend due to total advection of T and |
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| 47 | !! S using a MUSCL scheme (Monotone Upstream-centered Scheme for |
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| 48 | !! Conservation Laws) and add it to the general tracer trend. |
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[3] | 49 | !! |
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[216] | 50 | !! ** Method : MUSCL scheme plus centered scheme at ocean boundaries |
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[3] | 51 | !! |
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[216] | 52 | !! ** Action : - update (ta,sa) with the now advective tracer trends |
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[503] | 53 | !! - save trends in (ztrdt,ztrds) ('key_trdtra') |
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[3] | 54 | !! |
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[503] | 55 | !! References : Estubier, A., and M. Levy, Notes Techn. Pole de Modelisation |
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| 56 | !! IPSL, Sept. 2000 (http://www.lodyc.jussieu.fr/opa) |
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| 57 | !!---------------------------------------------------------------------- |
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| 58 | USE oce , ztrdt => ua ! use ua as workspace |
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| 59 | USE oce , ztrds => va ! use va as workspace |
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[3] | 60 | !! |
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[503] | 61 | INTEGER , INTENT(in) :: kt ! ocean time-step index |
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| 62 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pun ! ocean velocity u-component |
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| 63 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pvn ! ocean velocity v-component |
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| 64 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pwn ! ocean velocity w-component |
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| 65 | !! |
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| 66 | INTEGER :: ji, jj, jk ! dummy loop indices |
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[216] | 67 | REAL(wp) :: & |
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| 68 | zu, zv, zw, zeu, zev, & |
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| 69 | zew, zbtr, zstep, & |
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| 70 | z0u, z0v, z0w, & |
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| 71 | zzt1, zzt2, zalpha, & |
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| 72 | zzs1, zzs2, z2, & |
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[503] | 73 | zta, zsa, & |
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| 74 | z_hdivn_x, z_hdivn_y, z_hdivn |
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| 75 | REAL(wp), DIMENSION (jpi,jpj,jpk) :: zt1, zt2, ztp1, ztp2 ! 3D workspace |
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| 76 | REAL(wp), DIMENSION (jpi,jpj,jpk) :: zs1, zs2, zsp1, zsp2 ! " " |
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[3] | 77 | !!---------------------------------------------------------------------- |
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| 78 | |
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| 79 | IF( kt == nit000 .AND. lwp ) THEN |
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| 80 | WRITE(numout,*) |
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| 81 | WRITE(numout,*) 'tra_adv_muscl2 : MUSCL2 advection scheme' |
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| 82 | WRITE(numout,*) '~~~~~~~~~~~~~~~' |
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| 83 | ENDIF |
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| 84 | |
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[503] | 85 | IF( neuler == 0 .AND. kt == nit000 ) THEN ; z2 = 1. |
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| 86 | ELSE ; z2 = 2. |
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[3] | 87 | ENDIF |
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| 88 | |
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| 89 | ! I. Horizontal advective fluxes |
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| 90 | ! ------------------------------ |
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| 91 | |
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| 92 | ! first guess of the slopes |
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| 93 | ! interior values |
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| 94 | DO jk = 1, jpkm1 |
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| 95 | DO jj = 1, jpjm1 |
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| 96 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 97 | zt1(ji,jj,jk) = umask(ji,jj,jk) * ( tb(ji+1,jj,jk) - tb(ji,jj,jk) ) |
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| 98 | zs1(ji,jj,jk) = umask(ji,jj,jk) * ( sb(ji+1,jj,jk) - sb(ji,jj,jk) ) |
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| 99 | zt2(ji,jj,jk) = vmask(ji,jj,jk) * ( tb(ji,jj+1,jk) - tb(ji,jj,jk) ) |
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| 100 | zs2(ji,jj,jk) = vmask(ji,jj,jk) * ( sb(ji,jj+1,jk) - sb(ji,jj,jk) ) |
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| 101 | END DO |
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| 102 | END DO |
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| 103 | END DO |
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| 104 | ! bottom values |
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| 105 | zt1(:,:,jpk) = 0.e0 ; zt2(:,:,jpk) = 0.e0 |
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| 106 | zs1(:,:,jpk) = 0.e0 ; zs2(:,:,jpk) = 0.e0 |
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| 107 | |
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| 108 | ! lateral boundary conditions on zt1, zt2 ; zs1, zs2 (changed sign) |
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| 109 | CALL lbc_lnk( zt1, 'U', -1. ) ; CALL lbc_lnk( zs1, 'U', -1. ) |
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| 110 | CALL lbc_lnk( zt2, 'V', -1. ) ; CALL lbc_lnk( zs2, 'V', -1. ) |
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| 111 | |
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| 112 | ! Slopes |
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| 113 | ! interior values |
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| 114 | DO jk = 1, jpkm1 |
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| 115 | DO jj = 2, jpj |
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[97] | 116 | DO ji = fs_2, jpi ! vector opt. |
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| 117 | ztp1(ji,jj,jk) = ( zt1(ji,jj,jk) + zt1(ji-1,jj ,jk) ) & |
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| 118 | & * ( 0.25 + SIGN( 0.25, zt1(ji,jj,jk) * zt1(ji-1,jj ,jk) ) ) |
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| 119 | zsp1(ji,jj,jk) = ( zs1(ji,jj,jk) + zs1(ji-1,jj ,jk) ) & |
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| 120 | & * ( 0.25 + SIGN( 0.25, zs1(ji,jj,jk) * zs1(ji-1,jj ,jk) ) ) |
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| 121 | ztp2(ji,jj,jk) = ( zt2(ji,jj,jk) + zt2(ji ,jj-1,jk) ) & |
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| 122 | & * ( 0.25 + SIGN( 0.25, zt2(ji,jj,jk) * zt2(ji ,jj-1,jk) ) ) |
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| 123 | zsp2(ji,jj,jk) = ( zs2(ji,jj,jk) + zs2(ji ,jj-1,jk) ) & |
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| 124 | & * ( 0.25 + SIGN( 0.25, zs2(ji,jj,jk) * zs2(ji ,jj-1,jk) ) ) |
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[3] | 125 | END DO |
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| 126 | END DO |
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| 127 | END DO |
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| 128 | ! bottom values |
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| 129 | ztp1(:,:,jpk) = 0.e0 ; ztp2(:,:,jpk) = 0.e0 |
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| 130 | zsp1(:,:,jpk) = 0.e0 ; zsp2(:,:,jpk) = 0.e0 |
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| 131 | |
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[97] | 132 | ! Slopes limitation |
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[3] | 133 | DO jk = 1, jpkm1 |
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| 134 | DO jj = 2, jpj |
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[97] | 135 | DO ji = fs_2, jpi ! vector opt. |
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[3] | 136 | ztp1(ji,jj,jk) = SIGN( 1., ztp1(ji,jj,jk) ) & |
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| 137 | & * MIN( ABS( ztp1(ji ,jj,jk) ), & |
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| 138 | & 2.*ABS( zt1 (ji-1,jj,jk) ), & |
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| 139 | & 2.*ABS( zt1 (ji ,jj,jk) ) ) |
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| 140 | zsp1(ji,jj,jk) = SIGN( 1., zsp1(ji,jj,jk) ) & |
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| 141 | & * MIN( ABS( zsp1(ji ,jj,jk) ), & |
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| 142 | & 2.*ABS( zs1 (ji-1,jj,jk) ), & |
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| 143 | & 2.*ABS( zs1 (ji ,jj,jk) ) ) |
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| 144 | ztp2(ji,jj,jk) = SIGN( 1., ztp2(ji,jj,jk) ) & |
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| 145 | & * MIN( ABS( ztp2(ji,jj ,jk) ), & |
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| 146 | & 2.*ABS( zt2 (ji,jj-1,jk) ), & |
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| 147 | & 2.*ABS( zt2 (ji,jj ,jk) ) ) |
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| 148 | zsp2(ji,jj,jk) = SIGN( 1., zsp2(ji,jj,jk) ) & |
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| 149 | & * MIN( ABS( zsp2(ji,jj ,jk) ), & |
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| 150 | & 2.*ABS( zs2 (ji,jj-1,jk) ), & |
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| 151 | & 2.*ABS( zs2 (ji,jj ,jk) ) ) |
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| 152 | END DO |
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| 153 | END DO |
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| 154 | END DO |
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| 155 | |
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| 156 | ! Advection terms |
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| 157 | ! interior values |
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| 158 | DO jk = 1, jpkm1 |
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| 159 | zstep = z2 * rdttra(jk) |
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| 160 | DO jj = 2, jpjm1 |
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| 161 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 162 | ! volume fluxes |
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[457] | 163 | #if defined key_zco |
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| 164 | zeu = e2u(ji,jj) * pun(ji,jj,jk) |
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| 165 | zev = e1v(ji,jj) * pvn(ji,jj,jk) |
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[3] | 166 | #else |
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[457] | 167 | zeu = e2u(ji,jj) * fse3u(ji,jj,jk) * pun(ji,jj,jk) |
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| 168 | zev = e1v(ji,jj) * fse3v(ji,jj,jk) * pvn(ji,jj,jk) |
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[3] | 169 | #endif |
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| 170 | ! MUSCL fluxes |
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[457] | 171 | z0u = SIGN( 0.5, pun(ji,jj,jk) ) |
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[3] | 172 | zalpha = 0.5 - z0u |
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[457] | 173 | zu = z0u - 0.5 * pun(ji,jj,jk) * zstep / e1u(ji,jj) |
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[3] | 174 | zzt1 = tb(ji+1,jj,jk) + zu*ztp1(ji+1,jj,jk) |
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| 175 | zzt2 = tb(ji ,jj,jk) + zu*ztp1(ji ,jj,jk) |
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| 176 | zzs1 = sb(ji+1,jj,jk) + zu*zsp1(ji+1,jj,jk) |
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| 177 | zzs2 = sb(ji ,jj,jk) + zu*zsp1(ji ,jj,jk) |
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| 178 | zt1(ji,jj,jk) = zeu * ( zalpha * zzt1 + (1.-zalpha) * zzt2 ) |
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| 179 | zs1(ji,jj,jk) = zeu * ( zalpha * zzs1 + (1.-zalpha) * zzs2 ) |
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[503] | 180 | ! |
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[457] | 181 | z0v = SIGN( 0.5, pvn(ji,jj,jk) ) |
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[3] | 182 | zalpha = 0.5 - z0v |
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[457] | 183 | zv = z0v - 0.5 * pvn(ji,jj,jk) * zstep / e2v(ji,jj) |
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[3] | 184 | zzt1 = tb(ji,jj+1,jk) + zv*ztp2(ji,jj+1,jk) |
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| 185 | zzt2 = tb(ji,jj ,jk) + zv*ztp2(ji,jj ,jk) |
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| 186 | zzs1 = sb(ji,jj+1,jk) + zv*zsp2(ji,jj+1,jk) |
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| 187 | zzs2 = sb(ji,jj ,jk) + zv*zsp2(ji,jj ,jk) |
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| 188 | zt2(ji,jj,jk) = zev * ( zalpha * zzt1 + (1.-zalpha) * zzt2 ) |
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| 189 | zs2(ji,jj,jk) = zev * ( zalpha * zzs1 + (1.-zalpha) * zzs2 ) |
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| 190 | END DO |
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| 191 | END DO |
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| 192 | END DO |
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| 193 | |
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| 194 | !!!! centered scheme at lateral b.C. if off-shore velocity |
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| 195 | DO jk = 1, jpkm1 |
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| 196 | DO jj = 2, jpjm1 |
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| 197 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[457] | 198 | #if defined key_zco |
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[3] | 199 | IF( umask(ji,jj,jk) == 0. ) THEN |
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[457] | 200 | IF( pun(ji+1,jj,jk) > 0. .AND. ji /= jpi ) THEN |
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| 201 | zt1(ji+1,jj,jk) = e2u(ji+1,jj) * pun(ji+1,jj,jk) * ( tb(ji+1,jj,jk) + tb(ji+2,jj,jk) ) * 0.5 |
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| 202 | zs1(ji+1,jj,jk) = e2u(ji+1,jj) * pun(ji+1,jj,jk) * ( sb(ji+1,jj,jk) + sb(ji+2,jj,jk) ) * 0.5 |
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[3] | 203 | ENDIF |
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[457] | 204 | IF( pun(ji-1,jj,jk) < 0. ) THEN |
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| 205 | zt1(ji-1,jj,jk) = e2u(ji-1,jj) * pun(ji-1,jj,jk) * ( tb(ji-1,jj,jk) + tb(ji ,jj,jk) ) * 0.5 |
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| 206 | zs1(ji-1,jj,jk) = e2u(ji-1,jj) * pun(ji-1,jj,jk) * ( sb(ji-1,jj,jk) + sb(ji ,jj,jk) ) * 0.5 |
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[3] | 207 | ENDIF |
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| 208 | ENDIF |
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| 209 | IF( vmask(ji,jj,jk) == 0. ) THEN |
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[457] | 210 | IF( pvn(ji,jj+1,jk) > 0. .AND. jj /= jpj ) THEN |
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| 211 | zt2(ji,jj+1,jk) = e1v(ji,jj+1) * pvn(ji,jj+1,jk) * ( tb(ji,jj+1,jk) + tb(ji,jj+2,jk) ) * 0.5 |
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| 212 | zs2(ji,jj+1,jk) = e1v(ji,jj+1) * pvn(ji,jj+1,jk) * ( sb(ji,jj+1,jk) + sb(ji,jj+2,jk) ) * 0.5 |
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[3] | 213 | ENDIF |
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[457] | 214 | IF( pvn(ji,jj-1,jk) < 0. ) THEN |
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| 215 | zt2(ji,jj-1,jk) = e1v(ji,jj-1) * pvn(ji,jj-1,jk) * ( tb(ji,jj-1,jk) + tb(ji ,jj,jk) ) * 0.5 |
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| 216 | zs2(ji,jj-1,jk) = e1v(ji,jj-1) * pvn(ji,jj-1,jk) * ( sb(ji,jj-1,jk) + sb(ji ,jj,jk) ) * 0.5 |
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[3] | 217 | ENDIF |
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| 218 | ENDIF |
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| 219 | #else |
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| 220 | IF( umask(ji,jj,jk) == 0. ) THEN |
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[457] | 221 | IF( pun(ji+1,jj,jk) > 0. .AND. ji /= jpi ) THEN |
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| 222 | zt1(ji+1,jj,jk) = e2u(ji+1,jj)* fse3u(ji+1,jj,jk) & |
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| 223 | & * pun(ji+1,jj,jk) * ( tb(ji+1,jj,jk) + tb(ji+2,jj,jk) ) * 0.5 |
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| 224 | zs1(ji+1,jj,jk) = e2u(ji+1,jj)* fse3u(ji+1,jj,jk) & |
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| 225 | & * pun(ji+1,jj,jk) * ( sb(ji+1,jj,jk) + sb(ji+2,jj,jk) ) * 0.5 |
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[3] | 226 | ENDIF |
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[457] | 227 | IF( pun(ji-1,jj,jk) < 0. ) THEN |
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| 228 | zt1(ji-1,jj,jk) = e2u(ji-1,jj)* fse3u(ji-1,jj,jk) & |
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| 229 | & * pun(ji-1,jj,jk) * ( tb(ji-1,jj,jk) + tb(ji ,jj,jk) ) * 0.5 |
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| 230 | zs1(ji-1,jj,jk) = e2u(ji-1,jj)* fse3u(ji-1,jj,jk) & |
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| 231 | & * pun(ji-1,jj,jk) * ( sb(ji-1,jj,jk) + sb(ji ,jj,jk) ) * 0.5 |
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[3] | 232 | ENDIF |
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| 233 | ENDIF |
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| 234 | IF( vmask(ji,jj,jk) == 0. ) THEN |
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[457] | 235 | IF( pvn(ji,jj+1,jk) > 0. .AND. jj /= jpj ) THEN |
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| 236 | zt2(ji,jj+1,jk) = e1v(ji,jj+1) * fse3v(ji,jj+1,jk) & |
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| 237 | & * pvn(ji,jj+1,jk) * ( tb(ji,jj+1,jk) + tb(ji,jj+2,jk) ) * 0.5 |
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| 238 | zs2(ji,jj+1,jk) = e1v(ji,jj+1) * fse3v(ji,jj+1,jk) & |
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| 239 | & * pvn(ji,jj+1,jk) * ( sb(ji,jj+1,jk) + sb(ji,jj+2,jk) ) * 0.5 |
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[3] | 240 | ENDIF |
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[457] | 241 | IF( pvn(ji,jj-1,jk) < 0. ) THEN |
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| 242 | zt2(ji,jj-1,jk) = e1v(ji,jj-1)* fse3v(ji,jj-1,jk) & |
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| 243 | & * pvn(ji,jj-1,jk) * ( tb(ji,jj-1,jk) + tb(ji ,jj,jk) ) * 0.5 |
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| 244 | zs2(ji,jj-1,jk) = e1v(ji,jj-1)* fse3v(ji,jj-1,jk) & |
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| 245 | & * pvn(ji,jj-1,jk) * ( sb(ji,jj-1,jk) + sb(ji ,jj,jk) ) * 0.5 |
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[3] | 246 | ENDIF |
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| 247 | ENDIF |
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| 248 | #endif |
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| 249 | END DO |
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| 250 | END DO |
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| 251 | END DO |
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| 252 | |
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| 253 | ! lateral boundary conditions on zt1, zt2 ; zs1, zs2 (changed sign) |
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| 254 | CALL lbc_lnk( zt1, 'U', -1. ) ; CALL lbc_lnk( zs1, 'U', -1. ) |
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| 255 | CALL lbc_lnk( zt2, 'V', -1. ) ; CALL lbc_lnk( zs2, 'V', -1. ) |
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| 256 | |
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| 257 | ! Compute & add the horizontal advective trend |
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[216] | 258 | |
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[3] | 259 | DO jk = 1, jpkm1 |
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| 260 | DO jj = 2, jpjm1 |
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| 261 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[457] | 262 | #if defined key_zco |
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| 263 | zbtr = 1. / ( e1t(ji,jj)*e2t(ji,jj) ) |
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| 264 | #else |
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[3] | 265 | zbtr = 1. / ( e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk) ) |
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| 266 | #endif |
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| 267 | ! horizontal advective trends |
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| 268 | zta = - zbtr * ( zt1(ji,jj,jk) - zt1(ji-1,jj ,jk ) & |
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| 269 | & + zt2(ji,jj,jk) - zt2(ji ,jj-1,jk ) ) |
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| 270 | zsa = - zbtr * ( zs1(ji,jj,jk) - zs1(ji-1,jj ,jk ) & |
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| 271 | & + zs2(ji,jj,jk) - zs2(ji ,jj-1,jk ) ) |
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| 272 | ! add it to the general tracer trends |
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| 273 | ta(ji,jj,jk) = ta(ji,jj,jk) + zta |
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| 274 | sa(ji,jj,jk) = sa(ji,jj,jk) + zsa |
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| 275 | END DO |
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| 276 | END DO |
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| 277 | END DO |
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| 278 | |
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[216] | 279 | ! Save the horizontal advective trends for diagnostic |
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[503] | 280 | IF( l_trdtra ) THEN |
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| 281 | ztrdt(:,:,:) = 0.e0 ; ztrds(:,:,:) = 0.e0 |
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| 282 | ! |
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| 283 | ! T/S ZONAL advection trends |
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| 284 | DO jk = 1, jpkm1 |
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| 285 | DO jj = 2, jpjm1 |
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| 286 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 287 | !-- Compute zonal divergence by splitting hdivn (see divcur.F90) |
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| 288 | ! N.B. This computation is not valid along OBCs (if any) |
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| 289 | #if defined key_zco |
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| 290 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) ) |
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| 291 | z_hdivn_x = ( e2u(ji ,jj) * pun(ji ,jj,jk) & |
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| 292 | & - e2u(ji-1,jj) * pun(ji-1,jj,jk) ) * zbtr |
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| 293 | #else |
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| 294 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 295 | z_hdivn_x = ( e2u(ji ,jj) * fse3u(ji ,jj,jk) * pun(ji ,jj,jk) & |
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| 296 | & - e2u(ji-1,jj) * fse3u(ji-1,jj,jk) * pun(ji-1,jj,jk) ) * zbtr |
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| 297 | #endif |
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| 298 | ztrdt(ji,jj,jk) = - zbtr * ( zt1(ji,jj,jk) - zt1(ji-1,jj,jk) ) + tn(ji,jj,jk) * z_hdivn_x |
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| 299 | ztrds(ji,jj,jk) = - zbtr * ( zs1(ji,jj,jk) - zs1(ji-1,jj,jk) ) + sn(ji,jj,jk) * z_hdivn_x |
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| 300 | END DO |
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| 301 | END DO |
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| 302 | END DO |
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| 303 | CALL trd_mod(ztrdt, ztrds, jptra_trd_xad, 'TRA', kt) |
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[216] | 304 | |
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[503] | 305 | ! T/S MERIDIONAL advection trends |
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| 306 | DO jk = 1, jpkm1 |
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| 307 | DO jj = 2, jpjm1 |
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| 308 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 309 | !-- Compute merid. divergence by splitting hdivn (see divcur.F90) |
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| 310 | ! N.B. This computation is not valid along OBCs (if any) |
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| 311 | #if defined key_zco |
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| 312 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) ) |
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| 313 | z_hdivn_y = ( e1v(ji,jj ) * pvn(ji,jj ,jk) & |
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| 314 | & - e1v(ji,jj-1) * pvn(ji,jj-1,jk) ) * zbtr |
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| 315 | #else |
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| 316 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 317 | z_hdivn_y = ( e1v(ji, jj) * fse3v(ji,jj ,jk) * pvn(ji,jj ,jk) & |
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| 318 | & - e1v(ji,jj-1) * fse3v(ji,jj-1,jk) * pvn(ji,jj-1,jk) ) * zbtr |
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| 319 | #endif |
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| 320 | ztrdt(ji,jj,jk) = - zbtr * ( zt2(ji,jj,jk) - zt2(ji,jj-1,jk) ) + tn(ji,jj,jk) * z_hdivn_y |
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| 321 | ztrds(ji,jj,jk) = - zbtr * ( zs2(ji,jj,jk) - zs2(ji,jj-1,jk) ) + sn(ji,jj,jk) * z_hdivn_y |
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| 322 | END DO |
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| 323 | END DO |
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| 324 | END DO |
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| 325 | CALL trd_mod(ztrdt, ztrds, jptra_trd_yad, 'TRA', kt) |
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[216] | 326 | |
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[503] | 327 | ! Save the up-to-date ta and sa trends |
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| 328 | ztrdt(:,:,:) = ta(:,:,:) |
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| 329 | ztrds(:,:,:) = sa(:,:,:) |
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| 330 | ! |
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[216] | 331 | ENDIF |
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| 332 | |
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[503] | 333 | IF(ln_ctl) CALL prt_ctl( tab3d_1=ta, clinfo1=' muscl2 had - Ta: ', mask1=tmask, & |
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| 334 | & tab3d_2=sa, clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra') |
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[97] | 335 | |
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[3] | 336 | ! "zonal" mean advective heat and salt transport |
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[132] | 337 | IF( ln_diaptr .AND. ( MOD( kt, nf_ptr ) == 0 ) ) THEN |
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[457] | 338 | IF( lk_zco ) THEN |
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| 339 | DO jk = 1, jpkm1 |
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| 340 | DO jj = 2, jpjm1 |
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| 341 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 342 | zt2(ji,jj,jk) = zt2(ji,jj,jk) * fse3v(ji,jj,jk) |
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| 343 | zs2(ji,jj,jk) = zs2(ji,jj,jk) * fse3v(ji,jj,jk) |
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| 344 | END DO |
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[3] | 345 | END DO |
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| 346 | END DO |
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[457] | 347 | ENDIF |
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[132] | 348 | pht_adv(:) = ptr_vj( zt2(:,:,:) ) |
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| 349 | pst_adv(:) = ptr_vj( zs2(:,:,:) ) |
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[3] | 350 | ENDIF |
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| 351 | |
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| 352 | ! II. Vertical advective fluxes |
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| 353 | ! ----------------------------- |
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| 354 | |
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| 355 | ! First guess of the slope |
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| 356 | ! interior values |
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| 357 | DO jk = 2, jpkm1 |
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| 358 | zt1(:,:,jk) = tmask(:,:,jk) * ( tb(:,:,jk-1) - tb(:,:,jk) ) |
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| 359 | zs1(:,:,jk) = tmask(:,:,jk) * ( sb(:,:,jk-1) - sb(:,:,jk) ) |
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| 360 | END DO |
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| 361 | ! surface & bottom boundary conditions |
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| 362 | zt1 (:,:, 1 ) = 0.e0 ; zt1 (:,:,jpk) = 0.e0 |
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| 363 | zs1 (:,:, 1 ) = 0.e0 ; zs1 (:,:,jpk) = 0.e0 |
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| 364 | |
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| 365 | ! Slopes |
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| 366 | DO jk = 2, jpkm1 |
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| 367 | DO jj = 1, jpj |
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| 368 | DO ji = 1, jpi |
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[97] | 369 | ztp1(ji,jj,jk) = ( zt1(ji,jj,jk) + zt1(ji,jj,jk+1) ) & |
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| 370 | & * ( 0.25 + SIGN( 0.25, zt1(ji,jj,jk) * zt1(ji,jj,jk+1) ) ) |
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| 371 | zsp1(ji,jj,jk) = ( zs1(ji,jj,jk) + zs1(ji,jj,jk+1) ) & |
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| 372 | & * ( 0.25 + SIGN( 0.25, zs1(ji,jj,jk) * zs1(ji,jj,jk+1) ) ) |
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[3] | 373 | END DO |
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| 374 | END DO |
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| 375 | END DO |
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| 376 | |
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| 377 | ! Slopes limitation |
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| 378 | ! interior values |
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| 379 | DO jk = 2, jpkm1 |
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| 380 | DO jj = 1, jpj |
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| 381 | DO ji = 1, jpi |
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| 382 | ztp1(ji,jj,jk) = SIGN( 1., ztp1(ji,jj,jk) ) & |
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| 383 | & * MIN( ABS( ztp1(ji,jj,jk ) ), & |
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| 384 | & 2.*ABS( zt1 (ji,jj,jk+1) ), & |
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| 385 | & 2.*ABS( zt1 (ji,jj,jk ) ) ) |
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| 386 | zsp1(ji,jj,jk) = SIGN( 1., zsp1(ji,jj,jk) ) & |
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| 387 | & * MIN( ABS( zsp1(ji,jj,jk ) ), & |
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| 388 | & 2.*ABS( zs1 (ji,jj,jk+1) ), & |
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| 389 | & 2.*ABS( zs1 (ji,jj,jk ) ) ) |
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| 390 | END DO |
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| 391 | END DO |
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| 392 | END DO |
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| 393 | ! surface values |
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[97] | 394 | ztp1(:,:,1) = 0.e0 |
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| 395 | zsp1(:,:,1) = 0.e0 |
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[3] | 396 | |
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| 397 | ! vertical advective flux |
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| 398 | ! interior values |
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| 399 | DO jk = 1, jpkm1 |
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| 400 | zstep = z2 * rdttra(jk) |
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| 401 | DO jj = 2, jpjm1 |
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| 402 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[457] | 403 | zew = pwn(ji,jj,jk+1) |
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| 404 | z0w = SIGN( 0.5, pwn(ji,jj,jk+1) ) |
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[3] | 405 | zalpha = 0.5 + z0w |
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[457] | 406 | zw = z0w - 0.5 * pwn(ji,jj,jk+1)*zstep / fse3w(ji,jj,jk+1) |
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[3] | 407 | zzt1 = tb(ji,jj,jk+1) + zw*ztp1(ji,jj,jk+1) |
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| 408 | zzt2 = tb(ji,jj,jk ) + zw*ztp1(ji,jj,jk ) |
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| 409 | zzs1 = sb(ji,jj,jk+1) + zw*zsp1(ji,jj,jk+1) |
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| 410 | zzs2 = sb(ji,jj,jk ) + zw*zsp1(ji,jj,jk ) |
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| 411 | zt1(ji,jj,jk+1) = zew * ( zalpha * zzt1 + (1.-zalpha)*zzt2 ) |
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| 412 | zs1(ji,jj,jk+1) = zew * ( zalpha * zzs1 + (1.-zalpha)*zzs2 ) |
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| 413 | END DO |
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| 414 | END DO |
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| 415 | END DO |
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| 416 | DO jk = 2, jpkm1 |
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| 417 | DO jj = 2, jpjm1 |
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| 418 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 419 | IF( tmask(ji,jj,jk+1) == 0. ) THEN |
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[457] | 420 | IF( pwn(ji,jj,jk) > 0. ) THEN |
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| 421 | zt1(ji,jj,jk) = pwn(ji,jj,jk) * ( tb(ji,jj,jk-1) + tb(ji,jj,jk) ) * 0.5 |
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| 422 | zs1(ji,jj,jk) = pwn(ji,jj,jk) * ( sb(ji,jj,jk-1) + sb(ji,jj,jk) ) * 0.5 |
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[3] | 423 | ENDIF |
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| 424 | ENDIF |
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| 425 | END DO |
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| 426 | END DO |
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| 427 | END DO |
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| 428 | |
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| 429 | ! surface values |
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[1528] | 430 | IF( lk_vvl ) THEN |
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| 431 | ! variable volume : flux set to zero |
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[359] | 432 | zt1(:,:, 1 ) = 0.e0 |
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| 433 | zs1(:,:, 1 ) = 0.e0 |
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[1528] | 434 | ELSE |
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| 435 | ! free surface-constant volume |
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[457] | 436 | zt1(:,:, 1 ) = pwn(:,:,1) * tb(:,:,1) |
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| 437 | zs1(:,:, 1 ) = pwn(:,:,1) * sb(:,:,1) |
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[3] | 438 | ENDIF |
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| 439 | |
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| 440 | ! bottom values |
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| 441 | zt1(:,:,jpk) = 0.e0 |
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| 442 | zs1(:,:,jpk) = 0.e0 |
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| 443 | |
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| 444 | |
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| 445 | ! Compute & add the vertical advective trend |
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| 446 | |
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| 447 | DO jk = 1, jpkm1 |
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| 448 | DO jj = 2, jpjm1 |
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| 449 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 450 | zbtr = 1. / fse3t(ji,jj,jk) |
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| 451 | ! horizontal advective trends |
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| 452 | zta = - zbtr * ( zt1(ji,jj,jk) - zt1(ji,jj,jk+1) ) |
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| 453 | zsa = - zbtr * ( zs1(ji,jj,jk) - zs1(ji,jj,jk+1) ) |
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| 454 | ! add it to the general tracer trends |
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| 455 | ta(ji,jj,jk) = ta(ji,jj,jk) + zta |
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| 456 | sa(ji,jj,jk) = sa(ji,jj,jk) + zsa |
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| 457 | END DO |
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| 458 | END DO |
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| 459 | END DO |
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| 460 | |
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[216] | 461 | ! Save the vertical advective trends for diagnostic |
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| 462 | IF( l_trdtra ) THEN |
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| 463 | ! Recompute the vertical advection zta & zsa trends computed |
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| 464 | ! at the step 2. above in making the difference between the new |
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[503] | 465 | ! trends and the previous one: ta()/sa - ztrdt()/ztrds() and substract |
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[216] | 466 | ! the term tn()/sn()*hdivn() to recover the W gradz(T/S) trends |
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| 467 | |
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[503] | 468 | DO jk = 1, jpkm1 |
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| 469 | DO jj = 2, jpjm1 |
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| 470 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 471 | #if defined key_zco |
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| 472 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) ) |
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| 473 | z_hdivn_x = e2u(ji,jj)*pun(ji,jj,jk) - e2u(ji-1,jj)*pun(ji-1,jj,jk) |
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| 474 | z_hdivn_y = e1v(ji,jj)*pvn(ji,jj,jk) - e1v(ji,jj-1)*pvn(ji,jj-1,jk) |
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| 475 | #else |
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| 476 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 477 | z_hdivn_x = e2u(ji,jj)*fse3u(ji,jj,jk)*pun(ji,jj,jk) - e2u(ji-1,jj)*fse3u(ji-1,jj,jk)*pun(ji-1,jj,jk) |
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| 478 | z_hdivn_y = e1v(ji,jj)*fse3v(ji,jj,jk)*pvn(ji,jj,jk) - e1v(ji,jj-1)*fse3v(ji,jj-1,jk)*pvn(ji,jj-1,jk) |
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| 479 | #endif |
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| 480 | z_hdivn = (z_hdivn_x + z_hdivn_y) * zbtr |
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| 481 | ztrdt(ji,jj,jk) = ta(ji,jj,jk) - ztrdt(ji,jj,jk) - tn(ji,jj,jk) * z_hdivn |
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| 482 | ztrds(ji,jj,jk) = sa(ji,jj,jk) - ztrds(ji,jj,jk) - sn(ji,jj,jk) * z_hdivn |
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| 483 | END DO |
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| 484 | END DO |
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| 485 | END DO |
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| 486 | CALL trd_mod(ztrdt, ztrds, jptra_trd_zad, 'TRA', kt) |
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| 487 | ! |
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[216] | 488 | ENDIF |
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| 489 | |
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[503] | 490 | IF(ln_ctl) CALL prt_ctl( tab3d_1=ta, clinfo1=' muscl2 zad - Ta: ', mask1=tmask, & |
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| 491 | & tab3d_2=sa, clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra' ) |
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| 492 | ! |
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[3] | 493 | END SUBROUTINE tra_adv_muscl2 |
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| 494 | |
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| 495 | !!====================================================================== |
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| 496 | END MODULE traadv_muscl2 |
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