[3] | 1 | MODULE dynnxt |
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[1502] | 2 | !!========================================================================= |
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[3] | 3 | !! *** MODULE dynnxt *** |
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| 4 | !! Ocean dynamics: time stepping |
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[1502] | 5 | !!========================================================================= |
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[1438] | 6 | !! History : OPA ! 1987-02 (P. Andrich, D. L Hostis) Original code |
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| 7 | !! ! 1990-10 (C. Levy, G. Madec) |
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| 8 | !! 7.0 ! 1993-03 (M. Guyon) symetrical conditions |
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| 9 | !! 8.0 ! 1997-02 (G. Madec & M. Imbard) opa, release 8.0 |
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| 10 | !! 8.2 ! 1997-04 (A. Weaver) Euler forward step |
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| 11 | !! - ! 1997-06 (G. Madec) lateral boudary cond., lbc routine |
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| 12 | !! NEMO 1.0 ! 2002-08 (G. Madec) F90: Free form and module |
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| 13 | !! - ! 2002-10 (C. Talandier, A-M. Treguier) Open boundary cond. |
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| 14 | !! 2.0 ! 2005-11 (V. Garnier) Surface pressure gradient organization |
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| 15 | !! 2.3 ! 2007-07 (D. Storkey) Calls to BDY routines. |
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[1502] | 16 | !! 3.2 ! 2009-06 (G. Madec, R.Benshila) re-introduce the vvl option |
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[2528] | 17 | !! 3.3 ! 2010-09 (D. Storkey, E.O'Dea) Bug fix for BDY module |
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[2723] | 18 | !! 3.3 ! 2011-03 (P. Oddo) Bug fix for time-splitting+(BDY-OBC) and not VVL |
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[3316] | 19 | !! 3.4 ! 2012-02 (G. Madec) add the diagnostic of the time filter trends |
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[1502] | 20 | !!------------------------------------------------------------------------- |
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[1438] | 21 | |
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[1502] | 22 | !!------------------------------------------------------------------------- |
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| 23 | !! dyn_nxt : obtain the next (after) horizontal velocity |
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| 24 | !!------------------------------------------------------------------------- |
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[3] | 25 | USE oce ! ocean dynamics and tracers |
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| 26 | USE dom_oce ! ocean space and time domain |
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[2528] | 27 | USE sbc_oce ! Surface boundary condition: ocean fields |
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[3316] | 28 | USE trdmod_oce ! ocean trends |
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[2528] | 29 | USE phycst ! physical constants |
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[1502] | 30 | USE dynspg_oce ! type of surface pressure gradient |
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| 31 | USE dynadv ! dynamics: vector invariant versus flux form |
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| 32 | USE domvvl ! variable volume |
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[3317] | 33 | USE trdmod ! ocean dynamics trends |
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| 34 | USE trdmod_oce ! ocean variables trends |
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[367] | 35 | USE obc_oce ! ocean open boundary conditions |
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[3] | 36 | USE obcdyn ! open boundary condition for momentum (obc_dyn routine) |
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[367] | 37 | USE obcdyn_bt ! 2D open boundary condition for momentum (obc_dyn_bt routine) |
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| 38 | USE obcvol ! ocean open boundary condition (obc_vol routines) |
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[3294] | 39 | USE bdy_oce ! ocean open boundary conditions |
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| 40 | USE bdydta ! ocean open boundary conditions |
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| 41 | USE bdydyn ! ocean open boundary conditions |
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| 42 | USE bdyvol ! ocean open boundary condition (bdy_vol routines) |
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[1502] | 43 | USE in_out_manager ! I/O manager |
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[3316] | 44 | USE iom ! I/O manager library |
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[3] | 45 | USE lbclnk ! lateral boundary condition (or mpp link) |
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[2715] | 46 | USE lib_mpp ! MPP library |
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[3294] | 47 | USE wrk_nemo ! Memory Allocation |
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[258] | 48 | USE prtctl ! Print control |
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[3316] | 49 | USE timing ! Timing |
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[2528] | 50 | #if defined key_agrif |
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| 51 | USE agrif_opa_interp |
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| 52 | #endif |
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[3] | 53 | |
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| 54 | IMPLICIT NONE |
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| 55 | PRIVATE |
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| 56 | |
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[1438] | 57 | PUBLIC dyn_nxt ! routine called by step.F90 |
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| 58 | |
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[592] | 59 | !! * Substitutions |
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| 60 | # include "domzgr_substitute.h90" |
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[2715] | 61 | !!---------------------------------------------------------------------- |
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[2528] | 62 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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[1438] | 63 | !! $Id$ |
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[2715] | 64 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 65 | !!---------------------------------------------------------------------- |
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[3] | 66 | CONTAINS |
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| 67 | |
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| 68 | SUBROUTINE dyn_nxt ( kt ) |
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| 69 | !!---------------------------------------------------------------------- |
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| 70 | !! *** ROUTINE dyn_nxt *** |
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| 71 | !! |
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[1502] | 72 | !! ** Purpose : Compute the after horizontal velocity. Apply the boundary |
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| 73 | !! condition on the after velocity, achieved the time stepping |
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| 74 | !! by applying the Asselin filter on now fields and swapping |
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| 75 | !! the fields. |
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[3] | 76 | !! |
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[1502] | 77 | !! ** Method : * After velocity is compute using a leap-frog scheme: |
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| 78 | !! (ua,va) = (ub,vb) + 2 rdt (ua,va) |
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| 79 | !! Note that with flux form advection and variable volume layer |
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| 80 | !! (lk_vvl=T), the leap-frog is applied on thickness weighted |
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| 81 | !! velocity. |
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| 82 | !! Note also that in filtered free surface (lk_dynspg_flt=T), |
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| 83 | !! the time stepping has already been done in dynspg module |
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[3] | 84 | !! |
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[1502] | 85 | !! * Apply lateral boundary conditions on after velocity |
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| 86 | !! at the local domain boundaries through lbc_lnk call, |
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[3294] | 87 | !! at the one-way open boundaries (lk_obc=T), |
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[3316] | 88 | !! at the AGRIF zoom boundaries (lk_agrif=T) |
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[3] | 89 | !! |
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[1502] | 90 | !! * Apply the time filter applied and swap of the dynamics |
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| 91 | !! arrays to start the next time step: |
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| 92 | !! (ub,vb) = (un,vn) + atfp [ (ub,vb) + (ua,va) - 2 (un,vn) ] |
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| 93 | !! (un,vn) = (ua,va). |
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| 94 | !! Note that with flux form advection and variable volume layer |
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| 95 | !! (lk_vvl=T), the time filter is applied on thickness weighted |
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| 96 | !! velocity. |
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| 97 | !! |
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| 98 | !! ** Action : ub,vb filtered before horizontal velocity of next time-step |
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| 99 | !! un,vn now horizontal velocity of next time-step |
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[3] | 100 | !!---------------------------------------------------------------------- |
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| 101 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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[2715] | 102 | ! |
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[3] | 103 | INTEGER :: ji, jj, jk ! dummy loop indices |
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[3294] | 104 | INTEGER :: iku, ikv ! local integers |
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[1566] | 105 | #if ! defined key_dynspg_flt |
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[3] | 106 | REAL(wp) :: z2dt ! temporary scalar |
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[1566] | 107 | #endif |
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[3316] | 108 | REAL(wp) :: zue3a, zue3n, zue3b, zuf, zec ! local scalars |
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| 109 | REAL(wp) :: zve3a, zve3n, zve3b, zvf, z1_2dt ! - - |
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| 110 | REAL(wp), POINTER, DIMENSION(:,:,:) :: ze3u_f, ze3v_f, zua, zva |
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[1502] | 111 | !!---------------------------------------------------------------------- |
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[3294] | 112 | ! |
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| 113 | IF( nn_timing == 1 ) CALL timing_start('dyn_nxt') |
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| 114 | ! |
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[3316] | 115 | CALL wrk_alloc( jpi,jpj,jpk, ze3u_f, ze3v_f, zua, zva ) |
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[3294] | 116 | ! |
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[3] | 117 | IF( kt == nit000 ) THEN |
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| 118 | IF(lwp) WRITE(numout,*) |
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| 119 | IF(lwp) WRITE(numout,*) 'dyn_nxt : time stepping' |
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| 120 | IF(lwp) WRITE(numout,*) '~~~~~~~' |
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| 121 | ENDIF |
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| 122 | |
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[1502] | 123 | #if defined key_dynspg_flt |
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| 124 | ! |
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| 125 | ! Next velocity : Leap-frog time stepping already done in dynspg_flt.F routine |
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| 126 | ! ------------- |
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[3] | 127 | |
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[1502] | 128 | ! Update after velocity on domain lateral boundaries (only local domain required) |
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| 129 | ! -------------------------------------------------- |
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| 130 | CALL lbc_lnk( ua, 'U', -1. ) ! local domain boundaries |
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| 131 | CALL lbc_lnk( va, 'V', -1. ) |
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| 132 | ! |
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| 133 | #else |
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| 134 | ! Next velocity : Leap-frog time stepping |
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[1438] | 135 | ! ------------- |
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[1502] | 136 | z2dt = 2. * rdt ! Euler or leap-frog time step |
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| 137 | IF( neuler == 0 .AND. kt == nit000 ) z2dt = rdt |
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| 138 | ! |
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| 139 | IF( ln_dynadv_vec .OR. .NOT. lk_vvl ) THEN ! applied on velocity |
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[1438] | 140 | DO jk = 1, jpkm1 |
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[1502] | 141 | ua(:,:,jk) = ( ub(:,:,jk) + z2dt * ua(:,:,jk) ) * umask(:,:,jk) |
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| 142 | va(:,:,jk) = ( vb(:,:,jk) + z2dt * va(:,:,jk) ) * vmask(:,:,jk) |
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| 143 | END DO |
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| 144 | ELSE ! applied on thickness weighted velocity |
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| 145 | DO jk = 1, jpkm1 |
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| 146 | ua(:,:,jk) = ( ub(:,:,jk) * fse3u_b(:,:,jk) & |
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| 147 | & + z2dt * ua(:,:,jk) * fse3u_n(:,:,jk) ) & |
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[1438] | 148 | & / fse3u_a(:,:,jk) * umask(:,:,jk) |
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[1502] | 149 | va(:,:,jk) = ( vb(:,:,jk) * fse3v_b(:,:,jk) & |
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| 150 | & + z2dt * va(:,:,jk) * fse3v_n(:,:,jk) ) & |
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[1438] | 151 | & / fse3v_a(:,:,jk) * vmask(:,:,jk) |
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[592] | 152 | END DO |
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| 153 | ENDIF |
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| 154 | |
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[1502] | 155 | |
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| 156 | ! Update after velocity on domain lateral boundaries |
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| 157 | ! -------------------------------------------------- |
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| 158 | CALL lbc_lnk( ua, 'U', -1. ) !* local domain boundaries |
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| 159 | CALL lbc_lnk( va, 'V', -1. ) |
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| 160 | ! |
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[3] | 161 | # if defined key_obc |
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[1502] | 162 | ! !* OBC open boundaries |
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[2528] | 163 | CALL obc_dyn( kt ) |
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[1502] | 164 | ! |
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[2715] | 165 | IF( .NOT. lk_dynspg_flt ) THEN |
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[1502] | 166 | ! Flather boundary condition : - Update sea surface height on each open boundary |
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[2715] | 167 | ! sshn (= after ssh ) for explicit case (lk_dynspg_exp=T) |
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| 168 | ! sshn_b (= after ssha_b) for time-splitting case (lk_dynspg_ts=T) |
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[1502] | 169 | ! - Correct the barotropic velocities |
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[367] | 170 | CALL obc_dyn_bt( kt ) |
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[1438] | 171 | ! |
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[1502] | 172 | !!gm ERROR - potential BUG: sshn should not be modified at this stage !! ssh_nxt not alrady called |
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| 173 | CALL lbc_lnk( sshn, 'T', 1. ) ! Boundary conditions on sshn |
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[1438] | 174 | ! |
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| 175 | IF( ln_vol_cst ) CALL obc_vol( kt ) |
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| 176 | ! |
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| 177 | IF(ln_ctl) CALL prt_ctl( tab2d_1=sshn, clinfo1=' ssh : ', mask1=tmask ) |
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[367] | 178 | ENDIF |
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[1502] | 179 | ! |
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[3294] | 180 | # elif defined key_bdy |
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[1502] | 181 | ! !* BDY open boundaries |
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[3294] | 182 | IF( lk_dynspg_exp ) CALL bdy_dyn( kt ) |
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| 183 | IF( lk_dynspg_ts ) CALL bdy_dyn( kt, dyn3d_only=.true. ) |
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| 184 | |
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| 185 | !!$ Do we need a call to bdy_vol here?? |
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| 186 | ! |
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[1438] | 187 | # endif |
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[1502] | 188 | ! |
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[392] | 189 | # if defined key_agrif |
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[1502] | 190 | CALL Agrif_dyn( kt ) !* AGRIF zoom boundaries |
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[389] | 191 | # endif |
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[3] | 192 | #endif |
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[592] | 193 | |
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[3316] | 194 | IF( ln_3D_trd_d ) THEN ! 3D output: total momentum trends a prepare the atf trend computation |
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| 195 | z1_2dt = 1._wp / (2. * rdt) ! Euler or leap-frog time step |
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| 196 | IF( neuler == 0 .AND. kt == nit000 ) z1_2dt = 1._wp / rdt |
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| 197 | zua(:,:,:) = ( ua(:,:,:) - ub(:,:,:) ) * z1_2dt |
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| 198 | zva(:,:,:) = ( va(:,:,:) - vb(:,:,:) ) * z1_2dt |
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| 199 | CALL iom_put( "utrd_tot", zua ) ! total momentum trends (but the asselin time filter) |
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| 200 | CALL iom_put( "vtrd_tot", zva ) |
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| 201 | zua(:,:,:) = un(:,:,:) ! save the before velocity before the asselin filter |
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| 202 | zva(:,:,:) = vn(:,:,:) ! (caution: there is a shift by 1 timestep in the |
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| 203 | ! ! computation of the asselin filter trends) |
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| 204 | ENDIF |
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| 205 | |
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[1438] | 206 | ! Time filter and swap of dynamics arrays |
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| 207 | ! ------------------------------------------ |
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[1502] | 208 | IF( neuler == 0 .AND. kt == nit000 ) THEN !* Euler at first time-step: only swap |
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| 209 | DO jk = 1, jpkm1 |
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| 210 | un(:,:,jk) = ua(:,:,jk) ! un <-- ua |
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[1438] | 211 | vn(:,:,jk) = va(:,:,jk) |
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| 212 | END DO |
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[1502] | 213 | ELSE !* Leap-Frog : Asselin filter and swap |
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[2528] | 214 | ! ! =============! |
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| 215 | IF( .NOT. lk_vvl ) THEN ! Fixed volume ! |
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| 216 | ! ! =============! |
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[1502] | 217 | DO jk = 1, jpkm1 |
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[592] | 218 | DO jj = 1, jpj |
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[1502] | 219 | DO ji = 1, jpi |
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[2528] | 220 | zuf = un(ji,jj,jk) + atfp * ( ub(ji,jj,jk) - 2.e0 * un(ji,jj,jk) + ua(ji,jj,jk) ) |
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| 221 | zvf = vn(ji,jj,jk) + atfp * ( vb(ji,jj,jk) - 2.e0 * vn(ji,jj,jk) + va(ji,jj,jk) ) |
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[1502] | 222 | ! |
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| 223 | ub(ji,jj,jk) = zuf ! ub <-- filtered velocity |
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| 224 | vb(ji,jj,jk) = zvf |
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| 225 | un(ji,jj,jk) = ua(ji,jj,jk) ! un <-- ua |
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| 226 | vn(ji,jj,jk) = va(ji,jj,jk) |
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| 227 | END DO |
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| 228 | END DO |
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| 229 | END DO |
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[2528] | 230 | ! ! ================! |
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| 231 | ELSE ! Variable volume ! |
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| 232 | ! ! ================! |
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[3294] | 233 | ! |
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| 234 | DO jk = 1, jpkm1 ! Before scale factor at t-points |
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[2528] | 235 | fse3t_b(:,:,jk) = fse3t_n(:,:,jk) & |
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| 236 | & + atfp * ( fse3t_b(:,:,jk) + fse3t_a(:,:,jk) & |
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[3294] | 237 | & - 2._wp * fse3t_n(:,:,jk) ) |
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| 238 | END DO |
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| 239 | zec = atfp * rdt / rau0 ! Add filter correction only at the 1st level of t-point scale factors |
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[2528] | 240 | fse3t_b(:,:,1) = fse3t_b(:,:,1) - zec * ( emp_b(:,:) - emp(:,:) ) * tmask(:,:,1) |
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| 241 | ! |
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[3294] | 242 | IF( ln_dynadv_vec ) THEN ! vector invariant form (no thickness weighted calulation) |
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| 243 | ! |
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| 244 | ! ! before scale factors at u- & v-pts (computed from fse3t_b) |
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| 245 | CALL dom_vvl_2( kt, fse3u_b(:,:,:), fse3v_b(:,:,:) ) |
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| 246 | ! |
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| 247 | DO jk = 1, jpkm1 ! Leap-Frog - Asselin filter and swap: applied on velocity |
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| 248 | DO jj = 1, jpj ! -------- |
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[2528] | 249 | DO ji = 1, jpi |
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| 250 | zuf = un(ji,jj,jk) + atfp * ( ub(ji,jj,jk) - 2.e0 * un(ji,jj,jk) + ua(ji,jj,jk) ) |
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| 251 | zvf = vn(ji,jj,jk) + atfp * ( vb(ji,jj,jk) - 2.e0 * vn(ji,jj,jk) + va(ji,jj,jk) ) |
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| 252 | ! |
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| 253 | ub(ji,jj,jk) = zuf ! ub <-- filtered velocity |
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| 254 | vb(ji,jj,jk) = zvf |
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| 255 | un(ji,jj,jk) = ua(ji,jj,jk) ! un <-- ua |
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| 256 | vn(ji,jj,jk) = va(ji,jj,jk) |
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| 257 | END DO |
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| 258 | END DO |
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| 259 | END DO |
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| 260 | ! |
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[3294] | 261 | ELSE ! flux form (thickness weighted calulation) |
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| 262 | ! |
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| 263 | CALL dom_vvl_2( kt, ze3u_f, ze3v_f ) ! before scale factors at u- & v-pts (computed from fse3t_b) |
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| 264 | ! |
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| 265 | DO jk = 1, jpkm1 ! Leap-Frog - Asselin filter and swap: |
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| 266 | DO jj = 1, jpj ! applied on thickness weighted velocity |
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| 267 | DO ji = 1, jpim1 ! --------------------------- |
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[2528] | 268 | zue3a = ua(ji,jj,jk) * fse3u_a(ji,jj,jk) |
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| 269 | zve3a = va(ji,jj,jk) * fse3v_a(ji,jj,jk) |
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| 270 | zue3n = un(ji,jj,jk) * fse3u_n(ji,jj,jk) |
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| 271 | zve3n = vn(ji,jj,jk) * fse3v_n(ji,jj,jk) |
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| 272 | zue3b = ub(ji,jj,jk) * fse3u_b(ji,jj,jk) |
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| 273 | zve3b = vb(ji,jj,jk) * fse3v_b(ji,jj,jk) |
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| 274 | ! |
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[3294] | 275 | zuf = ( zue3n + atfp * ( zue3b - 2._wp * zue3n + zue3a ) ) / ze3u_f(ji,jj,jk) |
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| 276 | zvf = ( zve3n + atfp * ( zve3b - 2._wp * zve3n + zve3a ) ) / ze3v_f(ji,jj,jk) |
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[2528] | 277 | ! |
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[3294] | 278 | ub(ji,jj,jk) = zuf ! ub <-- filtered velocity |
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[2528] | 279 | vb(ji,jj,jk) = zvf |
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[3294] | 280 | un(ji,jj,jk) = ua(ji,jj,jk) ! un <-- ua |
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[2528] | 281 | vn(ji,jj,jk) = va(ji,jj,jk) |
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| 282 | END DO |
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| 283 | END DO |
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| 284 | END DO |
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[3294] | 285 | fse3u_b(:,:,1:jpkm1) = ze3u_f(:,:,1:jpkm1) ! e3u_b <-- filtered scale factor |
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| 286 | fse3v_b(:,:,1:jpkm1) = ze3v_f(:,:,1:jpkm1) |
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| 287 | CALL lbc_lnk( ub, 'U', -1. ) ! lateral boundary conditions |
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[2528] | 288 | CALL lbc_lnk( vb, 'V', -1. ) |
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| 289 | ENDIF |
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| 290 | ! |
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[3] | 291 | ENDIF |
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[2528] | 292 | ! |
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[258] | 293 | ENDIF |
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[3] | 294 | |
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[3316] | 295 | IF( ln_3D_trd_d ) THEN ! 3D output: asselin filter trends on momentum |
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[3317] | 296 | zua(:,:,:) = ( ub(:,:,:) - zua(:,:,:) ) * z1_2dt |
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| 297 | zva(:,:,:) = ( vb(:,:,:) - zva(:,:,:) ) * z1_2dt |
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| 298 | CALL trd_mod( zua, zva, jpdyn_trd_atf, 'DYN', kt ) |
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[3316] | 299 | ENDIF |
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| 300 | |
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[1438] | 301 | IF(ln_ctl) CALL prt_ctl( tab3d_1=un, clinfo1=' nxt - Un: ', mask1=umask, & |
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| 302 | & tab3d_2=vn, clinfo2=' Vn: ' , mask2=vmask ) |
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| 303 | ! |
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[3316] | 304 | CALL wrk_dealloc( jpi,jpj,jpk, ze3u_f, ze3v_f, zua, zva ) |
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[2715] | 305 | ! |
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[3294] | 306 | IF( nn_timing == 1 ) CALL timing_stop('dyn_nxt') |
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| 307 | ! |
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[3] | 308 | END SUBROUTINE dyn_nxt |
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| 309 | |
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[1502] | 310 | !!========================================================================= |
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[3] | 311 | END MODULE dynnxt |
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