[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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[4292] | 19 | !! 3.5 ! 2013-07 (J. Chanut) Compliant with time splitting changes |
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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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| 28 | USE phycst ! physical constants |
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[1502] | 29 | USE dynspg_oce ! type of surface pressure gradient |
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| 30 | USE dynadv ! dynamics: vector invariant versus flux form |
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| 31 | USE domvvl ! variable volume |
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[3294] | 32 | USE bdy_oce ! ocean open boundary conditions |
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| 33 | USE bdydta ! ocean open boundary conditions |
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| 34 | USE bdydyn ! ocean open boundary conditions |
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| 35 | USE bdyvol ! ocean open boundary condition (bdy_vol routines) |
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[1502] | 36 | USE in_out_manager ! I/O manager |
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[3] | 37 | USE lbclnk ! lateral boundary condition (or mpp link) |
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[2715] | 38 | USE lib_mpp ! MPP library |
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[3294] | 39 | USE wrk_nemo ! Memory Allocation |
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[258] | 40 | USE prtctl ! Print control |
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[4292] | 41 | USE dynspg_ts ! Barotropic velocities |
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| 42 | |
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[2528] | 43 | #if defined key_agrif |
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| 44 | USE agrif_opa_interp |
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| 45 | #endif |
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[3294] | 46 | USE timing ! Timing |
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[3] | 47 | |
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| 48 | IMPLICIT NONE |
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| 49 | PRIVATE |
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| 50 | |
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[1438] | 51 | PUBLIC dyn_nxt ! routine called by step.F90 |
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| 52 | |
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[592] | 53 | !! * Substitutions |
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| 54 | # include "domzgr_substitute.h90" |
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[2715] | 55 | !!---------------------------------------------------------------------- |
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[2528] | 56 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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[1438] | 57 | !! $Id$ |
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[2715] | 58 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 59 | !!---------------------------------------------------------------------- |
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[3] | 60 | CONTAINS |
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| 61 | |
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| 62 | SUBROUTINE dyn_nxt ( kt ) |
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| 63 | !!---------------------------------------------------------------------- |
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| 64 | !! *** ROUTINE dyn_nxt *** |
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| 65 | !! |
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[1502] | 66 | !! ** Purpose : Compute the after horizontal velocity. Apply the boundary |
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| 67 | !! condition on the after velocity, achieved the time stepping |
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| 68 | !! by applying the Asselin filter on now fields and swapping |
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| 69 | !! the fields. |
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[3] | 70 | !! |
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[1502] | 71 | !! ** Method : * After velocity is compute using a leap-frog scheme: |
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| 72 | !! (ua,va) = (ub,vb) + 2 rdt (ua,va) |
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| 73 | !! Note that with flux form advection and variable volume layer |
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| 74 | !! (lk_vvl=T), the leap-frog is applied on thickness weighted |
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| 75 | !! velocity. |
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| 76 | !! Note also that in filtered free surface (lk_dynspg_flt=T), |
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| 77 | !! the time stepping has already been done in dynspg module |
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[3] | 78 | !! |
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[1502] | 79 | !! * Apply lateral boundary conditions on after velocity |
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| 80 | !! at the local domain boundaries through lbc_lnk call, |
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[4328] | 81 | !! at the one-way open boundaries (lk_bdy=T), |
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[1502] | 82 | !! at the AGRIF zoom boundaries (lk_agrif=T) |
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[3] | 83 | !! |
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[1502] | 84 | !! * Apply the time filter applied and swap of the dynamics |
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| 85 | !! arrays to start the next time step: |
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| 86 | !! (ub,vb) = (un,vn) + atfp [ (ub,vb) + (ua,va) - 2 (un,vn) ] |
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| 87 | !! (un,vn) = (ua,va). |
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| 88 | !! Note that with flux form advection and variable volume layer |
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| 89 | !! (lk_vvl=T), the time filter is applied on thickness weighted |
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| 90 | !! velocity. |
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| 91 | !! |
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| 92 | !! ** Action : ub,vb filtered before horizontal velocity of next time-step |
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| 93 | !! un,vn now horizontal velocity of next time-step |
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[3] | 94 | !!---------------------------------------------------------------------- |
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| 95 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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[2715] | 96 | ! |
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[3] | 97 | INTEGER :: ji, jj, jk ! dummy loop indices |
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[3294] | 98 | INTEGER :: iku, ikv ! local integers |
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[1566] | 99 | #if ! defined key_dynspg_flt |
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[3] | 100 | REAL(wp) :: z2dt ! temporary scalar |
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[1566] | 101 | #endif |
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[3294] | 102 | REAL(wp) :: zue3a, zue3n, zue3b, zuf, zec ! local scalars |
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| 103 | REAL(wp) :: zve3a, zve3n, zve3b, zvf ! - - |
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[4312] | 104 | REAL(wp), POINTER, DIMENSION(:,:) :: zua, zva, zhura, zhvra |
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[3294] | 105 | REAL(wp), POINTER, DIMENSION(:,:,:) :: ze3u_f, ze3v_f |
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[1502] | 106 | !!---------------------------------------------------------------------- |
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[3294] | 107 | ! |
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| 108 | IF( nn_timing == 1 ) CALL timing_start('dyn_nxt') |
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| 109 | ! |
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| 110 | CALL wrk_alloc( jpi,jpj,jpk, ze3u_f, ze3v_f ) |
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[4312] | 111 | IF ( lk_dynspg_ts ) CALL wrk_alloc( jpi,jpj, zua, zva, zhura, zhvra ) |
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[3294] | 112 | ! |
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[3] | 113 | IF( kt == nit000 ) THEN |
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| 114 | IF(lwp) WRITE(numout,*) |
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| 115 | IF(lwp) WRITE(numout,*) 'dyn_nxt : time stepping' |
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| 116 | IF(lwp) WRITE(numout,*) '~~~~~~~' |
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| 117 | ENDIF |
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| 118 | |
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[1502] | 119 | #if defined key_dynspg_flt |
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| 120 | ! |
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| 121 | ! Next velocity : Leap-frog time stepping already done in dynspg_flt.F routine |
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| 122 | ! ------------- |
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[3] | 123 | |
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[1502] | 124 | ! Update after velocity on domain lateral boundaries (only local domain required) |
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| 125 | ! -------------------------------------------------- |
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| 126 | CALL lbc_lnk( ua, 'U', -1. ) ! local domain boundaries |
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| 127 | CALL lbc_lnk( va, 'V', -1. ) |
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| 128 | ! |
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| 129 | #else |
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[4292] | 130 | |
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| 131 | # if defined key_dynspg_exp |
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[1502] | 132 | ! Next velocity : Leap-frog time stepping |
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[1438] | 133 | ! ------------- |
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[1502] | 134 | z2dt = 2. * rdt ! Euler or leap-frog time step |
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| 135 | IF( neuler == 0 .AND. kt == nit000 ) z2dt = rdt |
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| 136 | ! |
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| 137 | IF( ln_dynadv_vec .OR. .NOT. lk_vvl ) THEN ! applied on velocity |
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[1438] | 138 | DO jk = 1, jpkm1 |
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[1502] | 139 | ua(:,:,jk) = ( ub(:,:,jk) + z2dt * ua(:,:,jk) ) * umask(:,:,jk) |
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| 140 | va(:,:,jk) = ( vb(:,:,jk) + z2dt * va(:,:,jk) ) * vmask(:,:,jk) |
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| 141 | END DO |
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| 142 | ELSE ! applied on thickness weighted velocity |
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| 143 | DO jk = 1, jpkm1 |
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| 144 | ua(:,:,jk) = ( ub(:,:,jk) * fse3u_b(:,:,jk) & |
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| 145 | & + z2dt * ua(:,:,jk) * fse3u_n(:,:,jk) ) & |
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[1438] | 146 | & / fse3u_a(:,:,jk) * umask(:,:,jk) |
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[1502] | 147 | va(:,:,jk) = ( vb(:,:,jk) * fse3v_b(:,:,jk) & |
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| 148 | & + z2dt * va(:,:,jk) * fse3v_n(:,:,jk) ) & |
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[1438] | 149 | & / fse3v_a(:,:,jk) * vmask(:,:,jk) |
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[592] | 150 | END DO |
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| 151 | ENDIF |
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[4292] | 152 | # endif |
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[592] | 153 | |
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[4292] | 154 | # if defined key_dynspg_ts |
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| 155 | ! Ensure below that barotropic velocities match time splitting estimate |
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| 156 | ! Compute actual transport and replace it with ts estimate at "after" time step |
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| 157 | zua(:,:) = 0._wp |
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| 158 | zva(:,:) = 0._wp |
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| 159 | IF (lk_vvl) THEN |
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[4312] | 160 | zhura(:,:) = 0._wp |
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| 161 | zhvra(:,:) = 0._wp |
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[4292] | 162 | DO jk = 1, jpkm1 |
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| 163 | zua(:,:) = zua(:,:) + fse3u_a(:,:,jk) * ua(:,:,jk) * umask(:,:,jk) |
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[4312] | 164 | zva(:,:) = zva(:,:) + fse3v_a(:,:,jk) * va(:,:,jk) * vmask(:,:,jk) |
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| 165 | zhura(:,:) = zhura(:,:) + fse3u_a(:,:,jk) * umask(:,:,jk) |
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| 166 | zhvra(:,:) = zhvra(:,:) + fse3v_a(:,:,jk) * vmask(:,:,jk) |
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[4292] | 167 | END DO |
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[4312] | 168 | zhura(:,:) = umask(:,:,1) / ( zhura(:,:) + 1._wp - umask(:,:,1) ) |
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| 169 | zhvra(:,:) = vmask(:,:,1) / ( zhvra(:,:) + 1._wp - vmask(:,:,1) ) |
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[4292] | 170 | DO jk = 1, jpkm1 |
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[4312] | 171 | ua(:,:,jk) = ( ua(:,:,jk) - zua(:,:) * zhura(:,:) + ua_b(:,:) ) * umask(:,:,jk) |
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| 172 | va(:,:,jk) = ( va(:,:,jk) - zva(:,:) * zhvra(:,:) + va_b(:,:) ) * vmask(:,:,jk) |
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[4292] | 173 | END DO |
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| 174 | ELSE |
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| 175 | DO jk = 1, jpkm1 |
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| 176 | zua(:,:) = zua(:,:) + fse3u(:,:,jk) * ua(:,:,jk) * umask(:,:,jk) |
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| 177 | zva(:,:) = zva(:,:) + fse3v(:,:,jk) * va(:,:,jk) * vmask(:,:,jk) |
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| 178 | END DO |
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| 179 | DO jk = 1, jpkm1 |
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| 180 | ua(:,:,jk) = ( ua(:,:,jk) - zua(:,:) * hur(:,:) + ua_b(:,:) ) *umask(:,:,jk) |
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| 181 | va(:,:,jk) = ( va(:,:,jk) - zva(:,:) * hvr(:,:) + va_b(:,:) ) *vmask(:,:,jk) |
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| 182 | END DO |
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| 183 | ENDIF |
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[1502] | 184 | |
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[4292] | 185 | IF (lk_dynspg_ts.AND.(.NOT.ln_bt_fw)) THEN |
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| 186 | ! Remove advective velocity from "now velocities" |
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| 187 | ! prior to asselin filtering |
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[4312] | 188 | ! In the forward case, this is done below after asselin filtering |
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| 189 | ! so that asselin contribution is removed at the same time |
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[4292] | 190 | DO jk = 1, jpkm1 |
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| 191 | un(:,:,jk) = ( un(:,:,jk) - un_adv(:,:) + un_b(:,:) )*umask(:,:,jk) |
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| 192 | vn(:,:,jk) = ( vn(:,:,jk) - vn_adv(:,:) + vn_b(:,:) )*vmask(:,:,jk) |
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| 193 | END DO |
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| 194 | ENDIF |
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| 195 | # endif |
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| 196 | |
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[1502] | 197 | ! Update after velocity on domain lateral boundaries |
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| 198 | ! -------------------------------------------------- |
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| 199 | CALL lbc_lnk( ua, 'U', -1. ) !* local domain boundaries |
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| 200 | CALL lbc_lnk( va, 'V', -1. ) |
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| 201 | ! |
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[4328] | 202 | # if defined key_bdy |
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[1502] | 203 | ! !* BDY open boundaries |
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[3764] | 204 | IF( lk_bdy .AND. lk_dynspg_exp ) CALL bdy_dyn( kt ) |
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| 205 | IF( lk_bdy .AND. lk_dynspg_ts ) CALL bdy_dyn( kt, dyn3d_only=.true. ) |
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[3294] | 206 | |
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| 207 | !!$ Do we need a call to bdy_vol here?? |
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| 208 | ! |
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[1438] | 209 | # endif |
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[1502] | 210 | ! |
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[392] | 211 | # if defined key_agrif |
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[1502] | 212 | CALL Agrif_dyn( kt ) !* AGRIF zoom boundaries |
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[389] | 213 | # endif |
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[3] | 214 | #endif |
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[592] | 215 | |
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[1438] | 216 | ! Time filter and swap of dynamics arrays |
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| 217 | ! ------------------------------------------ |
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[1502] | 218 | IF( neuler == 0 .AND. kt == nit000 ) THEN !* Euler at first time-step: only swap |
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| 219 | DO jk = 1, jpkm1 |
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| 220 | un(:,:,jk) = ua(:,:,jk) ! un <-- ua |
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[1438] | 221 | vn(:,:,jk) = va(:,:,jk) |
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| 222 | END DO |
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[4292] | 223 | IF (lk_vvl) THEN |
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| 224 | DO jk = 1, jpkm1 |
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| 225 | fse3t_b(:,:,jk) = fse3t_n(:,:,jk) |
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| 226 | fse3u_b(:,:,jk) = fse3u_n(:,:,jk) |
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| 227 | fse3v_b(:,:,jk) = fse3v_n(:,:,jk) |
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| 228 | ENDDO |
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| 229 | ENDIF |
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[1502] | 230 | ELSE !* Leap-Frog : Asselin filter and swap |
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[2528] | 231 | ! ! =============! |
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| 232 | IF( .NOT. lk_vvl ) THEN ! Fixed volume ! |
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| 233 | ! ! =============! |
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[1502] | 234 | DO jk = 1, jpkm1 |
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[592] | 235 | DO jj = 1, jpj |
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[1502] | 236 | DO ji = 1, jpi |
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[4292] | 237 | zuf = un(ji,jj,jk) + atfp * ( ub(ji,jj,jk) - 2.e0_wp * un(ji,jj,jk) + ua(ji,jj,jk) ) |
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| 238 | zvf = vn(ji,jj,jk) + atfp * ( vb(ji,jj,jk) - 2.e0_wp * vn(ji,jj,jk) + va(ji,jj,jk) ) |
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[1502] | 239 | ! |
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| 240 | ub(ji,jj,jk) = zuf ! ub <-- filtered velocity |
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| 241 | vb(ji,jj,jk) = zvf |
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| 242 | un(ji,jj,jk) = ua(ji,jj,jk) ! un <-- ua |
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| 243 | vn(ji,jj,jk) = va(ji,jj,jk) |
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| 244 | END DO |
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| 245 | END DO |
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| 246 | END DO |
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[2528] | 247 | ! ! ================! |
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| 248 | ELSE ! Variable volume ! |
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| 249 | ! ! ================! |
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[4292] | 250 | ! Before scale factor at t-points |
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| 251 | ! (used as a now filtered scale factor until the swap) |
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| 252 | ! ---------------------------------------------------- |
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| 253 | IF (lk_dynspg_ts.AND.ln_bt_fw) THEN |
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| 254 | ! Remove asselin filtering on thicknesses if forward time splitting |
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| 255 | fse3t_b(:,:,:) = fse3t_n(:,:,:) |
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| 256 | ELSE |
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| 257 | fse3t_b(:,:,:) = fse3t_n(:,:,:) + atfp * ( fse3t_b(:,:,:) - 2._wp * fse3t_n(:,:,:) + fse3t_a(:,:,:) ) |
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| 258 | ! Add volume filter correction: compatibility with tracer advection scheme |
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| 259 | ! => time filter + conservation correction (only at the first level) |
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| 260 | fse3t_b(:,:,1) = fse3t_b(:,:,1) - atfp * rdt * r1_rau0 * ( emp_b(:,:) - emp(:,:) ) * tmask(:,:,1) |
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[3294] | 261 | ! |
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[4292] | 262 | ENDIF |
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[2528] | 263 | ! |
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[4292] | 264 | IF( ln_dynadv_vec ) THEN |
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| 265 | ! Before scale factor at (u/v)-points |
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| 266 | ! ----------------------------------- |
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| 267 | CALL dom_vvl_interpol( fse3t_b(:,:,:), fse3u_b(:,:,:), 'U' ) |
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| 268 | CALL dom_vvl_interpol( fse3t_b(:,:,:), fse3v_b(:,:,:), 'V' ) |
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| 269 | ! Leap-Frog - Asselin filter and swap: applied on velocity |
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| 270 | ! ----------------------------------- |
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| 271 | DO jk = 1, jpkm1 |
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| 272 | DO jj = 1, jpj |
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[2528] | 273 | DO ji = 1, jpi |
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[4292] | 274 | zuf = un(ji,jj,jk) + atfp * ( ub(ji,jj,jk) - 2._wp * un(ji,jj,jk) + ua(ji,jj,jk) ) |
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| 275 | zvf = vn(ji,jj,jk) + atfp * ( vb(ji,jj,jk) - 2._wp * vn(ji,jj,jk) + va(ji,jj,jk) ) |
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[2528] | 276 | ! |
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| 277 | ub(ji,jj,jk) = zuf ! ub <-- filtered velocity |
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| 278 | vb(ji,jj,jk) = zvf |
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| 279 | un(ji,jj,jk) = ua(ji,jj,jk) ! un <-- ua |
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| 280 | vn(ji,jj,jk) = va(ji,jj,jk) |
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| 281 | END DO |
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| 282 | END DO |
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| 283 | END DO |
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| 284 | ! |
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[4292] | 285 | ELSE |
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| 286 | ! Temporary filtered scale factor at (u/v)-points (will become before scale factor) |
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| 287 | !------------------------------------------------ |
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| 288 | CALL dom_vvl_interpol( fse3t_b(:,:,:), ze3u_f, 'U' ) |
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| 289 | CALL dom_vvl_interpol( fse3t_b(:,:,:), ze3v_f, 'V' ) |
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| 290 | ! Leap-Frog - Asselin filter and swap: applied on thickness weighted velocity |
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| 291 | ! ----------------------------------- =========================== |
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| 292 | DO jk = 1, jpkm1 |
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| 293 | DO jj = 1, jpj |
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[4312] | 294 | DO ji = 1, jpi |
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[2528] | 295 | zue3a = ua(ji,jj,jk) * fse3u_a(ji,jj,jk) |
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| 296 | zve3a = va(ji,jj,jk) * fse3v_a(ji,jj,jk) |
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| 297 | zue3n = un(ji,jj,jk) * fse3u_n(ji,jj,jk) |
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| 298 | zve3n = vn(ji,jj,jk) * fse3v_n(ji,jj,jk) |
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| 299 | zue3b = ub(ji,jj,jk) * fse3u_b(ji,jj,jk) |
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| 300 | zve3b = vb(ji,jj,jk) * fse3v_b(ji,jj,jk) |
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| 301 | ! |
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[3294] | 302 | zuf = ( zue3n + atfp * ( zue3b - 2._wp * zue3n + zue3a ) ) / ze3u_f(ji,jj,jk) |
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| 303 | zvf = ( zve3n + atfp * ( zve3b - 2._wp * zve3n + zve3a ) ) / ze3v_f(ji,jj,jk) |
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[2528] | 304 | ! |
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[3294] | 305 | ub(ji,jj,jk) = zuf ! ub <-- filtered velocity |
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[2528] | 306 | vb(ji,jj,jk) = zvf |
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[3294] | 307 | un(ji,jj,jk) = ua(ji,jj,jk) ! un <-- ua |
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[2528] | 308 | vn(ji,jj,jk) = va(ji,jj,jk) |
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| 309 | END DO |
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| 310 | END DO |
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| 311 | END DO |
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[3294] | 312 | fse3u_b(:,:,1:jpkm1) = ze3u_f(:,:,1:jpkm1) ! e3u_b <-- filtered scale factor |
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| 313 | fse3v_b(:,:,1:jpkm1) = ze3v_f(:,:,1:jpkm1) |
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[2528] | 314 | ENDIF |
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| 315 | ! |
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[3] | 316 | ENDIF |
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[2528] | 317 | ! |
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[4292] | 318 | IF (lk_dynspg_ts.AND.ln_bt_fw) THEN |
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[4312] | 319 | ! Revert "before" velocities to time split estimate |
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| 320 | ! Doing it here also means that asselin filter contribution is removed |
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[4292] | 321 | zua(:,:) = 0._wp |
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| 322 | zva(:,:) = 0._wp |
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| 323 | IF (lk_vvl) THEN |
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| 324 | DO jk = 1, jpkm1 |
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| 325 | zua(:,:) = zua(:,:) + fse3u_b(:,:,jk) * ub(:,:,jk) * umask(:,:,jk) |
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| 326 | zva(:,:) = zva(:,:) + fse3v_b(:,:,jk) * vb(:,:,jk) * vmask(:,:,jk) |
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| 327 | END DO |
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| 328 | ELSE |
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| 329 | DO jk = 1, jpkm1 |
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| 330 | zua(:,:) = zua(:,:) + fse3u(:,:,jk) * ub(:,:,jk) * umask(:,:,jk) |
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| 331 | zva(:,:) = zva(:,:) + fse3v(:,:,jk) * vb(:,:,jk) * vmask(:,:,jk) |
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| 332 | END DO |
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| 333 | ENDIF |
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| 334 | DO jk = 1, jpkm1 |
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| 335 | ub(:,:,jk) = ub(:,:,jk) - (zua(:,:) * hur(:,:) - un_b(:,:)) * umask(:,:,jk) |
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| 336 | vb(:,:,jk) = vb(:,:,jk) - (zva(:,:) * hvr(:,:) - vn_b(:,:)) * vmask(:,:,jk) |
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| 337 | END DO |
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| 338 | ENDIF |
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| 339 | ! |
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| 340 | ENDIF ! neuler =/0 |
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[3] | 341 | |
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[1438] | 342 | IF(ln_ctl) CALL prt_ctl( tab3d_1=un, clinfo1=' nxt - Un: ', mask1=umask, & |
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| 343 | & tab3d_2=vn, clinfo2=' Vn: ' , mask2=vmask ) |
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| 344 | ! |
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[3294] | 345 | CALL wrk_dealloc( jpi,jpj,jpk, ze3u_f, ze3v_f ) |
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[4312] | 346 | IF ( lk_dynspg_ts ) CALL wrk_dealloc( jpi,jpj, zua, zva, zhura, zhvra ) |
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[2715] | 347 | ! |
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[3294] | 348 | IF( nn_timing == 1 ) CALL timing_stop('dyn_nxt') |
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| 349 | ! |
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[3] | 350 | END SUBROUTINE dyn_nxt |
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| 351 | |
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[1502] | 352 | !!========================================================================= |
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[3] | 353 | END MODULE dynnxt |
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