| 1 | MODULE dynspg_flt |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE dynspg_flt *** |
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| 4 | !! Ocean dynamics: surface pressure gradient trend |
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| 5 | !!====================================================================== |
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| 6 | !! History OPA ! 1998-05 (G. Roullet) free surface |
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| 7 | !! ! 1998-10 (G. Madec, M. Imbard) release 8.2 |
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| 8 | !! NEMO O.1 ! 2002-08 (G. Madec) F90: Free form and module |
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| 9 | !! - ! 2002-11 (C. Talandier, A-M Treguier) Open boundaries |
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| 10 | !! 1.0 ! 2004-08 (C. Talandier) New trends organization |
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| 11 | !! - ! 2005-11 (V. Garnier) Surface pressure gradient organization |
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| 12 | !! 2.0 ! 2006-07 (S. Masson) distributed restart using iom |
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| 13 | !! - ! 2006-08 (J.Chanut, A.Sellar) Calls to BDY routines. |
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| 14 | !! 3.2 ! 2009-03 (G. Madec, M. Leclair, R. Benshila) introduce sshwzv module |
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| 15 | !!---------------------------------------------------------------------- |
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| 16 | #if defined key_dynspg_flt || defined key_esopa |
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| 17 | !!---------------------------------------------------------------------- |
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| 18 | !! 'key_dynspg_flt' filtered free surface |
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| 19 | !!---------------------------------------------------------------------- |
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| 20 | !! dyn_spg_flt : update the momentum trend with the surface pressure gradient in the filtered free surface case |
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| 21 | !! flt_rst : read/write the time-splitting restart fields in the ocean restart file |
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| 22 | !!---------------------------------------------------------------------- |
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| 23 | USE oce ! ocean dynamics and tracers |
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| 24 | USE dom_oce ! ocean space and time domain |
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| 25 | USE zdf_oce ! ocean vertical physics |
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| 26 | USE sbc_oce ! surface boundary condition: ocean |
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| 27 | USE bdy_oce ! Lateral open boundary condition |
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| 28 | USE sol_oce ! ocean elliptic solver |
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| 29 | USE phycst ! physical constants |
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| 30 | USE domvvl ! variable volume |
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| 31 | USE dynadv ! advection |
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| 32 | USE solmat ! matrix construction for elliptic solvers |
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| 33 | USE solpcg ! preconditionned conjugate gradient solver |
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| 34 | USE solsor ! Successive Over-relaxation solver |
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| 35 | USE bdydyn ! ocean open boundary condition on dynamics |
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| 36 | USE bdyvol ! ocean open boundary condition (bdy_vol routine) |
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| 37 | USE cla ! cross land advection |
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| 38 | USE in_out_manager ! I/O manager |
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| 39 | USE lib_mpp ! distributed memory computing library |
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| 40 | USE wrk_nemo ! Memory Allocation |
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| 41 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 42 | USE prtctl ! Print control |
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| 43 | USE iom |
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| 44 | USE lib_fortran |
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| 45 | #if defined key_agrif |
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| 46 | USE agrif_opa_interp |
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| 47 | #endif |
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| 48 | USE timing ! Timing |
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| 49 | |
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| 50 | IMPLICIT NONE |
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| 51 | PRIVATE |
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| 52 | |
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| 53 | PUBLIC dyn_spg_flt ! routine called by step.F90 |
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| 54 | PUBLIC flt_rst ! routine called by istate.F90 |
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| 55 | |
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| 56 | !! * Substitutions |
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| 57 | # include "domzgr_substitute.h90" |
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| 58 | # include "vectopt_loop_substitute.h90" |
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| 59 | !!---------------------------------------------------------------------- |
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| 60 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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| 61 | !! $Id$ |
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| 62 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 63 | !!---------------------------------------------------------------------- |
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| 64 | CONTAINS |
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| 65 | |
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| 66 | SUBROUTINE dyn_spg_flt( kt, kindic ) |
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| 67 | !!---------------------------------------------------------------------- |
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| 68 | !! *** routine dyn_spg_flt *** |
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| 69 | !! |
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| 70 | !! ** Purpose : Compute the now trend due to the surface pressure |
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| 71 | !! gradient in case of filtered free surface formulation and add |
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| 72 | !! it to the general trend of momentum equation. |
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| 73 | !! |
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| 74 | !! ** Method : Filtered free surface formulation. The surface |
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| 75 | !! pressure gradient is given by: |
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| 76 | !! spgu = 1/rau0 d/dx(ps) = 1/e1u di( sshn + btda ) |
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| 77 | !! spgv = 1/rau0 d/dy(ps) = 1/e2v dj( sshn + btda ) |
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| 78 | !! where sshn is the free surface elevation and btda is the after |
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| 79 | !! time derivative of the free surface elevation |
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| 80 | !! -1- evaluate the surface presure trend (including the addi- |
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| 81 | !! tional force) in three steps: |
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| 82 | !! a- compute the right hand side of the elliptic equation: |
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| 83 | !! gcb = 1/(e1t e2t) [ di(e2u spgu) + dj(e1v spgv) ] |
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| 84 | !! where (spgu,spgv) are given by: |
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| 85 | !! spgu = vertical sum[ e3u (ub+ 2 rdt ua ) ] |
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| 86 | !! - grav 2 rdt hu /e1u di[sshn + (emp-rnf)] |
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| 87 | !! spgv = vertical sum[ e3v (vb+ 2 rdt va) ] |
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| 88 | !! - grav 2 rdt hv /e2v dj[sshn + (emp-rnf)] |
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| 89 | !! and define the first guess from previous computation : |
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| 90 | !! zbtd = btda |
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| 91 | !! btda = 2 zbtd - btdb |
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| 92 | !! btdb = zbtd |
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| 93 | !! b- compute the relative accuracy to be reached by the |
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| 94 | !! iterative solver |
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| 95 | !! c- apply the solver by a call to sol... routine |
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| 96 | !! -2- compute and add the free surface pressure gradient inclu- |
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| 97 | !! ding the additional force used to stabilize the equation. |
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| 98 | !! |
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| 99 | !! ** Action : - Update (ua,va) with the surf. pressure gradient trend |
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| 100 | !! |
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| 101 | !! References : Roullet and Madec 1999, JGR. |
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| 102 | !!--------------------------------------------------------------------- |
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| 103 | INTEGER, INTENT(in ) :: kt ! ocean time-step index |
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| 104 | INTEGER, INTENT( out) :: kindic ! solver convergence flag (<0 if not converge) |
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| 105 | !! |
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| 106 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 107 | REAL(wp) :: z2dt, z2dtg, zgcb, zbtd, ztdgu, ztdgv ! local scalars |
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| 108 | !!---------------------------------------------------------------------- |
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| 109 | ! |
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| 110 | IF( nn_timing == 1 ) CALL timing_start('dyn_spg_flt') |
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| 111 | ! |
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| 112 | ! |
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| 113 | IF( kt == nit000 ) THEN |
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| 114 | IF(lwp) WRITE(numout,*) |
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| 115 | IF(lwp) WRITE(numout,*) 'dyn_spg_flt : surface pressure gradient trend' |
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| 116 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ (free surface constant volume case)' |
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| 117 | |
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| 118 | ! set to zero free surface specific arrays |
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| 119 | spgu(:,:) = 0._wp ! surface pressure gradient (i-direction) |
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| 120 | spgv(:,:) = 0._wp ! surface pressure gradient (j-direction) |
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| 121 | |
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| 122 | ! read filtered free surface arrays in restart file |
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| 123 | ! when using agrif, sshn, gcx have to be read in istate |
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| 124 | IF(.NOT. lk_agrif) CALL flt_rst( nit000, 'READ' ) ! read or initialize the following fields: |
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| 125 | ! ! gcx, gcxb |
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| 126 | ENDIF |
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| 127 | |
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| 128 | ! Local constant initialization |
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| 129 | z2dt = 2. * rdt ! time step: leap-frog |
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| 130 | IF( neuler == 0 .AND. kt == nit000 ) z2dt = rdt ! time step: Euler if restart from rest |
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| 131 | IF( neuler == 0 .AND. kt == nit000+1 ) CALL sol_mat( kt ) |
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| 132 | z2dtg = grav * z2dt |
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| 133 | |
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| 134 | ! Evaluate the masked next velocity (effect of the additional force not included) |
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| 135 | ! --------------------------------- |
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| 136 | IF( lk_vvl ) THEN ! variable volume (surface pressure gradient already included in dyn_hpg) |
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| 137 | ! |
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| 138 | IF( ln_dynadv_vec ) THEN ! vector form : applied on velocity |
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| 139 | DO jk = 1, jpkm1 |
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| 140 | DO jj = 2, jpjm1 |
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| 141 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 142 | ua(ji,jj,jk) = ( ub(ji,jj,jk) + z2dt * ua(ji,jj,jk) ) * umask(ji,jj,jk) |
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| 143 | va(ji,jj,jk) = ( vb(ji,jj,jk) + z2dt * va(ji,jj,jk) ) * vmask(ji,jj,jk) |
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| 144 | END DO |
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| 145 | END DO |
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| 146 | END DO |
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| 147 | ! |
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| 148 | ELSE ! flux form : applied on thickness weighted velocity |
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| 149 | DO jk = 1, jpkm1 |
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| 150 | DO jj = 2, jpjm1 |
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| 151 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 152 | ua(ji,jj,jk) = ( ub(ji,jj,jk) * fse3u_b(ji,jj,jk) & |
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| 153 | & + z2dt * ua(ji,jj,jk) * fse3u_n(ji,jj,jk) ) & |
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| 154 | & / fse3u_a(ji,jj,jk) * umask(ji,jj,jk) |
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| 155 | va(ji,jj,jk) = ( vb(ji,jj,jk) * fse3v_b(ji,jj,jk) & |
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| 156 | & + z2dt * va(ji,jj,jk) * fse3v_n(ji,jj,jk) ) & |
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| 157 | & / fse3v_a(ji,jj,jk) * vmask(ji,jj,jk) |
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| 158 | END DO |
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| 159 | END DO |
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| 160 | END DO |
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| 161 | ! |
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| 162 | ENDIF |
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| 163 | ! |
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| 164 | ELSE ! fixed volume (add the surface pressure gradient + unweighted time stepping) |
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| 165 | ! |
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| 166 | DO jj = 2, jpjm1 ! Surface pressure gradient (now) |
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| 167 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 168 | spgu(ji,jj) = - grav * ( sshn(ji+1,jj) - sshn(ji,jj) ) / e1u(ji,jj) |
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| 169 | spgv(ji,jj) = - grav * ( sshn(ji,jj+1) - sshn(ji,jj) ) / e2v(ji,jj) |
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| 170 | END DO |
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| 171 | END DO |
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| 172 | DO jk = 1, jpkm1 ! unweighted time stepping |
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| 173 | DO jj = 2, jpjm1 |
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| 174 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 175 | ua(ji,jj,jk) = ( ub(ji,jj,jk) + z2dt * ( ua(ji,jj,jk) + spgu(ji,jj) ) ) * umask(ji,jj,jk) |
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| 176 | va(ji,jj,jk) = ( vb(ji,jj,jk) + z2dt * ( va(ji,jj,jk) + spgv(ji,jj) ) ) * vmask(ji,jj,jk) |
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| 177 | END DO |
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| 178 | END DO |
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| 179 | END DO |
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| 180 | ! |
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| 181 | ENDIF |
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| 182 | |
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| 183 | #if defined key_bdy |
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| 184 | IF( lk_bdy ) CALL bdy_dyn( kt ) ! Update velocities on each open boundary |
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| 185 | IF( lk_bdy ) CALL bdy_vol( kt ) ! Correction of the barotropic component velocity to control the volume of the system |
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| 186 | #endif |
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| 187 | #if defined key_agrif |
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| 188 | CALL Agrif_dyn( kt ) ! Update velocities on each coarse/fine interfaces |
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| 189 | #endif |
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| 190 | IF( nn_cla == 1 .AND. cp_cfg == 'orca' .AND. jp_cfg == 2 ) CALL cla_dynspg( kt ) ! Cross Land Advection (update (ua,va)) |
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| 191 | |
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| 192 | ! compute the next vertically averaged velocity (effect of the additional force not included) |
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| 193 | ! --------------------------------------------- |
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| 194 | DO jj = 2, jpjm1 |
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| 195 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 196 | spgu(ji,jj) = 0._wp |
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| 197 | spgv(ji,jj) = 0._wp |
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| 198 | END DO |
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| 199 | END DO |
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| 200 | |
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| 201 | ! vertical sum |
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| 202 | !CDIR NOLOOPCHG |
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| 203 | IF( lk_vopt_loop ) THEN ! vector opt., forced unroll |
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| 204 | DO jk = 1, jpkm1 |
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| 205 | DO ji = 1, jpij |
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| 206 | spgu(ji,1) = spgu(ji,1) + fse3u_a(ji,1,jk) * ua(ji,1,jk) |
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| 207 | spgv(ji,1) = spgv(ji,1) + fse3v_a(ji,1,jk) * va(ji,1,jk) |
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| 208 | END DO |
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| 209 | END DO |
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| 210 | ELSE ! No vector opt. |
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| 211 | DO jk = 1, jpkm1 |
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| 212 | DO jj = 2, jpjm1 |
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| 213 | DO ji = 2, jpim1 |
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| 214 | spgu(ji,jj) = spgu(ji,jj) + fse3u_a(ji,jj,jk) * ua(ji,jj,jk) |
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| 215 | spgv(ji,jj) = spgv(ji,jj) + fse3v_a(ji,jj,jk) * va(ji,jj,jk) |
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| 216 | END DO |
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| 217 | END DO |
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| 218 | END DO |
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| 219 | ENDIF |
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| 220 | |
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| 221 | ! transport: multiplied by the horizontal scale factor |
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| 222 | DO jj = 2, jpjm1 |
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| 223 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 224 | spgu(ji,jj) = spgu(ji,jj) * e2u(ji,jj) |
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| 225 | spgv(ji,jj) = spgv(ji,jj) * e1v(ji,jj) |
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| 226 | END DO |
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| 227 | END DO |
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| 228 | CALL lbc_lnk( spgu, 'U', -1. ) ! lateral boundary conditions |
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| 229 | CALL lbc_lnk( spgv, 'V', -1. ) |
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| 230 | |
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| 231 | IF( lk_vvl ) CALL sol_mat( kt ) ! build the matrix at kt (vvl case only) |
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| 232 | |
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| 233 | ! Right hand side of the elliptic equation and first guess |
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| 234 | ! -------------------------------------------------------- |
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| 235 | DO jj = 2, jpjm1 |
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| 236 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 237 | ! Divergence of the after vertically averaged velocity |
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| 238 | zgcb = spgu(ji,jj) - spgu(ji-1,jj) & |
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| 239 | + spgv(ji,jj) - spgv(ji,jj-1) |
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| 240 | gcb(ji,jj) = gcdprc(ji,jj) * zgcb |
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| 241 | ! First guess of the after barotropic transport divergence |
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| 242 | zbtd = gcx(ji,jj) |
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| 243 | gcx (ji,jj) = 2. * zbtd - gcxb(ji,jj) |
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| 244 | gcxb(ji,jj) = zbtd |
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| 245 | END DO |
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| 246 | END DO |
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| 247 | ! applied the lateral boundary conditions |
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| 248 | IF( nn_solv == 2 .AND. MAX( jpr2di, jpr2dj ) > 0 ) CALL lbc_lnk_e( gcb, c_solver_pt, 1., jpr2di, jpr2dj ) |
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| 249 | |
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| 250 | #if defined key_agrif |
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| 251 | IF( .NOT. AGRIF_ROOT() ) THEN |
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| 252 | ! add contribution of gradient of after barotropic transport divergence |
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| 253 | IF( nbondi == -1 .OR. nbondi == 2 ) gcb(3 ,:) = & |
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| 254 | & gcb(3 ,:) - z2dtg * z2dt * laplacu(2 ,:) * gcdprc(3 ,:) * hu(2 ,:) * e2u(2 ,:) |
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| 255 | IF( nbondi == 1 .OR. nbondi == 2 ) gcb(nlci-2,:) = & |
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| 256 | & gcb(nlci-2,:) + z2dtg * z2dt * laplacu(nlci-2,:) * gcdprc(nlci-2,:) * hu(nlci-2,:) * e2u(nlci-2,:) |
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| 257 | IF( nbondj == -1 .OR. nbondj == 2 ) gcb(: ,3) = & |
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| 258 | & gcb(:,3 ) - z2dtg * z2dt * laplacv(:,2 ) * gcdprc(:,3 ) * hv(:,2 ) * e1v(:,2 ) |
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| 259 | IF( nbondj == 1 .OR. nbondj == 2 ) gcb(:,nlcj-2) = & |
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| 260 | & gcb(:,nlcj-2) + z2dtg * z2dt * laplacv(:,nlcj-2) * gcdprc(:,nlcj-2) * hv(:,nlcj-2) * e1v(:,nlcj-2) |
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| 261 | ENDIF |
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| 262 | #endif |
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| 263 | |
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| 264 | |
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| 265 | ! Relative precision (computation on one processor) |
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| 266 | ! ------------------ |
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| 267 | rnorme =0.e0 |
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| 268 | rnorme = GLOB_SUM( gcb(1:jpi,1:jpj) * gcdmat(1:jpi,1:jpj) * gcb(1:jpi,1:jpj) * bmask(:,:) ) |
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| 269 | |
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| 270 | epsr = eps * eps * rnorme |
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| 271 | ncut = 0 |
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| 272 | ! if rnorme is 0, the solution is 0, the solver is not called |
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| 273 | IF( rnorme == 0._wp ) THEN |
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| 274 | gcx(:,:) = 0._wp |
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| 275 | res = 0._wp |
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| 276 | niter = 0 |
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| 277 | ncut = 999 |
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| 278 | ENDIF |
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| 279 | |
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| 280 | ! Evaluate the next transport divergence |
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| 281 | ! -------------------------------------- |
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| 282 | ! Iterarive solver for the elliptic equation (except IF sol.=0) |
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| 283 | ! (output in gcx with boundary conditions applied) |
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| 284 | kindic = 0 |
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| 285 | IF( ncut == 0 ) THEN |
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| 286 | IF ( nn_solv == 1 ) THEN ; CALL sol_pcg( kindic ) ! diagonal preconditioned conjuguate gradient |
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| 287 | ELSEIF( nn_solv == 2 ) THEN ; CALL sol_sor( kindic ) ! successive-over-relaxation |
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| 288 | ENDIF |
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| 289 | ENDIF |
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| 290 | |
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| 291 | ! Transport divergence gradient multiplied by z2dt |
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| 292 | ! --------------------------------------------==== |
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| 293 | DO jj = 2, jpjm1 |
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| 294 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 295 | ! trend of Transport divergence gradient |
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| 296 | ztdgu = z2dtg * (gcx(ji+1,jj ) - gcx(ji,jj) ) / e1u(ji,jj) |
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| 297 | ztdgv = z2dtg * (gcx(ji ,jj+1) - gcx(ji,jj) ) / e2v(ji,jj) |
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| 298 | ! multiplied by z2dt |
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| 299 | #if defined key_bdy |
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| 300 | IF(lk_bdy) THEN |
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| 301 | ! caution : grad D = 0 along open boundaries |
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| 302 | spgu(ji,jj) = z2dt * ztdgu * bdyumask(ji,jj) |
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| 303 | spgv(ji,jj) = z2dt * ztdgv * bdyvmask(ji,jj) |
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| 304 | ELSE |
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| 305 | spgu(ji,jj) = z2dt * ztdgu |
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| 306 | spgv(ji,jj) = z2dt * ztdgv |
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| 307 | ENDIF |
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| 308 | #else |
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| 309 | spgu(ji,jj) = z2dt * ztdgu |
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| 310 | spgv(ji,jj) = z2dt * ztdgv |
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| 311 | #endif |
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| 312 | END DO |
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| 313 | END DO |
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| 314 | |
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| 315 | #if defined key_agrif |
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| 316 | IF( .NOT. Agrif_Root() ) THEN |
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| 317 | ! caution : grad D (fine) = grad D (coarse) at coarse/fine interface |
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| 318 | IF( nbondi == -1 .OR. nbondi == 2 ) spgu(2 ,:) = z2dtg * z2dt * laplacu(2 ,:) * umask(2 ,:,1) |
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| 319 | IF( nbondi == 1 .OR. nbondi == 2 ) spgu(nlci-2,:) = z2dtg * z2dt * laplacu(nlci-2,:) * umask(nlci-2,:,1) |
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| 320 | IF( nbondj == -1 .OR. nbondj == 2 ) spgv(:,2 ) = z2dtg * z2dt * laplacv(:,2 ) * vmask(: ,2,1) |
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| 321 | IF( nbondj == 1 .OR. nbondj == 2 ) spgv(:,nlcj-2) = z2dtg * z2dt * laplacv(:,nlcj-2) * vmask(:,nlcj-2,1) |
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| 322 | ENDIF |
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| 323 | #endif |
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| 324 | ! Add the trends multiplied by z2dt to the after velocity |
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| 325 | ! ------------------------------------------------------- |
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| 326 | ! ( c a u t i o n : (ua,va) here are the after velocity not the |
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| 327 | ! trend, the leap-frog time stepping will not |
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| 328 | ! be done in dynnxt.F90 routine) |
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| 329 | DO jk = 1, jpkm1 |
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| 330 | DO jj = 2, jpjm1 |
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| 331 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 332 | ua(ji,jj,jk) = ( ua(ji,jj,jk) + spgu(ji,jj) ) * umask(ji,jj,jk) |
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| 333 | va(ji,jj,jk) = ( va(ji,jj,jk) + spgv(ji,jj) ) * vmask(ji,jj,jk) |
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| 334 | END DO |
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| 335 | END DO |
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| 336 | END DO |
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| 337 | |
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| 338 | ! write filtered free surface arrays in restart file |
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| 339 | ! -------------------------------------------------- |
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| 340 | IF( lrst_oce ) CALL flt_rst( kt, 'WRITE' ) |
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| 341 | ! |
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| 342 | ! |
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| 343 | IF( nn_timing == 1 ) CALL timing_stop('dyn_spg_flt') |
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| 344 | ! |
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| 345 | END SUBROUTINE dyn_spg_flt |
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| 346 | |
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| 347 | |
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| 348 | SUBROUTINE flt_rst( kt, cdrw ) |
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| 349 | !!--------------------------------------------------------------------- |
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| 350 | !! *** ROUTINE ts_rst *** |
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| 351 | !! |
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| 352 | !! ** Purpose : Read or write filtered free surface arrays in restart file |
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| 353 | !!---------------------------------------------------------------------- |
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| 354 | INTEGER , INTENT(in) :: kt ! ocean time-step |
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| 355 | CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag |
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| 356 | !!---------------------------------------------------------------------- |
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| 357 | ! |
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| 358 | IF( TRIM(cdrw) == 'READ' ) THEN |
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| 359 | IF( iom_varid( numror, 'gcx', ldstop = .FALSE. ) > 0 ) THEN |
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| 360 | ! Caution : extra-hallow |
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| 361 | ! gcx and gcxb are defined as: DIMENSION(1-jpr2di:jpi+jpr2di,1-jpr2dj:jpj+jpr2dj) |
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| 362 | CALL iom_get( numror, jpdom_autoglo, 'gcx' , gcx (1:jpi,1:jpj) ) |
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| 363 | CALL iom_get( numror, jpdom_autoglo, 'gcxb', gcxb(1:jpi,1:jpj) ) |
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| 364 | IF( neuler == 0 ) gcxb(:,:) = gcx (:,:) |
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| 365 | ELSE |
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| 366 | gcx (:,:) = 0.e0 |
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| 367 | gcxb(:,:) = 0.e0 |
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| 368 | ENDIF |
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| 369 | ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN |
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| 370 | ! Caution : extra-hallow |
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| 371 | ! gcx and gcxb are defined as: DIMENSION(1-jpr2di:jpi+jpr2di,1-jpr2dj:jpj+jpr2dj) |
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| 372 | CALL iom_rstput( kt, nitrst, numrow, 'gcx' , gcx (1:jpi,1:jpj) ) |
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| 373 | CALL iom_rstput( kt, nitrst, numrow, 'gcxb', gcxb(1:jpi,1:jpj) ) |
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| 374 | ENDIF |
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| 375 | ! |
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| 376 | END SUBROUTINE flt_rst |
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| 377 | |
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| 378 | #else |
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| 379 | !!---------------------------------------------------------------------- |
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| 380 | !! Default case : Empty module No standart free surface cst volume |
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| 381 | !!---------------------------------------------------------------------- |
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| 382 | CONTAINS |
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| 383 | SUBROUTINE dyn_spg_flt( kt, kindic ) ! Empty routine |
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| 384 | WRITE(*,*) 'dyn_spg_flt: You should not have seen this print! error?', kt, kindic |
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| 385 | END SUBROUTINE dyn_spg_flt |
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| 386 | SUBROUTINE flt_rst ( kt, cdrw ) ! Empty routine |
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| 387 | INTEGER , INTENT(in) :: kt ! ocean time-step |
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| 388 | CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag |
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| 389 | WRITE(*,*) 'flt_rst: You should not have seen this print! error?', kt, cdrw |
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| 390 | END SUBROUTINE flt_rst |
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| 391 | #endif |
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| 392 | |
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| 393 | !!====================================================================== |
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| 394 | END MODULE dynspg_flt |
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