| 1 | MODULE dynspg_flt_jki |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE dynspg_flt_jki *** |
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| 4 | !! Ocean dynamics: surface pressure gradient trend |
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| 5 | !!====================================================================== |
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| 6 | #if defined key_dynspg_flt || defined key_esopa |
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| 7 | !!---------------------------------------------------------------------- |
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| 8 | !! 'key_dynspg_flt' filtered free surface |
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| 9 | !!---------------------------------------------------------------------- |
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| 10 | !!---------------------------------------------------------------------- |
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| 11 | !! dyn_spg_flt_jki : Update the momentum trend with the surface pressure |
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| 12 | !! gradient for the free surf. constant volume case |
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| 13 | !! with auto-tasking (j-slab) (no vectior opt.) |
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| 14 | !!---------------------------------------------------------------------- |
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| 15 | USE oce ! ocean dynamics and tracers |
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| 16 | USE dom_oce ! ocean space and time domain |
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| 17 | USE zdf_oce ! ocean vertical physics |
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| 18 | USE phycst ! physical constant |
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| 19 | USE ocesbc ! Ocean Surface Boundary condition |
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| 20 | USE flxrnf ! ocean runoffs |
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| 21 | USE sol_oce ! ocean elliptic solver |
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| 22 | USE solpcg ! preconditionned conjugate gradient solver |
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| 23 | USE solsor ! Successive Over-relaxation solver |
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| 24 | USE solfet ! FETI solver |
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| 25 | USE solver |
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| 26 | USE obc_oce ! Lateral open boundary condition |
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| 27 | USE obcdyn ! ocean open boundary condition (obc_dyn routines) |
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| 28 | USE obcvol ! ocean open boundary condition (obc_vol routines) |
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| 29 | USE lib_mpp ! distributed memory computing library |
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| 30 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 31 | USE cla_dynspg ! cross land advection |
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| 32 | USE prtctl ! Print control |
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| 33 | USE in_out_manager ! I/O manager |
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| 34 | USE solmat ! matrix construction for elliptic solvers |
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| 35 | USE agrif_opa_interp |
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| 36 | USE restart ! only for lrst_oce |
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| 37 | USE iom ! I/O library |
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| 38 | USE dynspg_flt ! surface pressure gradient |
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| 39 | |
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| 40 | IMPLICIT NONE |
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| 41 | PRIVATE |
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| 42 | |
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| 43 | !! * Accessibility |
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| 44 | PUBLIC dyn_spg_flt_jki ! routine called by step.F90 |
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| 45 | |
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| 46 | !! * Substitutions |
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| 47 | # include "domzgr_substitute.h90" |
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| 48 | !!---------------------------------------------------------------------- |
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| 49 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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| 50 | !! $Header$ |
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| 51 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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| 52 | !!---------------------------------------------------------------------- |
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| 53 | |
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| 54 | CONTAINS |
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| 55 | |
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| 56 | SUBROUTINE dyn_spg_flt_jki( kt, kindic ) |
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| 57 | !!---------------------------------------------------------------------- |
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| 58 | !! *** routine dyn_spg_flt_jki *** |
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| 59 | !! |
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| 60 | !! ** Purpose : Compute the now trend due to the surface pressure |
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| 61 | !! gradient for free surface formulation with a constant ocean |
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| 62 | !! volume case, add it to the general trend of momentum equation. |
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| 63 | !! |
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| 64 | !! ** Method : Free surface formulation. The surface pressure gradient |
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| 65 | !! is given by: |
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| 66 | !! spgu = 1/rau0 d/dx(ps) = 1/e1u di( etn + rnu btda ) |
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| 67 | !! spgv = 1/rau0 d/dy(ps) = 1/e2v dj( etn + rnu btda ) |
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| 68 | !! where etn is the free surface elevation and btda is the after |
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| 69 | !! of the free surface elevation |
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| 70 | !! -1- compute the after sea surface elevation from the cinematic |
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| 71 | !! surface boundary condition: |
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| 72 | !! zssha = sshb + 2 rdt ( wn - emp ) |
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| 73 | !! Time filter applied on now sea surface elevation to avoid |
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| 74 | !! the divergence of two consecutive time-steps and swap of free |
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| 75 | !! surface arrays to start the next time step: |
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| 76 | !! sshb = sshn + atfp * [ sshb + zssha - 2 sshn ] |
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| 77 | !! sshn = zssha |
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| 78 | !! -2- evaluate the surface presure trend (including the addi- |
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| 79 | !! tional force) in three steps: |
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| 80 | !! a- compute the right hand side of the elliptic equation: |
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| 81 | !! gcb = 1/(e1t e2t) [ di(e2u spgu) + dj(e1v spgv) ] |
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| 82 | !! where (spgu,spgv) are given by: |
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| 83 | !! spgu = vertical sum[ e3u (ub+ 2 rdt ua ) ] |
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| 84 | !! - grav 2 rdt hu /e1u di[sshn + emp] |
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| 85 | !! spgv = vertical sum[ e3v (vb+ 2 rdt va) ] |
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| 86 | !! - grav 2 rdt hv /e2v dj[sshn + emp] |
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| 87 | !! and define the first guess from previous computation : |
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| 88 | !! zbtd = btda |
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| 89 | !! btda = 2 zbtd - btdb |
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| 90 | !! btdb = zbtd |
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| 91 | !! b- compute the relative accuracy to be reached by the |
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| 92 | !! iterative solver |
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| 93 | !! c- apply the solver by a call to sol... routine |
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| 94 | !! -3- compute and add the free surface pressure gradient inclu- |
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| 95 | !! ding the additional force used to stabilize the equation. |
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| 96 | !! several slabs used ('key-autotasking') |
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| 97 | !! |
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| 98 | !! ** Action : - Update (ua,va) with the surf. pressure gradient trend |
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| 99 | !! |
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| 100 | !! References : Roullet and Madec 1999, JGR. |
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| 101 | !!--------------------------------------------------------------------- |
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| 102 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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| 103 | INTEGER, INTENT( out ) :: kindic ! solver convergence flag, <0 if the solver doesn t converge |
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| 104 | !! |
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| 105 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 106 | REAL(wp) :: & ! temporary scalars |
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| 107 | z2dt, z2dtg, zraur, znugdt, znurau, & |
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| 108 | zssha, zgcb, zbtd, ztdgu, ztdgv, zgwgt |
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| 109 | !!---------------------------------------------------------------------- |
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| 110 | |
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| 111 | IF( kt == nit000 ) THEN |
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| 112 | IF(lwp) WRITE(numout,*) |
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| 113 | IF(lwp) WRITE(numout,*) 'dyn_spg_flt_jki : surface pressure gradient trend' |
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| 114 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~~~ (free surface constant volume, autotasking case)' |
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| 115 | |
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| 116 | ! set to zero free surface specific arrays |
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| 117 | spgu(:,:) = 0.e0 ! surface pressure gradient (i-direction) |
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| 118 | |
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| 119 | spgv(:,:) = 0.e0 ! surface pressure gradient (j-direction) |
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| 120 | |
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| 121 | CALL solver_init( nit000 ) ! Elliptic solver initialisation |
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| 122 | |
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| 123 | ! read filtered free surface arrays in restart file |
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| 124 | CALL flt_rst( nit000, 'READ' ) ! read or initialize the following fields: |
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| 125 | ! ! gcx, gcxb, sshb, sshn |
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| 126 | ENDIF |
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| 127 | |
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| 128 | ! 0. Local constant initialization |
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| 129 | ! -------------------------------- |
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| 130 | ! time step: leap-frog |
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| 131 | z2dt = 2. * rdt |
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| 132 | ! time step: Euler if restart from rest |
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| 133 | IF( neuler == 0 .AND. kt == nit000 ) z2dt = rdt |
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| 134 | IF( neuler == 0 .AND. kt == nit000+1 ) CALL sol_mat(kt) |
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| 135 | ! coefficients |
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| 136 | z2dtg = grav * z2dt |
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| 137 | zraur = 1. / rauw |
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| 138 | znugdt = rnu * grav * z2dt |
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| 139 | znurau = znugdt * zraur |
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| 140 | |
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| 141 | ! ! =============== |
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| 142 | DO jj = 2, jpjm1 ! Vertical slab |
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| 143 | ! ! =============== |
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| 144 | ! Surface pressure gradient (now) |
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| 145 | DO ji = 2, jpim1 |
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| 146 | spgu(ji,jj) = - grav * ( sshn(ji+1,jj ) - sshn(ji,jj) ) / e1u(ji,jj) |
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| 147 | spgv(ji,jj) = - grav * ( sshn(ji ,jj+1) - sshn(ji,jj) ) / e2v(ji,jj) |
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| 148 | END DO |
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| 149 | ! Add the surface pressure trend to the general trend |
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| 150 | DO jk = 1, jpkm1 |
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| 151 | DO ji = 2, jpim1 |
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| 152 | ua(ji,jj,jk) = ua(ji,jj,jk) + spgu(ji,jj) |
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| 153 | va(ji,jj,jk) = va(ji,jj,jk) + spgv(ji,jj) |
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| 154 | END DO |
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| 155 | END DO |
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| 156 | ! Evaluate the masked next velocity (effect of the additional force not included) |
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| 157 | DO jk = 1, jpkm1 |
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| 158 | DO ji = 2, jpim1 |
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| 159 | ua(ji,jj,jk) = ( ub(ji,jj,jk) + z2dt * ua(ji,jj,jk) ) * umask(ji,jj,jk) |
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| 160 | va(ji,jj,jk) = ( vb(ji,jj,jk) + z2dt * va(ji,jj,jk) ) * vmask(ji,jj,jk) |
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| 161 | END DO |
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| 162 | END DO |
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| 163 | ! ! =============== |
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| 164 | END DO ! End of slab |
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| 165 | ! ! =============== |
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| 166 | |
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| 167 | #if defined key_obc |
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| 168 | ! Update velocities on each open boundary with the radiation algorithm |
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| 169 | CALL obc_dyn( kt ) |
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| 170 | ! Correction of the barotropic componant velocity to control the volume of the system |
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| 171 | CALL obc_vol( kt ) |
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| 172 | #endif |
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| 173 | #if defined key_agrif |
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| 174 | ! Update velocities on each coarse/fine interfaces |
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| 175 | |
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| 176 | CALL Agrif_dyn( kt ) |
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| 177 | #endif |
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| 178 | #if defined key_orca_r2 |
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| 179 | IF( n_cla == 1 ) CALL dyn_spg_cla( kt ) ! Cross Land Advection (Update (ua,va)) |
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| 180 | #endif |
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| 181 | |
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| 182 | ! ! =============== |
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| 183 | DO jj = 2, jpjm1 ! Vertical slab |
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| 184 | ! ! =============== |
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| 185 | |
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| 186 | ! 2. compute the next vertically averaged velocity |
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| 187 | ! ------------------------------------------------ |
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| 188 | ! (effect of the additional force not included) |
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| 189 | ! initialize to zero |
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| 190 | DO ji = 2, jpim1 |
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| 191 | spgu(ji,jj) = 0.e0 |
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| 192 | spgv(ji,jj) = 0.e0 |
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| 193 | END DO |
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| 194 | ! vertical sum |
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| 195 | DO jk = 1, jpk |
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| 196 | DO ji = 2, jpim1 |
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| 197 | spgu(ji,jj) = spgu(ji,jj) + fse3u(ji,jj,jk) * ua(ji,jj,jk) |
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| 198 | spgv(ji,jj) = spgv(ji,jj) + fse3v(ji,jj,jk) * va(ji,jj,jk) |
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| 199 | END DO |
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| 200 | END DO |
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| 201 | ! transport: multiplied by the horizontal scale factor |
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| 202 | DO ji = 2, jpim1 |
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| 203 | spgu(ji,jj) = spgu(ji,jj) * e2u(ji,jj) |
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| 204 | spgv(ji,jj) = spgv(ji,jj) * e1v(ji,jj) |
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| 205 | END DO |
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| 206 | ! ! =============== |
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| 207 | END DO ! End of slab |
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| 208 | ! ! =============== |
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| 209 | |
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| 210 | !,,,,,,,,,,,,,,,,,,,,,,,,,,,,,synchro,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, |
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| 211 | |
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| 212 | ! Boundary conditions on (spgu,spgv) |
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| 213 | CALL lbc_lnk( spgu, 'U', -1. ) |
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| 214 | CALL lbc_lnk( spgv, 'V', -1. ) |
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| 215 | |
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| 216 | !,,,,,,,,,,,,,,,,,,,,,,,,,,,,,synchro,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, |
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| 217 | |
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| 218 | ! 3. Right hand side of the elliptic equation and first guess |
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| 219 | ! ----------------------------------------------------------- |
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| 220 | DO jj = 2, jpjm1 |
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| 221 | DO ji = 2, jpim1 |
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| 222 | ! Divergence of the after vertically averaged velocity |
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| 223 | zgcb = spgu(ji,jj) - spgu(ji-1,jj) & |
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| 224 | + spgv(ji,jj) - spgv(ji,jj-1) |
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| 225 | gcb(ji,jj) = gcdprc(ji,jj) * zgcb |
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| 226 | ! First guess of the after barotropic transport divergence |
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| 227 | zbtd = gcx(ji,jj) |
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| 228 | gcx (ji,jj) = 2. * zbtd - gcxb(ji,jj) |
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| 229 | gcxb(ji,jj) = zbtd |
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| 230 | END DO |
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| 231 | END DO |
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| 232 | ! applied the lateral boundary conditions |
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| 233 | IF( nsolv == 2 .AND. MAX( jpr2di, jpr2dj ) > 0 ) CALL lbc_lnk_e( gcb, c_solver_pt, 1. ) |
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| 234 | |
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| 235 | #if defined key_agrif |
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| 236 | IF( .NOT. AGRIF_ROOT() ) THEN |
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| 237 | ! add contribution of gradient of after barotropic transport divergence |
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| 238 | IF( (nbondi == -1) .OR. (nbondi == 2) ) gcb(3,:) = gcb(3,:) & |
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| 239 | & -znugdt * z2dt*laplacu(2,:)*gcdprc(3,:)*hu(2,:)*e2u(2,:) |
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| 240 | IF( (nbondi == 1) .OR. (nbondi == 2) ) gcb(nlci-2,:) = gcb(nlci-2,:) & |
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| 241 | & +znugdt * z2dt*laplacu(nlci-2,:)*gcdprc(nlci-2,:)*hu(nlci-2,:)*e2u(nlci-2,:) |
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| 242 | IF( (nbondj == -1) .OR. (nbondj == 2) ) gcb(:,3) = gcb(:,3) & |
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| 243 | & -znugdt * z2dt*laplacv(:,2)*gcdprc(:,3)*hv(:,2)*e1v(:,2) |
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| 244 | IF( (nbondj == 1) .OR. (nbondj == 2) ) gcb(:,nlcj-2) = gcb(:,nlcj-2) & |
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| 245 | & +znugdt * z2dt*laplacv(:,nlcj-2)*gcdprc(:,nlcj-2)*hv(:,nlcj-2)*e1v(:,nlcj-2) |
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| 246 | ENDIF |
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| 247 | #endif |
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| 248 | |
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| 249 | !,,,,,,,,,,,,,,,,,,,,,,,,,,,,,synchro,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, |
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| 250 | |
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| 251 | ! 4. Relative precision (computation on one processor) |
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| 252 | ! --------------------- |
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| 253 | rnorme =0. |
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| 254 | DO jj = 1, jpj |
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| 255 | DO ji = 1, jpi |
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| 256 | zgwgt = gcdmat(ji,jj) * gcb(ji,jj) |
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| 257 | rnorme = rnorme + gcb(ji,jj) * zgwgt * bmask(ji,jj) |
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| 258 | END DO |
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| 259 | END DO |
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| 260 | IF( lk_mpp ) CALL mpp_sum( rnorme ) ! sum over the global domain |
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| 261 | |
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| 262 | epsr = eps * eps * rnorme |
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| 263 | ncut = 0 |
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| 264 | ! if rnorme is 0, the solution is 0, the solver isn't called |
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| 265 | IF( rnorme == 0.e0 ) THEN |
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| 266 | gcx(:,:) = 0.e0 |
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| 267 | res = 0.e0 |
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| 268 | niter = 0 |
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| 269 | ncut = 999 |
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| 270 | ENDIF |
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| 271 | |
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| 272 | !,,,,,,,,,,,,,,,,,,,,,,,,,,,,,synchro,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, |
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| 273 | |
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| 274 | ! 5. Evaluate the next transport divergence |
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| 275 | ! ----------------------------------------- |
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| 276 | ! Iterarive solver for the elliptic equation (except IF sol.=0) |
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| 277 | ! (output in gcx with boundary conditions applied) |
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| 278 | kindic = 0 |
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| 279 | IF( ncut == 0 ) THEN |
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| 280 | IF( nsolv == 1 ) THEN ! diagonal preconditioned conjuguate gradient |
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| 281 | CALL sol_pcg( kindic ) |
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| 282 | ELSEIF( nsolv == 2 ) THEN ! successive-over-relaxation |
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| 283 | CALL sol_sor( kindic ) |
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| 284 | ELSEIF( nsolv == 3 ) THEN ! FETI solver |
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| 285 | CALL sol_fet( kindic ) |
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| 286 | ELSE ! e r r o r in nsolv namelist parameter |
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| 287 | WRITE(ctmp1,*) ' ~~~~~~~~~~~~~~~~ not = ', nsolv |
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| 288 | CALL ctl_stop( ' dyn_spg_flt_jki : e r r o r, nsolv = 1, 2 or 3', ctmp1 ) |
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| 289 | ENDIF |
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| 290 | ENDIF |
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| 291 | |
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| 292 | !,,,,,,,,,,,,,,,,,,,,,,,,,,,,,synchro,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, |
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| 293 | |
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| 294 | ! ! =============== |
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| 295 | DO jj = 2, jpjm1 ! Vertical slab |
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| 296 | ! ! =============== |
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| 297 | |
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| 298 | ! 6. Transport divergence gradient multiplied by z2dt |
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| 299 | ! -----------------------------------------------==== |
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| 300 | DO ji = 2, jpim1 |
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| 301 | ! trend of Transport divergence gradient |
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| 302 | ztdgu = znugdt * (gcx(ji+1,jj ) - gcx(ji,jj) ) / e1u(ji,jj) |
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| 303 | ztdgv = znugdt * (gcx(ji ,jj+1) - gcx(ji,jj) ) / e2v(ji,jj) |
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| 304 | ! multiplied by z2dt |
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| 305 | #if defined key_obc |
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| 306 | ! caution : grad D = 0 along open boundaries |
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| 307 | spgu(ji,jj) = z2dt * ztdgu * obcumask(ji,jj) |
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| 308 | spgv(ji,jj) = z2dt * ztdgv * obcvmask(ji,jj) |
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| 309 | #else |
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| 310 | spgu(ji,jj) = z2dt * ztdgu |
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| 311 | spgv(ji,jj) = z2dt * ztdgv |
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| 312 | #endif |
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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,:) = znugdt * z2dt * laplacu(2,:) * umask(2,:,1) |
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| 319 | IF( (nbondi == 1) .OR. (nbondi == 2) ) spgu(nlci-2,:) = znugdt * z2dt * laplacu(nlci-2,:) * umask(nlci-2,:,1) |
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| 320 | IF( (nbondj == -1) .OR. (nbondj == 2) ) spgv(:,2) = znugdt * z2dt * laplacv(:,2) * vmask(:,2,1) |
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| 321 | IF( (nbondj == 1) .OR. (nbondj == 2) ) spgv(:,nlcj-2) = znugdt * 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 | |
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| 325 | ! 7. Add the trends multiplied by z2dt to the after velocity |
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| 326 | ! ----------------------------------------------------------- |
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| 327 | ! ( c a u t i o n : (ua,va) here are the after velocity not the |
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| 328 | ! trend, the leap-frog time stepping will not |
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| 329 | ! be done in dynnxt.F routine) |
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| 330 | DO jk = 1, jpkm1 |
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| 331 | DO ji = 2, jpim1 |
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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 | |
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| 337 | ! 8. Sea surface elevation time stepping |
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| 338 | ! -------------------------------------- |
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| 339 | IF( neuler == 0 .AND. kt == nit000 ) THEN ! Euler (forward) time stepping, no time filter |
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| 340 | DO ji = 1, jpi |
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| 341 | ! after free surface elevation |
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| 342 | zssha = sshb(ji,jj) + rdt * ( wn(ji,jj,1) - emp(ji,jj) * zraur ) * tmask(ji,jj,1) |
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| 343 | ! swap of arrays |
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| 344 | sshb(ji,jj) = sshn(ji,jj) |
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| 345 | sshn(ji,jj) = zssha |
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| 346 | END DO |
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| 347 | ELSE ! Leap-frog time stepping and time filter |
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| 348 | DO ji = 1, jpi |
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| 349 | ! after free surface elevation |
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| 350 | zssha = sshb(ji,jj) + z2dt * ( wn(ji,jj,1) - emp(ji,jj) * zraur ) * tmask(ji,jj,1) |
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| 351 | ! time filter and array swap |
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| 352 | sshb(ji,jj) = atfp * ( sshb(ji,jj) + zssha ) + atfp1 * sshn(ji,jj) |
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| 353 | sshn(ji,jj) = zssha |
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| 354 | END DO |
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| 355 | ENDIF |
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| 356 | ! ! =============== |
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| 357 | END DO ! End of slab |
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| 358 | ! ! =============== |
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| 359 | |
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| 360 | !Boundary conditions on sshn |
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| 361 | CALL lbc_lnk( sshn, 'T', 1. ) |
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| 362 | |
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| 363 | ! write filtered free surface arrays in restart file |
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| 364 | ! -------------------------------------------------- |
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| 365 | IF( lrst_oce ) CALL flt_rst( kt, 'WRITE' ) |
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| 366 | |
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| 367 | IF(ln_ctl) THEN ! print sum trends (used for debugging) |
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| 368 | CALL prt_ctl( tab3d_1=ua , clinfo1=' spg - Ua : ', mask1=umask, & |
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| 369 | & tab3d_2=va , clinfo2=' Va : ', mask2=vmask ) |
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| 370 | CALL prt_ctl( tab2d_1=sshn, clinfo1=' spg - ssh: ', mask1=tmask) |
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| 371 | ENDIF |
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| 372 | ! |
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| 373 | END SUBROUTINE dyn_spg_flt_jki |
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| 374 | #else |
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| 375 | !!---------------------------------------------------------------------- |
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| 376 | !! Default case : Empty module |
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| 377 | !!---------------------------------------------------------------------- |
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| 378 | CONTAINS |
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| 379 | SUBROUTINE dyn_spg_flt_jki( kt, kindic ) ! Empty module |
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| 380 | WRITE(*,*) 'dyn_spg_flt_jki: You should not have seen this print! error?', kt, kindic |
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| 381 | END SUBROUTINE dyn_spg_flt_jki |
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| 382 | #endif |
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| 383 | |
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| 384 | !!====================================================================== |
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| 385 | END MODULE dynspg_flt_jki |
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