[3] | 1 | MODULE dynzdf_imp |
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[2715] | 2 | !!====================================================================== |
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[3] | 3 | !! *** MODULE dynzdf_imp *** |
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[6140] | 4 | !! Ocean dynamics: vertical component(s) of the momentum mixing trend, implicit scheme |
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[2715] | 5 | !!====================================================================== |
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[2528] | 6 | !! History : OPA ! 1990-10 (B. Blanke) Original code |
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| 7 | !! 8.0 ! 1997-05 (G. Madec) vertical component of isopycnal |
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[2715] | 8 | !! NEMO 0.5 ! 2002-08 (G. Madec) F90: Free form and module |
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[2528] | 9 | !! 3.3 ! 2010-04 (M. Leclair, G. Madec) Forcing averaged over 2 time steps |
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[3294] | 10 | !! 3.4 ! 2012-01 (H. Liu) Semi-implicit bottom friction |
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[503] | 11 | !!---------------------------------------------------------------------- |
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[3] | 12 | |
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| 13 | !!---------------------------------------------------------------------- |
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[6140] | 14 | !! dyn_zdf_imp : compute the vertical diffusion using a implicit scheme |
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| 15 | !! together with the Leap-Frog time integration. |
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[3] | 16 | !!---------------------------------------------------------------------- |
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[6140] | 17 | USE oce ! ocean dynamics and tracers |
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| 18 | USE phycst ! physical constants |
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| 19 | USE dom_oce ! ocean space and time domain |
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| 20 | USE domvvl ! variable volume |
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| 21 | USE sbc_oce ! surface boundary condition: ocean |
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| 22 | USE dynadv , ONLY: ln_dynadv_vec ! Momentum advection form |
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| 23 | USE zdf_oce ! ocean vertical physics |
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| 24 | USE zdfbfr ! Bottom friction setup |
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| 25 | ! |
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| 26 | USE in_out_manager ! I/O manager |
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| 27 | USE lib_mpp ! MPP library |
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| 28 | USE wrk_nemo ! Memory Allocation |
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| 29 | USE timing ! Timing |
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[3] | 30 | |
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| 31 | IMPLICIT NONE |
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| 32 | PRIVATE |
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| 33 | |
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[2528] | 34 | PUBLIC dyn_zdf_imp ! called by step.F90 |
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[3] | 35 | |
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[6140] | 36 | REAL(wp) :: r_vvl ! non-linear free surface indicator: =0 if ln_linssh=T, =1 otherwise |
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[4292] | 37 | |
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[3] | 38 | !! * Substitutions |
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| 39 | # include "vectopt_loop_substitute.h90" |
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| 40 | !!---------------------------------------------------------------------- |
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[2528] | 41 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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[888] | 42 | !! $Id$ |
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[2528] | 43 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[3] | 44 | !!---------------------------------------------------------------------- |
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| 45 | CONTAINS |
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| 46 | |
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[503] | 47 | SUBROUTINE dyn_zdf_imp( kt, p2dt ) |
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[3] | 48 | !!---------------------------------------------------------------------- |
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| 49 | !! *** ROUTINE dyn_zdf_imp *** |
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| 50 | !! |
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| 51 | !! ** Purpose : Compute the trend due to the vert. momentum diffusion |
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[6140] | 52 | !! together with the Leap-Frog time stepping using an |
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| 53 | !! implicit scheme. |
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[3] | 54 | !! |
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[6140] | 55 | !! ** Method : - Leap-Frog time stepping on all trends but the vertical mixing |
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| 56 | !! ua = ub + 2*dt * ua vector form or linear free surf. |
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| 57 | !! ua = ( e3u_b*ub + 2*dt * e3u_n*ua ) / e3u_a otherwise |
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| 58 | !! - update the after velocity with the implicit vertical mixing. |
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| 59 | !! This requires to solver the following system: |
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| 60 | !! ua = ua + 1/e3u_a dk+1[ avmu / e3uw_a dk[ua] ] |
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| 61 | !! with the following surface/top/bottom boundary condition: |
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| 62 | !! surface: wind stress input (averaged over kt-1/2 & kt+1/2) |
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| 63 | !! top & bottom : top stress (iceshelf-ocean) & bottom stress (cf zdfbfr.F) |
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[3] | 64 | !! |
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[6140] | 65 | !! ** Action : (ua,va) after velocity |
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[3] | 66 | !!--------------------------------------------------------------------- |
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[3294] | 67 | INTEGER , INTENT(in) :: kt ! ocean time-step index |
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[2715] | 68 | REAL(wp), INTENT(in) :: p2dt ! vertical profile of tracer time-step |
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[6140] | 69 | ! |
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| 70 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 71 | INTEGER :: ikbu, ikbv ! local integers |
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| 72 | REAL(wp) :: zzwi, ze3ua ! local scalars |
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| 73 | REAL(wp) :: zzws, ze3va ! - - |
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[3294] | 74 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zwi, zwd, zws |
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| 75 | !!---------------------------------------------------------------------- |
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| 76 | ! |
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| 77 | IF( nn_timing == 1 ) CALL timing_start('dyn_zdf_imp') |
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| 78 | ! |
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| 79 | CALL wrk_alloc( jpi,jpj,jpk, zwi, zwd, zws ) |
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| 80 | ! |
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[3] | 81 | IF( kt == nit000 ) THEN |
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| 82 | IF(lwp) WRITE(numout,*) |
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| 83 | IF(lwp) WRITE(numout,*) 'dyn_zdf_imp : vertical momentum diffusion implicit operator' |
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| 84 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ ' |
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[4292] | 85 | ! |
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[6140] | 86 | If( ln_linssh ) THEN ; r_vvl = 0._wp ! non-linear free surface indicator |
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| 87 | ELSE ; r_vvl = 1._wp |
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[4292] | 88 | ENDIF |
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[3] | 89 | ENDIF |
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[6140] | 90 | ! |
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| 91 | ! !== Time step dynamics ==! |
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| 92 | ! |
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| 93 | IF( ln_dynadv_vec .OR. ln_linssh ) THEN ! applied on velocity |
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[5930] | 94 | DO jk = 1, jpkm1 |
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[7753] | 95 | ua(:,:,jk) = ( ub(:,:,jk) + p2dt * ua(:,:,jk) ) * umask(:,:,jk) |
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| 96 | va(:,:,jk) = ( vb(:,:,jk) + p2dt * va(:,:,jk) ) * vmask(:,:,jk) |
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[5930] | 97 | END DO |
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[6140] | 98 | ELSE ! applied on thickness weighted velocity |
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[5930] | 99 | DO jk = 1, jpkm1 |
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[7753] | 100 | ua(:,:,jk) = ( e3u_b(:,:,jk) * ub(:,:,jk) & |
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| 101 | & + p2dt * e3u_n(:,:,jk) * ua(:,:,jk) ) / e3u_a(:,:,jk) * umask(:,:,jk) |
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| 102 | va(:,:,jk) = ( e3v_b(:,:,jk) * vb(:,:,jk) & |
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| 103 | & + p2dt * e3v_n(:,:,jk) * va(:,:,jk) ) / e3v_a(:,:,jk) * vmask(:,:,jk) |
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[5930] | 104 | END DO |
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| 105 | ENDIF |
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[6140] | 106 | ! |
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| 107 | ! !== Apply semi-implicit bottom friction ==! |
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| 108 | ! |
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[3294] | 109 | ! Only needed for semi-implicit bottom friction setup. The explicit |
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| 110 | ! bottom friction has been included in "u(v)a" which act as the R.H.S |
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| 111 | ! column vector of the tri-diagonal matrix equation |
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| 112 | ! |
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| 113 | IF( ln_bfrimp ) THEN |
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[4292] | 114 | DO jj = 2, jpjm1 |
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| 115 | DO ji = 2, jpim1 |
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| 116 | ikbu = mbku(ji,jj) ! ocean bottom level at u- and v-points |
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| 117 | ikbv = mbkv(ji,jj) ! (deepest ocean u- and v-points) |
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[6140] | 118 | avmu(ji,jj,ikbu+1) = -bfrua(ji,jj) * e3uw_n(ji,jj,ikbu+1) |
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| 119 | avmv(ji,jj,ikbv+1) = -bfrva(ji,jj) * e3vw_n(ji,jj,ikbv+1) |
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[4292] | 120 | END DO |
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[3294] | 121 | END DO |
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[5120] | 122 | IF ( ln_isfcav ) THEN |
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| 123 | DO jj = 2, jpjm1 |
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| 124 | DO ji = 2, jpim1 |
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| 125 | ikbu = miku(ji,jj) ! ocean top level at u- and v-points |
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| 126 | ikbv = mikv(ji,jj) ! (first wet ocean u- and v-points) |
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[6140] | 127 | IF( ikbu >= 2 ) avmu(ji,jj,ikbu) = -tfrua(ji,jj) * e3uw_n(ji,jj,ikbu) |
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| 128 | IF( ikbv >= 2 ) avmv(ji,jj,ikbv) = -tfrva(ji,jj) * e3vw_n(ji,jj,ikbv) |
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[5120] | 129 | END DO |
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| 130 | END DO |
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| 131 | END IF |
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[3294] | 132 | ENDIF |
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[6140] | 133 | ! |
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[5930] | 134 | ! With split-explicit free surface, barotropic stress is treated explicitly |
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| 135 | ! Update velocities at the bottom. |
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| 136 | ! J. Chanut: The bottom stress is computed considering after barotropic velocities, which does |
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| 137 | ! not lead to the effective stress seen over the whole barotropic loop. |
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[6140] | 138 | ! G. Madec : in linear free surface, e3u_a = e3u_n = e3u_0, so systematic use of e3u_a |
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| 139 | IF( ln_bfrimp .AND. ln_dynspg_ts ) THEN |
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| 140 | DO jk = 1, jpkm1 ! remove barotropic velocities |
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[7753] | 141 | ua(:,:,jk) = ( ua(:,:,jk) - ua_b(:,:) ) * umask(:,:,jk) |
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| 142 | va(:,:,jk) = ( va(:,:,jk) - va_b(:,:) ) * vmask(:,:,jk) |
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[4990] | 143 | END DO |
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[6140] | 144 | DO jj = 2, jpjm1 ! Add bottom/top stress due to barotropic component only |
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[4292] | 145 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 146 | ikbu = mbku(ji,jj) ! ocean bottom level at u- and v-points |
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| 147 | ikbv = mbkv(ji,jj) ! (deepest ocean u- and v-points) |
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[6140] | 148 | ze3ua = ( 1._wp - r_vvl ) * e3u_n(ji,jj,ikbu) + r_vvl * e3u_a(ji,jj,ikbu) |
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| 149 | ze3va = ( 1._wp - r_vvl ) * e3v_n(ji,jj,ikbv) + r_vvl * e3v_a(ji,jj,ikbv) |
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[4292] | 150 | ua(ji,jj,ikbu) = ua(ji,jj,ikbu) + p2dt * bfrua(ji,jj) * ua_b(ji,jj) / ze3ua |
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| 151 | va(ji,jj,ikbv) = va(ji,jj,ikbv) + p2dt * bfrva(ji,jj) * va_b(ji,jj) / ze3va |
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| 152 | END DO |
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| 153 | END DO |
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[6140] | 154 | IF( ln_isfcav ) THEN ! Ocean cavities (ISF) |
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[5120] | 155 | DO jj = 2, jpjm1 |
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| 156 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 157 | ikbu = miku(ji,jj) ! top ocean level at u- and v-points |
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| 158 | ikbv = mikv(ji,jj) ! (first wet ocean u- and v-points) |
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[6140] | 159 | ze3ua = ( 1._wp - r_vvl ) * e3u_n(ji,jj,ikbu) + r_vvl * e3u_a(ji,jj,ikbu) |
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| 160 | ze3va = ( 1._wp - r_vvl ) * e3v_n(ji,jj,ikbv) + r_vvl * e3v_a(ji,jj,ikbv) |
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[5120] | 161 | ua(ji,jj,ikbu) = ua(ji,jj,ikbu) + p2dt * tfrua(ji,jj) * ua_b(ji,jj) / ze3ua |
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| 162 | va(ji,jj,ikbv) = va(ji,jj,ikbv) + p2dt * tfrva(ji,jj) * va_b(ji,jj) / ze3va |
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| 163 | END DO |
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| 164 | END DO |
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| 165 | END IF |
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[4292] | 166 | ENDIF |
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[6140] | 167 | ! |
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| 168 | ! !== Vertical diffusion on u ==! |
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| 169 | ! |
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[3] | 170 | ! Matrix and second member construction |
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[1662] | 171 | ! bottom boundary condition: both zwi and zws must be masked as avmu can take |
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[3294] | 172 | ! non zero value at the ocean bottom depending on the bottom friction used. |
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[2528] | 173 | ! |
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| 174 | DO jk = 1, jpkm1 ! Matrix |
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[3] | 175 | DO jj = 2, jpjm1 |
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| 176 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[6140] | 177 | ze3ua = ( 1._wp - r_vvl ) * e3u_n(ji,jj,jk) + r_vvl * e3u_a(ji,jj,jk) ! after scale factor at T-point |
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| 178 | zzwi = - p2dt * avmu(ji,jj,jk ) / ( ze3ua * e3uw_n(ji,jj,jk ) ) |
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| 179 | zzws = - p2dt * avmu(ji,jj,jk+1) / ( ze3ua * e3uw_n(ji,jj,jk+1) ) |
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| 180 | zwi(ji,jj,jk) = zzwi * wumask(ji,jj,jk ) |
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| 181 | zws(ji,jj,jk) = zzws * wumask(ji,jj,jk+1) |
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[5120] | 182 | zwd(ji,jj,jk) = 1._wp - zzwi - zzws |
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[3] | 183 | END DO |
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| 184 | END DO |
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| 185 | END DO |
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[4292] | 186 | DO jj = 2, jpjm1 ! Surface boundary conditions |
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[3] | 187 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[2528] | 188 | zwi(ji,jj,1) = 0._wp |
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| 189 | zwd(ji,jj,1) = 1._wp - zws(ji,jj,1) |
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[3] | 190 | END DO |
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| 191 | END DO |
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| 192 | |
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| 193 | ! Matrix inversion starting from the first level |
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| 194 | !----------------------------------------------------------------------- |
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| 195 | ! solve m.x = y where m is a tri diagonal matrix ( jpk*jpk ) |
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| 196 | ! |
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| 197 | ! ( zwd1 zws1 0 0 0 )( zwx1 ) ( zwy1 ) |
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| 198 | ! ( zwi2 zwd2 zws2 0 0 )( zwx2 ) ( zwy2 ) |
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| 199 | ! ( 0 zwi3 zwd3 zws3 0 )( zwx3 )=( zwy3 ) |
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| 200 | ! ( ... )( ... ) ( ... ) |
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| 201 | ! ( 0 0 0 zwik zwdk )( zwxk ) ( zwyk ) |
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| 202 | ! |
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| 203 | ! m is decomposed in the product of an upper and a lower triangular matrix |
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| 204 | ! The 3 diagonal terms are in 2d arrays: zwd, zws, zwi |
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| 205 | ! The solution (the after velocity) is in ua |
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| 206 | !----------------------------------------------------------------------- |
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[2528] | 207 | ! |
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[5836] | 208 | DO jk = 2, jpkm1 !== First recurrence : Dk = Dk - Lk * Uk-1 / Dk-1 (increasing k) == |
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[5120] | 209 | DO jj = 2, jpjm1 |
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| 210 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[3] | 211 | zwd(ji,jj,jk) = zwd(ji,jj,jk) - zwi(ji,jj,jk) * zws(ji,jj,jk-1) / zwd(ji,jj,jk-1) |
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| 212 | END DO |
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| 213 | END DO |
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| 214 | END DO |
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[2528] | 215 | ! |
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[6140] | 216 | DO jj = 2, jpjm1 !== second recurrence: SOLk = RHSk - Lk / Dk-1 Lk-1 ==! |
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[3] | 217 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[6140] | 218 | ze3ua = ( 1._wp - r_vvl ) * e3u_n(ji,jj,1) + r_vvl * e3u_a(ji,jj,1) |
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[5120] | 219 | ua(ji,jj,1) = ua(ji,jj,1) + p2dt * 0.5_wp * ( utau_b(ji,jj) + utau(ji,jj) ) & |
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| 220 | & / ( ze3ua * rau0 ) * umask(ji,jj,1) |
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| 221 | END DO |
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| 222 | END DO |
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| 223 | DO jk = 2, jpkm1 |
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| 224 | DO jj = 2, jpjm1 |
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| 225 | DO ji = fs_2, fs_jpim1 |
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[6140] | 226 | ua(ji,jj,jk) = ua(ji,jj,jk) - zwi(ji,jj,jk) / zwd(ji,jj,jk-1) * ua(ji,jj,jk-1) |
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[3] | 227 | END DO |
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| 228 | END DO |
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| 229 | END DO |
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[2528] | 230 | ! |
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[6140] | 231 | DO jj = 2, jpjm1 !== thrid recurrence : SOLk = ( Lk - Uk * Ek+1 ) / Dk ==! |
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[3] | 232 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 233 | ua(ji,jj,jpkm1) = ua(ji,jj,jpkm1) / zwd(ji,jj,jpkm1) |
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[5120] | 234 | END DO |
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| 235 | END DO |
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| 236 | DO jk = jpk-2, 1, -1 |
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| 237 | DO jj = 2, jpjm1 |
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| 238 | DO ji = fs_2, fs_jpim1 |
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[2528] | 239 | ua(ji,jj,jk) = ( ua(ji,jj,jk) - zws(ji,jj,jk) * ua(ji,jj,jk+1) ) / zwd(ji,jj,jk) |
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[3] | 240 | END DO |
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| 241 | END DO |
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| 242 | END DO |
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[6140] | 243 | ! |
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| 244 | ! !== Vertical diffusion on v ==! |
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| 245 | ! |
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[3] | 246 | ! Matrix and second member construction |
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[1662] | 247 | ! bottom boundary condition: both zwi and zws must be masked as avmv can take |
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[3294] | 248 | ! non zero value at the ocean bottom depending on the bottom friction used |
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[2528] | 249 | ! |
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| 250 | DO jk = 1, jpkm1 ! Matrix |
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[3] | 251 | DO jj = 2, jpjm1 |
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| 252 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[6140] | 253 | ze3va = ( 1._wp - r_vvl ) * e3v_n(ji,jj,jk) + r_vvl * e3v_a(ji,jj,jk) ! after scale factor at T-point |
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| 254 | zzwi = - p2dt * avmv (ji,jj,jk ) / ( ze3va * e3vw_n(ji,jj,jk ) ) |
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| 255 | zzws = - p2dt * avmv (ji,jj,jk+1) / ( ze3va * e3vw_n(ji,jj,jk+1) ) |
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| 256 | zwi(ji,jj,jk) = zzwi * wvmask(ji,jj,jk ) |
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| 257 | zws(ji,jj,jk) = zzws * wvmask(ji,jj,jk+1) |
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[5120] | 258 | zwd(ji,jj,jk) = 1._wp - zzwi - zzws |
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[3] | 259 | END DO |
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| 260 | END DO |
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| 261 | END DO |
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[4292] | 262 | DO jj = 2, jpjm1 ! Surface boundary conditions |
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[3] | 263 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[2528] | 264 | zwi(ji,jj,1) = 0._wp |
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| 265 | zwd(ji,jj,1) = 1._wp - zws(ji,jj,1) |
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[3] | 266 | END DO |
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| 267 | END DO |
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| 268 | |
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| 269 | ! Matrix inversion |
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| 270 | !----------------------------------------------------------------------- |
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| 271 | ! solve m.x = y where m is a tri diagonal matrix ( jpk*jpk ) |
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| 272 | ! |
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| 273 | ! ( zwd1 zws1 0 0 0 )( zwx1 ) ( zwy1 ) |
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| 274 | ! ( zwi2 zwd2 zws2 0 0 )( zwx2 ) ( zwy2 ) |
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| 275 | ! ( 0 zwi3 zwd3 zws3 0 )( zwx3 )=( zwy3 ) |
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| 276 | ! ( ... )( ... ) ( ... ) |
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| 277 | ! ( 0 0 0 zwik zwdk )( zwxk ) ( zwyk ) |
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| 278 | ! |
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[2528] | 279 | ! m is decomposed in the product of an upper and lower triangular matrix |
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[3] | 280 | ! The 3 diagonal terms are in 2d arrays: zwd, zws, zwi |
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| 281 | ! The solution (after velocity) is in 2d array va |
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| 282 | !----------------------------------------------------------------------- |
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[2528] | 283 | ! |
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[5836] | 284 | DO jk = 2, jpkm1 !== First recurrence : Dk = Dk - Lk * Uk-1 / Dk-1 (increasing k) == |
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[5120] | 285 | DO jj = 2, jpjm1 |
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| 286 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[3] | 287 | zwd(ji,jj,jk) = zwd(ji,jj,jk) - zwi(ji,jj,jk) * zws(ji,jj,jk-1) / zwd(ji,jj,jk-1) |
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| 288 | END DO |
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| 289 | END DO |
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| 290 | END DO |
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[2528] | 291 | ! |
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[6140] | 292 | DO jj = 2, jpjm1 !== second recurrence: SOLk = RHSk - Lk / Dk-1 Lk-1 ==! |
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[5930] | 293 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[6140] | 294 | ze3va = ( 1._wp - r_vvl ) * e3v_n(ji,jj,1) + r_vvl * e3v_a(ji,jj,1) |
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[5120] | 295 | va(ji,jj,1) = va(ji,jj,1) + p2dt * 0.5_wp * ( vtau_b(ji,jj) + vtau(ji,jj) ) & |
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[6752] | 296 | & / ( ze3va * rau0 ) * vmask(ji,jj,1) |
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[5120] | 297 | END DO |
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| 298 | END DO |
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| 299 | DO jk = 2, jpkm1 |
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| 300 | DO jj = 2, jpjm1 |
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| 301 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[6140] | 302 | va(ji,jj,jk) = va(ji,jj,jk) - zwi(ji,jj,jk) / zwd(ji,jj,jk-1) * va(ji,jj,jk-1) |
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[3] | 303 | END DO |
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| 304 | END DO |
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| 305 | END DO |
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[2528] | 306 | ! |
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[6140] | 307 | DO jj = 2, jpjm1 !== third recurrence : SOLk = ( Lk - Uk * SOLk+1 ) / Dk ==! |
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[3] | 308 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 309 | va(ji,jj,jpkm1) = va(ji,jj,jpkm1) / zwd(ji,jj,jpkm1) |
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[5120] | 310 | END DO |
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| 311 | END DO |
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| 312 | DO jk = jpk-2, 1, -1 |
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| 313 | DO jj = 2, jpjm1 |
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| 314 | DO ji = fs_2, fs_jpim1 |
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[2528] | 315 | va(ji,jj,jk) = ( va(ji,jj,jk) - zws(ji,jj,jk) * va(ji,jj,jk+1) ) / zwd(ji,jj,jk) |
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[3] | 316 | END DO |
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| 317 | END DO |
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| 318 | END DO |
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[6140] | 319 | |
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[4292] | 320 | ! J. Chanut: Lines below are useless ? |
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[6140] | 321 | !! restore bottom layer avmu(v) |
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| 322 | !!gm I almost sure it is !!!! |
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[3294] | 323 | IF( ln_bfrimp ) THEN |
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[4990] | 324 | DO jj = 2, jpjm1 |
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| 325 | DO ji = 2, jpim1 |
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| 326 | ikbu = mbku(ji,jj) ! ocean bottom level at u- and v-points |
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| 327 | ikbv = mbkv(ji,jj) ! (deepest ocean u- and v-points) |
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[6140] | 328 | avmu(ji,jj,ikbu+1) = 0._wp |
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| 329 | avmv(ji,jj,ikbv+1) = 0._wp |
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[4990] | 330 | END DO |
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| 331 | END DO |
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[5120] | 332 | IF (ln_isfcav) THEN |
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| 333 | DO jj = 2, jpjm1 |
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| 334 | DO ji = 2, jpim1 |
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| 335 | ikbu = miku(ji,jj) ! ocean top level at u- and v-points |
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| 336 | ikbv = mikv(ji,jj) ! (first wet ocean u- and v-points) |
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[6140] | 337 | IF( ikbu > 1 ) avmu(ji,jj,ikbu) = 0._wp |
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| 338 | IF( ikbv > 1 ) avmv(ji,jj,ikbv) = 0._wp |
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[5120] | 339 | END DO |
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| 340 | END DO |
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[6140] | 341 | ENDIF |
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[3294] | 342 | ENDIF |
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[2528] | 343 | ! |
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[6140] | 344 | CALL wrk_dealloc( jpi,jpj,jpk, zwi, zwd, zws) |
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[2715] | 345 | ! |
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[6140] | 346 | IF( nn_timing == 1 ) CALL timing_stop('dyn_zdf_imp') |
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[3294] | 347 | ! |
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[3] | 348 | END SUBROUTINE dyn_zdf_imp |
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| 349 | |
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| 350 | !!============================================================================== |
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| 351 | END MODULE dynzdf_imp |
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