[358] | 1 | MODULE dynspg_ts |
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| 2 | !!====================================================================== |
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[1502] | 3 | !! History : 1.0 ! 2004-12 (L. Bessieres, G. Madec) Original code |
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| 4 | !! - ! 2005-11 (V. Garnier, G. Madec) optimization |
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| 5 | !! - ! 2006-08 (S. Masson) distributed restart using iom |
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| 6 | !! 2.0 ! 2007-07 (D. Storkey) calls to BDY routines |
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| 7 | !! - ! 2008-01 (R. Benshila) change averaging method |
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| 8 | !! 3.2 ! 2009-07 (R. Benshila, G. Madec) Complete revisit associated to vvl reactivation |
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[2528] | 9 | !! 3.3 ! 2010-09 (D. Storkey, E. O'Dea) update for BDY for Shelf configurations |
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[2724] | 10 | !! 3.3 ! 2011-03 (R. Benshila, R. Hordoir, P. Oddo) update calculation of ub_b |
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| 11 | !!--------------------------------------------------------------------- |
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[575] | 12 | #if defined key_dynspg_ts || defined key_esopa |
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[358] | 13 | !!---------------------------------------------------------------------- |
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[455] | 14 | !! 'key_dynspg_ts' free surface cst volume with time splitting |
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[358] | 15 | !!---------------------------------------------------------------------- |
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| 16 | !! dyn_spg_ts : compute surface pressure gradient trend using a time- |
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| 17 | !! splitting scheme and add to the general trend |
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[508] | 18 | !! ts_rst : read/write the time-splitting restart fields in the ocean restart file |
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[358] | 19 | !!---------------------------------------------------------------------- |
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| 20 | USE oce ! ocean dynamics and tracers |
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| 21 | USE dom_oce ! ocean space and time domain |
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[888] | 22 | USE sbc_oce ! surface boundary condition: ocean |
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| 23 | USE dynspg_oce ! surface pressure gradient variables |
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[358] | 24 | USE phycst ! physical constants |
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[888] | 25 | USE domvvl ! variable volume |
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[1662] | 26 | USE zdfbfr ! bottom friction |
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[358] | 27 | USE dynvor ! vorticity term |
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| 28 | USE obc_oce ! Lateral open boundary condition |
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[371] | 29 | USE obc_par ! open boundary condition parameters |
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[3294] | 30 | USE obcdta ! open boundary condition data |
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| 31 | USE obcfla ! Flather open boundary condition |
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| 32 | USE bdy_par ! for lk_bdy |
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| 33 | USE bdy_oce ! Lateral open boundary condition |
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| 34 | USE bdydta ! open boundary condition data |
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| 35 | USE bdydyn2d ! open boundary conditions on barotropic variables |
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| 36 | USE sbctide |
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| 37 | USE updtide |
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[358] | 38 | USE lib_mpp ! distributed memory computing library |
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| 39 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 40 | USE prtctl ! Print control |
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| 41 | USE in_out_manager ! I/O manager |
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[2715] | 42 | USE iom ! IOM library |
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[3294] | 43 | USE zdf_oce ! Vertical diffusion |
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| 44 | USE wrk_nemo ! Memory Allocation |
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| 45 | USE timing ! Timing |
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[358] | 46 | |
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[3294] | 47 | |
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[358] | 48 | IMPLICIT NONE |
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| 49 | PRIVATE |
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| 50 | |
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[2715] | 51 | PUBLIC dyn_spg_ts ! routine called by step.F90 |
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| 52 | PUBLIC ts_rst ! routine called by istate.F90 |
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| 53 | PUBLIC dyn_spg_ts_alloc ! routine called by dynspg.F90 |
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[358] | 54 | |
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[1502] | 55 | |
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[2715] | 56 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: ftnw, ftne ! triad of coriolis parameter |
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| 57 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: ftsw, ftse ! (only used with een vorticity scheme) |
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[508] | 58 | |
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[2715] | 59 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: un_b, vn_b ! now averaged velocity |
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| 60 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: ub_b, vb_b ! before averaged velocity |
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[1502] | 61 | |
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[358] | 62 | !! * Substitutions |
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| 63 | # include "domzgr_substitute.h90" |
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| 64 | # include "vectopt_loop_substitute.h90" |
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[2715] | 65 | !!---------------------------------------------------------------------- |
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| 66 | !! NEMO/OPA 4.0 , NEMO Consortium (2011) |
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[888] | 67 | !! $Id$ |
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[2715] | 68 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 69 | !!---------------------------------------------------------------------- |
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[358] | 70 | CONTAINS |
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| 71 | |
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[2715] | 72 | INTEGER FUNCTION dyn_spg_ts_alloc() |
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| 73 | !!---------------------------------------------------------------------- |
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| 74 | !! *** routine dyn_spg_ts_alloc *** |
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| 75 | !!---------------------------------------------------------------------- |
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| 76 | ALLOCATE( ftnw (jpi,jpj) , ftne(jpi,jpj) , un_b(jpi,jpj) , vn_b(jpi,jpj) , & |
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| 77 | & ftsw (jpi,jpj) , ftse(jpi,jpj) , ub_b(jpi,jpj) , vb_b(jpi,jpj) , STAT= dyn_spg_ts_alloc ) |
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| 78 | ! |
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| 79 | IF( lk_mpp ) CALL mpp_sum( dyn_spg_ts_alloc ) |
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| 80 | IF( dyn_spg_ts_alloc /= 0 ) CALL ctl_warn('dynspg_oce_alloc: failed to allocate arrays') |
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| 81 | ! |
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| 82 | END FUNCTION dyn_spg_ts_alloc |
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| 83 | |
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| 84 | |
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[358] | 85 | SUBROUTINE dyn_spg_ts( kt ) |
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| 86 | !!---------------------------------------------------------------------- |
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| 87 | !! *** routine dyn_spg_ts *** |
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| 88 | !! |
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| 89 | !! ** Purpose : Compute the now trend due to the surface pressure |
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| 90 | !! gradient in case of free surface formulation with time-splitting. |
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| 91 | !! Add it to the general trend of momentum equation. |
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| 92 | !! |
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| 93 | !! ** Method : Free surface formulation with time-splitting |
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| 94 | !! -1- Save the vertically integrated trend. This general trend is |
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| 95 | !! held constant over the barotropic integration. |
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| 96 | !! The Coriolis force is removed from the general trend as the |
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| 97 | !! surface gradient and the Coriolis force are updated within |
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| 98 | !! the barotropic integration. |
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[367] | 99 | !! -2- Barotropic loop : updates of sea surface height (ssha_e) and |
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[1502] | 100 | !! barotropic velocity (ua_e and va_e) through barotropic |
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[358] | 101 | !! momentum and continuity integration. Barotropic former |
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| 102 | !! variables are time averaging over the full barotropic cycle |
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[2528] | 103 | !! (= 2 * baroclinic time step) and saved in uX_b |
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| 104 | !! and vX_b (X specifying after, now or before). |
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[1438] | 105 | !! -3- The new general trend becomes : |
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[2528] | 106 | !! ua = ua - sum_k(ua)/H + ( un_b - ub_b ) |
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[358] | 107 | !! |
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| 108 | !! ** Action : - Update (ua,va) with the surf. pressure gradient trend |
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| 109 | !! |
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[508] | 110 | !! References : Griffies et al., (2003): A technical guide to MOM4. NOAA/GFDL |
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[358] | 111 | !!--------------------------------------------------------------------- |
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[2715] | 112 | ! |
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[1502] | 113 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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[2715] | 114 | ! |
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[1662] | 115 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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[2715] | 116 | INTEGER :: icycle ! local scalar |
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[3294] | 117 | INTEGER :: ikbu, ikbv ! local scalar |
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| 118 | REAL(wp) :: zraur, zcoef, z2dt_e, z1_2dt_b, z2dt_bf ! local scalars |
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| 119 | REAL(wp) :: z1_8, zx1, zy1 ! - - |
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| 120 | REAL(wp) :: z1_4, zx2, zy2 ! - - |
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| 121 | REAL(wp) :: zu_spg, zu_cor, zu_sld, zu_asp ! - - |
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| 122 | REAL(wp) :: zv_spg, zv_cor, zv_sld, zv_asp ! - - |
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| 123 | REAL(wp) :: ua_btm, va_btm ! - - |
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| 124 | ! |
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| 125 | REAL(wp), POINTER, DIMENSION(:,:) :: zsshun_e, zsshvn_e, zsshb_e, zssh_sum, zhdiv |
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| 126 | REAL(wp), POINTER, DIMENSION(:,:) :: zua, zva, zun, zvn, zun_e, zvn_e, zub_e, zvb_e |
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| 127 | REAL(wp), POINTER, DIMENSION(:,:) :: zcu, zcv, zwx, zwy, zbfru, zbfrv, zu_sum, zv_sum |
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[358] | 128 | !!---------------------------------------------------------------------- |
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[3294] | 129 | ! |
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| 130 | IF( nn_timing == 1 ) CALL timing_start('dyn_spg_ts') |
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| 131 | ! |
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| 132 | CALL wrk_alloc( jpi, jpj, zsshun_e, zsshvn_e, zsshb_e, zssh_sum, zhdiv ) |
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| 133 | CALL wrk_alloc( jpi, jpj, zua, zva, zun, zvn, zun_e, zvn_e, zub_e, zvb_e ) |
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| 134 | CALL wrk_alloc( jpi, jpj, zcu, zcv, zwx, zwy, zbfru, zbfrv, zu_sum, zv_sum ) |
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| 135 | ! |
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[1502] | 136 | IF( kt == nit000 ) THEN !* initialisation |
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[508] | 137 | ! |
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[358] | 138 | IF(lwp) WRITE(numout,*) |
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| 139 | IF(lwp) WRITE(numout,*) 'dyn_spg_ts : surface pressure gradient trend' |
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| 140 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~ free surface with time splitting' |
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[1241] | 141 | IF(lwp) WRITE(numout,*) ' Number of sub cycle in 1 time-step (2 rdt) : icycle = ', 2*nn_baro |
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[1502] | 142 | ! |
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[1708] | 143 | CALL ts_rst( nit000, 'READ' ) ! read or initialize the following fields: un_b, vn_b |
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[1502] | 144 | ! |
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| 145 | ua_e (:,:) = un_b (:,:) |
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| 146 | va_e (:,:) = vn_b (:,:) |
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| 147 | hu_e (:,:) = hu (:,:) |
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| 148 | hv_e (:,:) = hv (:,:) |
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| 149 | hur_e (:,:) = hur (:,:) |
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| 150 | hvr_e (:,:) = hvr (:,:) |
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[358] | 151 | IF( ln_dynvor_een ) THEN |
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[3294] | 152 | ftne(1,:) = 0._wp ; ftnw(1,:) = 0._wp ; ftse(1,:) = 0._wp ; ftsw(1,:) = 0._wp |
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[358] | 153 | DO jj = 2, jpj |
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[1708] | 154 | DO ji = fs_2, jpi ! vector opt. |
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[3294] | 155 | ftne(ji,jj) = ( ff(ji-1,jj ) + ff(ji ,jj ) + ff(ji ,jj-1) ) / 3._wp |
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| 156 | ftnw(ji,jj) = ( ff(ji-1,jj-1) + ff(ji-1,jj ) + ff(ji ,jj ) ) / 3._wp |
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| 157 | ftse(ji,jj) = ( ff(ji ,jj ) + ff(ji ,jj-1) + ff(ji-1,jj-1) ) / 3._wp |
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| 158 | ftsw(ji,jj) = ( ff(ji ,jj-1) + ff(ji-1,jj-1) + ff(ji-1,jj ) ) / 3._wp |
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[358] | 159 | END DO |
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| 160 | END DO |
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| 161 | ENDIF |
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[508] | 162 | ! |
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| 163 | ENDIF |
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[358] | 164 | |
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[3294] | 165 | ! !* Local constant initialization |
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| 166 | z1_2dt_b = 1._wp / ( 2.0_wp * rdt ) ! reciprocal of baroclinic time step |
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| 167 | IF( neuler == 0 .AND. kt == nit000 ) z1_2dt_b = 1.0_wp / rdt ! reciprocal of baroclinic |
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| 168 | ! time step (euler timestep) |
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| 169 | z1_8 = 0.125_wp ! coefficient for vorticity estimates |
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| 170 | z1_4 = 0.25_wp |
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| 171 | zraur = 1._wp / rau0 ! 1 / volumic mass |
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[1502] | 172 | ! |
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[3294] | 173 | zhdiv(:,:) = 0._wp ! barotropic divergence |
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| 174 | zu_sld = 0._wp ; zu_asp = 0._wp ! tides trends (lk_tide=F) |
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| 175 | zv_sld = 0._wp ; zv_asp = 0._wp |
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[1438] | 176 | |
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[3294] | 177 | IF( kt == nit000 .AND. neuler == 0) THEN ! for implicit bottom friction |
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| 178 | z2dt_bf = rdt |
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| 179 | ELSE |
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| 180 | z2dt_bf = 2.0_wp * rdt |
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| 181 | ENDIF |
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| 182 | |
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[358] | 183 | ! ----------------------------------------------------------------------------- |
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| 184 | ! Phase 1 : Coupling between general trend and barotropic estimates (1st step) |
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| 185 | ! ----------------------------------------------------------------------------- |
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[1502] | 186 | ! |
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| 187 | ! !* e3*d/dt(Ua), e3*Ub, e3*Vn (Vertically integrated) |
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| 188 | ! ! -------------------------- |
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[3294] | 189 | zua(:,:) = 0._wp ; zun(:,:) = 0._wp ; ub_b(:,:) = 0._wp |
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| 190 | zva(:,:) = 0._wp ; zvn(:,:) = 0._wp ; vb_b(:,:) = 0._wp |
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[1502] | 191 | ! |
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| 192 | DO jk = 1, jpkm1 |
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| 193 | #if defined key_vectopt_loop |
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| 194 | DO jj = 1, 1 !Vector opt. => forced unrolling |
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[358] | 195 | DO ji = 1, jpij |
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[1502] | 196 | #else |
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| 197 | DO jj = 1, jpj |
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| 198 | DO ji = 1, jpi |
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| 199 | #endif |
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| 200 | ! ! now trend |
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| 201 | zua(ji,jj) = zua(ji,jj) + fse3u (ji,jj,jk) * ua(ji,jj,jk) * umask(ji,jj,jk) |
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| 202 | zva(ji,jj) = zva(ji,jj) + fse3v (ji,jj,jk) * va(ji,jj,jk) * vmask(ji,jj,jk) |
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| 203 | ! ! now velocity |
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| 204 | zun(ji,jj) = zun(ji,jj) + fse3u (ji,jj,jk) * un(ji,jj,jk) |
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| 205 | zvn(ji,jj) = zvn(ji,jj) + fse3v (ji,jj,jk) * vn(ji,jj,jk) |
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[2724] | 206 | ! |
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| 207 | #if defined key_vvl |
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[3294] | 208 | ub_b(ji,jj) = ub_b(ji,jj) + fse3u_b(ji,jj,jk)* ub(ji,jj,jk) *umask(ji,jj,jk) |
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| 209 | vb_b(ji,jj) = vb_b(ji,jj) + fse3v_b(ji,jj,jk)* vb(ji,jj,jk) *vmask(ji,jj,jk) |
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[2724] | 210 | #else |
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| 211 | ub_b(ji,jj) = ub_b(ji,jj) + fse3u_0(ji,jj,jk) * ub(ji,jj,jk) * umask(ji,jj,jk) |
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| 212 | vb_b(ji,jj) = vb_b(ji,jj) + fse3v_0(ji,jj,jk) * vb(ji,jj,jk) * vmask(ji,jj,jk) |
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| 213 | #endif |
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[358] | 214 | END DO |
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| 215 | END DO |
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[1502] | 216 | END DO |
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| 217 | |
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| 218 | ! !* baroclinic momentum trend (remove the vertical mean trend) |
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| 219 | DO jk = 1, jpkm1 ! -------------------------- |
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| 220 | DO jj = 2, jpjm1 |
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| 221 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 222 | ua(ji,jj,jk) = ua(ji,jj,jk) - zua(ji,jj) * hur(ji,jj) |
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| 223 | va(ji,jj,jk) = va(ji,jj,jk) - zva(ji,jj) * hvr(ji,jj) |
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| 224 | END DO |
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[358] | 225 | END DO |
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[1502] | 226 | END DO |
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[358] | 227 | |
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[1502] | 228 | ! !* barotropic Coriolis trends * H (vorticity scheme dependent) |
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| 229 | ! ! ---------------------------==== |
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| 230 | zwx(:,:) = zun(:,:) * e2u(:,:) ! now transport |
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| 231 | zwy(:,:) = zvn(:,:) * e1v(:,:) |
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| 232 | ! |
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[358] | 233 | IF( ln_dynvor_ene .OR. ln_dynvor_mix ) THEN ! energy conserving or mixed scheme |
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| 234 | DO jj = 2, jpjm1 |
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| 235 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 236 | zy1 = ( zwy(ji,jj-1) + zwy(ji+1,jj-1) ) / e1u(ji,jj) |
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| 237 | zy2 = ( zwy(ji,jj ) + zwy(ji+1,jj ) ) / e1u(ji,jj) |
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| 238 | zx1 = ( zwx(ji-1,jj) + zwx(ji-1,jj+1) ) / e2v(ji,jj) |
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| 239 | zx2 = ( zwx(ji ,jj) + zwx(ji ,jj+1) ) / e2v(ji,jj) |
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| 240 | ! energy conserving formulation for planetary vorticity term |
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[1502] | 241 | zcu(ji,jj) = z1_4 * ( ff(ji ,jj-1) * zy1 + ff(ji,jj) * zy2 ) |
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| 242 | zcv(ji,jj) =-z1_4 * ( ff(ji-1,jj ) * zx1 + ff(ji,jj) * zx2 ) |
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[358] | 243 | END DO |
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| 244 | END DO |
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[508] | 245 | ! |
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[358] | 246 | ELSEIF ( ln_dynvor_ens ) THEN ! enstrophy conserving scheme |
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| 247 | DO jj = 2, jpjm1 |
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| 248 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[1502] | 249 | zy1 = z1_8 * ( zwy(ji ,jj-1) + zwy(ji+1,jj-1) + zwy(ji,jj) + zwy(ji+1,jj ) ) / e1u(ji,jj) |
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| 250 | zx1 = - z1_8 * ( zwx(ji-1,jj ) + zwx(ji-1,jj+1) + zwx(ji,jj) + zwx(ji ,jj+1) ) / e2v(ji,jj) |
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[358] | 251 | zcu(ji,jj) = zy1 * ( ff(ji ,jj-1) + ff(ji,jj) ) |
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| 252 | zcv(ji,jj) = zx1 * ( ff(ji-1,jj ) + ff(ji,jj) ) |
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| 253 | END DO |
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| 254 | END DO |
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[508] | 255 | ! |
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[358] | 256 | ELSEIF ( ln_dynvor_een ) THEN ! enstrophy and energy conserving scheme |
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| 257 | DO jj = 2, jpjm1 |
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| 258 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[1502] | 259 | zcu(ji,jj) = + z1_4 / e1u(ji,jj) * ( ftne(ji,jj ) * zwy(ji ,jj ) + ftnw(ji+1,jj) * zwy(ji+1,jj ) & |
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| 260 | & + ftse(ji,jj ) * zwy(ji ,jj-1) + ftsw(ji+1,jj) * zwy(ji+1,jj-1) ) |
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| 261 | zcv(ji,jj) = - z1_4 / e2v(ji,jj) * ( ftsw(ji,jj+1) * zwx(ji-1,jj+1) + ftse(ji,jj+1) * zwx(ji ,jj+1) & |
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| 262 | & + ftnw(ji,jj ) * zwx(ji-1,jj ) + ftne(ji,jj ) * zwx(ji ,jj ) ) |
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[358] | 263 | END DO |
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| 264 | END DO |
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[508] | 265 | ! |
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[358] | 266 | ENDIF |
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| 267 | |
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[1502] | 268 | ! !* Right-Hand-Side of the barotropic momentum equation |
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| 269 | ! ! ---------------------------------------------------- |
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| 270 | IF( lk_vvl ) THEN ! Variable volume : remove both Coriolis and Surface pressure gradient |
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| 271 | DO jj = 2, jpjm1 |
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[358] | 272 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[1502] | 273 | zcu(ji,jj) = zcu(ji,jj) - grav * ( ( rhd(ji+1,jj ,1) + 1 ) * sshn(ji+1,jj ) & |
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| 274 | & - ( rhd(ji ,jj ,1) + 1 ) * sshn(ji ,jj ) ) * hu(ji,jj) / e1u(ji,jj) |
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| 275 | zcv(ji,jj) = zcv(ji,jj) - grav * ( ( rhd(ji ,jj+1,1) + 1 ) * sshn(ji ,jj+1) & |
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| 276 | & - ( rhd(ji ,jj ,1) + 1 ) * sshn(ji ,jj ) ) * hv(ji,jj) / e2v(ji,jj) |
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[358] | 277 | END DO |
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| 278 | END DO |
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[1502] | 279 | ENDIF |
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[358] | 280 | |
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[1502] | 281 | DO jj = 2, jpjm1 ! Remove coriolis term (and possibly spg) from barotropic trend |
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[358] | 282 | DO ji = fs_2, fs_jpim1 |
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[3294] | 283 | zua(ji,jj) = zua(ji,jj) - zcu(ji,jj) |
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| 284 | zva(ji,jj) = zva(ji,jj) - zcv(ji,jj) |
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| 285 | END DO |
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[358] | 286 | END DO |
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| 287 | |
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[1708] | 288 | |
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| 289 | ! ! Remove barotropic contribution of bottom friction |
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| 290 | ! ! from the barotropic transport trend |
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[3294] | 291 | zcoef = -1._wp * z1_2dt_b |
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| 292 | |
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| 293 | IF(ln_bfrimp) THEN |
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| 294 | ! ! Remove the bottom stress trend from 3-D sea surface level gradient |
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| 295 | ! ! and Coriolis forcing in case of 3D semi-implicit bottom friction |
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| 296 | DO jj = 2, jpjm1 |
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| 297 | DO ji = fs_2, fs_jpim1 |
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| 298 | ikbu = mbku(ji,jj) |
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| 299 | ikbv = mbkv(ji,jj) |
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| 300 | ua_btm = zcu(ji,jj) * z2dt_bf * hur(ji,jj) * umask (ji,jj,ikbu) |
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| 301 | va_btm = zcv(ji,jj) * z2dt_bf * hvr(ji,jj) * vmask (ji,jj,ikbv) |
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| 302 | |
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| 303 | zua(ji,jj) = zua(ji,jj) - bfrua(ji,jj) * ua_btm |
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| 304 | zva(ji,jj) = zva(ji,jj) - bfrva(ji,jj) * va_btm |
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| 305 | END DO |
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| 306 | END DO |
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| 307 | |
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| 308 | ELSE |
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| 309 | |
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[1708] | 310 | # if defined key_vectopt_loop |
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[3294] | 311 | DO jj = 1, 1 |
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| 312 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
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[1708] | 313 | # else |
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[3294] | 314 | DO jj = 2, jpjm1 |
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| 315 | DO ji = 2, jpim1 |
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[1708] | 316 | # endif |
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| 317 | ! Apply stability criteria for bottom friction |
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[2528] | 318 | !RBbug for vvl and external mode we may need to use varying fse3 |
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| 319 | !!gm Rq: the bottom e3 present the smallest variation, the use of e3u_0 is not a big approx. |
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[3294] | 320 | zbfru(ji,jj) = MAX( bfrua(ji,jj) , fse3u(ji,jj,mbku(ji,jj)) * zcoef ) |
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| 321 | zbfrv(ji,jj) = MAX( bfrva(ji,jj) , fse3v(ji,jj,mbkv(ji,jj)) * zcoef ) |
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| 322 | END DO |
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| 323 | END DO |
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[1708] | 324 | |
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[3294] | 325 | IF( lk_vvl ) THEN |
---|
| 326 | DO jj = 2, jpjm1 |
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| 327 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 328 | zua(ji,jj) = zua(ji,jj) - zbfru(ji,jj) * ub_b(ji,jj) & |
---|
| 329 | & / ( hu_0(ji,jj) + sshu_b(ji,jj) + 1._wp - umask(ji,jj,1) ) |
---|
| 330 | zva(ji,jj) = zva(ji,jj) - zbfrv(ji,jj) * vb_b(ji,jj) & |
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| 331 | & / ( hv_0(ji,jj) + sshv_b(ji,jj) + 1._wp - vmask(ji,jj,1) ) |
---|
| 332 | END DO |
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| 333 | END DO |
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| 334 | ELSE |
---|
| 335 | DO jj = 2, jpjm1 |
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| 336 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 337 | zua(ji,jj) = zua(ji,jj) - zbfru(ji,jj) * ub_b(ji,jj) * hur(ji,jj) |
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| 338 | zva(ji,jj) = zva(ji,jj) - zbfrv(ji,jj) * vb_b(ji,jj) * hvr(ji,jj) |
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| 339 | END DO |
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| 340 | END DO |
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| 341 | ENDIF |
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| 342 | END IF ! end (ln_bfrimp) |
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[1662] | 343 | |
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[3294] | 344 | |
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[1502] | 345 | ! !* d/dt(Ua), Ub, Vn (Vertical mean velocity) |
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| 346 | ! ! -------------------------- |
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| 347 | zua(:,:) = zua(:,:) * hur(:,:) |
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| 348 | zva(:,:) = zva(:,:) * hvr(:,:) |
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| 349 | ! |
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[2724] | 350 | IF( lk_vvl ) THEN |
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[3294] | 351 | ub_b(:,:) = ub_b(:,:) * umask(:,:,1) / ( hu_0(:,:) + sshu_b(:,:) + 1._wp - umask(:,:,1) ) |
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| 352 | vb_b(:,:) = vb_b(:,:) * vmask(:,:,1) / ( hv_0(:,:) + sshv_b(:,:) + 1._wp - vmask(:,:,1) ) |
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[2724] | 353 | ELSE |
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| 354 | ub_b(:,:) = ub_b(:,:) * hur(:,:) |
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| 355 | vb_b(:,:) = vb_b(:,:) * hvr(:,:) |
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| 356 | ENDIF |
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[1502] | 357 | |
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[358] | 358 | ! ----------------------------------------------------------------------- |
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| 359 | ! Phase 2 : Integration of the barotropic equations with time splitting |
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| 360 | ! ----------------------------------------------------------------------- |
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[1502] | 361 | ! |
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| 362 | ! ! ==================== ! |
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| 363 | ! ! Initialisations ! |
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| 364 | ! ! ==================== ! |
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| 365 | icycle = 2 * nn_baro ! Number of barotropic sub time-step |
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| 366 | |
---|
| 367 | ! ! Start from NOW field |
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| 368 | hu_e (:,:) = hu (:,:) ! ocean depth at u- and v-points |
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| 369 | hv_e (:,:) = hv (:,:) |
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| 370 | hur_e (:,:) = hur (:,:) ! ocean depth inverted at u- and v-points |
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| 371 | hvr_e (:,:) = hvr (:,:) |
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[1662] | 372 | !RBbug zsshb_e(:,:) = sshn (:,:) |
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| 373 | zsshb_e(:,:) = sshn_b(:,:) ! sea surface height (before and now) |
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[1502] | 374 | sshn_e (:,:) = sshn (:,:) |
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| 375 | |
---|
| 376 | zun_e (:,:) = un_b (:,:) ! barotropic velocity (external) |
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| 377 | zvn_e (:,:) = vn_b (:,:) |
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| 378 | zub_e (:,:) = un_b (:,:) |
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| 379 | zvb_e (:,:) = vn_b (:,:) |
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[358] | 380 | |
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[1502] | 381 | zu_sum (:,:) = un_b (:,:) ! summation |
---|
| 382 | zv_sum (:,:) = vn_b (:,:) |
---|
| 383 | zssh_sum(:,:) = sshn (:,:) |
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[358] | 384 | |
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[1502] | 385 | #if defined key_obc |
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[367] | 386 | ! set ssh corrections to 0 |
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| 387 | ! ssh corrections are applied to normal velocities (Flather's algorithm) and averaged over the barotropic loop |
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[3294] | 388 | IF( lp_obc_east ) sshfoe_b(:,:) = 0._wp |
---|
| 389 | IF( lp_obc_west ) sshfow_b(:,:) = 0._wp |
---|
| 390 | IF( lp_obc_south ) sshfos_b(:,:) = 0._wp |
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| 391 | IF( lp_obc_north ) sshfon_b(:,:) = 0._wp |
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[367] | 392 | #endif |
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| 393 | |
---|
[1502] | 394 | ! ! ==================== ! |
---|
| 395 | DO jn = 1, icycle ! sub-time-step loop ! (from NOW to AFTER+1) |
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| 396 | ! ! ==================== ! |
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[1241] | 397 | z2dt_e = 2. * ( rdt / nn_baro ) |
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[1502] | 398 | IF( jn == 1 ) z2dt_e = rdt / nn_baro |
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[358] | 399 | |
---|
[3294] | 400 | ! !* Update the forcing (BDY and tides) |
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[1502] | 401 | ! ! ------------------ |
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[2528] | 402 | IF( lk_obc ) CALL obc_dta_bt ( kt, jn ) |
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[3294] | 403 | IF( lk_bdy ) CALL bdy_dta ( kt, jit=jn, time_offset=+1 ) |
---|
[3651] | 404 | IF ( ln_tide_pot .AND. lk_tide) CALL upd_tide( kt, jn ) |
---|
[367] | 405 | |
---|
[1502] | 406 | ! !* after ssh_e |
---|
| 407 | ! ! ----------- |
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[3294] | 408 | DO jj = 2, jpjm1 ! Horizontal divergence of barotropic transports |
---|
[358] | 409 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[1502] | 410 | zhdiv(ji,jj) = ( e2u(ji ,jj) * zun_e(ji ,jj) * hu_e(ji ,jj) & |
---|
| 411 | & - e2u(ji-1,jj) * zun_e(ji-1,jj) * hu_e(ji-1,jj) & |
---|
| 412 | & + e1v(ji,jj ) * zvn_e(ji,jj ) * hv_e(ji,jj ) & |
---|
| 413 | & - e1v(ji,jj-1) * zvn_e(ji,jj-1) * hv_e(ji,jj-1) ) / ( e1t(ji,jj) * e2t(ji,jj) ) |
---|
[358] | 414 | END DO |
---|
| 415 | END DO |
---|
[1502] | 416 | ! |
---|
[358] | 417 | #if defined key_obc |
---|
[1502] | 418 | ! ! OBC : zhdiv must be zero behind the open boundary |
---|
| 419 | !! mpp remark: The zeroing of hdiv can probably be extended to 1->jpi/jpj for the correct row/column |
---|
[3294] | 420 | IF( lp_obc_east ) zhdiv(nie0p1:nie1p1,nje0 :nje1 ) = 0._wp ! east |
---|
| 421 | IF( lp_obc_west ) zhdiv(niw0 :niw1 ,njw0 :njw1 ) = 0._wp ! west |
---|
| 422 | IF( lp_obc_north ) zhdiv(nin0 :nin1 ,njn0p1:njn1p1) = 0._wp ! north |
---|
| 423 | IF( lp_obc_south ) zhdiv(nis0 :nis1 ,njs0 :njs1 ) = 0._wp ! south |
---|
[358] | 424 | #endif |
---|
[1170] | 425 | #if defined key_bdy |
---|
[1502] | 426 | zhdiv(:,:) = zhdiv(:,:) * bdytmask(:,:) ! BDY mask |
---|
[1170] | 427 | #endif |
---|
[1502] | 428 | ! |
---|
| 429 | DO jj = 2, jpjm1 ! leap-frog on ssh_e |
---|
[358] | 430 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[2528] | 431 | ssha_e(ji,jj) = ( zsshb_e(ji,jj) - z2dt_e * ( zraur * ( emp(ji,jj)-rnf(ji,jj) ) + zhdiv(ji,jj) ) ) * tmask(ji,jj,1) |
---|
[358] | 432 | END DO |
---|
| 433 | END DO |
---|
| 434 | |
---|
[1502] | 435 | ! !* after barotropic velocities (vorticity scheme dependent) |
---|
| 436 | ! ! --------------------------- |
---|
[3294] | 437 | zwx(:,:) = e2u(:,:) * zun_e(:,:) * hu_e(:,:) ! now_e transport |
---|
[1502] | 438 | zwy(:,:) = e1v(:,:) * zvn_e(:,:) * hv_e(:,:) |
---|
| 439 | ! |
---|
| 440 | IF( ln_dynvor_ene .OR. ln_dynvor_mix ) THEN !== energy conserving or mixed scheme ==! |
---|
[358] | 441 | DO jj = 2, jpjm1 |
---|
| 442 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 443 | ! surface pressure gradient |
---|
[592] | 444 | IF( lk_vvl) THEN |
---|
[1662] | 445 | zu_spg = -grav * ( ( rhd(ji+1,jj ,1) + 1 ) * sshn_e(ji+1,jj ) & |
---|
| 446 | & - ( rhd(ji ,jj ,1) + 1 ) * sshn_e(ji ,jj ) ) / e1u(ji,jj) |
---|
| 447 | zv_spg = -grav * ( ( rhd(ji ,jj+1,1) + 1 ) * sshn_e(ji ,jj+1) & |
---|
| 448 | & - ( rhd(ji ,jj ,1) + 1 ) * sshn_e(ji ,jj ) ) / e2v(ji,jj) |
---|
[592] | 449 | ELSE |
---|
[1662] | 450 | zu_spg = -grav * ( sshn_e(ji+1,jj) - sshn_e(ji,jj) ) / e1u(ji,jj) |
---|
| 451 | zv_spg = -grav * ( sshn_e(ji,jj+1) - sshn_e(ji,jj) ) / e2v(ji,jj) |
---|
[592] | 452 | ENDIF |
---|
[3294] | 453 | ! add tidal astronomical forcing |
---|
[3651] | 454 | IF ( ln_tide_pot .AND. lk_tide ) THEN |
---|
[3294] | 455 | zu_spg = zu_spg + grav * ( pot_astro(ji+1,jj) - pot_astro(ji,jj) ) / e1u(ji,jj) |
---|
| 456 | zv_spg = zv_spg + grav * ( pot_astro(ji,jj+1) - pot_astro(ji,jj) ) / e2v(ji,jj) |
---|
| 457 | ENDIF |
---|
[358] | 458 | ! energy conserving formulation for planetary vorticity term |
---|
| 459 | zy1 = ( zwy(ji ,jj-1) + zwy(ji+1,jj-1) ) / e1u(ji,jj) |
---|
| 460 | zy2 = ( zwy(ji ,jj ) + zwy(ji+1,jj ) ) / e1u(ji,jj) |
---|
| 461 | zx1 = ( zwx(ji-1,jj ) + zwx(ji-1,jj+1) ) / e2v(ji,jj) |
---|
| 462 | zx2 = ( zwx(ji ,jj ) + zwx(ji ,jj+1) ) / e2v(ji,jj) |
---|
[1662] | 463 | zu_cor = z1_4 * ( ff(ji ,jj-1) * zy1 + ff(ji,jj) * zy2 ) * hur_e(ji,jj) |
---|
| 464 | zv_cor =-z1_4 * ( ff(ji-1,jj ) * zx1 + ff(ji,jj) * zx2 ) * hvr_e(ji,jj) |
---|
| 465 | ! after velocities with implicit bottom friction |
---|
[3294] | 466 | |
---|
| 467 | IF( ln_bfrimp ) THEN ! implicit bottom friction |
---|
| 468 | ! A new method to implement the implicit bottom friction. |
---|
| 469 | ! H. Liu |
---|
| 470 | ! Sept 2011 |
---|
| 471 | ua_e(ji,jj) = umask(ji,jj,1) * ( zub_e(ji,jj) + & |
---|
| 472 | & z2dt_e * ( zu_cor + zu_spg + zu_sld + zu_asp ) & |
---|
| 473 | & / ( 1._wp - z2dt_e * bfrua(ji,jj) * hur_e(ji,jj) ) ) |
---|
| 474 | ua_e(ji,jj) = ( ua_e(ji,jj) + z2dt_e * zua(ji,jj) ) * umask(ji,jj,1) |
---|
| 475 | ! |
---|
| 476 | va_e(ji,jj) = vmask(ji,jj,1) * ( zvb_e(ji,jj) + & |
---|
| 477 | & z2dt_e * ( zv_cor + zv_spg + zv_sld + zv_asp ) & |
---|
| 478 | & / ( 1._wp - z2dt_e * bfrva(ji,jj) * hvr_e(ji,jj) ) ) |
---|
| 479 | va_e(ji,jj) = ( va_e(ji,jj) + z2dt_e * zva(ji,jj) ) * vmask(ji,jj,1) |
---|
| 480 | ! |
---|
| 481 | ELSE |
---|
| 482 | ua_e(ji,jj) = ( zub_e(ji,jj) + z2dt_e * ( zu_cor + zu_spg + zu_sld + zu_asp + zua(ji,jj))) * umask(ji,jj,1) & |
---|
| 483 | & / ( 1._wp - z2dt_e * bfrua(ji,jj) * hur_e(ji,jj) ) |
---|
| 484 | va_e(ji,jj) = ( zvb_e(ji,jj) + z2dt_e * ( zv_cor + zv_spg + zv_sld + zv_asp + zva(ji,jj))) * vmask(ji,jj,1) & |
---|
| 485 | & / ( 1._wp - z2dt_e * bfrva(ji,jj) * hvr_e(ji,jj) ) |
---|
| 486 | ENDIF |
---|
[358] | 487 | END DO |
---|
| 488 | END DO |
---|
[508] | 489 | ! |
---|
[1502] | 490 | ELSEIF ( ln_dynvor_ens ) THEN !== enstrophy conserving scheme ==! |
---|
[358] | 491 | DO jj = 2, jpjm1 |
---|
| 492 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[1502] | 493 | ! surface pressure gradient |
---|
[592] | 494 | IF( lk_vvl) THEN |
---|
[1662] | 495 | zu_spg = -grav * ( ( rhd(ji+1,jj ,1) + 1 ) * sshn_e(ji+1,jj ) & |
---|
| 496 | & - ( rhd(ji ,jj ,1) + 1 ) * sshn_e(ji ,jj ) ) / e1u(ji,jj) |
---|
| 497 | zv_spg = -grav * ( ( rhd(ji ,jj+1,1) + 1 ) * sshn_e(ji ,jj+1) & |
---|
| 498 | & - ( rhd(ji ,jj ,1) + 1 ) * sshn_e(ji ,jj ) ) / e2v(ji,jj) |
---|
[592] | 499 | ELSE |
---|
[1662] | 500 | zu_spg = -grav * ( sshn_e(ji+1,jj) - sshn_e(ji,jj) ) / e1u(ji,jj) |
---|
| 501 | zv_spg = -grav * ( sshn_e(ji,jj+1) - sshn_e(ji,jj) ) / e2v(ji,jj) |
---|
[592] | 502 | ENDIF |
---|
[3294] | 503 | ! add tidal astronomical forcing |
---|
[3651] | 504 | IF ( ln_tide_pot .AND. lk_tide ) THEN |
---|
[3294] | 505 | zu_spg = zu_spg + grav * ( pot_astro(ji+1,jj) - pot_astro(ji,jj) ) / e1u(ji,jj) |
---|
| 506 | zv_spg = zv_spg + grav * ( pot_astro(ji,jj+1) - pot_astro(ji,jj) ) / e2v(ji,jj) |
---|
| 507 | ENDIF |
---|
[358] | 508 | ! enstrophy conserving formulation for planetary vorticity term |
---|
[1502] | 509 | zy1 = z1_8 * ( zwy(ji ,jj-1) + zwy(ji+1,jj-1) + zwy(ji,jj) + zwy(ji+1,jj ) ) / e1u(ji,jj) |
---|
| 510 | zx1 = - z1_8 * ( zwx(ji-1,jj ) + zwx(ji-1,jj+1) + zwx(ji,jj) + zwx(ji ,jj+1) ) / e2v(ji,jj) |
---|
[1662] | 511 | zu_cor = zy1 * ( ff(ji ,jj-1) + ff(ji,jj) ) * hur_e(ji,jj) |
---|
| 512 | zv_cor = zx1 * ( ff(ji-1,jj ) + ff(ji,jj) ) * hvr_e(ji,jj) |
---|
| 513 | ! after velocities with implicit bottom friction |
---|
[3294] | 514 | IF( ln_bfrimp ) THEN |
---|
| 515 | ! A new method to implement the implicit bottom friction. |
---|
| 516 | ! H. Liu |
---|
| 517 | ! Sept 2011 |
---|
| 518 | ua_e(ji,jj) = umask(ji,jj,1) * ( zub_e(ji,jj) + & |
---|
| 519 | & z2dt_e * ( zu_cor + zu_spg + zu_sld + zu_asp ) & |
---|
| 520 | & / ( 1._wp - z2dt_e * bfrua(ji,jj) * hur_e(ji,jj) ) ) |
---|
| 521 | ua_e(ji,jj) = ( ua_e(ji,jj) + z2dt_e * zua(ji,jj) ) * umask(ji,jj,1) |
---|
| 522 | ! |
---|
| 523 | va_e(ji,jj) = vmask(ji,jj,1) * ( zvb_e(ji,jj) + & |
---|
| 524 | & z2dt_e * ( zv_cor + zv_spg + zv_sld + zv_asp ) & |
---|
| 525 | & / ( 1._wp - z2dt_e * bfrva(ji,jj) * hvr_e(ji,jj) ) ) |
---|
| 526 | va_e(ji,jj) = ( va_e(ji,jj) + z2dt_e * zva(ji,jj) ) * vmask(ji,jj,1) |
---|
| 527 | ! |
---|
| 528 | ELSE |
---|
| 529 | ua_e(ji,jj) = ( zub_e(ji,jj) + z2dt_e * ( zu_cor + zu_spg + zu_sld + zu_asp + zua(ji,jj))) * umask(ji,jj,1) & |
---|
| 530 | & / ( 1._wp - z2dt_e * bfrua(ji,jj) * hur_e(ji,jj) ) |
---|
| 531 | va_e(ji,jj) = ( zvb_e(ji,jj) + z2dt_e * ( zv_cor + zv_spg + zv_sld + zv_asp + zva(ji,jj))) * vmask(ji,jj,1) & |
---|
| 532 | & / ( 1._wp - z2dt_e * bfrva(ji,jj) * hvr_e(ji,jj) ) |
---|
| 533 | ENDIF |
---|
[358] | 534 | END DO |
---|
| 535 | END DO |
---|
[508] | 536 | ! |
---|
[1502] | 537 | ELSEIF ( ln_dynvor_een ) THEN !== energy and enstrophy conserving scheme ==! |
---|
[358] | 538 | DO jj = 2, jpjm1 |
---|
| 539 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 540 | ! surface pressure gradient |
---|
[592] | 541 | IF( lk_vvl) THEN |
---|
[1662] | 542 | zu_spg = -grav * ( ( rhd(ji+1,jj ,1) + 1 ) * sshn_e(ji+1,jj ) & |
---|
| 543 | & - ( rhd(ji ,jj ,1) + 1 ) * sshn_e(ji ,jj ) ) / e1u(ji,jj) |
---|
| 544 | zv_spg = -grav * ( ( rhd(ji ,jj+1,1) + 1 ) * sshn_e(ji ,jj+1) & |
---|
| 545 | & - ( rhd(ji ,jj ,1) + 1 ) * sshn_e(ji ,jj ) ) / e2v(ji,jj) |
---|
[592] | 546 | ELSE |
---|
[1662] | 547 | zu_spg = -grav * ( sshn_e(ji+1,jj) - sshn_e(ji,jj) ) / e1u(ji,jj) |
---|
| 548 | zv_spg = -grav * ( sshn_e(ji,jj+1) - sshn_e(ji,jj) ) / e2v(ji,jj) |
---|
[592] | 549 | ENDIF |
---|
[3294] | 550 | ! add tidal astronomical forcing |
---|
[3651] | 551 | IF ( ln_tide_pot .AND. lk_tide ) THEN |
---|
[3294] | 552 | zu_spg = zu_spg + grav * ( pot_astro(ji+1,jj) - pot_astro(ji,jj) ) / e1u(ji,jj) |
---|
| 553 | zv_spg = zv_spg + grav * ( pot_astro(ji,jj+1) - pot_astro(ji,jj) ) / e2v(ji,jj) |
---|
| 554 | ENDIF |
---|
[358] | 555 | ! energy/enstrophy conserving formulation for planetary vorticity term |
---|
[1662] | 556 | zu_cor = + z1_4 / e1u(ji,jj) * ( ftne(ji,jj ) * zwy(ji ,jj ) + ftnw(ji+1,jj) * zwy(ji+1,jj ) & |
---|
[1502] | 557 | & + ftse(ji,jj ) * zwy(ji ,jj-1) + ftsw(ji+1,jj) * zwy(ji+1,jj-1) ) * hur_e(ji,jj) |
---|
[1662] | 558 | zv_cor = - z1_4 / e2v(ji,jj) * ( ftsw(ji,jj+1) * zwx(ji-1,jj+1) + ftse(ji,jj+1) * zwx(ji ,jj+1) & |
---|
[1502] | 559 | & + ftnw(ji,jj ) * zwx(ji-1,jj ) + ftne(ji,jj ) * zwx(ji ,jj ) ) * hvr_e(ji,jj) |
---|
[1662] | 560 | ! after velocities with implicit bottom friction |
---|
[3294] | 561 | IF( ln_bfrimp ) THEN |
---|
| 562 | ! A new method to implement the implicit bottom friction. |
---|
| 563 | ! H. Liu |
---|
| 564 | ! Sept 2011 |
---|
| 565 | ua_e(ji,jj) = umask(ji,jj,1) * ( zub_e(ji,jj) + & |
---|
| 566 | & z2dt_e * ( zu_cor + zu_spg + zu_sld + zu_asp ) & |
---|
| 567 | & / ( 1._wp - z2dt_e * bfrua(ji,jj) * hur_e(ji,jj) ) ) |
---|
| 568 | ua_e(ji,jj) = ( ua_e(ji,jj) + z2dt_e * zua(ji,jj) ) * umask(ji,jj,1) |
---|
| 569 | ! |
---|
| 570 | va_e(ji,jj) = vmask(ji,jj,1) * ( zvb_e(ji,jj) + & |
---|
| 571 | & z2dt_e * ( zv_cor + zv_spg + zv_sld + zv_asp ) & |
---|
| 572 | & / ( 1._wp - z2dt_e * bfrva(ji,jj) * hvr_e(ji,jj) ) ) |
---|
| 573 | va_e(ji,jj) = ( va_e(ji,jj) + z2dt_e * zva(ji,jj) ) * vmask(ji,jj,1) |
---|
| 574 | ! |
---|
| 575 | ELSE |
---|
| 576 | ua_e(ji,jj) = ( zub_e(ji,jj) + z2dt_e * ( zu_cor + zu_spg + zu_sld + zu_asp + zua(ji,jj))) * umask(ji,jj,1) & |
---|
| 577 | & / ( 1._wp - z2dt_e * bfrua(ji,jj) * hur_e(ji,jj) ) |
---|
| 578 | va_e(ji,jj) = ( zvb_e(ji,jj) + z2dt_e * ( zv_cor + zv_spg + zv_sld + zv_asp + zva(ji,jj))) * vmask(ji,jj,1) & |
---|
| 579 | & / ( 1._wp - z2dt_e * bfrva(ji,jj) * hvr_e(ji,jj) ) |
---|
| 580 | ENDIF |
---|
[358] | 581 | END DO |
---|
| 582 | END DO |
---|
[508] | 583 | ! |
---|
[358] | 584 | ENDIF |
---|
[3294] | 585 | ! !* domain lateral boundary |
---|
| 586 | ! ! ----------------------- |
---|
[358] | 587 | |
---|
[3294] | 588 | ! OBC open boundaries |
---|
[2715] | 589 | IF( lk_obc ) CALL obc_fla_ts ( ua_e, va_e, sshn_e, ssha_e ) |
---|
[3294] | 590 | |
---|
| 591 | ! BDY open boundaries |
---|
| 592 | #if defined key_bdy |
---|
| 593 | pssh => sshn_e |
---|
| 594 | phur => hur_e |
---|
| 595 | phvr => hvr_e |
---|
| 596 | pu2d => ua_e |
---|
| 597 | pv2d => va_e |
---|
| 598 | |
---|
| 599 | IF( lk_bdy ) CALL bdy_dyn2d( kt ) |
---|
| 600 | #endif |
---|
| 601 | |
---|
[1502] | 602 | ! |
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| 603 | CALL lbc_lnk( ua_e , 'U', -1. ) ! local domain boundaries |
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| 604 | CALL lbc_lnk( va_e , 'V', -1. ) |
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| 605 | CALL lbc_lnk( ssha_e, 'T', 1. ) |
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[358] | 606 | |
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[1502] | 607 | zu_sum (:,:) = zu_sum (:,:) + ua_e (:,:) ! Sum over sub-time-steps |
---|
| 608 | zv_sum (:,:) = zv_sum (:,:) + va_e (:,:) |
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| 609 | zssh_sum(:,:) = zssh_sum(:,:) + ssha_e(:,:) |
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[367] | 610 | |
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[1502] | 611 | ! !* Time filter and swap |
---|
| 612 | ! ! -------------------- |
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| 613 | IF( jn == 1 ) THEN ! Swap only (1st Euler time step) |
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| 614 | zsshb_e(:,:) = sshn_e(:,:) |
---|
| 615 | zub_e (:,:) = zun_e (:,:) |
---|
| 616 | zvb_e (:,:) = zvn_e (:,:) |
---|
| 617 | sshn_e (:,:) = ssha_e(:,:) |
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| 618 | zun_e (:,:) = ua_e (:,:) |
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| 619 | zvn_e (:,:) = va_e (:,:) |
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| 620 | ELSE ! Swap + Filter |
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| 621 | zsshb_e(:,:) = atfp * ( zsshb_e(:,:) + ssha_e(:,:) ) + atfp1 * sshn_e(:,:) |
---|
| 622 | zub_e (:,:) = atfp * ( zub_e (:,:) + ua_e (:,:) ) + atfp1 * zun_e (:,:) |
---|
| 623 | zvb_e (:,:) = atfp * ( zvb_e (:,:) + va_e (:,:) ) + atfp1 * zvn_e (:,:) |
---|
| 624 | sshn_e (:,:) = ssha_e(:,:) |
---|
| 625 | zun_e (:,:) = ua_e (:,:) |
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| 626 | zvn_e (:,:) = va_e (:,:) |
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[358] | 627 | ENDIF |
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| 628 | |
---|
[1502] | 629 | IF( lk_vvl ) THEN !* Update ocean depth (variable volume case only) |
---|
| 630 | ! ! ------------------ |
---|
| 631 | DO jj = 1, jpjm1 ! Sea Surface Height at u- & v-points |
---|
| 632 | DO ji = 1, fs_jpim1 ! Vector opt. |
---|
[3294] | 633 | zsshun_e(ji,jj) = 0.5_wp * umask(ji,jj,1) / ( e1u(ji,jj) * e2u(ji,jj) ) & |
---|
| 634 | & * ( e1t(ji ,jj) * e2t(ji ,jj) * sshn_e(ji ,jj) & |
---|
| 635 | & + e1t(ji+1,jj) * e2t(ji+1,jj) * sshn_e(ji+1,jj) ) |
---|
| 636 | zsshvn_e(ji,jj) = 0.5_wp * vmask(ji,jj,1) / ( e1v(ji,jj) * e2v(ji,jj) ) & |
---|
| 637 | & * ( e1t(ji,jj ) * e2t(ji,jj ) * sshn_e(ji,jj ) & |
---|
| 638 | & + e1t(ji,jj+1) * e2t(ji,jj+1) * sshn_e(ji,jj+1) ) |
---|
[592] | 639 | END DO |
---|
| 640 | END DO |
---|
[1502] | 641 | CALL lbc_lnk( zsshun_e, 'U', 1. ) ! lateral boundaries conditions |
---|
| 642 | CALL lbc_lnk( zsshvn_e, 'V', 1. ) |
---|
[1438] | 643 | ! |
---|
[1502] | 644 | hu_e (:,:) = hu_0(:,:) + zsshun_e(:,:) ! Ocean depth at U- and V-points |
---|
| 645 | hv_e (:,:) = hv_0(:,:) + zsshvn_e(:,:) |
---|
[3294] | 646 | hur_e(:,:) = umask(:,:,1) / ( hu_e(:,:) + 1._wp - umask(:,:,1) ) |
---|
| 647 | hvr_e(:,:) = vmask(:,:,1) / ( hv_e(:,:) + 1._wp - vmask(:,:,1) ) |
---|
[1502] | 648 | ! |
---|
[1438] | 649 | ENDIF |
---|
[358] | 650 | ! ! ==================== ! |
---|
| 651 | END DO ! end loop ! |
---|
| 652 | ! ! ==================== ! |
---|
| 653 | |
---|
[367] | 654 | #if defined key_obc |
---|
[1502] | 655 | IF( lp_obc_east ) sshfoe_b(:,:) = zcoef * sshfoe_b(:,:) !!gm totally useless ????? |
---|
[1241] | 656 | IF( lp_obc_west ) sshfow_b(:,:) = zcoef * sshfow_b(:,:) |
---|
| 657 | IF( lp_obc_north ) sshfon_b(:,:) = zcoef * sshfon_b(:,:) |
---|
| 658 | IF( lp_obc_south ) sshfos_b(:,:) = zcoef * sshfos_b(:,:) |
---|
[367] | 659 | #endif |
---|
[358] | 660 | |
---|
[1438] | 661 | ! ----------------------------------------------------------------------------- |
---|
[1502] | 662 | ! Phase 3. update the general trend with the barotropic trend |
---|
[1438] | 663 | ! ----------------------------------------------------------------------------- |
---|
[1502] | 664 | ! |
---|
| 665 | ! !* Time average ==> after barotropic u, v, ssh |
---|
[3294] | 666 | zcoef = 1._wp / ( 2 * nn_baro + 1 ) |
---|
[2528] | 667 | zu_sum(:,:) = zcoef * zu_sum (:,:) |
---|
| 668 | zv_sum(:,:) = zcoef * zv_sum (:,:) |
---|
[1502] | 669 | ! |
---|
| 670 | ! !* update the general momentum trend |
---|
[358] | 671 | DO jk=1,jpkm1 |
---|
[3294] | 672 | ua(:,:,jk) = ua(:,:,jk) + ( zu_sum(:,:) - ub_b(:,:) ) * z1_2dt_b |
---|
| 673 | va(:,:,jk) = va(:,:,jk) + ( zv_sum(:,:) - vb_b(:,:) ) * z1_2dt_b |
---|
[358] | 674 | END DO |
---|
[2528] | 675 | un_b (:,:) = zu_sum(:,:) |
---|
| 676 | vn_b (:,:) = zv_sum(:,:) |
---|
| 677 | sshn_b(:,:) = zcoef * zssh_sum(:,:) |
---|
[1502] | 678 | ! |
---|
| 679 | ! !* write time-spliting arrays in the restart |
---|
[508] | 680 | IF( lrst_oce ) CALL ts_rst( kt, 'WRITE' ) |
---|
| 681 | ! |
---|
[3294] | 682 | CALL wrk_dealloc( jpi, jpj, zsshun_e, zsshvn_e, zsshb_e, zssh_sum, zhdiv ) |
---|
| 683 | CALL wrk_dealloc( jpi, jpj, zua, zva, zun, zvn, zun_e, zvn_e, zub_e, zvb_e ) |
---|
| 684 | CALL wrk_dealloc( jpi, jpj, zcu, zcv, zwx, zwy, zbfru, zbfrv, zu_sum, zv_sum ) |
---|
[1662] | 685 | ! |
---|
[3294] | 686 | IF( nn_timing == 1 ) CALL timing_stop('dyn_spg_ts') |
---|
[2715] | 687 | ! |
---|
[508] | 688 | END SUBROUTINE dyn_spg_ts |
---|
| 689 | |
---|
| 690 | |
---|
| 691 | SUBROUTINE ts_rst( kt, cdrw ) |
---|
| 692 | !!--------------------------------------------------------------------- |
---|
| 693 | !! *** ROUTINE ts_rst *** |
---|
| 694 | !! |
---|
| 695 | !! ** Purpose : Read or write time-splitting arrays in restart file |
---|
| 696 | !!---------------------------------------------------------------------- |
---|
| 697 | INTEGER , INTENT(in) :: kt ! ocean time-step |
---|
| 698 | CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag |
---|
| 699 | ! |
---|
| 700 | INTEGER :: ji, jk ! dummy loop indices |
---|
| 701 | !!---------------------------------------------------------------------- |
---|
| 702 | ! |
---|
| 703 | IF( TRIM(cdrw) == 'READ' ) THEN |
---|
[1502] | 704 | IF( iom_varid( numror, 'un_b', ldstop = .FALSE. ) > 0 ) THEN |
---|
| 705 | CALL iom_get( numror, jpdom_autoglo, 'un_b' , un_b (:,:) ) ! external velocity issued |
---|
| 706 | CALL iom_get( numror, jpdom_autoglo, 'vn_b' , vn_b (:,:) ) ! from barotropic loop |
---|
[508] | 707 | ELSE |
---|
[3294] | 708 | un_b (:,:) = 0._wp |
---|
| 709 | vn_b (:,:) = 0._wp |
---|
[508] | 710 | ! vertical sum |
---|
| 711 | IF( lk_vopt_loop ) THEN ! vector opt., forced unroll |
---|
| 712 | DO jk = 1, jpkm1 |
---|
| 713 | DO ji = 1, jpij |
---|
[1502] | 714 | un_b(ji,1) = un_b(ji,1) + fse3u(ji,1,jk) * un(ji,1,jk) |
---|
| 715 | vn_b(ji,1) = vn_b(ji,1) + fse3v(ji,1,jk) * vn(ji,1,jk) |
---|
[508] | 716 | END DO |
---|
| 717 | END DO |
---|
| 718 | ELSE ! No vector opt. |
---|
| 719 | DO jk = 1, jpkm1 |
---|
[1502] | 720 | un_b(:,:) = un_b(:,:) + fse3u(:,:,jk) * un(:,:,jk) |
---|
| 721 | vn_b(:,:) = vn_b(:,:) + fse3v(:,:,jk) * vn(:,:,jk) |
---|
[508] | 722 | END DO |
---|
| 723 | ENDIF |
---|
[1502] | 724 | un_b (:,:) = un_b(:,:) * hur(:,:) |
---|
| 725 | vn_b (:,:) = vn_b(:,:) * hvr(:,:) |
---|
[508] | 726 | ENDIF |
---|
[2528] | 727 | |
---|
| 728 | ! Vertically integrated velocity (before) |
---|
| 729 | IF (neuler/=0) THEN |
---|
[3294] | 730 | ub_b (:,:) = 0._wp |
---|
| 731 | vb_b (:,:) = 0._wp |
---|
[2528] | 732 | |
---|
| 733 | ! vertical sum |
---|
| 734 | IF( lk_vopt_loop ) THEN ! vector opt., forced unroll |
---|
| 735 | DO jk = 1, jpkm1 |
---|
| 736 | DO ji = 1, jpij |
---|
| 737 | ub_b(ji,1) = ub_b(ji,1) + fse3u_b(ji,1,jk) * ub(ji,1,jk) |
---|
| 738 | vb_b(ji,1) = vb_b(ji,1) + fse3v_b(ji,1,jk) * vb(ji,1,jk) |
---|
| 739 | END DO |
---|
| 740 | END DO |
---|
| 741 | ELSE ! No vector opt. |
---|
| 742 | DO jk = 1, jpkm1 |
---|
| 743 | ub_b(:,:) = ub_b(:,:) + fse3u_b(:,:,jk) * ub(:,:,jk) |
---|
| 744 | vb_b(:,:) = vb_b(:,:) + fse3v_b(:,:,jk) * vb(:,:,jk) |
---|
| 745 | END DO |
---|
| 746 | ENDIF |
---|
| 747 | |
---|
| 748 | IF( lk_vvl ) THEN |
---|
[3294] | 749 | ub_b (:,:) = ub_b(:,:) * umask(:,:,1) / ( hu_0(:,:) + sshu_b(:,:) + 1._wp - umask(:,:,1) ) |
---|
| 750 | vb_b (:,:) = vb_b(:,:) * vmask(:,:,1) / ( hv_0(:,:) + sshv_b(:,:) + 1._wp - vmask(:,:,1) ) |
---|
[2528] | 751 | ELSE |
---|
| 752 | ub_b(:,:) = ub_b(:,:) * hur(:,:) |
---|
| 753 | vb_b(:,:) = vb_b(:,:) * hvr(:,:) |
---|
| 754 | ENDIF |
---|
| 755 | ELSE ! neuler==0 |
---|
| 756 | ub_b (:,:) = un_b (:,:) |
---|
| 757 | vb_b (:,:) = vn_b (:,:) |
---|
| 758 | ENDIF |
---|
| 759 | |
---|
[2145] | 760 | IF( iom_varid( numror, 'sshn_b', ldstop = .FALSE. ) > 0 ) THEN |
---|
[2715] | 761 | CALL iom_get( numror, jpdom_autoglo, 'sshn_b' , sshn_b (:,:) ) ! filtered ssh |
---|
[2145] | 762 | ELSE |
---|
[2715] | 763 | sshn_b(:,:) = sshb(:,:) ! if not in restart set previous time mean to current baroclinic before value |
---|
[2145] | 764 | ENDIF |
---|
[508] | 765 | ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN |
---|
[2145] | 766 | CALL iom_rstput( kt, nitrst, numrow, 'un_b' , un_b (:,:) ) ! external velocity and ssh |
---|
| 767 | CALL iom_rstput( kt, nitrst, numrow, 'vn_b' , vn_b (:,:) ) ! issued from barotropic loop |
---|
| 768 | CALL iom_rstput( kt, nitrst, numrow, 'sshn_b' , sshn_b(:,:) ) ! |
---|
[358] | 769 | ENDIF |
---|
[508] | 770 | ! |
---|
| 771 | END SUBROUTINE ts_rst |
---|
| 772 | |
---|
[358] | 773 | #else |
---|
| 774 | !!---------------------------------------------------------------------- |
---|
| 775 | !! Default case : Empty module No standart free surface cst volume |
---|
| 776 | !!---------------------------------------------------------------------- |
---|
| 777 | CONTAINS |
---|
[2715] | 778 | INTEGER FUNCTION dyn_spg_ts_alloc() ! Dummy function |
---|
| 779 | dyn_spg_ts_alloc = 0 |
---|
| 780 | END FUNCTION dyn_spg_ts_alloc |
---|
| 781 | SUBROUTINE dyn_spg_ts( kt ) ! Empty routine |
---|
| 782 | INTEGER, INTENT(in) :: kt |
---|
[358] | 783 | WRITE(*,*) 'dyn_spg_ts: You should not have seen this print! error?', kt |
---|
| 784 | END SUBROUTINE dyn_spg_ts |
---|
[2715] | 785 | SUBROUTINE ts_rst( kt, cdrw ) ! Empty routine |
---|
[657] | 786 | INTEGER , INTENT(in) :: kt ! ocean time-step |
---|
| 787 | CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag |
---|
| 788 | WRITE(*,*) 'ts_rst : You should not have seen this print! error?', kt, cdrw |
---|
| 789 | END SUBROUTINE ts_rst |
---|
[358] | 790 | #endif |
---|
| 791 | |
---|
| 792 | !!====================================================================== |
---|
| 793 | END MODULE dynspg_ts |
---|