[358] | 1 | MODULE dynspg_ts |
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| 2 | !!====================================================================== |
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[6004] | 3 | !! *** MODULE dynspg_ts *** |
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| 4 | !! Ocean dynamics: surface pressure gradient trend, split-explicit scheme |
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| 5 | !!====================================================================== |
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[1502] | 6 | !! History : 1.0 ! 2004-12 (L. Bessieres, G. Madec) Original code |
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| 7 | !! - ! 2005-11 (V. Garnier, G. Madec) optimization |
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| 8 | !! - ! 2006-08 (S. Masson) distributed restart using iom |
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| 9 | !! 2.0 ! 2007-07 (D. Storkey) calls to BDY routines |
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| 10 | !! - ! 2008-01 (R. Benshila) change averaging method |
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| 11 | !! 3.2 ! 2009-07 (R. Benshila, G. Madec) Complete revisit associated to vvl reactivation |
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[2528] | 12 | !! 3.3 ! 2010-09 (D. Storkey, E. O'Dea) update for BDY for Shelf configurations |
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[2724] | 13 | !! 3.3 ! 2011-03 (R. Benshila, R. Hordoir, P. Oddo) update calculation of ub_b |
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[4292] | 14 | !! 3.5 ! 2013-07 (J. Chanut) Switch to Forward-backward time stepping |
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| 15 | !! 3.6 ! 2013-11 (A. Coward) Update for z-tilde compatibility |
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[6004] | 16 | !! 3.7 ! 2015-11 (J. Chanut) free surface simplification |
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[2724] | 17 | !!--------------------------------------------------------------------- |
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[6004] | 18 | |
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[358] | 19 | !!---------------------------------------------------------------------- |
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[6004] | 20 | !! dyn_spg_ts : compute surface pressure gradient trend using a time-splitting scheme |
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| 21 | !! dyn_spg_ts_init: initialisation of the time-splitting scheme |
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| 22 | !! ts_wgt : set time-splitting weights for temporal averaging (or not) |
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| 23 | !! ts_rst : read/write time-splitting fields in restart file |
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[358] | 24 | !!---------------------------------------------------------------------- |
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| 25 | USE oce ! ocean dynamics and tracers |
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| 26 | USE dom_oce ! ocean space and time domain |
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[888] | 27 | USE sbc_oce ! surface boundary condition: ocean |
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[6004] | 28 | USE zdf_oce ! Bottom friction coefts |
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[5120] | 29 | USE sbcisf ! ice shelf variable (fwfisf) |
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[6004] | 30 | USE sbcapr ! surface boundary condition: atmospheric pressure |
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| 31 | USE dynadv , ONLY: ln_dynadv_vec |
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[358] | 32 | USE phycst ! physical constants |
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| 33 | USE dynvor ! vorticity term |
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[3294] | 34 | USE bdy_par ! for lk_bdy |
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[6004] | 35 | USE bdytides ! open boundary condition data |
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[3294] | 36 | USE bdydyn2d ! open boundary conditions on barotropic variables |
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[4292] | 37 | USE sbctide ! tides |
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| 38 | USE updtide ! tide potential |
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[6004] | 39 | ! |
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| 40 | USE in_out_manager ! I/O manager |
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[358] | 41 | USE lib_mpp ! distributed memory computing library |
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| 42 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 43 | USE prtctl ! Print control |
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[2715] | 44 | USE iom ! IOM library |
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[4292] | 45 | USE restart ! only for lrst_oce |
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[3294] | 46 | USE wrk_nemo ! Memory Allocation |
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[4292] | 47 | USE timing ! Timing |
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| 48 | #if defined key_agrif |
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| 49 | USE agrif_opa_interp ! agrif |
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| 50 | #endif |
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[4757] | 51 | #if defined key_asminc |
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| 52 | USE asminc ! Assimilation increment |
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| 53 | #endif |
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[358] | 54 | |
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| 55 | IMPLICIT NONE |
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| 56 | PRIVATE |
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| 57 | |
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[4292] | 58 | PUBLIC dyn_spg_ts ! routine called in dynspg.F90 |
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| 59 | PUBLIC dyn_spg_ts_alloc ! " " " " |
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| 60 | PUBLIC dyn_spg_ts_init ! " " " " |
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[4496] | 61 | PUBLIC ts_rst ! " " " " |
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[358] | 62 | |
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[4292] | 63 | INTEGER, SAVE :: icycle ! Number of barotropic sub-steps for each internal step nn_baro <= 2.5 nn_baro |
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| 64 | REAL(wp),SAVE :: rdtbt ! Barotropic time step |
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| 65 | |
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[6004] | 66 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:) :: wgtbtp1, wgtbtp2 !: 1st & 2nd weights used in time filtering of barotropic fields |
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[4292] | 67 | |
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[6004] | 68 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: zwz !: ff/h at F points |
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| 69 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: ftnw, ftne !: triad of coriolis parameter |
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| 70 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: ftsw, ftse !: (only used with een vorticity scheme) |
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[508] | 71 | |
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[6004] | 72 | !! Time filtered arrays at baroclinic time step: |
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| 73 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: un_adv , vn_adv !: Advection vel. at "now" barocl. step |
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| 74 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: ub2_b , vb2_b !: Half step fluxes (ln_bt_fw=T) |
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| 75 | #if defined key_agrif |
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| 76 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: ub2_i_b, vb2_i_b !: Half step time integrated fluxes |
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| 77 | #endif |
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[1502] | 78 | |
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[6004] | 79 | !! Arrays at barotropic time step: ! bef before ! before ! now ! after ! |
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| 80 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: ubb_e , ub_e , un_e , ua_e !: u-external velocity |
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| 81 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: vbb_e , vb_e , vn_e , va_e !: v-external velocity |
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| 82 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: sshbb_e , sshb_e , sshn_e , ssha_e !: external ssh |
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| 83 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hu_e !: external u-depth |
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| 84 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hv_e !: external v-depth |
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| 85 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hur_e !: inverse of u-depth |
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| 86 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hvr_e !: inverse of v-depth |
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| 87 | |
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[358] | 88 | !! * Substitutions |
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| 89 | # include "vectopt_loop_substitute.h90" |
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[2715] | 90 | !!---------------------------------------------------------------------- |
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[4292] | 91 | !! NEMO/OPA 3.5 , NEMO Consortium (2013) |
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[5217] | 92 | !! $Id$ |
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[2715] | 93 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 94 | !!---------------------------------------------------------------------- |
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[358] | 95 | CONTAINS |
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| 96 | |
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[2715] | 97 | INTEGER FUNCTION dyn_spg_ts_alloc() |
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| 98 | !!---------------------------------------------------------------------- |
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| 99 | !! *** routine dyn_spg_ts_alloc *** |
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| 100 | !!---------------------------------------------------------------------- |
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[6004] | 101 | INTEGER :: ierr(5) |
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[4292] | 102 | !!---------------------------------------------------------------------- |
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| 103 | ierr(:) = 0 |
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[5845] | 104 | ! |
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[6004] | 105 | ALLOCATE( ssha_e(jpi,jpj), sshn_e(jpi,jpj), sshb_e(jpi,jpj), sshbb_e(jpi,jpj), & |
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| 106 | & ua_e(jpi,jpj), un_e(jpi,jpj), ub_e(jpi,jpj), ubb_e(jpi,jpj), & |
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| 107 | & va_e(jpi,jpj), vn_e(jpi,jpj), vb_e(jpi,jpj), vbb_e(jpi,jpj), & |
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| 108 | & hu_e(jpi,jpj), hur_e(jpi,jpj), hv_e(jpi,jpj), hvr_e(jpi,jpj), STAT=ierr(1) ) |
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[5845] | 109 | ! |
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[6004] | 110 | ALLOCATE( wgtbtp1(3*nn_baro), wgtbtp2(3*nn_baro), zwz(jpi,jpj) , STAT=ierr(2) ) |
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[5845] | 111 | ! |
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[6004] | 112 | IF( ln_dynvor_een ) ALLOCATE( ftnw(jpi,jpj) , ftne(jpi,jpj) , & |
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| 113 | & ftsw(jpi,jpj) , ftse(jpi,jpj) , STAT=ierr(3) ) |
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| 114 | ! |
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| 115 | ALLOCATE( ub2_b(jpi,jpj), vb2_b(jpi,jpj), un_adv(jpi,jpj), vn_adv(jpi,jpj) , STAT=ierr(4) ) |
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| 116 | #if defined key_agrif |
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| 117 | ALLOCATE( ub2_i_b(jpi,jpj), vb2_i_b(jpi,jpj) , STAT= ierr(5)) |
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| 118 | #endif |
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[5845] | 119 | ! |
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| 120 | dyn_spg_ts_alloc = MAXVAL( ierr(:) ) |
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[6004] | 121 | ! |
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[2715] | 122 | IF( lk_mpp ) CALL mpp_sum( dyn_spg_ts_alloc ) |
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[6004] | 123 | IF( dyn_spg_ts_alloc /= 0 ) CALL ctl_warn('dyn_spg_ts_alloc: failed to allocate arrays') |
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[2715] | 124 | ! |
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| 125 | END FUNCTION dyn_spg_ts_alloc |
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| 126 | |
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[5836] | 127 | |
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[358] | 128 | SUBROUTINE dyn_spg_ts( kt ) |
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| 129 | !!---------------------------------------------------------------------- |
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| 130 | !! |
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[6004] | 131 | !! ** Purpose : - Compute the now trend due to the explicit time stepping |
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| 132 | !! of the quasi-linear barotropic system, and add it to the |
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| 133 | !! general momentum trend. |
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[358] | 134 | !! |
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[6004] | 135 | !! ** Method : - split-explicit schem (time splitting) : |
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[4374] | 136 | !! Barotropic variables are advanced from internal time steps |
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| 137 | !! "n" to "n+1" if ln_bt_fw=T |
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| 138 | !! or from |
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| 139 | !! "n-1" to "n+1" if ln_bt_fw=F |
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| 140 | !! thanks to a generalized forward-backward time stepping (see ref. below). |
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[358] | 141 | !! |
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[4374] | 142 | !! ** Action : |
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| 143 | !! -Update the filtered free surface at step "n+1" : ssha |
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| 144 | !! -Update filtered barotropic velocities at step "n+1" : ua_b, va_b |
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| 145 | !! -Compute barotropic advective velocities at step "n" : un_adv, vn_adv |
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| 146 | !! These are used to advect tracers and are compliant with discrete |
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| 147 | !! continuity equation taken at the baroclinic time steps. This |
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| 148 | !! ensures tracers conservation. |
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[6004] | 149 | !! - (ua, va) momentum trend updated with barotropic component. |
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[358] | 150 | !! |
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[6004] | 151 | !! References : Shchepetkin and McWilliams, Ocean Modelling, 2005. |
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[358] | 152 | !!--------------------------------------------------------------------- |
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[1502] | 153 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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[2715] | 154 | ! |
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[5845] | 155 | LOGICAL :: ll_fw_start ! if true, forward integration |
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| 156 | LOGICAL :: ll_init ! if true, special startup of 2d equations |
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| 157 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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| 158 | INTEGER :: ikbu, ikbv, noffset ! local integers |
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| 159 | REAL(wp) :: zraur, z1_2dt_b, z2dt_bf ! local scalars |
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[4374] | 160 | REAL(wp) :: zx1, zy1, zx2, zy2 ! - - |
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| 161 | REAL(wp) :: z1_12, z1_8, z1_4, z1_2 ! - - |
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[4486] | 162 | REAL(wp) :: zu_spg, zv_spg ! - - |
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[4374] | 163 | REAL(wp) :: zhura, zhvra ! - - |
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[5845] | 164 | REAL(wp) :: za0, za1, za2, za3 ! - - |
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[3294] | 165 | ! |
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[6004] | 166 | REAL(wp), POINTER, DIMENSION(:,:) :: zsshp2_e |
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| 167 | REAL(wp), POINTER, DIMENSION(:,:) :: zu_trd, zv_trd, zu_frc, zv_frc, zssh_frc |
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| 168 | REAL(wp), POINTER, DIMENSION(:,:) :: zwx, zwy, zhdiv |
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| 169 | REAL(wp), POINTER, DIMENSION(:,:) :: zhup2_e, zhvp2_e, zhust_e, zhvst_e |
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| 170 | REAL(wp), POINTER, DIMENSION(:,:) :: zsshu_a, zsshv_a |
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| 171 | REAL(wp), POINTER, DIMENSION(:,:) :: zhf |
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[358] | 172 | !!---------------------------------------------------------------------- |
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[3294] | 173 | ! |
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| 174 | IF( nn_timing == 1 ) CALL timing_start('dyn_spg_ts') |
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| 175 | ! |
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[6004] | 176 | ! !* Allocate temporary arrays |
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[5845] | 177 | CALL wrk_alloc( jpi,jpj, zsshp2_e, zhdiv ) |
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[6004] | 178 | CALL wrk_alloc( jpi,jpj, zu_trd, zv_trd) |
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| 179 | CALL wrk_alloc( jpi,jpj, zwx, zwy, zssh_frc, zu_frc, zv_frc) |
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[5845] | 180 | CALL wrk_alloc( jpi,jpj, zhup2_e, zhvp2_e, zhust_e, zhvst_e) |
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[6004] | 181 | CALL wrk_alloc( jpi,jpj, zsshu_a, zsshv_a ) |
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[5845] | 182 | CALL wrk_alloc( jpi,jpj, zhf ) |
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[3294] | 183 | ! |
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[5845] | 184 | z1_12 = 1._wp / 12._wp !* Local constant initialization |
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[4292] | 185 | z1_8 = 0.125_wp |
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| 186 | z1_4 = 0.25_wp |
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| 187 | z1_2 = 0.5_wp |
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| 188 | zraur = 1._wp / rau0 |
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[5845] | 189 | ! ! reciprocal of baroclinic time step |
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| 190 | IF( kt == nit000 .AND. neuler == 0 ) THEN ; z2dt_bf = rdt |
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| 191 | ELSE ; z2dt_bf = 2.0_wp * rdt |
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[4292] | 192 | ENDIF |
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| 193 | z1_2dt_b = 1.0_wp / z2dt_bf |
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| 194 | ! |
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[5845] | 195 | ll_init = ln_bt_av ! if no time averaging, then no specific restart |
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[4292] | 196 | ll_fw_start = .FALSE. |
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[5845] | 197 | ! ! time offset in steps for bdy data update |
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[6004] | 198 | IF( .NOT.ln_bt_fw ) THEN ; noffset = - nn_baro |
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| 199 | ELSE ; noffset = 0 |
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[5845] | 200 | ENDIF |
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[4292] | 201 | ! |
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| 202 | IF( kt == nit000 ) THEN !* initialisation |
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[508] | 203 | ! |
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[358] | 204 | IF(lwp) WRITE(numout,*) |
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| 205 | IF(lwp) WRITE(numout,*) 'dyn_spg_ts : surface pressure gradient trend' |
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| 206 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~ free surface with time splitting' |
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[4354] | 207 | IF(lwp) WRITE(numout,*) |
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[1502] | 208 | ! |
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[5845] | 209 | IF( neuler == 0 ) ll_init=.TRUE. |
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[1502] | 210 | ! |
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[5845] | 211 | IF( ln_bt_fw .OR. neuler == 0 ) THEN |
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[6004] | 212 | ll_fw_start =.TRUE. |
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| 213 | noffset = 0 |
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[4292] | 214 | ELSE |
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[6004] | 215 | ll_fw_start =.FALSE. |
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[4292] | 216 | ENDIF |
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| 217 | ! |
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| 218 | ! Set averaging weights and cycle length: |
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[5845] | 219 | CALL ts_wgt( ln_bt_av, ll_fw_start, icycle, wgtbtp1, wgtbtp2 ) |
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[4292] | 220 | ! |
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| 221 | ENDIF |
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| 222 | ! |
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| 223 | ! Set arrays to remove/compute coriolis trend. |
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| 224 | ! Do it once at kt=nit000 if volume is fixed, else at each long time step. |
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| 225 | ! Note that these arrays are also used during barotropic loop. These are however frozen |
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[4374] | 226 | ! although they should be updated in the variable volume case. Not a big approximation. |
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[4292] | 227 | ! To remove this approximation, copy lines below inside barotropic loop |
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[4374] | 228 | ! and update depths at T-F points (ht and zhf resp.) at each barotropic time step |
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[4292] | 229 | ! |
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[6004] | 230 | IF( kt == nit000 .OR. .NOT.ln_linssh ) THEN |
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| 231 | IF( ln_dynvor_een ) THEN !== EEN scheme ==! |
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[5836] | 232 | SELECT CASE( nn_een_e3f ) !* ff/e3 at F-point |
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| 233 | CASE ( 0 ) ! original formulation (masked averaging of e3t divided by 4) |
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| 234 | DO jj = 1, jpjm1 |
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| 235 | DO ji = 1, jpim1 |
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[5845] | 236 | zwz(ji,jj) = ( ht_n(ji ,jj+1) + ht_n(ji+1,jj+1) + & |
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[6004] | 237 | & ht_n(ji ,jj ) + ht_n(ji+1,jj ) ) * 0.25_wp |
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[5836] | 238 | IF( zwz(ji,jj) /= 0._wp ) zwz(ji,jj) = ff(ji,jj) / zwz(ji,jj) |
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| 239 | END DO |
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[5032] | 240 | END DO |
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[5836] | 241 | CASE ( 1 ) ! new formulation (masked averaging of e3t divided by the sum of mask) |
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| 242 | DO jj = 1, jpjm1 |
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| 243 | DO ji = 1, jpim1 |
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[5845] | 244 | zwz(ji,jj) = ( ht_n(ji ,jj+1) + ht_n(ji+1,jj+1) + & |
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| 245 | & ht_n(ji ,jj ) + ht_n(ji+1,jj ) ) & |
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[5836] | 246 | & / ( MAX( 1._wp, tmask(ji ,jj+1, 1) + tmask(ji+1,jj+1, 1) + & |
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[4292] | 247 | & tmask(ji ,jj , 1) + tmask(ji+1,jj , 1) ) ) |
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[5836] | 248 | IF( zwz(ji,jj) /= 0._wp ) zwz(ji,jj) = ff(ji,jj) / zwz(ji,jj) |
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| 249 | END DO |
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[4292] | 250 | END DO |
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[5836] | 251 | END SELECT |
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[4292] | 252 | CALL lbc_lnk( zwz, 'F', 1._wp ) |
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[5836] | 253 | ! |
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[4292] | 254 | ftne(1,:) = 0._wp ; ftnw(1,:) = 0._wp ; ftse(1,:) = 0._wp ; ftsw(1,:) = 0._wp |
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[358] | 255 | DO jj = 2, jpj |
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[5836] | 256 | DO ji = 2, jpi |
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[4292] | 257 | ftne(ji,jj) = zwz(ji-1,jj ) + zwz(ji ,jj ) + zwz(ji ,jj-1) |
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| 258 | ftnw(ji,jj) = zwz(ji-1,jj-1) + zwz(ji-1,jj ) + zwz(ji ,jj ) |
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| 259 | ftse(ji,jj) = zwz(ji ,jj ) + zwz(ji ,jj-1) + zwz(ji-1,jj-1) |
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| 260 | ftsw(ji,jj) = zwz(ji ,jj-1) + zwz(ji-1,jj-1) + zwz(ji-1,jj ) |
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[358] | 261 | END DO |
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| 262 | END DO |
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[5836] | 263 | ! |
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| 264 | ELSE !== all other schemes (ENE, ENS, MIX) |
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[4292] | 265 | zwz(:,:) = 0._wp |
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[5836] | 266 | zhf(:,:) = 0._wp |
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[4292] | 267 | IF ( .not. ln_sco ) THEN |
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[5836] | 268 | |
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| 269 | !!gm agree the JC comment : this should be done in a much clear way |
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| 270 | |
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[4374] | 271 | ! JC: It not clear yet what should be the depth at f-points over land in z-coordinate case |
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| 272 | ! Set it to zero for the time being |
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[4292] | 273 | ! IF( rn_hmin < 0._wp ) THEN ; jk = - INT( rn_hmin ) ! from a nb of level |
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| 274 | ! ELSE ; jk = MINLOC( gdepw_0, mask = gdepw_0 > rn_hmin, dim = 1 ) ! from a depth |
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| 275 | ! ENDIF |
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[4370] | 276 | ! zhf(:,:) = gdepw_0(:,:,jk+1) |
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[4292] | 277 | ELSE |
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[4370] | 278 | zhf(:,:) = hbatf(:,:) |
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[4292] | 279 | END IF |
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| 280 | |
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| 281 | DO jj = 1, jpjm1 |
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[5836] | 282 | zhf(:,jj) = zhf(:,jj) * (1._wp- umask(:,jj,1) * umask(:,jj+1,1)) |
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[4292] | 283 | END DO |
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| 284 | |
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| 285 | DO jk = 1, jpkm1 |
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| 286 | DO jj = 1, jpjm1 |
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[5845] | 287 | zhf(:,jj) = zhf(:,jj) + e3f_n(:,jj,jk) * umask(:,jj,jk) * umask(:,jj+1,jk) |
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[4292] | 288 | END DO |
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| 289 | END DO |
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[4370] | 290 | CALL lbc_lnk( zhf, 'F', 1._wp ) |
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[4292] | 291 | ! JC: TBC. hf should be greater than 0 |
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| 292 | DO jj = 1, jpj |
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| 293 | DO ji = 1, jpi |
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[4370] | 294 | IF( zhf(ji,jj) /= 0._wp ) zwz(ji,jj) = 1._wp / zhf(ji,jj) ! zhf is actually hf here but it saves an array |
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[4292] | 295 | END DO |
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| 296 | END DO |
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| 297 | zwz(:,:) = ff(:,:) * zwz(:,:) |
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[358] | 298 | ENDIF |
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[508] | 299 | ENDIF |
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[1502] | 300 | ! |
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[4292] | 301 | ! If forward start at previous time step, and centered integration, |
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| 302 | ! then update averaging weights: |
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[5836] | 303 | IF (.NOT.ln_bt_fw .AND.( neuler==0 .AND. kt==nit000+1 ) ) THEN |
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[4292] | 304 | ll_fw_start=.FALSE. |
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| 305 | CALL ts_wgt(ln_bt_av, ll_fw_start, icycle, wgtbtp1, wgtbtp2) |
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| 306 | ENDIF |
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| 307 | |
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[358] | 308 | ! ----------------------------------------------------------------------------- |
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| 309 | ! Phase 1 : Coupling between general trend and barotropic estimates (1st step) |
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| 310 | ! ----------------------------------------------------------------------------- |
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[1502] | 311 | ! |
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[4292] | 312 | ! |
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[4354] | 313 | ! !* e3*d/dt(Ua) (Vertically integrated) |
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[4292] | 314 | ! ! -------------------------------------------------- |
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[4354] | 315 | zu_frc(:,:) = 0._wp |
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| 316 | zv_frc(:,:) = 0._wp |
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[1502] | 317 | ! |
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| 318 | DO jk = 1, jpkm1 |
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[5845] | 319 | zu_frc(:,:) = zu_frc(:,:) + e3u_n(:,:,jk) * ua(:,:,jk) * umask(:,:,jk) |
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| 320 | zv_frc(:,:) = zv_frc(:,:) + e3v_n(:,:,jk) * va(:,:,jk) * vmask(:,:,jk) |
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[1502] | 321 | END DO |
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[4292] | 322 | ! |
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[5845] | 323 | zu_frc(:,:) = zu_frc(:,:) * r1_hu_n(:,:) |
---|
| 324 | zv_frc(:,:) = zv_frc(:,:) * r1_hv_n(:,:) |
---|
[4292] | 325 | ! |
---|
| 326 | ! |
---|
[1502] | 327 | ! !* baroclinic momentum trend (remove the vertical mean trend) |
---|
[4292] | 328 | DO jk = 1, jpkm1 ! ----------------------------------------------------------- |
---|
[1502] | 329 | DO jj = 2, jpjm1 |
---|
| 330 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[4292] | 331 | ua(ji,jj,jk) = ua(ji,jj,jk) - zu_frc(ji,jj) * umask(ji,jj,jk) |
---|
| 332 | va(ji,jj,jk) = va(ji,jj,jk) - zv_frc(ji,jj) * vmask(ji,jj,jk) |
---|
[1502] | 333 | END DO |
---|
[358] | 334 | END DO |
---|
[1502] | 335 | END DO |
---|
[4292] | 336 | ! !* barotropic Coriolis trends (vorticity scheme dependent) |
---|
| 337 | ! ! -------------------------------------------------------- |
---|
[5845] | 338 | zwx(:,:) = un_b(:,:) * hu_n(:,:) * e2u(:,:) ! now fluxes |
---|
| 339 | zwy(:,:) = vn_b(:,:) * hv_n(:,:) * e1v(:,:) |
---|
[1502] | 340 | ! |
---|
[358] | 341 | IF( ln_dynvor_ene .OR. ln_dynvor_mix ) THEN ! energy conserving or mixed scheme |
---|
| 342 | DO jj = 2, jpjm1 |
---|
| 343 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[5836] | 344 | zy1 = ( zwy(ji,jj-1) + zwy(ji+1,jj-1) ) * r1_e1u(ji,jj) |
---|
| 345 | zy2 = ( zwy(ji,jj ) + zwy(ji+1,jj ) ) * r1_e1u(ji,jj) |
---|
| 346 | zx1 = ( zwx(ji-1,jj) + zwx(ji-1,jj+1) ) * r1_e2v(ji,jj) |
---|
| 347 | zx2 = ( zwx(ji ,jj) + zwx(ji ,jj+1) ) * r1_e2v(ji,jj) |
---|
[358] | 348 | ! energy conserving formulation for planetary vorticity term |
---|
[4292] | 349 | zu_trd(ji,jj) = z1_4 * ( zwz(ji ,jj-1) * zy1 + zwz(ji,jj) * zy2 ) |
---|
| 350 | zv_trd(ji,jj) =-z1_4 * ( zwz(ji-1,jj ) * zx1 + zwz(ji,jj) * zx2 ) |
---|
[358] | 351 | END DO |
---|
| 352 | END DO |
---|
[508] | 353 | ! |
---|
[4374] | 354 | ELSEIF ( ln_dynvor_ens ) THEN ! enstrophy conserving scheme |
---|
[358] | 355 | DO jj = 2, jpjm1 |
---|
| 356 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[4292] | 357 | zy1 = z1_8 * ( zwy(ji ,jj-1) + zwy(ji+1,jj-1) & |
---|
[5836] | 358 | & + zwy(ji ,jj ) + zwy(ji+1,jj ) ) * r1_e1u(ji,jj) |
---|
[4292] | 359 | zx1 = - z1_8 * ( zwx(ji-1,jj ) + zwx(ji-1,jj+1) & |
---|
[5836] | 360 | & + zwx(ji ,jj ) + zwx(ji ,jj+1) ) * r1_e2v(ji,jj) |
---|
[4292] | 361 | zu_trd(ji,jj) = zy1 * ( zwz(ji ,jj-1) + zwz(ji,jj) ) |
---|
| 362 | zv_trd(ji,jj) = zx1 * ( zwz(ji-1,jj ) + zwz(ji,jj) ) |
---|
[358] | 363 | END DO |
---|
| 364 | END DO |
---|
[508] | 365 | ! |
---|
[5836] | 366 | ELSEIF ( ln_dynvor_een ) THEN ! enstrophy and energy conserving scheme |
---|
[358] | 367 | DO jj = 2, jpjm1 |
---|
| 368 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[5836] | 369 | zu_trd(ji,jj) = + z1_12 * r1_e1u(ji,jj) * ( ftne(ji,jj ) * zwy(ji ,jj ) & |
---|
| 370 | & + ftnw(ji+1,jj) * zwy(ji+1,jj ) & |
---|
| 371 | & + ftse(ji,jj ) * zwy(ji ,jj-1) & |
---|
| 372 | & + ftsw(ji+1,jj) * zwy(ji+1,jj-1) ) |
---|
| 373 | zv_trd(ji,jj) = - z1_12 * r1_e2v(ji,jj) * ( ftsw(ji,jj+1) * zwx(ji-1,jj+1) & |
---|
| 374 | & + ftse(ji,jj+1) * zwx(ji ,jj+1) & |
---|
| 375 | & + ftnw(ji,jj ) * zwx(ji-1,jj ) & |
---|
| 376 | & + ftne(ji,jj ) * zwx(ji ,jj ) ) |
---|
[358] | 377 | END DO |
---|
| 378 | END DO |
---|
[508] | 379 | ! |
---|
[4292] | 380 | ENDIF |
---|
| 381 | ! |
---|
[1502] | 382 | ! !* Right-Hand-Side of the barotropic momentum equation |
---|
| 383 | ! ! ---------------------------------------------------- |
---|
[5866] | 384 | IF( .NOT.ln_linssh ) THEN ! Variable volume : remove surface pressure gradient |
---|
[1502] | 385 | DO jj = 2, jpjm1 |
---|
[358] | 386 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[5836] | 387 | zu_trd(ji,jj) = zu_trd(ji,jj) - grav * ( sshn(ji+1,jj ) - sshn(ji ,jj ) ) * r1_e1u(ji,jj) |
---|
| 388 | zv_trd(ji,jj) = zv_trd(ji,jj) - grav * ( sshn(ji ,jj+1) - sshn(ji ,jj ) ) * r1_e2v(ji,jj) |
---|
[358] | 389 | END DO |
---|
| 390 | END DO |
---|
[1502] | 391 | ENDIF |
---|
[358] | 392 | |
---|
[4292] | 393 | DO jj = 2, jpjm1 ! Remove coriolis term (and possibly spg) from barotropic trend |
---|
[358] | 394 | DO ji = fs_2, fs_jpim1 |
---|
[4292] | 395 | zu_frc(ji,jj) = zu_frc(ji,jj) - zu_trd(ji,jj) * umask(ji,jj,1) |
---|
| 396 | zv_frc(ji,jj) = zv_frc(ji,jj) - zv_trd(ji,jj) * vmask(ji,jj,1) |
---|
[3294] | 397 | END DO |
---|
[4292] | 398 | END DO |
---|
| 399 | ! |
---|
| 400 | ! ! Add bottom stress contribution from baroclinic velocities: |
---|
| 401 | IF (ln_bt_fw) THEN |
---|
| 402 | DO jj = 2, jpjm1 |
---|
| 403 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 404 | ikbu = mbku(ji,jj) |
---|
| 405 | ikbv = mbkv(ji,jj) |
---|
| 406 | zwx(ji,jj) = un(ji,jj,ikbu) - un_b(ji,jj) ! NOW bottom baroclinic velocities |
---|
| 407 | zwy(ji,jj) = vn(ji,jj,ikbv) - vn_b(ji,jj) |
---|
| 408 | END DO |
---|
| 409 | END DO |
---|
[3294] | 410 | ELSE |
---|
[4292] | 411 | DO jj = 2, jpjm1 |
---|
| 412 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 413 | ikbu = mbku(ji,jj) |
---|
| 414 | ikbv = mbkv(ji,jj) |
---|
| 415 | zwx(ji,jj) = ub(ji,jj,ikbu) - ub_b(ji,jj) ! BEFORE bottom baroclinic velocities |
---|
| 416 | zwy(ji,jj) = vb(ji,jj,ikbv) - vb_b(ji,jj) |
---|
| 417 | END DO |
---|
| 418 | END DO |
---|
| 419 | ENDIF |
---|
[1502] | 420 | ! |
---|
[4292] | 421 | ! Note that the "unclipped" bottom friction parameter is used even with explicit drag |
---|
[5845] | 422 | zu_frc(:,:) = zu_frc(:,:) + r1_hu_n(:,:) * bfrua(:,:) * zwx(:,:) |
---|
| 423 | zv_frc(:,:) = zv_frc(:,:) + r1_hv_n(:,:) * bfrva(:,:) * zwy(:,:) |
---|
[4292] | 424 | ! |
---|
[6004] | 425 | IF( ln_bt_fw ) THEN ! Add wind forcing |
---|
[5845] | 426 | zu_frc(:,:) = zu_frc(:,:) + zraur * utau(:,:) * r1_hu_n(:,:) |
---|
| 427 | zv_frc(:,:) = zv_frc(:,:) + zraur * vtau(:,:) * r1_hv_n(:,:) |
---|
[2724] | 428 | ELSE |
---|
[5845] | 429 | zu_frc(:,:) = zu_frc(:,:) + zraur * z1_2 * ( utau_b(:,:) + utau(:,:) ) * r1_hu_n(:,:) |
---|
| 430 | zv_frc(:,:) = zv_frc(:,:) + zraur * z1_2 * ( vtau_b(:,:) + vtau(:,:) ) * r1_hv_n(:,:) |
---|
[4292] | 431 | ENDIF |
---|
| 432 | ! |
---|
| 433 | IF ( ln_apr_dyn ) THEN ! Add atm pressure forcing |
---|
| 434 | IF (ln_bt_fw) THEN |
---|
| 435 | DO jj = 2, jpjm1 |
---|
| 436 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[5836] | 437 | zu_spg = grav * ( ssh_ib (ji+1,jj ) - ssh_ib (ji,jj) ) * r1_e1u(ji,jj) |
---|
| 438 | zv_spg = grav * ( ssh_ib (ji ,jj+1) - ssh_ib (ji,jj) ) * r1_e2v(ji,jj) |
---|
[4292] | 439 | zu_frc(ji,jj) = zu_frc(ji,jj) + zu_spg |
---|
| 440 | zv_frc(ji,jj) = zv_frc(ji,jj) + zv_spg |
---|
| 441 | END DO |
---|
| 442 | END DO |
---|
| 443 | ELSE |
---|
| 444 | DO jj = 2, jpjm1 |
---|
| 445 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 446 | zu_spg = grav * z1_2 * ( ssh_ib (ji+1,jj ) - ssh_ib (ji,jj) & |
---|
[5836] | 447 | & + ssh_ibb(ji+1,jj ) - ssh_ibb(ji,jj) ) * r1_e1u(ji,jj) |
---|
[4292] | 448 | zv_spg = grav * z1_2 * ( ssh_ib (ji ,jj+1) - ssh_ib (ji,jj) & |
---|
[5836] | 449 | & + ssh_ibb(ji ,jj+1) - ssh_ibb(ji,jj) ) * r1_e2v(ji,jj) |
---|
[4292] | 450 | zu_frc(ji,jj) = zu_frc(ji,jj) + zu_spg |
---|
| 451 | zv_frc(ji,jj) = zv_frc(ji,jj) + zv_spg |
---|
| 452 | END DO |
---|
| 453 | END DO |
---|
| 454 | ENDIF |
---|
[2724] | 455 | ENDIF |
---|
[4292] | 456 | ! !* Right-Hand-Side of the barotropic ssh equation |
---|
| 457 | ! ! ----------------------------------------------- |
---|
| 458 | ! ! Surface net water flux and rivers |
---|
| 459 | IF (ln_bt_fw) THEN |
---|
[5643] | 460 | zssh_frc(:,:) = zraur * ( emp(:,:) - rnf(:,:) + fwfisf(:,:) ) |
---|
[4292] | 461 | ELSE |
---|
[5120] | 462 | zssh_frc(:,:) = zraur * z1_2 * ( emp(:,:) + emp_b(:,:) - rnf(:,:) - rnf_b(:,:) & |
---|
[5643] | 463 | & + fwfisf(:,:) + fwfisf_b(:,:) ) |
---|
[4292] | 464 | ENDIF |
---|
| 465 | #if defined key_asminc |
---|
| 466 | ! ! Include the IAU weighted SSH increment |
---|
| 467 | IF( lk_asminc .AND. ln_sshinc .AND. ln_asmiau ) THEN |
---|
[5436] | 468 | zssh_frc(:,:) = zssh_frc(:,:) - ssh_iau(:,:) |
---|
[4292] | 469 | ENDIF |
---|
| 470 | #endif |
---|
[5656] | 471 | ! !* Fill boundary data arrays for AGRIF |
---|
| 472 | ! ! ------------------------------------ |
---|
[4486] | 473 | #if defined key_agrif |
---|
| 474 | IF( .NOT.Agrif_Root() ) CALL agrif_dta_ts( kt ) |
---|
| 475 | #endif |
---|
[4292] | 476 | ! |
---|
[358] | 477 | ! ----------------------------------------------------------------------- |
---|
[4292] | 478 | ! Phase 2 : Integration of the barotropic equations |
---|
[358] | 479 | ! ----------------------------------------------------------------------- |
---|
[1502] | 480 | ! |
---|
| 481 | ! ! ==================== ! |
---|
| 482 | ! ! Initialisations ! |
---|
[4292] | 483 | ! ! ==================== ! |
---|
[4370] | 484 | ! Initialize barotropic variables: |
---|
[4770] | 485 | IF( ll_init )THEN |
---|
[4700] | 486 | sshbb_e(:,:) = 0._wp |
---|
| 487 | ubb_e (:,:) = 0._wp |
---|
| 488 | vbb_e (:,:) = 0._wp |
---|
| 489 | sshb_e (:,:) = 0._wp |
---|
| 490 | ub_e (:,:) = 0._wp |
---|
| 491 | vb_e (:,:) = 0._wp |
---|
| 492 | ENDIF |
---|
| 493 | ! |
---|
[4370] | 494 | IF (ln_bt_fw) THEN ! FORWARD integration: start from NOW fields |
---|
[6004] | 495 | sshn_e(:,:) = sshn(:,:) |
---|
| 496 | un_e (:,:) = un_b(:,:) |
---|
| 497 | vn_e (:,:) = vn_b(:,:) |
---|
[4370] | 498 | ! |
---|
[5845] | 499 | hu_e (:,:) = hu_n(:,:) |
---|
| 500 | hv_e (:,:) = hv_n(:,:) |
---|
| 501 | hur_e (:,:) = r1_hu_n(:,:) |
---|
| 502 | hvr_e (:,:) = r1_hv_n(:,:) |
---|
[4370] | 503 | ELSE ! CENTRED integration: start from BEFORE fields |
---|
[6004] | 504 | sshn_e(:,:) = sshb(:,:) |
---|
| 505 | un_e (:,:) = ub_b(:,:) |
---|
| 506 | vn_e (:,:) = vb_b(:,:) |
---|
[4370] | 507 | ! |
---|
[5845] | 508 | hu_e (:,:) = hu_b(:,:) |
---|
| 509 | hv_e (:,:) = hv_b(:,:) |
---|
| 510 | hur_e (:,:) = r1_hu_b(:,:) |
---|
| 511 | hvr_e (:,:) = r1_hv_b(:,:) |
---|
[4292] | 512 | ENDIF |
---|
| 513 | ! |
---|
| 514 | ! |
---|
[4370] | 515 | ! |
---|
[4292] | 516 | ! Initialize sums: |
---|
| 517 | ua_b (:,:) = 0._wp ! After barotropic velocities (or transport if flux form) |
---|
| 518 | va_b (:,:) = 0._wp |
---|
| 519 | ssha (:,:) = 0._wp ! Sum for after averaged sea level |
---|
[6004] | 520 | un_adv(:,:) = 0._wp ! Sum for now transport issued from ts loop |
---|
| 521 | vn_adv(:,:) = 0._wp |
---|
[1502] | 522 | ! ! ==================== ! |
---|
[4292] | 523 | DO jn = 1, icycle ! sub-time-step loop ! |
---|
[1502] | 524 | ! ! ==================== ! |
---|
[3294] | 525 | ! !* Update the forcing (BDY and tides) |
---|
[1502] | 526 | ! ! ------------------ |
---|
[4292] | 527 | ! Update only tidal forcing at open boundaries |
---|
| 528 | #if defined key_tide |
---|
[6004] | 529 | IF( lk_bdy .AND. lk_tide ) CALL bdy_dta_tides( kt, kit=jn, time_offset= noffset+1 ) |
---|
| 530 | IF( ln_tide_pot .AND. lk_tide ) CALL upd_tide ( kt, kit=jn, time_offset= noffset ) |
---|
[4292] | 531 | #endif |
---|
| 532 | ! |
---|
| 533 | ! Set extrapolation coefficients for predictor step: |
---|
| 534 | IF ((jn<3).AND.ll_init) THEN ! Forward |
---|
| 535 | za1 = 1._wp |
---|
| 536 | za2 = 0._wp |
---|
| 537 | za3 = 0._wp |
---|
| 538 | ELSE ! AB3-AM4 Coefficients: bet=0.281105 |
---|
| 539 | za1 = 1.781105_wp ! za1 = 3/2 + bet |
---|
| 540 | za2 = -1.06221_wp ! za2 = -(1/2 + 2*bet) |
---|
| 541 | za3 = 0.281105_wp ! za3 = bet |
---|
| 542 | ENDIF |
---|
[367] | 543 | |
---|
[4292] | 544 | ! Extrapolate barotropic velocities at step jit+0.5: |
---|
[6004] | 545 | ua_e(:,:) = za1 * un_e(:,:) + za2 * ub_e(:,:) + za3 * ubb_e(:,:) |
---|
| 546 | va_e(:,:) = za1 * vn_e(:,:) + za2 * vb_e(:,:) + za3 * vbb_e(:,:) |
---|
[4292] | 547 | |
---|
[5866] | 548 | IF( .NOT.ln_linssh ) THEN !* Update ocean depth (variable volume case only) |
---|
[4292] | 549 | ! ! ------------------ |
---|
| 550 | ! Extrapolate Sea Level at step jit+0.5: |
---|
| 551 | zsshp2_e(:,:) = za1 * sshn_e(:,:) + za2 * sshb_e(:,:) + za3 * sshbb_e(:,:) |
---|
| 552 | ! |
---|
| 553 | DO jj = 2, jpjm1 ! Sea Surface Height at u- & v-points |
---|
| 554 | DO ji = 2, fs_jpim1 ! Vector opt. |
---|
[5836] | 555 | zwx(ji,jj) = z1_2 * umask(ji,jj,1) * r1_e1e2u(ji,jj) & |
---|
| 556 | & * ( e1e2t(ji ,jj) * zsshp2_e(ji ,jj) & |
---|
| 557 | & + e1e2t(ji+1,jj) * zsshp2_e(ji+1,jj) ) |
---|
| 558 | zwy(ji,jj) = z1_2 * vmask(ji,jj,1) * r1_e1e2v(ji,jj) & |
---|
| 559 | & * ( e1e2t(ji,jj ) * zsshp2_e(ji,jj ) & |
---|
| 560 | & + e1e2t(ji,jj+1) * zsshp2_e(ji,jj+1) ) |
---|
[4292] | 561 | END DO |
---|
| 562 | END DO |
---|
[5429] | 563 | CALL lbc_lnk_multi( zwx, 'U', 1._wp, zwy, 'V', 1._wp ) |
---|
[4292] | 564 | ! |
---|
[4374] | 565 | zhup2_e (:,:) = hu_0(:,:) + zwx(:,:) ! Ocean depth at U- and V-points |
---|
[4292] | 566 | zhvp2_e (:,:) = hv_0(:,:) + zwy(:,:) |
---|
[4370] | 567 | ELSE |
---|
[5845] | 568 | zhup2_e (:,:) = hu_n(:,:) |
---|
| 569 | zhvp2_e (:,:) = hv_n(:,:) |
---|
[4292] | 570 | ENDIF |
---|
| 571 | ! !* after ssh |
---|
[1502] | 572 | ! ! ----------- |
---|
[4292] | 573 | ! One should enforce volume conservation at open boundaries here |
---|
| 574 | ! considering fluxes below: |
---|
| 575 | ! |
---|
| 576 | zwx(:,:) = e2u(:,:) * ua_e(:,:) * zhup2_e(:,:) ! fluxes at jn+0.5 |
---|
| 577 | zwy(:,:) = e1v(:,:) * va_e(:,:) * zhvp2_e(:,:) |
---|
[4486] | 578 | ! |
---|
| 579 | #if defined key_agrif |
---|
[5866] | 580 | ! Set fluxes during predictor step to ensure volume conservation |
---|
| 581 | IF( .NOT.Agrif_Root() .AND. ln_bt_fw ) THEN |
---|
[4486] | 582 | IF((nbondi == -1).OR.(nbondi == 2)) THEN |
---|
| 583 | DO jj=1,jpj |
---|
| 584 | zwx(2,jj) = ubdy_w(jj) * e2u(2,jj) |
---|
| 585 | END DO |
---|
| 586 | ENDIF |
---|
| 587 | IF((nbondi == 1).OR.(nbondi == 2)) THEN |
---|
| 588 | DO jj=1,jpj |
---|
| 589 | zwx(nlci-2,jj) = ubdy_e(jj) * e2u(nlci-2,jj) |
---|
| 590 | END DO |
---|
| 591 | ENDIF |
---|
| 592 | IF((nbondj == -1).OR.(nbondj == 2)) THEN |
---|
| 593 | DO ji=1,jpi |
---|
| 594 | zwy(ji,2) = vbdy_s(ji) * e1v(ji,2) |
---|
| 595 | END DO |
---|
| 596 | ENDIF |
---|
| 597 | IF((nbondj == 1).OR.(nbondj == 2)) THEN |
---|
| 598 | DO ji=1,jpi |
---|
| 599 | zwy(ji,nlcj-2) = vbdy_n(ji) * e1v(ji,nlcj-2) |
---|
| 600 | END DO |
---|
| 601 | ENDIF |
---|
| 602 | ENDIF |
---|
| 603 | #endif |
---|
| 604 | ! |
---|
| 605 | ! Sum over sub-time-steps to compute advective velocities |
---|
| 606 | za2 = wgtbtp2(jn) |
---|
[6004] | 607 | un_adv(:,:) = un_adv(:,:) + za2 * zwx(:,:) * r1_e2u(:,:) |
---|
| 608 | vn_adv(:,:) = vn_adv(:,:) + za2 * zwy(:,:) * r1_e1v(:,:) |
---|
[4486] | 609 | ! |
---|
| 610 | ! Set next sea level: |
---|
[4292] | 611 | DO jj = 2, jpjm1 |
---|
[358] | 612 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[4292] | 613 | zhdiv(ji,jj) = ( zwx(ji,jj) - zwx(ji-1,jj) & |
---|
[5836] | 614 | & + zwy(ji,jj) - zwy(ji,jj-1) ) * r1_e1e2t(ji,jj) |
---|
[358] | 615 | END DO |
---|
| 616 | END DO |
---|
[4292] | 617 | ssha_e(:,:) = ( sshn_e(:,:) - rdtbt * ( zssh_frc(:,:) + zhdiv(:,:) ) ) * tmask(:,:,1) |
---|
| 618 | CALL lbc_lnk( ssha_e, 'T', 1._wp ) |
---|
| 619 | |
---|
[1170] | 620 | #if defined key_bdy |
---|
[5866] | 621 | ! Duplicate sea level across open boundaries (this is only cosmetic if linssh=T) |
---|
| 622 | IF( lk_bdy ) CALL bdy_ssh( ssha_e ) |
---|
[1170] | 623 | #endif |
---|
[4292] | 624 | #if defined key_agrif |
---|
[5866] | 625 | IF( .NOT.Agrif_Root() ) CALL agrif_ssh_ts( jn ) |
---|
[4292] | 626 | #endif |
---|
| 627 | ! |
---|
| 628 | ! Sea Surface Height at u-,v-points (vvl case only) |
---|
[5866] | 629 | IF( .NOT.ln_linssh ) THEN |
---|
[4292] | 630 | DO jj = 2, jpjm1 |
---|
| 631 | DO ji = 2, jpim1 ! NO Vector Opt. |
---|
[5836] | 632 | zsshu_a(ji,jj) = z1_2 * umask(ji,jj,1) * r1_e1e2u(ji,jj) & |
---|
| 633 | & * ( e1e2t(ji ,jj ) * ssha_e(ji ,jj ) & |
---|
| 634 | & + e1e2t(ji+1,jj ) * ssha_e(ji+1,jj ) ) |
---|
| 635 | zsshv_a(ji,jj) = z1_2 * vmask(ji,jj,1) * r1_e1e2v(ji,jj) & |
---|
| 636 | & * ( e1e2t(ji ,jj ) * ssha_e(ji ,jj ) & |
---|
| 637 | & + e1e2t(ji ,jj+1) * ssha_e(ji ,jj+1) ) |
---|
[4292] | 638 | END DO |
---|
[358] | 639 | END DO |
---|
[5429] | 640 | CALL lbc_lnk_multi( zsshu_a, 'U', 1._wp, zsshv_a, 'V', 1._wp ) |
---|
[4292] | 641 | ENDIF |
---|
| 642 | ! |
---|
| 643 | ! Half-step back interpolation of SSH for surface pressure computation: |
---|
| 644 | !---------------------------------------------------------------------- |
---|
| 645 | IF ((jn==1).AND.ll_init) THEN |
---|
| 646 | za0=1._wp ! Forward-backward |
---|
| 647 | za1=0._wp |
---|
| 648 | za2=0._wp |
---|
| 649 | za3=0._wp |
---|
| 650 | ELSEIF ((jn==2).AND.ll_init) THEN ! AB2-AM3 Coefficients; bet=0 ; gam=-1/6 ; eps=1/12 |
---|
| 651 | za0= 1.0833333333333_wp ! za0 = 1-gam-eps |
---|
| 652 | za1=-0.1666666666666_wp ! za1 = gam |
---|
| 653 | za2= 0.0833333333333_wp ! za2 = eps |
---|
| 654 | za3= 0._wp |
---|
| 655 | ELSE ! AB3-AM4 Coefficients; bet=0.281105 ; eps=0.013 ; gam=0.0880 |
---|
| 656 | za0=0.614_wp ! za0 = 1/2 + gam + 2*eps |
---|
| 657 | za1=0.285_wp ! za1 = 1/2 - 2*gam - 3*eps |
---|
| 658 | za2=0.088_wp ! za2 = gam |
---|
| 659 | za3=0.013_wp ! za3 = eps |
---|
| 660 | ENDIF |
---|
[5866] | 661 | ! |
---|
[4292] | 662 | zsshp2_e(:,:) = za0 * ssha_e(:,:) + za1 * sshn_e (:,:) & |
---|
| 663 | & + za2 * sshb_e(:,:) + za3 * sshbb_e(:,:) |
---|
[1502] | 664 | ! |
---|
[4292] | 665 | ! Compute associated depths at U and V points: |
---|
[6004] | 666 | IF( .NOT.ln_linssh .AND. .NOT.ln_dynadv_vec ) THEN !* Vector form |
---|
[4292] | 667 | ! |
---|
| 668 | DO jj = 2, jpjm1 |
---|
| 669 | DO ji = 2, jpim1 |
---|
[5836] | 670 | zx1 = z1_2 * umask(ji ,jj,1) * r1_e1e2u(ji ,jj) & |
---|
| 671 | & * ( e1e2t(ji ,jj ) * zsshp2_e(ji ,jj) & |
---|
| 672 | & + e1e2t(ji+1,jj ) * zsshp2_e(ji+1,jj ) ) |
---|
| 673 | zy1 = z1_2 * vmask(ji ,jj,1) * r1_e1e2v(ji ,jj ) & |
---|
| 674 | & * ( e1e2t(ji ,jj ) * zsshp2_e(ji ,jj ) & |
---|
| 675 | & + e1e2t(ji ,jj+1) * zsshp2_e(ji ,jj+1) ) |
---|
[4292] | 676 | zhust_e(ji,jj) = hu_0(ji,jj) + zx1 |
---|
| 677 | zhvst_e(ji,jj) = hv_0(ji,jj) + zy1 |
---|
| 678 | END DO |
---|
| 679 | END DO |
---|
| 680 | ENDIF |
---|
| 681 | ! |
---|
| 682 | ! Add Coriolis trend: |
---|
[5866] | 683 | ! zwz array below or triads normally depend on sea level with ln_linssh=F and should be updated |
---|
[4292] | 684 | ! at each time step. We however keep them constant here for optimization. |
---|
| 685 | ! Recall that zwx and zwy arrays hold fluxes at this stage: |
---|
| 686 | ! zwx(:,:) = e2u(:,:) * ua_e(:,:) * zhup2_e(:,:) ! fluxes at jn+0.5 |
---|
| 687 | ! zwy(:,:) = e1v(:,:) * va_e(:,:) * zhvp2_e(:,:) |
---|
| 688 | ! |
---|
[6004] | 689 | IF( ln_dynvor_ene .OR. ln_dynvor_mix ) THEN !== energy conserving or mixed scheme ==! |
---|
[358] | 690 | DO jj = 2, jpjm1 |
---|
| 691 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[5836] | 692 | zy1 = ( zwy(ji ,jj-1) + zwy(ji+1,jj-1) ) * r1_e1u(ji,jj) |
---|
| 693 | zy2 = ( zwy(ji ,jj ) + zwy(ji+1,jj ) ) * r1_e1u(ji,jj) |
---|
| 694 | zx1 = ( zwx(ji-1,jj ) + zwx(ji-1,jj+1) ) * r1_e2v(ji,jj) |
---|
| 695 | zx2 = ( zwx(ji ,jj ) + zwx(ji ,jj+1) ) * r1_e2v(ji,jj) |
---|
[4292] | 696 | zu_trd(ji,jj) = z1_4 * ( zwz(ji ,jj-1) * zy1 + zwz(ji,jj) * zy2 ) |
---|
| 697 | zv_trd(ji,jj) =-z1_4 * ( zwz(ji-1,jj ) * zx1 + zwz(ji,jj) * zx2 ) |
---|
[358] | 698 | END DO |
---|
| 699 | END DO |
---|
[508] | 700 | ! |
---|
[6004] | 701 | ELSEIF ( ln_dynvor_ens ) THEN !== enstrophy conserving scheme ==! |
---|
[358] | 702 | DO jj = 2, jpjm1 |
---|
| 703 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[4292] | 704 | zy1 = z1_8 * ( zwy(ji ,jj-1) + zwy(ji+1,jj-1) & |
---|
[5836] | 705 | & + zwy(ji ,jj ) + zwy(ji+1,jj ) ) * r1_e1u(ji,jj) |
---|
[4292] | 706 | zx1 = - z1_8 * ( zwx(ji-1,jj ) + zwx(ji-1,jj+1) & |
---|
[5836] | 707 | & + zwx(ji ,jj ) + zwx(ji ,jj+1) ) * r1_e2v(ji,jj) |
---|
[4292] | 708 | zu_trd(ji,jj) = zy1 * ( zwz(ji ,jj-1) + zwz(ji,jj) ) |
---|
| 709 | zv_trd(ji,jj) = zx1 * ( zwz(ji-1,jj ) + zwz(ji,jj) ) |
---|
[358] | 710 | END DO |
---|
| 711 | END DO |
---|
[508] | 712 | ! |
---|
[6004] | 713 | ELSEIF ( ln_dynvor_een ) THEN !== energy and enstrophy conserving scheme ==! |
---|
[358] | 714 | DO jj = 2, jpjm1 |
---|
| 715 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[5836] | 716 | zu_trd(ji,jj) = + z1_12 * r1_e1u(ji,jj) * ( ftne(ji,jj ) * zwy(ji ,jj ) & |
---|
| 717 | & + ftnw(ji+1,jj) * zwy(ji+1,jj ) & |
---|
| 718 | & + ftse(ji,jj ) * zwy(ji ,jj-1) & |
---|
| 719 | & + ftsw(ji+1,jj) * zwy(ji+1,jj-1) ) |
---|
| 720 | zv_trd(ji,jj) = - z1_12 * r1_e2v(ji,jj) * ( ftsw(ji,jj+1) * zwx(ji-1,jj+1) & |
---|
| 721 | & + ftse(ji,jj+1) * zwx(ji ,jj+1) & |
---|
| 722 | & + ftnw(ji,jj ) * zwx(ji-1,jj ) & |
---|
| 723 | & + ftne(ji,jj ) * zwx(ji ,jj ) ) |
---|
[358] | 724 | END DO |
---|
| 725 | END DO |
---|
[508] | 726 | ! |
---|
[358] | 727 | ENDIF |
---|
[4292] | 728 | ! |
---|
| 729 | ! Add tidal astronomical forcing if defined |
---|
| 730 | IF ( lk_tide.AND.ln_tide_pot ) THEN |
---|
| 731 | DO jj = 2, jpjm1 |
---|
| 732 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[5836] | 733 | zu_spg = grav * ( pot_astro(ji+1,jj) - pot_astro(ji,jj) ) * r1_e1u(ji,jj) |
---|
| 734 | zv_spg = grav * ( pot_astro(ji,jj+1) - pot_astro(ji,jj) ) * r1_e2v(ji,jj) |
---|
[4292] | 735 | zu_trd(ji,jj) = zu_trd(ji,jj) + zu_spg |
---|
| 736 | zv_trd(ji,jj) = zv_trd(ji,jj) + zv_spg |
---|
| 737 | END DO |
---|
| 738 | END DO |
---|
| 739 | ENDIF |
---|
| 740 | ! |
---|
| 741 | ! Add bottom stresses: |
---|
[6004] | 742 | zu_trd(:,:) = zu_trd(:,:) + bfrua(:,:) * un_e(:,:) * hur_e(:,:) |
---|
| 743 | zv_trd(:,:) = zv_trd(:,:) + bfrva(:,:) * vn_e(:,:) * hvr_e(:,:) |
---|
[4292] | 744 | ! |
---|
| 745 | ! Surface pressure trend: |
---|
| 746 | DO jj = 2, jpjm1 |
---|
| 747 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 748 | ! Add surface pressure gradient |
---|
[5836] | 749 | zu_spg = - grav * ( zsshp2_e(ji+1,jj) - zsshp2_e(ji,jj) ) * r1_e1u(ji,jj) |
---|
| 750 | zv_spg = - grav * ( zsshp2_e(ji,jj+1) - zsshp2_e(ji,jj) ) * r1_e2v(ji,jj) |
---|
[4292] | 751 | zwx(ji,jj) = zu_spg |
---|
| 752 | zwy(ji,jj) = zv_spg |
---|
| 753 | END DO |
---|
| 754 | END DO |
---|
| 755 | ! |
---|
| 756 | ! Set next velocities: |
---|
[5866] | 757 | IF( ln_dynadv_vec .OR. ln_linssh ) THEN !* Vector form |
---|
[4292] | 758 | DO jj = 2, jpjm1 |
---|
| 759 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[6004] | 760 | ua_e(ji,jj) = ( un_e(ji,jj) & |
---|
| 761 | & + rdtbt * ( zwx(ji,jj) & |
---|
| 762 | & + zu_trd(ji,jj) & |
---|
| 763 | & + zu_frc(ji,jj) ) ) * umask(ji,jj,1) |
---|
| 764 | ! |
---|
| 765 | va_e(ji,jj) = ( vn_e(ji,jj) & |
---|
| 766 | & + rdtbt * ( zwy(ji,jj) & |
---|
| 767 | & + zv_trd(ji,jj) & |
---|
| 768 | & + zv_frc(ji,jj) ) ) * vmask(ji,jj,1) |
---|
[4292] | 769 | END DO |
---|
| 770 | END DO |
---|
[6004] | 771 | ! |
---|
[5866] | 772 | ELSE !* Flux form |
---|
[4292] | 773 | DO jj = 2, jpjm1 |
---|
| 774 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[6004] | 775 | zhura = umask(ji,jj,1) / ( hu_0(ji,jj) + zsshu_a(ji,jj) + 1._wp - umask(ji,jj,1) ) |
---|
| 776 | zhvra = vmask(ji,jj,1) / ( hv_0(ji,jj) + zsshv_a(ji,jj) + 1._wp - vmask(ji,jj,1) ) |
---|
| 777 | ! |
---|
| 778 | ua_e(ji,jj) = ( hu_e(ji,jj) * un_e(ji,jj) & |
---|
| 779 | & + rdtbt * ( zhust_e(ji,jj) * zwx(ji,jj) & |
---|
| 780 | & + zhup2_e(ji,jj) * zu_trd(ji,jj) & |
---|
| 781 | & + hu_n(ji,jj) * zu_frc(ji,jj) ) ) * zhura |
---|
| 782 | ! |
---|
| 783 | va_e(ji,jj) = ( hv_e(ji,jj) * vn_e(ji,jj) & |
---|
| 784 | & + rdtbt * ( zhvst_e(ji,jj) * zwy(ji,jj) & |
---|
| 785 | & + zhvp2_e(ji,jj) * zv_trd(ji,jj) & |
---|
| 786 | & + hv_n(ji,jj) * zv_frc(ji,jj) ) ) * zhvra |
---|
[592] | 787 | END DO |
---|
| 788 | END DO |
---|
[4292] | 789 | ENDIF |
---|
| 790 | ! |
---|
[5866] | 791 | IF( .NOT.ln_linssh ) THEN !* Update ocean depth (variable volume case only) |
---|
[4292] | 792 | hu_e (:,:) = hu_0(:,:) + zsshu_a(:,:) |
---|
| 793 | hv_e (:,:) = hv_0(:,:) + zsshv_a(:,:) |
---|
[3294] | 794 | hur_e(:,:) = umask(:,:,1) / ( hu_e(:,:) + 1._wp - umask(:,:,1) ) |
---|
| 795 | hvr_e(:,:) = vmask(:,:,1) / ( hv_e(:,:) + 1._wp - vmask(:,:,1) ) |
---|
[1502] | 796 | ! |
---|
[1438] | 797 | ENDIF |
---|
[5866] | 798 | ! !* domain lateral boundary |
---|
[5429] | 799 | CALL lbc_lnk_multi( ua_e, 'U', -1._wp, va_e , 'V', -1._wp ) |
---|
[5866] | 800 | ! |
---|
[4292] | 801 | #if defined key_bdy |
---|
[5866] | 802 | ! ! open boundaries |
---|
[6004] | 803 | IF( lk_bdy ) CALL bdy_dyn2d( jn, ua_e, va_e, un_e, vn_e, hur_e, hvr_e, ssha_e ) |
---|
[4292] | 804 | #endif |
---|
[4486] | 805 | #if defined key_agrif |
---|
| 806 | IF( .NOT.Agrif_Root() ) CALL agrif_dyn_ts( jn ) ! Agrif |
---|
[4292] | 807 | #endif |
---|
| 808 | ! !* Swap |
---|
| 809 | ! ! ---- |
---|
| 810 | ubb_e (:,:) = ub_e (:,:) |
---|
[6004] | 811 | ub_e (:,:) = un_e (:,:) |
---|
| 812 | un_e (:,:) = ua_e (:,:) |
---|
[4292] | 813 | ! |
---|
| 814 | vbb_e (:,:) = vb_e (:,:) |
---|
[6004] | 815 | vb_e (:,:) = vn_e (:,:) |
---|
| 816 | vn_e (:,:) = va_e (:,:) |
---|
[4292] | 817 | ! |
---|
| 818 | sshbb_e(:,:) = sshb_e(:,:) |
---|
| 819 | sshb_e (:,:) = sshn_e(:,:) |
---|
| 820 | sshn_e (:,:) = ssha_e(:,:) |
---|
| 821 | |
---|
| 822 | ! !* Sum over whole bt loop |
---|
| 823 | ! ! ---------------------- |
---|
| 824 | za1 = wgtbtp1(jn) |
---|
[5866] | 825 | IF( ln_dynadv_vec .OR. ln_linssh ) THEN ! Sum velocities |
---|
[4292] | 826 | ua_b (:,:) = ua_b (:,:) + za1 * ua_e (:,:) |
---|
| 827 | va_b (:,:) = va_b (:,:) + za1 * va_e (:,:) |
---|
| 828 | ELSE ! Sum transports |
---|
| 829 | ua_b (:,:) = ua_b (:,:) + za1 * ua_e (:,:) * hu_e (:,:) |
---|
| 830 | va_b (:,:) = va_b (:,:) + za1 * va_e (:,:) * hv_e (:,:) |
---|
| 831 | ENDIF |
---|
| 832 | ! ! Sum sea level |
---|
| 833 | ssha(:,:) = ssha(:,:) + za1 * ssha_e(:,:) |
---|
[358] | 834 | ! ! ==================== ! |
---|
| 835 | END DO ! end loop ! |
---|
| 836 | ! ! ==================== ! |
---|
[1438] | 837 | ! ----------------------------------------------------------------------------- |
---|
[1502] | 838 | ! Phase 3. update the general trend with the barotropic trend |
---|
[1438] | 839 | ! ----------------------------------------------------------------------------- |
---|
[1502] | 840 | ! |
---|
[4292] | 841 | ! Set advection velocity correction: |
---|
[6004] | 842 | zwx(:,:) = un_adv(:,:) |
---|
| 843 | zwy(:,:) = vn_adv(:,:) |
---|
[5845] | 844 | IF( ( kt == nit000 .AND. neuler==0 ) .OR. .NOT.ln_bt_fw ) THEN |
---|
[6004] | 845 | un_adv(:,:) = zwx(:,:) * r1_hu_n(:,:) |
---|
| 846 | vn_adv(:,:) = zwy(:,:) * r1_hv_n(:,:) |
---|
[4292] | 847 | ELSE |
---|
[6004] | 848 | un_adv(:,:) = z1_2 * ( ub2_b(:,:) + zwx(:,:) ) * r1_hu_n(:,:) |
---|
| 849 | vn_adv(:,:) = z1_2 * ( vb2_b(:,:) + zwy(:,:) ) * r1_hv_n(:,:) |
---|
[4292] | 850 | END IF |
---|
| 851 | |
---|
[5845] | 852 | IF( ln_bt_fw ) THEN ! Save integrated transport for next computation |
---|
[6004] | 853 | ub2_b(:,:) = zwx(:,:) |
---|
| 854 | vb2_b(:,:) = zwy(:,:) |
---|
[4292] | 855 | ENDIF |
---|
| 856 | ! |
---|
| 857 | ! Update barotropic trend: |
---|
[5866] | 858 | IF( ln_dynadv_vec .OR. ln_linssh ) THEN |
---|
[4292] | 859 | DO jk=1,jpkm1 |
---|
| 860 | ua(:,:,jk) = ua(:,:,jk) + ( ua_b(:,:) - ub_b(:,:) ) * z1_2dt_b |
---|
| 861 | va(:,:,jk) = va(:,:,jk) + ( va_b(:,:) - vb_b(:,:) ) * z1_2dt_b |
---|
| 862 | END DO |
---|
| 863 | ELSE |
---|
[6004] | 864 | ! At this stage, ssha has been corrected: compute new depths at velocity points |
---|
| 865 | DO jj = 1, jpjm1 |
---|
| 866 | DO ji = 1, jpim1 ! NO Vector Opt. |
---|
| 867 | zsshu_a(ji,jj) = z1_2 * umask(ji,jj,1) * r1_e1e2u(ji,jj) & |
---|
| 868 | & * ( e1e2t(ji ,jj) * ssha(ji ,jj) & |
---|
| 869 | & + e1e2t(ji+1,jj) * ssha(ji+1,jj) ) |
---|
| 870 | zsshv_a(ji,jj) = z1_2 * vmask(ji,jj,1) * r1_e1e2v(ji,jj) & |
---|
| 871 | & * ( e1e2t(ji,jj ) * ssha(ji,jj ) & |
---|
| 872 | & + e1e2t(ji,jj+1) * ssha(ji,jj+1) ) |
---|
| 873 | END DO |
---|
| 874 | END DO |
---|
| 875 | CALL lbc_lnk_multi( zsshu_a, 'U', 1._wp, zsshv_a, 'V', 1._wp ) ! Boundary conditions |
---|
| 876 | ! |
---|
[4292] | 877 | DO jk=1,jpkm1 |
---|
[5845] | 878 | ua(:,:,jk) = ua(:,:,jk) + r1_hu_n(:,:) * ( ua_b(:,:) - ub_b(:,:) * hu_b(:,:) ) * z1_2dt_b |
---|
| 879 | va(:,:,jk) = va(:,:,jk) + r1_hv_n(:,:) * ( va_b(:,:) - vb_b(:,:) * hv_b(:,:) ) * z1_2dt_b |
---|
[4292] | 880 | END DO |
---|
| 881 | ! Save barotropic velocities not transport: |
---|
[5845] | 882 | ua_b(:,:) = ua_b(:,:) / ( hu_0(:,:) + zsshu_a(:,:) + 1._wp - umask(:,:,1) ) |
---|
| 883 | va_b(:,:) = va_b(:,:) / ( hv_0(:,:) + zsshv_a(:,:) + 1._wp - vmask(:,:,1) ) |
---|
[4292] | 884 | ENDIF |
---|
| 885 | ! |
---|
| 886 | DO jk = 1, jpkm1 |
---|
| 887 | ! Correct velocities: |
---|
[5845] | 888 | un(:,:,jk) = ( un(:,:,jk) + un_adv(:,:) - un_b(:,:) ) * umask(:,:,jk) |
---|
| 889 | vn(:,:,jk) = ( vn(:,:,jk) + vn_adv(:,:) - vn_b(:,:) ) * vmask(:,:,jk) |
---|
[4292] | 890 | ! |
---|
[358] | 891 | END DO |
---|
[1502] | 892 | ! |
---|
[6004] | 893 | CALL iom_put( "ubar", un_adv(:,:) ) ! barotropic i-current |
---|
| 894 | CALL iom_put( "vbar", vn_adv(:,:) ) ! barotropic i-current |
---|
| 895 | ! |
---|
[4486] | 896 | #if defined key_agrif |
---|
| 897 | ! Save time integrated fluxes during child grid integration |
---|
[5656] | 898 | ! (used to update coarse grid transports at next time step) |
---|
[4486] | 899 | ! |
---|
[5845] | 900 | IF( .NOT.Agrif_Root() .AND. ln_bt_fw ) THEN |
---|
| 901 | IF( Agrif_NbStepint() == 0 ) THEN |
---|
| 902 | ub2_i_b(:,:) = 0._wp |
---|
| 903 | vb2_i_b(:,:) = 0._wp |
---|
[4486] | 904 | END IF |
---|
| 905 | ! |
---|
| 906 | za1 = 1._wp / REAL(Agrif_rhot(), wp) |
---|
| 907 | ub2_i_b(:,:) = ub2_i_b(:,:) + za1 * ub2_b(:,:) |
---|
| 908 | vb2_i_b(:,:) = vb2_i_b(:,:) + za1 * vb2_b(:,:) |
---|
| 909 | ENDIF |
---|
| 910 | #endif |
---|
[1502] | 911 | ! !* write time-spliting arrays in the restart |
---|
[5845] | 912 | IF( lrst_oce .AND.ln_bt_fw ) CALL ts_rst( kt, 'WRITE' ) |
---|
[508] | 913 | ! |
---|
[5845] | 914 | CALL wrk_dealloc( jpi,jpj, zsshp2_e, zhdiv ) |
---|
[6004] | 915 | CALL wrk_dealloc( jpi,jpj, zu_trd, zv_trd ) |
---|
| 916 | CALL wrk_dealloc( jpi,jpj, zwx, zwy, zssh_frc, zu_frc, zv_frc ) |
---|
[5845] | 917 | CALL wrk_dealloc( jpi,jpj, zhup2_e, zhvp2_e, zhust_e, zhvst_e ) |
---|
[6004] | 918 | CALL wrk_dealloc( jpi,jpj, zsshu_a, zsshv_a ) |
---|
[5845] | 919 | CALL wrk_dealloc( jpi,jpj, zhf ) |
---|
[1662] | 920 | ! |
---|
[3294] | 921 | IF( nn_timing == 1 ) CALL timing_stop('dyn_spg_ts') |
---|
[2715] | 922 | ! |
---|
[508] | 923 | END SUBROUTINE dyn_spg_ts |
---|
| 924 | |
---|
[5845] | 925 | |
---|
[4292] | 926 | SUBROUTINE ts_wgt( ll_av, ll_fw, jpit, zwgt1, zwgt2) |
---|
| 927 | !!--------------------------------------------------------------------- |
---|
| 928 | !! *** ROUTINE ts_wgt *** |
---|
| 929 | !! |
---|
| 930 | !! ** Purpose : Set time-splitting weights for temporal averaging (or not) |
---|
| 931 | !!---------------------------------------------------------------------- |
---|
| 932 | LOGICAL, INTENT(in) :: ll_av ! temporal averaging=.true. |
---|
| 933 | LOGICAL, INTENT(in) :: ll_fw ! forward time splitting =.true. |
---|
| 934 | INTEGER, INTENT(inout) :: jpit ! cycle length |
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| 935 | REAL(wp), DIMENSION(3*nn_baro), INTENT(inout) :: zwgt1, & ! Primary weights |
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| 936 | zwgt2 ! Secondary weights |
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| 937 | |
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| 938 | INTEGER :: jic, jn, ji ! temporary integers |
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| 939 | REAL(wp) :: za1, za2 |
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| 940 | !!---------------------------------------------------------------------- |
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[508] | 941 | |
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[4292] | 942 | zwgt1(:) = 0._wp |
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| 943 | zwgt2(:) = 0._wp |
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| 944 | |
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| 945 | ! Set time index when averaged value is requested |
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| 946 | IF (ll_fw) THEN |
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| 947 | jic = nn_baro |
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| 948 | ELSE |
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| 949 | jic = 2 * nn_baro |
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| 950 | ENDIF |
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| 951 | |
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| 952 | ! Set primary weights: |
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| 953 | IF (ll_av) THEN |
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| 954 | ! Define simple boxcar window for primary weights |
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| 955 | ! (width = nn_baro, centered around jic) |
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| 956 | SELECT CASE ( nn_bt_flt ) |
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| 957 | CASE( 0 ) ! No averaging |
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| 958 | zwgt1(jic) = 1._wp |
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| 959 | jpit = jic |
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| 960 | |
---|
| 961 | CASE( 1 ) ! Boxcar, width = nn_baro |
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| 962 | DO jn = 1, 3*nn_baro |
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| 963 | za1 = ABS(float(jn-jic))/float(nn_baro) |
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| 964 | IF (za1 < 0.5_wp) THEN |
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| 965 | zwgt1(jn) = 1._wp |
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| 966 | jpit = jn |
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| 967 | ENDIF |
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| 968 | ENDDO |
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| 969 | |
---|
| 970 | CASE( 2 ) ! Boxcar, width = 2 * nn_baro |
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| 971 | DO jn = 1, 3*nn_baro |
---|
| 972 | za1 = ABS(float(jn-jic))/float(nn_baro) |
---|
| 973 | IF (za1 < 1._wp) THEN |
---|
| 974 | zwgt1(jn) = 1._wp |
---|
| 975 | jpit = jn |
---|
| 976 | ENDIF |
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| 977 | ENDDO |
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| 978 | CASE DEFAULT ; CALL ctl_stop( 'unrecognised value for nn_bt_flt' ) |
---|
| 979 | END SELECT |
---|
| 980 | |
---|
| 981 | ELSE ! No time averaging |
---|
| 982 | zwgt1(jic) = 1._wp |
---|
| 983 | jpit = jic |
---|
| 984 | ENDIF |
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| 985 | |
---|
| 986 | ! Set secondary weights |
---|
| 987 | DO jn = 1, jpit |
---|
| 988 | DO ji = jn, jpit |
---|
| 989 | zwgt2(jn) = zwgt2(jn) + zwgt1(ji) |
---|
| 990 | END DO |
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| 991 | END DO |
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| 992 | |
---|
| 993 | ! Normalize weigths: |
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| 994 | za1 = 1._wp / SUM(zwgt1(1:jpit)) |
---|
| 995 | za2 = 1._wp / SUM(zwgt2(1:jpit)) |
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| 996 | DO jn = 1, jpit |
---|
| 997 | zwgt1(jn) = zwgt1(jn) * za1 |
---|
| 998 | zwgt2(jn) = zwgt2(jn) * za2 |
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| 999 | END DO |
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| 1000 | ! |
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| 1001 | END SUBROUTINE ts_wgt |
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| 1002 | |
---|
[6004] | 1003 | |
---|
[508] | 1004 | SUBROUTINE ts_rst( kt, cdrw ) |
---|
| 1005 | !!--------------------------------------------------------------------- |
---|
| 1006 | !! *** ROUTINE ts_rst *** |
---|
| 1007 | !! |
---|
| 1008 | !! ** Purpose : Read or write time-splitting arrays in restart file |
---|
| 1009 | !!---------------------------------------------------------------------- |
---|
| 1010 | INTEGER , INTENT(in) :: kt ! ocean time-step |
---|
| 1011 | CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag |
---|
| 1012 | ! |
---|
| 1013 | !!---------------------------------------------------------------------- |
---|
| 1014 | ! |
---|
| 1015 | IF( TRIM(cdrw) == 'READ' ) THEN |
---|
[4292] | 1016 | CALL iom_get( numror, jpdom_autoglo, 'ub2_b' , ub2_b (:,:) ) |
---|
| 1017 | CALL iom_get( numror, jpdom_autoglo, 'vb2_b' , vb2_b (:,:) ) |
---|
[4370] | 1018 | IF( .NOT.ln_bt_av ) THEN |
---|
[4292] | 1019 | CALL iom_get( numror, jpdom_autoglo, 'sshbb_e' , sshbb_e(:,:) ) |
---|
| 1020 | CALL iom_get( numror, jpdom_autoglo, 'ubb_e' , ubb_e(:,:) ) |
---|
| 1021 | CALL iom_get( numror, jpdom_autoglo, 'vbb_e' , vbb_e(:,:) ) |
---|
| 1022 | CALL iom_get( numror, jpdom_autoglo, 'sshb_e' , sshb_e(:,:) ) |
---|
| 1023 | CALL iom_get( numror, jpdom_autoglo, 'ub_e' , ub_e(:,:) ) |
---|
| 1024 | CALL iom_get( numror, jpdom_autoglo, 'vb_e' , vb_e(:,:) ) |
---|
[508] | 1025 | ENDIF |
---|
[4486] | 1026 | #if defined key_agrif |
---|
| 1027 | ! Read time integrated fluxes |
---|
| 1028 | IF ( .NOT.Agrif_Root() ) THEN |
---|
| 1029 | CALL iom_get( numror, jpdom_autoglo, 'ub2_i_b' , ub2_i_b(:,:) ) |
---|
| 1030 | CALL iom_get( numror, jpdom_autoglo, 'vb2_i_b' , vb2_i_b(:,:) ) |
---|
| 1031 | ENDIF |
---|
| 1032 | #endif |
---|
[4292] | 1033 | ! |
---|
| 1034 | ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN |
---|
| 1035 | CALL iom_rstput( kt, nitrst, numrow, 'ub2_b' , ub2_b (:,:) ) |
---|
| 1036 | CALL iom_rstput( kt, nitrst, numrow, 'vb2_b' , vb2_b (:,:) ) |
---|
| 1037 | ! |
---|
| 1038 | IF (.NOT.ln_bt_av) THEN |
---|
| 1039 | CALL iom_rstput( kt, nitrst, numrow, 'sshbb_e' , sshbb_e(:,:) ) |
---|
| 1040 | CALL iom_rstput( kt, nitrst, numrow, 'ubb_e' , ubb_e(:,:) ) |
---|
| 1041 | CALL iom_rstput( kt, nitrst, numrow, 'vbb_e' , vbb_e(:,:) ) |
---|
| 1042 | CALL iom_rstput( kt, nitrst, numrow, 'sshb_e' , sshb_e(:,:) ) |
---|
| 1043 | CALL iom_rstput( kt, nitrst, numrow, 'ub_e' , ub_e(:,:) ) |
---|
| 1044 | CALL iom_rstput( kt, nitrst, numrow, 'vb_e' , vb_e(:,:) ) |
---|
| 1045 | ENDIF |
---|
[4486] | 1046 | #if defined key_agrif |
---|
| 1047 | ! Save time integrated fluxes |
---|
| 1048 | IF ( .NOT.Agrif_Root() ) THEN |
---|
| 1049 | CALL iom_rstput( kt, nitrst, numrow, 'ub2_i_b' , ub2_i_b(:,:) ) |
---|
| 1050 | CALL iom_rstput( kt, nitrst, numrow, 'vb2_i_b' , vb2_i_b(:,:) ) |
---|
| 1051 | ENDIF |
---|
| 1052 | #endif |
---|
[4292] | 1053 | ENDIF |
---|
| 1054 | ! |
---|
| 1055 | END SUBROUTINE ts_rst |
---|
[2528] | 1056 | |
---|
[6004] | 1057 | |
---|
| 1058 | SUBROUTINE dyn_spg_ts_init |
---|
[4292] | 1059 | !!--------------------------------------------------------------------- |
---|
| 1060 | !! *** ROUTINE dyn_spg_ts_init *** |
---|
| 1061 | !! |
---|
| 1062 | !! ** Purpose : Set time splitting options |
---|
| 1063 | !!---------------------------------------------------------------------- |
---|
[6004] | 1064 | INTEGER :: ji ,jj ! dummy loop indices |
---|
| 1065 | REAL(wp) :: zxr2, zyr2, zcmax ! local scalar |
---|
| 1066 | REAL(wp), POINTER, DIMENSION(:,:) :: zcu |
---|
[4292] | 1067 | !!---------------------------------------------------------------------- |
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[4370] | 1068 | ! |
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[6004] | 1069 | ! Max courant number for ext. grav. waves |
---|
[4370] | 1070 | ! |
---|
[6004] | 1071 | CALL wrk_alloc( jpi,jpj, zcu ) |
---|
[4292] | 1072 | ! |
---|
[6004] | 1073 | DO jj = 1, jpj |
---|
| 1074 | DO ji =1, jpi |
---|
| 1075 | zxr2 = r1_e1t(ji,jj) * r1_e1t(ji,jj) |
---|
| 1076 | zyr2 = r1_e2t(ji,jj) * r1_e2t(ji,jj) |
---|
| 1077 | zcu(ji,jj) = SQRT( grav * ht_0(ji,jj) * (zxr2 + zyr2) ) |
---|
| 1078 | END DO |
---|
| 1079 | END DO |
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[4292] | 1080 | ! |
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[5836] | 1081 | zcmax = MAXVAL( zcu(:,:) ) |
---|
[4292] | 1082 | IF( lk_mpp ) CALL mpp_max( zcmax ) |
---|
[2528] | 1083 | |
---|
[4370] | 1084 | ! Estimate number of iterations to satisfy a max courant number= rn_bt_cmax |
---|
[6004] | 1085 | IF( ln_bt_auto ) nn_baro = CEILING( rdt / rn_bt_cmax * zcmax) |
---|
[4292] | 1086 | |
---|
[5836] | 1087 | rdtbt = rdt / REAL( nn_baro , wp ) |
---|
[4292] | 1088 | zcmax = zcmax * rdtbt |
---|
| 1089 | ! Print results |
---|
| 1090 | IF(lwp) WRITE(numout,*) |
---|
| 1091 | IF(lwp) WRITE(numout,*) 'dyn_spg_ts : split-explicit free surface' |
---|
| 1092 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~' |
---|
[6004] | 1093 | IF( ln_bt_auto ) THEN |
---|
| 1094 | IF(lwp) WRITE(numout,*) ' ln_ts_auto=.true. Automatically set nn_baro ' |
---|
[4370] | 1095 | IF(lwp) WRITE(numout,*) ' Max. courant number allowed: ', rn_bt_cmax |
---|
[4292] | 1096 | ELSE |
---|
[6004] | 1097 | IF(lwp) WRITE(numout,*) ' ln_ts_auto=.false.: Use nn_baro in namelist ' |
---|
[358] | 1098 | ENDIF |
---|
[4292] | 1099 | |
---|
| 1100 | IF(ln_bt_av) THEN |
---|
[4370] | 1101 | IF(lwp) WRITE(numout,*) ' ln_bt_av=.true. => Time averaging over nn_baro time steps is on ' |
---|
[4292] | 1102 | ELSE |
---|
[4370] | 1103 | IF(lwp) WRITE(numout,*) ' ln_bt_av=.false. => No time averaging of barotropic variables ' |
---|
[4292] | 1104 | ENDIF |
---|
[508] | 1105 | ! |
---|
[4292] | 1106 | ! |
---|
| 1107 | IF(ln_bt_fw) THEN |
---|
[4370] | 1108 | IF(lwp) WRITE(numout,*) ' ln_bt_fw=.true. => Forward integration of barotropic variables ' |
---|
[4292] | 1109 | ELSE |
---|
[4370] | 1110 | IF(lwp) WRITE(numout,*) ' ln_bt_fw =.false.=> Centred integration of barotropic variables ' |
---|
[4292] | 1111 | ENDIF |
---|
| 1112 | ! |
---|
[4486] | 1113 | #if defined key_agrif |
---|
| 1114 | ! Restrict the use of Agrif to the forward case only |
---|
[6004] | 1115 | IF( .NOT.ln_bt_fw .AND. .NOT.Agrif_Root() ) CALL ctl_stop( 'AGRIF not implemented if ln_bt_fw=.FALSE.' ) |
---|
[4486] | 1116 | #endif |
---|
| 1117 | ! |
---|
[4370] | 1118 | IF(lwp) WRITE(numout,*) ' Time filter choice, nn_bt_flt: ', nn_bt_flt |
---|
[4292] | 1119 | SELECT CASE ( nn_bt_flt ) |
---|
[6004] | 1120 | CASE( 0 ) ; IF(lwp) WRITE(numout,*) ' Dirac' |
---|
| 1121 | CASE( 1 ) ; IF(lwp) WRITE(numout,*) ' Boxcar: width = nn_baro' |
---|
| 1122 | CASE( 2 ) ; IF(lwp) WRITE(numout,*) ' Boxcar: width = 2*nn_baro' |
---|
| 1123 | CASE DEFAULT ; CALL ctl_stop( 'unrecognised value for nn_bt_flt: should 0,1,2' ) |
---|
[4292] | 1124 | END SELECT |
---|
| 1125 | ! |
---|
[4370] | 1126 | IF(lwp) WRITE(numout,*) ' ' |
---|
| 1127 | IF(lwp) WRITE(numout,*) ' nn_baro = ', nn_baro |
---|
| 1128 | IF(lwp) WRITE(numout,*) ' Barotropic time step [s] is :', rdtbt |
---|
| 1129 | IF(lwp) WRITE(numout,*) ' Maximum Courant number is :', zcmax |
---|
| 1130 | ! |
---|
[6004] | 1131 | IF( .NOT.ln_bt_av .AND. .NOT.ln_bt_fw ) THEN |
---|
[4292] | 1132 | CALL ctl_stop( 'dynspg_ts ERROR: No time averaging => only forward integration is possible' ) |
---|
| 1133 | ENDIF |
---|
[6004] | 1134 | IF( zcmax>0.9_wp ) THEN |
---|
[4292] | 1135 | CALL ctl_stop( 'dynspg_ts ERROR: Maximum Courant number is greater than 0.9: Inc. nn_baro !' ) |
---|
| 1136 | ENDIF |
---|
| 1137 | ! |
---|
[6004] | 1138 | CALL wrk_dealloc( jpi,jpj, zcu ) |
---|
[4292] | 1139 | ! |
---|
| 1140 | END SUBROUTINE dyn_spg_ts_init |
---|
[508] | 1141 | |
---|
[358] | 1142 | !!====================================================================== |
---|
| 1143 | END MODULE dynspg_ts |
---|