[358] | 1 | MODULE dynspg_ts |
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[9023] | 2 | |
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| 3 | !! Includes ROMS wd scheme with diagnostic outputs ; un and ua updates are commented out ! |
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| 4 | |
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[358] | 5 | !!====================================================================== |
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[6140] | 6 | !! *** MODULE dynspg_ts *** |
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| 7 | !! Ocean dynamics: surface pressure gradient trend, split-explicit scheme |
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| 8 | !!====================================================================== |
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[1502] | 9 | !! History : 1.0 ! 2004-12 (L. Bessieres, G. Madec) Original code |
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| 10 | !! - ! 2005-11 (V. Garnier, G. Madec) optimization |
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| 11 | !! - ! 2006-08 (S. Masson) distributed restart using iom |
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| 12 | !! 2.0 ! 2007-07 (D. Storkey) calls to BDY routines |
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| 13 | !! - ! 2008-01 (R. Benshila) change averaging method |
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| 14 | !! 3.2 ! 2009-07 (R. Benshila, G. Madec) Complete revisit associated to vvl reactivation |
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[2528] | 15 | !! 3.3 ! 2010-09 (D. Storkey, E. O'Dea) update for BDY for Shelf configurations |
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[2724] | 16 | !! 3.3 ! 2011-03 (R. Benshila, R. Hordoir, P. Oddo) update calculation of ub_b |
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[4292] | 17 | !! 3.5 ! 2013-07 (J. Chanut) Switch to Forward-backward time stepping |
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| 18 | !! 3.6 ! 2013-11 (A. Coward) Update for z-tilde compatibility |
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[5930] | 19 | !! 3.7 ! 2015-11 (J. Chanut) free surface simplification |
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[7646] | 20 | !! - ! 2016-12 (G. Madec, E. Clementi) update for Stoke-Drift divergence |
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[9019] | 21 | !! 4.0 ! 2017-05 (G. Madec) drag coef. defined at t-point (zdfdrg.F90) |
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[2724] | 22 | !!--------------------------------------------------------------------- |
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[6140] | 23 | |
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[358] | 24 | !!---------------------------------------------------------------------- |
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[6140] | 25 | !! dyn_spg_ts : compute surface pressure gradient trend using a time-splitting scheme |
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| 26 | !! dyn_spg_ts_init: initialisation of the time-splitting scheme |
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| 27 | !! ts_wgt : set time-splitting weights for temporal averaging (or not) |
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| 28 | !! ts_rst : read/write time-splitting fields in restart file |
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[358] | 29 | !!---------------------------------------------------------------------- |
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| 30 | USE oce ! ocean dynamics and tracers |
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| 31 | USE dom_oce ! ocean space and time domain |
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[888] | 32 | USE sbc_oce ! surface boundary condition: ocean |
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[9019] | 33 | USE zdf_oce ! vertical physics: variables |
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| 34 | USE zdfdrg ! vertical physics: top/bottom drag coef. |
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[5120] | 35 | USE sbcisf ! ice shelf variable (fwfisf) |
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[6140] | 36 | USE sbcapr ! surface boundary condition: atmospheric pressure |
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| 37 | USE dynadv , ONLY: ln_dynadv_vec |
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[358] | 38 | USE phycst ! physical constants |
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| 39 | USE dynvor ! vorticity term |
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[6152] | 40 | USE wet_dry ! wetting/drying flux limter |
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[7646] | 41 | USE bdy_oce ! open boundary |
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[5930] | 42 | USE bdytides ! open boundary condition data |
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[3294] | 43 | USE bdydyn2d ! open boundary conditions on barotropic variables |
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[4292] | 44 | USE sbctide ! tides |
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| 45 | USE updtide ! tide potential |
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[7646] | 46 | USE sbcwave ! surface wave |
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[9019] | 47 | USE diatmb ! Top,middle,bottom output |
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| 48 | #if defined key_agrif |
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| 49 | USE agrif_opa_interp ! agrif |
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[9124] | 50 | USE agrif_oce |
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[9019] | 51 | #endif |
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| 52 | #if defined key_asminc |
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| 53 | USE asminc ! Assimilation increment |
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| 54 | #endif |
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[6140] | 55 | ! |
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| 56 | USE in_out_manager ! I/O manager |
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[358] | 57 | USE lib_mpp ! distributed memory computing library |
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| 58 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 59 | USE prtctl ! Print control |
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[2715] | 60 | USE iom ! IOM library |
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[4292] | 61 | USE restart ! only for lrst_oce |
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[9023] | 62 | USE diatmb ! Top,middle,bottom output |
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[358] | 63 | |
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| 64 | IMPLICIT NONE |
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| 65 | PRIVATE |
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| 66 | |
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[9124] | 67 | PUBLIC dyn_spg_ts ! called by dyn_spg |
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| 68 | PUBLIC dyn_spg_ts_init ! - - dyn_spg_init |
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[358] | 69 | |
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[9019] | 70 | !! Time filtered arrays at baroclinic time step: |
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| 71 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: un_adv , vn_adv !: Advection vel. at "now" barocl. step |
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[9124] | 72 | ! |
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[9023] | 73 | INTEGER, SAVE :: icycle ! Number of barotropic sub-steps for each internal step nn_baro <= 2.5 nn_baro |
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| 74 | REAL(wp),SAVE :: rdtbt ! Barotropic time step |
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[9019] | 75 | ! |
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| 76 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:) :: wgtbtp1, wgtbtp2 ! 1st & 2nd weights used in time filtering of barotropic fields |
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[9124] | 77 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: zwz ! ff_f/h at F points |
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| 78 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: ftnw, ftne ! triad of coriolis parameter |
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| 79 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: ftsw, ftse ! (only used with een vorticity scheme) |
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[4292] | 80 | |
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[9043] | 81 | REAL(wp) :: r1_12 = 1._wp / 12._wp ! local ratios |
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| 82 | REAL(wp) :: r1_8 = 0.125_wp ! |
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| 83 | REAL(wp) :: r1_4 = 0.25_wp ! |
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| 84 | REAL(wp) :: r1_2 = 0.5_wp ! |
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[508] | 85 | |
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[358] | 86 | !! * Substitutions |
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| 87 | # include "vectopt_loop_substitute.h90" |
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[2715] | 88 | !!---------------------------------------------------------------------- |
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[9019] | 89 | !! NEMO/OPA 4.0 , NEMO Consortium (2017) |
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[5217] | 90 | !! $Id$ |
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[2715] | 91 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 92 | !!---------------------------------------------------------------------- |
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[358] | 93 | CONTAINS |
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| 94 | |
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[2715] | 95 | INTEGER FUNCTION dyn_spg_ts_alloc() |
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| 96 | !!---------------------------------------------------------------------- |
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| 97 | !! *** routine dyn_spg_ts_alloc *** |
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| 98 | !!---------------------------------------------------------------------- |
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[6140] | 99 | INTEGER :: ierr(3) |
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[4292] | 100 | !!---------------------------------------------------------------------- |
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| 101 | ierr(:) = 0 |
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[6140] | 102 | ! |
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| 103 | ALLOCATE( wgtbtp1(3*nn_baro), wgtbtp2(3*nn_baro), zwz(jpi,jpj), STAT=ierr(1) ) |
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| 104 | ! |
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| 105 | IF( ln_dynvor_een ) ALLOCATE( ftnw(jpi,jpj) , ftne(jpi,jpj) , & |
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| 106 | & ftsw(jpi,jpj) , ftse(jpi,jpj) , STAT=ierr(2) ) |
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| 107 | ! |
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| 108 | ALLOCATE( un_adv(jpi,jpj), vn_adv(jpi,jpj) , STAT=ierr(3) ) |
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| 109 | ! |
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| 110 | dyn_spg_ts_alloc = MAXVAL( ierr(:) ) |
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| 111 | ! |
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[2715] | 112 | IF( lk_mpp ) CALL mpp_sum( dyn_spg_ts_alloc ) |
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[5930] | 113 | IF( dyn_spg_ts_alloc /= 0 ) CALL ctl_warn('dyn_spg_ts_alloc: failed to allocate arrays') |
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[2715] | 114 | ! |
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| 115 | END FUNCTION dyn_spg_ts_alloc |
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| 116 | |
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[5836] | 117 | |
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[358] | 118 | SUBROUTINE dyn_spg_ts( kt ) |
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| 119 | !!---------------------------------------------------------------------- |
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| 120 | !! |
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[6140] | 121 | !! ** Purpose : - Compute the now trend due to the explicit time stepping |
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| 122 | !! of the quasi-linear barotropic system, and add it to the |
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| 123 | !! general momentum trend. |
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[358] | 124 | !! |
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[6140] | 125 | !! ** Method : - split-explicit schem (time splitting) : |
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[4374] | 126 | !! Barotropic variables are advanced from internal time steps |
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| 127 | !! "n" to "n+1" if ln_bt_fw=T |
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| 128 | !! or from |
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| 129 | !! "n-1" to "n+1" if ln_bt_fw=F |
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| 130 | !! thanks to a generalized forward-backward time stepping (see ref. below). |
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[358] | 131 | !! |
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[4374] | 132 | !! ** Action : |
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| 133 | !! -Update the filtered free surface at step "n+1" : ssha |
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| 134 | !! -Update filtered barotropic velocities at step "n+1" : ua_b, va_b |
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[9023] | 135 | !! -Compute barotropic advective fluxes at step "n" : un_adv, vn_adv |
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[4374] | 136 | !! These are used to advect tracers and are compliant with discrete |
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| 137 | !! continuity equation taken at the baroclinic time steps. This |
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| 138 | !! ensures tracers conservation. |
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[6140] | 139 | !! - (ua, va) momentum trend updated with barotropic component. |
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[358] | 140 | !! |
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[6140] | 141 | !! References : Shchepetkin and McWilliams, Ocean Modelling, 2005. |
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[358] | 142 | !!--------------------------------------------------------------------- |
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[1502] | 143 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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[2715] | 144 | ! |
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[4292] | 145 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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[9019] | 146 | LOGICAL :: ll_fw_start ! =T : forward integration |
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| 147 | LOGICAL :: ll_init ! =T : special startup of 2d equations |
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| 148 | LOGICAL :: ll_tmp1, ll_tmp2 ! local logical variables used in W/D |
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| 149 | INTEGER :: ikbu, iktu, noffset ! local integers |
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| 150 | INTEGER :: ikbv, iktv ! - - |
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[9043] | 151 | REAL(wp) :: r1_2dt_b, z2dt_bf ! local scalars |
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[9019] | 152 | REAL(wp) :: zx1, zx2, zu_spg, zhura ! - - |
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| 153 | REAL(wp) :: zy1, zy2, zv_spg, zhvra ! - - |
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| 154 | REAL(wp) :: za0, za1, za2, za3 ! - - |
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| 155 | REAL(wp) :: zmdi, zztmp ! - - |
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| 156 | REAL(wp), DIMENSION(jpi,jpj) :: zsshp2_e, zhf |
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| 157 | REAL(wp), DIMENSION(jpi,jpj) :: zwx, zu_trd, zu_frc, zssh_frc |
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| 158 | REAL(wp), DIMENSION(jpi,jpj) :: zwy, zv_trd, zv_frc, zhdiv |
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| 159 | REAL(wp), DIMENSION(jpi,jpj) :: zsshu_a, zhup2_e, zhust_e |
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| 160 | REAL(wp), DIMENSION(jpi,jpj) :: zsshv_a, zhvp2_e, zhvst_e |
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| 161 | REAL(wp), DIMENSION(jpi,jpj) :: zCdU_u, zCdU_v ! top/bottom stress at u- & v-points |
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[3294] | 162 | ! |
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[9023] | 163 | REAL(wp) :: zwdramp ! local scalar - only used if ln_wd_dl = .True. |
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| 164 | |
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| 165 | INTEGER :: iwdg, jwdg, kwdg ! short-hand values for the indices of the output point |
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| 166 | |
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| 167 | REAL(wp) :: zepsilon, zgamma ! - - |
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[9019] | 168 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zcpx, zcpy ! Wetting/Dying gravity filter coef. |
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[9023] | 169 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: ztwdmask, zuwdmask, zvwdmask ! ROMS wetting and drying masks at t,u,v points |
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| 170 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zuwdav2, zvwdav2 ! averages over the sub-steps of zuwdmask and zvwdmask |
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[358] | 171 | !!---------------------------------------------------------------------- |
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[3294] | 172 | ! |
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[9023] | 173 | IF( ln_wd_il ) ALLOCATE( zcpx(jpi,jpj), zcpy(jpi,jpj) ) |
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| 174 | ! !* Allocate temporary arrays |
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| 175 | IF( ln_wd_dl ) ALLOCATE( ztwdmask(jpi,jpj), zuwdmask(jpi,jpj), zvwdmask(jpi,jpj), zuwdav2(jpi,jpj), zvwdav2(jpi,jpj)) |
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[3294] | 176 | ! |
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[6140] | 177 | zmdi=1.e+20 ! missing data indicator for masking |
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[9019] | 178 | ! |
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[9023] | 179 | zwdramp = r_rn_wdmin1 ! simplest ramp |
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| 180 | ! zwdramp = 1._wp / (rn_wdmin2 - rn_wdmin1) ! more general ramp |
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| 181 | ! ! reciprocal of baroclinic time step |
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[6140] | 182 | IF( kt == nit000 .AND. neuler == 0 ) THEN ; z2dt_bf = rdt |
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| 183 | ELSE ; z2dt_bf = 2.0_wp * rdt |
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[4292] | 184 | ENDIF |
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[9043] | 185 | r1_2dt_b = 1.0_wp / z2dt_bf |
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[4292] | 186 | ! |
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[9023] | 187 | ll_init = ln_bt_av ! if no time averaging, then no specific restart |
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[4292] | 188 | ll_fw_start = .FALSE. |
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[9023] | 189 | ! ! time offset in steps for bdy data update |
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[6140] | 190 | IF( .NOT.ln_bt_fw ) THEN ; noffset = - nn_baro |
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| 191 | ELSE ; noffset = 0 |
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| 192 | ENDIF |
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[4292] | 193 | ! |
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[9023] | 194 | IF( kt == nit000 ) THEN !* initialisation |
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[508] | 195 | ! |
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[358] | 196 | IF(lwp) WRITE(numout,*) |
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| 197 | IF(lwp) WRITE(numout,*) 'dyn_spg_ts : surface pressure gradient trend' |
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| 198 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~ free surface with time splitting' |
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[4354] | 199 | IF(lwp) WRITE(numout,*) |
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[1502] | 200 | ! |
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[6140] | 201 | IF( neuler == 0 ) ll_init=.TRUE. |
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[1502] | 202 | ! |
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[6140] | 203 | IF( ln_bt_fw .OR. neuler == 0 ) THEN |
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| 204 | ll_fw_start =.TRUE. |
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| 205 | noffset = 0 |
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[4292] | 206 | ELSE |
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[6140] | 207 | ll_fw_start =.FALSE. |
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[4292] | 208 | ENDIF |
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| 209 | ! |
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| 210 | ! Set averaging weights and cycle length: |
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[6140] | 211 | CALL ts_wgt( ln_bt_av, ll_fw_start, icycle, wgtbtp1, wgtbtp2 ) |
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[4292] | 212 | ! |
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| 213 | ENDIF |
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| 214 | ! |
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[9019] | 215 | IF( ln_isfcav ) THEN ! top+bottom friction (ocean cavities) |
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| 216 | DO jj = 2, jpjm1 |
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| 217 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[9112] | 218 | zCdU_u(ji,jj) = r1_2*( rCdU_bot(ji+1,jj)+rCdU_bot(ji,jj) + rCdU_top(ji+1,jj)+rCdU_top(ji,jj) ) |
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| 219 | zCdU_v(ji,jj) = r1_2*( rCdU_bot(ji,jj+1)+rCdU_bot(ji,jj) + rCdU_top(ji,jj+1)+rCdU_top(ji,jj) ) |
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[9019] | 220 | END DO |
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| 221 | END DO |
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| 222 | ELSE ! bottom friction only |
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| 223 | DO jj = 2, jpjm1 |
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| 224 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[9112] | 225 | zCdU_u(ji,jj) = r1_2*( rCdU_bot(ji+1,jj)+rCdU_bot(ji,jj) ) |
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| 226 | zCdU_v(ji,jj) = r1_2*( rCdU_bot(ji,jj+1)+rCdU_bot(ji,jj) ) |
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[9019] | 227 | END DO |
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| 228 | END DO |
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| 229 | ENDIF |
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| 230 | ! |
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[4292] | 231 | ! Set arrays to remove/compute coriolis trend. |
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| 232 | ! Do it once at kt=nit000 if volume is fixed, else at each long time step. |
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| 233 | ! Note that these arrays are also used during barotropic loop. These are however frozen |
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[4374] | 234 | ! although they should be updated in the variable volume case. Not a big approximation. |
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[4292] | 235 | ! To remove this approximation, copy lines below inside barotropic loop |
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[4374] | 236 | ! and update depths at T-F points (ht and zhf resp.) at each barotropic time step |
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[4292] | 237 | ! |
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[6140] | 238 | IF( kt == nit000 .OR. .NOT.ln_linssh ) THEN |
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| 239 | IF( ln_dynvor_een ) THEN !== EEN scheme ==! |
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[7646] | 240 | SELECT CASE( nn_een_e3f ) !* ff_f/e3 at F-point |
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[5836] | 241 | CASE ( 0 ) ! original formulation (masked averaging of e3t divided by 4) |
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| 242 | DO jj = 1, jpjm1 |
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| 243 | DO ji = 1, jpim1 |
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[6140] | 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 ) ) * 0.25_wp |
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[7646] | 246 | IF( zwz(ji,jj) /= 0._wp ) zwz(ji,jj) = ff_f(ji,jj) / zwz(ji,jj) |
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[5836] | 247 | END DO |
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[5032] | 248 | END DO |
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[5836] | 249 | CASE ( 1 ) ! new formulation (masked averaging of e3t divided by the sum of mask) |
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| 250 | DO jj = 1, jpjm1 |
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| 251 | DO ji = 1, jpim1 |
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[6140] | 252 | zwz(ji,jj) = ( ht_n(ji ,jj+1) + ht_n(ji+1,jj+1) + & |
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| 253 | & ht_n(ji ,jj ) + ht_n(ji+1,jj ) ) & |
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[5836] | 254 | & / ( MAX( 1._wp, tmask(ji ,jj+1, 1) + tmask(ji+1,jj+1, 1) + & |
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[4292] | 255 | & tmask(ji ,jj , 1) + tmask(ji+1,jj , 1) ) ) |
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[7646] | 256 | IF( zwz(ji,jj) /= 0._wp ) zwz(ji,jj) = ff_f(ji,jj) / zwz(ji,jj) |
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[5836] | 257 | END DO |
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[4292] | 258 | END DO |
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[5836] | 259 | END SELECT |
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[4292] | 260 | CALL lbc_lnk( zwz, 'F', 1._wp ) |
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[5836] | 261 | ! |
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[7753] | 262 | ftne(1,:) = 0._wp ; ftnw(1,:) = 0._wp ; ftse(1,:) = 0._wp ; ftsw(1,:) = 0._wp |
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[358] | 263 | DO jj = 2, jpj |
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[5836] | 264 | DO ji = 2, jpi |
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[4292] | 265 | ftne(ji,jj) = zwz(ji-1,jj ) + zwz(ji ,jj ) + zwz(ji ,jj-1) |
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| 266 | ftnw(ji,jj) = zwz(ji-1,jj-1) + zwz(ji-1,jj ) + zwz(ji ,jj ) |
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| 267 | ftse(ji,jj) = zwz(ji ,jj ) + zwz(ji ,jj-1) + zwz(ji-1,jj-1) |
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| 268 | ftsw(ji,jj) = zwz(ji ,jj-1) + zwz(ji-1,jj-1) + zwz(ji-1,jj ) |
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[358] | 269 | END DO |
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| 270 | END DO |
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[5836] | 271 | ! |
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| 272 | ELSE !== all other schemes (ENE, ENS, MIX) |
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[7753] | 273 | zwz(:,:) = 0._wp |
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| 274 | zhf(:,:) = 0._wp |
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[7646] | 275 | |
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[9124] | 276 | !!gm assume 0 in both cases (which is almost surely WRONG ! ) as hvatf has been removed |
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[7646] | 277 | !!gm A priori a better value should be something like : |
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| 278 | !!gm zhf(i,j) = masked sum of ht(i,j) , ht(i+1,j) , ht(i,j+1) , (i+1,j+1) |
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| 279 | !!gm divided by the sum of the corresponding mask |
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| 280 | !!gm |
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| 281 | !! |
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[9019] | 282 | IF( .NOT.ln_sco ) THEN |
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[7646] | 283 | |
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| 284 | !!gm agree the JC comment : this should be done in a much clear way |
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| 285 | |
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| 286 | ! JC: It not clear yet what should be the depth at f-points over land in z-coordinate case |
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| 287 | ! Set it to zero for the time being |
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| 288 | ! IF( rn_hmin < 0._wp ) THEN ; jk = - INT( rn_hmin ) ! from a nb of level |
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| 289 | ! ELSE ; jk = MINLOC( gdepw_0, mask = gdepw_0 > rn_hmin, dim = 1 ) ! from a depth |
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| 290 | ! ENDIF |
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| 291 | ! zhf(:,:) = gdepw_0(:,:,jk+1) |
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| 292 | ELSE |
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| 293 | !zhf(:,:) = hbatf(:,:) |
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| 294 | DO jj = 1, jpjm1 |
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| 295 | DO ji = 1, jpim1 |
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| 296 | zhf(ji,jj) = MAX( 0._wp, & |
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| 297 | & ( ht_0(ji ,jj )*tmask(ji ,jj ,1) + & |
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| 298 | & ht_0(ji+1,jj )*tmask(ji+1,jj ,1) + & |
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| 299 | & ht_0(ji ,jj+1)*tmask(ji ,jj+1,1) + & |
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| 300 | & ht_0(ji+1,jj+1)*tmask(ji+1,jj+1,1) ) / & |
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| 301 | & ( tmask(ji ,jj ,1) + tmask(ji+1,jj ,1) +& |
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| 302 | & tmask(ji ,jj+1,1) + tmask(ji+1,jj+1,1) +& |
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| 303 | & rsmall ) ) |
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| 304 | END DO |
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| 305 | END DO |
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| 306 | END IF |
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| 307 | |
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| 308 | DO jj = 1, jpjm1 |
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[7753] | 309 | zhf(:,jj) = zhf(:,jj) * (1._wp- umask(:,jj,1) * umask(:,jj+1,1)) |
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[7646] | 310 | END DO |
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| 311 | !!gm end |
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[5836] | 312 | |
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[4292] | 313 | DO jk = 1, jpkm1 |
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| 314 | DO jj = 1, jpjm1 |
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[7753] | 315 | zhf(:,jj) = zhf(:,jj) + e3f_n(:,jj,jk) * umask(:,jj,jk) * umask(:,jj+1,jk) |
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[4292] | 316 | END DO |
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| 317 | END DO |
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[4370] | 318 | CALL lbc_lnk( zhf, 'F', 1._wp ) |
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[4292] | 319 | ! JC: TBC. hf should be greater than 0 |
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| 320 | DO jj = 1, jpj |
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| 321 | DO ji = 1, jpi |
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[4370] | 322 | 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] | 323 | END DO |
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| 324 | END DO |
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[7753] | 325 | zwz(:,:) = ff_f(:,:) * zwz(:,:) |
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[358] | 326 | ENDIF |
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[508] | 327 | ENDIF |
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[1502] | 328 | ! |
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[4292] | 329 | ! If forward start at previous time step, and centered integration, |
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| 330 | ! then update averaging weights: |
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[5836] | 331 | IF (.NOT.ln_bt_fw .AND.( neuler==0 .AND. kt==nit000+1 ) ) THEN |
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[4292] | 332 | ll_fw_start=.FALSE. |
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[9019] | 333 | CALL ts_wgt( ln_bt_av, ll_fw_start, icycle, wgtbtp1, wgtbtp2 ) |
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[4292] | 334 | ENDIF |
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| 335 | |
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[358] | 336 | ! ----------------------------------------------------------------------------- |
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| 337 | ! Phase 1 : Coupling between general trend and barotropic estimates (1st step) |
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| 338 | ! ----------------------------------------------------------------------------- |
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[1502] | 339 | ! |
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[4292] | 340 | ! |
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[4354] | 341 | ! !* e3*d/dt(Ua) (Vertically integrated) |
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[4292] | 342 | ! ! -------------------------------------------------- |
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[7753] | 343 | zu_frc(:,:) = 0._wp |
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| 344 | zv_frc(:,:) = 0._wp |
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[1502] | 345 | ! |
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| 346 | DO jk = 1, jpkm1 |
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[7753] | 347 | zu_frc(:,:) = zu_frc(:,:) + e3u_n(:,:,jk) * ua(:,:,jk) * umask(:,:,jk) |
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| 348 | zv_frc(:,:) = zv_frc(:,:) + e3v_n(:,:,jk) * va(:,:,jk) * vmask(:,:,jk) |
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[1502] | 349 | END DO |
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[4292] | 350 | ! |
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[7753] | 351 | zu_frc(:,:) = zu_frc(:,:) * r1_hu_n(:,:) |
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| 352 | zv_frc(:,:) = zv_frc(:,:) * r1_hv_n(:,:) |
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[4292] | 353 | ! |
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[7753] | 354 | ! |
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[1502] | 355 | ! !* baroclinic momentum trend (remove the vertical mean trend) |
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[4292] | 356 | DO jk = 1, jpkm1 ! ----------------------------------------------------------- |
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[1502] | 357 | DO jj = 2, jpjm1 |
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| 358 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[4292] | 359 | ua(ji,jj,jk) = ua(ji,jj,jk) - zu_frc(ji,jj) * umask(ji,jj,jk) |
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| 360 | va(ji,jj,jk) = va(ji,jj,jk) - zv_frc(ji,jj) * vmask(ji,jj,jk) |
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[1502] | 361 | END DO |
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[358] | 362 | END DO |
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[1502] | 363 | END DO |
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[7646] | 364 | |
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| 365 | !!gm Question here when removing the Vertically integrated trends, we remove the vertically integrated NL trends on momentum.... |
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| 366 | !!gm Is it correct to do so ? I think so... |
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| 367 | |
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| 368 | |
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[4292] | 369 | ! !* barotropic Coriolis trends (vorticity scheme dependent) |
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| 370 | ! ! -------------------------------------------------------- |
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[7753] | 371 | zwx(:,:) = un_b(:,:) * hu_n(:,:) * e2u(:,:) ! now fluxes |
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| 372 | zwy(:,:) = vn_b(:,:) * hv_n(:,:) * e1v(:,:) |
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[1502] | 373 | ! |
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[358] | 374 | IF( ln_dynvor_ene .OR. ln_dynvor_mix ) THEN ! energy conserving or mixed scheme |
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| 375 | DO jj = 2, jpjm1 |
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| 376 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[5836] | 377 | zy1 = ( zwy(ji,jj-1) + zwy(ji+1,jj-1) ) * r1_e1u(ji,jj) |
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| 378 | zy2 = ( zwy(ji,jj ) + zwy(ji+1,jj ) ) * r1_e1u(ji,jj) |
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| 379 | zx1 = ( zwx(ji-1,jj) + zwx(ji-1,jj+1) ) * r1_e2v(ji,jj) |
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| 380 | zx2 = ( zwx(ji ,jj) + zwx(ji ,jj+1) ) * r1_e2v(ji,jj) |
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[358] | 381 | ! energy conserving formulation for planetary vorticity term |
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[9043] | 382 | zu_trd(ji,jj) = r1_4 * ( zwz(ji ,jj-1) * zy1 + zwz(ji,jj) * zy2 ) |
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| 383 | zv_trd(ji,jj) = - r1_4 * ( zwz(ji-1,jj ) * zx1 + zwz(ji,jj) * zx2 ) |
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[358] | 384 | END DO |
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| 385 | END DO |
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[508] | 386 | ! |
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[4374] | 387 | ELSEIF ( ln_dynvor_ens ) THEN ! enstrophy conserving scheme |
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[358] | 388 | DO jj = 2, jpjm1 |
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| 389 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[9043] | 390 | zy1 = r1_8 * ( zwy(ji ,jj-1) + zwy(ji+1,jj-1) & |
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[5836] | 391 | & + zwy(ji ,jj ) + zwy(ji+1,jj ) ) * r1_e1u(ji,jj) |
---|
[9043] | 392 | zx1 = - r1_8 * ( zwx(ji-1,jj ) + zwx(ji-1,jj+1) & |
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[5836] | 393 | & + zwx(ji ,jj ) + zwx(ji ,jj+1) ) * r1_e2v(ji,jj) |
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[4292] | 394 | zu_trd(ji,jj) = zy1 * ( zwz(ji ,jj-1) + zwz(ji,jj) ) |
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| 395 | zv_trd(ji,jj) = zx1 * ( zwz(ji-1,jj ) + zwz(ji,jj) ) |
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[358] | 396 | END DO |
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| 397 | END DO |
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[508] | 398 | ! |
---|
[5836] | 399 | ELSEIF ( ln_dynvor_een ) THEN ! enstrophy and energy conserving scheme |
---|
[358] | 400 | DO jj = 2, jpjm1 |
---|
| 401 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[9043] | 402 | zu_trd(ji,jj) = + r1_12 * r1_e1u(ji,jj) * ( ftne(ji,jj ) * zwy(ji ,jj ) & |
---|
[5836] | 403 | & + ftnw(ji+1,jj) * zwy(ji+1,jj ) & |
---|
| 404 | & + ftse(ji,jj ) * zwy(ji ,jj-1) & |
---|
| 405 | & + ftsw(ji+1,jj) * zwy(ji+1,jj-1) ) |
---|
[9043] | 406 | zv_trd(ji,jj) = - r1_12 * r1_e2v(ji,jj) * ( ftsw(ji,jj+1) * zwx(ji-1,jj+1) & |
---|
[5836] | 407 | & + ftse(ji,jj+1) * zwx(ji ,jj+1) & |
---|
| 408 | & + ftnw(ji,jj ) * zwx(ji-1,jj ) & |
---|
| 409 | & + ftne(ji,jj ) * zwx(ji ,jj ) ) |
---|
[358] | 410 | END DO |
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| 411 | END DO |
---|
[508] | 412 | ! |
---|
[4292] | 413 | ENDIF |
---|
| 414 | ! |
---|
[1502] | 415 | ! !* Right-Hand-Side of the barotropic momentum equation |
---|
| 416 | ! ! ---------------------------------------------------- |
---|
[6140] | 417 | IF( .NOT.ln_linssh ) THEN ! Variable volume : remove surface pressure gradient |
---|
[9023] | 418 | IF( ln_wd_il ) THEN ! Calculating and applying W/D gravity filters |
---|
| 419 | DO jj = 2, jpjm1 |
---|
| 420 | DO ji = 2, jpim1 |
---|
| 421 | ll_tmp1 = MIN( sshn(ji,jj) , sshn(ji+1,jj) ) > & |
---|
| 422 | & MAX( -ht_0(ji,jj) , -ht_0(ji+1,jj) ) .AND. & |
---|
| 423 | & MAX( sshn(ji,jj) + ht_0(ji,jj) , sshn(ji+1,jj) + ht_0(ji+1,jj) ) & |
---|
| 424 | & > rn_wdmin1 + rn_wdmin2 |
---|
| 425 | ll_tmp2 = ( ABS( sshn(ji+1,jj) - sshn(ji ,jj)) > 1.E-12 ).AND.( & |
---|
| 426 | & MAX( sshn(ji,jj) , sshn(ji+1,jj) ) > & |
---|
| 427 | & MAX( -ht_0(ji,jj) , -ht_0(ji+1,jj) ) + rn_wdmin1 + rn_wdmin2 ) |
---|
| 428 | |
---|
| 429 | IF(ll_tmp1) THEN |
---|
| 430 | zcpx(ji,jj) = 1.0_wp |
---|
| 431 | ELSE IF(ll_tmp2) THEN |
---|
| 432 | ! no worries about sshn(ji+1,jj) - sshn(ji ,jj) = 0, it won't happen ! here |
---|
| 433 | zcpx(ji,jj) = ABS( (sshn(ji+1,jj) + ht_0(ji+1,jj) - sshn(ji,jj) - ht_0(ji,jj)) & |
---|
| 434 | & / (sshn(ji+1,jj) - sshn(ji ,jj)) ) |
---|
| 435 | zcpx(ji,jj) = max(min( zcpx(ji,jj) , 1.0_wp),0.0_wp) |
---|
| 436 | |
---|
| 437 | ELSE |
---|
| 438 | zcpx(ji,jj) = 0._wp |
---|
| 439 | END IF |
---|
| 440 | |
---|
| 441 | ll_tmp1 = MIN( sshn(ji,jj) , sshn(ji,jj+1) ) > & |
---|
| 442 | & MAX( -ht_0(ji,jj) , -ht_0(ji,jj+1) ) .AND. & |
---|
| 443 | & MAX( sshn(ji,jj) + ht_0(ji,jj) , sshn(ji,jj+1) + ht_0(ji,jj+1) ) & |
---|
| 444 | & > rn_wdmin1 + rn_wdmin2 |
---|
| 445 | ll_tmp2 = ( ABS( sshn(ji,jj) - sshn(ji,jj+1)) > 1.E-12 ).AND.( & |
---|
| 446 | & MAX( sshn(ji,jj) , sshn(ji,jj+1) ) > & |
---|
| 447 | & MAX( -ht_0(ji,jj) , -ht_0(ji,jj+1) ) + rn_wdmin1 + rn_wdmin2 ) |
---|
| 448 | |
---|
| 449 | IF(ll_tmp1) THEN |
---|
| 450 | zcpy(ji,jj) = 1.0_wp |
---|
| 451 | ELSE IF(ll_tmp2) THEN |
---|
| 452 | ! no worries about sshn(ji,jj+1) - sshn(ji,jj ) = 0, it won't happen ! here |
---|
| 453 | zcpy(ji,jj) = ABS( (sshn(ji,jj+1) + ht_0(ji,jj+1) - sshn(ji,jj) - ht_0(ji,jj)) & |
---|
| 454 | & / (sshn(ji,jj+1) - sshn(ji,jj )) ) |
---|
| 455 | zcpy(ji,jj) = max(min( zcpy(ji,jj) , 1.0_wp),0.0_wp) |
---|
| 456 | |
---|
| 457 | ELSE |
---|
| 458 | zcpy(ji,jj) = 0._wp |
---|
| 459 | END IF |
---|
| 460 | END DO |
---|
| 461 | END DO |
---|
| 462 | |
---|
| 463 | DO jj = 2, jpjm1 |
---|
| 464 | DO ji = 2, jpim1 |
---|
| 465 | zu_trd(ji,jj) = zu_trd(ji,jj) - grav * ( sshn(ji+1,jj ) - sshn(ji ,jj ) ) & |
---|
| 466 | & * r1_e1u(ji,jj) * zcpx(ji,jj) * wdrampu(ji,jj) !jth |
---|
| 467 | zv_trd(ji,jj) = zv_trd(ji,jj) - grav * ( sshn(ji ,jj+1) - sshn(ji ,jj ) ) & |
---|
| 468 | & * r1_e2v(ji,jj) * zcpy(ji,jj) * wdrampv(ji,jj) !jth |
---|
| 469 | |
---|
| 470 | END DO |
---|
| 471 | END DO |
---|
| 472 | |
---|
[6152] | 473 | ELSE |
---|
[9019] | 474 | ! |
---|
| 475 | DO jj = 2, jpjm1 |
---|
| 476 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 477 | zu_trd(ji,jj) = zu_trd(ji,jj) - grav * ( sshn(ji+1,jj ) - sshn(ji ,jj ) ) * r1_e1u(ji,jj) |
---|
| 478 | zv_trd(ji,jj) = zv_trd(ji,jj) - grav * ( sshn(ji ,jj+1) - sshn(ji ,jj ) ) * r1_e2v(ji,jj) |
---|
| 479 | END DO |
---|
| 480 | END DO |
---|
| 481 | ENDIF |
---|
| 482 | ! |
---|
[1502] | 483 | ENDIF |
---|
[9019] | 484 | ! |
---|
[4292] | 485 | DO jj = 2, jpjm1 ! Remove coriolis term (and possibly spg) from barotropic trend |
---|
[358] | 486 | DO ji = fs_2, fs_jpim1 |
---|
[6140] | 487 | zu_frc(ji,jj) = zu_frc(ji,jj) - zu_trd(ji,jj) * ssumask(ji,jj) |
---|
| 488 | zv_frc(ji,jj) = zv_frc(ji,jj) - zv_trd(ji,jj) * ssvmask(ji,jj) |
---|
[3294] | 489 | END DO |
---|
[4292] | 490 | END DO |
---|
| 491 | ! |
---|
[9023] | 492 | ! ! Add bottom stress contribution from baroclinic velocities: |
---|
| 493 | IF (ln_bt_fw) THEN |
---|
[4292] | 494 | DO jj = 2, jpjm1 |
---|
| 495 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 496 | ikbu = mbku(ji,jj) |
---|
| 497 | ikbv = mbkv(ji,jj) |
---|
| 498 | zwx(ji,jj) = un(ji,jj,ikbu) - un_b(ji,jj) ! NOW bottom baroclinic velocities |
---|
| 499 | zwy(ji,jj) = vn(ji,jj,ikbv) - vn_b(ji,jj) |
---|
| 500 | END DO |
---|
| 501 | END DO |
---|
[3294] | 502 | ELSE |
---|
[4292] | 503 | DO jj = 2, jpjm1 |
---|
| 504 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 505 | ikbu = mbku(ji,jj) |
---|
| 506 | ikbv = mbkv(ji,jj) |
---|
| 507 | zwx(ji,jj) = ub(ji,jj,ikbu) - ub_b(ji,jj) ! BEFORE bottom baroclinic velocities |
---|
| 508 | zwy(ji,jj) = vb(ji,jj,ikbv) - vb_b(ji,jj) |
---|
| 509 | END DO |
---|
| 510 | END DO |
---|
| 511 | ENDIF |
---|
[1502] | 512 | ! |
---|
[4292] | 513 | ! Note that the "unclipped" bottom friction parameter is used even with explicit drag |
---|
[9023] | 514 | IF( ln_wd_il ) THEN |
---|
[9075] | 515 | zztmp = -1._wp / rdtbt |
---|
[9045] | 516 | DO jj = 2, jpjm1 |
---|
| 517 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[9112] | 518 | zu_frc(ji,jj) = zu_frc(ji,jj) + & |
---|
| 519 | & MAX(r1_hu_n(ji,jj) * r1_2 * ( rCdU_bot(ji+1,jj)+rCdU_bot(ji,jj) ), zztmp ) * zwx(ji,jj) * wdrampu(ji,jj) |
---|
| 520 | zv_frc(ji,jj) = zv_frc(ji,jj) + & |
---|
| 521 | & MAX(r1_hv_n(ji,jj) * r1_2 * ( rCdU_bot(ji,jj+1)+rCdU_bot(ji,jj) ), zztmp ) * zwy(ji,jj) * wdrampv(ji,jj) |
---|
[9045] | 522 | END DO |
---|
| 523 | END DO |
---|
[9023] | 524 | ELSE |
---|
[9045] | 525 | DO jj = 2, jpjm1 |
---|
| 526 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[9112] | 527 | zu_frc(ji,jj) = zu_frc(ji,jj) + r1_hu_n(ji,jj) * r1_2 * ( rCdU_bot(ji+1,jj)+rCdU_bot(ji,jj) ) * zwx(ji,jj) |
---|
| 528 | zv_frc(ji,jj) = zv_frc(ji,jj) + r1_hv_n(ji,jj) * r1_2 * ( rCdU_bot(ji,jj+1)+rCdU_bot(ji,jj) ) * zwy(ji,jj) |
---|
[9045] | 529 | END DO |
---|
| 530 | END DO |
---|
[9023] | 531 | END IF |
---|
| 532 | ! |
---|
[9019] | 533 | IF( ln_isfcav ) THEN ! Add TOP stress contribution from baroclinic velocities: |
---|
| 534 | IF( ln_bt_fw ) THEN |
---|
| 535 | DO jj = 2, jpjm1 |
---|
| 536 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 537 | iktu = miku(ji,jj) |
---|
| 538 | iktv = mikv(ji,jj) |
---|
| 539 | zwx(ji,jj) = un(ji,jj,iktu) - un_b(ji,jj) ! NOW top baroclinic velocities |
---|
| 540 | zwy(ji,jj) = vn(ji,jj,iktv) - vn_b(ji,jj) |
---|
| 541 | END DO |
---|
| 542 | END DO |
---|
| 543 | ELSE |
---|
| 544 | DO jj = 2, jpjm1 |
---|
| 545 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 546 | iktu = miku(ji,jj) |
---|
| 547 | iktv = mikv(ji,jj) |
---|
| 548 | zwx(ji,jj) = ub(ji,jj,iktu) - ub_b(ji,jj) ! BEFORE top baroclinic velocities |
---|
| 549 | zwy(ji,jj) = vb(ji,jj,iktv) - vb_b(ji,jj) |
---|
| 550 | END DO |
---|
| 551 | END DO |
---|
| 552 | ENDIF |
---|
| 553 | ! |
---|
| 554 | ! Note that the "unclipped" top friction parameter is used even with explicit drag |
---|
| 555 | DO jj = 2, jpjm1 |
---|
| 556 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[9112] | 557 | zu_frc(ji,jj) = zu_frc(ji,jj) + r1_hu_n(ji,jj) * r1_2 * ( rCdU_top(ji+1,jj)+rCdU_top(ji,jj) ) * zwx(ji,jj) |
---|
| 558 | zv_frc(ji,jj) = zv_frc(ji,jj) + r1_hv_n(ji,jj) * r1_2 * ( rCdU_top(ji,jj+1)+rCdU_top(ji,jj) ) * zwy(ji,jj) |
---|
[9019] | 559 | END DO |
---|
| 560 | END DO |
---|
| 561 | ENDIF |
---|
[6140] | 562 | ! |
---|
[9019] | 563 | IF( ln_bt_fw ) THEN ! Add wind forcing |
---|
| 564 | DO jj = 2, jpjm1 |
---|
| 565 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 566 | zu_frc(ji,jj) = zu_frc(ji,jj) + r1_rau0 * utau(ji,jj) * r1_hu_n(ji,jj) |
---|
| 567 | zv_frc(ji,jj) = zv_frc(ji,jj) + r1_rau0 * vtau(ji,jj) * r1_hv_n(ji,jj) |
---|
| 568 | END DO |
---|
| 569 | END DO |
---|
[2724] | 570 | ELSE |
---|
[9043] | 571 | zztmp = r1_rau0 * r1_2 |
---|
[9019] | 572 | DO jj = 2, jpjm1 |
---|
| 573 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 574 | zu_frc(ji,jj) = zu_frc(ji,jj) + zztmp * ( utau_b(ji,jj) + utau(ji,jj) ) * r1_hu_n(ji,jj) |
---|
| 575 | zv_frc(ji,jj) = zv_frc(ji,jj) + zztmp * ( vtau_b(ji,jj) + vtau(ji,jj) ) * r1_hv_n(ji,jj) |
---|
| 576 | END DO |
---|
| 577 | END DO |
---|
[4292] | 578 | ENDIF |
---|
| 579 | ! |
---|
[9019] | 580 | IF( ln_apr_dyn ) THEN ! Add atm pressure forcing |
---|
| 581 | IF( ln_bt_fw ) THEN |
---|
[4292] | 582 | DO jj = 2, jpjm1 |
---|
| 583 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[5836] | 584 | zu_spg = grav * ( ssh_ib (ji+1,jj ) - ssh_ib (ji,jj) ) * r1_e1u(ji,jj) |
---|
| 585 | zv_spg = grav * ( ssh_ib (ji ,jj+1) - ssh_ib (ji,jj) ) * r1_e2v(ji,jj) |
---|
[4292] | 586 | zu_frc(ji,jj) = zu_frc(ji,jj) + zu_spg |
---|
| 587 | zv_frc(ji,jj) = zv_frc(ji,jj) + zv_spg |
---|
| 588 | END DO |
---|
| 589 | END DO |
---|
| 590 | ELSE |
---|
[9043] | 591 | zztmp = grav * r1_2 |
---|
[4292] | 592 | DO jj = 2, jpjm1 |
---|
| 593 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[9019] | 594 | zu_spg = zztmp * ( ssh_ib (ji+1,jj ) - ssh_ib (ji,jj) & |
---|
| 595 | & + ssh_ibb(ji+1,jj ) - ssh_ibb(ji,jj) ) * r1_e1u(ji,jj) |
---|
| 596 | zv_spg = zztmp * ( ssh_ib (ji ,jj+1) - ssh_ib (ji,jj) & |
---|
| 597 | & + ssh_ibb(ji ,jj+1) - ssh_ibb(ji,jj) ) * r1_e2v(ji,jj) |
---|
[4292] | 598 | zu_frc(ji,jj) = zu_frc(ji,jj) + zu_spg |
---|
| 599 | zv_frc(ji,jj) = zv_frc(ji,jj) + zv_spg |
---|
| 600 | END DO |
---|
| 601 | END DO |
---|
| 602 | ENDIF |
---|
[2724] | 603 | ENDIF |
---|
[4292] | 604 | ! !* Right-Hand-Side of the barotropic ssh equation |
---|
| 605 | ! ! ----------------------------------------------- |
---|
| 606 | ! ! Surface net water flux and rivers |
---|
| 607 | IF (ln_bt_fw) THEN |
---|
[9019] | 608 | zssh_frc(:,:) = r1_rau0 * ( emp(:,:) - rnf(:,:) + fwfisf(:,:) ) |
---|
[4292] | 609 | ELSE |
---|
[9043] | 610 | zztmp = r1_rau0 * r1_2 |
---|
[9019] | 611 | zssh_frc(:,:) = zztmp * ( emp(:,:) + emp_b(:,:) - rnf(:,:) - rnf_b(:,:) & |
---|
| 612 | & + fwfisf(:,:) + fwfisf_b(:,:) ) |
---|
[4292] | 613 | ENDIF |
---|
[7646] | 614 | ! |
---|
| 615 | IF( ln_sdw ) THEN ! Stokes drift divergence added if necessary |
---|
[7753] | 616 | zssh_frc(:,:) = zssh_frc(:,:) + div_sd(:,:) |
---|
[7646] | 617 | ENDIF |
---|
| 618 | ! |
---|
[4292] | 619 | #if defined key_asminc |
---|
| 620 | ! ! Include the IAU weighted SSH increment |
---|
| 621 | IF( lk_asminc .AND. ln_sshinc .AND. ln_asmiau ) THEN |
---|
[7753] | 622 | zssh_frc(:,:) = zssh_frc(:,:) - ssh_iau(:,:) |
---|
[4292] | 623 | ENDIF |
---|
| 624 | #endif |
---|
[5656] | 625 | ! !* Fill boundary data arrays for AGRIF |
---|
| 626 | ! ! ------------------------------------ |
---|
[4486] | 627 | #if defined key_agrif |
---|
| 628 | IF( .NOT.Agrif_Root() ) CALL agrif_dta_ts( kt ) |
---|
| 629 | #endif |
---|
[4292] | 630 | ! |
---|
[358] | 631 | ! ----------------------------------------------------------------------- |
---|
[4292] | 632 | ! Phase 2 : Integration of the barotropic equations |
---|
[358] | 633 | ! ----------------------------------------------------------------------- |
---|
[1502] | 634 | ! |
---|
| 635 | ! ! ==================== ! |
---|
| 636 | ! ! Initialisations ! |
---|
[4292] | 637 | ! ! ==================== ! |
---|
[4370] | 638 | ! Initialize barotropic variables: |
---|
[4770] | 639 | IF( ll_init )THEN |
---|
[7753] | 640 | sshbb_e(:,:) = 0._wp |
---|
| 641 | ubb_e (:,:) = 0._wp |
---|
| 642 | vbb_e (:,:) = 0._wp |
---|
| 643 | sshb_e (:,:) = 0._wp |
---|
| 644 | ub_e (:,:) = 0._wp |
---|
| 645 | vb_e (:,:) = 0._wp |
---|
[4700] | 646 | ENDIF |
---|
[6152] | 647 | |
---|
[4700] | 648 | ! |
---|
[4370] | 649 | IF (ln_bt_fw) THEN ! FORWARD integration: start from NOW fields |
---|
[7753] | 650 | sshn_e(:,:) = sshn(:,:) |
---|
| 651 | un_e (:,:) = un_b(:,:) |
---|
| 652 | vn_e (:,:) = vn_b(:,:) |
---|
| 653 | ! |
---|
| 654 | hu_e (:,:) = hu_n(:,:) |
---|
| 655 | hv_e (:,:) = hv_n(:,:) |
---|
| 656 | hur_e (:,:) = r1_hu_n(:,:) |
---|
| 657 | hvr_e (:,:) = r1_hv_n(:,:) |
---|
[4370] | 658 | ELSE ! CENTRED integration: start from BEFORE fields |
---|
[7753] | 659 | sshn_e(:,:) = sshb(:,:) |
---|
| 660 | un_e (:,:) = ub_b(:,:) |
---|
| 661 | vn_e (:,:) = vb_b(:,:) |
---|
| 662 | ! |
---|
| 663 | hu_e (:,:) = hu_b(:,:) |
---|
| 664 | hv_e (:,:) = hv_b(:,:) |
---|
| 665 | hur_e (:,:) = r1_hu_b(:,:) |
---|
| 666 | hvr_e (:,:) = r1_hv_b(:,:) |
---|
[4292] | 667 | ENDIF |
---|
| 668 | ! |
---|
| 669 | ! |
---|
[4370] | 670 | ! |
---|
[4292] | 671 | ! Initialize sums: |
---|
[7753] | 672 | ua_b (:,:) = 0._wp ! After barotropic velocities (or transport if flux form) |
---|
| 673 | va_b (:,:) = 0._wp |
---|
| 674 | ssha (:,:) = 0._wp ! Sum for after averaged sea level |
---|
| 675 | un_adv(:,:) = 0._wp ! Sum for now transport issued from ts loop |
---|
| 676 | vn_adv(:,:) = 0._wp |
---|
[1502] | 677 | ! ! ==================== ! |
---|
[9023] | 678 | |
---|
| 679 | IF (ln_wd_dl) THEN |
---|
| 680 | zuwdmask(:,:) = 0._wp ! set to zero for definiteness (not sure this is necessary) |
---|
| 681 | zvwdmask(:,:) = 0._wp ! |
---|
| 682 | zuwdav2(:,:) = 0._wp |
---|
| 683 | zvwdav2(:,:) = 0._wp |
---|
| 684 | END IF |
---|
| 685 | |
---|
| 686 | |
---|
[4292] | 687 | DO jn = 1, icycle ! sub-time-step loop ! |
---|
[1502] | 688 | ! ! ==================== ! |
---|
[3294] | 689 | ! !* Update the forcing (BDY and tides) |
---|
[1502] | 690 | ! ! ------------------ |
---|
[4292] | 691 | ! Update only tidal forcing at open boundaries |
---|
[7646] | 692 | IF( ln_bdy .AND. ln_tide ) CALL bdy_dta_tides( kt, kit=jn, time_offset= noffset+1 ) |
---|
| 693 | IF( ln_tide_pot .AND. ln_tide ) CALL upd_tide ( kt, kit=jn, time_offset= noffset ) |
---|
[4292] | 694 | ! |
---|
| 695 | ! Set extrapolation coefficients for predictor step: |
---|
| 696 | IF ((jn<3).AND.ll_init) THEN ! Forward |
---|
| 697 | za1 = 1._wp |
---|
| 698 | za2 = 0._wp |
---|
| 699 | za3 = 0._wp |
---|
| 700 | ELSE ! AB3-AM4 Coefficients: bet=0.281105 |
---|
| 701 | za1 = 1.781105_wp ! za1 = 3/2 + bet |
---|
| 702 | za2 = -1.06221_wp ! za2 = -(1/2 + 2*bet) |
---|
| 703 | za3 = 0.281105_wp ! za3 = bet |
---|
| 704 | ENDIF |
---|
[367] | 705 | |
---|
[4292] | 706 | ! Extrapolate barotropic velocities at step jit+0.5: |
---|
[7753] | 707 | ua_e(:,:) = za1 * un_e(:,:) + za2 * ub_e(:,:) + za3 * ubb_e(:,:) |
---|
| 708 | va_e(:,:) = za1 * vn_e(:,:) + za2 * vb_e(:,:) + za3 * vbb_e(:,:) |
---|
[4292] | 709 | |
---|
[6140] | 710 | IF( .NOT.ln_linssh ) THEN !* Update ocean depth (variable volume case only) |
---|
[4292] | 711 | ! ! ------------------ |
---|
| 712 | ! Extrapolate Sea Level at step jit+0.5: |
---|
[7753] | 713 | zsshp2_e(:,:) = za1 * sshn_e(:,:) + za2 * sshb_e(:,:) + za3 * sshbb_e(:,:) |
---|
[9023] | 714 | |
---|
| 715 | ! set wetting & drying mask at tracer points for this barotropic sub-step |
---|
| 716 | IF ( ln_wd_dl ) THEN |
---|
| 717 | |
---|
| 718 | IF ( ln_wd_dl_rmp ) THEN |
---|
| 719 | DO jj = 1, jpj |
---|
| 720 | DO ji = 1, jpi ! vector opt. |
---|
| 721 | IF ( zsshp2_e(ji,jj) + ht_0(ji,jj) > 2._wp * rn_wdmin1 ) THEN |
---|
| 722 | ! IF ( zsshp2_e(ji,jj) + ht_0(ji,jj) > rn_wdmin2 ) THEN |
---|
| 723 | ztwdmask(ji,jj) = 1._wp |
---|
| 724 | ELSE IF ( zsshp2_e(ji,jj) + ht_0(ji,jj) > rn_wdmin1 ) THEN |
---|
| 725 | ztwdmask(ji,jj) = (tanh(50._wp*( ( zsshp2_e(ji,jj) + ht_0(ji,jj) - rn_wdmin1 )*r_rn_wdmin1)) ) |
---|
| 726 | ELSE |
---|
| 727 | ztwdmask(ji,jj) = 0._wp |
---|
| 728 | END IF |
---|
| 729 | END DO |
---|
| 730 | END DO |
---|
| 731 | ELSE |
---|
| 732 | DO jj = 1, jpj |
---|
| 733 | DO ji = 1, jpi ! vector opt. |
---|
| 734 | IF ( zsshp2_e(ji,jj) + ht_0(ji,jj) > rn_wdmin1 ) THEN |
---|
| 735 | ztwdmask(ji,jj) = 1._wp |
---|
| 736 | ELSE |
---|
| 737 | ztwdmask(ji,jj) = 0._wp |
---|
| 738 | END IF |
---|
| 739 | END DO |
---|
| 740 | END DO |
---|
| 741 | END IF |
---|
| 742 | |
---|
| 743 | END IF |
---|
| 744 | |
---|
| 745 | |
---|
[4292] | 746 | DO jj = 2, jpjm1 ! Sea Surface Height at u- & v-points |
---|
| 747 | DO ji = 2, fs_jpim1 ! Vector opt. |
---|
[9043] | 748 | zwx(ji,jj) = r1_2 * ssumask(ji,jj) * r1_e1e2u(ji,jj) & |
---|
[5836] | 749 | & * ( e1e2t(ji ,jj) * zsshp2_e(ji ,jj) & |
---|
| 750 | & + e1e2t(ji+1,jj) * zsshp2_e(ji+1,jj) ) |
---|
[9043] | 751 | zwy(ji,jj) = r1_2 * ssvmask(ji,jj) * r1_e1e2v(ji,jj) & |
---|
[5836] | 752 | & * ( e1e2t(ji,jj ) * zsshp2_e(ji,jj ) & |
---|
| 753 | & + e1e2t(ji,jj+1) * zsshp2_e(ji,jj+1) ) |
---|
[4292] | 754 | END DO |
---|
| 755 | END DO |
---|
[5429] | 756 | CALL lbc_lnk_multi( zwx, 'U', 1._wp, zwy, 'V', 1._wp ) |
---|
[4292] | 757 | ! |
---|
[7753] | 758 | zhup2_e (:,:) = hu_0(:,:) + zwx(:,:) ! Ocean depth at U- and V-points |
---|
| 759 | zhvp2_e (:,:) = hv_0(:,:) + zwy(:,:) |
---|
[4370] | 760 | ELSE |
---|
[7753] | 761 | zhup2_e (:,:) = hu_n(:,:) |
---|
| 762 | zhvp2_e (:,:) = hv_n(:,:) |
---|
[4292] | 763 | ENDIF |
---|
| 764 | ! !* after ssh |
---|
[1502] | 765 | ! ! ----------- |
---|
[4292] | 766 | ! One should enforce volume conservation at open boundaries here |
---|
| 767 | ! considering fluxes below: |
---|
| 768 | ! |
---|
[7753] | 769 | zwx(:,:) = e2u(:,:) * ua_e(:,:) * zhup2_e(:,:) ! fluxes at jn+0.5 |
---|
| 770 | zwy(:,:) = e1v(:,:) * va_e(:,:) * zhvp2_e(:,:) |
---|
[4486] | 771 | ! |
---|
| 772 | #if defined key_agrif |
---|
[6140] | 773 | ! Set fluxes during predictor step to ensure volume conservation |
---|
| 774 | IF( .NOT.Agrif_Root() .AND. ln_bt_fw ) THEN |
---|
[4486] | 775 | IF((nbondi == -1).OR.(nbondi == 2)) THEN |
---|
[9019] | 776 | DO jj = 1, jpj |
---|
[9116] | 777 | zwx(2:nbghostcells+1,jj) = ubdy_w(1:nbghostcells,jj) * e2u(2:nbghostcells+1,jj) |
---|
[4486] | 778 | END DO |
---|
| 779 | ENDIF |
---|
| 780 | IF((nbondi == 1).OR.(nbondi == 2)) THEN |
---|
| 781 | DO jj=1,jpj |
---|
[9116] | 782 | zwx(nlci-nbghostcells-1:nlci-2,jj) = ubdy_e(1:nbghostcells,jj) * e2u(nlci-nbghostcells-1:nlci-2,jj) |
---|
[4486] | 783 | END DO |
---|
| 784 | ENDIF |
---|
| 785 | IF((nbondj == -1).OR.(nbondj == 2)) THEN |
---|
| 786 | DO ji=1,jpi |
---|
[9116] | 787 | zwy(ji,2:nbghostcells+1) = vbdy_s(ji,1:nbghostcells) * e1v(ji,2:nbghostcells+1) |
---|
[4486] | 788 | END DO |
---|
| 789 | ENDIF |
---|
| 790 | IF((nbondj == 1).OR.(nbondj == 2)) THEN |
---|
| 791 | DO ji=1,jpi |
---|
[9116] | 792 | zwy(ji,nlcj-nbghostcells-1:nlcj-2) = vbdy_n(ji,1:nbghostcells) * e1v(ji,nlcj-nbghostcells-1:nlcj-2) |
---|
[4486] | 793 | END DO |
---|
| 794 | ENDIF |
---|
| 795 | ENDIF |
---|
| 796 | #endif |
---|
[9023] | 797 | IF( ln_wd_il ) CALL wad_lmt_bt(zwx, zwy, sshn_e, zssh_frc, rdtbt) |
---|
| 798 | |
---|
| 799 | IF ( ln_wd_dl ) THEN |
---|
| 800 | |
---|
| 801 | |
---|
| 802 | ! un_e and vn_e are set to zero at faces where the direction of the flow is from dry cells |
---|
| 803 | |
---|
| 804 | DO jj = 1, jpjm1 |
---|
| 805 | DO ji = 1, jpim1 |
---|
| 806 | IF ( zwx(ji,jj) > 0.0 ) THEN |
---|
| 807 | zuwdmask(ji, jj) = ztwdmask(ji ,jj) |
---|
| 808 | ELSE |
---|
| 809 | zuwdmask(ji, jj) = ztwdmask(ji+1,jj) |
---|
| 810 | END IF |
---|
| 811 | zwx(ji, jj) = zuwdmask(ji,jj)*zwx(ji, jj) |
---|
| 812 | un_e(ji,jj) = zuwdmask(ji,jj)*un_e(ji,jj) |
---|
| 813 | |
---|
| 814 | IF ( zwy(ji,jj) > 0.0 ) THEN |
---|
| 815 | zvwdmask(ji, jj) = ztwdmask(ji, jj ) |
---|
| 816 | ELSE |
---|
| 817 | zvwdmask(ji, jj) = ztwdmask(ji, jj+1) |
---|
| 818 | END IF |
---|
| 819 | zwy(ji, jj) = zvwdmask(ji,jj)*zwy(ji,jj) |
---|
| 820 | vn_e(ji,jj) = zvwdmask(ji,jj)*vn_e(ji,jj) |
---|
| 821 | END DO |
---|
| 822 | END DO |
---|
| 823 | |
---|
| 824 | |
---|
| 825 | END IF |
---|
| 826 | |
---|
[4486] | 827 | ! Sum over sub-time-steps to compute advective velocities |
---|
| 828 | za2 = wgtbtp2(jn) |
---|
[7753] | 829 | un_adv(:,:) = un_adv(:,:) + za2 * zwx(:,:) * r1_e2u(:,:) |
---|
| 830 | vn_adv(:,:) = vn_adv(:,:) + za2 * zwy(:,:) * r1_e1v(:,:) |
---|
[9023] | 831 | |
---|
| 832 | ! sum over sub-time-steps to decide which baroclinic velocities to set to zero (zuwdav2 is only used when ln_wd_dl_bc = True) |
---|
| 833 | IF ( ln_wd_dl_bc ) THEN |
---|
| 834 | zuwdav2(:,:) = zuwdav2(:,:) + za2 * zuwdmask(:,:) |
---|
| 835 | zvwdav2(:,:) = zvwdav2(:,:) + za2 * zvwdmask(:,:) |
---|
| 836 | END IF |
---|
| 837 | |
---|
[4486] | 838 | ! Set next sea level: |
---|
[4292] | 839 | DO jj = 2, jpjm1 |
---|
[358] | 840 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[4292] | 841 | zhdiv(ji,jj) = ( zwx(ji,jj) - zwx(ji-1,jj) & |
---|
[5836] | 842 | & + zwy(ji,jj) - zwy(ji,jj-1) ) * r1_e1e2t(ji,jj) |
---|
[358] | 843 | END DO |
---|
| 844 | END DO |
---|
[7753] | 845 | ssha_e(:,:) = ( sshn_e(:,:) - rdtbt * ( zssh_frc(:,:) + zhdiv(:,:) ) ) * ssmask(:,:) |
---|
| 846 | |
---|
[4292] | 847 | CALL lbc_lnk( ssha_e, 'T', 1._wp ) |
---|
| 848 | |
---|
[6140] | 849 | ! Duplicate sea level across open boundaries (this is only cosmetic if linssh=T) |
---|
[7646] | 850 | IF( ln_bdy ) CALL bdy_ssh( ssha_e ) |
---|
[4292] | 851 | #if defined key_agrif |
---|
[6140] | 852 | IF( .NOT.Agrif_Root() ) CALL agrif_ssh_ts( jn ) |
---|
[4292] | 853 | #endif |
---|
| 854 | ! |
---|
| 855 | ! Sea Surface Height at u-,v-points (vvl case only) |
---|
[6140] | 856 | IF( .NOT.ln_linssh ) THEN |
---|
[4292] | 857 | DO jj = 2, jpjm1 |
---|
| 858 | DO ji = 2, jpim1 ! NO Vector Opt. |
---|
[9043] | 859 | zsshu_a(ji,jj) = r1_2 * ssumask(ji,jj) * r1_e1e2u(ji,jj) & |
---|
[6140] | 860 | & * ( e1e2t(ji ,jj ) * ssha_e(ji ,jj ) & |
---|
| 861 | & + e1e2t(ji+1,jj ) * ssha_e(ji+1,jj ) ) |
---|
[9043] | 862 | zsshv_a(ji,jj) = r1_2 * ssvmask(ji,jj) * r1_e1e2v(ji,jj) & |
---|
[6140] | 863 | & * ( e1e2t(ji ,jj ) * ssha_e(ji ,jj ) & |
---|
| 864 | & + e1e2t(ji ,jj+1) * ssha_e(ji ,jj+1) ) |
---|
[4292] | 865 | END DO |
---|
[358] | 866 | END DO |
---|
[5429] | 867 | CALL lbc_lnk_multi( zsshu_a, 'U', 1._wp, zsshv_a, 'V', 1._wp ) |
---|
[4292] | 868 | ENDIF |
---|
| 869 | ! |
---|
| 870 | ! Half-step back interpolation of SSH for surface pressure computation: |
---|
| 871 | !---------------------------------------------------------------------- |
---|
| 872 | IF ((jn==1).AND.ll_init) THEN |
---|
| 873 | za0=1._wp ! Forward-backward |
---|
| 874 | za1=0._wp |
---|
| 875 | za2=0._wp |
---|
| 876 | za3=0._wp |
---|
| 877 | ELSEIF ((jn==2).AND.ll_init) THEN ! AB2-AM3 Coefficients; bet=0 ; gam=-1/6 ; eps=1/12 |
---|
| 878 | za0= 1.0833333333333_wp ! za0 = 1-gam-eps |
---|
| 879 | za1=-0.1666666666666_wp ! za1 = gam |
---|
| 880 | za2= 0.0833333333333_wp ! za2 = eps |
---|
| 881 | za3= 0._wp |
---|
| 882 | ELSE ! AB3-AM4 Coefficients; bet=0.281105 ; eps=0.013 ; gam=0.0880 |
---|
[9023] | 883 | IF (rn_bt_alpha==0._wp) THEN |
---|
| 884 | za0=0.614_wp ! za0 = 1/2 + gam + 2*eps |
---|
| 885 | za1=0.285_wp ! za1 = 1/2 - 2*gam - 3*eps |
---|
| 886 | za2=0.088_wp ! za2 = gam |
---|
| 887 | za3=0.013_wp ! za3 = eps |
---|
| 888 | ELSE |
---|
| 889 | zepsilon = 0.00976186_wp - 0.13451357_wp * rn_bt_alpha |
---|
| 890 | zgamma = 0.08344500_wp - 0.51358400_wp * rn_bt_alpha |
---|
| 891 | za0 = 0.5_wp + zgamma + 2._wp * rn_bt_alpha + 2._wp * zepsilon |
---|
| 892 | za1 = 1._wp - za0 - zgamma - zepsilon |
---|
| 893 | za2 = zgamma |
---|
| 894 | za3 = zepsilon |
---|
| 895 | ENDIF |
---|
[4292] | 896 | ENDIF |
---|
[6140] | 897 | ! |
---|
[7753] | 898 | zsshp2_e(:,:) = za0 * ssha_e(:,:) + za1 * sshn_e (:,:) & |
---|
| 899 | & + za2 * sshb_e(:,:) + za3 * sshbb_e(:,:) |
---|
[9023] | 900 | IF( ln_wd_il ) THEN ! Calculating and applying W/D gravity filters |
---|
[6152] | 901 | DO jj = 2, jpjm1 |
---|
[7646] | 902 | DO ji = 2, jpim1 |
---|
| 903 | ll_tmp1 = MIN( zsshp2_e(ji,jj) , zsshp2_e(ji+1,jj) ) > & |
---|
[9023] | 904 | & MAX( -ht_0(ji,jj) , -ht_0(ji+1,jj) ) .AND. & |
---|
| 905 | & MAX( zsshp2_e(ji,jj) + ht_0(ji,jj) , zsshp2_e(ji+1,jj) + ht_0(ji+1,jj) ) & |
---|
[7646] | 906 | & > rn_wdmin1 + rn_wdmin2 |
---|
| 907 | ll_tmp2 = (ABS(zsshp2_e(ji,jj) - zsshp2_e(ji+1,jj)) > 1.E-12 ).AND.( & |
---|
| 908 | & MAX( zsshp2_e(ji,jj) , zsshp2_e(ji+1,jj) ) > & |
---|
[9023] | 909 | & MAX( -ht_0(ji,jj) , -ht_0(ji+1,jj) ) + rn_wdmin1 + rn_wdmin2 ) |
---|
[7646] | 910 | |
---|
| 911 | IF(ll_tmp1) THEN |
---|
| 912 | zcpx(ji,jj) = 1.0_wp |
---|
| 913 | ELSE IF(ll_tmp2) THEN |
---|
| 914 | ! no worries about zsshp2_e(ji+1,jj) - zsshp2_e(ji ,jj) = 0, it won't happen ! here |
---|
[9023] | 915 | zcpx(ji,jj) = ABS( (zsshp2_e(ji+1,jj) + ht_0(ji+1,jj) - zsshp2_e(ji,jj) - ht_0(ji,jj)) & |
---|
[7646] | 916 | & / (zsshp2_e(ji+1,jj) - zsshp2_e(ji ,jj)) ) |
---|
| 917 | ELSE |
---|
| 918 | zcpx(ji,jj) = 0._wp |
---|
| 919 | END IF |
---|
| 920 | |
---|
| 921 | ll_tmp1 = MIN( zsshp2_e(ji,jj) , zsshp2_e(ji,jj+1) ) > & |
---|
[9023] | 922 | & MAX( -ht_0(ji,jj) , -ht_0(ji,jj+1) ) .AND. & |
---|
| 923 | & MAX( zsshp2_e(ji,jj) + ht_0(ji,jj) , zsshp2_e(ji,jj+1) + ht_0(ji,jj+1) ) & |
---|
[7646] | 924 | & > rn_wdmin1 + rn_wdmin2 |
---|
| 925 | ll_tmp2 = (ABS(zsshp2_e(ji,jj) - zsshp2_e(ji,jj+1)) > 1.E-12 ).AND.( & |
---|
| 926 | & MAX( zsshp2_e(ji,jj) , zsshp2_e(ji,jj+1) ) > & |
---|
[9023] | 927 | & MAX( -ht_0(ji,jj) , -ht_0(ji,jj+1) ) + rn_wdmin1 + rn_wdmin2 ) |
---|
[7646] | 928 | |
---|
| 929 | IF(ll_tmp1) THEN |
---|
| 930 | zcpy(ji,jj) = 1.0_wp |
---|
| 931 | ELSE IF(ll_tmp2) THEN |
---|
| 932 | ! no worries about zsshp2_e(ji,jj+1) - zsshp2_e(ji,jj ) = 0, it won't happen ! here |
---|
[9023] | 933 | zcpy(ji,jj) = ABS( (zsshp2_e(ji,jj+1) + ht_0(ji,jj+1) - zsshp2_e(ji,jj) - ht_0(ji,jj)) & |
---|
[7646] | 934 | & / (zsshp2_e(ji,jj+1) - zsshp2_e(ji,jj )) ) |
---|
| 935 | ELSE |
---|
| 936 | zcpy(ji,jj) = 0._wp |
---|
| 937 | END IF |
---|
[6152] | 938 | END DO |
---|
[7646] | 939 | END DO |
---|
| 940 | END IF |
---|
[1502] | 941 | ! |
---|
[4292] | 942 | ! Compute associated depths at U and V points: |
---|
[9023] | 943 | IF( .NOT.ln_linssh .AND. .NOT.ln_dynadv_vec ) THEN !* Vector form |
---|
[4292] | 944 | ! |
---|
| 945 | DO jj = 2, jpjm1 |
---|
| 946 | DO ji = 2, jpim1 |
---|
[9043] | 947 | zx1 = r1_2 * ssumask(ji ,jj) * r1_e1e2u(ji ,jj) & |
---|
[5836] | 948 | & * ( e1e2t(ji ,jj ) * zsshp2_e(ji ,jj) & |
---|
| 949 | & + e1e2t(ji+1,jj ) * zsshp2_e(ji+1,jj ) ) |
---|
[9043] | 950 | zy1 = r1_2 * ssvmask(ji ,jj) * r1_e1e2v(ji ,jj ) & |
---|
[5836] | 951 | & * ( e1e2t(ji ,jj ) * zsshp2_e(ji ,jj ) & |
---|
| 952 | & + e1e2t(ji ,jj+1) * zsshp2_e(ji ,jj+1) ) |
---|
[4292] | 953 | zhust_e(ji,jj) = hu_0(ji,jj) + zx1 |
---|
| 954 | zhvst_e(ji,jj) = hv_0(ji,jj) + zy1 |
---|
| 955 | END DO |
---|
| 956 | END DO |
---|
[6152] | 957 | |
---|
[4292] | 958 | ENDIF |
---|
| 959 | ! |
---|
| 960 | ! Add Coriolis trend: |
---|
[6140] | 961 | ! zwz array below or triads normally depend on sea level with ln_linssh=F and should be updated |
---|
[4292] | 962 | ! at each time step. We however keep them constant here for optimization. |
---|
| 963 | ! Recall that zwx and zwy arrays hold fluxes at this stage: |
---|
| 964 | ! zwx(:,:) = e2u(:,:) * ua_e(:,:) * zhup2_e(:,:) ! fluxes at jn+0.5 |
---|
| 965 | ! zwy(:,:) = e1v(:,:) * va_e(:,:) * zhvp2_e(:,:) |
---|
| 966 | ! |
---|
[6140] | 967 | IF( ln_dynvor_ene .OR. ln_dynvor_mix ) THEN !== energy conserving or mixed scheme ==! |
---|
[358] | 968 | DO jj = 2, jpjm1 |
---|
| 969 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[5836] | 970 | zy1 = ( zwy(ji ,jj-1) + zwy(ji+1,jj-1) ) * r1_e1u(ji,jj) |
---|
| 971 | zy2 = ( zwy(ji ,jj ) + zwy(ji+1,jj ) ) * r1_e1u(ji,jj) |
---|
| 972 | zx1 = ( zwx(ji-1,jj ) + zwx(ji-1,jj+1) ) * r1_e2v(ji,jj) |
---|
| 973 | zx2 = ( zwx(ji ,jj ) + zwx(ji ,jj+1) ) * r1_e2v(ji,jj) |
---|
[9043] | 974 | zu_trd(ji,jj) = r1_4 * ( zwz(ji ,jj-1) * zy1 + zwz(ji,jj) * zy2 ) |
---|
| 975 | zv_trd(ji,jj) =-r1_4 * ( zwz(ji-1,jj ) * zx1 + zwz(ji,jj) * zx2 ) |
---|
[358] | 976 | END DO |
---|
| 977 | END DO |
---|
[508] | 978 | ! |
---|
[6140] | 979 | ELSEIF ( ln_dynvor_ens ) THEN !== enstrophy conserving scheme ==! |
---|
[358] | 980 | DO jj = 2, jpjm1 |
---|
| 981 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[9043] | 982 | zy1 = r1_8 * ( zwy(ji ,jj-1) + zwy(ji+1,jj-1) & |
---|
[5836] | 983 | & + zwy(ji ,jj ) + zwy(ji+1,jj ) ) * r1_e1u(ji,jj) |
---|
[9043] | 984 | zx1 = - r1_8 * ( zwx(ji-1,jj ) + zwx(ji-1,jj+1) & |
---|
[5836] | 985 | & + zwx(ji ,jj ) + zwx(ji ,jj+1) ) * r1_e2v(ji,jj) |
---|
[4292] | 986 | zu_trd(ji,jj) = zy1 * ( zwz(ji ,jj-1) + zwz(ji,jj) ) |
---|
| 987 | zv_trd(ji,jj) = zx1 * ( zwz(ji-1,jj ) + zwz(ji,jj) ) |
---|
[358] | 988 | END DO |
---|
| 989 | END DO |
---|
[508] | 990 | ! |
---|
[6140] | 991 | ELSEIF ( ln_dynvor_een ) THEN !== energy and enstrophy conserving scheme ==! |
---|
[358] | 992 | DO jj = 2, jpjm1 |
---|
| 993 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[9043] | 994 | zu_trd(ji,jj) = + r1_12 * r1_e1u(ji,jj) * ( ftne(ji,jj ) * zwy(ji ,jj ) & |
---|
[5836] | 995 | & + ftnw(ji+1,jj) * zwy(ji+1,jj ) & |
---|
| 996 | & + ftse(ji,jj ) * zwy(ji ,jj-1) & |
---|
| 997 | & + ftsw(ji+1,jj) * zwy(ji+1,jj-1) ) |
---|
[9043] | 998 | zv_trd(ji,jj) = - r1_12 * r1_e2v(ji,jj) * ( ftsw(ji,jj+1) * zwx(ji-1,jj+1) & |
---|
[5836] | 999 | & + ftse(ji,jj+1) * zwx(ji ,jj+1) & |
---|
| 1000 | & + ftnw(ji,jj ) * zwx(ji-1,jj ) & |
---|
| 1001 | & + ftne(ji,jj ) * zwx(ji ,jj ) ) |
---|
[358] | 1002 | END DO |
---|
| 1003 | END DO |
---|
[508] | 1004 | ! |
---|
[358] | 1005 | ENDIF |
---|
[4292] | 1006 | ! |
---|
| 1007 | ! Add tidal astronomical forcing if defined |
---|
[7646] | 1008 | IF ( ln_tide .AND. ln_tide_pot ) THEN |
---|
[4292] | 1009 | DO jj = 2, jpjm1 |
---|
| 1010 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[5836] | 1011 | zu_spg = grav * ( pot_astro(ji+1,jj) - pot_astro(ji,jj) ) * r1_e1u(ji,jj) |
---|
| 1012 | zv_spg = grav * ( pot_astro(ji,jj+1) - pot_astro(ji,jj) ) * r1_e2v(ji,jj) |
---|
[4292] | 1013 | zu_trd(ji,jj) = zu_trd(ji,jj) + zu_spg |
---|
| 1014 | zv_trd(ji,jj) = zv_trd(ji,jj) + zv_spg |
---|
| 1015 | END DO |
---|
| 1016 | END DO |
---|
| 1017 | ENDIF |
---|
| 1018 | ! |
---|
[9023] | 1019 | ! Add bottom stresses: |
---|
| 1020 | !jth do implicitly instead |
---|
| 1021 | IF ( .NOT. ll_wd ) THEN ! Revert to explicit for bit comparison tests in non wad runs |
---|
[9045] | 1022 | DO jj = 2, jpjm1 |
---|
| 1023 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 1024 | zu_trd(ji,jj) = zu_trd(ji,jj) + zCdU_u(ji,jj) * un_e(ji,jj) * hur_e(ji,jj) |
---|
| 1025 | zv_trd(ji,jj) = zv_trd(ji,jj) + zCdU_v(ji,jj) * vn_e(ji,jj) * hvr_e(ji,jj) |
---|
| 1026 | END DO |
---|
| 1027 | END DO |
---|
[9023] | 1028 | ENDIF |
---|
[4292] | 1029 | ! |
---|
| 1030 | ! Surface pressure trend: |
---|
[9023] | 1031 | IF( ln_wd_il ) THEN |
---|
[6152] | 1032 | DO jj = 2, jpjm1 |
---|
| 1033 | DO ji = 2, jpim1 |
---|
| 1034 | ! Add surface pressure gradient |
---|
| 1035 | zu_spg = - grav * ( zsshp2_e(ji+1,jj) - zsshp2_e(ji,jj) ) * r1_e1u(ji,jj) |
---|
| 1036 | zv_spg = - grav * ( zsshp2_e(ji,jj+1) - zsshp2_e(ji,jj) ) * r1_e2v(ji,jj) |
---|
[9023] | 1037 | zwx(ji,jj) = (1._wp - rn_scal_load) * zu_spg * zcpx(ji,jj) |
---|
| 1038 | zwy(ji,jj) = (1._wp - rn_scal_load) * zv_spg * zcpy(ji,jj) |
---|
[6152] | 1039 | END DO |
---|
| 1040 | END DO |
---|
| 1041 | ELSE |
---|
| 1042 | DO jj = 2, jpjm1 |
---|
| 1043 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 1044 | ! Add surface pressure gradient |
---|
| 1045 | zu_spg = - grav * ( zsshp2_e(ji+1,jj) - zsshp2_e(ji,jj) ) * r1_e1u(ji,jj) |
---|
| 1046 | zv_spg = - grav * ( zsshp2_e(ji,jj+1) - zsshp2_e(ji,jj) ) * r1_e2v(ji,jj) |
---|
[9023] | 1047 | zwx(ji,jj) = (1._wp - rn_scal_load) * zu_spg |
---|
| 1048 | zwy(ji,jj) = (1._wp - rn_scal_load) * zv_spg |
---|
[6152] | 1049 | END DO |
---|
| 1050 | END DO |
---|
| 1051 | END IF |
---|
| 1052 | |
---|
[4292] | 1053 | ! |
---|
| 1054 | ! Set next velocities: |
---|
[9023] | 1055 | IF( ln_dynadv_vec .OR. ln_linssh ) THEN !* Vector form |
---|
[4292] | 1056 | DO jj = 2, jpjm1 |
---|
| 1057 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[5930] | 1058 | ua_e(ji,jj) = ( un_e(ji,jj) & |
---|
[4292] | 1059 | & + rdtbt * ( zwx(ji,jj) & |
---|
| 1060 | & + zu_trd(ji,jj) & |
---|
| 1061 | & + zu_frc(ji,jj) ) & |
---|
[6140] | 1062 | & ) * ssumask(ji,jj) |
---|
[358] | 1063 | |
---|
[5930] | 1064 | va_e(ji,jj) = ( vn_e(ji,jj) & |
---|
[4292] | 1065 | & + rdtbt * ( zwy(ji,jj) & |
---|
| 1066 | & + zv_trd(ji,jj) & |
---|
| 1067 | & + zv_frc(ji,jj) ) & |
---|
[6140] | 1068 | & ) * ssvmask(ji,jj) |
---|
[9023] | 1069 | |
---|
| 1070 | !jth implicit bottom friction: |
---|
| 1071 | IF ( ll_wd ) THEN ! revert to explicit for bit comparison tests in non wad runs |
---|
[9036] | 1072 | ua_e(ji,jj) = ua_e(ji,jj) /(1.0 - rdtbt * zCdU_u(ji,jj) * hur_e(ji,jj)) |
---|
| 1073 | va_e(ji,jj) = va_e(ji,jj) /(1.0 - rdtbt * zCdU_v(ji,jj) * hvr_e(ji,jj)) |
---|
[9023] | 1074 | ENDIF |
---|
| 1075 | |
---|
[4292] | 1076 | END DO |
---|
| 1077 | END DO |
---|
[6140] | 1078 | ! |
---|
[9023] | 1079 | ELSE !* Flux form |
---|
[4292] | 1080 | DO jj = 2, jpjm1 |
---|
| 1081 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[3294] | 1082 | |
---|
[9023] | 1083 | zhura = hu_0(ji,jj) + zsshu_a(ji,jj) |
---|
| 1084 | zhvra = hv_0(ji,jj) + zsshv_a(ji,jj) |
---|
| 1085 | |
---|
[6152] | 1086 | zhura = ssumask(ji,jj)/(zhura + 1._wp - ssumask(ji,jj)) |
---|
| 1087 | zhvra = ssvmask(ji,jj)/(zhvra + 1._wp - ssvmask(ji,jj)) |
---|
| 1088 | |
---|
[5930] | 1089 | ua_e(ji,jj) = ( hu_e(ji,jj) * un_e(ji,jj) & |
---|
[4292] | 1090 | & + rdtbt * ( zhust_e(ji,jj) * zwx(ji,jj) & |
---|
| 1091 | & + zhup2_e(ji,jj) * zu_trd(ji,jj) & |
---|
[6140] | 1092 | & + hu_n(ji,jj) * zu_frc(ji,jj) ) & |
---|
[4292] | 1093 | & ) * zhura |
---|
[358] | 1094 | |
---|
[5930] | 1095 | va_e(ji,jj) = ( hv_e(ji,jj) * vn_e(ji,jj) & |
---|
[4292] | 1096 | & + rdtbt * ( zhvst_e(ji,jj) * zwy(ji,jj) & |
---|
| 1097 | & + zhvp2_e(ji,jj) * zv_trd(ji,jj) & |
---|
[6140] | 1098 | & + hv_n(ji,jj) * zv_frc(ji,jj) ) & |
---|
[4292] | 1099 | & ) * zhvra |
---|
[592] | 1100 | END DO |
---|
| 1101 | END DO |
---|
[4292] | 1102 | ENDIF |
---|
[9023] | 1103 | |
---|
| 1104 | |
---|
[6140] | 1105 | IF( .NOT.ln_linssh ) THEN !* Update ocean depth (variable volume case only) |
---|
[9023] | 1106 | hu_e (:,:) = hu_0(:,:) + zsshu_a(:,:) |
---|
| 1107 | hv_e (:,:) = hv_0(:,:) + zsshv_a(:,:) |
---|
[7753] | 1108 | hur_e(:,:) = ssumask(:,:) / ( hu_e(:,:) + 1._wp - ssumask(:,:) ) |
---|
| 1109 | hvr_e(:,:) = ssvmask(:,:) / ( hv_e(:,:) + 1._wp - ssvmask(:,:) ) |
---|
[1502] | 1110 | ! |
---|
[1438] | 1111 | ENDIF |
---|
[6140] | 1112 | ! !* domain lateral boundary |
---|
| 1113 | CALL lbc_lnk_multi( ua_e, 'U', -1._wp, va_e , 'V', -1._wp ) |
---|
[4292] | 1114 | ! |
---|
[6140] | 1115 | ! ! open boundaries |
---|
[7646] | 1116 | IF( ln_bdy ) CALL bdy_dyn2d( jn, ua_e, va_e, un_e, vn_e, hur_e, hvr_e, ssha_e ) |
---|
[4486] | 1117 | #if defined key_agrif |
---|
| 1118 | IF( .NOT.Agrif_Root() ) CALL agrif_dyn_ts( jn ) ! Agrif |
---|
[4292] | 1119 | #endif |
---|
| 1120 | ! !* Swap |
---|
| 1121 | ! ! ---- |
---|
[7753] | 1122 | ubb_e (:,:) = ub_e (:,:) |
---|
| 1123 | ub_e (:,:) = un_e (:,:) |
---|
| 1124 | un_e (:,:) = ua_e (:,:) |
---|
| 1125 | ! |
---|
| 1126 | vbb_e (:,:) = vb_e (:,:) |
---|
| 1127 | vb_e (:,:) = vn_e (:,:) |
---|
| 1128 | vn_e (:,:) = va_e (:,:) |
---|
| 1129 | ! |
---|
| 1130 | sshbb_e(:,:) = sshb_e(:,:) |
---|
| 1131 | sshb_e (:,:) = sshn_e(:,:) |
---|
| 1132 | sshn_e (:,:) = ssha_e(:,:) |
---|
[4292] | 1133 | |
---|
| 1134 | ! !* Sum over whole bt loop |
---|
| 1135 | ! ! ---------------------- |
---|
| 1136 | za1 = wgtbtp1(jn) |
---|
[6140] | 1137 | IF( ln_dynadv_vec .OR. ln_linssh ) THEN ! Sum velocities |
---|
[7753] | 1138 | ua_b (:,:) = ua_b (:,:) + za1 * ua_e (:,:) |
---|
| 1139 | va_b (:,:) = va_b (:,:) + za1 * va_e (:,:) |
---|
[9023] | 1140 | ELSE ! Sum transports |
---|
| 1141 | IF ( .NOT.ln_wd_dl ) THEN |
---|
| 1142 | ua_b (:,:) = ua_b (:,:) + za1 * ua_e (:,:) * hu_e (:,:) |
---|
| 1143 | va_b (:,:) = va_b (:,:) + za1 * va_e (:,:) * hv_e (:,:) |
---|
| 1144 | ELSE |
---|
| 1145 | ua_b (:,:) = ua_b (:,:) + za1 * ua_e (:,:) * hu_e (:,:) * zuwdmask(:,:) |
---|
| 1146 | va_b (:,:) = va_b (:,:) + za1 * va_e (:,:) * hv_e (:,:) * zvwdmask(:,:) |
---|
| 1147 | END IF |
---|
[4292] | 1148 | ENDIF |
---|
[9023] | 1149 | ! ! Sum sea level |
---|
[7753] | 1150 | ssha(:,:) = ssha(:,:) + za1 * ssha_e(:,:) |
---|
[9023] | 1151 | |
---|
[358] | 1152 | ! ! ==================== ! |
---|
| 1153 | END DO ! end loop ! |
---|
| 1154 | ! ! ==================== ! |
---|
[1438] | 1155 | ! ----------------------------------------------------------------------------- |
---|
[1502] | 1156 | ! Phase 3. update the general trend with the barotropic trend |
---|
[1438] | 1157 | ! ----------------------------------------------------------------------------- |
---|
[1502] | 1158 | ! |
---|
[4292] | 1159 | ! Set advection velocity correction: |
---|
[9023] | 1160 | IF (ln_bt_fw) THEN |
---|
| 1161 | zwx(:,:) = un_adv(:,:) |
---|
| 1162 | zwy(:,:) = vn_adv(:,:) |
---|
| 1163 | IF( .NOT.( kt == nit000 .AND. neuler==0 ) ) THEN |
---|
[9043] | 1164 | un_adv(:,:) = r1_2 * ( ub2_b(:,:) + zwx(:,:) - atfp * un_bf(:,:) ) |
---|
| 1165 | vn_adv(:,:) = r1_2 * ( vb2_b(:,:) + zwy(:,:) - atfp * vn_bf(:,:) ) |
---|
[9023] | 1166 | ! |
---|
| 1167 | ! Update corrective fluxes for next time step: |
---|
| 1168 | un_bf(:,:) = atfp * un_bf(:,:) + (zwx(:,:) - ub2_b(:,:)) |
---|
| 1169 | vn_bf(:,:) = atfp * vn_bf(:,:) + (zwy(:,:) - vb2_b(:,:)) |
---|
| 1170 | ELSE |
---|
| 1171 | un_bf(:,:) = 0._wp |
---|
| 1172 | vn_bf(:,:) = 0._wp |
---|
| 1173 | END IF |
---|
| 1174 | ! Save integrated transport for next computation |
---|
[7753] | 1175 | ub2_b(:,:) = zwx(:,:) |
---|
| 1176 | vb2_b(:,:) = zwy(:,:) |
---|
[4292] | 1177 | ENDIF |
---|
[9023] | 1178 | |
---|
| 1179 | |
---|
[4292] | 1180 | ! |
---|
| 1181 | ! Update barotropic trend: |
---|
[6140] | 1182 | IF( ln_dynadv_vec .OR. ln_linssh ) THEN |
---|
[4292] | 1183 | DO jk=1,jpkm1 |
---|
[9043] | 1184 | ua(:,:,jk) = ua(:,:,jk) + ( ua_b(:,:) - ub_b(:,:) ) * r1_2dt_b |
---|
| 1185 | va(:,:,jk) = va(:,:,jk) + ( va_b(:,:) - vb_b(:,:) ) * r1_2dt_b |
---|
[4292] | 1186 | END DO |
---|
| 1187 | ELSE |
---|
[5930] | 1188 | ! At this stage, ssha has been corrected: compute new depths at velocity points |
---|
| 1189 | DO jj = 1, jpjm1 |
---|
| 1190 | DO ji = 1, jpim1 ! NO Vector Opt. |
---|
[9043] | 1191 | zsshu_a(ji,jj) = r1_2 * umask(ji,jj,1) * r1_e1e2u(ji,jj) & |
---|
[5930] | 1192 | & * ( e1e2t(ji ,jj) * ssha(ji ,jj) & |
---|
| 1193 | & + e1e2t(ji+1,jj) * ssha(ji+1,jj) ) |
---|
[9043] | 1194 | zsshv_a(ji,jj) = r1_2 * vmask(ji,jj,1) * r1_e1e2v(ji,jj) & |
---|
[5930] | 1195 | & * ( e1e2t(ji,jj ) * ssha(ji,jj ) & |
---|
| 1196 | & + e1e2t(ji,jj+1) * ssha(ji,jj+1) ) |
---|
| 1197 | END DO |
---|
| 1198 | END DO |
---|
| 1199 | CALL lbc_lnk_multi( zsshu_a, 'U', 1._wp, zsshv_a, 'V', 1._wp ) ! Boundary conditions |
---|
| 1200 | ! |
---|
[4292] | 1201 | DO jk=1,jpkm1 |
---|
[9043] | 1202 | ua(:,:,jk) = ua(:,:,jk) + r1_hu_n(:,:) * ( ua_b(:,:) - ub_b(:,:) * hu_b(:,:) ) * r1_2dt_b |
---|
| 1203 | va(:,:,jk) = va(:,:,jk) + r1_hv_n(:,:) * ( va_b(:,:) - vb_b(:,:) * hv_b(:,:) ) * r1_2dt_b |
---|
[4292] | 1204 | END DO |
---|
| 1205 | ! Save barotropic velocities not transport: |
---|
[7753] | 1206 | ua_b(:,:) = ua_b(:,:) / ( hu_0(:,:) + zsshu_a(:,:) + 1._wp - ssumask(:,:) ) |
---|
| 1207 | va_b(:,:) = va_b(:,:) / ( hv_0(:,:) + zsshv_a(:,:) + 1._wp - ssvmask(:,:) ) |
---|
[4292] | 1208 | ENDIF |
---|
[9023] | 1209 | |
---|
| 1210 | |
---|
| 1211 | ! Correct velocities so that the barotropic velocity equals (un_adv, vn_adv) (in all cases) |
---|
[4292] | 1212 | DO jk = 1, jpkm1 |
---|
[9023] | 1213 | un(:,:,jk) = ( un(:,:,jk) + un_adv(:,:)*r1_hu_n(:,:) - un_b(:,:) ) * umask(:,:,jk) |
---|
| 1214 | vn(:,:,jk) = ( vn(:,:,jk) + vn_adv(:,:)*r1_hv_n(:,:) - vn_b(:,:) ) * vmask(:,:,jk) |
---|
[358] | 1215 | END DO |
---|
[9023] | 1216 | |
---|
| 1217 | IF ( ln_wd_dl .and. ln_wd_dl_bc) THEN |
---|
| 1218 | DO jk = 1, jpkm1 |
---|
[9109] | 1219 | un(:,:,jk) = ( un_adv(:,:)*r1_hu_n(:,:) & |
---|
| 1220 | & + zuwdav2(:,:)*(un(:,:,jk) - un_adv(:,:)*r1_hu_n(:,:)) ) * umask(:,:,jk) |
---|
| 1221 | vn(:,:,jk) = ( vn_adv(:,:)*r1_hv_n(:,:) & |
---|
| 1222 | & + zvwdav2(:,:)*(vn(:,:,jk) - vn_adv(:,:)*r1_hv_n(:,:)) ) * vmask(:,:,jk) |
---|
[9023] | 1223 | END DO |
---|
| 1224 | END IF |
---|
| 1225 | |
---|
| 1226 | |
---|
| 1227 | CALL iom_put( "ubar", un_adv(:,:)*r1_hu_n(:,:) ) ! barotropic i-current |
---|
| 1228 | CALL iom_put( "vbar", vn_adv(:,:)*r1_hv_n(:,:) ) ! barotropic i-current |
---|
[1502] | 1229 | ! |
---|
[4486] | 1230 | #if defined key_agrif |
---|
| 1231 | ! Save time integrated fluxes during child grid integration |
---|
[5656] | 1232 | ! (used to update coarse grid transports at next time step) |
---|
[4486] | 1233 | ! |
---|
[6140] | 1234 | IF( .NOT.Agrif_Root() .AND. ln_bt_fw ) THEN |
---|
| 1235 | IF( Agrif_NbStepint() == 0 ) THEN |
---|
[7753] | 1236 | ub2_i_b(:,:) = 0._wp |
---|
| 1237 | vb2_i_b(:,:) = 0._wp |
---|
[4486] | 1238 | END IF |
---|
| 1239 | ! |
---|
| 1240 | za1 = 1._wp / REAL(Agrif_rhot(), wp) |
---|
[7753] | 1241 | ub2_i_b(:,:) = ub2_i_b(:,:) + za1 * ub2_b(:,:) |
---|
| 1242 | vb2_i_b(:,:) = vb2_i_b(:,:) + za1 * vb2_b(:,:) |
---|
[4486] | 1243 | ENDIF |
---|
| 1244 | #endif |
---|
[1502] | 1245 | ! !* write time-spliting arrays in the restart |
---|
[6140] | 1246 | IF( lrst_oce .AND.ln_bt_fw ) CALL ts_rst( kt, 'WRITE' ) |
---|
[508] | 1247 | ! |
---|
[9023] | 1248 | IF( ln_wd_il ) DEALLOCATE( zcpx, zcpy ) |
---|
| 1249 | IF( ln_wd_dl ) DEALLOCATE( ztwdmask, zuwdmask, zvwdmask, zuwdav2, zvwdav2 ) |
---|
[1662] | 1250 | ! |
---|
[9019] | 1251 | IF( ln_diatmb ) THEN |
---|
[6140] | 1252 | CALL iom_put( "baro_u" , un_b*umask(:,:,1)+zmdi*(1-umask(:,:,1 ) ) ) ! Barotropic U Velocity |
---|
| 1253 | CALL iom_put( "baro_v" , vn_b*vmask(:,:,1)+zmdi*(1-vmask(:,:,1 ) ) ) ! Barotropic V Velocity |
---|
| 1254 | ENDIF |
---|
[2715] | 1255 | ! |
---|
[508] | 1256 | END SUBROUTINE dyn_spg_ts |
---|
| 1257 | |
---|
[6140] | 1258 | |
---|
[4292] | 1259 | SUBROUTINE ts_wgt( ll_av, ll_fw, jpit, zwgt1, zwgt2) |
---|
| 1260 | !!--------------------------------------------------------------------- |
---|
| 1261 | !! *** ROUTINE ts_wgt *** |
---|
| 1262 | !! |
---|
| 1263 | !! ** Purpose : Set time-splitting weights for temporal averaging (or not) |
---|
| 1264 | !!---------------------------------------------------------------------- |
---|
| 1265 | LOGICAL, INTENT(in) :: ll_av ! temporal averaging=.true. |
---|
| 1266 | LOGICAL, INTENT(in) :: ll_fw ! forward time splitting =.true. |
---|
| 1267 | INTEGER, INTENT(inout) :: jpit ! cycle length |
---|
| 1268 | REAL(wp), DIMENSION(3*nn_baro), INTENT(inout) :: zwgt1, & ! Primary weights |
---|
| 1269 | zwgt2 ! Secondary weights |
---|
| 1270 | |
---|
| 1271 | INTEGER :: jic, jn, ji ! temporary integers |
---|
| 1272 | REAL(wp) :: za1, za2 |
---|
| 1273 | !!---------------------------------------------------------------------- |
---|
[508] | 1274 | |
---|
[4292] | 1275 | zwgt1(:) = 0._wp |
---|
| 1276 | zwgt2(:) = 0._wp |
---|
| 1277 | |
---|
| 1278 | ! Set time index when averaged value is requested |
---|
| 1279 | IF (ll_fw) THEN |
---|
| 1280 | jic = nn_baro |
---|
| 1281 | ELSE |
---|
| 1282 | jic = 2 * nn_baro |
---|
| 1283 | ENDIF |
---|
| 1284 | |
---|
| 1285 | ! Set primary weights: |
---|
| 1286 | IF (ll_av) THEN |
---|
| 1287 | ! Define simple boxcar window for primary weights |
---|
| 1288 | ! (width = nn_baro, centered around jic) |
---|
| 1289 | SELECT CASE ( nn_bt_flt ) |
---|
| 1290 | CASE( 0 ) ! No averaging |
---|
| 1291 | zwgt1(jic) = 1._wp |
---|
| 1292 | jpit = jic |
---|
| 1293 | |
---|
| 1294 | CASE( 1 ) ! Boxcar, width = nn_baro |
---|
| 1295 | DO jn = 1, 3*nn_baro |
---|
| 1296 | za1 = ABS(float(jn-jic))/float(nn_baro) |
---|
| 1297 | IF (za1 < 0.5_wp) THEN |
---|
| 1298 | zwgt1(jn) = 1._wp |
---|
| 1299 | jpit = jn |
---|
| 1300 | ENDIF |
---|
| 1301 | ENDDO |
---|
| 1302 | |
---|
| 1303 | CASE( 2 ) ! Boxcar, width = 2 * nn_baro |
---|
| 1304 | DO jn = 1, 3*nn_baro |
---|
| 1305 | za1 = ABS(float(jn-jic))/float(nn_baro) |
---|
| 1306 | IF (za1 < 1._wp) THEN |
---|
| 1307 | zwgt1(jn) = 1._wp |
---|
| 1308 | jpit = jn |
---|
| 1309 | ENDIF |
---|
| 1310 | ENDDO |
---|
| 1311 | CASE DEFAULT ; CALL ctl_stop( 'unrecognised value for nn_bt_flt' ) |
---|
| 1312 | END SELECT |
---|
| 1313 | |
---|
| 1314 | ELSE ! No time averaging |
---|
| 1315 | zwgt1(jic) = 1._wp |
---|
| 1316 | jpit = jic |
---|
| 1317 | ENDIF |
---|
| 1318 | |
---|
| 1319 | ! Set secondary weights |
---|
| 1320 | DO jn = 1, jpit |
---|
| 1321 | DO ji = jn, jpit |
---|
| 1322 | zwgt2(jn) = zwgt2(jn) + zwgt1(ji) |
---|
| 1323 | END DO |
---|
| 1324 | END DO |
---|
| 1325 | |
---|
| 1326 | ! Normalize weigths: |
---|
| 1327 | za1 = 1._wp / SUM(zwgt1(1:jpit)) |
---|
| 1328 | za2 = 1._wp / SUM(zwgt2(1:jpit)) |
---|
| 1329 | DO jn = 1, jpit |
---|
| 1330 | zwgt1(jn) = zwgt1(jn) * za1 |
---|
| 1331 | zwgt2(jn) = zwgt2(jn) * za2 |
---|
| 1332 | END DO |
---|
| 1333 | ! |
---|
| 1334 | END SUBROUTINE ts_wgt |
---|
| 1335 | |
---|
[6140] | 1336 | |
---|
[508] | 1337 | SUBROUTINE ts_rst( kt, cdrw ) |
---|
| 1338 | !!--------------------------------------------------------------------- |
---|
| 1339 | !! *** ROUTINE ts_rst *** |
---|
| 1340 | !! |
---|
| 1341 | !! ** Purpose : Read or write time-splitting arrays in restart file |
---|
| 1342 | !!---------------------------------------------------------------------- |
---|
| 1343 | INTEGER , INTENT(in) :: kt ! ocean time-step |
---|
| 1344 | CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag |
---|
| 1345 | ! |
---|
| 1346 | !!---------------------------------------------------------------------- |
---|
| 1347 | ! |
---|
| 1348 | IF( TRIM(cdrw) == 'READ' ) THEN |
---|
[9367] | 1349 | CALL iom_get( numror, jpdom_autoglo, 'ub2_b' , ub2_b (:,:), ldxios = lrxios ) |
---|
| 1350 | CALL iom_get( numror, jpdom_autoglo, 'vb2_b' , vb2_b (:,:), ldxios = lrxios ) |
---|
| 1351 | CALL iom_get( numror, jpdom_autoglo, 'un_bf' , un_bf (:,:), ldxios = lrxios ) |
---|
| 1352 | CALL iom_get( numror, jpdom_autoglo, 'vn_bf' , vn_bf (:,:), ldxios = lrxios ) |
---|
[4370] | 1353 | IF( .NOT.ln_bt_av ) THEN |
---|
[9367] | 1354 | CALL iom_get( numror, jpdom_autoglo, 'sshbb_e' , sshbb_e(:,:), ldxios = lrxios ) |
---|
| 1355 | CALL iom_get( numror, jpdom_autoglo, 'ubb_e' , ubb_e(:,:), ldxios = lrxios ) |
---|
| 1356 | CALL iom_get( numror, jpdom_autoglo, 'vbb_e' , vbb_e(:,:), ldxios = lrxios ) |
---|
| 1357 | CALL iom_get( numror, jpdom_autoglo, 'sshb_e' , sshb_e(:,:), ldxios = lrxios ) |
---|
| 1358 | CALL iom_get( numror, jpdom_autoglo, 'ub_e' , ub_e(:,:), ldxios = lrxios ) |
---|
| 1359 | CALL iom_get( numror, jpdom_autoglo, 'vb_e' , vb_e(:,:), ldxios = lrxios ) |
---|
[508] | 1360 | ENDIF |
---|
[4486] | 1361 | #if defined key_agrif |
---|
| 1362 | ! Read time integrated fluxes |
---|
| 1363 | IF ( .NOT.Agrif_Root() ) THEN |
---|
[9367] | 1364 | CALL iom_get( numror, jpdom_autoglo, 'ub2_i_b' , ub2_i_b(:,:), ldxios = lrxios ) |
---|
| 1365 | CALL iom_get( numror, jpdom_autoglo, 'vb2_i_b' , vb2_i_b(:,:), ldxios = lrxios ) |
---|
[4486] | 1366 | ENDIF |
---|
| 1367 | #endif |
---|
[4292] | 1368 | ! |
---|
| 1369 | ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN |
---|
[9367] | 1370 | IF( lwxios ) CALL iom_swap( cwxios_context ) |
---|
| 1371 | CALL iom_rstput( kt, nitrst, numrow, 'ub2_b' , ub2_b (:,:), ldxios = lwxios ) |
---|
| 1372 | CALL iom_rstput( kt, nitrst, numrow, 'vb2_b' , vb2_b (:,:), ldxios = lwxios ) |
---|
| 1373 | CALL iom_rstput( kt, nitrst, numrow, 'un_bf' , un_bf (:,:), ldxios = lwxios ) |
---|
| 1374 | CALL iom_rstput( kt, nitrst, numrow, 'vn_bf' , vn_bf (:,:), ldxios = lwxios ) |
---|
[4292] | 1375 | ! |
---|
| 1376 | IF (.NOT.ln_bt_av) THEN |
---|
[9367] | 1377 | CALL iom_rstput( kt, nitrst, numrow, 'sshbb_e' , sshbb_e(:,:), ldxios = lwxios ) |
---|
| 1378 | CALL iom_rstput( kt, nitrst, numrow, 'ubb_e' , ubb_e(:,:), ldxios = lwxios ) |
---|
| 1379 | CALL iom_rstput( kt, nitrst, numrow, 'vbb_e' , vbb_e(:,:), ldxios = lwxios ) |
---|
| 1380 | CALL iom_rstput( kt, nitrst, numrow, 'sshb_e' , sshb_e(:,:), ldxios = lwxios ) |
---|
| 1381 | CALL iom_rstput( kt, nitrst, numrow, 'ub_e' , ub_e(:,:), ldxios = lwxios ) |
---|
| 1382 | CALL iom_rstput( kt, nitrst, numrow, 'vb_e' , vb_e(:,:), ldxios = lwxios ) |
---|
[4292] | 1383 | ENDIF |
---|
[4486] | 1384 | #if defined key_agrif |
---|
| 1385 | ! Save time integrated fluxes |
---|
| 1386 | IF ( .NOT.Agrif_Root() ) THEN |
---|
[9367] | 1387 | CALL iom_rstput( kt, nitrst, numrow, 'ub2_i_b' , ub2_i_b(:,:), ldxios = lwxios ) |
---|
| 1388 | CALL iom_rstput( kt, nitrst, numrow, 'vb2_i_b' , vb2_i_b(:,:), ldxios = lwxios ) |
---|
[4486] | 1389 | ENDIF |
---|
| 1390 | #endif |
---|
[9367] | 1391 | IF( lwxios ) CALL iom_swap( cxios_context ) |
---|
[4292] | 1392 | ENDIF |
---|
| 1393 | ! |
---|
| 1394 | END SUBROUTINE ts_rst |
---|
[2528] | 1395 | |
---|
[6140] | 1396 | |
---|
| 1397 | SUBROUTINE dyn_spg_ts_init |
---|
[4292] | 1398 | !!--------------------------------------------------------------------- |
---|
| 1399 | !! *** ROUTINE dyn_spg_ts_init *** |
---|
| 1400 | !! |
---|
| 1401 | !! ** Purpose : Set time splitting options |
---|
| 1402 | !!---------------------------------------------------------------------- |
---|
[6140] | 1403 | INTEGER :: ji ,jj ! dummy loop indices |
---|
| 1404 | REAL(wp) :: zxr2, zyr2, zcmax ! local scalar |
---|
[9019] | 1405 | REAL(wp), DIMENSION(jpi,jpj) :: zcu |
---|
[4292] | 1406 | !!---------------------------------------------------------------------- |
---|
[4370] | 1407 | ! |
---|
[5930] | 1408 | ! Max courant number for ext. grav. waves |
---|
[4370] | 1409 | ! |
---|
[5930] | 1410 | DO jj = 1, jpj |
---|
| 1411 | DO ji =1, jpi |
---|
| 1412 | zxr2 = r1_e1t(ji,jj) * r1_e1t(ji,jj) |
---|
| 1413 | zyr2 = r1_e2t(ji,jj) * r1_e2t(ji,jj) |
---|
[7646] | 1414 | zcu(ji,jj) = SQRT( grav * MAX(ht_0(ji,jj),0._wp) * (zxr2 + zyr2) ) |
---|
[4370] | 1415 | END DO |
---|
[5930] | 1416 | END DO |
---|
| 1417 | ! |
---|
[5836] | 1418 | zcmax = MAXVAL( zcu(:,:) ) |
---|
[4292] | 1419 | IF( lk_mpp ) CALL mpp_max( zcmax ) |
---|
[2528] | 1420 | |
---|
[4370] | 1421 | ! Estimate number of iterations to satisfy a max courant number= rn_bt_cmax |
---|
[6140] | 1422 | IF( ln_bt_auto ) nn_baro = CEILING( rdt / rn_bt_cmax * zcmax) |
---|
[4292] | 1423 | |
---|
[5836] | 1424 | rdtbt = rdt / REAL( nn_baro , wp ) |
---|
[4292] | 1425 | zcmax = zcmax * rdtbt |
---|
[9023] | 1426 | ! Print results |
---|
[4292] | 1427 | IF(lwp) WRITE(numout,*) |
---|
[9169] | 1428 | IF(lwp) WRITE(numout,*) 'dyn_spg_ts_init : split-explicit free surface' |
---|
| 1429 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~' |
---|
[5930] | 1430 | IF( ln_bt_auto ) THEN |
---|
[9169] | 1431 | IF(lwp) WRITE(numout,*) ' ln_ts_auto =.true. Automatically set nn_baro ' |
---|
[4370] | 1432 | IF(lwp) WRITE(numout,*) ' Max. courant number allowed: ', rn_bt_cmax |
---|
[4292] | 1433 | ELSE |
---|
[9169] | 1434 | IF(lwp) WRITE(numout,*) ' ln_ts_auto=.false.: Use nn_baro in namelist nn_baro = ', nn_baro |
---|
[358] | 1435 | ENDIF |
---|
[4292] | 1436 | |
---|
| 1437 | IF(ln_bt_av) THEN |
---|
[9169] | 1438 | IF(lwp) WRITE(numout,*) ' ln_bt_av =.true. ==> Time averaging over nn_baro time steps is on ' |
---|
[4292] | 1439 | ELSE |
---|
[9169] | 1440 | IF(lwp) WRITE(numout,*) ' ln_bt_av =.false. => No time averaging of barotropic variables ' |
---|
[4292] | 1441 | ENDIF |
---|
[508] | 1442 | ! |
---|
[4292] | 1443 | ! |
---|
| 1444 | IF(ln_bt_fw) THEN |
---|
[4370] | 1445 | IF(lwp) WRITE(numout,*) ' ln_bt_fw=.true. => Forward integration of barotropic variables ' |
---|
[4292] | 1446 | ELSE |
---|
[4370] | 1447 | IF(lwp) WRITE(numout,*) ' ln_bt_fw =.false.=> Centred integration of barotropic variables ' |
---|
[4292] | 1448 | ENDIF |
---|
| 1449 | ! |
---|
[4486] | 1450 | #if defined key_agrif |
---|
| 1451 | ! Restrict the use of Agrif to the forward case only |
---|
[9023] | 1452 | !!! IF( .NOT.ln_bt_fw .AND. .NOT.Agrif_Root() ) CALL ctl_stop( 'AGRIF not implemented if ln_bt_fw=.FALSE.' ) |
---|
[4486] | 1453 | #endif |
---|
| 1454 | ! |
---|
[4370] | 1455 | IF(lwp) WRITE(numout,*) ' Time filter choice, nn_bt_flt: ', nn_bt_flt |
---|
[4292] | 1456 | SELECT CASE ( nn_bt_flt ) |
---|
[6140] | 1457 | CASE( 0 ) ; IF(lwp) WRITE(numout,*) ' Dirac' |
---|
| 1458 | CASE( 1 ) ; IF(lwp) WRITE(numout,*) ' Boxcar: width = nn_baro' |
---|
| 1459 | CASE( 2 ) ; IF(lwp) WRITE(numout,*) ' Boxcar: width = 2*nn_baro' |
---|
[9169] | 1460 | CASE DEFAULT ; CALL ctl_stop( 'unrecognised value for nn_bt_flt: should 0,1, or 2' ) |
---|
[4292] | 1461 | END SELECT |
---|
| 1462 | ! |
---|
[4370] | 1463 | IF(lwp) WRITE(numout,*) ' ' |
---|
| 1464 | IF(lwp) WRITE(numout,*) ' nn_baro = ', nn_baro |
---|
| 1465 | IF(lwp) WRITE(numout,*) ' Barotropic time step [s] is :', rdtbt |
---|
| 1466 | IF(lwp) WRITE(numout,*) ' Maximum Courant number is :', zcmax |
---|
| 1467 | ! |
---|
[9023] | 1468 | IF(lwp) WRITE(numout,*) ' Time diffusion parameter rn_bt_alpha: ', rn_bt_alpha |
---|
| 1469 | IF ((ln_bt_av.AND.nn_bt_flt/=0).AND.(rn_bt_alpha>0._wp)) THEN |
---|
| 1470 | CALL ctl_stop( 'dynspg_ts ERROR: if rn_bt_alpha > 0, remove temporal averaging' ) |
---|
| 1471 | ENDIF |
---|
| 1472 | ! |
---|
[6140] | 1473 | IF( .NOT.ln_bt_av .AND. .NOT.ln_bt_fw ) THEN |
---|
[4292] | 1474 | CALL ctl_stop( 'dynspg_ts ERROR: No time averaging => only forward integration is possible' ) |
---|
| 1475 | ENDIF |
---|
[6140] | 1476 | IF( zcmax>0.9_wp ) THEN |
---|
[4292] | 1477 | CALL ctl_stop( 'dynspg_ts ERROR: Maximum Courant number is greater than 0.9: Inc. nn_baro !' ) |
---|
| 1478 | ENDIF |
---|
| 1479 | ! |
---|
[9124] | 1480 | ! ! Allocate time-splitting arrays |
---|
| 1481 | IF( dyn_spg_ts_alloc() /= 0 ) CALL ctl_stop('STOP', 'dyn_spg_init: failed to allocate dynspg_ts arrays' ) |
---|
| 1482 | ! |
---|
| 1483 | ! ! read restart when needed |
---|
| 1484 | IF( neuler /= 0 .AND. ln_bt_fw ) CALL ts_rst( nit000, 'READ' ) |
---|
| 1485 | ! |
---|
[9367] | 1486 | IF( lwxios ) THEN |
---|
| 1487 | ! define variables in restart file when writing with XIOS |
---|
| 1488 | CALL iom_set_rstw_var_active('ub2_b') |
---|
| 1489 | CALL iom_set_rstw_var_active('vb2_b') |
---|
| 1490 | CALL iom_set_rstw_var_active('un_bf') |
---|
| 1491 | CALL iom_set_rstw_var_active('vn_bf') |
---|
| 1492 | ! |
---|
| 1493 | IF (.NOT.ln_bt_av) THEN |
---|
| 1494 | CALL iom_set_rstw_var_active('sshbb_e') |
---|
| 1495 | CALL iom_set_rstw_var_active('ubb_e') |
---|
| 1496 | CALL iom_set_rstw_var_active('vbb_e') |
---|
| 1497 | CALL iom_set_rstw_var_active('sshb_e') |
---|
| 1498 | CALL iom_set_rstw_var_active('ub_e') |
---|
| 1499 | CALL iom_set_rstw_var_active('vb_e') |
---|
| 1500 | ENDIF |
---|
| 1501 | #if defined key_agrif |
---|
| 1502 | ! Save time integrated fluxes |
---|
| 1503 | IF ( .NOT.Agrif_Root() ) THEN |
---|
| 1504 | CALL iom_set_rstw_var_active('ub2_i_b') |
---|
| 1505 | CALL iom_set_rstw_var_active('vb2_i_b') |
---|
| 1506 | ENDIF |
---|
| 1507 | #endif |
---|
| 1508 | ENDIF |
---|
| 1509 | ! |
---|
[4292] | 1510 | END SUBROUTINE dyn_spg_ts_init |
---|
[508] | 1511 | |
---|
[358] | 1512 | !!====================================================================== |
---|
| 1513 | END MODULE dynspg_ts |
---|