| 1 | MODULE dynspg_ts |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE dynspg_ts *** |
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| 4 | !! Ocean dynamics: surface pressure gradient trend, split-explicit scheme |
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| 5 | !!====================================================================== |
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| 6 | !! History : 1.0 ! 2004-12 (L. Bessieres, G. Madec) Original code |
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| 7 | !! - ! 2005-11 (V. Garnier, G. Madec) optimization |
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| 8 | !! - ! 2006-08 (S. Masson) distributed restart using iom |
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| 9 | !! 2.0 ! 2007-07 (D. Storkey) calls to BDY routines |
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| 10 | !! - ! 2008-01 (R. Benshila) change averaging method |
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| 11 | !! 3.2 ! 2009-07 (R. Benshila, G. Madec) Complete revisit associated to vvl reactivation |
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| 12 | !! 3.3 ! 2010-09 (D. Storkey, E. O'Dea) update for BDY for Shelf configurations |
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| 13 | !! 3.3 ! 2011-03 (R. Benshila, R. Hordoir, P. Oddo) update calculation of ub_b |
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| 14 | !! 3.5 ! 2013-07 (J. Chanut) Switch to Forward-backward time stepping |
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| 15 | !! 3.6 ! 2013-11 (A. Coward) Update for z-tilde compatibility |
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| 16 | !! 3.7 ! 2015-11 (J. Chanut) free surface simplification |
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| 17 | !! - ! 2016-12 (G. Madec, E. Clementi) update for Stoke-Drift divergence |
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| 18 | !! 4.0 ! 2017-05 (G. Madec) drag coef. defined at t-point (zdfdrg.F90) |
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| 19 | !!--------------------------------------------------------------------- |
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| 20 | |
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| 21 | !!---------------------------------------------------------------------- |
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| 22 | !! dyn_spg_ts : compute surface pressure gradient trend using a time-splitting scheme |
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| 23 | !! dyn_spg_ts_init: initialisation of the time-splitting scheme |
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| 24 | !! ts_wgt : set time-splitting weights for temporal averaging (or not) |
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| 25 | !! ts_rst : read/write time-splitting fields in restart file |
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| 26 | !!---------------------------------------------------------------------- |
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| 27 | USE oce ! ocean dynamics and tracers |
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| 28 | USE dom_oce ! ocean space and time domain |
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| 29 | USE sbc_oce ! surface boundary condition: ocean |
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| 30 | USE zdf_oce ! vertical physics: variables |
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| 31 | USE zdfdrg ! vertical physics: top/bottom drag coef. |
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| 32 | USE sbcisf ! ice shelf variable (fwfisf) |
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| 33 | USE sbcapr ! surface boundary condition: atmospheric pressure |
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| 34 | USE dynadv , ONLY: ln_dynadv_vec |
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| 35 | USE phycst ! physical constants |
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| 36 | USE dynvor ! vorticity term |
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| 37 | USE wet_dry ! wetting/drying flux limter |
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| 38 | USE bdy_oce ! open boundary |
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| 39 | USE bdytides ! open boundary condition data |
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| 40 | USE bdydyn2d ! open boundary conditions on barotropic variables |
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| 41 | USE sbctide ! tides |
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| 42 | USE updtide ! tide potential |
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| 43 | USE sbcwave ! surface wave |
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| 44 | USE diatmb ! Top,middle,bottom output |
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| 45 | #if defined key_agrif |
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| 46 | USE agrif_opa_interp ! agrif |
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| 47 | #endif |
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| 48 | #if defined key_asminc |
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| 49 | USE asminc ! Assimilation increment |
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| 50 | #endif |
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| 51 | ! |
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| 52 | USE in_out_manager ! I/O manager |
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| 53 | USE lib_mpp ! distributed memory computing library |
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| 54 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 55 | USE prtctl ! Print control |
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| 56 | USE iom ! IOM library |
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| 57 | USE restart ! only for lrst_oce |
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| 58 | USE timing ! Timing |
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| 59 | |
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| 60 | IMPLICIT NONE |
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| 61 | PRIVATE |
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| 62 | |
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| 63 | PUBLIC dyn_spg_ts ! routine called in dynspg.F90 |
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| 64 | PUBLIC dyn_spg_ts_alloc ! " " " " |
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| 65 | PUBLIC dyn_spg_ts_init ! " " " " |
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| 66 | PUBLIC ts_rst ! " " " " |
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| 67 | |
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| 68 | !! Time filtered arrays at baroclinic time step: |
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| 69 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: un_adv , vn_adv !: Advection vel. at "now" barocl. step |
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| 70 | |
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| 71 | INTEGER , SAVE :: icycle ! Number of barotropic sub-steps for each internal step nn_baro <= 2.5 nn_baro |
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| 72 | REAL(wp), SAVE :: rdtbt ! Barotropic time step |
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| 73 | ! |
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| 74 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:) :: wgtbtp1, wgtbtp2 ! 1st & 2nd weights used in time filtering of barotropic fields |
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| 75 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: zwz ! ff_f/h at F points |
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| 76 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: ftnw, ftne ! triad of coriolis parameter |
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| 77 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: ftsw, ftse ! (only used with een vorticity scheme) |
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| 78 | |
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| 79 | REAL(wp) :: r1_12 = 1._wp / 12._wp ! local ratios |
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| 80 | REAL(wp) :: r1_8 = 0.125_wp ! |
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| 81 | REAL(wp) :: r1_4 = 0.25_wp ! |
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| 82 | REAL(wp) :: r1_2 = 0.5_wp ! |
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| 83 | |
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| 84 | !! * Substitutions |
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| 85 | # include "vectopt_loop_substitute.h90" |
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| 86 | !!---------------------------------------------------------------------- |
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| 87 | !! NEMO/OPA 4.0 , NEMO Consortium (2017) |
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| 88 | !! $Id$ |
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| 89 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 90 | !!---------------------------------------------------------------------- |
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| 91 | CONTAINS |
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| 92 | |
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| 93 | INTEGER FUNCTION dyn_spg_ts_alloc() |
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| 94 | !!---------------------------------------------------------------------- |
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| 95 | !! *** routine dyn_spg_ts_alloc *** |
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| 96 | !!---------------------------------------------------------------------- |
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| 97 | INTEGER :: ierr(3) |
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| 98 | !!---------------------------------------------------------------------- |
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| 99 | ierr(:) = 0 |
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| 100 | ! |
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| 101 | ALLOCATE( wgtbtp1(3*nn_baro), wgtbtp2(3*nn_baro), zwz(jpi,jpj), STAT=ierr(1) ) |
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| 102 | ! |
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| 103 | IF( ln_dynvor_een ) ALLOCATE( ftnw(jpi,jpj) , ftne(jpi,jpj) , & |
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| 104 | & ftsw(jpi,jpj) , ftse(jpi,jpj) , STAT=ierr(2) ) |
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| 105 | ! |
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| 106 | ALLOCATE( un_adv(jpi,jpj), vn_adv(jpi,jpj) , STAT=ierr(3) ) |
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| 107 | ! |
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| 108 | dyn_spg_ts_alloc = MAXVAL( ierr(:) ) |
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| 109 | ! |
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| 110 | IF( lk_mpp ) CALL mpp_sum( dyn_spg_ts_alloc ) |
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| 111 | IF( dyn_spg_ts_alloc /= 0 ) CALL ctl_warn('dyn_spg_ts_alloc: failed to allocate arrays') |
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| 112 | ! |
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| 113 | END FUNCTION dyn_spg_ts_alloc |
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| 114 | |
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| 115 | |
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| 116 | SUBROUTINE dyn_spg_ts( kt ) |
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| 117 | !!---------------------------------------------------------------------- |
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| 118 | !! |
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| 119 | !! ** Purpose : - Compute the now trend due to the explicit time stepping |
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| 120 | !! of the quasi-linear barotropic system, and add it to the |
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| 121 | !! general momentum trend. |
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| 122 | !! |
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| 123 | !! ** Method : - split-explicit schem (time splitting) : |
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| 124 | !! Barotropic variables are advanced from internal time steps |
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| 125 | !! "n" to "n+1" if ln_bt_fw=T |
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| 126 | !! or from |
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| 127 | !! "n-1" to "n+1" if ln_bt_fw=F |
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| 128 | !! thanks to a generalized forward-backward time stepping (see ref. below). |
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| 129 | !! |
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| 130 | !! ** Action : |
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| 131 | !! -Update the filtered free surface at step "n+1" : ssha |
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| 132 | !! -Update filtered barotropic velocities at step "n+1" : ua_b, va_b |
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| 133 | !! -Compute barotropic advective velocities at step "n" : un_adv, vn_adv |
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| 134 | !! These are used to advect tracers and are compliant with discrete |
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| 135 | !! continuity equation taken at the baroclinic time steps. This |
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| 136 | !! ensures tracers conservation. |
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| 137 | !! - (ua, va) momentum trend updated with barotropic component. |
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| 138 | !! |
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| 139 | !! References : Shchepetkin and McWilliams, Ocean Modelling, 2005. |
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| 140 | !!--------------------------------------------------------------------- |
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| 141 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 142 | ! |
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| 143 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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| 144 | LOGICAL :: ll_fw_start ! =T : forward integration |
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| 145 | LOGICAL :: ll_init ! =T : special startup of 2d equations |
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| 146 | LOGICAL :: ll_tmp1, ll_tmp2 ! local logical variables used in W/D |
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| 147 | INTEGER :: ikbu, iktu, noffset ! local integers |
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| 148 | INTEGER :: ikbv, iktv ! - - |
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| 149 | REAL(wp) :: z1_2dt_b, z2dt_bf ! local scalars |
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| 150 | REAL(wp) :: zx1, zx2, zu_spg, zhura ! - - |
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| 151 | REAL(wp) :: zy1, zy2, zv_spg, zhvra ! - - |
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| 152 | REAL(wp) :: za0, za1, za2, za3 ! - - |
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| 153 | REAL(wp) :: zmdi, zztmp ! - - |
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| 154 | REAL(wp), DIMENSION(jpi,jpj) :: zsshp2_e, zhf |
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| 155 | REAL(wp), DIMENSION(jpi,jpj) :: zwx, zu_trd, zu_frc, zssh_frc |
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| 156 | REAL(wp), DIMENSION(jpi,jpj) :: zwy, zv_trd, zv_frc, zhdiv |
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| 157 | REAL(wp), DIMENSION(jpi,jpj) :: zsshu_a, zhup2_e, zhust_e |
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| 158 | REAL(wp), DIMENSION(jpi,jpj) :: zsshv_a, zhvp2_e, zhvst_e |
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| 159 | REAL(wp), DIMENSION(jpi,jpj) :: zCdU_u, zCdU_v ! top/bottom stress at u- & v-points |
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| 160 | ! |
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| 161 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zcpx, zcpy ! Wetting/Dying gravity filter coef. |
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| 162 | !!---------------------------------------------------------------------- |
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| 163 | ! |
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| 164 | IF( nn_timing == 1 ) CALL timing_start('dyn_spg_ts') |
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| 165 | ! |
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| 166 | IF( ln_wd ) ALLOCATE( zcpx(jpi,jpj), zcpy(jpi,jpj) ) |
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| 167 | ! |
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| 168 | zmdi=1.e+20 ! missing data indicator for masking |
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| 169 | ! |
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| 170 | ! ! reciprocal of baroclinic time step |
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| 171 | IF( kt == nit000 .AND. neuler == 0 ) THEN ; z2dt_bf = rdt |
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| 172 | ELSE ; z2dt_bf = 2.0_wp * rdt |
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| 173 | ENDIF |
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| 174 | z1_2dt_b = 1.0_wp / z2dt_bf |
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| 175 | ! |
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| 176 | ll_init = ln_bt_av ! if no time averaging, then no specific restart |
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| 177 | ll_fw_start = .FALSE. |
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| 178 | ! ! time offset in steps for bdy data update |
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| 179 | IF( .NOT.ln_bt_fw ) THEN ; noffset = - nn_baro |
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| 180 | ELSE ; noffset = 0 |
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| 181 | ENDIF |
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| 182 | ! |
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| 183 | IF( kt == nit000 ) THEN !* initialisation |
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| 184 | ! |
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| 185 | IF(lwp) WRITE(numout,*) |
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| 186 | IF(lwp) WRITE(numout,*) 'dyn_spg_ts : surface pressure gradient trend' |
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| 187 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~ free surface with time splitting' |
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| 188 | IF(lwp) WRITE(numout,*) |
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| 189 | ! |
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| 190 | IF( neuler == 0 ) ll_init=.TRUE. |
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| 191 | ! |
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| 192 | IF( ln_bt_fw .OR. neuler == 0 ) THEN |
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| 193 | ll_fw_start =.TRUE. |
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| 194 | noffset = 0 |
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| 195 | ELSE |
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| 196 | ll_fw_start =.FALSE. |
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| 197 | ENDIF |
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| 198 | ! |
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| 199 | ! Set averaging weights and cycle length: |
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| 200 | CALL ts_wgt( ln_bt_av, ll_fw_start, icycle, wgtbtp1, wgtbtp2 ) |
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| 201 | ! |
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| 202 | ENDIF |
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| 203 | ! |
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| 204 | IF( ln_isfcav ) THEN ! top+bottom friction (ocean cavities) |
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| 205 | DO jj = 2, jpjm1 |
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| 206 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 207 | zCdU_u(ji,jj) = 0.5*( rCdU_bot(ji+1,jj)+rCdU_bot(ji,jj) + rCdU_top(ji+1,jj)+rCdU_top(ji,jj) ) |
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| 208 | zCdU_v(ji,jj) = 0.5*( rCdU_bot(ji,jj+1)+rCdU_bot(ji,jj) + rCdU_top(ji+1,jj)+rCdU_top(ji,jj) ) |
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| 209 | END DO |
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| 210 | END DO |
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| 211 | ELSE ! bottom friction only |
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| 212 | DO jj = 2, jpjm1 |
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| 213 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 214 | zCdU_u(ji,jj) = 0.5*( rCdU_bot(ji+1,jj)+rCdU_bot(ji,jj) ) |
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| 215 | zCdU_v(ji,jj) = 0.5*( rCdU_bot(ji,jj+1)+rCdU_bot(ji,jj) ) |
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| 216 | END DO |
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| 217 | END DO |
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| 218 | ENDIF |
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| 219 | ! |
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| 220 | ! Set arrays to remove/compute coriolis trend. |
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| 221 | ! Do it once at kt=nit000 if volume is fixed, else at each long time step. |
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| 222 | ! Note that these arrays are also used during barotropic loop. These are however frozen |
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| 223 | ! although they should be updated in the variable volume case. Not a big approximation. |
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| 224 | ! To remove this approximation, copy lines below inside barotropic loop |
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| 225 | ! and update depths at T-F points (ht and zhf resp.) at each barotropic time step |
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| 226 | ! |
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| 227 | IF( kt == nit000 .OR. .NOT.ln_linssh ) THEN |
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| 228 | IF( ln_dynvor_een ) THEN !== EEN scheme ==! |
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| 229 | SELECT CASE( nn_een_e3f ) !* ff_f/e3 at F-point |
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| 230 | CASE ( 0 ) ! original formulation (masked averaging of e3t divided by 4) |
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| 231 | DO jj = 1, jpjm1 |
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| 232 | DO ji = 1, jpim1 |
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| 233 | zwz(ji,jj) = ( ht_n(ji ,jj+1) + ht_n(ji+1,jj+1) + & |
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| 234 | & ht_n(ji ,jj ) + ht_n(ji+1,jj ) ) * 0.25_wp |
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| 235 | IF( zwz(ji,jj) /= 0._wp ) zwz(ji,jj) = ff_f(ji,jj) / zwz(ji,jj) |
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| 236 | END DO |
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| 237 | END DO |
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| 238 | CASE ( 1 ) ! new formulation (masked averaging of e3t divided by the sum of mask) |
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| 239 | DO jj = 1, jpjm1 |
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| 240 | DO ji = 1, jpim1 |
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| 241 | zwz(ji,jj) = ( ht_n(ji ,jj+1) + ht_n(ji+1,jj+1) + & |
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| 242 | & ht_n(ji ,jj ) + ht_n(ji+1,jj ) ) & |
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| 243 | & / ( MAX( 1._wp, tmask(ji ,jj+1, 1) + tmask(ji+1,jj+1, 1) + & |
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| 244 | & tmask(ji ,jj , 1) + tmask(ji+1,jj , 1) ) ) |
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| 245 | IF( zwz(ji,jj) /= 0._wp ) zwz(ji,jj) = ff_f(ji,jj) / zwz(ji,jj) |
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| 246 | END DO |
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| 247 | END DO |
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| 248 | END SELECT |
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| 249 | CALL lbc_lnk( zwz, 'F', 1._wp ) |
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| 250 | ! |
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| 251 | ftne(1,:) = 0._wp ; ftnw(1,:) = 0._wp ; ftse(1,:) = 0._wp ; ftsw(1,:) = 0._wp |
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| 252 | DO jj = 2, jpj |
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| 253 | DO ji = 2, jpi |
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| 254 | ftne(ji,jj) = zwz(ji-1,jj ) + zwz(ji ,jj ) + zwz(ji ,jj-1) |
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| 255 | ftnw(ji,jj) = zwz(ji-1,jj-1) + zwz(ji-1,jj ) + zwz(ji ,jj ) |
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| 256 | ftse(ji,jj) = zwz(ji ,jj ) + zwz(ji ,jj-1) + zwz(ji-1,jj-1) |
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| 257 | ftsw(ji,jj) = zwz(ji ,jj-1) + zwz(ji-1,jj-1) + zwz(ji-1,jj ) |
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| 258 | END DO |
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| 259 | END DO |
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| 260 | ! |
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| 261 | ELSE !== all other schemes (ENE, ENS, MIX) |
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| 262 | zwz(:,:) = 0._wp |
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| 263 | zhf(:,:) = 0._wp |
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| 264 | |
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| 265 | !!gm assume 0 in both cases (xhich is almost surely WRONG ! ) as hvatf has been removed |
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| 266 | !!gm A priori a better value should be something like : |
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| 267 | !!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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| 268 | !!gm divided by the sum of the corresponding mask |
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| 269 | !!gm |
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| 270 | !! |
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| 271 | IF( .NOT.ln_sco ) THEN |
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| 272 | |
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| 273 | !!gm agree the JC comment : this should be done in a much clear way |
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| 274 | |
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| 275 | ! JC: It not clear yet what should be the depth at f-points over land in z-coordinate case |
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| 276 | ! Set it to zero for the time being |
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| 277 | ! IF( rn_hmin < 0._wp ) THEN ; jk = - INT( rn_hmin ) ! from a nb of level |
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| 278 | ! ELSE ; jk = MINLOC( gdepw_0, mask = gdepw_0 > rn_hmin, dim = 1 ) ! from a depth |
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| 279 | ! ENDIF |
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| 280 | ! zhf(:,:) = gdepw_0(:,:,jk+1) |
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| 281 | ELSE |
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| 282 | !zhf(:,:) = hbatf(:,:) |
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| 283 | DO jj = 1, jpjm1 |
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| 284 | DO ji = 1, jpim1 |
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| 285 | zhf(ji,jj) = MAX( 0._wp, & |
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| 286 | & ( ht_0(ji ,jj )*tmask(ji ,jj ,1) + & |
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| 287 | & ht_0(ji+1,jj )*tmask(ji+1,jj ,1) + & |
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| 288 | & ht_0(ji ,jj+1)*tmask(ji ,jj+1,1) + & |
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| 289 | & ht_0(ji+1,jj+1)*tmask(ji+1,jj+1,1) ) / & |
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| 290 | & ( tmask(ji ,jj ,1) + tmask(ji+1,jj ,1) +& |
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| 291 | & tmask(ji ,jj+1,1) + tmask(ji+1,jj+1,1) +& |
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| 292 | & rsmall ) ) |
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| 293 | END DO |
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| 294 | END DO |
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| 295 | END IF |
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| 296 | |
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| 297 | DO jj = 1, jpjm1 |
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| 298 | zhf(:,jj) = zhf(:,jj) * (1._wp- umask(:,jj,1) * umask(:,jj+1,1)) |
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| 299 | END DO |
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| 300 | !!gm end |
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| 301 | |
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| 302 | DO jk = 1, jpkm1 |
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| 303 | DO jj = 1, jpjm1 |
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| 304 | zhf(:,jj) = zhf(:,jj) + e3f_n(:,jj,jk) * umask(:,jj,jk) * umask(:,jj+1,jk) |
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| 305 | END DO |
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| 306 | END DO |
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| 307 | CALL lbc_lnk( zhf, 'F', 1._wp ) |
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| 308 | ! JC: TBC. hf should be greater than 0 |
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| 309 | DO jj = 1, jpj |
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| 310 | DO ji = 1, jpi |
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| 311 | 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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| 312 | END DO |
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| 313 | END DO |
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| 314 | zwz(:,:) = ff_f(:,:) * zwz(:,:) |
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| 315 | ENDIF |
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| 316 | ENDIF |
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| 317 | ! |
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| 318 | ! If forward start at previous time step, and centered integration, |
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| 319 | ! then update averaging weights: |
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| 320 | IF (.NOT.ln_bt_fw .AND.( neuler==0 .AND. kt==nit000+1 ) ) THEN |
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| 321 | ll_fw_start=.FALSE. |
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| 322 | CALL ts_wgt( ln_bt_av, ll_fw_start, icycle, wgtbtp1, wgtbtp2 ) |
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| 323 | ENDIF |
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| 324 | |
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| 325 | ! ----------------------------------------------------------------------------- |
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| 326 | ! Phase 1 : Coupling between general trend and barotropic estimates (1st step) |
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| 327 | ! ----------------------------------------------------------------------------- |
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| 328 | ! |
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| 329 | ! |
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| 330 | ! !* e3*d/dt(Ua) (Vertically integrated) |
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| 331 | ! ! -------------------------------------------------- |
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| 332 | zu_frc(:,:) = 0._wp |
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| 333 | zv_frc(:,:) = 0._wp |
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| 334 | ! |
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| 335 | DO jk = 1, jpkm1 |
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| 336 | zu_frc(:,:) = zu_frc(:,:) + e3u_n(:,:,jk) * ua(:,:,jk) * umask(:,:,jk) |
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| 337 | zv_frc(:,:) = zv_frc(:,:) + e3v_n(:,:,jk) * va(:,:,jk) * vmask(:,:,jk) |
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| 338 | END DO |
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| 339 | ! |
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| 340 | zu_frc(:,:) = zu_frc(:,:) * r1_hu_n(:,:) |
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| 341 | zv_frc(:,:) = zv_frc(:,:) * r1_hv_n(:,:) |
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| 342 | ! |
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| 343 | ! |
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| 344 | ! !* baroclinic momentum trend (remove the vertical mean trend) |
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| 345 | DO jk = 1, jpkm1 ! ----------------------------------------------------------- |
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| 346 | DO jj = 2, jpjm1 |
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| 347 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 348 | ua(ji,jj,jk) = ua(ji,jj,jk) - zu_frc(ji,jj) * umask(ji,jj,jk) |
|---|
| 349 | va(ji,jj,jk) = va(ji,jj,jk) - zv_frc(ji,jj) * vmask(ji,jj,jk) |
|---|
| 350 | END DO |
|---|
| 351 | END DO |
|---|
| 352 | END DO |
|---|
| 353 | |
|---|
| 354 | !!gm Question here when removing the Vertically integrated trends, we remove the vertically integrated NL trends on momentum.... |
|---|
| 355 | !!gm Is it correct to do so ? I think so... |
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| 356 | |
|---|
| 357 | |
|---|
| 358 | ! !* barotropic Coriolis trends (vorticity scheme dependent) |
|---|
| 359 | ! ! -------------------------------------------------------- |
|---|
| 360 | zwx(:,:) = un_b(:,:) * hu_n(:,:) * e2u(:,:) ! now fluxes |
|---|
| 361 | zwy(:,:) = vn_b(:,:) * hv_n(:,:) * e1v(:,:) |
|---|
| 362 | ! |
|---|
| 363 | IF( ln_dynvor_ene .OR. ln_dynvor_mix ) THEN ! energy conserving or mixed scheme |
|---|
| 364 | DO jj = 2, jpjm1 |
|---|
| 365 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 366 | zy1 = ( zwy(ji,jj-1) + zwy(ji+1,jj-1) ) * r1_e1u(ji,jj) |
|---|
| 367 | zy2 = ( zwy(ji,jj ) + zwy(ji+1,jj ) ) * r1_e1u(ji,jj) |
|---|
| 368 | zx1 = ( zwx(ji-1,jj) + zwx(ji-1,jj+1) ) * r1_e2v(ji,jj) |
|---|
| 369 | zx2 = ( zwx(ji ,jj) + zwx(ji ,jj+1) ) * r1_e2v(ji,jj) |
|---|
| 370 | ! energy conserving formulation for planetary vorticity term |
|---|
| 371 | zu_trd(ji,jj) = r1_4 * ( zwz(ji ,jj-1) * zy1 + zwz(ji,jj) * zy2 ) |
|---|
| 372 | zv_trd(ji,jj) = - r1_4 * ( zwz(ji-1,jj ) * zx1 + zwz(ji,jj) * zx2 ) |
|---|
| 373 | END DO |
|---|
| 374 | END DO |
|---|
| 375 | ! |
|---|
| 376 | ELSEIF ( ln_dynvor_ens ) THEN ! enstrophy conserving scheme |
|---|
| 377 | DO jj = 2, jpjm1 |
|---|
| 378 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 379 | zy1 = r1_8 * ( zwy(ji ,jj-1) + zwy(ji+1,jj-1) & |
|---|
| 380 | & + zwy(ji ,jj ) + zwy(ji+1,jj ) ) * r1_e1u(ji,jj) |
|---|
| 381 | zx1 = - r1_8 * ( zwx(ji-1,jj ) + zwx(ji-1,jj+1) & |
|---|
| 382 | & + zwx(ji ,jj ) + zwx(ji ,jj+1) ) * r1_e2v(ji,jj) |
|---|
| 383 | zu_trd(ji,jj) = zy1 * ( zwz(ji ,jj-1) + zwz(ji,jj) ) |
|---|
| 384 | zv_trd(ji,jj) = zx1 * ( zwz(ji-1,jj ) + zwz(ji,jj) ) |
|---|
| 385 | END DO |
|---|
| 386 | END DO |
|---|
| 387 | ! |
|---|
| 388 | ELSEIF ( ln_dynvor_een ) THEN ! enstrophy and energy conserving scheme |
|---|
| 389 | DO jj = 2, jpjm1 |
|---|
| 390 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 391 | zu_trd(ji,jj) = + r1_12 * r1_e1u(ji,jj) * ( ftne(ji,jj ) * zwy(ji ,jj ) & |
|---|
| 392 | & + ftnw(ji+1,jj) * zwy(ji+1,jj ) & |
|---|
| 393 | & + ftse(ji,jj ) * zwy(ji ,jj-1) & |
|---|
| 394 | & + ftsw(ji+1,jj) * zwy(ji+1,jj-1) ) |
|---|
| 395 | zv_trd(ji,jj) = - r1_12 * r1_e2v(ji,jj) * ( ftsw(ji,jj+1) * zwx(ji-1,jj+1) & |
|---|
| 396 | & + ftse(ji,jj+1) * zwx(ji ,jj+1) & |
|---|
| 397 | & + ftnw(ji,jj ) * zwx(ji-1,jj ) & |
|---|
| 398 | & + ftne(ji,jj ) * zwx(ji ,jj ) ) |
|---|
| 399 | END DO |
|---|
| 400 | END DO |
|---|
| 401 | ! |
|---|
| 402 | ENDIF |
|---|
| 403 | ! |
|---|
| 404 | ! !* Right-Hand-Side of the barotropic momentum equation |
|---|
| 405 | ! ! ---------------------------------------------------- |
|---|
| 406 | IF( .NOT.ln_linssh ) THEN ! Variable volume : remove surface pressure gradient |
|---|
| 407 | IF( ln_wd ) THEN ! Calculating and applying W/D gravity filters |
|---|
| 408 | DO jj = 2, jpjm1 |
|---|
| 409 | DO ji = 2, jpim1 |
|---|
| 410 | ll_tmp1 = MIN( sshn(ji,jj) , sshn(ji+1,jj) ) > & |
|---|
| 411 | & MAX( -ht_wd(ji,jj) , -ht_wd(ji+1,jj) ) .AND. & |
|---|
| 412 | & MAX( sshn(ji,jj) + ht_wd(ji,jj), sshn(ji+1,jj) + ht_wd(ji+1,jj) ) & |
|---|
| 413 | & > rn_wdmin1 + rn_wdmin2 |
|---|
| 414 | ll_tmp2 = ( ABS( sshn(ji+1,jj) - sshn(ji ,jj)) > 1.E-12 ).AND.( & |
|---|
| 415 | & MAX( sshn(ji,jj) , sshn(ji+1,jj) ) > & |
|---|
| 416 | & MAX( -ht_wd(ji,jj) , -ht_wd(ji+1,jj) ) + rn_wdmin1 + rn_wdmin2 ) |
|---|
| 417 | ! |
|---|
| 418 | IF(ll_tmp1) THEN |
|---|
| 419 | zcpx(ji,jj) = 1.0_wp |
|---|
| 420 | ELSE IF(ll_tmp2) THEN ! no worries about sshn(ji+1,jj) - sshn(ji ,jj) = 0, it won't happen ! here |
|---|
| 421 | zcpx(ji,jj) = ABS( (sshn(ji+1,jj) + ht_wd(ji+1,jj) - sshn(ji,jj) - ht_wd(ji,jj)) & |
|---|
| 422 | & / (sshn(ji+1,jj) - sshn(ji ,jj)) ) |
|---|
| 423 | ELSE |
|---|
| 424 | zcpx(ji,jj) = 0._wp |
|---|
| 425 | ENDIF |
|---|
| 426 | ! |
|---|
| 427 | ll_tmp1 = MIN( sshn(ji,jj) , sshn(ji,jj+1) ) > & |
|---|
| 428 | & MAX( -ht_wd(ji,jj) , -ht_wd(ji,jj+1) ) .AND. & |
|---|
| 429 | & MAX( sshn(ji,jj) + ht_wd(ji,jj), sshn(ji,jj+1) + ht_wd(ji,jj+1) ) & |
|---|
| 430 | & > rn_wdmin1 + rn_wdmin2 |
|---|
| 431 | ll_tmp2 = ( ABS( sshn(ji,jj) - sshn(ji,jj+1)) > 1.E-12 ).AND.( & |
|---|
| 432 | & MAX( sshn(ji,jj) , sshn(ji,jj+1) ) > & |
|---|
| 433 | & MAX( -ht_wd(ji,jj) , -ht_wd(ji,jj+1) ) + rn_wdmin1 + rn_wdmin2 ) |
|---|
| 434 | ! |
|---|
| 435 | IF(ll_tmp1) THEN |
|---|
| 436 | zcpy(ji,jj) = 1.0_wp |
|---|
| 437 | ELSE IF(ll_tmp2) THEN |
|---|
| 438 | ! no worries about sshn(ji,jj+1) - sshn(ji,jj ) = 0, it won't happen ! here |
|---|
| 439 | zcpy(ji,jj) = ABS( (sshn(ji,jj+1) + ht_wd(ji,jj+1) - sshn(ji,jj) - ht_wd(ji,jj)) & |
|---|
| 440 | & / (sshn(ji,jj+1) - sshn(ji,jj )) ) |
|---|
| 441 | ELSE |
|---|
| 442 | zcpy(ji,jj) = 0._wp |
|---|
| 443 | ENDIF |
|---|
| 444 | END DO |
|---|
| 445 | END DO |
|---|
| 446 | ! |
|---|
| 447 | DO jj = 2, jpjm1 |
|---|
| 448 | DO ji = 2, jpim1 |
|---|
| 449 | zu_trd(ji,jj) = zu_trd(ji,jj) - grav * ( sshn(ji+1,jj ) - sshn(ji ,jj ) ) & |
|---|
| 450 | & * r1_e1u(ji,jj) * zcpx(ji,jj) |
|---|
| 451 | zv_trd(ji,jj) = zv_trd(ji,jj) - grav * ( sshn(ji ,jj+1) - sshn(ji ,jj ) ) & |
|---|
| 452 | & * r1_e2v(ji,jj) * zcpy(ji,jj) |
|---|
| 453 | END DO |
|---|
| 454 | END DO |
|---|
| 455 | ! |
|---|
| 456 | ELSE |
|---|
| 457 | ! |
|---|
| 458 | DO jj = 2, jpjm1 |
|---|
| 459 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 460 | zu_trd(ji,jj) = zu_trd(ji,jj) - grav * ( sshn(ji+1,jj ) - sshn(ji ,jj ) ) * r1_e1u(ji,jj) |
|---|
| 461 | zv_trd(ji,jj) = zv_trd(ji,jj) - grav * ( sshn(ji ,jj+1) - sshn(ji ,jj ) ) * r1_e2v(ji,jj) |
|---|
| 462 | END DO |
|---|
| 463 | END DO |
|---|
| 464 | ENDIF |
|---|
| 465 | ! |
|---|
| 466 | ENDIF |
|---|
| 467 | ! |
|---|
| 468 | DO jj = 2, jpjm1 ! Remove coriolis term (and possibly spg) from barotropic trend |
|---|
| 469 | DO ji = fs_2, fs_jpim1 |
|---|
| 470 | zu_frc(ji,jj) = zu_frc(ji,jj) - zu_trd(ji,jj) * ssumask(ji,jj) |
|---|
| 471 | zv_frc(ji,jj) = zv_frc(ji,jj) - zv_trd(ji,jj) * ssvmask(ji,jj) |
|---|
| 472 | END DO |
|---|
| 473 | END DO |
|---|
| 474 | ! |
|---|
| 475 | ! ! Add BOTTOM stress contribution from baroclinic velocities: |
|---|
| 476 | IF( ln_bt_fw ) THEN |
|---|
| 477 | DO jj = 2, jpjm1 |
|---|
| 478 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 479 | ikbu = mbku(ji,jj) |
|---|
| 480 | ikbv = mbkv(ji,jj) |
|---|
| 481 | zwx(ji,jj) = un(ji,jj,ikbu) - un_b(ji,jj) ! NOW bottom baroclinic velocities |
|---|
| 482 | zwy(ji,jj) = vn(ji,jj,ikbv) - vn_b(ji,jj) |
|---|
| 483 | END DO |
|---|
| 484 | END DO |
|---|
| 485 | ELSE |
|---|
| 486 | DO jj = 2, jpjm1 |
|---|
| 487 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 488 | ikbu = mbku(ji,jj) |
|---|
| 489 | ikbv = mbkv(ji,jj) |
|---|
| 490 | zwx(ji,jj) = ub(ji,jj,ikbu) - ub_b(ji,jj) ! BEFORE bottom baroclinic velocities |
|---|
| 491 | zwy(ji,jj) = vb(ji,jj,ikbv) - vb_b(ji,jj) |
|---|
| 492 | END DO |
|---|
| 493 | END DO |
|---|
| 494 | ENDIF |
|---|
| 495 | ! |
|---|
| 496 | ! Note that the "unclipped" bottom friction parameter is used even with explicit drag |
|---|
| 497 | IF( ln_wd ) THEN |
|---|
| 498 | zztmp = - 1._wp / rdtbt |
|---|
| 499 | DO jj = 2, jpjm1 |
|---|
| 500 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 501 | zu_frc(ji,jj) = zu_frc(ji,jj) + MAX( r1_hu_n(ji,jj) * 0.5*( rCdU_bot(ji+1,jj)+rCdU_bot(ji,jj) ) , zztmp ) * zwx(ji,jj) |
|---|
| 502 | zv_frc(ji,jj) = zv_frc(ji,jj) + MAX( r1_hv_n(ji,jj) * 0.5*( rCdU_bot(ji,jj+1)+rCdU_bot(ji,jj) ) , zztmp ) * zwy(ji,jj) |
|---|
| 503 | END DO |
|---|
| 504 | END DO |
|---|
| 505 | ELSE |
|---|
| 506 | DO jj = 2, jpjm1 |
|---|
| 507 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 508 | zu_frc(ji,jj) = zu_frc(ji,jj) + r1_hu_n(ji,jj) * 0.5*( rCdU_bot(ji+1,jj)+rCdU_bot(ji,jj) ) * zwx(ji,jj) |
|---|
| 509 | zv_frc(ji,jj) = zv_frc(ji,jj) + r1_hv_n(ji,jj) * 0.5*( rCdU_bot(ji,jj+1)+rCdU_bot(ji,jj) ) * zwy(ji,jj) |
|---|
| 510 | END DO |
|---|
| 511 | END DO |
|---|
| 512 | END IF |
|---|
| 513 | ! |
|---|
| 514 | IF( ln_isfcav ) THEN ! Add TOP stress contribution from baroclinic velocities: |
|---|
| 515 | IF( ln_bt_fw ) THEN |
|---|
| 516 | DO jj = 2, jpjm1 |
|---|
| 517 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 518 | iktu = miku(ji,jj) |
|---|
| 519 | iktv = mikv(ji,jj) |
|---|
| 520 | zwx(ji,jj) = un(ji,jj,iktu) - un_b(ji,jj) ! NOW top baroclinic velocities |
|---|
| 521 | zwy(ji,jj) = vn(ji,jj,iktv) - vn_b(ji,jj) |
|---|
| 522 | END DO |
|---|
| 523 | END DO |
|---|
| 524 | ELSE |
|---|
| 525 | DO jj = 2, jpjm1 |
|---|
| 526 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 527 | iktu = miku(ji,jj) |
|---|
| 528 | iktv = mikv(ji,jj) |
|---|
| 529 | zwx(ji,jj) = ub(ji,jj,iktu) - ub_b(ji,jj) ! BEFORE top baroclinic velocities |
|---|
| 530 | zwy(ji,jj) = vb(ji,jj,iktv) - vb_b(ji,jj) |
|---|
| 531 | END DO |
|---|
| 532 | END DO |
|---|
| 533 | ENDIF |
|---|
| 534 | ! |
|---|
| 535 | ! Note that the "unclipped" top friction parameter is used even with explicit drag |
|---|
| 536 | DO jj = 2, jpjm1 |
|---|
| 537 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 538 | zu_frc(ji,jj) = zu_frc(ji,jj) + r1_hu_n(ji,jj) * 0.5*( rCdU_top(ji+1,jj)+rCdU_top(ji,jj) ) * zwx(ji,jj) |
|---|
| 539 | zv_frc(ji,jj) = zv_frc(ji,jj) + r1_hv_n(ji,jj) * 0.5*( rCdU_top(ji,jj+1)+rCdU_top(ji,jj) ) * zwy(ji,jj) |
|---|
| 540 | END DO |
|---|
| 541 | END DO |
|---|
| 542 | ENDIF |
|---|
| 543 | ! |
|---|
| 544 | IF( ln_bt_fw ) THEN ! Add wind forcing |
|---|
| 545 | DO jj = 2, jpjm1 |
|---|
| 546 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 547 | zu_frc(ji,jj) = zu_frc(ji,jj) + r1_rau0 * utau(ji,jj) * r1_hu_n(ji,jj) |
|---|
| 548 | zv_frc(ji,jj) = zv_frc(ji,jj) + r1_rau0 * vtau(ji,jj) * r1_hv_n(ji,jj) |
|---|
| 549 | END DO |
|---|
| 550 | END DO |
|---|
| 551 | ELSE |
|---|
| 552 | zztmp = r1_rau0 * r1_2 |
|---|
| 553 | DO jj = 2, jpjm1 |
|---|
| 554 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 555 | zu_frc(ji,jj) = zu_frc(ji,jj) + zztmp * ( utau_b(ji,jj) + utau(ji,jj) ) * r1_hu_n(ji,jj) |
|---|
| 556 | zv_frc(ji,jj) = zv_frc(ji,jj) + zztmp * ( vtau_b(ji,jj) + vtau(ji,jj) ) * r1_hv_n(ji,jj) |
|---|
| 557 | END DO |
|---|
| 558 | END DO |
|---|
| 559 | ENDIF |
|---|
| 560 | ! |
|---|
| 561 | IF( ln_apr_dyn ) THEN ! Add atm pressure forcing |
|---|
| 562 | IF( ln_bt_fw ) THEN |
|---|
| 563 | DO jj = 2, jpjm1 |
|---|
| 564 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 565 | zu_spg = grav * ( ssh_ib (ji+1,jj ) - ssh_ib (ji,jj) ) * r1_e1u(ji,jj) |
|---|
| 566 | zv_spg = grav * ( ssh_ib (ji ,jj+1) - ssh_ib (ji,jj) ) * r1_e2v(ji,jj) |
|---|
| 567 | zu_frc(ji,jj) = zu_frc(ji,jj) + zu_spg |
|---|
| 568 | zv_frc(ji,jj) = zv_frc(ji,jj) + zv_spg |
|---|
| 569 | END DO |
|---|
| 570 | END DO |
|---|
| 571 | ELSE |
|---|
| 572 | zztmp = grav * r1_2 |
|---|
| 573 | DO jj = 2, jpjm1 |
|---|
| 574 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 575 | zu_spg = zztmp * ( ssh_ib (ji+1,jj ) - ssh_ib (ji,jj) & |
|---|
| 576 | & + ssh_ibb(ji+1,jj ) - ssh_ibb(ji,jj) ) * r1_e1u(ji,jj) |
|---|
| 577 | zv_spg = zztmp * ( ssh_ib (ji ,jj+1) - ssh_ib (ji,jj) & |
|---|
| 578 | & + ssh_ibb(ji ,jj+1) - ssh_ibb(ji,jj) ) * r1_e2v(ji,jj) |
|---|
| 579 | zu_frc(ji,jj) = zu_frc(ji,jj) + zu_spg |
|---|
| 580 | zv_frc(ji,jj) = zv_frc(ji,jj) + zv_spg |
|---|
| 581 | END DO |
|---|
| 582 | END DO |
|---|
| 583 | ENDIF |
|---|
| 584 | ENDIF |
|---|
| 585 | ! !* Right-Hand-Side of the barotropic ssh equation |
|---|
| 586 | ! ! ----------------------------------------------- |
|---|
| 587 | ! ! Surface net water flux and rivers |
|---|
| 588 | IF (ln_bt_fw) THEN |
|---|
| 589 | zssh_frc(:,:) = r1_rau0 * ( emp(:,:) - rnf(:,:) + fwfisf(:,:) ) |
|---|
| 590 | ELSE |
|---|
| 591 | zztmp = r1_rau0 * r1_2 |
|---|
| 592 | zssh_frc(:,:) = zztmp * ( emp(:,:) + emp_b(:,:) - rnf(:,:) - rnf_b(:,:) & |
|---|
| 593 | & + fwfisf(:,:) + fwfisf_b(:,:) ) |
|---|
| 594 | ENDIF |
|---|
| 595 | ! |
|---|
| 596 | IF( ln_sdw ) THEN ! Stokes drift divergence added if necessary |
|---|
| 597 | zssh_frc(:,:) = zssh_frc(:,:) + div_sd(:,:) |
|---|
| 598 | ENDIF |
|---|
| 599 | ! |
|---|
| 600 | #if defined key_asminc |
|---|
| 601 | ! ! Include the IAU weighted SSH increment |
|---|
| 602 | IF( lk_asminc .AND. ln_sshinc .AND. ln_asmiau ) THEN |
|---|
| 603 | zssh_frc(:,:) = zssh_frc(:,:) - ssh_iau(:,:) |
|---|
| 604 | ENDIF |
|---|
| 605 | #endif |
|---|
| 606 | ! !* Fill boundary data arrays for AGRIF |
|---|
| 607 | ! ! ------------------------------------ |
|---|
| 608 | #if defined key_agrif |
|---|
| 609 | IF( .NOT.Agrif_Root() ) CALL agrif_dta_ts( kt ) |
|---|
| 610 | #endif |
|---|
| 611 | ! |
|---|
| 612 | ! ----------------------------------------------------------------------- |
|---|
| 613 | ! Phase 2 : Integration of the barotropic equations |
|---|
| 614 | ! ----------------------------------------------------------------------- |
|---|
| 615 | ! |
|---|
| 616 | ! ! ==================== ! |
|---|
| 617 | ! ! Initialisations ! |
|---|
| 618 | ! ! ==================== ! |
|---|
| 619 | ! Initialize barotropic variables: |
|---|
| 620 | IF( ll_init )THEN |
|---|
| 621 | sshbb_e(:,:) = 0._wp |
|---|
| 622 | ubb_e (:,:) = 0._wp |
|---|
| 623 | vbb_e (:,:) = 0._wp |
|---|
| 624 | sshb_e (:,:) = 0._wp |
|---|
| 625 | ub_e (:,:) = 0._wp |
|---|
| 626 | vb_e (:,:) = 0._wp |
|---|
| 627 | ENDIF |
|---|
| 628 | |
|---|
| 629 | ! |
|---|
| 630 | IF (ln_bt_fw) THEN ! FORWARD integration: start from NOW fields |
|---|
| 631 | sshn_e(:,:) = sshn(:,:) |
|---|
| 632 | un_e (:,:) = un_b(:,:) |
|---|
| 633 | vn_e (:,:) = vn_b(:,:) |
|---|
| 634 | ! |
|---|
| 635 | hu_e (:,:) = hu_n(:,:) |
|---|
| 636 | hv_e (:,:) = hv_n(:,:) |
|---|
| 637 | hur_e (:,:) = r1_hu_n(:,:) |
|---|
| 638 | hvr_e (:,:) = r1_hv_n(:,:) |
|---|
| 639 | ELSE ! CENTRED integration: start from BEFORE fields |
|---|
| 640 | sshn_e(:,:) = sshb(:,:) |
|---|
| 641 | un_e (:,:) = ub_b(:,:) |
|---|
| 642 | vn_e (:,:) = vb_b(:,:) |
|---|
| 643 | ! |
|---|
| 644 | hu_e (:,:) = hu_b(:,:) |
|---|
| 645 | hv_e (:,:) = hv_b(:,:) |
|---|
| 646 | hur_e (:,:) = r1_hu_b(:,:) |
|---|
| 647 | hvr_e (:,:) = r1_hv_b(:,:) |
|---|
| 648 | ENDIF |
|---|
| 649 | ! |
|---|
| 650 | ! |
|---|
| 651 | ! |
|---|
| 652 | ! Initialize sums: |
|---|
| 653 | ua_b (:,:) = 0._wp ! After barotropic velocities (or transport if flux form) |
|---|
| 654 | va_b (:,:) = 0._wp |
|---|
| 655 | ssha (:,:) = 0._wp ! Sum for after averaged sea level |
|---|
| 656 | un_adv(:,:) = 0._wp ! Sum for now transport issued from ts loop |
|---|
| 657 | vn_adv(:,:) = 0._wp |
|---|
| 658 | ! ! ==================== ! |
|---|
| 659 | DO jn = 1, icycle ! sub-time-step loop ! |
|---|
| 660 | ! ! ==================== ! |
|---|
| 661 | ! !* Update the forcing (BDY and tides) |
|---|
| 662 | ! ! ------------------ |
|---|
| 663 | ! Update only tidal forcing at open boundaries |
|---|
| 664 | IF( ln_bdy .AND. ln_tide ) CALL bdy_dta_tides( kt, kit=jn, time_offset= noffset+1 ) |
|---|
| 665 | IF( ln_tide_pot .AND. ln_tide ) CALL upd_tide ( kt, kit=jn, time_offset= noffset ) |
|---|
| 666 | ! |
|---|
| 667 | ! Set extrapolation coefficients for predictor step: |
|---|
| 668 | IF ((jn<3).AND.ll_init) THEN ! Forward |
|---|
| 669 | za1 = 1._wp |
|---|
| 670 | za2 = 0._wp |
|---|
| 671 | za3 = 0._wp |
|---|
| 672 | ELSE ! AB3-AM4 Coefficients: bet=0.281105 |
|---|
| 673 | za1 = 1.781105_wp ! za1 = 3/2 + bet |
|---|
| 674 | za2 = -1.06221_wp ! za2 = -(1/2 + 2*bet) |
|---|
| 675 | za3 = 0.281105_wp ! za3 = bet |
|---|
| 676 | ENDIF |
|---|
| 677 | |
|---|
| 678 | ! Extrapolate barotropic velocities at step jit+0.5: |
|---|
| 679 | ua_e(:,:) = za1 * un_e(:,:) + za2 * ub_e(:,:) + za3 * ubb_e(:,:) |
|---|
| 680 | va_e(:,:) = za1 * vn_e(:,:) + za2 * vb_e(:,:) + za3 * vbb_e(:,:) |
|---|
| 681 | |
|---|
| 682 | IF( .NOT.ln_linssh ) THEN !* Update ocean depth (variable volume case only) |
|---|
| 683 | ! ! ------------------ |
|---|
| 684 | ! Extrapolate Sea Level at step jit+0.5: |
|---|
| 685 | zsshp2_e(:,:) = za1 * sshn_e(:,:) + za2 * sshb_e(:,:) + za3 * sshbb_e(:,:) |
|---|
| 686 | ! |
|---|
| 687 | DO jj = 2, jpjm1 ! Sea Surface Height at u- & v-points |
|---|
| 688 | DO ji = 2, fs_jpim1 ! Vector opt. |
|---|
| 689 | zwx(ji,jj) = r1_2 * ssumask(ji,jj) * r1_e1e2u(ji,jj) & |
|---|
| 690 | & * ( e1e2t(ji ,jj) * zsshp2_e(ji ,jj) & |
|---|
| 691 | & + e1e2t(ji+1,jj) * zsshp2_e(ji+1,jj) ) |
|---|
| 692 | zwy(ji,jj) = r1_2 * ssvmask(ji,jj) * r1_e1e2v(ji,jj) & |
|---|
| 693 | & * ( e1e2t(ji,jj ) * zsshp2_e(ji,jj ) & |
|---|
| 694 | & + e1e2t(ji,jj+1) * zsshp2_e(ji,jj+1) ) |
|---|
| 695 | END DO |
|---|
| 696 | END DO |
|---|
| 697 | CALL lbc_lnk_multi( zwx, 'U', 1._wp, zwy, 'V', 1._wp ) |
|---|
| 698 | ! |
|---|
| 699 | zhup2_e (:,:) = hu_0(:,:) + zwx(:,:) ! Ocean depth at U- and V-points |
|---|
| 700 | zhvp2_e (:,:) = hv_0(:,:) + zwy(:,:) |
|---|
| 701 | ELSE |
|---|
| 702 | zhup2_e (:,:) = hu_n(:,:) |
|---|
| 703 | zhvp2_e (:,:) = hv_n(:,:) |
|---|
| 704 | ENDIF |
|---|
| 705 | ! !* after ssh |
|---|
| 706 | ! ! ----------- |
|---|
| 707 | ! One should enforce volume conservation at open boundaries here |
|---|
| 708 | ! considering fluxes below: |
|---|
| 709 | ! |
|---|
| 710 | zwx(:,:) = e2u(:,:) * ua_e(:,:) * zhup2_e(:,:) ! fluxes at jn+0.5 |
|---|
| 711 | zwy(:,:) = e1v(:,:) * va_e(:,:) * zhvp2_e(:,:) |
|---|
| 712 | ! |
|---|
| 713 | #if defined key_agrif |
|---|
| 714 | ! Set fluxes during predictor step to ensure volume conservation |
|---|
| 715 | IF( .NOT.Agrif_Root() .AND. ln_bt_fw ) THEN |
|---|
| 716 | IF((nbondi == -1).OR.(nbondi == 2)) THEN |
|---|
| 717 | DO jj=1,jpj |
|---|
| 718 | zwx(2,jj) = ubdy_w(jj) * e2u(2,jj) |
|---|
| 719 | END DO |
|---|
| 720 | ENDIF |
|---|
| 721 | IF((nbondi == 1).OR.(nbondi == 2)) THEN |
|---|
| 722 | DO jj=1,jpj |
|---|
| 723 | zwx(nlci-2,jj) = ubdy_e(jj) * e2u(nlci-2,jj) |
|---|
| 724 | END DO |
|---|
| 725 | ENDIF |
|---|
| 726 | IF((nbondj == -1).OR.(nbondj == 2)) THEN |
|---|
| 727 | DO ji=1,jpi |
|---|
| 728 | zwy(ji,2) = vbdy_s(ji) * e1v(ji,2) |
|---|
| 729 | END DO |
|---|
| 730 | ENDIF |
|---|
| 731 | IF((nbondj == 1).OR.(nbondj == 2)) THEN |
|---|
| 732 | DO ji=1,jpi |
|---|
| 733 | zwy(ji,nlcj-2) = vbdy_n(ji) * e1v(ji,nlcj-2) |
|---|
| 734 | END DO |
|---|
| 735 | ENDIF |
|---|
| 736 | ENDIF |
|---|
| 737 | #endif |
|---|
| 738 | IF( ln_wd ) CALL wad_lmt_bt(zwx, zwy, sshn_e, zssh_frc, rdtbt) |
|---|
| 739 | ! |
|---|
| 740 | ! Sum over sub-time-steps to compute advective velocities |
|---|
| 741 | za2 = wgtbtp2(jn) |
|---|
| 742 | un_adv(:,:) = un_adv(:,:) + za2 * zwx(:,:) * r1_e2u(:,:) |
|---|
| 743 | vn_adv(:,:) = vn_adv(:,:) + za2 * zwy(:,:) * r1_e1v(:,:) |
|---|
| 744 | ! |
|---|
| 745 | ! Set next sea level: |
|---|
| 746 | DO jj = 2, jpjm1 |
|---|
| 747 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 748 | zhdiv(ji,jj) = ( zwx(ji,jj) - zwx(ji-1,jj) & |
|---|
| 749 | & + zwy(ji,jj) - zwy(ji,jj-1) ) * r1_e1e2t(ji,jj) |
|---|
| 750 | END DO |
|---|
| 751 | END DO |
|---|
| 752 | ssha_e(:,:) = ( sshn_e(:,:) - rdtbt * ( zssh_frc(:,:) + zhdiv(:,:) ) ) * ssmask(:,:) |
|---|
| 753 | |
|---|
| 754 | CALL lbc_lnk( ssha_e, 'T', 1._wp ) |
|---|
| 755 | |
|---|
| 756 | ! Duplicate sea level across open boundaries (this is only cosmetic if linssh=T) |
|---|
| 757 | IF( ln_bdy ) CALL bdy_ssh( ssha_e ) |
|---|
| 758 | #if defined key_agrif |
|---|
| 759 | IF( .NOT.Agrif_Root() ) CALL agrif_ssh_ts( jn ) |
|---|
| 760 | #endif |
|---|
| 761 | ! |
|---|
| 762 | ! Sea Surface Height at u-,v-points (vvl case only) |
|---|
| 763 | IF( .NOT.ln_linssh ) THEN |
|---|
| 764 | DO jj = 2, jpjm1 |
|---|
| 765 | DO ji = 2, jpim1 ! NO Vector Opt. |
|---|
| 766 | zsshu_a(ji,jj) = r1_2 * ssumask(ji,jj) * r1_e1e2u(ji,jj) & |
|---|
| 767 | & * ( e1e2t(ji ,jj ) * ssha_e(ji ,jj ) & |
|---|
| 768 | & + e1e2t(ji+1,jj ) * ssha_e(ji+1,jj ) ) |
|---|
| 769 | zsshv_a(ji,jj) = r1_2 * ssvmask(ji,jj) * r1_e1e2v(ji,jj) & |
|---|
| 770 | & * ( e1e2t(ji ,jj ) * ssha_e(ji ,jj ) & |
|---|
| 771 | & + e1e2t(ji ,jj+1) * ssha_e(ji ,jj+1) ) |
|---|
| 772 | END DO |
|---|
| 773 | END DO |
|---|
| 774 | CALL lbc_lnk_multi( zsshu_a, 'U', 1._wp, zsshv_a, 'V', 1._wp ) |
|---|
| 775 | ENDIF |
|---|
| 776 | ! |
|---|
| 777 | ! Half-step back interpolation of SSH for surface pressure computation: |
|---|
| 778 | !---------------------------------------------------------------------- |
|---|
| 779 | IF ((jn==1).AND.ll_init) THEN |
|---|
| 780 | za0=1._wp ! Forward-backward |
|---|
| 781 | za1=0._wp |
|---|
| 782 | za2=0._wp |
|---|
| 783 | za3=0._wp |
|---|
| 784 | ELSEIF ((jn==2).AND.ll_init) THEN ! AB2-AM3 Coefficients; bet=0 ; gam=-1/6 ; eps=1/12 |
|---|
| 785 | za0= 1.0833333333333_wp ! za0 = 1-gam-eps |
|---|
| 786 | za1=-0.1666666666666_wp ! za1 = gam |
|---|
| 787 | za2= 0.0833333333333_wp ! za2 = eps |
|---|
| 788 | za3= 0._wp |
|---|
| 789 | ELSE ! AB3-AM4 Coefficients; bet=0.281105 ; eps=0.013 ; gam=0.0880 |
|---|
| 790 | za0=0.614_wp ! za0 = 1/2 + gam + 2*eps |
|---|
| 791 | za1=0.285_wp ! za1 = 1/2 - 2*gam - 3*eps |
|---|
| 792 | za2=0.088_wp ! za2 = gam |
|---|
| 793 | za3=0.013_wp ! za3 = eps |
|---|
| 794 | ENDIF |
|---|
| 795 | ! |
|---|
| 796 | zsshp2_e(:,:) = za0 * ssha_e(:,:) + za1 * sshn_e (:,:) & |
|---|
| 797 | & + za2 * sshb_e(:,:) + za3 * sshbb_e(:,:) |
|---|
| 798 | IF( ln_wd ) THEN ! Calculating and applying W/D gravity filters |
|---|
| 799 | DO jj = 2, jpjm1 |
|---|
| 800 | DO ji = 2, jpim1 |
|---|
| 801 | ll_tmp1 = MIN( zsshp2_e(ji,jj) , zsshp2_e(ji+1,jj) ) > & |
|---|
| 802 | & MAX( -ht_wd(ji,jj) , -ht_wd(ji+1,jj) ) .AND. & |
|---|
| 803 | & MAX( zsshp2_e(ji,jj) + ht_wd(ji,jj), zsshp2_e(ji+1,jj) + ht_wd(ji+1,jj) ) & |
|---|
| 804 | & > rn_wdmin1 + rn_wdmin2 |
|---|
| 805 | ll_tmp2 = (ABS(zsshp2_e(ji,jj) - zsshp2_e(ji+1,jj)) > 1.E-12 ).AND.( & |
|---|
| 806 | & MAX( zsshp2_e(ji,jj) , zsshp2_e(ji+1,jj) ) > & |
|---|
| 807 | & MAX( -ht_wd(ji,jj) , -ht_wd(ji+1,jj) ) + rn_wdmin1 + rn_wdmin2 ) |
|---|
| 808 | |
|---|
| 809 | IF(ll_tmp1) THEN |
|---|
| 810 | zcpx(ji,jj) = 1.0_wp |
|---|
| 811 | ELSE IF(ll_tmp2) THEN |
|---|
| 812 | ! no worries about zsshp2_e(ji+1,jj) - zsshp2_e(ji ,jj) = 0, it won't happen ! here |
|---|
| 813 | zcpx(ji,jj) = ABS( (zsshp2_e(ji+1,jj) + ht_wd(ji+1,jj) - zsshp2_e(ji,jj) - ht_wd(ji,jj)) & |
|---|
| 814 | & / (zsshp2_e(ji+1,jj) - zsshp2_e(ji ,jj)) ) |
|---|
| 815 | ELSE |
|---|
| 816 | zcpx(ji,jj) = 0._wp |
|---|
| 817 | END IF |
|---|
| 818 | |
|---|
| 819 | ll_tmp1 = MIN( zsshp2_e(ji,jj) , zsshp2_e(ji,jj+1) ) > & |
|---|
| 820 | & MAX( -ht_wd(ji,jj) , -ht_wd(ji,jj+1) ) .AND. & |
|---|
| 821 | & MAX( zsshp2_e(ji,jj) + ht_wd(ji,jj), zsshp2_e(ji,jj+1) + ht_wd(ji,jj+1) ) & |
|---|
| 822 | & > rn_wdmin1 + rn_wdmin2 |
|---|
| 823 | ll_tmp2 = (ABS(zsshp2_e(ji,jj) - zsshp2_e(ji,jj+1)) > 1.E-12 ).AND.( & |
|---|
| 824 | & MAX( zsshp2_e(ji,jj) , zsshp2_e(ji,jj+1) ) > & |
|---|
| 825 | & MAX( -ht_wd(ji,jj) , -ht_wd(ji,jj+1) ) + rn_wdmin1 + rn_wdmin2 ) |
|---|
| 826 | |
|---|
| 827 | IF(ll_tmp1) THEN |
|---|
| 828 | zcpy(ji,jj) = 1.0_wp |
|---|
| 829 | ELSE IF(ll_tmp2) THEN |
|---|
| 830 | ! no worries about zsshp2_e(ji,jj+1) - zsshp2_e(ji,jj ) = 0, it won't happen ! here |
|---|
| 831 | zcpy(ji,jj) = ABS( (zsshp2_e(ji,jj+1) + ht_wd(ji,jj+1) - zsshp2_e(ji,jj) - ht_wd(ji,jj)) & |
|---|
| 832 | & / (zsshp2_e(ji,jj+1) - zsshp2_e(ji,jj )) ) |
|---|
| 833 | ELSE |
|---|
| 834 | zcpy(ji,jj) = 0._wp |
|---|
| 835 | END IF |
|---|
| 836 | END DO |
|---|
| 837 | END DO |
|---|
| 838 | END IF |
|---|
| 839 | ! |
|---|
| 840 | ! Compute associated depths at U and V points: |
|---|
| 841 | IF( .NOT.ln_linssh .AND. .NOT.ln_dynadv_vec ) THEN !* Vector form |
|---|
| 842 | ! |
|---|
| 843 | DO jj = 2, jpjm1 |
|---|
| 844 | DO ji = 2, jpim1 |
|---|
| 845 | zx1 = r1_2 * ssumask(ji ,jj) * r1_e1e2u(ji ,jj) & |
|---|
| 846 | & * ( e1e2t(ji ,jj ) * zsshp2_e(ji ,jj) & |
|---|
| 847 | & + e1e2t(ji+1,jj ) * zsshp2_e(ji+1,jj ) ) |
|---|
| 848 | zy1 = r1_2 * ssvmask(ji ,jj) * r1_e1e2v(ji ,jj ) & |
|---|
| 849 | & * ( e1e2t(ji ,jj ) * zsshp2_e(ji ,jj ) & |
|---|
| 850 | & + e1e2t(ji ,jj+1) * zsshp2_e(ji ,jj+1) ) |
|---|
| 851 | zhust_e(ji,jj) = hu_0(ji,jj) + zx1 |
|---|
| 852 | zhvst_e(ji,jj) = hv_0(ji,jj) + zy1 |
|---|
| 853 | END DO |
|---|
| 854 | END DO |
|---|
| 855 | |
|---|
| 856 | ENDIF |
|---|
| 857 | ! |
|---|
| 858 | ! Add Coriolis trend: |
|---|
| 859 | ! zwz array below or triads normally depend on sea level with ln_linssh=F and should be updated |
|---|
| 860 | ! at each time step. We however keep them constant here for optimization. |
|---|
| 861 | ! Recall that zwx and zwy arrays hold fluxes at this stage: |
|---|
| 862 | ! zwx(:,:) = e2u(:,:) * ua_e(:,:) * zhup2_e(:,:) ! fluxes at jn+0.5 |
|---|
| 863 | ! zwy(:,:) = e1v(:,:) * va_e(:,:) * zhvp2_e(:,:) |
|---|
| 864 | ! |
|---|
| 865 | IF( ln_dynvor_ene .OR. ln_dynvor_mix ) THEN !== energy conserving or mixed scheme ==! |
|---|
| 866 | DO jj = 2, jpjm1 |
|---|
| 867 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 868 | zy1 = ( zwy(ji ,jj-1) + zwy(ji+1,jj-1) ) * r1_e1u(ji,jj) |
|---|
| 869 | zy2 = ( zwy(ji ,jj ) + zwy(ji+1,jj ) ) * r1_e1u(ji,jj) |
|---|
| 870 | zx1 = ( zwx(ji-1,jj ) + zwx(ji-1,jj+1) ) * r1_e2v(ji,jj) |
|---|
| 871 | zx2 = ( zwx(ji ,jj ) + zwx(ji ,jj+1) ) * r1_e2v(ji,jj) |
|---|
| 872 | zu_trd(ji,jj) = r1_4 * ( zwz(ji ,jj-1) * zy1 + zwz(ji,jj) * zy2 ) |
|---|
| 873 | zv_trd(ji,jj) =-r1_4 * ( zwz(ji-1,jj ) * zx1 + zwz(ji,jj) * zx2 ) |
|---|
| 874 | END DO |
|---|
| 875 | END DO |
|---|
| 876 | ! |
|---|
| 877 | ELSEIF ( ln_dynvor_ens ) THEN !== enstrophy conserving scheme ==! |
|---|
| 878 | DO jj = 2, jpjm1 |
|---|
| 879 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 880 | zy1 = r1_8 * ( zwy(ji ,jj-1) + zwy(ji+1,jj-1) & |
|---|
| 881 | & + zwy(ji ,jj ) + zwy(ji+1,jj ) ) * r1_e1u(ji,jj) |
|---|
| 882 | zx1 = - r1_8 * ( zwx(ji-1,jj ) + zwx(ji-1,jj+1) & |
|---|
| 883 | & + zwx(ji ,jj ) + zwx(ji ,jj+1) ) * r1_e2v(ji,jj) |
|---|
| 884 | zu_trd(ji,jj) = zy1 * ( zwz(ji ,jj-1) + zwz(ji,jj) ) |
|---|
| 885 | zv_trd(ji,jj) = zx1 * ( zwz(ji-1,jj ) + zwz(ji,jj) ) |
|---|
| 886 | END DO |
|---|
| 887 | END DO |
|---|
| 888 | ! |
|---|
| 889 | ELSEIF ( ln_dynvor_een ) THEN !== energy and enstrophy conserving scheme ==! |
|---|
| 890 | DO jj = 2, jpjm1 |
|---|
| 891 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 892 | zu_trd(ji,jj) = + r1_12 * r1_e1u(ji,jj) * ( ftne(ji,jj ) * zwy(ji ,jj ) & |
|---|
| 893 | & + ftnw(ji+1,jj) * zwy(ji+1,jj ) & |
|---|
| 894 | & + ftse(ji,jj ) * zwy(ji ,jj-1) & |
|---|
| 895 | & + ftsw(ji+1,jj) * zwy(ji+1,jj-1) ) |
|---|
| 896 | zv_trd(ji,jj) = - r1_12 * r1_e2v(ji,jj) * ( ftsw(ji,jj+1) * zwx(ji-1,jj+1) & |
|---|
| 897 | & + ftse(ji,jj+1) * zwx(ji ,jj+1) & |
|---|
| 898 | & + ftnw(ji,jj ) * zwx(ji-1,jj ) & |
|---|
| 899 | & + ftne(ji,jj ) * zwx(ji ,jj ) ) |
|---|
| 900 | END DO |
|---|
| 901 | END DO |
|---|
| 902 | ! |
|---|
| 903 | ENDIF |
|---|
| 904 | ! |
|---|
| 905 | ! Add tidal astronomical forcing if defined |
|---|
| 906 | IF ( ln_tide .AND. ln_tide_pot ) THEN |
|---|
| 907 | DO jj = 2, jpjm1 |
|---|
| 908 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 909 | zu_spg = grav * ( pot_astro(ji+1,jj) - pot_astro(ji,jj) ) * r1_e1u(ji,jj) |
|---|
| 910 | zv_spg = grav * ( pot_astro(ji,jj+1) - pot_astro(ji,jj) ) * r1_e2v(ji,jj) |
|---|
| 911 | zu_trd(ji,jj) = zu_trd(ji,jj) + zu_spg |
|---|
| 912 | zv_trd(ji,jj) = zv_trd(ji,jj) + zv_spg |
|---|
| 913 | END DO |
|---|
| 914 | END DO |
|---|
| 915 | ENDIF |
|---|
| 916 | ! |
|---|
| 917 | DO jj = 2, jpjm1 |
|---|
| 918 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 919 | ! Add top/bottom stresses: |
|---|
| 920 | !!gm old/new |
|---|
| 921 | zu_trd(ji,jj) = zu_trd(ji,jj) + zCdU_u(ji,jj) * un_e(ji,jj) * hur_e(ji,jj) |
|---|
| 922 | zv_trd(ji,jj) = zv_trd(ji,jj) + zCdU_v(ji,jj) * vn_e(ji,jj) * hvr_e(ji,jj) |
|---|
| 923 | !!gm |
|---|
| 924 | END DO |
|---|
| 925 | END DO |
|---|
| 926 | ! |
|---|
| 927 | ! Surface pressure trend: |
|---|
| 928 | |
|---|
| 929 | IF( ln_wd ) THEN |
|---|
| 930 | DO jj = 2, jpjm1 |
|---|
| 931 | DO ji = 2, jpim1 |
|---|
| 932 | ! Add surface pressure gradient |
|---|
| 933 | zu_spg = - grav * ( zsshp2_e(ji+1,jj) - zsshp2_e(ji,jj) ) * r1_e1u(ji,jj) |
|---|
| 934 | zv_spg = - grav * ( zsshp2_e(ji,jj+1) - zsshp2_e(ji,jj) ) * r1_e2v(ji,jj) |
|---|
| 935 | zwx(ji,jj) = zu_spg * zcpx(ji,jj) |
|---|
| 936 | zwy(ji,jj) = zv_spg * zcpy(ji,jj) |
|---|
| 937 | END DO |
|---|
| 938 | END DO |
|---|
| 939 | ELSE |
|---|
| 940 | DO jj = 2, jpjm1 |
|---|
| 941 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 942 | ! Add surface pressure gradient |
|---|
| 943 | zu_spg = - grav * ( zsshp2_e(ji+1,jj) - zsshp2_e(ji,jj) ) * r1_e1u(ji,jj) |
|---|
| 944 | zv_spg = - grav * ( zsshp2_e(ji,jj+1) - zsshp2_e(ji,jj) ) * r1_e2v(ji,jj) |
|---|
| 945 | zwx(ji,jj) = zu_spg |
|---|
| 946 | zwy(ji,jj) = zv_spg |
|---|
| 947 | END DO |
|---|
| 948 | END DO |
|---|
| 949 | END IF |
|---|
| 950 | |
|---|
| 951 | ! |
|---|
| 952 | ! Set next velocities: |
|---|
| 953 | IF( ln_dynadv_vec .OR. ln_linssh ) THEN !* Vector form |
|---|
| 954 | DO jj = 2, jpjm1 |
|---|
| 955 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 956 | ua_e(ji,jj) = ( un_e(ji,jj) & |
|---|
| 957 | & + rdtbt * ( zwx(ji,jj) & |
|---|
| 958 | & + zu_trd(ji,jj) & |
|---|
| 959 | & + zu_frc(ji,jj) ) & |
|---|
| 960 | & ) * ssumask(ji,jj) |
|---|
| 961 | |
|---|
| 962 | va_e(ji,jj) = ( vn_e(ji,jj) & |
|---|
| 963 | & + rdtbt * ( zwy(ji,jj) & |
|---|
| 964 | & + zv_trd(ji,jj) & |
|---|
| 965 | & + zv_frc(ji,jj) ) & |
|---|
| 966 | & ) * ssvmask(ji,jj) |
|---|
| 967 | END DO |
|---|
| 968 | END DO |
|---|
| 969 | ! |
|---|
| 970 | ELSE !* Flux form |
|---|
| 971 | DO jj = 2, jpjm1 |
|---|
| 972 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 973 | |
|---|
| 974 | IF( ln_wd ) THEN |
|---|
| 975 | zhura = MAX(hu_0(ji,jj) + zsshu_a(ji,jj), rn_wdmin1) |
|---|
| 976 | zhvra = MAX(hv_0(ji,jj) + zsshv_a(ji,jj), rn_wdmin1) |
|---|
| 977 | ELSE |
|---|
| 978 | zhura = hu_0(ji,jj) + zsshu_a(ji,jj) |
|---|
| 979 | zhvra = hv_0(ji,jj) + zsshv_a(ji,jj) |
|---|
| 980 | END IF |
|---|
| 981 | zhura = ssumask(ji,jj)/(zhura + 1._wp - ssumask(ji,jj)) |
|---|
| 982 | zhvra = ssvmask(ji,jj)/(zhvra + 1._wp - ssvmask(ji,jj)) |
|---|
| 983 | |
|---|
| 984 | ua_e(ji,jj) = ( hu_e(ji,jj) * un_e(ji,jj) & |
|---|
| 985 | & + rdtbt * ( zhust_e(ji,jj) * zwx(ji,jj) & |
|---|
| 986 | & + zhup2_e(ji,jj) * zu_trd(ji,jj) & |
|---|
| 987 | & + hu_n(ji,jj) * zu_frc(ji,jj) ) & |
|---|
| 988 | & ) * zhura |
|---|
| 989 | |
|---|
| 990 | va_e(ji,jj) = ( hv_e(ji,jj) * vn_e(ji,jj) & |
|---|
| 991 | & + rdtbt * ( zhvst_e(ji,jj) * zwy(ji,jj) & |
|---|
| 992 | & + zhvp2_e(ji,jj) * zv_trd(ji,jj) & |
|---|
| 993 | & + hv_n(ji,jj) * zv_frc(ji,jj) ) & |
|---|
| 994 | & ) * zhvra |
|---|
| 995 | END DO |
|---|
| 996 | END DO |
|---|
| 997 | ENDIF |
|---|
| 998 | ! |
|---|
| 999 | IF( .NOT.ln_linssh ) THEN !* Update ocean depth (variable volume case only) |
|---|
| 1000 | IF( ln_wd ) THEN |
|---|
| 1001 | hu_e (:,:) = MAX(hu_0(:,:) + zsshu_a(:,:), rn_wdmin1) |
|---|
| 1002 | hv_e (:,:) = MAX(hv_0(:,:) + zsshv_a(:,:), rn_wdmin1) |
|---|
| 1003 | ELSE |
|---|
| 1004 | hu_e (:,:) = hu_0(:,:) + zsshu_a(:,:) |
|---|
| 1005 | hv_e (:,:) = hv_0(:,:) + zsshv_a(:,:) |
|---|
| 1006 | END IF |
|---|
| 1007 | hur_e(:,:) = ssumask(:,:) / ( hu_e(:,:) + 1._wp - ssumask(:,:) ) |
|---|
| 1008 | hvr_e(:,:) = ssvmask(:,:) / ( hv_e(:,:) + 1._wp - ssvmask(:,:) ) |
|---|
| 1009 | ! |
|---|
| 1010 | ENDIF |
|---|
| 1011 | ! !* domain lateral boundary |
|---|
| 1012 | CALL lbc_lnk_multi( ua_e, 'U', -1._wp, va_e , 'V', -1._wp ) |
|---|
| 1013 | ! |
|---|
| 1014 | ! ! open boundaries |
|---|
| 1015 | IF( ln_bdy ) CALL bdy_dyn2d( jn, ua_e, va_e, un_e, vn_e, hur_e, hvr_e, ssha_e ) |
|---|
| 1016 | #if defined key_agrif |
|---|
| 1017 | IF( .NOT.Agrif_Root() ) CALL agrif_dyn_ts( jn ) ! Agrif |
|---|
| 1018 | #endif |
|---|
| 1019 | ! !* Swap |
|---|
| 1020 | ! ! ---- |
|---|
| 1021 | ubb_e (:,:) = ub_e (:,:) |
|---|
| 1022 | ub_e (:,:) = un_e (:,:) |
|---|
| 1023 | un_e (:,:) = ua_e (:,:) |
|---|
| 1024 | ! |
|---|
| 1025 | vbb_e (:,:) = vb_e (:,:) |
|---|
| 1026 | vb_e (:,:) = vn_e (:,:) |
|---|
| 1027 | vn_e (:,:) = va_e (:,:) |
|---|
| 1028 | ! |
|---|
| 1029 | sshbb_e(:,:) = sshb_e(:,:) |
|---|
| 1030 | sshb_e (:,:) = sshn_e(:,:) |
|---|
| 1031 | sshn_e (:,:) = ssha_e(:,:) |
|---|
| 1032 | |
|---|
| 1033 | ! !* Sum over whole bt loop |
|---|
| 1034 | ! ! ---------------------- |
|---|
| 1035 | za1 = wgtbtp1(jn) |
|---|
| 1036 | IF( ln_dynadv_vec .OR. ln_linssh ) THEN ! Sum velocities |
|---|
| 1037 | ua_b (:,:) = ua_b (:,:) + za1 * ua_e (:,:) |
|---|
| 1038 | va_b (:,:) = va_b (:,:) + za1 * va_e (:,:) |
|---|
| 1039 | ELSE ! Sum transports |
|---|
| 1040 | ua_b (:,:) = ua_b (:,:) + za1 * ua_e (:,:) * hu_e (:,:) |
|---|
| 1041 | va_b (:,:) = va_b (:,:) + za1 * va_e (:,:) * hv_e (:,:) |
|---|
| 1042 | ENDIF |
|---|
| 1043 | ! ! Sum sea level |
|---|
| 1044 | ssha(:,:) = ssha(:,:) + za1 * ssha_e(:,:) |
|---|
| 1045 | ! ! ==================== ! |
|---|
| 1046 | END DO ! end loop ! |
|---|
| 1047 | ! ! ==================== ! |
|---|
| 1048 | ! ----------------------------------------------------------------------------- |
|---|
| 1049 | ! Phase 3. update the general trend with the barotropic trend |
|---|
| 1050 | ! ----------------------------------------------------------------------------- |
|---|
| 1051 | ! |
|---|
| 1052 | ! Set advection velocity correction: |
|---|
| 1053 | zwx(:,:) = un_adv(:,:) |
|---|
| 1054 | zwy(:,:) = vn_adv(:,:) |
|---|
| 1055 | IF( ( kt == nit000 .AND. neuler==0 ) .OR. .NOT.ln_bt_fw ) THEN |
|---|
| 1056 | un_adv(:,:) = zwx(:,:) * r1_hu_n(:,:) |
|---|
| 1057 | vn_adv(:,:) = zwy(:,:) * r1_hv_n(:,:) |
|---|
| 1058 | ELSE |
|---|
| 1059 | un_adv(:,:) = r1_2 * ( ub2_b(:,:) + zwx(:,:) ) * r1_hu_n(:,:) |
|---|
| 1060 | vn_adv(:,:) = r1_2 * ( vb2_b(:,:) + zwy(:,:) ) * r1_hv_n(:,:) |
|---|
| 1061 | END IF |
|---|
| 1062 | |
|---|
| 1063 | IF( ln_bt_fw ) THEN ! Save integrated transport for next computation |
|---|
| 1064 | ub2_b(:,:) = zwx(:,:) |
|---|
| 1065 | vb2_b(:,:) = zwy(:,:) |
|---|
| 1066 | ENDIF |
|---|
| 1067 | ! |
|---|
| 1068 | ! Update barotropic trend: |
|---|
| 1069 | IF( ln_dynadv_vec .OR. ln_linssh ) THEN |
|---|
| 1070 | DO jk=1,jpkm1 |
|---|
| 1071 | ua(:,:,jk) = ua(:,:,jk) + ( ua_b(:,:) - ub_b(:,:) ) * z1_2dt_b |
|---|
| 1072 | va(:,:,jk) = va(:,:,jk) + ( va_b(:,:) - vb_b(:,:) ) * z1_2dt_b |
|---|
| 1073 | END DO |
|---|
| 1074 | ELSE |
|---|
| 1075 | ! At this stage, ssha has been corrected: compute new depths at velocity points |
|---|
| 1076 | DO jj = 1, jpjm1 |
|---|
| 1077 | DO ji = 1, jpim1 ! NO Vector Opt. |
|---|
| 1078 | zsshu_a(ji,jj) = r1_2 * umask(ji,jj,1) * r1_e1e2u(ji,jj) & |
|---|
| 1079 | & * ( e1e2t(ji ,jj) * ssha(ji ,jj) & |
|---|
| 1080 | & + e1e2t(ji+1,jj) * ssha(ji+1,jj) ) |
|---|
| 1081 | zsshv_a(ji,jj) = r1_2 * vmask(ji,jj,1) * r1_e1e2v(ji,jj) & |
|---|
| 1082 | & * ( e1e2t(ji,jj ) * ssha(ji,jj ) & |
|---|
| 1083 | & + e1e2t(ji,jj+1) * ssha(ji,jj+1) ) |
|---|
| 1084 | END DO |
|---|
| 1085 | END DO |
|---|
| 1086 | CALL lbc_lnk_multi( zsshu_a, 'U', 1._wp, zsshv_a, 'V', 1._wp ) ! Boundary conditions |
|---|
| 1087 | ! |
|---|
| 1088 | DO jk=1,jpkm1 |
|---|
| 1089 | ua(:,:,jk) = ua(:,:,jk) + r1_hu_n(:,:) * ( ua_b(:,:) - ub_b(:,:) * hu_b(:,:) ) * z1_2dt_b |
|---|
| 1090 | va(:,:,jk) = va(:,:,jk) + r1_hv_n(:,:) * ( va_b(:,:) - vb_b(:,:) * hv_b(:,:) ) * z1_2dt_b |
|---|
| 1091 | END DO |
|---|
| 1092 | ! Save barotropic velocities not transport: |
|---|
| 1093 | ua_b(:,:) = ua_b(:,:) / ( hu_0(:,:) + zsshu_a(:,:) + 1._wp - ssumask(:,:) ) |
|---|
| 1094 | va_b(:,:) = va_b(:,:) / ( hv_0(:,:) + zsshv_a(:,:) + 1._wp - ssvmask(:,:) ) |
|---|
| 1095 | ENDIF |
|---|
| 1096 | ! |
|---|
| 1097 | DO jk = 1, jpkm1 |
|---|
| 1098 | ! Correct velocities: |
|---|
| 1099 | un(:,:,jk) = ( un(:,:,jk) + un_adv(:,:) - un_b(:,:) ) * umask(:,:,jk) |
|---|
| 1100 | vn(:,:,jk) = ( vn(:,:,jk) + vn_adv(:,:) - vn_b(:,:) ) * vmask(:,:,jk) |
|---|
| 1101 | ! |
|---|
| 1102 | END DO |
|---|
| 1103 | ! |
|---|
| 1104 | CALL iom_put( "ubar", un_adv(:,:) ) ! barotropic i-current |
|---|
| 1105 | CALL iom_put( "vbar", vn_adv(:,:) ) ! barotropic i-current |
|---|
| 1106 | ! |
|---|
| 1107 | #if defined key_agrif |
|---|
| 1108 | ! Save time integrated fluxes during child grid integration |
|---|
| 1109 | ! (used to update coarse grid transports at next time step) |
|---|
| 1110 | ! |
|---|
| 1111 | IF( .NOT.Agrif_Root() .AND. ln_bt_fw ) THEN |
|---|
| 1112 | IF( Agrif_NbStepint() == 0 ) THEN |
|---|
| 1113 | ub2_i_b(:,:) = 0._wp |
|---|
| 1114 | vb2_i_b(:,:) = 0._wp |
|---|
| 1115 | END IF |
|---|
| 1116 | ! |
|---|
| 1117 | za1 = 1._wp / REAL(Agrif_rhot(), wp) |
|---|
| 1118 | ub2_i_b(:,:) = ub2_i_b(:,:) + za1 * ub2_b(:,:) |
|---|
| 1119 | vb2_i_b(:,:) = vb2_i_b(:,:) + za1 * vb2_b(:,:) |
|---|
| 1120 | ENDIF |
|---|
| 1121 | #endif |
|---|
| 1122 | ! !* write time-spliting arrays in the restart |
|---|
| 1123 | IF( lrst_oce .AND.ln_bt_fw ) CALL ts_rst( kt, 'WRITE' ) |
|---|
| 1124 | ! |
|---|
| 1125 | IF( ln_wd ) DEALLOCATE( zcpx, zcpy ) |
|---|
| 1126 | ! |
|---|
| 1127 | IF ( ln_diatmb ) THEN |
|---|
| 1128 | CALL iom_put( "baro_u" , un_b*umask(:,:,1)+zmdi*(1-umask(:,:,1 ) ) ) ! Barotropic U Velocity |
|---|
| 1129 | CALL iom_put( "baro_v" , vn_b*vmask(:,:,1)+zmdi*(1-vmask(:,:,1 ) ) ) ! Barotropic V Velocity |
|---|
| 1130 | ENDIF |
|---|
| 1131 | IF( nn_timing == 1 ) CALL timing_stop('dyn_spg_ts') |
|---|
| 1132 | ! |
|---|
| 1133 | END SUBROUTINE dyn_spg_ts |
|---|
| 1134 | |
|---|
| 1135 | |
|---|
| 1136 | SUBROUTINE ts_wgt( ll_av, ll_fw, jpit, zwgt1, zwgt2) |
|---|
| 1137 | !!--------------------------------------------------------------------- |
|---|
| 1138 | !! *** ROUTINE ts_wgt *** |
|---|
| 1139 | !! |
|---|
| 1140 | !! ** Purpose : Set time-splitting weights for temporal averaging (or not) |
|---|
| 1141 | !!---------------------------------------------------------------------- |
|---|
| 1142 | LOGICAL, INTENT(in) :: ll_av ! temporal averaging=.true. |
|---|
| 1143 | LOGICAL, INTENT(in) :: ll_fw ! forward time splitting =.true. |
|---|
| 1144 | INTEGER, INTENT(inout) :: jpit ! cycle length |
|---|
| 1145 | REAL(wp), DIMENSION(3*nn_baro), INTENT(inout) :: zwgt1, & ! Primary weights |
|---|
| 1146 | zwgt2 ! Secondary weights |
|---|
| 1147 | |
|---|
| 1148 | INTEGER :: jic, jn, ji ! temporary integers |
|---|
| 1149 | REAL(wp) :: za1, za2 |
|---|
| 1150 | !!---------------------------------------------------------------------- |
|---|
| 1151 | |
|---|
| 1152 | zwgt1(:) = 0._wp |
|---|
| 1153 | zwgt2(:) = 0._wp |
|---|
| 1154 | |
|---|
| 1155 | ! Set time index when averaged value is requested |
|---|
| 1156 | IF (ll_fw) THEN |
|---|
| 1157 | jic = nn_baro |
|---|
| 1158 | ELSE |
|---|
| 1159 | jic = 2 * nn_baro |
|---|
| 1160 | ENDIF |
|---|
| 1161 | |
|---|
| 1162 | ! Set primary weights: |
|---|
| 1163 | IF (ll_av) THEN |
|---|
| 1164 | ! Define simple boxcar window for primary weights |
|---|
| 1165 | ! (width = nn_baro, centered around jic) |
|---|
| 1166 | SELECT CASE ( nn_bt_flt ) |
|---|
| 1167 | CASE( 0 ) ! No averaging |
|---|
| 1168 | zwgt1(jic) = 1._wp |
|---|
| 1169 | jpit = jic |
|---|
| 1170 | |
|---|
| 1171 | CASE( 1 ) ! Boxcar, width = nn_baro |
|---|
| 1172 | DO jn = 1, 3*nn_baro |
|---|
| 1173 | za1 = ABS(float(jn-jic))/float(nn_baro) |
|---|
| 1174 | IF (za1 < 0.5_wp) THEN |
|---|
| 1175 | zwgt1(jn) = 1._wp |
|---|
| 1176 | jpit = jn |
|---|
| 1177 | ENDIF |
|---|
| 1178 | ENDDO |
|---|
| 1179 | |
|---|
| 1180 | CASE( 2 ) ! Boxcar, width = 2 * nn_baro |
|---|
| 1181 | DO jn = 1, 3*nn_baro |
|---|
| 1182 | za1 = ABS(float(jn-jic))/float(nn_baro) |
|---|
| 1183 | IF (za1 < 1._wp) THEN |
|---|
| 1184 | zwgt1(jn) = 1._wp |
|---|
| 1185 | jpit = jn |
|---|
| 1186 | ENDIF |
|---|
| 1187 | ENDDO |
|---|
| 1188 | CASE DEFAULT ; CALL ctl_stop( 'unrecognised value for nn_bt_flt' ) |
|---|
| 1189 | END SELECT |
|---|
| 1190 | |
|---|
| 1191 | ELSE ! No time averaging |
|---|
| 1192 | zwgt1(jic) = 1._wp |
|---|
| 1193 | jpit = jic |
|---|
| 1194 | ENDIF |
|---|
| 1195 | |
|---|
| 1196 | ! Set secondary weights |
|---|
| 1197 | DO jn = 1, jpit |
|---|
| 1198 | DO ji = jn, jpit |
|---|
| 1199 | zwgt2(jn) = zwgt2(jn) + zwgt1(ji) |
|---|
| 1200 | END DO |
|---|
| 1201 | END DO |
|---|
| 1202 | |
|---|
| 1203 | ! Normalize weigths: |
|---|
| 1204 | za1 = 1._wp / SUM(zwgt1(1:jpit)) |
|---|
| 1205 | za2 = 1._wp / SUM(zwgt2(1:jpit)) |
|---|
| 1206 | DO jn = 1, jpit |
|---|
| 1207 | zwgt1(jn) = zwgt1(jn) * za1 |
|---|
| 1208 | zwgt2(jn) = zwgt2(jn) * za2 |
|---|
| 1209 | END DO |
|---|
| 1210 | ! |
|---|
| 1211 | END SUBROUTINE ts_wgt |
|---|
| 1212 | |
|---|
| 1213 | |
|---|
| 1214 | SUBROUTINE ts_rst( kt, cdrw ) |
|---|
| 1215 | !!--------------------------------------------------------------------- |
|---|
| 1216 | !! *** ROUTINE ts_rst *** |
|---|
| 1217 | !! |
|---|
| 1218 | !! ** Purpose : Read or write time-splitting arrays in restart file |
|---|
| 1219 | !!---------------------------------------------------------------------- |
|---|
| 1220 | INTEGER , INTENT(in) :: kt ! ocean time-step |
|---|
| 1221 | CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag |
|---|
| 1222 | ! |
|---|
| 1223 | !!---------------------------------------------------------------------- |
|---|
| 1224 | ! |
|---|
| 1225 | IF( TRIM(cdrw) == 'READ' ) THEN |
|---|
| 1226 | CALL iom_get( numror, jpdom_autoglo, 'ub2_b' , ub2_b (:,:) ) |
|---|
| 1227 | CALL iom_get( numror, jpdom_autoglo, 'vb2_b' , vb2_b (:,:) ) |
|---|
| 1228 | IF( .NOT.ln_bt_av ) THEN |
|---|
| 1229 | CALL iom_get( numror, jpdom_autoglo, 'sshbb_e' , sshbb_e(:,:) ) |
|---|
| 1230 | CALL iom_get( numror, jpdom_autoglo, 'ubb_e' , ubb_e(:,:) ) |
|---|
| 1231 | CALL iom_get( numror, jpdom_autoglo, 'vbb_e' , vbb_e(:,:) ) |
|---|
| 1232 | CALL iom_get( numror, jpdom_autoglo, 'sshb_e' , sshb_e(:,:) ) |
|---|
| 1233 | CALL iom_get( numror, jpdom_autoglo, 'ub_e' , ub_e(:,:) ) |
|---|
| 1234 | CALL iom_get( numror, jpdom_autoglo, 'vb_e' , vb_e(:,:) ) |
|---|
| 1235 | ENDIF |
|---|
| 1236 | #if defined key_agrif |
|---|
| 1237 | ! Read time integrated fluxes |
|---|
| 1238 | IF ( .NOT.Agrif_Root() ) THEN |
|---|
| 1239 | CALL iom_get( numror, jpdom_autoglo, 'ub2_i_b' , ub2_i_b(:,:) ) |
|---|
| 1240 | CALL iom_get( numror, jpdom_autoglo, 'vb2_i_b' , vb2_i_b(:,:) ) |
|---|
| 1241 | ENDIF |
|---|
| 1242 | #endif |
|---|
| 1243 | ! |
|---|
| 1244 | ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN |
|---|
| 1245 | CALL iom_rstput( kt, nitrst, numrow, 'ub2_b' , ub2_b (:,:) ) |
|---|
| 1246 | CALL iom_rstput( kt, nitrst, numrow, 'vb2_b' , vb2_b (:,:) ) |
|---|
| 1247 | ! |
|---|
| 1248 | IF (.NOT.ln_bt_av) THEN |
|---|
| 1249 | CALL iom_rstput( kt, nitrst, numrow, 'sshbb_e' , sshbb_e(:,:) ) |
|---|
| 1250 | CALL iom_rstput( kt, nitrst, numrow, 'ubb_e' , ubb_e(:,:) ) |
|---|
| 1251 | CALL iom_rstput( kt, nitrst, numrow, 'vbb_e' , vbb_e(:,:) ) |
|---|
| 1252 | CALL iom_rstput( kt, nitrst, numrow, 'sshb_e' , sshb_e(:,:) ) |
|---|
| 1253 | CALL iom_rstput( kt, nitrst, numrow, 'ub_e' , ub_e(:,:) ) |
|---|
| 1254 | CALL iom_rstput( kt, nitrst, numrow, 'vb_e' , vb_e(:,:) ) |
|---|
| 1255 | ENDIF |
|---|
| 1256 | #if defined key_agrif |
|---|
| 1257 | ! Save time integrated fluxes |
|---|
| 1258 | IF ( .NOT.Agrif_Root() ) THEN |
|---|
| 1259 | CALL iom_rstput( kt, nitrst, numrow, 'ub2_i_b' , ub2_i_b(:,:) ) |
|---|
| 1260 | CALL iom_rstput( kt, nitrst, numrow, 'vb2_i_b' , vb2_i_b(:,:) ) |
|---|
| 1261 | ENDIF |
|---|
| 1262 | #endif |
|---|
| 1263 | ENDIF |
|---|
| 1264 | ! |
|---|
| 1265 | END SUBROUTINE ts_rst |
|---|
| 1266 | |
|---|
| 1267 | |
|---|
| 1268 | SUBROUTINE dyn_spg_ts_init |
|---|
| 1269 | !!--------------------------------------------------------------------- |
|---|
| 1270 | !! *** ROUTINE dyn_spg_ts_init *** |
|---|
| 1271 | !! |
|---|
| 1272 | !! ** Purpose : Set time splitting options |
|---|
| 1273 | !!---------------------------------------------------------------------- |
|---|
| 1274 | INTEGER :: ji ,jj ! dummy loop indices |
|---|
| 1275 | REAL(wp) :: zxr2, zyr2, zcmax ! local scalar |
|---|
| 1276 | REAL(wp), DIMENSION(jpi,jpj) :: zcu |
|---|
| 1277 | !!---------------------------------------------------------------------- |
|---|
| 1278 | ! |
|---|
| 1279 | ! Max courant number for ext. grav. waves |
|---|
| 1280 | ! |
|---|
| 1281 | DO jj = 1, jpj |
|---|
| 1282 | DO ji =1, jpi |
|---|
| 1283 | zxr2 = r1_e1t(ji,jj) * r1_e1t(ji,jj) |
|---|
| 1284 | zyr2 = r1_e2t(ji,jj) * r1_e2t(ji,jj) |
|---|
| 1285 | zcu(ji,jj) = SQRT( grav * MAX(ht_0(ji,jj),0._wp) * (zxr2 + zyr2) ) |
|---|
| 1286 | END DO |
|---|
| 1287 | END DO |
|---|
| 1288 | ! |
|---|
| 1289 | zcmax = MAXVAL( zcu(:,:) ) |
|---|
| 1290 | IF( lk_mpp ) CALL mpp_max( zcmax ) |
|---|
| 1291 | |
|---|
| 1292 | ! Estimate number of iterations to satisfy a max courant number= rn_bt_cmax |
|---|
| 1293 | IF( ln_bt_auto ) nn_baro = CEILING( rdt / rn_bt_cmax * zcmax) |
|---|
| 1294 | |
|---|
| 1295 | rdtbt = rdt / REAL( nn_baro , wp ) |
|---|
| 1296 | zcmax = zcmax * rdtbt |
|---|
| 1297 | ! Print results |
|---|
| 1298 | IF(lwp) WRITE(numout,*) |
|---|
| 1299 | IF(lwp) WRITE(numout,*) 'dyn_spg_ts : split-explicit free surface' |
|---|
| 1300 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~' |
|---|
| 1301 | IF( ln_bt_auto ) THEN |
|---|
| 1302 | IF(lwp) WRITE(numout,*) ' ln_ts_auto=.true. Automatically set nn_baro ' |
|---|
| 1303 | IF(lwp) WRITE(numout,*) ' Max. courant number allowed: ', rn_bt_cmax |
|---|
| 1304 | ELSE |
|---|
| 1305 | IF(lwp) WRITE(numout,*) ' ln_ts_auto=.false.: Use nn_baro in namelist ' |
|---|
| 1306 | ENDIF |
|---|
| 1307 | |
|---|
| 1308 | IF(ln_bt_av) THEN |
|---|
| 1309 | IF(lwp) WRITE(numout,*) ' ln_bt_av=.true. => Time averaging over nn_baro time steps is on ' |
|---|
| 1310 | ELSE |
|---|
| 1311 | IF(lwp) WRITE(numout,*) ' ln_bt_av=.false. => No time averaging of barotropic variables ' |
|---|
| 1312 | ENDIF |
|---|
| 1313 | ! |
|---|
| 1314 | ! |
|---|
| 1315 | IF(ln_bt_fw) THEN |
|---|
| 1316 | IF(lwp) WRITE(numout,*) ' ln_bt_fw=.true. => Forward integration of barotropic variables ' |
|---|
| 1317 | ELSE |
|---|
| 1318 | IF(lwp) WRITE(numout,*) ' ln_bt_fw =.false.=> Centred integration of barotropic variables ' |
|---|
| 1319 | ENDIF |
|---|
| 1320 | ! |
|---|
| 1321 | #if defined key_agrif |
|---|
| 1322 | ! Restrict the use of Agrif to the forward case only |
|---|
| 1323 | IF( .NOT.ln_bt_fw .AND. .NOT.Agrif_Root() ) CALL ctl_stop( 'AGRIF not implemented if ln_bt_fw=.FALSE.' ) |
|---|
| 1324 | #endif |
|---|
| 1325 | ! |
|---|
| 1326 | IF(lwp) WRITE(numout,*) ' Time filter choice, nn_bt_flt: ', nn_bt_flt |
|---|
| 1327 | SELECT CASE ( nn_bt_flt ) |
|---|
| 1328 | CASE( 0 ) ; IF(lwp) WRITE(numout,*) ' Dirac' |
|---|
| 1329 | CASE( 1 ) ; IF(lwp) WRITE(numout,*) ' Boxcar: width = nn_baro' |
|---|
| 1330 | CASE( 2 ) ; IF(lwp) WRITE(numout,*) ' Boxcar: width = 2*nn_baro' |
|---|
| 1331 | CASE DEFAULT ; CALL ctl_stop( 'unrecognised value for nn_bt_flt: should 0,1,2' ) |
|---|
| 1332 | END SELECT |
|---|
| 1333 | ! |
|---|
| 1334 | IF(lwp) WRITE(numout,*) ' ' |
|---|
| 1335 | IF(lwp) WRITE(numout,*) ' nn_baro = ', nn_baro |
|---|
| 1336 | IF(lwp) WRITE(numout,*) ' Barotropic time step [s] is :', rdtbt |
|---|
| 1337 | IF(lwp) WRITE(numout,*) ' Maximum Courant number is :', zcmax |
|---|
| 1338 | ! |
|---|
| 1339 | IF( .NOT.ln_bt_av .AND. .NOT.ln_bt_fw ) THEN |
|---|
| 1340 | CALL ctl_stop( 'dynspg_ts ERROR: No time averaging => only forward integration is possible' ) |
|---|
| 1341 | ENDIF |
|---|
| 1342 | IF( zcmax>0.9_wp ) THEN |
|---|
| 1343 | CALL ctl_stop( 'dynspg_ts ERROR: Maximum Courant number is greater than 0.9: Inc. nn_baro !' ) |
|---|
| 1344 | ENDIF |
|---|
| 1345 | ! |
|---|
| 1346 | END SUBROUTINE dyn_spg_ts_init |
|---|
| 1347 | |
|---|
| 1348 | !!====================================================================== |
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| 1349 | END MODULE dynspg_ts |
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