| 1 | MODULE dynspg_ts |
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| 2 | |
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| 3 | !! Includes ROMS wd scheme with diagnostic outputs ; puu(:,:,:,Kmm) and puu(:,:,:,Krhs) updates are commented out ! |
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| 4 | |
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| 5 | !!====================================================================== |
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| 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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| 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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| 15 | !! 3.3 ! 2010-09 (D. Storkey, E. O'Dea) update for BDY for Shelf configurations |
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| 16 | !! 3.3 ! 2011-03 (R. Benshila, R. Hordoir, P. Oddo) update calculation of ub_b |
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| 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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| 19 | !! 3.7 ! 2015-11 (J. Chanut) free surface simplification |
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| 20 | !! - ! 2016-12 (G. Madec, E. Clementi) update for Stoke-Drift divergence |
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| 21 | !! 4.0 ! 2017-05 (G. Madec) drag coef. defined at t-point (zdfdrg.F90) |
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| 22 | !!--------------------------------------------------------------------- |
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| 23 | |
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| 24 | !!---------------------------------------------------------------------- |
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| 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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| 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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| 32 | USE sbc_oce ! surface boundary condition: ocean |
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| 33 | USE isf_oce ! ice shelf variable (fwfisf) |
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| 34 | USE zdf_oce ! vertical physics: variables |
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| 35 | USE zdfdrg ! vertical physics: top/bottom drag coef. |
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| 36 | USE sbcapr ! surface boundary condition: atmospheric pressure |
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| 37 | USE dynadv , ONLY: ln_dynadv_vec |
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| 38 | USE dynvor ! vortivity scheme indicators |
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| 39 | USE phycst ! physical constants |
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| 40 | USE dynvor ! vorticity term |
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| 41 | USE wet_dry ! wetting/drying flux limter |
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| 42 | USE bdy_oce ! open boundary |
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| 43 | USE bdyvol ! open boundary volume conservation |
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| 44 | USE bdytides ! open boundary condition data |
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| 45 | USE bdydyn2d ! open boundary conditions on barotropic variables |
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| 46 | USE tide_mod ! |
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| 47 | USE sbcwave ! surface wave |
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| 48 | #if defined key_agrif |
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| 49 | USE agrif_oce_interp ! agrif |
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| 50 | USE agrif_oce |
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| 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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| 55 | ! |
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| 56 | USE in_out_manager ! I/O manager |
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| 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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| 60 | USE iom ! IOM library |
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| 61 | USE restart ! only for lrst_oce |
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| 62 | |
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| 63 | USE iom ! to remove |
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| 64 | |
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| 65 | IMPLICIT NONE |
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| 66 | PRIVATE |
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| 67 | |
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| 68 | PUBLIC dyn_spg_ts ! called by dyn_spg |
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| 69 | PUBLIC dyn_spg_ts_init ! - - dyn_spg_init |
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| 70 | |
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| 71 | !! Time filtered arrays at baroclinic time step: |
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| 72 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: un_adv , vn_adv !: Advection vel. at "now" barocl. step |
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| 73 | ! |
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| 74 | INTEGER, SAVE :: icycle ! Number of barotropic sub-steps for each internal step nn_e <= 2.5 nn_e |
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| 75 | REAL(wp),SAVE :: rDt_e ! Barotropic time step |
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| 76 | ! |
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| 77 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:) :: wgtbtp1, wgtbtp2 ! 1st & 2nd weights used in time filtering of barotropic fields |
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| 78 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: zwz ! ff_f/h at F points |
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| 79 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: ftnw, ftne ! triad of coriolis parameter |
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| 80 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: ftsw, ftse ! (only used with een vorticity scheme) |
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| 81 | |
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| 82 | REAL(wp) :: r1_12 = 1._wp / 12._wp ! local ratios |
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| 83 | REAL(wp) :: r1_8 = 0.125_wp ! |
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| 84 | REAL(wp) :: r1_4 = 0.25_wp ! |
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| 85 | REAL(wp) :: r1_2 = 0.5_wp ! |
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| 86 | |
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| 87 | !! * Substitutions |
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| 88 | # include "do_loop_substitute.h90" |
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| 89 | # include "domzgr_substitute.h90" |
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| 90 | !!---------------------------------------------------------------------- |
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| 91 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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| 92 | !! $Id$ |
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| 93 | !! Software governed by the CeCILL license (see ./LICENSE) |
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| 94 | !!---------------------------------------------------------------------- |
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| 95 | CONTAINS |
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| 96 | |
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| 97 | INTEGER FUNCTION dyn_spg_ts_alloc() |
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| 98 | !!---------------------------------------------------------------------- |
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| 99 | !! *** routine dyn_spg_ts_alloc *** |
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| 100 | !!---------------------------------------------------------------------- |
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| 101 | INTEGER :: ierr(3) |
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| 102 | !!---------------------------------------------------------------------- |
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| 103 | ierr(:) = 0 |
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| 104 | ! |
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| 105 | ALLOCATE( wgtbtp1(3*nn_e), wgtbtp2(3*nn_e), zwz(jpi,jpj), STAT=ierr(1) ) |
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| 106 | IF( ln_dynvor_een .OR. ln_dynvor_eeT ) & |
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| 107 | & ALLOCATE( ftnw(jpi,jpj) , ftne(jpi,jpj) , ftsw(jpi,jpj) , ftse(jpi,jpj), STAT=ierr(2) ) |
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| 108 | ! |
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| 109 | ALLOCATE( un_adv(jpi,jpj), vn_adv(jpi,jpj) , STAT=ierr(3) ) |
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| 110 | ! |
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| 111 | dyn_spg_ts_alloc = MAXVAL( ierr(:) ) |
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| 112 | ! |
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| 113 | CALL mpp_sum( 'dynspg_ts', dyn_spg_ts_alloc ) |
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| 114 | IF( dyn_spg_ts_alloc /= 0 ) CALL ctl_stop( 'STOP', 'dyn_spg_ts_alloc: failed to allocate arrays' ) |
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| 115 | ! |
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| 116 | END FUNCTION dyn_spg_ts_alloc |
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| 117 | |
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| 118 | |
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| 119 | SUBROUTINE dyn_spg_ts( kt, Kbb, Kmm, Krhs, puu, pvv, pssh, puu_b, pvv_b, Kaa ) |
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| 120 | !!---------------------------------------------------------------------- |
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| 121 | !! |
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| 122 | !! ** Purpose : - Compute the now trend due to the explicit time stepping |
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| 123 | !! of the quasi-linear barotropic system, and add it to the |
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| 124 | !! general momentum trend. |
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| 125 | !! |
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| 126 | !! ** Method : - split-explicit schem (time splitting) : |
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| 127 | !! Barotropic variables are advanced from internal time steps |
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| 128 | !! "n" to "n+1" if ln_bt_fw=T |
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| 129 | !! or from |
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| 130 | !! "n-1" to "n+1" if ln_bt_fw=F |
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| 131 | !! thanks to a generalized forward-backward time stepping (see ref. below). |
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| 132 | !! |
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| 133 | !! ** Action : |
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| 134 | !! -Update the filtered free surface at step "n+1" : pssh(:,:,Kaa) |
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| 135 | !! -Update filtered barotropic velocities at step "n+1" : puu_b(:,:,:,Kaa), vv_b(:,:,:,Kaa) |
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| 136 | !! -Compute barotropic advective fluxes at step "n" : un_adv, vn_adv |
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| 137 | !! These are used to advect tracers and are compliant with discrete |
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| 138 | !! continuity equation taken at the baroclinic time steps. This |
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| 139 | !! ensures tracers conservation. |
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| 140 | !! - (puu(:,:,:,Krhs), pvv(:,:,:,Krhs)) momentum trend updated with barotropic component. |
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| 141 | !! |
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| 142 | !! References : Shchepetkin and McWilliams, Ocean Modelling, 2005. |
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| 143 | !!--------------------------------------------------------------------- |
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| 144 | INTEGER , INTENT( in ) :: kt ! ocean time-step index |
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| 145 | INTEGER , INTENT( in ) :: Kbb, Kmm, Krhs, Kaa ! ocean time level indices |
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| 146 | REAL(wp), DIMENSION(jpi,jpj,jpk,jpt), INTENT(inout) :: puu, pvv ! ocean velocities and RHS of momentum equation |
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| 147 | REAL(wp), DIMENSION(jpi,jpj,jpt) , INTENT(inout) :: pssh, puu_b, pvv_b ! SSH and barotropic velocities at main time levels |
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| 148 | ! |
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| 149 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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| 150 | LOGICAL :: ll_fw_start ! =T : forward integration |
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| 151 | LOGICAL :: ll_init ! =T : special startup of 2d equations |
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| 152 | INTEGER :: noffset ! local integers : time offset for bdy update |
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| 153 | REAL(wp) :: r1_Dt_b, z1_hu, z1_hv ! local scalars |
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| 154 | REAL(wp) :: za0, za1, za2, za3 ! - - |
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| 155 | REAL(wp) :: zztmp, zldg ! - - |
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| 156 | REAL(wp) :: zhu_bck, zhv_bck, zhdiv ! - - |
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| 157 | REAL(wp) :: zun_save, zvn_save ! - - |
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| 158 | REAL(wp), DIMENSION(jpi,jpj) :: zu_trd, zu_frc, zu_spg, zssh_frc |
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| 159 | REAL(wp), DIMENSION(jpi,jpj) :: zv_trd, zv_frc, zv_spg |
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| 160 | REAL(wp), DIMENSION(jpi,jpj) :: zsshu_a, zhup2_e, zhtp2_e |
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| 161 | REAL(wp), DIMENSION(jpi,jpj) :: zsshv_a, zhvp2_e, zsshp2_e |
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| 162 | REAL(wp), DIMENSION(jpi,jpj) :: zCdU_u, zCdU_v ! top/bottom stress at u- & v-points |
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| 163 | REAL(wp), DIMENSION(jpi,jpj) :: zhU, zhV ! fluxes |
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| 164 | REAL(wp), DIMENSION(jpi, jpj, jpk) :: ze3u, ze3v |
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| 165 | ! |
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| 166 | REAL(wp) :: zwdramp ! local scalar - only used if ln_wd_dl = .True. |
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| 167 | |
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| 168 | INTEGER :: iwdg, jwdg, kwdg ! short-hand values for the indices of the output point |
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| 169 | |
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| 170 | REAL(wp) :: zepsilon, zgamma ! - - |
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| 171 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zcpx, zcpy ! Wetting/Dying gravity filter coef. |
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| 172 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: ztwdmask, zuwdmask, zvwdmask ! ROMS wetting and drying masks at t,u,v points |
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| 173 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zuwdav2, zvwdav2 ! averages over the sub-steps of zuwdmask and zvwdmask |
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| 174 | REAL(wp) :: zt0substep ! Time of day at the beginning of the time substep |
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| 175 | !!---------------------------------------------------------------------- |
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| 176 | ! |
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| 177 | IF( ln_wd_il ) ALLOCATE( zcpx(jpi,jpj), zcpy(jpi,jpj) ) |
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| 178 | ! !* Allocate temporary arrays |
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| 179 | IF( ln_wd_dl ) ALLOCATE( ztwdmask(jpi,jpj), zuwdmask(jpi,jpj), zvwdmask(jpi,jpj), zuwdav2(jpi,jpj), zvwdav2(jpi,jpj)) |
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| 180 | ! |
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| 181 | zwdramp = r_rn_wdmin1 ! simplest ramp |
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| 182 | ! zwdramp = 1._wp / (rn_wdmin2 - rn_wdmin1) ! more general ramp |
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| 183 | ! ! inverse of baroclinic time step |
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| 184 | r1_Dt_b = 1._wp / rDt |
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| 185 | ! |
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| 186 | ll_init = ln_bt_av ! if no time averaging, then no specific restart |
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| 187 | ll_fw_start = .FALSE. |
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| 188 | ! ! time offset in steps for bdy data update |
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| 189 | IF( .NOT.ln_bt_fw ) THEN ; noffset = - nn_e |
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| 190 | ELSE ; noffset = 0 |
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| 191 | ENDIF |
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| 192 | ! |
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| 193 | IF( kt == nit000 ) THEN !* initialisation |
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| 194 | ! |
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| 195 | IF(lwp) WRITE(numout,*) |
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| 196 | IF(lwp) WRITE(numout,*) 'dyn_spg_ts : surface pressure gradient trend' |
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| 197 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~ free surface with time splitting' |
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| 198 | IF(lwp) WRITE(numout,*) |
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| 199 | ! |
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| 200 | IF( l_1st_euler ) ll_init=.TRUE. |
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| 201 | ! |
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| 202 | IF( ln_bt_fw .OR. l_1st_euler ) THEN |
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| 203 | ll_fw_start =.TRUE. |
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| 204 | noffset = 0 |
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| 205 | ELSE |
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| 206 | ll_fw_start =.FALSE. |
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| 207 | ENDIF |
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| 208 | ! ! Set averaging weights and cycle length: |
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| 209 | CALL ts_wgt( ln_bt_av, ll_fw_start, icycle, wgtbtp1, wgtbtp2 ) |
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| 210 | ! |
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| 211 | ELSEIF( kt == nit000 + 1 ) THEN !* initialisation 2nd time-step |
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| 212 | ! |
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| 213 | IF( .NOT.ln_bt_fw ) THEN |
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| 214 | ! If we did an Euler timestep on the first timestep we need to reset ll_fw_start |
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| 215 | ! and the averaging weights. We don't have an easy way of telling whether we did |
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| 216 | ! an Euler timestep on the first timestep (because l_1st_euler is reset to .false. |
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| 217 | ! at the end of the first timestep) so just do this in all cases. |
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| 218 | ll_fw_start = .FALSE. |
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| 219 | CALL ts_wgt( ln_bt_av, ll_fw_start, icycle, wgtbtp1, wgtbtp2 ) |
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| 220 | ENDIF |
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| 221 | ! |
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| 222 | ENDIF |
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| 223 | ! |
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| 224 | ! ----------------------------------------------------------------------------- |
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| 225 | ! Phase 1 : Coupling between general trend and barotropic estimates (1st step) |
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| 226 | ! ----------------------------------------------------------------------------- |
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| 227 | ! |
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| 228 | ! |
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| 229 | ! != zu_frc = 1/H e3*d/dt(Ua) =! (Vertical mean of Ua, the 3D trends) |
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| 230 | ! ! --------------------------- ! |
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| 231 | DO jk = 1 , jpk |
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| 232 | ze3u(:,:,jk) = e3u(:,:,jk,Kmm) |
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| 233 | ze3v(:,:,jk) = e3v(:,:,jk,Kmm) |
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| 234 | END DO |
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| 235 | ! |
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| 236 | zu_frc(:,:) = SUM( ze3u(:,:,:) * uu(:,:,:,Krhs) * umask(:,:,:) , DIM=3 ) * r1_hu(:,:,Kmm) |
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| 237 | zv_frc(:,:) = SUM( ze3v(:,:,:) * vv(:,:,:,Krhs) * vmask(:,:,:) , DIM=3 ) * r1_hv(:,:,Kmm) |
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| 238 | ! |
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| 239 | ! |
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| 240 | ! != U(Krhs) => baroclinic trend =! (remove its vertical mean) |
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| 241 | DO jk = 1, jpkm1 ! ----------------------------- ! |
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| 242 | uu(:,:,jk,Krhs) = ( uu(:,:,jk,Krhs) - zu_frc(:,:) ) * umask(:,:,jk) |
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| 243 | vv(:,:,jk,Krhs) = ( vv(:,:,jk,Krhs) - zv_frc(:,:) ) * vmask(:,:,jk) |
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| 244 | END DO |
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| 245 | |
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| 246 | !!gm Question here when removing the Vertically integrated trends, we remove the vertically integrated NL trends on momentum.... |
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| 247 | !!gm Is it correct to do so ? I think so... |
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| 248 | |
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| 249 | ! != remove 2D Coriolis and pressure gradient trends =! |
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| 250 | ! ! ------------------------------------------------- ! |
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| 251 | ! |
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| 252 | IF( kt == nit000 .OR. .NOT. ln_linssh ) CALL dyn_cor_2D_init( Kmm ) ! Set zwz, the barotropic Coriolis force coefficient |
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| 253 | ! ! recompute zwz = f/depth at every time step for (.NOT.ln_linssh) as the water colomn height changes |
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| 254 | ! |
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| 255 | ! !* 2D Coriolis trends |
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| 256 | zhU(:,:) = puu_b(:,:,Kmm) * hu(:,:,Kmm) * e2u(:,:) ! now fluxes |
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| 257 | zhV(:,:) = pvv_b(:,:,Kmm) * hv(:,:,Kmm) * e1v(:,:) ! NB: FULL domain : put a value in last row and column |
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| 258 | ! |
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| 259 | CALL dyn_cor_2d( ht(:,:), hu(:,:,Kmm), hv(:,:,Kmm), puu_b(:,:,Kmm), pvv_b(:,:,Kmm), zhU, zhV, & ! <<== in |
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| 260 | & zu_trd, zv_trd ) ! ==>> out |
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| 261 | ! |
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| 262 | IF( .NOT.ln_linssh ) THEN !* surface pressure gradient (variable volume only) |
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| 263 | ! |
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| 264 | IF( ln_wd_il ) THEN ! W/D : limiter applied to spgspg |
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| 265 | CALL wad_spg( pssh(:,:,Kmm), zcpx, zcpy ) ! Calculating W/D gravity filters, zcpx and zcpy |
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| 266 | DO_2D( 0, 0, 0, 0 ) |
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| 267 | zu_trd(ji,jj) = zu_trd(ji,jj) - grav * ( pssh(ji+1,jj ,Kmm) - pssh(ji ,jj ,Kmm) ) & |
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| 268 | & * r1_e1u(ji,jj) * zcpx(ji,jj) * wdrampu(ji,jj) !jth |
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| 269 | zv_trd(ji,jj) = zv_trd(ji,jj) - grav * ( pssh(ji ,jj+1,Kmm) - pssh(ji ,jj ,Kmm) ) & |
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| 270 | & * r1_e2v(ji,jj) * zcpy(ji,jj) * wdrampv(ji,jj) !jth |
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| 271 | END_2D |
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| 272 | ELSE ! now suface pressure gradient |
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| 273 | DO_2D( 0, 0, 0, 0 ) |
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| 274 | zu_trd(ji,jj) = zu_trd(ji,jj) - grav * ( pssh(ji+1,jj ,Kmm) - pssh(ji ,jj ,Kmm) ) * r1_e1u(ji,jj) |
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| 275 | zv_trd(ji,jj) = zv_trd(ji,jj) - grav * ( pssh(ji ,jj+1,Kmm) - pssh(ji ,jj ,Kmm) ) * r1_e2v(ji,jj) |
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| 276 | END_2D |
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| 277 | ENDIF |
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| 278 | ! |
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| 279 | ENDIF |
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| 280 | ! |
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| 281 | DO_2D( 0, 0, 0, 0 ) |
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| 282 | zu_frc(ji,jj) = zu_frc(ji,jj) - zu_trd(ji,jj) * ssumask(ji,jj) |
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| 283 | zv_frc(ji,jj) = zv_frc(ji,jj) - zv_trd(ji,jj) * ssvmask(ji,jj) |
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| 284 | END_2D |
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| 285 | ! |
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| 286 | ! != Add bottom stress contribution from baroclinic velocities =! |
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| 287 | ! ! ----------------------------------------------------------- ! |
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| 288 | CALL dyn_drg_init( Kbb, Kmm, puu, pvv, puu_b ,pvv_b, zu_frc, zv_frc, zCdU_u, zCdU_v ) ! also provide the barotropic drag coefficients |
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| 289 | ! != Add atmospheric pressure forcing =! |
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| 290 | ! ! ---------------------------------- ! |
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| 291 | IF( ln_apr_dyn ) THEN |
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| 292 | IF( ln_bt_fw ) THEN ! FORWARD integration: use kt+1/2 pressure (NOW+1/2) |
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| 293 | DO_2D( 0, 0, 0, 0 ) |
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| 294 | zu_frc(ji,jj) = zu_frc(ji,jj) + grav * ( ssh_ib (ji+1,jj ) - ssh_ib (ji,jj) ) * r1_e1u(ji,jj) |
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| 295 | zv_frc(ji,jj) = zv_frc(ji,jj) + grav * ( ssh_ib (ji ,jj+1) - ssh_ib (ji,jj) ) * r1_e2v(ji,jj) |
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| 296 | END_2D |
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| 297 | ELSE ! CENTRED integration: use kt-1/2 + kt+1/2 pressure (NOW) |
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| 298 | zztmp = grav * r1_2 |
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| 299 | DO_2D( 0, 0, 0, 0 ) |
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| 300 | zu_frc(ji,jj) = zu_frc(ji,jj) + zztmp * ( ssh_ib (ji+1,jj ) - ssh_ib (ji,jj) & |
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| 301 | & + ssh_ibb(ji+1,jj ) - ssh_ibb(ji,jj) ) * r1_e1u(ji,jj) |
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| 302 | zv_frc(ji,jj) = zv_frc(ji,jj) + zztmp * ( ssh_ib (ji ,jj+1) - ssh_ib (ji,jj) & |
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| 303 | & + ssh_ibb(ji ,jj+1) - ssh_ibb(ji,jj) ) * r1_e2v(ji,jj) |
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| 304 | END_2D |
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| 305 | ENDIF |
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| 306 | ENDIF |
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| 307 | ! |
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| 308 | ! != Add atmospheric pressure forcing =! |
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| 309 | ! ! ---------------------------------- ! |
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| 310 | IF( ln_bt_fw ) THEN ! Add wind forcing |
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| 311 | DO_2D( 0, 0, 0, 0 ) |
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| 312 | zu_frc(ji,jj) = zu_frc(ji,jj) + r1_rho0 * utau(ji,jj) * r1_hu(ji,jj,Kmm) |
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| 313 | zv_frc(ji,jj) = zv_frc(ji,jj) + r1_rho0 * vtau(ji,jj) * r1_hv(ji,jj,Kmm) |
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| 314 | END_2D |
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| 315 | ELSE |
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| 316 | zztmp = r1_rho0 * r1_2 |
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| 317 | DO_2D( 0, 0, 0, 0 ) |
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| 318 | zu_frc(ji,jj) = zu_frc(ji,jj) + zztmp * ( utau_b(ji,jj) + utau(ji,jj) ) * r1_hu(ji,jj,Kmm) |
|---|
| 319 | zv_frc(ji,jj) = zv_frc(ji,jj) + zztmp * ( vtau_b(ji,jj) + vtau(ji,jj) ) * r1_hv(ji,jj,Kmm) |
|---|
| 320 | END_2D |
|---|
| 321 | ENDIF |
|---|
| 322 | ! |
|---|
| 323 | ! !----------------! |
|---|
| 324 | ! !== sssh_frc ==! Right-Hand-Side of the barotropic ssh equation (over the FULL domain) |
|---|
| 325 | ! !----------------! |
|---|
| 326 | ! != Net water flux forcing applied to a water column =! |
|---|
| 327 | ! ! --------------------------------------------------- ! |
|---|
| 328 | IF (ln_bt_fw) THEN ! FORWARD integration: use kt+1/2 fluxes (NOW+1/2) |
|---|
| 329 | zssh_frc(:,:) = r1_rho0 * ( emp(:,:) - rnf(:,:) + fwfisf_cav(:,:) + fwfisf_par(:,:) ) |
|---|
| 330 | ELSE ! CENTRED integration: use kt-1/2 + kt+1/2 fluxes (NOW) |
|---|
| 331 | zztmp = r1_rho0 * r1_2 |
|---|
| 332 | zssh_frc(:,:) = zztmp * ( emp(:,:) + emp_b(:,:) & |
|---|
| 333 | & - rnf(:,:) - rnf_b(:,:) & |
|---|
| 334 | & + fwfisf_cav(:,:) + fwfisf_cav_b(:,:) & |
|---|
| 335 | & + fwfisf_par(:,:) + fwfisf_par_b(:,:) ) |
|---|
| 336 | ENDIF |
|---|
| 337 | ! != Add Stokes drift divergence =! (if exist) |
|---|
| 338 | IF( ln_sdw ) THEN ! ----------------------------- ! |
|---|
| 339 | zssh_frc(:,:) = zssh_frc(:,:) + div_sd(:,:) |
|---|
| 340 | ENDIF |
|---|
| 341 | ! |
|---|
| 342 | ! ! ice sheet coupling |
|---|
| 343 | IF ( ln_isf .AND. ln_isfcpl ) THEN |
|---|
| 344 | ! |
|---|
| 345 | ! ice sheet coupling |
|---|
| 346 | IF( ln_rstart .AND. kt == nit000 ) THEN |
|---|
| 347 | zssh_frc(:,:) = zssh_frc(:,:) + risfcpl_ssh(:,:) |
|---|
| 348 | END IF |
|---|
| 349 | ! |
|---|
| 350 | ! conservation option |
|---|
| 351 | IF( ln_isfcpl_cons ) THEN |
|---|
| 352 | zssh_frc(:,:) = zssh_frc(:,:) + risfcpl_cons_ssh(:,:) |
|---|
| 353 | END IF |
|---|
| 354 | ! |
|---|
| 355 | END IF |
|---|
| 356 | ! |
|---|
| 357 | #if defined key_asminc |
|---|
| 358 | ! != Add the IAU weighted SSH increment =! |
|---|
| 359 | ! ! ------------------------------------ ! |
|---|
| 360 | IF( lk_asminc .AND. ln_sshinc .AND. ln_asmiau ) THEN |
|---|
| 361 | zssh_frc(:,:) = zssh_frc(:,:) - ssh_iau(:,:) |
|---|
| 362 | ENDIF |
|---|
| 363 | #endif |
|---|
| 364 | ! != Fill boundary data arrays for AGRIF |
|---|
| 365 | ! ! ------------------------------------ |
|---|
| 366 | #if defined key_agrif |
|---|
| 367 | IF( .NOT.Agrif_Root() ) CALL agrif_dta_ts( kt ) |
|---|
| 368 | #endif |
|---|
| 369 | ! |
|---|
| 370 | ! ----------------------------------------------------------------------- |
|---|
| 371 | ! Phase 2 : Integration of the barotropic equations |
|---|
| 372 | ! ----------------------------------------------------------------------- |
|---|
| 373 | ! |
|---|
| 374 | ! ! ==================== ! |
|---|
| 375 | ! ! Initialisations ! |
|---|
| 376 | ! ! ==================== ! |
|---|
| 377 | ! Initialize barotropic variables: |
|---|
| 378 | IF( ll_init )THEN |
|---|
| 379 | sshbb_e(:,:) = 0._wp |
|---|
| 380 | ubb_e (:,:) = 0._wp |
|---|
| 381 | vbb_e (:,:) = 0._wp |
|---|
| 382 | sshb_e (:,:) = 0._wp |
|---|
| 383 | ub_e (:,:) = 0._wp |
|---|
| 384 | vb_e (:,:) = 0._wp |
|---|
| 385 | ENDIF |
|---|
| 386 | ! |
|---|
| 387 | IF( ln_linssh ) THEN ! mid-step ocean depth is fixed (hup2_e=hu_n=hu_0) |
|---|
| 388 | zhup2_e(:,:) = hu(:,:,Kmm) |
|---|
| 389 | zhvp2_e(:,:) = hv(:,:,Kmm) |
|---|
| 390 | zhtp2_e(:,:) = ht(:,:) |
|---|
| 391 | ENDIF |
|---|
| 392 | ! |
|---|
| 393 | IF (ln_bt_fw) THEN ! FORWARD integration: start from NOW fields |
|---|
| 394 | sshn_e(:,:) = pssh(:,:,Kmm) |
|---|
| 395 | un_e (:,:) = puu_b(:,:,Kmm) |
|---|
| 396 | vn_e (:,:) = pvv_b(:,:,Kmm) |
|---|
| 397 | ! |
|---|
| 398 | hu_e (:,:) = hu(:,:,Kmm) |
|---|
| 399 | hv_e (:,:) = hv(:,:,Kmm) |
|---|
| 400 | hur_e (:,:) = r1_hu(:,:,Kmm) |
|---|
| 401 | hvr_e (:,:) = r1_hv(:,:,Kmm) |
|---|
| 402 | ELSE ! CENTRED integration: start from BEFORE fields |
|---|
| 403 | sshn_e(:,:) = pssh(:,:,Kbb) |
|---|
| 404 | un_e (:,:) = puu_b(:,:,Kbb) |
|---|
| 405 | vn_e (:,:) = pvv_b(:,:,Kbb) |
|---|
| 406 | ! |
|---|
| 407 | hu_e (:,:) = hu(:,:,Kbb) |
|---|
| 408 | hv_e (:,:) = hv(:,:,Kbb) |
|---|
| 409 | hur_e (:,:) = r1_hu(:,:,Kbb) |
|---|
| 410 | hvr_e (:,:) = r1_hv(:,:,Kbb) |
|---|
| 411 | ENDIF |
|---|
| 412 | ! |
|---|
| 413 | ! Initialize sums: |
|---|
| 414 | puu_b (:,:,Kaa) = 0._wp ! After barotropic velocities (or transport if flux form) |
|---|
| 415 | pvv_b (:,:,Kaa) = 0._wp |
|---|
| 416 | pssh (:,:,Kaa) = 0._wp ! Sum for after averaged sea level |
|---|
| 417 | un_adv(:,:) = 0._wp ! Sum for now transport issued from ts loop |
|---|
| 418 | vn_adv(:,:) = 0._wp |
|---|
| 419 | ! |
|---|
| 420 | IF( ln_wd_dl ) THEN |
|---|
| 421 | zuwdmask(:,:) = 0._wp ! set to zero for definiteness (not sure this is necessary) |
|---|
| 422 | zvwdmask(:,:) = 0._wp ! |
|---|
| 423 | zuwdav2 (:,:) = 0._wp |
|---|
| 424 | zvwdav2 (:,:) = 0._wp |
|---|
| 425 | END IF |
|---|
| 426 | |
|---|
| 427 | ! ! ==================== ! |
|---|
| 428 | DO jn = 1, icycle ! sub-time-step loop ! |
|---|
| 429 | ! ! ==================== ! |
|---|
| 430 | ! |
|---|
| 431 | l_full_nf_update = jn == icycle ! false: disable full North fold update (performances) for jn = 1 to icycle-1 |
|---|
| 432 | ! |
|---|
| 433 | ! !== Update the forcing ==! (BDY and tides) |
|---|
| 434 | ! |
|---|
| 435 | IF( ln_bdy .AND. ln_tide ) CALL bdy_dta_tides( kt, kit=jn, pt_offset= REAL(noffset+1,wp) ) |
|---|
| 436 | ! Update tide potential at the beginning of current time substep |
|---|
| 437 | IF( ln_tide_pot .AND. ln_tide ) THEN |
|---|
| 438 | zt0substep = REAL(nsec_day, wp) - 0.5_wp*rn_Dt + (jn + noffset - 1) * rn_Dt / REAL(nn_e, wp) |
|---|
| 439 | CALL upd_tide(zt0substep, Kmm) |
|---|
| 440 | END IF |
|---|
| 441 | ! |
|---|
| 442 | ! !== extrapolation at mid-step ==! (jn+1/2) |
|---|
| 443 | ! |
|---|
| 444 | ! !* Set extrapolation coefficients for predictor step: |
|---|
| 445 | IF ((jn<3).AND.ll_init) THEN ! Forward |
|---|
| 446 | za1 = 1._wp |
|---|
| 447 | za2 = 0._wp |
|---|
| 448 | za3 = 0._wp |
|---|
| 449 | ELSE ! AB3-AM4 Coefficients: bet=0.281105 |
|---|
| 450 | za1 = 1.781105_wp ! za1 = 3/2 + bet |
|---|
| 451 | za2 = -1.06221_wp ! za2 = -(1/2 + 2*bet) |
|---|
| 452 | za3 = 0.281105_wp ! za3 = bet |
|---|
| 453 | ENDIF |
|---|
| 454 | ! |
|---|
| 455 | ! !* Extrapolate barotropic velocities at mid-step (jn+1/2) |
|---|
| 456 | !-- m+1/2 m m-1 m-2 --! |
|---|
| 457 | !-- u = (3/2+beta) u -(1/2+2beta) u + beta u --! |
|---|
| 458 | !-------------------------------------------------------------------------! |
|---|
| 459 | ua_e(:,:) = za1 * un_e(:,:) + za2 * ub_e(:,:) + za3 * ubb_e(:,:) |
|---|
| 460 | va_e(:,:) = za1 * vn_e(:,:) + za2 * vb_e(:,:) + za3 * vbb_e(:,:) |
|---|
| 461 | |
|---|
| 462 | IF( .NOT.ln_linssh ) THEN !* Update ocean depth (variable volume case only) |
|---|
| 463 | ! ! ------------------ |
|---|
| 464 | ! Extrapolate Sea Level at step jit+0.5: |
|---|
| 465 | !-- m+1/2 m m-1 m-2 --! |
|---|
| 466 | !-- ssh = (3/2+beta) ssh -(1/2+2beta) ssh + beta ssh --! |
|---|
| 467 | !--------------------------------------------------------------------------------! |
|---|
| 468 | zsshp2_e(:,:) = za1 * sshn_e(:,:) + za2 * sshb_e(:,:) + za3 * sshbb_e(:,:) |
|---|
| 469 | |
|---|
| 470 | ! set wetting & drying mask at tracer points for this barotropic mid-step |
|---|
| 471 | IF( ln_wd_dl ) CALL wad_tmsk( zsshp2_e, ztwdmask ) |
|---|
| 472 | ! |
|---|
| 473 | ! ! ocean t-depth at mid-step |
|---|
| 474 | zhtp2_e(:,:) = ht_0(:,:) + zsshp2_e(:,:) |
|---|
| 475 | ! |
|---|
| 476 | ! ! ocean u- and v-depth at mid-step (separate DO-loops remove the need of a lbc_lnk) |
|---|
| 477 | DO_2D( 1, 1, 1, 0 ) |
|---|
| 478 | zhup2_e(ji,jj) = hu_0(ji,jj) + r1_2 * r1_e1e2u(ji,jj) & |
|---|
| 479 | & * ( e1e2t(ji ,jj) * zsshp2_e(ji ,jj) & |
|---|
| 480 | & + e1e2t(ji+1,jj) * zsshp2_e(ji+1,jj) ) * ssumask(ji,jj) |
|---|
| 481 | END_2D |
|---|
| 482 | DO_2D( 1, 0, 1, 1 ) |
|---|
| 483 | zhvp2_e(ji,jj) = hv_0(ji,jj) + r1_2 * r1_e1e2v(ji,jj) & |
|---|
| 484 | & * ( e1e2t(ji,jj ) * zsshp2_e(ji,jj ) & |
|---|
| 485 | & + e1e2t(ji,jj+1) * zsshp2_e(ji,jj+1) ) * ssvmask(ji,jj) |
|---|
| 486 | END_2D |
|---|
| 487 | ! |
|---|
| 488 | ENDIF |
|---|
| 489 | ! |
|---|
| 490 | ! !== after SSH ==! (jn+1) |
|---|
| 491 | ! |
|---|
| 492 | ! ! update (ua_e,va_e) to enforce volume conservation at open boundaries |
|---|
| 493 | ! ! values of zhup2_e and zhvp2_e on the halo are not needed in bdy_vol2d |
|---|
| 494 | IF( ln_bdy .AND. ln_vol ) CALL bdy_vol2d( kt, jn, ua_e, va_e, zhup2_e, zhvp2_e ) |
|---|
| 495 | ! |
|---|
| 496 | ! ! resulting flux at mid-step (not over the full domain) |
|---|
| 497 | zhU(1:jpim1,1:jpj ) = e2u(1:jpim1,1:jpj ) * ua_e(1:jpim1,1:jpj ) * zhup2_e(1:jpim1,1:jpj ) ! not jpi-column |
|---|
| 498 | zhV(1:jpi ,1:jpjm1) = e1v(1:jpi ,1:jpjm1) * va_e(1:jpi ,1:jpjm1) * zhvp2_e(1:jpi ,1:jpjm1) ! not jpj-row |
|---|
| 499 | ! |
|---|
| 500 | #if defined key_agrif |
|---|
| 501 | ! Set fluxes during predictor step to ensure volume conservation |
|---|
| 502 | IF( .NOT.Agrif_Root() .AND. ln_bt_fw ) CALL agrif_dyn_ts_flux( jn, zhU, zhV ) |
|---|
| 503 | #endif |
|---|
| 504 | IF( ln_wd_il ) CALL wad_lmt_bt(zhU, zhV, sshn_e, zssh_frc, rDt_e) !!gm wad_lmt_bt use of lbc_lnk on zhU, zhV |
|---|
| 505 | |
|---|
| 506 | IF( ln_wd_dl ) THEN ! un_e and vn_e are set to zero at faces where |
|---|
| 507 | ! ! the direction of the flow is from dry cells |
|---|
| 508 | CALL wad_Umsk( ztwdmask, zhU, zhV, un_e, vn_e, zuwdmask, zvwdmask ) ! not jpi colomn for U, not jpj row for V |
|---|
| 509 | ! |
|---|
| 510 | ENDIF |
|---|
| 511 | ! |
|---|
| 512 | ! |
|---|
| 513 | ! Compute Sea Level at step jit+1 |
|---|
| 514 | !-- m+1 m m+1/2 --! |
|---|
| 515 | !-- ssh = ssh - delta_t' * [ frc + div( flux ) ] --! |
|---|
| 516 | !-------------------------------------------------------------------------! |
|---|
| 517 | DO_2D( 0, 0, 0, 0 ) |
|---|
| 518 | zhdiv = ( zhU(ji,jj) - zhU(ji-1,jj) + zhV(ji,jj) - zhV(ji,jj-1) ) * r1_e1e2t(ji,jj) |
|---|
| 519 | ssha_e(ji,jj) = ( sshn_e(ji,jj) - rDt_e * ( zssh_frc(ji,jj) + zhdiv ) ) * ssmask(ji,jj) |
|---|
| 520 | END_2D |
|---|
| 521 | ! |
|---|
| 522 | CALL lbc_lnk_multi( 'dynspg_ts', ssha_e, 'T', 1._wp, zhU, 'U', -1._wp, zhV, 'V', -1._wp ) |
|---|
| 523 | ! |
|---|
| 524 | ! Duplicate sea level across open boundaries (this is only cosmetic if linssh=T) |
|---|
| 525 | IF( ln_bdy ) CALL bdy_ssh( ssha_e ) |
|---|
| 526 | #if defined key_agrif |
|---|
| 527 | IF( .NOT.Agrif_Root() ) CALL agrif_ssh_ts( jn ) |
|---|
| 528 | #endif |
|---|
| 529 | ! |
|---|
| 530 | ! ! Sum over sub-time-steps to compute advective velocities |
|---|
| 531 | za2 = wgtbtp2(jn) ! zhU, zhV hold fluxes extrapolated at jn+0.5 |
|---|
| 532 | un_adv(:,:) = un_adv(:,:) + za2 * zhU(:,:) * r1_e2u(:,:) |
|---|
| 533 | vn_adv(:,:) = vn_adv(:,:) + za2 * zhV(:,:) * r1_e1v(:,:) |
|---|
| 534 | ! sum over sub-time-steps to decide which baroclinic velocities to set to zero (zuwdav2 is only used when ln_wd_dl_bc=True) |
|---|
| 535 | IF ( ln_wd_dl_bc ) THEN |
|---|
| 536 | zuwdav2(1:jpim1,1:jpj ) = zuwdav2(1:jpim1,1:jpj ) + za2 * zuwdmask(1:jpim1,1:jpj ) ! not jpi-column |
|---|
| 537 | zvwdav2(1:jpi ,1:jpjm1) = zvwdav2(1:jpi ,1:jpjm1) + za2 * zvwdmask(1:jpi ,1:jpjm1) ! not jpj-row |
|---|
| 538 | END IF |
|---|
| 539 | ! |
|---|
| 540 | ! |
|---|
| 541 | ! Sea Surface Height at u-,v-points (vvl case only) |
|---|
| 542 | IF( .NOT.ln_linssh ) THEN |
|---|
| 543 | DO_2D( 0, 0, 0, 0 ) |
|---|
| 544 | zsshu_a(ji,jj) = r1_2 * ssumask(ji,jj) * r1_e1e2u(ji,jj) & |
|---|
| 545 | & * ( e1e2t(ji ,jj ) * ssha_e(ji ,jj ) & |
|---|
| 546 | & + e1e2t(ji+1,jj ) * ssha_e(ji+1,jj ) ) |
|---|
| 547 | zsshv_a(ji,jj) = r1_2 * ssvmask(ji,jj) * r1_e1e2v(ji,jj) & |
|---|
| 548 | & * ( e1e2t(ji ,jj ) * ssha_e(ji ,jj ) & |
|---|
| 549 | & + e1e2t(ji ,jj+1) * ssha_e(ji ,jj+1) ) |
|---|
| 550 | END_2D |
|---|
| 551 | ENDIF |
|---|
| 552 | ! |
|---|
| 553 | ! Half-step back interpolation of SSH for surface pressure computation at step jit+1/2 |
|---|
| 554 | !-- m+1/2 m+1 m m-1 m-2 --! |
|---|
| 555 | !-- ssh' = za0 * ssh + za1 * ssh + za2 * ssh + za3 * ssh --! |
|---|
| 556 | !------------------------------------------------------------------------------------------! |
|---|
| 557 | CALL ts_bck_interp( jn, ll_init, za0, za1, za2, za3 ) ! coeficients of the interpolation |
|---|
| 558 | zsshp2_e(:,:) = za0 * ssha_e(:,:) + za1 * sshn_e (:,:) & |
|---|
| 559 | & + za2 * sshb_e(:,:) + za3 * sshbb_e(:,:) |
|---|
| 560 | ! |
|---|
| 561 | ! ! Surface pressure gradient |
|---|
| 562 | zldg = ( 1._wp - rn_scal_load ) * grav ! local factor |
|---|
| 563 | DO_2D( 0, 0, 0, 0 ) |
|---|
| 564 | zu_spg(ji,jj) = - zldg * ( zsshp2_e(ji+1,jj) - zsshp2_e(ji,jj) ) * r1_e1u(ji,jj) |
|---|
| 565 | zv_spg(ji,jj) = - zldg * ( zsshp2_e(ji,jj+1) - zsshp2_e(ji,jj) ) * r1_e2v(ji,jj) |
|---|
| 566 | END_2D |
|---|
| 567 | IF( ln_wd_il ) THEN ! W/D : gravity filters applied on pressure gradient |
|---|
| 568 | CALL wad_spg( zsshp2_e, zcpx, zcpy ) ! Calculating W/D gravity filters |
|---|
| 569 | zu_spg(2:jpim1,2:jpjm1) = zu_spg(2:jpim1,2:jpjm1) * zcpx(2:jpim1,2:jpjm1) |
|---|
| 570 | zv_spg(2:jpim1,2:jpjm1) = zv_spg(2:jpim1,2:jpjm1) * zcpy(2:jpim1,2:jpjm1) |
|---|
| 571 | ENDIF |
|---|
| 572 | ! |
|---|
| 573 | ! Add Coriolis trend: |
|---|
| 574 | ! zwz array below or triads normally depend on sea level with ln_linssh=F and should be updated |
|---|
| 575 | ! at each time step. We however keep them constant here for optimization. |
|---|
| 576 | ! Recall that zhU and zhV hold fluxes at jn+0.5 (extrapolated not backward interpolated) |
|---|
| 577 | CALL dyn_cor_2d( zhtp2_e, zhup2_e, zhvp2_e, ua_e, va_e, zhU, zhV, zu_trd, zv_trd ) |
|---|
| 578 | ! |
|---|
| 579 | ! Add tidal astronomical forcing if defined |
|---|
| 580 | IF ( ln_tide .AND. ln_tide_pot ) THEN |
|---|
| 581 | DO_2D( 0, 0, 0, 0 ) |
|---|
| 582 | zu_trd(ji,jj) = zu_trd(ji,jj) + grav * ( pot_astro(ji+1,jj) - pot_astro(ji,jj) ) * r1_e1u(ji,jj) |
|---|
| 583 | zv_trd(ji,jj) = zv_trd(ji,jj) + grav * ( pot_astro(ji,jj+1) - pot_astro(ji,jj) ) * r1_e2v(ji,jj) |
|---|
| 584 | END_2D |
|---|
| 585 | ENDIF |
|---|
| 586 | ! |
|---|
| 587 | ! Add bottom stresses: |
|---|
| 588 | !jth do implicitly instead |
|---|
| 589 | IF ( .NOT. ll_wd ) THEN ! Revert to explicit for bit comparison tests in non wad runs |
|---|
| 590 | DO_2D( 0, 0, 0, 0 ) |
|---|
| 591 | zu_trd(ji,jj) = zu_trd(ji,jj) + zCdU_u(ji,jj) * un_e(ji,jj) * hur_e(ji,jj) |
|---|
| 592 | zv_trd(ji,jj) = zv_trd(ji,jj) + zCdU_v(ji,jj) * vn_e(ji,jj) * hvr_e(ji,jj) |
|---|
| 593 | END_2D |
|---|
| 594 | ENDIF |
|---|
| 595 | ! |
|---|
| 596 | ! Set next velocities: |
|---|
| 597 | ! Compute barotropic speeds at step jit+1 (h : total height of the water colomn) |
|---|
| 598 | !-- VECTOR FORM |
|---|
| 599 | !-- m+1 m / m+1/2 \ --! |
|---|
| 600 | !-- u = u + delta_t' * \ (1-r)*g * grad_x( ssh') - f * k vect u + frc / --! |
|---|
| 601 | !-- --! |
|---|
| 602 | !-- FLUX FORM --! |
|---|
| 603 | !-- m+1 __1__ / m m / m+1/2 m+1/2 m+1/2 n \ \ --! |
|---|
| 604 | !-- u = m+1 | h * u + delta_t' * \ h * (1-r)*g * grad_x( ssh') - h * f * k vect u + h * frc / | --! |
|---|
| 605 | !-- h \ / --! |
|---|
| 606 | !------------------------------------------------------------------------------------------------------------------------! |
|---|
| 607 | IF( ln_dynadv_vec .OR. ln_linssh ) THEN !* Vector form |
|---|
| 608 | DO_2D( 0, 0, 0, 0 ) |
|---|
| 609 | ua_e(ji,jj) = ( un_e(ji,jj) & |
|---|
| 610 | & + rDt_e * ( zu_spg(ji,jj) & |
|---|
| 611 | & + zu_trd(ji,jj) & |
|---|
| 612 | & + zu_frc(ji,jj) ) & |
|---|
| 613 | & ) * ssumask(ji,jj) |
|---|
| 614 | |
|---|
| 615 | va_e(ji,jj) = ( vn_e(ji,jj) & |
|---|
| 616 | & + rDt_e * ( zv_spg(ji,jj) & |
|---|
| 617 | & + zv_trd(ji,jj) & |
|---|
| 618 | & + zv_frc(ji,jj) ) & |
|---|
| 619 | & ) * ssvmask(ji,jj) |
|---|
| 620 | END_2D |
|---|
| 621 | ! |
|---|
| 622 | ELSE !* Flux form |
|---|
| 623 | DO_2D( 0, 0, 0, 0 ) |
|---|
| 624 | ! ! hu_e, hv_e hold depth at jn, zhup2_e, zhvp2_e hold extrapolated depth at jn+1/2 |
|---|
| 625 | ! ! backward interpolated depth used in spg terms at jn+1/2 |
|---|
| 626 | zhu_bck = hu_0(ji,jj) + r1_2*r1_e1e2u(ji,jj) * ( e1e2t(ji ,jj) * zsshp2_e(ji ,jj) & |
|---|
| 627 | & + e1e2t(ji+1,jj) * zsshp2_e(ji+1,jj) ) * ssumask(ji,jj) |
|---|
| 628 | zhv_bck = hv_0(ji,jj) + r1_2*r1_e1e2v(ji,jj) * ( e1e2t(ji,jj ) * zsshp2_e(ji,jj ) & |
|---|
| 629 | & + e1e2t(ji,jj+1) * zsshp2_e(ji,jj+1) ) * ssvmask(ji,jj) |
|---|
| 630 | ! ! inverse depth at jn+1 |
|---|
| 631 | z1_hu = ssumask(ji,jj) / ( hu_0(ji,jj) + zsshu_a(ji,jj) + 1._wp - ssumask(ji,jj) ) |
|---|
| 632 | z1_hv = ssvmask(ji,jj) / ( hv_0(ji,jj) + zsshv_a(ji,jj) + 1._wp - ssvmask(ji,jj) ) |
|---|
| 633 | ! |
|---|
| 634 | ua_e(ji,jj) = ( hu_e (ji,jj) * un_e (ji,jj) & |
|---|
| 635 | & + rDt_e * ( zhu_bck * zu_spg (ji,jj) & ! |
|---|
| 636 | & + zhup2_e(ji,jj) * zu_trd (ji,jj) & ! |
|---|
| 637 | & + hu(ji,jj,Kmm) * zu_frc (ji,jj) ) ) * z1_hu |
|---|
| 638 | ! |
|---|
| 639 | va_e(ji,jj) = ( hv_e (ji,jj) * vn_e (ji,jj) & |
|---|
| 640 | & + rDt_e * ( zhv_bck * zv_spg (ji,jj) & ! |
|---|
| 641 | & + zhvp2_e(ji,jj) * zv_trd (ji,jj) & ! |
|---|
| 642 | & + hv(ji,jj,Kmm) * zv_frc (ji,jj) ) ) * z1_hv |
|---|
| 643 | END_2D |
|---|
| 644 | ENDIF |
|---|
| 645 | !jth implicit bottom friction: |
|---|
| 646 | IF ( ll_wd ) THEN ! revert to explicit for bit comparison tests in non wad runs |
|---|
| 647 | DO_2D( 0, 0, 0, 0 ) |
|---|
| 648 | ua_e(ji,jj) = ua_e(ji,jj) /(1.0 - rDt_e * zCdU_u(ji,jj) * hur_e(ji,jj)) |
|---|
| 649 | va_e(ji,jj) = va_e(ji,jj) /(1.0 - rDt_e * zCdU_v(ji,jj) * hvr_e(ji,jj)) |
|---|
| 650 | END_2D |
|---|
| 651 | ENDIF |
|---|
| 652 | |
|---|
| 653 | IF( .NOT.ln_linssh ) THEN !* Update ocean depth (variable volume case only) |
|---|
| 654 | hu_e (2:jpim1,2:jpjm1) = hu_0(2:jpim1,2:jpjm1) + zsshu_a(2:jpim1,2:jpjm1) |
|---|
| 655 | hur_e(2:jpim1,2:jpjm1) = ssumask(2:jpim1,2:jpjm1) / ( hu_e(2:jpim1,2:jpjm1) + 1._wp - ssumask(2:jpim1,2:jpjm1) ) |
|---|
| 656 | hv_e (2:jpim1,2:jpjm1) = hv_0(2:jpim1,2:jpjm1) + zsshv_a(2:jpim1,2:jpjm1) |
|---|
| 657 | hvr_e(2:jpim1,2:jpjm1) = ssvmask(2:jpim1,2:jpjm1) / ( hv_e(2:jpim1,2:jpjm1) + 1._wp - ssvmask(2:jpim1,2:jpjm1) ) |
|---|
| 658 | ENDIF |
|---|
| 659 | ! |
|---|
| 660 | IF( .NOT.ln_linssh ) THEN !* Update ocean depth (variable volume case only) |
|---|
| 661 | CALL lbc_lnk_multi( 'dynspg_ts', ua_e , 'U', -1._wp, va_e , 'V', -1._wp & |
|---|
| 662 | & , hu_e , 'U', 1._wp, hv_e , 'V', 1._wp & |
|---|
| 663 | & , hur_e, 'U', 1._wp, hvr_e, 'V', 1._wp ) |
|---|
| 664 | ELSE |
|---|
| 665 | CALL lbc_lnk_multi( 'dynspg_ts', ua_e , 'U', -1._wp, va_e , 'V', -1._wp ) |
|---|
| 666 | ENDIF |
|---|
| 667 | ! ! open boundaries |
|---|
| 668 | IF( ln_bdy ) CALL bdy_dyn2d( jn, ua_e, va_e, un_e, vn_e, hur_e, hvr_e, ssha_e ) |
|---|
| 669 | #if defined key_agrif |
|---|
| 670 | IF( .NOT.Agrif_Root() ) CALL agrif_dyn_ts( jn ) ! Agrif |
|---|
| 671 | #endif |
|---|
| 672 | ! !* Swap |
|---|
| 673 | ! ! ---- |
|---|
| 674 | ubb_e (:,:) = ub_e (:,:) |
|---|
| 675 | ub_e (:,:) = un_e (:,:) |
|---|
| 676 | un_e (:,:) = ua_e (:,:) |
|---|
| 677 | ! |
|---|
| 678 | vbb_e (:,:) = vb_e (:,:) |
|---|
| 679 | vb_e (:,:) = vn_e (:,:) |
|---|
| 680 | vn_e (:,:) = va_e (:,:) |
|---|
| 681 | ! |
|---|
| 682 | sshbb_e(:,:) = sshb_e(:,:) |
|---|
| 683 | sshb_e (:,:) = sshn_e(:,:) |
|---|
| 684 | sshn_e (:,:) = ssha_e(:,:) |
|---|
| 685 | |
|---|
| 686 | ! !* Sum over whole bt loop |
|---|
| 687 | ! ! ---------------------- |
|---|
| 688 | za1 = wgtbtp1(jn) |
|---|
| 689 | IF( ln_dynadv_vec .OR. ln_linssh ) THEN ! Sum velocities |
|---|
| 690 | puu_b (:,:,Kaa) = puu_b (:,:,Kaa) + za1 * ua_e (:,:) |
|---|
| 691 | pvv_b (:,:,Kaa) = pvv_b (:,:,Kaa) + za1 * va_e (:,:) |
|---|
| 692 | ELSE ! Sum transports |
|---|
| 693 | IF ( .NOT.ln_wd_dl ) THEN |
|---|
| 694 | puu_b (:,:,Kaa) = puu_b (:,:,Kaa) + za1 * ua_e (:,:) * hu_e (:,:) |
|---|
| 695 | pvv_b (:,:,Kaa) = pvv_b (:,:,Kaa) + za1 * va_e (:,:) * hv_e (:,:) |
|---|
| 696 | ELSE |
|---|
| 697 | puu_b (:,:,Kaa) = puu_b (:,:,Kaa) + za1 * ua_e (:,:) * hu_e (:,:) * zuwdmask(:,:) |
|---|
| 698 | pvv_b (:,:,Kaa) = pvv_b (:,:,Kaa) + za1 * va_e (:,:) * hv_e (:,:) * zvwdmask(:,:) |
|---|
| 699 | END IF |
|---|
| 700 | ENDIF |
|---|
| 701 | ! ! Sum sea level |
|---|
| 702 | pssh(:,:,Kaa) = pssh(:,:,Kaa) + za1 * ssha_e(:,:) |
|---|
| 703 | |
|---|
| 704 | ! ! ==================== ! |
|---|
| 705 | END DO ! end loop ! |
|---|
| 706 | ! ! ==================== ! |
|---|
| 707 | ! ----------------------------------------------------------------------------- |
|---|
| 708 | ! Phase 3. update the general trend with the barotropic trend |
|---|
| 709 | ! ----------------------------------------------------------------------------- |
|---|
| 710 | ! |
|---|
| 711 | ! Set advection velocity correction: |
|---|
| 712 | IF (ln_bt_fw) THEN |
|---|
| 713 | IF( .NOT.( kt == nit000 .AND. l_1st_euler ) ) THEN |
|---|
| 714 | DO_2D( 1, 1, 1, 1 ) |
|---|
| 715 | zun_save = un_adv(ji,jj) |
|---|
| 716 | zvn_save = vn_adv(ji,jj) |
|---|
| 717 | ! ! apply the previously computed correction |
|---|
| 718 | un_adv(ji,jj) = r1_2 * ( ub2_b(ji,jj) + zun_save - rn_atfp * un_bf(ji,jj) ) |
|---|
| 719 | vn_adv(ji,jj) = r1_2 * ( vb2_b(ji,jj) + zvn_save - rn_atfp * vn_bf(ji,jj) ) |
|---|
| 720 | ! ! Update corrective fluxes for next time step |
|---|
| 721 | un_bf(ji,jj) = rn_atfp * un_bf(ji,jj) + ( zun_save - ub2_b(ji,jj) ) |
|---|
| 722 | vn_bf(ji,jj) = rn_atfp * vn_bf(ji,jj) + ( zvn_save - vb2_b(ji,jj) ) |
|---|
| 723 | ! ! Save integrated transport for next computation |
|---|
| 724 | ub2_b(ji,jj) = zun_save |
|---|
| 725 | vb2_b(ji,jj) = zvn_save |
|---|
| 726 | END_2D |
|---|
| 727 | ELSE |
|---|
| 728 | un_bf(:,:) = 0._wp ! corrective fluxes for next time step set to zero |
|---|
| 729 | vn_bf(:,:) = 0._wp |
|---|
| 730 | ub2_b(:,:) = un_adv(:,:) ! Save integrated transport for next computation |
|---|
| 731 | vb2_b(:,:) = vn_adv(:,:) |
|---|
| 732 | END IF |
|---|
| 733 | ENDIF |
|---|
| 734 | |
|---|
| 735 | |
|---|
| 736 | ! |
|---|
| 737 | ! Update barotropic trend: |
|---|
| 738 | IF( ln_dynadv_vec .OR. ln_linssh ) THEN |
|---|
| 739 | DO jk=1,jpkm1 |
|---|
| 740 | puu(:,:,jk,Krhs) = puu(:,:,jk,Krhs) + ( puu_b(:,:,Kaa) - puu_b(:,:,Kbb) ) * r1_Dt_b |
|---|
| 741 | pvv(:,:,jk,Krhs) = pvv(:,:,jk,Krhs) + ( pvv_b(:,:,Kaa) - pvv_b(:,:,Kbb) ) * r1_Dt_b |
|---|
| 742 | END DO |
|---|
| 743 | ELSE |
|---|
| 744 | ! At this stage, pssh(:,:,:,Krhs) has been corrected: compute new depths at velocity points |
|---|
| 745 | DO_2D( 1, 0, 1, 0 ) |
|---|
| 746 | zsshu_a(ji,jj) = r1_2 * ssumask(ji,jj) * r1_e1e2u(ji,jj) & |
|---|
| 747 | & * ( e1e2t(ji ,jj) * pssh(ji ,jj,Kaa) & |
|---|
| 748 | & + e1e2t(ji+1,jj) * pssh(ji+1,jj,Kaa) ) |
|---|
| 749 | zsshv_a(ji,jj) = r1_2 * ssvmask(ji,jj) * r1_e1e2v(ji,jj) & |
|---|
| 750 | & * ( e1e2t(ji,jj ) * pssh(ji,jj ,Kaa) & |
|---|
| 751 | & + e1e2t(ji,jj+1) * pssh(ji,jj+1,Kaa) ) |
|---|
| 752 | END_2D |
|---|
| 753 | CALL lbc_lnk_multi( 'dynspg_ts', zsshu_a, 'U', 1._wp, zsshv_a, 'V', 1._wp ) ! Boundary conditions |
|---|
| 754 | ! |
|---|
| 755 | DO jk=1,jpkm1 |
|---|
| 756 | puu(:,:,jk,Krhs) = puu(:,:,jk,Krhs) + r1_hu(:,:,Kmm) * ( puu_b(:,:,Kaa) - puu_b(:,:,Kbb) * hu(:,:,Kbb) ) * r1_Dt_b |
|---|
| 757 | pvv(:,:,jk,Krhs) = pvv(:,:,jk,Krhs) + r1_hv(:,:,Kmm) * ( pvv_b(:,:,Kaa) - pvv_b(:,:,Kbb) * hv(:,:,Kbb) ) * r1_Dt_b |
|---|
| 758 | END DO |
|---|
| 759 | ! Save barotropic velocities not transport: |
|---|
| 760 | puu_b(:,:,Kaa) = puu_b(:,:,Kaa) / ( hu_0(:,:) + zsshu_a(:,:) + 1._wp - ssumask(:,:) ) |
|---|
| 761 | pvv_b(:,:,Kaa) = pvv_b(:,:,Kaa) / ( hv_0(:,:) + zsshv_a(:,:) + 1._wp - ssvmask(:,:) ) |
|---|
| 762 | ENDIF |
|---|
| 763 | |
|---|
| 764 | |
|---|
| 765 | ! Correct velocities so that the barotropic velocity equals (un_adv, vn_adv) (in all cases) |
|---|
| 766 | DO jk = 1, jpkm1 |
|---|
| 767 | puu(:,:,jk,Kmm) = ( puu(:,:,jk,Kmm) + un_adv(:,:)*r1_hu(:,:,Kmm) - puu_b(:,:,Kmm) ) * umask(:,:,jk) |
|---|
| 768 | pvv(:,:,jk,Kmm) = ( pvv(:,:,jk,Kmm) + vn_adv(:,:)*r1_hv(:,:,Kmm) - pvv_b(:,:,Kmm) ) * vmask(:,:,jk) |
|---|
| 769 | END DO |
|---|
| 770 | |
|---|
| 771 | IF ( ln_wd_dl .and. ln_wd_dl_bc) THEN |
|---|
| 772 | DO jk = 1, jpkm1 |
|---|
| 773 | puu(:,:,jk,Kmm) = ( un_adv(:,:)*r1_hu(:,:,Kmm) & |
|---|
| 774 | & + zuwdav2(:,:)*(puu(:,:,jk,Kmm) - un_adv(:,:)*r1_hu(:,:,Kmm)) ) * umask(:,:,jk) |
|---|
| 775 | pvv(:,:,jk,Kmm) = ( vn_adv(:,:)*r1_hv(:,:,Kmm) & |
|---|
| 776 | & + zvwdav2(:,:)*(pvv(:,:,jk,Kmm) - vn_adv(:,:)*r1_hv(:,:,Kmm)) ) * vmask(:,:,jk) |
|---|
| 777 | END DO |
|---|
| 778 | END IF |
|---|
| 779 | |
|---|
| 780 | |
|---|
| 781 | CALL iom_put( "ubar", un_adv(:,:)*r1_hu(:,:,Kmm) ) ! barotropic i-current |
|---|
| 782 | CALL iom_put( "vbar", vn_adv(:,:)*r1_hv(:,:,Kmm) ) ! barotropic i-current |
|---|
| 783 | ! |
|---|
| 784 | #if defined key_agrif |
|---|
| 785 | ! Save time integrated fluxes during child grid integration |
|---|
| 786 | ! (used to update coarse grid transports at next time step) |
|---|
| 787 | ! |
|---|
| 788 | IF( .NOT.Agrif_Root() .AND. ln_bt_fw ) THEN |
|---|
| 789 | IF( Agrif_NbStepint() == 0 ) THEN |
|---|
| 790 | ub2_i_b(:,:) = 0._wp |
|---|
| 791 | vb2_i_b(:,:) = 0._wp |
|---|
| 792 | END IF |
|---|
| 793 | ! |
|---|
| 794 | za1 = 1._wp / REAL(Agrif_rhot(), wp) |
|---|
| 795 | ub2_i_b(:,:) = ub2_i_b(:,:) + za1 * ub2_b(:,:) |
|---|
| 796 | vb2_i_b(:,:) = vb2_i_b(:,:) + za1 * vb2_b(:,:) |
|---|
| 797 | ENDIF |
|---|
| 798 | #endif |
|---|
| 799 | ! !* write time-spliting arrays in the restart |
|---|
| 800 | IF( lrst_oce .AND.ln_bt_fw ) CALL ts_rst( kt, 'WRITE' ) |
|---|
| 801 | ! |
|---|
| 802 | IF( ln_wd_il ) DEALLOCATE( zcpx, zcpy ) |
|---|
| 803 | IF( ln_wd_dl ) DEALLOCATE( ztwdmask, zuwdmask, zvwdmask, zuwdav2, zvwdav2 ) |
|---|
| 804 | ! |
|---|
| 805 | CALL iom_put( "baro_u" , puu_b(:,:,Kmm) ) ! Barotropic U Velocity |
|---|
| 806 | CALL iom_put( "baro_v" , pvv_b(:,:,Kmm) ) ! Barotropic V Velocity |
|---|
| 807 | ! |
|---|
| 808 | END SUBROUTINE dyn_spg_ts |
|---|
| 809 | |
|---|
| 810 | |
|---|
| 811 | SUBROUTINE ts_wgt( ll_av, ll_fw, jpit, zwgt1, zwgt2) |
|---|
| 812 | !!--------------------------------------------------------------------- |
|---|
| 813 | !! *** ROUTINE ts_wgt *** |
|---|
| 814 | !! |
|---|
| 815 | !! ** Purpose : Set time-splitting weights for temporal averaging (or not) |
|---|
| 816 | !!---------------------------------------------------------------------- |
|---|
| 817 | LOGICAL, INTENT(in) :: ll_av ! temporal averaging=.true. |
|---|
| 818 | LOGICAL, INTENT(in) :: ll_fw ! forward time splitting =.true. |
|---|
| 819 | INTEGER, INTENT(inout) :: jpit ! cycle length |
|---|
| 820 | REAL(wp), DIMENSION(3*nn_e), INTENT(inout) :: zwgt1, & ! Primary weights |
|---|
| 821 | zwgt2 ! Secondary weights |
|---|
| 822 | |
|---|
| 823 | INTEGER :: jic, jn, ji ! temporary integers |
|---|
| 824 | REAL(wp) :: za1, za2 |
|---|
| 825 | !!---------------------------------------------------------------------- |
|---|
| 826 | |
|---|
| 827 | zwgt1(:) = 0._wp |
|---|
| 828 | zwgt2(:) = 0._wp |
|---|
| 829 | |
|---|
| 830 | ! Set time index when averaged value is requested |
|---|
| 831 | IF (ll_fw) THEN |
|---|
| 832 | jic = nn_e |
|---|
| 833 | ELSE |
|---|
| 834 | jic = 2 * nn_e |
|---|
| 835 | ENDIF |
|---|
| 836 | |
|---|
| 837 | ! Set primary weights: |
|---|
| 838 | IF (ll_av) THEN |
|---|
| 839 | ! Define simple boxcar window for primary weights |
|---|
| 840 | ! (width = nn_e, centered around jic) |
|---|
| 841 | SELECT CASE ( nn_bt_flt ) |
|---|
| 842 | CASE( 0 ) ! No averaging |
|---|
| 843 | zwgt1(jic) = 1._wp |
|---|
| 844 | jpit = jic |
|---|
| 845 | |
|---|
| 846 | CASE( 1 ) ! Boxcar, width = nn_e |
|---|
| 847 | DO jn = 1, 3*nn_e |
|---|
| 848 | za1 = ABS(float(jn-jic))/float(nn_e) |
|---|
| 849 | IF (za1 < 0.5_wp) THEN |
|---|
| 850 | zwgt1(jn) = 1._wp |
|---|
| 851 | jpit = jn |
|---|
| 852 | ENDIF |
|---|
| 853 | ENDDO |
|---|
| 854 | |
|---|
| 855 | CASE( 2 ) ! Boxcar, width = 2 * nn_e |
|---|
| 856 | DO jn = 1, 3*nn_e |
|---|
| 857 | za1 = ABS(float(jn-jic))/float(nn_e) |
|---|
| 858 | IF (za1 < 1._wp) THEN |
|---|
| 859 | zwgt1(jn) = 1._wp |
|---|
| 860 | jpit = jn |
|---|
| 861 | ENDIF |
|---|
| 862 | ENDDO |
|---|
| 863 | CASE DEFAULT ; CALL ctl_stop( 'unrecognised value for nn_bt_flt' ) |
|---|
| 864 | END SELECT |
|---|
| 865 | |
|---|
| 866 | ELSE ! No time averaging |
|---|
| 867 | zwgt1(jic) = 1._wp |
|---|
| 868 | jpit = jic |
|---|
| 869 | ENDIF |
|---|
| 870 | |
|---|
| 871 | ! Set secondary weights |
|---|
| 872 | DO jn = 1, jpit |
|---|
| 873 | DO ji = jn, jpit |
|---|
| 874 | zwgt2(jn) = zwgt2(jn) + zwgt1(ji) |
|---|
| 875 | END DO |
|---|
| 876 | END DO |
|---|
| 877 | |
|---|
| 878 | ! Normalize weigths: |
|---|
| 879 | za1 = 1._wp / SUM(zwgt1(1:jpit)) |
|---|
| 880 | za2 = 1._wp / SUM(zwgt2(1:jpit)) |
|---|
| 881 | DO jn = 1, jpit |
|---|
| 882 | zwgt1(jn) = zwgt1(jn) * za1 |
|---|
| 883 | zwgt2(jn) = zwgt2(jn) * za2 |
|---|
| 884 | END DO |
|---|
| 885 | ! |
|---|
| 886 | END SUBROUTINE ts_wgt |
|---|
| 887 | |
|---|
| 888 | |
|---|
| 889 | SUBROUTINE ts_rst( kt, cdrw ) |
|---|
| 890 | !!--------------------------------------------------------------------- |
|---|
| 891 | !! *** ROUTINE ts_rst *** |
|---|
| 892 | !! |
|---|
| 893 | !! ** Purpose : Read or write time-splitting arrays in restart file |
|---|
| 894 | !!---------------------------------------------------------------------- |
|---|
| 895 | INTEGER , INTENT(in) :: kt ! ocean time-step |
|---|
| 896 | CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag |
|---|
| 897 | !!---------------------------------------------------------------------- |
|---|
| 898 | ! |
|---|
| 899 | IF( TRIM(cdrw) == 'READ' ) THEN ! Read/initialise |
|---|
| 900 | ! ! --------------- |
|---|
| 901 | IF( ln_rstart .AND. ln_bt_fw .AND. (.NOT.l_1st_euler) ) THEN !* Read the restart file |
|---|
| 902 | IF(lrxios) CALL iom_swap( TRIM(crxios_context) |
|---|
| 903 | CALL iom_get( numror, jpdom_auto, 'ub2_b' , ub2_b (:,:), cd_type = 'U', psgn = -1._wp, ldxios = lrxios ) |
|---|
| 904 | CALL iom_get( numror, jpdom_auto, 'vb2_b' , vb2_b (:,:), cd_type = 'V', psgn = -1._wp, ldxios = lrxios ) |
|---|
| 905 | CALL iom_get( numror, jpdom_auto, 'un_bf' , un_bf (:,:), cd_type = 'U', psgn = -1._wp, ldxios = lrxios ) |
|---|
| 906 | CALL iom_get( numror, jpdom_auto, 'vn_bf' , vn_bf (:,:), cd_type = 'V', psgn = -1._wp, ldxios = lrxios ) |
|---|
| 907 | IF( .NOT.ln_bt_av ) THEN |
|---|
| 908 | CALL iom_get( numror, jpdom_auto, 'sshbb_e' , sshbb_e(:,:), cd_type = 'T', psgn = 1._wp, ldxios = lrxios ) |
|---|
| 909 | CALL iom_get( numror, jpdom_auto, 'ubb_e' , ubb_e(:,:), cd_type = 'U', psgn = -1._wp, ldxios = lrxios ) |
|---|
| 910 | CALL iom_get( numror, jpdom_auto, 'vbb_e' , vbb_e(:,:), cd_type = 'V', psgn = -1._wp, ldxios = lrxios ) |
|---|
| 911 | CALL iom_get( numror, jpdom_auto, 'sshb_e' , sshb_e(:,:), cd_type = 'T', psgn = 1._wp, ldxios = lrxios ) |
|---|
| 912 | CALL iom_get( numror, jpdom_auto, 'ub_e' , ub_e(:,:), cd_type = 'U', psgn = -1._wp, ldxios = lrxios ) |
|---|
| 913 | CALL iom_get( numror, jpdom_auto, 'vb_e' , vb_e(:,:), cd_type = 'V', psgn = -1._wp, ldxios = lrxios ) |
|---|
| 914 | ENDIF |
|---|
| 915 | #if defined key_agrif |
|---|
| 916 | ! Read time integrated fluxes |
|---|
| 917 | IF ( .NOT.Agrif_Root() ) THEN |
|---|
| 918 | CALL iom_get( numror, jpdom_auto, 'ub2_i_b' , ub2_i_b(:,:), cd_type = 'U', psgn = -1._wp, ldxios = lrxios ) |
|---|
| 919 | CALL iom_get( numror, jpdom_auto, 'vb2_i_b' , vb2_i_b(:,:), cd_type = 'V', psgn = -1._wp, ldxios = lrxios ) |
|---|
| 920 | ENDIF |
|---|
| 921 | #endif |
|---|
| 922 | IF(lrxios) CALL iom_swap( TRIM(cxios_context) ) |
|---|
| 923 | ELSE !* Start from rest |
|---|
| 924 | IF(lwp) WRITE(numout,*) |
|---|
| 925 | IF(lwp) WRITE(numout,*) ' ==>>> start from rest: set barotropic values to 0' |
|---|
| 926 | ub2_b (:,:) = 0._wp ; vb2_b (:,:) = 0._wp ! used in the 1st interpol of agrif |
|---|
| 927 | un_adv(:,:) = 0._wp ; vn_adv(:,:) = 0._wp ! used in the 1st interpol of agrif |
|---|
| 928 | un_bf (:,:) = 0._wp ; vn_bf (:,:) = 0._wp ! used in the 1st update of agrif |
|---|
| 929 | #if defined key_agrif |
|---|
| 930 | IF ( .NOT.Agrif_Root() ) THEN |
|---|
| 931 | ub2_i_b(:,:) = 0._wp ; vb2_i_b(:,:) = 0._wp ! used in the 1st update of agrif |
|---|
| 932 | ENDIF |
|---|
| 933 | #endif |
|---|
| 934 | ENDIF |
|---|
| 935 | ! |
|---|
| 936 | ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN ! Create restart file |
|---|
| 937 | ! ! ------------------- |
|---|
| 938 | IF(lwp) WRITE(numout,*) '---- ts_rst ----' |
|---|
| 939 | IF( lwxios ) CALL iom_swap( cwxios_context ) |
|---|
| 940 | CALL iom_rstput( kt, nitrst, numrow, 'ub2_b' , ub2_b (:,:), ldxios = lwxios ) |
|---|
| 941 | CALL iom_rstput( kt, nitrst, numrow, 'vb2_b' , vb2_b (:,:), ldxios = lwxios ) |
|---|
| 942 | CALL iom_rstput( kt, nitrst, numrow, 'un_bf' , un_bf (:,:), ldxios = lwxios ) |
|---|
| 943 | CALL iom_rstput( kt, nitrst, numrow, 'vn_bf' , vn_bf (:,:), ldxios = lwxios ) |
|---|
| 944 | ! |
|---|
| 945 | IF (.NOT.ln_bt_av) THEN |
|---|
| 946 | CALL iom_rstput( kt, nitrst, numrow, 'sshbb_e' , sshbb_e(:,:), ldxios = lwxios ) |
|---|
| 947 | CALL iom_rstput( kt, nitrst, numrow, 'ubb_e' , ubb_e(:,:), ldxios = lwxios ) |
|---|
| 948 | CALL iom_rstput( kt, nitrst, numrow, 'vbb_e' , vbb_e(:,:), ldxios = lwxios ) |
|---|
| 949 | CALL iom_rstput( kt, nitrst, numrow, 'sshb_e' , sshb_e(:,:), ldxios = lwxios ) |
|---|
| 950 | CALL iom_rstput( kt, nitrst, numrow, 'ub_e' , ub_e(:,:), ldxios = lwxios ) |
|---|
| 951 | CALL iom_rstput( kt, nitrst, numrow, 'vb_e' , vb_e(:,:), ldxios = lwxios ) |
|---|
| 952 | ENDIF |
|---|
| 953 | #if defined key_agrif |
|---|
| 954 | ! Save time integrated fluxes |
|---|
| 955 | IF ( .NOT.Agrif_Root() ) THEN |
|---|
| 956 | CALL iom_rstput( kt, nitrst, numrow, 'ub2_i_b' , ub2_i_b(:,:), ldxios = lwxios ) |
|---|
| 957 | CALL iom_rstput( kt, nitrst, numrow, 'vb2_i_b' , vb2_i_b(:,:), ldxios = lwxios ) |
|---|
| 958 | ENDIF |
|---|
| 959 | #endif |
|---|
| 960 | IF( lwxios ) CALL iom_swap( cxios_context ) |
|---|
| 961 | ENDIF |
|---|
| 962 | ! |
|---|
| 963 | END SUBROUTINE ts_rst |
|---|
| 964 | |
|---|
| 965 | |
|---|
| 966 | SUBROUTINE dyn_spg_ts_init |
|---|
| 967 | !!--------------------------------------------------------------------- |
|---|
| 968 | !! *** ROUTINE dyn_spg_ts_init *** |
|---|
| 969 | !! |
|---|
| 970 | !! ** Purpose : Set time splitting options |
|---|
| 971 | !!---------------------------------------------------------------------- |
|---|
| 972 | INTEGER :: ji ,jj ! dummy loop indices |
|---|
| 973 | REAL(wp) :: zxr2, zyr2, zcmax ! local scalar |
|---|
| 974 | REAL(wp), DIMENSION(jpi,jpj) :: zcu |
|---|
| 975 | !!---------------------------------------------------------------------- |
|---|
| 976 | ! |
|---|
| 977 | ! Max courant number for ext. grav. waves |
|---|
| 978 | ! |
|---|
| 979 | DO_2D( 0, 0, 0, 0 ) |
|---|
| 980 | zxr2 = r1_e1t(ji,jj) * r1_e1t(ji,jj) |
|---|
| 981 | zyr2 = r1_e2t(ji,jj) * r1_e2t(ji,jj) |
|---|
| 982 | zcu(ji,jj) = SQRT( grav * MAX(ht_0(ji,jj),0._wp) * (zxr2 + zyr2) ) |
|---|
| 983 | END_2D |
|---|
| 984 | ! |
|---|
| 985 | zcmax = MAXVAL( zcu(Nis0:Nie0,Njs0:Nje0) ) |
|---|
| 986 | CALL mpp_max( 'dynspg_ts', zcmax ) |
|---|
| 987 | |
|---|
| 988 | ! Estimate number of iterations to satisfy a max courant number= rn_bt_cmax |
|---|
| 989 | IF( ln_bt_auto ) nn_e = CEILING( rn_Dt / rn_bt_cmax * zcmax) |
|---|
| 990 | |
|---|
| 991 | rDt_e = rn_Dt / REAL( nn_e , wp ) |
|---|
| 992 | zcmax = zcmax * rDt_e |
|---|
| 993 | ! Print results |
|---|
| 994 | IF(lwp) WRITE(numout,*) |
|---|
| 995 | IF(lwp) WRITE(numout,*) 'dyn_spg_ts_init : split-explicit free surface' |
|---|
| 996 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~' |
|---|
| 997 | IF( ln_bt_auto ) THEN |
|---|
| 998 | IF(lwp) WRITE(numout,*) ' ln_ts_auto =.true. Automatically set nn_e ' |
|---|
| 999 | IF(lwp) WRITE(numout,*) ' Max. courant number allowed: ', rn_bt_cmax |
|---|
| 1000 | ELSE |
|---|
| 1001 | IF(lwp) WRITE(numout,*) ' ln_ts_auto=.false.: Use nn_e in namelist nn_e = ', nn_e |
|---|
| 1002 | ENDIF |
|---|
| 1003 | |
|---|
| 1004 | IF(ln_bt_av) THEN |
|---|
| 1005 | IF(lwp) WRITE(numout,*) ' ln_bt_av =.true. ==> Time averaging over nn_e time steps is on ' |
|---|
| 1006 | ELSE |
|---|
| 1007 | IF(lwp) WRITE(numout,*) ' ln_bt_av =.false. => No time averaging of barotropic variables ' |
|---|
| 1008 | ENDIF |
|---|
| 1009 | ! |
|---|
| 1010 | ! |
|---|
| 1011 | IF(ln_bt_fw) THEN |
|---|
| 1012 | IF(lwp) WRITE(numout,*) ' ln_bt_fw=.true. => Forward integration of barotropic variables ' |
|---|
| 1013 | ELSE |
|---|
| 1014 | IF(lwp) WRITE(numout,*) ' ln_bt_fw =.false.=> Centred integration of barotropic variables ' |
|---|
| 1015 | ENDIF |
|---|
| 1016 | ! |
|---|
| 1017 | #if defined key_agrif |
|---|
| 1018 | ! Restrict the use of Agrif to the forward case only |
|---|
| 1019 | !!! IF( .NOT.ln_bt_fw .AND. .NOT.Agrif_Root() ) CALL ctl_stop( 'AGRIF not implemented if ln_bt_fw=.FALSE.' ) |
|---|
| 1020 | #endif |
|---|
| 1021 | ! |
|---|
| 1022 | IF(lwp) WRITE(numout,*) ' Time filter choice, nn_bt_flt: ', nn_bt_flt |
|---|
| 1023 | SELECT CASE ( nn_bt_flt ) |
|---|
| 1024 | CASE( 0 ) ; IF(lwp) WRITE(numout,*) ' Dirac' |
|---|
| 1025 | CASE( 1 ) ; IF(lwp) WRITE(numout,*) ' Boxcar: width = nn_e' |
|---|
| 1026 | CASE( 2 ) ; IF(lwp) WRITE(numout,*) ' Boxcar: width = 2*nn_e' |
|---|
| 1027 | CASE DEFAULT ; CALL ctl_stop( 'unrecognised value for nn_bt_flt: should 0,1, or 2' ) |
|---|
| 1028 | END SELECT |
|---|
| 1029 | ! |
|---|
| 1030 | IF(lwp) WRITE(numout,*) ' ' |
|---|
| 1031 | IF(lwp) WRITE(numout,*) ' nn_e = ', nn_e |
|---|
| 1032 | IF(lwp) WRITE(numout,*) ' Barotropic time step [s] is :', rDt_e |
|---|
| 1033 | IF(lwp) WRITE(numout,*) ' Maximum Courant number is :', zcmax |
|---|
| 1034 | ! |
|---|
| 1035 | IF(lwp) WRITE(numout,*) ' Time diffusion parameter rn_bt_alpha: ', rn_bt_alpha |
|---|
| 1036 | IF ((ln_bt_av.AND.nn_bt_flt/=0).AND.(rn_bt_alpha>0._wp)) THEN |
|---|
| 1037 | CALL ctl_stop( 'dynspg_ts ERROR: if rn_bt_alpha > 0, remove temporal averaging' ) |
|---|
| 1038 | ENDIF |
|---|
| 1039 | ! |
|---|
| 1040 | IF( .NOT.ln_bt_av .AND. .NOT.ln_bt_fw ) THEN |
|---|
| 1041 | CALL ctl_stop( 'dynspg_ts ERROR: No time averaging => only forward integration is possible' ) |
|---|
| 1042 | ENDIF |
|---|
| 1043 | IF( zcmax>0.9_wp ) THEN |
|---|
| 1044 | CALL ctl_stop( 'dynspg_ts ERROR: Maximum Courant number is greater than 0.9: Inc. nn_e !' ) |
|---|
| 1045 | ENDIF |
|---|
| 1046 | ! |
|---|
| 1047 | ! ! Allocate time-splitting arrays |
|---|
| 1048 | IF( dyn_spg_ts_alloc() /= 0 ) CALL ctl_stop('STOP', 'dyn_spg_init: failed to allocate dynspg_ts arrays' ) |
|---|
| 1049 | ! |
|---|
| 1050 | ! ! read restart when needed |
|---|
| 1051 | CALL ts_rst( nit000, 'READ' ) |
|---|
| 1052 | ! |
|---|
| 1053 | IF( lwxios ) THEN |
|---|
| 1054 | ! define variables in restart file when writing with XIOS |
|---|
| 1055 | CALL iom_set_rstw_var_active('ub2_b') |
|---|
| 1056 | CALL iom_set_rstw_var_active('vb2_b') |
|---|
| 1057 | CALL iom_set_rstw_var_active('un_bf') |
|---|
| 1058 | CALL iom_set_rstw_var_active('vn_bf') |
|---|
| 1059 | ! |
|---|
| 1060 | IF (.NOT.ln_bt_av) THEN |
|---|
| 1061 | CALL iom_set_rstw_var_active('sshbb_e') |
|---|
| 1062 | CALL iom_set_rstw_var_active('ubb_e') |
|---|
| 1063 | CALL iom_set_rstw_var_active('vbb_e') |
|---|
| 1064 | CALL iom_set_rstw_var_active('sshb_e') |
|---|
| 1065 | CALL iom_set_rstw_var_active('ub_e') |
|---|
| 1066 | CALL iom_set_rstw_var_active('vb_e') |
|---|
| 1067 | ENDIF |
|---|
| 1068 | #if defined key_agrif |
|---|
| 1069 | ! Save time integrated fluxes |
|---|
| 1070 | IF ( .NOT.Agrif_Root() ) THEN |
|---|
| 1071 | CALL iom_set_rstw_var_active('ub2_i_b') |
|---|
| 1072 | CALL iom_set_rstw_var_active('vb2_i_b') |
|---|
| 1073 | ENDIF |
|---|
| 1074 | #endif |
|---|
| 1075 | ENDIF |
|---|
| 1076 | ! |
|---|
| 1077 | END SUBROUTINE dyn_spg_ts_init |
|---|
| 1078 | |
|---|
| 1079 | |
|---|
| 1080 | SUBROUTINE dyn_cor_2D_init( Kmm ) |
|---|
| 1081 | !!--------------------------------------------------------------------- |
|---|
| 1082 | !! *** ROUTINE dyn_cor_2D_init *** |
|---|
| 1083 | !! |
|---|
| 1084 | !! ** Purpose : Set time splitting options |
|---|
| 1085 | !! Set arrays to remove/compute coriolis trend. |
|---|
| 1086 | !! Do it once during initialization if volume is fixed, else at each long time step. |
|---|
| 1087 | !! Note that these arrays are also used during barotropic loop. These are however frozen |
|---|
| 1088 | !! although they should be updated in the variable volume case. Not a big approximation. |
|---|
| 1089 | !! To remove this approximation, copy lines below inside barotropic loop |
|---|
| 1090 | !! and update depths at T-F points (ht and zhf resp.) at each barotropic time step |
|---|
| 1091 | !! |
|---|
| 1092 | !! Compute zwz = f / ( height of the water colomn ) |
|---|
| 1093 | !!---------------------------------------------------------------------- |
|---|
| 1094 | INTEGER, INTENT(in) :: Kmm ! Time index |
|---|
| 1095 | INTEGER :: ji ,jj, jk ! dummy loop indices |
|---|
| 1096 | REAL(wp) :: z1_ht |
|---|
| 1097 | REAL(wp), DIMENSION(jpi,jpj) :: zhf |
|---|
| 1098 | !!---------------------------------------------------------------------- |
|---|
| 1099 | ! |
|---|
| 1100 | SELECT CASE( nvor_scheme ) |
|---|
| 1101 | CASE( np_EEN ) != EEN scheme using e3f energy & enstrophy scheme |
|---|
| 1102 | SELECT CASE( nn_een_e3f ) !* ff_f/e3 at F-point |
|---|
| 1103 | CASE ( 0 ) ! original formulation (masked averaging of e3t divided by 4) |
|---|
| 1104 | DO_2D( 1, 0, 1, 0 ) |
|---|
| 1105 | zwz(ji,jj) = ( ht(ji ,jj+1) + ht(ji+1,jj+1) + & |
|---|
| 1106 | & ht(ji ,jj ) + ht(ji+1,jj ) ) * 0.25_wp |
|---|
| 1107 | IF( zwz(ji,jj) /= 0._wp ) zwz(ji,jj) = ff_f(ji,jj) / zwz(ji,jj) |
|---|
| 1108 | END_2D |
|---|
| 1109 | CASE ( 1 ) ! new formulation (masked averaging of e3t divided by the sum of mask) |
|---|
| 1110 | DO_2D( 1, 0, 1, 0 ) |
|---|
| 1111 | zwz(ji,jj) = ( ht (ji ,jj+1) + ht (ji+1,jj+1) & |
|---|
| 1112 | & + ht (ji ,jj ) + ht (ji+1,jj ) ) & |
|---|
| 1113 | & / ( MAX( 1._wp, ssmask(ji ,jj+1) + ssmask(ji+1,jj+1) & |
|---|
| 1114 | & + ssmask(ji ,jj ) + ssmask(ji+1,jj ) ) ) |
|---|
| 1115 | IF( zwz(ji,jj) /= 0._wp ) zwz(ji,jj) = ff_f(ji,jj) / zwz(ji,jj) |
|---|
| 1116 | END_2D |
|---|
| 1117 | END SELECT |
|---|
| 1118 | CALL lbc_lnk( 'dynspg_ts', zwz, 'F', 1._wp ) |
|---|
| 1119 | ! |
|---|
| 1120 | ftne(1,:) = 0._wp ; ftnw(1,:) = 0._wp ; ftse(1,:) = 0._wp ; ftsw(1,:) = 0._wp |
|---|
| 1121 | DO_2D( 0, 1, 0, 1 ) |
|---|
| 1122 | ftne(ji,jj) = zwz(ji-1,jj ) + zwz(ji ,jj ) + zwz(ji ,jj-1) |
|---|
| 1123 | ftnw(ji,jj) = zwz(ji-1,jj-1) + zwz(ji-1,jj ) + zwz(ji ,jj ) |
|---|
| 1124 | ftse(ji,jj) = zwz(ji ,jj ) + zwz(ji ,jj-1) + zwz(ji-1,jj-1) |
|---|
| 1125 | ftsw(ji,jj) = zwz(ji ,jj-1) + zwz(ji-1,jj-1) + zwz(ji-1,jj ) |
|---|
| 1126 | END_2D |
|---|
| 1127 | ! |
|---|
| 1128 | CASE( np_EET ) != EEN scheme using e3t energy conserving scheme |
|---|
| 1129 | ftne(1,:) = 0._wp ; ftnw(1,:) = 0._wp ; ftse(1,:) = 0._wp ; ftsw(1,:) = 0._wp |
|---|
| 1130 | DO_2D( 0, 1, 0, 1 ) |
|---|
| 1131 | z1_ht = ssmask(ji,jj) / ( ht(ji,jj) + 1._wp - ssmask(ji,jj) ) |
|---|
| 1132 | ftne(ji,jj) = ( ff_f(ji-1,jj ) + ff_f(ji ,jj ) + ff_f(ji ,jj-1) ) * z1_ht |
|---|
| 1133 | ftnw(ji,jj) = ( ff_f(ji-1,jj-1) + ff_f(ji-1,jj ) + ff_f(ji ,jj ) ) * z1_ht |
|---|
| 1134 | ftse(ji,jj) = ( ff_f(ji ,jj ) + ff_f(ji ,jj-1) + ff_f(ji-1,jj-1) ) * z1_ht |
|---|
| 1135 | ftsw(ji,jj) = ( ff_f(ji ,jj-1) + ff_f(ji-1,jj-1) + ff_f(ji-1,jj ) ) * z1_ht |
|---|
| 1136 | END_2D |
|---|
| 1137 | ! |
|---|
| 1138 | CASE( np_ENE, np_ENS , np_MIX ) != all other schemes (ENE, ENS, MIX) except ENT ! |
|---|
| 1139 | ! |
|---|
| 1140 | zwz(:,:) = 0._wp |
|---|
| 1141 | zhf(:,:) = 0._wp |
|---|
| 1142 | |
|---|
| 1143 | !!gm assume 0 in both cases (which is almost surely WRONG ! ) as hvatf has been removed |
|---|
| 1144 | !!gm A priori a better value should be something like : |
|---|
| 1145 | !!gm zhf(i,j) = masked sum of ht(i,j) , ht(i+1,j) , ht(i,j+1) , (i+1,j+1) |
|---|
| 1146 | !!gm divided by the sum of the corresponding mask |
|---|
| 1147 | !!gm |
|---|
| 1148 | !! |
|---|
| 1149 | IF( .NOT.ln_sco ) THEN |
|---|
| 1150 | |
|---|
| 1151 | !!gm agree the JC comment : this should be done in a much clear way |
|---|
| 1152 | |
|---|
| 1153 | ! JC: It not clear yet what should be the depth at f-points over land in z-coordinate case |
|---|
| 1154 | ! Set it to zero for the time being |
|---|
| 1155 | ! IF( rn_hmin < 0._wp ) THEN ; jk = - INT( rn_hmin ) ! from a nb of level |
|---|
| 1156 | ! ELSE ; jk = MINLOC( gdepw_0, mask = gdepw_0 > rn_hmin, dim = 1 ) ! from a depth |
|---|
| 1157 | ! ENDIF |
|---|
| 1158 | ! zhf(:,:) = gdepw_0(:,:,jk+1) |
|---|
| 1159 | ! |
|---|
| 1160 | ELSE |
|---|
| 1161 | ! |
|---|
| 1162 | !zhf(:,:) = hbatf(:,:) |
|---|
| 1163 | DO_2D( 1, 0, 1, 0 ) |
|---|
| 1164 | zhf(ji,jj) = ( ht_0 (ji,jj ) + ht_0 (ji+1,jj ) & |
|---|
| 1165 | & + ht_0 (ji,jj+1) + ht_0 (ji+1,jj+1) ) & |
|---|
| 1166 | & / MAX( ssmask(ji,jj ) + ssmask(ji+1,jj ) & |
|---|
| 1167 | & + ssmask(ji,jj+1) + ssmask(ji+1,jj+1) , 1._wp ) |
|---|
| 1168 | END_2D |
|---|
| 1169 | ENDIF |
|---|
| 1170 | ! |
|---|
| 1171 | DO jj = 1, jpjm1 |
|---|
| 1172 | zhf(:,jj) = zhf(:,jj) * (1._wp- umask(:,jj,1) * umask(:,jj+1,1)) |
|---|
| 1173 | END DO |
|---|
| 1174 | ! |
|---|
| 1175 | DO jk = 1, jpkm1 |
|---|
| 1176 | DO jj = 1, jpjm1 |
|---|
| 1177 | zhf(:,jj) = zhf(:,jj) + e3f(:,jj,jk) * umask(:,jj,jk) * umask(:,jj+1,jk) |
|---|
| 1178 | END DO |
|---|
| 1179 | END DO |
|---|
| 1180 | CALL lbc_lnk( 'dynspg_ts', zhf, 'F', 1._wp ) |
|---|
| 1181 | ! JC: TBC. hf should be greater than 0 |
|---|
| 1182 | DO_2D( 1, 1, 1, 1 ) |
|---|
| 1183 | IF( zhf(ji,jj) /= 0._wp ) zwz(ji,jj) = 1._wp / zhf(ji,jj) |
|---|
| 1184 | END_2D |
|---|
| 1185 | zwz(:,:) = ff_f(:,:) * zwz(:,:) |
|---|
| 1186 | END SELECT |
|---|
| 1187 | |
|---|
| 1188 | END SUBROUTINE dyn_cor_2d_init |
|---|
| 1189 | |
|---|
| 1190 | |
|---|
| 1191 | |
|---|
| 1192 | SUBROUTINE dyn_cor_2d( pht, phu, phv, punb, pvnb, zhU, zhV, zu_trd, zv_trd ) |
|---|
| 1193 | !!--------------------------------------------------------------------- |
|---|
| 1194 | !! *** ROUTINE dyn_cor_2d *** |
|---|
| 1195 | !! |
|---|
| 1196 | !! ** Purpose : Compute u and v coriolis trends |
|---|
| 1197 | !!---------------------------------------------------------------------- |
|---|
| 1198 | INTEGER :: ji ,jj ! dummy loop indices |
|---|
| 1199 | REAL(wp) :: zx1, zx2, zy1, zy2, z1_hu, z1_hv ! - - |
|---|
| 1200 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pht, phu, phv, punb, pvnb, zhU, zhV |
|---|
| 1201 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: zu_trd, zv_trd |
|---|
| 1202 | !!---------------------------------------------------------------------- |
|---|
| 1203 | SELECT CASE( nvor_scheme ) |
|---|
| 1204 | CASE( np_ENT ) ! enstrophy conserving scheme (f-point) |
|---|
| 1205 | DO_2D( 0, 0, 0, 0 ) |
|---|
| 1206 | z1_hu = ssumask(ji,jj) / ( phu(ji,jj) + 1._wp - ssumask(ji,jj) ) |
|---|
| 1207 | z1_hv = ssvmask(ji,jj) / ( phv(ji,jj) + 1._wp - ssvmask(ji,jj) ) |
|---|
| 1208 | zu_trd(ji,jj) = + r1_4 * r1_e1e2u(ji,jj) * z1_hu & |
|---|
| 1209 | & * ( e1e2t(ji+1,jj)*pht(ji+1,jj)*ff_t(ji+1,jj) * ( pvnb(ji+1,jj) + pvnb(ji+1,jj-1) ) & |
|---|
| 1210 | & + e1e2t(ji ,jj)*pht(ji ,jj)*ff_t(ji ,jj) * ( pvnb(ji ,jj) + pvnb(ji ,jj-1) ) ) |
|---|
| 1211 | ! |
|---|
| 1212 | zv_trd(ji,jj) = - r1_4 * r1_e1e2v(ji,jj) * z1_hv & |
|---|
| 1213 | & * ( e1e2t(ji,jj+1)*pht(ji,jj+1)*ff_t(ji,jj+1) * ( punb(ji,jj+1) + punb(ji-1,jj+1) ) & |
|---|
| 1214 | & + e1e2t(ji,jj )*pht(ji,jj )*ff_t(ji,jj ) * ( punb(ji,jj ) + punb(ji-1,jj ) ) ) |
|---|
| 1215 | END_2D |
|---|
| 1216 | ! |
|---|
| 1217 | CASE( np_ENE , np_MIX ) ! energy conserving scheme (t-point) ENE or MIX |
|---|
| 1218 | DO_2D( 0, 0, 0, 0 ) |
|---|
| 1219 | zy1 = ( zhV(ji,jj-1) + zhV(ji+1,jj-1) ) * r1_e1u(ji,jj) |
|---|
| 1220 | zy2 = ( zhV(ji,jj ) + zhV(ji+1,jj ) ) * r1_e1u(ji,jj) |
|---|
| 1221 | zx1 = ( zhU(ji-1,jj) + zhU(ji-1,jj+1) ) * r1_e2v(ji,jj) |
|---|
| 1222 | zx2 = ( zhU(ji ,jj) + zhU(ji ,jj+1) ) * r1_e2v(ji,jj) |
|---|
| 1223 | ! energy conserving formulation for planetary vorticity term |
|---|
| 1224 | zu_trd(ji,jj) = r1_4 * ( zwz(ji ,jj-1) * zy1 + zwz(ji,jj) * zy2 ) |
|---|
| 1225 | zv_trd(ji,jj) = - r1_4 * ( zwz(ji-1,jj ) * zx1 + zwz(ji,jj) * zx2 ) |
|---|
| 1226 | END_2D |
|---|
| 1227 | ! |
|---|
| 1228 | CASE( np_ENS ) ! enstrophy conserving scheme (f-point) |
|---|
| 1229 | DO_2D( 0, 0, 0, 0 ) |
|---|
| 1230 | zy1 = r1_8 * ( zhV(ji ,jj-1) + zhV(ji+1,jj-1) & |
|---|
| 1231 | & + zhV(ji ,jj ) + zhV(ji+1,jj ) ) * r1_e1u(ji,jj) |
|---|
| 1232 | zx1 = - r1_8 * ( zhU(ji-1,jj ) + zhU(ji-1,jj+1) & |
|---|
| 1233 | & + zhU(ji ,jj ) + zhU(ji ,jj+1) ) * r1_e2v(ji,jj) |
|---|
| 1234 | zu_trd(ji,jj) = zy1 * ( zwz(ji ,jj-1) + zwz(ji,jj) ) |
|---|
| 1235 | zv_trd(ji,jj) = zx1 * ( zwz(ji-1,jj ) + zwz(ji,jj) ) |
|---|
| 1236 | END_2D |
|---|
| 1237 | ! |
|---|
| 1238 | CASE( np_EET , np_EEN ) ! energy & enstrophy scheme (using e3t or e3f) |
|---|
| 1239 | DO_2D( 0, 0, 0, 0 ) |
|---|
| 1240 | zu_trd(ji,jj) = + r1_12 * r1_e1u(ji,jj) * ( ftne(ji,jj ) * zhV(ji ,jj ) & |
|---|
| 1241 | & + ftnw(ji+1,jj) * zhV(ji+1,jj ) & |
|---|
| 1242 | & + ftse(ji,jj ) * zhV(ji ,jj-1) & |
|---|
| 1243 | & + ftsw(ji+1,jj) * zhV(ji+1,jj-1) ) |
|---|
| 1244 | zv_trd(ji,jj) = - r1_12 * r1_e2v(ji,jj) * ( ftsw(ji,jj+1) * zhU(ji-1,jj+1) & |
|---|
| 1245 | & + ftse(ji,jj+1) * zhU(ji ,jj+1) & |
|---|
| 1246 | & + ftnw(ji,jj ) * zhU(ji-1,jj ) & |
|---|
| 1247 | & + ftne(ji,jj ) * zhU(ji ,jj ) ) |
|---|
| 1248 | END_2D |
|---|
| 1249 | ! |
|---|
| 1250 | END SELECT |
|---|
| 1251 | ! |
|---|
| 1252 | END SUBROUTINE dyn_cor_2D |
|---|
| 1253 | |
|---|
| 1254 | |
|---|
| 1255 | SUBROUTINE wad_tmsk( pssh, ptmsk ) |
|---|
| 1256 | !!---------------------------------------------------------------------- |
|---|
| 1257 | !! *** ROUTINE wad_lmt *** |
|---|
| 1258 | !! |
|---|
| 1259 | !! ** Purpose : set wetting & drying mask at tracer points |
|---|
| 1260 | !! for the current barotropic sub-step |
|---|
| 1261 | !! |
|---|
| 1262 | !! ** Method : ??? |
|---|
| 1263 | !! |
|---|
| 1264 | !! ** Action : ptmsk : wetting & drying t-mask |
|---|
| 1265 | !!---------------------------------------------------------------------- |
|---|
| 1266 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pssh ! |
|---|
| 1267 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: ptmsk ! |
|---|
| 1268 | ! |
|---|
| 1269 | INTEGER :: ji, jj ! dummy loop indices |
|---|
| 1270 | !!---------------------------------------------------------------------- |
|---|
| 1271 | ! |
|---|
| 1272 | IF( ln_wd_dl_rmp ) THEN |
|---|
| 1273 | DO_2D( 1, 1, 1, 1 ) |
|---|
| 1274 | IF ( pssh(ji,jj) + ht_0(ji,jj) > 2._wp * rn_wdmin1 ) THEN |
|---|
| 1275 | ! IF ( pssh(ji,jj) + ht_0(ji,jj) > rn_wdmin2 ) THEN |
|---|
| 1276 | ptmsk(ji,jj) = 1._wp |
|---|
| 1277 | ELSEIF( pssh(ji,jj) + ht_0(ji,jj) > rn_wdmin1 ) THEN |
|---|
| 1278 | ptmsk(ji,jj) = TANH( 50._wp*( ( pssh(ji,jj) + ht_0(ji,jj) - rn_wdmin1 )*r_rn_wdmin1) ) |
|---|
| 1279 | ELSE |
|---|
| 1280 | ptmsk(ji,jj) = 0._wp |
|---|
| 1281 | ENDIF |
|---|
| 1282 | END_2D |
|---|
| 1283 | ELSE |
|---|
| 1284 | DO_2D( 1, 1, 1, 1 ) |
|---|
| 1285 | IF ( pssh(ji,jj) + ht_0(ji,jj) > rn_wdmin1 ) THEN ; ptmsk(ji,jj) = 1._wp |
|---|
| 1286 | ELSE ; ptmsk(ji,jj) = 0._wp |
|---|
| 1287 | ENDIF |
|---|
| 1288 | END_2D |
|---|
| 1289 | ENDIF |
|---|
| 1290 | ! |
|---|
| 1291 | END SUBROUTINE wad_tmsk |
|---|
| 1292 | |
|---|
| 1293 | |
|---|
| 1294 | SUBROUTINE wad_Umsk( pTmsk, phU, phV, pu, pv, pUmsk, pVmsk ) |
|---|
| 1295 | !!---------------------------------------------------------------------- |
|---|
| 1296 | !! *** ROUTINE wad_lmt *** |
|---|
| 1297 | !! |
|---|
| 1298 | !! ** Purpose : set wetting & drying mask at tracer points |
|---|
| 1299 | !! for the current barotropic sub-step |
|---|
| 1300 | !! |
|---|
| 1301 | !! ** Method : ??? |
|---|
| 1302 | !! |
|---|
| 1303 | !! ** Action : ptmsk : wetting & drying t-mask |
|---|
| 1304 | !!---------------------------------------------------------------------- |
|---|
| 1305 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pTmsk ! W & D t-mask |
|---|
| 1306 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: phU, phV, pu, pv ! ocean velocities and transports |
|---|
| 1307 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: pUmsk, pVmsk ! W & D u- and v-mask |
|---|
| 1308 | ! |
|---|
| 1309 | INTEGER :: ji, jj ! dummy loop indices |
|---|
| 1310 | !!---------------------------------------------------------------------- |
|---|
| 1311 | ! |
|---|
| 1312 | DO_2D( 1, 1, 1, 0 ) |
|---|
| 1313 | IF ( phU(ji,jj) > 0._wp ) THEN ; pUmsk(ji,jj) = pTmsk(ji ,jj) |
|---|
| 1314 | ELSE ; pUmsk(ji,jj) = pTmsk(ji+1,jj) |
|---|
| 1315 | ENDIF |
|---|
| 1316 | phU(ji,jj) = pUmsk(ji,jj)*phU(ji,jj) |
|---|
| 1317 | pu (ji,jj) = pUmsk(ji,jj)*pu (ji,jj) |
|---|
| 1318 | END_2D |
|---|
| 1319 | ! |
|---|
| 1320 | DO_2D( 1, 0, 1, 1 ) |
|---|
| 1321 | IF ( phV(ji,jj) > 0._wp ) THEN ; pVmsk(ji,jj) = pTmsk(ji,jj ) |
|---|
| 1322 | ELSE ; pVmsk(ji,jj) = pTmsk(ji,jj+1) |
|---|
| 1323 | ENDIF |
|---|
| 1324 | phV(ji,jj) = pVmsk(ji,jj)*phV(ji,jj) |
|---|
| 1325 | pv (ji,jj) = pVmsk(ji,jj)*pv (ji,jj) |
|---|
| 1326 | END_2D |
|---|
| 1327 | ! |
|---|
| 1328 | END SUBROUTINE wad_Umsk |
|---|
| 1329 | |
|---|
| 1330 | |
|---|
| 1331 | SUBROUTINE wad_spg( pshn, zcpx, zcpy ) |
|---|
| 1332 | !!--------------------------------------------------------------------- |
|---|
| 1333 | !! *** ROUTINE wad_sp *** |
|---|
| 1334 | !! |
|---|
| 1335 | !! ** Purpose : |
|---|
| 1336 | !!---------------------------------------------------------------------- |
|---|
| 1337 | INTEGER :: ji ,jj ! dummy loop indices |
|---|
| 1338 | LOGICAL :: ll_tmp1, ll_tmp2 |
|---|
| 1339 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pshn |
|---|
| 1340 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: zcpx, zcpy |
|---|
| 1341 | !!---------------------------------------------------------------------- |
|---|
| 1342 | DO_2D( 0, 0, 0, 0 ) |
|---|
| 1343 | ll_tmp1 = MIN( pshn(ji,jj) , pshn(ji+1,jj) ) > & |
|---|
| 1344 | & MAX( -ht_0(ji,jj) , -ht_0(ji+1,jj) ) .AND. & |
|---|
| 1345 | & MAX( pshn(ji,jj) + ht_0(ji,jj) , pshn(ji+1,jj) + ht_0(ji+1,jj) ) & |
|---|
| 1346 | & > rn_wdmin1 + rn_wdmin2 |
|---|
| 1347 | ll_tmp2 = ( ABS( pshn(ji+1,jj) - pshn(ji ,jj)) > 1.E-12 ).AND.( & |
|---|
| 1348 | & MAX( pshn(ji,jj) , pshn(ji+1,jj) ) > & |
|---|
| 1349 | & MAX( -ht_0(ji,jj) , -ht_0(ji+1,jj) ) + rn_wdmin1 + rn_wdmin2 ) |
|---|
| 1350 | IF(ll_tmp1) THEN |
|---|
| 1351 | zcpx(ji,jj) = 1.0_wp |
|---|
| 1352 | ELSEIF(ll_tmp2) THEN |
|---|
| 1353 | ! no worries about pshn(ji+1,jj) - pshn(ji ,jj) = 0, it won't happen ! here |
|---|
| 1354 | zcpx(ji,jj) = ABS( (pshn(ji+1,jj) + ht_0(ji+1,jj) - pshn(ji,jj) - ht_0(ji,jj)) & |
|---|
| 1355 | & / (pshn(ji+1,jj) - pshn(ji ,jj)) ) |
|---|
| 1356 | zcpx(ji,jj) = max(min( zcpx(ji,jj) , 1.0_wp),0.0_wp) |
|---|
| 1357 | ELSE |
|---|
| 1358 | zcpx(ji,jj) = 0._wp |
|---|
| 1359 | ENDIF |
|---|
| 1360 | ! |
|---|
| 1361 | ll_tmp1 = MIN( pshn(ji,jj) , pshn(ji,jj+1) ) > & |
|---|
| 1362 | & MAX( -ht_0(ji,jj) , -ht_0(ji,jj+1) ) .AND. & |
|---|
| 1363 | & MAX( pshn(ji,jj) + ht_0(ji,jj) , pshn(ji,jj+1) + ht_0(ji,jj+1) ) & |
|---|
| 1364 | & > rn_wdmin1 + rn_wdmin2 |
|---|
| 1365 | ll_tmp2 = ( ABS( pshn(ji,jj) - pshn(ji,jj+1)) > 1.E-12 ).AND.( & |
|---|
| 1366 | & MAX( pshn(ji,jj) , pshn(ji,jj+1) ) > & |
|---|
| 1367 | & MAX( -ht_0(ji,jj) , -ht_0(ji,jj+1) ) + rn_wdmin1 + rn_wdmin2 ) |
|---|
| 1368 | |
|---|
| 1369 | IF(ll_tmp1) THEN |
|---|
| 1370 | zcpy(ji,jj) = 1.0_wp |
|---|
| 1371 | ELSE IF(ll_tmp2) THEN |
|---|
| 1372 | ! no worries about pshn(ji,jj+1) - pshn(ji,jj ) = 0, it won't happen ! here |
|---|
| 1373 | zcpy(ji,jj) = ABS( (pshn(ji,jj+1) + ht_0(ji,jj+1) - pshn(ji,jj) - ht_0(ji,jj)) & |
|---|
| 1374 | & / (pshn(ji,jj+1) - pshn(ji,jj )) ) |
|---|
| 1375 | zcpy(ji,jj) = MAX( 0._wp , MIN( zcpy(ji,jj) , 1.0_wp ) ) |
|---|
| 1376 | ELSE |
|---|
| 1377 | zcpy(ji,jj) = 0._wp |
|---|
| 1378 | ENDIF |
|---|
| 1379 | END_2D |
|---|
| 1380 | |
|---|
| 1381 | END SUBROUTINE wad_spg |
|---|
| 1382 | |
|---|
| 1383 | |
|---|
| 1384 | |
|---|
| 1385 | SUBROUTINE dyn_drg_init( Kbb, Kmm, puu, pvv, puu_b ,pvv_b, pu_RHSi, pv_RHSi, pCdU_u, pCdU_v ) |
|---|
| 1386 | !!---------------------------------------------------------------------- |
|---|
| 1387 | !! *** ROUTINE dyn_drg_init *** |
|---|
| 1388 | !! |
|---|
| 1389 | !! ** Purpose : - add the baroclinic top/bottom drag contribution to |
|---|
| 1390 | !! the baroclinic part of the barotropic RHS |
|---|
| 1391 | !! - compute the barotropic drag coefficients |
|---|
| 1392 | !! |
|---|
| 1393 | !! ** Method : computation done over the INNER domain only |
|---|
| 1394 | !!---------------------------------------------------------------------- |
|---|
| 1395 | INTEGER , INTENT(in ) :: Kbb, Kmm ! ocean time level indices |
|---|
| 1396 | REAL(wp), DIMENSION(jpi,jpj,jpk,jpt), INTENT(in ) :: puu, pvv ! ocean velocities and RHS of momentum equation |
|---|
| 1397 | REAL(wp), DIMENSION(jpi,jpj,jpt) , INTENT(in ) :: puu_b, pvv_b ! barotropic velocities at main time levels |
|---|
| 1398 | REAL(wp), DIMENSION(jpi,jpj) , INTENT(inout) :: pu_RHSi, pv_RHSi ! baroclinic part of the barotropic RHS |
|---|
| 1399 | REAL(wp), DIMENSION(jpi,jpj) , INTENT( out) :: pCdU_u , pCdU_v ! barotropic drag coefficients |
|---|
| 1400 | ! |
|---|
| 1401 | INTEGER :: ji, jj ! dummy loop indices |
|---|
| 1402 | INTEGER :: ikbu, ikbv, iktu, iktv |
|---|
| 1403 | REAL(wp) :: zztmp |
|---|
| 1404 | REAL(wp), DIMENSION(jpi,jpj) :: zu_i, zv_i |
|---|
| 1405 | !!---------------------------------------------------------------------- |
|---|
| 1406 | ! |
|---|
| 1407 | ! !== Set the barotropic drag coef. ==! |
|---|
| 1408 | ! |
|---|
| 1409 | IF( ln_isfcav ) THEN ! top+bottom friction (ocean cavities) |
|---|
| 1410 | |
|---|
| 1411 | DO_2D( 0, 0, 0, 0 ) |
|---|
| 1412 | pCdU_u(ji,jj) = r1_2*( rCdU_bot(ji+1,jj)+rCdU_bot(ji,jj) + rCdU_top(ji+1,jj)+rCdU_top(ji,jj) ) |
|---|
| 1413 | pCdU_v(ji,jj) = r1_2*( rCdU_bot(ji,jj+1)+rCdU_bot(ji,jj) + rCdU_top(ji,jj+1)+rCdU_top(ji,jj) ) |
|---|
| 1414 | END_2D |
|---|
| 1415 | ELSE ! bottom friction only |
|---|
| 1416 | DO_2D( 0, 0, 0, 0 ) |
|---|
| 1417 | pCdU_u(ji,jj) = r1_2*( rCdU_bot(ji+1,jj)+rCdU_bot(ji,jj) ) |
|---|
| 1418 | pCdU_v(ji,jj) = r1_2*( rCdU_bot(ji,jj+1)+rCdU_bot(ji,jj) ) |
|---|
| 1419 | END_2D |
|---|
| 1420 | ENDIF |
|---|
| 1421 | ! |
|---|
| 1422 | ! !== BOTTOM stress contribution from baroclinic velocities ==! |
|---|
| 1423 | ! |
|---|
| 1424 | IF( ln_bt_fw ) THEN ! FORWARD integration: use NOW bottom baroclinic velocities |
|---|
| 1425 | |
|---|
| 1426 | DO_2D( 0, 0, 0, 0 ) |
|---|
| 1427 | ikbu = mbku(ji,jj) |
|---|
| 1428 | ikbv = mbkv(ji,jj) |
|---|
| 1429 | zu_i(ji,jj) = puu(ji,jj,ikbu,Kmm) - puu_b(ji,jj,Kmm) |
|---|
| 1430 | zv_i(ji,jj) = pvv(ji,jj,ikbv,Kmm) - pvv_b(ji,jj,Kmm) |
|---|
| 1431 | END_2D |
|---|
| 1432 | ELSE ! CENTRED integration: use BEFORE bottom baroclinic velocities |
|---|
| 1433 | |
|---|
| 1434 | DO_2D( 0, 0, 0, 0 ) |
|---|
| 1435 | ikbu = mbku(ji,jj) |
|---|
| 1436 | ikbv = mbkv(ji,jj) |
|---|
| 1437 | zu_i(ji,jj) = puu(ji,jj,ikbu,Kbb) - puu_b(ji,jj,Kbb) |
|---|
| 1438 | zv_i(ji,jj) = pvv(ji,jj,ikbv,Kbb) - pvv_b(ji,jj,Kbb) |
|---|
| 1439 | END_2D |
|---|
| 1440 | ENDIF |
|---|
| 1441 | ! |
|---|
| 1442 | IF( ln_wd_il ) THEN ! W/D : use the "clipped" bottom friction !!gm explain WHY, please ! |
|---|
| 1443 | zztmp = -1._wp / rDt_e |
|---|
| 1444 | DO_2D( 0, 0, 0, 0 ) |
|---|
| 1445 | pu_RHSi(ji,jj) = pu_RHSi(ji,jj) + zu_i(ji,jj) * wdrampu(ji,jj) * MAX( & |
|---|
| 1446 | & r1_hu(ji,jj,Kmm) * r1_2*( rCdU_bot(ji+1,jj)+rCdU_bot(ji,jj) ) , zztmp ) |
|---|
| 1447 | pv_RHSi(ji,jj) = pv_RHSi(ji,jj) + zv_i(ji,jj) * wdrampv(ji,jj) * MAX( & |
|---|
| 1448 | & r1_hv(ji,jj,Kmm) * r1_2*( rCdU_bot(ji,jj+1)+rCdU_bot(ji,jj) ) , zztmp ) |
|---|
| 1449 | END_2D |
|---|
| 1450 | ELSE ! use "unclipped" drag (even if explicit friction is used in 3D calculation) |
|---|
| 1451 | |
|---|
| 1452 | DO_2D( 0, 0, 0, 0 ) |
|---|
| 1453 | pu_RHSi(ji,jj) = pu_RHSi(ji,jj) + r1_hu(ji,jj,Kmm) * r1_2*( rCdU_bot(ji+1,jj)+rCdU_bot(ji,jj) ) * zu_i(ji,jj) |
|---|
| 1454 | pv_RHSi(ji,jj) = pv_RHSi(ji,jj) + r1_hv(ji,jj,Kmm) * r1_2*( rCdU_bot(ji,jj+1)+rCdU_bot(ji,jj) ) * zv_i(ji,jj) |
|---|
| 1455 | END_2D |
|---|
| 1456 | END IF |
|---|
| 1457 | ! |
|---|
| 1458 | ! !== TOP stress contribution from baroclinic velocities ==! (no W/D case) |
|---|
| 1459 | ! |
|---|
| 1460 | IF( ln_isfcav ) THEN |
|---|
| 1461 | ! |
|---|
| 1462 | IF( ln_bt_fw ) THEN ! FORWARD integration: use NOW top baroclinic velocity |
|---|
| 1463 | |
|---|
| 1464 | DO_2D( 0, 0, 0, 0 ) |
|---|
| 1465 | iktu = miku(ji,jj) |
|---|
| 1466 | iktv = mikv(ji,jj) |
|---|
| 1467 | zu_i(ji,jj) = puu(ji,jj,iktu,Kmm) - puu_b(ji,jj,Kmm) |
|---|
| 1468 | zv_i(ji,jj) = pvv(ji,jj,iktv,Kmm) - pvv_b(ji,jj,Kmm) |
|---|
| 1469 | END_2D |
|---|
| 1470 | ELSE ! CENTRED integration: use BEFORE top baroclinic velocity |
|---|
| 1471 | |
|---|
| 1472 | DO_2D( 0, 0, 0, 0 ) |
|---|
| 1473 | iktu = miku(ji,jj) |
|---|
| 1474 | iktv = mikv(ji,jj) |
|---|
| 1475 | zu_i(ji,jj) = puu(ji,jj,iktu,Kbb) - puu_b(ji,jj,Kbb) |
|---|
| 1476 | zv_i(ji,jj) = pvv(ji,jj,iktv,Kbb) - pvv_b(ji,jj,Kbb) |
|---|
| 1477 | END_2D |
|---|
| 1478 | ENDIF |
|---|
| 1479 | ! |
|---|
| 1480 | ! ! use "unclipped" top drag (even if explicit friction is used in 3D calculation) |
|---|
| 1481 | |
|---|
| 1482 | DO_2D( 0, 0, 0, 0 ) |
|---|
| 1483 | pu_RHSi(ji,jj) = pu_RHSi(ji,jj) + r1_hu(ji,jj,Kmm) * r1_2*( rCdU_top(ji+1,jj)+rCdU_top(ji,jj) ) * zu_i(ji,jj) |
|---|
| 1484 | pv_RHSi(ji,jj) = pv_RHSi(ji,jj) + r1_hv(ji,jj,Kmm) * r1_2*( rCdU_top(ji,jj+1)+rCdU_top(ji,jj) ) * zv_i(ji,jj) |
|---|
| 1485 | END_2D |
|---|
| 1486 | ! |
|---|
| 1487 | ENDIF |
|---|
| 1488 | ! |
|---|
| 1489 | END SUBROUTINE dyn_drg_init |
|---|
| 1490 | |
|---|
| 1491 | SUBROUTINE ts_bck_interp( jn, ll_init, & ! <== in |
|---|
| 1492 | & za0, za1, za2, za3 ) ! ==> out |
|---|
| 1493 | !!---------------------------------------------------------------------- |
|---|
| 1494 | INTEGER ,INTENT(in ) :: jn ! index of sub time step |
|---|
| 1495 | LOGICAL ,INTENT(in ) :: ll_init ! |
|---|
| 1496 | REAL(wp),INTENT( out) :: za0, za1, za2, za3 ! Half-step back interpolation coefficient |
|---|
| 1497 | ! |
|---|
| 1498 | REAL(wp) :: zepsilon, zgamma ! - - |
|---|
| 1499 | !!---------------------------------------------------------------------- |
|---|
| 1500 | ! ! set Half-step back interpolation coefficient |
|---|
| 1501 | IF ( jn==1 .AND. ll_init ) THEN !* Forward-backward |
|---|
| 1502 | za0 = 1._wp |
|---|
| 1503 | za1 = 0._wp |
|---|
| 1504 | za2 = 0._wp |
|---|
| 1505 | za3 = 0._wp |
|---|
| 1506 | ELSEIF( jn==2 .AND. ll_init ) THEN !* AB2-AM3 Coefficients; bet=0 ; gam=-1/6 ; eps=1/12 |
|---|
| 1507 | za0 = 1.0833333333333_wp ! za0 = 1-gam-eps |
|---|
| 1508 | za1 =-0.1666666666666_wp ! za1 = gam |
|---|
| 1509 | za2 = 0.0833333333333_wp ! za2 = eps |
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| 1510 | za3 = 0._wp |
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| 1511 | ELSE !* AB3-AM4 Coefficients; bet=0.281105 ; eps=0.013 ; gam=0.0880 |
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| 1512 | IF( rn_bt_alpha == 0._wp ) THEN ! Time diffusion |
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| 1513 | za0 = 0.614_wp ! za0 = 1/2 + gam + 2*eps |
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| 1514 | za1 = 0.285_wp ! za1 = 1/2 - 2*gam - 3*eps |
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| 1515 | za2 = 0.088_wp ! za2 = gam |
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| 1516 | za3 = 0.013_wp ! za3 = eps |
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| 1517 | ELSE ! no time diffusion |
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| 1518 | zepsilon = 0.00976186_wp - 0.13451357_wp * rn_bt_alpha |
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| 1519 | zgamma = 0.08344500_wp - 0.51358400_wp * rn_bt_alpha |
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| 1520 | za0 = 0.5_wp + zgamma + 2._wp * rn_bt_alpha + 2._wp * zepsilon |
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| 1521 | za1 = 1._wp - za0 - zgamma - zepsilon |
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| 1522 | za2 = zgamma |
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| 1523 | za3 = zepsilon |
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| 1524 | ENDIF |
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| 1525 | ENDIF |
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| 1526 | END SUBROUTINE ts_bck_interp |
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| 1527 | |
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| 1528 | |
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| 1529 | !!====================================================================== |
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| 1530 | END MODULE dynspg_ts |
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