[825] | 1 | MODULE limtrp |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE limtrp *** |
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| 4 | !! LIM transport ice model : sea-ice advection/diffusion |
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| 5 | !!====================================================================== |
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[2715] | 6 | !! History : LIM-2 ! 2000-01 (M.A. Morales Maqueda, H. Goosse, and T. Fichefet) Original code |
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| 7 | !! 3.0 ! 2005-11 (M. Vancoppenolle) Multi-layer sea ice, salinity variations |
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| 8 | !! 4.0 ! 2011-02 (G. Madec) dynamical allocation |
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| 9 | !!---------------------------------------------------------------------- |
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[825] | 10 | #if defined key_lim3 |
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| 11 | !!---------------------------------------------------------------------- |
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[834] | 12 | !! 'key_lim3' LIM3 sea-ice model |
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[825] | 13 | !!---------------------------------------------------------------------- |
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| 14 | !! lim_trp : advection/diffusion process of sea ice |
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| 15 | !!---------------------------------------------------------------------- |
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[3625] | 16 | USE phycst ! physical constant |
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| 17 | USE dom_oce ! ocean domain |
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| 18 | USE sbc_oce ! ocean surface boundary condition |
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| 19 | USE par_ice ! ice parameter |
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| 20 | USE dom_ice ! ice domain |
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| 21 | USE ice ! ice variables |
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| 22 | USE limadv ! ice advection |
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| 23 | USE limhdf ! ice horizontal diffusion |
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| 24 | USE in_out_manager ! I/O manager |
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| 25 | USE lbclnk ! lateral boundary conditions -- MPP exchanges |
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| 26 | USE lib_mpp ! MPP library |
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| 27 | USE wrk_nemo ! work arrays |
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| 28 | USE prtctl ! Print control |
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| 29 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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[4161] | 30 | USE limvar ! clem for ice thickness correction |
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| 31 | USE timing ! Timing |
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[825] | 32 | |
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| 33 | IMPLICIT NONE |
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| 34 | PRIVATE |
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| 35 | |
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[2715] | 36 | PUBLIC lim_trp ! called by ice_step |
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[825] | 37 | |
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[2715] | 38 | REAL(wp) :: epsi06 = 1.e-06_wp ! constant values |
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| 39 | REAL(wp) :: epsi03 = 1.e-03_wp |
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[4161] | 40 | REAL(wp) :: epsi10 = 1.e-10_wp |
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[2715] | 41 | REAL(wp) :: epsi16 = 1.e-16_wp |
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[4161] | 42 | REAL(wp) :: epsi20 = 1.e-20_wp |
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[2715] | 43 | REAL(wp) :: rzero = 0._wp |
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| 44 | REAL(wp) :: rone = 1._wp |
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[825] | 45 | |
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[2777] | 46 | REAL(wp), SAVE, ALLOCATABLE, DIMENSION(:,:,:,:) :: zs0e |
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| 47 | |
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[825] | 48 | !! * Substitution |
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| 49 | # include "vectopt_loop_substitute.h90" |
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| 50 | !!---------------------------------------------------------------------- |
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[4161] | 51 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2011) |
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[1156] | 52 | !! $Id$ |
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[2715] | 53 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[825] | 54 | !!---------------------------------------------------------------------- |
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| 55 | CONTAINS |
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| 56 | |
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[921] | 57 | SUBROUTINE lim_trp( kt ) |
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[825] | 58 | !!------------------------------------------------------------------- |
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| 59 | !! *** ROUTINE lim_trp *** |
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| 60 | !! |
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| 61 | !! ** purpose : advection/diffusion process of sea ice |
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| 62 | !! |
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| 63 | !! ** method : variables included in the process are scalar, |
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| 64 | !! other values are considered as second order. |
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| 65 | !! For advection, a second order Prather scheme is used. |
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| 66 | !! |
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| 67 | !! ** action : |
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| 68 | !!--------------------------------------------------------------------- |
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[2715] | 69 | INTEGER, INTENT(in) :: kt ! number of iteration |
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| 70 | ! |
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| 71 | INTEGER :: ji, jj, jk, jl, layer ! dummy loop indices |
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| 72 | INTEGER :: initad ! number of sub-timestep for the advection |
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[2777] | 73 | INTEGER :: ierr ! error status |
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[4161] | 74 | REAL(wp) :: zindb , zindsn , zindic, zindh, zinda ! local scalar |
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[2715] | 75 | REAL(wp) :: zusvosn, zusvoic, zbigval ! - - |
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[4205] | 76 | REAL(wp) :: zcfl , zusnit ! - - |
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[2715] | 77 | REAL(wp) :: ze , zsal , zage ! - - |
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| 78 | ! |
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[3294] | 79 | REAL(wp), POINTER, DIMENSION(:,:) :: zui_u, zvi_v, zsm, zs0at, zs0ow |
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| 80 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zs0ice, zs0sn, zs0a, zs0c0 , zs0sm , zs0oi |
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| 81 | REAL(wp), POINTER, DIMENSION(:,:,:,:) :: zs0e |
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[4161] | 82 | REAL(wp) :: zchk_v_i, zchk_smv, zchk_fs, zchk_fw, zchk_v_i_b, zchk_smv_b, zchk_fs_b, zchk_fw_b ! Check conservation (C Rousset) |
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| 83 | REAL(wp) :: zchk_vmin, zchk_amin, zchk_amax, zchk_umax ! Check errors (C Rousset) |
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| 84 | ! mass and salt flux (clem) |
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| 85 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zviold ! old ice volume... |
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| 86 | ! correct ice thickness (clem) |
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| 87 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zaiold, zhimax ! old ice concentration and thickness |
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| 88 | REAL(wp) :: zdv, zda, zvi, zvs, zsmv |
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[2715] | 89 | !!--------------------------------------------------------------------- |
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[4161] | 90 | IF( nn_timing == 1 ) CALL timing_start('limtrp') |
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[825] | 91 | |
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[3294] | 92 | CALL wrk_alloc( jpi, jpj, zui_u, zvi_v, zsm, zs0at, zs0ow ) |
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| 93 | CALL wrk_alloc( jpi, jpj, jpl, zs0ice, zs0sn, zs0a, zs0c0 , zs0sm , zs0oi ) |
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| 94 | CALL wrk_alloc( jpi, jpj, jkmax, jpl, zs0e ) |
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[825] | 95 | |
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[4161] | 96 | CALL wrk_alloc( jpi,jpj,jpl,zviold ) ! clem |
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| 97 | CALL wrk_alloc( jpi,jpj,jpl,zaiold, zhimax ) ! clem |
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| 98 | |
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| 99 | ! ------------------------------- |
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| 100 | !- check conservation (C Rousset) |
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| 101 | IF( ln_limdiahsb ) THEN |
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| 102 | zchk_v_i_b = glob_sum( SUM( v_i(:,:,:), dim=3 ) * area(:,:) * tms(:,:) ) |
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| 103 | zchk_smv_b = glob_sum( SUM( smv_i(:,:,:), dim=3 ) * area(:,:) * tms(:,:) ) |
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| 104 | zchk_fw_b = glob_sum( rdm_ice(:,:) * area(:,:) * tms(:,:) ) |
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| 105 | zchk_fs_b = glob_sum( ( sfx_bri(:,:) + sfx_thd(:,:) + sfx_res(:,:) + sfx_mec(:,:) ) * area(:,:) * tms(:,:) ) |
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| 106 | ENDIF |
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| 107 | !- check conservation (C Rousset) |
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| 108 | ! ------------------------------- |
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| 109 | |
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[2715] | 110 | IF( numit == nstart .AND. lwp ) THEN |
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| 111 | WRITE(numout,*) |
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| 112 | IF( ln_limdyn ) THEN ; WRITE(numout,*) 'lim_trp : Ice transport ' |
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| 113 | ELSE ; WRITE(numout,*) 'lim_trp : No ice advection as ln_limdyn = ', ln_limdyn |
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| 114 | ENDIF |
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| 115 | WRITE(numout,*) '~~~~~~~~~~~~' |
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| 116 | ENDIF |
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| 117 | |
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[825] | 118 | zsm(:,:) = area(:,:) |
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| 119 | |
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[2715] | 120 | ! !-------------------------------------! |
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| 121 | IF( ln_limdyn ) THEN ! Advection of sea ice properties ! |
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| 122 | ! !-------------------------------------! |
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[4161] | 123 | ! mass and salt flux init (clem) |
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| 124 | zviold(:,:,:) = v_i(:,:,:) |
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[825] | 125 | |
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[4161] | 126 | !--- Thickness correction init. (clem) ------------------------------- |
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| 127 | CALL lim_var_glo2eqv |
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| 128 | zaiold(:,:,:) = a_i(:,:,:) |
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| 129 | !--------------------------------------------------------------------- |
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| 130 | ! Record max of the surrounding ice thicknesses for correction in limupdate |
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| 131 | ! in case advection creates ice too thick. |
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| 132 | !--------------------------------------------------------------------- |
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| 133 | zhimax(:,:,:) = ht_i(:,:,:) |
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| 134 | DO jl = 1, jpl |
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| 135 | DO jj = 2, jpjm1 |
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| 136 | DO ji = 2, jpim1 |
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| 137 | zhimax(ji,jj,jl) = MAXVAL( ht_i(ji-1:ji+1,jj-1:jj+1,jl) ) |
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| 138 | !zhimax(ji,jj,jl) = ( ht_i(ji ,jj ,jl) * tmask(ji, jj ,1) + ht_i(ji-1,jj-1,jl) * tmask(ji-1,jj-1,1) + ht_i(ji+1,jj+1,jl) * tmask(ji+1,jj+1,1) & |
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| 139 | ! & + ht_i(ji-1,jj ,jl) * tmask(ji-1,jj ,1) + ht_i(ji ,jj-1,jl) * tmask(ji ,jj-1,1) & |
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| 140 | ! & + ht_i(ji+1,jj ,jl) * tmask(ji+1,jj ,1) + ht_i(ji ,jj+1,jl) * tmask(ji ,jj+1,1) & |
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| 141 | ! & + ht_i(ji-1,jj+1,jl) * tmask(ji-1,jj+1,1) + ht_i(ji+1,jj-1,jl) * tmask(ji+1,jj-1,1) ) |
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| 142 | END DO |
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| 143 | END DO |
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| 144 | CALL lbc_lnk(zhimax(:,:,jl),'T',1.) |
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| 145 | END DO |
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| 146 | |
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[825] | 147 | !------------------------- |
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[2715] | 148 | ! transported fields |
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[825] | 149 | !------------------------- |
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[2715] | 150 | ! Snow vol, ice vol, salt and age contents, area |
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| 151 | zs0ow(:,:) = ato_i(:,:) * area(:,:) ! Open water area |
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| 152 | DO jl = 1, jpl |
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| 153 | zs0sn (:,:,jl) = v_s (:,:,jl) * area(:,:) ! Snow volume |
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| 154 | zs0ice(:,:,jl) = v_i (:,:,jl) * area(:,:) ! Ice volume |
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| 155 | zs0a (:,:,jl) = a_i (:,:,jl) * area(:,:) ! Ice area |
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| 156 | zs0sm (:,:,jl) = smv_i(:,:,jl) * area(:,:) ! Salt content |
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| 157 | zs0oi (:,:,jl) = oa_i (:,:,jl) * area(:,:) ! Age content |
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| 158 | zs0c0 (:,:,jl) = e_s (:,:,1,jl) ! Snow heat content |
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| 159 | zs0e (:,:,:,jl) = e_i (:,:,:,jl) ! Ice heat content |
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[825] | 160 | END DO |
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| 161 | |
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[2715] | 162 | !-------------------------- |
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| 163 | ! Advection of Ice fields (Prather scheme) |
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| 164 | !-------------------------- |
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[825] | 165 | ! If ice drift field is too fast, use an appropriate time step for advection. |
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[2715] | 166 | ! CFL test for stability |
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| 167 | zcfl = MAXVAL( ABS( u_ice(:,:) ) * rdt_ice / e1u(:,:) ) |
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| 168 | zcfl = MAX( zcfl, MAXVAL( ABS( v_ice(:,:) ) * rdt_ice / e2v(:,:) ) ) |
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| 169 | IF(lk_mpp ) CALL mpp_max( zcfl ) |
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| 170 | !!gm more readability: |
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| 171 | ! IF( zcfl > 0.5 ) THEN ; initad = 2 ; zusnit = 0.5_wp |
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| 172 | ! ELSE ; initad = 1 ; zusnit = 1.0_wp |
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| 173 | ! ENDIF |
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| 174 | !!gm end |
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[4161] | 175 | initad = 1 + NINT( MAX( rzero, SIGN( rone, zcfl-0.5 ) ) ) |
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[825] | 176 | zusnit = 1.0 / REAL( initad ) |
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[2715] | 177 | IF( zcfl > 0.5 .AND. lwp ) & |
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[3625] | 178 | WRITE(numout,*) 'lim_trp : CFL violation at day ', nday, ', cfl = ', zcfl, & |
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[2715] | 179 | & ': the ice time stepping is split in two' |
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[921] | 180 | |
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[2715] | 181 | IF( MOD( ( kt - 1) / nn_fsbc , 2 ) == 0 ) THEN !== odd ice time step: adv_x then adv_y ==! |
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[825] | 182 | DO jk = 1,initad |
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[2715] | 183 | CALL lim_adv_x( zusnit, u_ice, rone , zsm, zs0ow (:,:), sxopw(:,:), & !--- ice open water area |
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| 184 | & sxxopw(:,:), syopw(:,:), syyopw(:,:), sxyopw(:,:) ) |
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| 185 | CALL lim_adv_y( zusnit, v_ice, rzero, zsm, zs0ow (:,:), sxopw(:,:), & |
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| 186 | & sxxopw(:,:), syopw(:,:), syyopw(:,:), sxyopw(:,:) ) |
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[825] | 187 | DO jl = 1, jpl |
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[2715] | 188 | CALL lim_adv_x( zusnit, u_ice, rone , zsm, zs0ice(:,:,jl), sxice(:,:,jl), & !--- ice volume --- |
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| 189 | & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) ) |
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| 190 | CALL lim_adv_y( zusnit, v_ice, rzero, zsm, zs0ice(:,:,jl), sxice(:,:,jl), & |
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| 191 | & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) ) |
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| 192 | CALL lim_adv_x( zusnit, u_ice, rone , zsm, zs0sn (:,:,jl), sxsn (:,:,jl), & !--- snow volume --- |
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| 193 | & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) ) |
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| 194 | CALL lim_adv_y( zusnit, v_ice, rzero, zsm, zs0sn (:,:,jl), sxsn (:,:,jl), & |
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| 195 | & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) ) |
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| 196 | CALL lim_adv_x( zusnit, u_ice, rone , zsm, zs0sm (:,:,jl), sxsal(:,:,jl), & !--- ice salinity --- |
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| 197 | & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) ) |
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| 198 | CALL lim_adv_y( zusnit, v_ice, rzero, zsm, zs0sm (:,:,jl), sxsal(:,:,jl), & |
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| 199 | & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) ) |
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| 200 | CALL lim_adv_x( zusnit, u_ice, rone , zsm, zs0oi (:,:,jl), sxage(:,:,jl), & !--- ice age --- |
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| 201 | & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) ) |
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| 202 | CALL lim_adv_y( zusnit, v_ice, rzero, zsm, zs0oi (:,:,jl), sxage(:,:,jl), & |
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| 203 | & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) ) |
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| 204 | CALL lim_adv_x( zusnit, u_ice, rone , zsm, zs0a (:,:,jl), sxa (:,:,jl), & !--- ice concentrations --- |
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| 205 | & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) ) |
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| 206 | CALL lim_adv_y( zusnit, v_ice, rzero, zsm, zs0a (:,:,jl), sxa (:,:,jl), & |
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| 207 | & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) ) |
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| 208 | CALL lim_adv_x( zusnit, u_ice, rone , zsm, zs0c0 (:,:,jl), sxc0 (:,:,jl), & !--- snow heat contents --- |
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| 209 | & sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) ) |
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| 210 | CALL lim_adv_y( zusnit, v_ice, rzero, zsm, zs0c0 (:,:,jl), sxc0 (:,:,jl), & |
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| 211 | & sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) ) |
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| 212 | DO layer = 1, nlay_i !--- ice heat contents --- |
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| 213 | CALL lim_adv_x( zusnit, u_ice, rone , zsm, zs0e(:,:,layer,jl), sxe (:,:,layer,jl), & |
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| 214 | & sxxe(:,:,layer,jl), sye (:,:,layer,jl), & |
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| 215 | & syye(:,:,layer,jl), sxye(:,:,layer,jl) ) |
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| 216 | CALL lim_adv_y( zusnit, v_ice, rzero, zsm, zs0e(:,:,layer,jl), sxe (:,:,layer,jl), & |
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| 217 | & sxxe(:,:,layer,jl), sye (:,:,layer,jl), & |
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| 218 | & syye(:,:,layer,jl), sxye(:,:,layer,jl) ) |
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[825] | 219 | END DO |
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| 220 | END DO |
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| 221 | END DO |
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| 222 | ELSE |
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| 223 | DO jk = 1, initad |
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[3625] | 224 | CALL lim_adv_y( zusnit, v_ice, rone , zsm, zs0ow (:,:), sxopw(:,:), & !--- ice open water area |
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[2715] | 225 | & sxxopw(:,:), syopw(:,:), syyopw(:,:), sxyopw(:,:) ) |
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[3625] | 226 | CALL lim_adv_x( zusnit, u_ice, rzero, zsm, zs0ow (:,:), sxopw(:,:), & |
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[2715] | 227 | & sxxopw(:,:), syopw(:,:), syyopw(:,:), sxyopw(:,:) ) |
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[825] | 228 | DO jl = 1, jpl |
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[3625] | 229 | CALL lim_adv_y( zusnit, v_ice, rone , zsm, zs0ice(:,:,jl), sxice(:,:,jl), & !--- ice volume --- |
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[2715] | 230 | & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) ) |
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[3625] | 231 | CALL lim_adv_x( zusnit, u_ice, rzero, zsm, zs0ice(:,:,jl), sxice(:,:,jl), & |
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[2715] | 232 | & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) ) |
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[3625] | 233 | CALL lim_adv_y( zusnit, v_ice, rone , zsm, zs0sn (:,:,jl), sxsn (:,:,jl), & !--- snow volume --- |
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[2715] | 234 | & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) ) |
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[3625] | 235 | CALL lim_adv_x( zusnit, u_ice, rzero, zsm, zs0sn (:,:,jl), sxsn (:,:,jl), & |
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[2715] | 236 | & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) ) |
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[3625] | 237 | CALL lim_adv_y( zusnit, v_ice, rone , zsm, zs0sm (:,:,jl), sxsal(:,:,jl), & !--- ice salinity --- |
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[2715] | 238 | & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) ) |
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[3625] | 239 | CALL lim_adv_x( zusnit, u_ice, rzero, zsm, zs0sm (:,:,jl), sxsal(:,:,jl), & |
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[2715] | 240 | & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) ) |
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| 241 | |
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[3625] | 242 | CALL lim_adv_y( zusnit, v_ice, rone , zsm, zs0oi (:,:,jl), sxage(:,:,jl), & !--- ice age --- |
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[2715] | 243 | & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) ) |
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[3625] | 244 | CALL lim_adv_x( zusnit, u_ice, rzero, zsm, zs0oi (:,:,jl), sxage(:,:,jl), & |
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[2715] | 245 | & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) ) |
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[3625] | 246 | CALL lim_adv_y( zusnit, v_ice, rone , zsm, zs0a (:,:,jl), sxa (:,:,jl), & !--- ice concentrations --- |
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[2715] | 247 | & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) ) |
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[3625] | 248 | CALL lim_adv_x( zusnit, u_ice, rzero, zsm, zs0a (:,:,jl), sxa (:,:,jl), & |
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[2715] | 249 | & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) ) |
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[3625] | 250 | CALL lim_adv_y( zusnit, v_ice, rone , zsm, zs0c0 (:,:,jl), sxc0 (:,:,jl), & !--- snow heat contents --- |
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[2715] | 251 | & sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) ) |
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[3625] | 252 | CALL lim_adv_x( zusnit, u_ice, rzero, zsm, zs0c0 (:,:,jl), sxc0 (:,:,jl), & |
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[2715] | 253 | & sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) ) |
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| 254 | DO layer = 1, nlay_i !--- ice heat contents --- |
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[3625] | 255 | CALL lim_adv_y( zusnit, v_ice, rone , zsm, zs0e(:,:,layer,jl), sxe (:,:,layer,jl), & |
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[2715] | 256 | & sxxe(:,:,layer,jl), sye (:,:,layer,jl), & |
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| 257 | & syye(:,:,layer,jl), sxye(:,:,layer,jl) ) |
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[3625] | 258 | CALL lim_adv_x( zusnit, u_ice, rzero, zsm, zs0e(:,:,layer,jl), sxe (:,:,layer,jl), & |
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[2715] | 259 | & sxxe(:,:,layer,jl), sye (:,:,layer,jl), & |
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| 260 | & syye(:,:,layer,jl), sxye(:,:,layer,jl) ) |
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[825] | 261 | END DO |
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| 262 | END DO |
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| 263 | END DO |
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| 264 | ENDIF |
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| 265 | |
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| 266 | !------------------------------------------- |
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| 267 | ! Recover the properties from their contents |
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| 268 | !------------------------------------------- |
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[2715] | 269 | zs0ow(:,:) = zs0ow(:,:) / area(:,:) |
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[825] | 270 | DO jl = 1, jpl |
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| 271 | zs0ice(:,:,jl) = zs0ice(:,:,jl) / area(:,:) |
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| 272 | zs0sn (:,:,jl) = zs0sn (:,:,jl) / area(:,:) |
---|
| 273 | zs0sm (:,:,jl) = zs0sm (:,:,jl) / area(:,:) |
---|
| 274 | zs0oi (:,:,jl) = zs0oi (:,:,jl) / area(:,:) |
---|
| 275 | zs0a (:,:,jl) = zs0a (:,:,jl) / area(:,:) |
---|
| 276 | zs0c0 (:,:,jl) = zs0c0 (:,:,jl) / area(:,:) |
---|
| 277 | DO jk = 1, nlay_i |
---|
| 278 | zs0e(:,:,jk,jl) = zs0e(:,:,jk,jl) / area(:,:) |
---|
| 279 | END DO |
---|
| 280 | END DO |
---|
| 281 | |
---|
[921] | 282 | !------------------------------------------------------------------------------! |
---|
| 283 | ! 4) Diffusion of Ice fields |
---|
| 284 | !------------------------------------------------------------------------------! |
---|
[825] | 285 | |
---|
[2715] | 286 | !-------------------------------- |
---|
| 287 | ! diffusion of open water area |
---|
| 288 | !-------------------------------- |
---|
| 289 | zs0at(:,:) = zs0a(:,:,1) ! total ice fraction |
---|
| 290 | DO jl = 2, jpl |
---|
| 291 | zs0at(:,:) = zs0at(:,:) + zs0a(:,:,jl) |
---|
| 292 | END DO |
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| 293 | ! |
---|
| 294 | ! ! Masked eddy diffusivity coefficient at ocean U- and V-points |
---|
| 295 | DO jj = 1, jpjm1 ! NB: has not to be defined on jpj line and jpi row |
---|
| 296 | DO ji = 1 , fs_jpim1 ! vector opt. |
---|
| 297 | pahu(ji,jj) = ( 1._wp - MAX( rzero, SIGN( rone, -zs0at(ji ,jj) ) ) ) & |
---|
| 298 | & * ( 1._wp - MAX( rzero, SIGN( rone, -zs0at(ji+1,jj) ) ) ) * ahiu(ji,jj) |
---|
| 299 | pahv(ji,jj) = ( 1._wp - MAX( rzero, SIGN( rone, -zs0at(ji,jj ) ) ) ) & |
---|
| 300 | & * ( 1._wp - MAX( rzero, SIGN( rone,- zs0at(ji,jj+1) ) ) ) * ahiv(ji,jj) |
---|
| 301 | END DO |
---|
| 302 | END DO |
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| 303 | ! |
---|
| 304 | CALL lim_hdf( zs0ow (:,:) ) ! Diffusion |
---|
| 305 | |
---|
[921] | 306 | !------------------------------------ |
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[2715] | 307 | ! Diffusion of other ice variables |
---|
[921] | 308 | !------------------------------------ |
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[825] | 309 | DO jl = 1, jpl |
---|
[2715] | 310 | ! ! Masked eddy diffusivity coefficient at ocean U- and V-points |
---|
| 311 | DO jj = 1, jpjm1 ! NB: has not to be defined on jpj line and jpi row |
---|
| 312 | DO ji = 1 , fs_jpim1 ! vector opt. |
---|
| 313 | pahu(ji,jj) = ( 1._wp - MAX( rzero, SIGN( rone, -zs0a(ji ,jj,jl) ) ) ) & |
---|
| 314 | & * ( 1._wp - MAX( rzero, SIGN( rone, -zs0a(ji+1,jj,jl) ) ) ) * ahiu(ji,jj) |
---|
| 315 | pahv(ji,jj) = ( 1._wp - MAX( rzero, SIGN( rone, -zs0a(ji,jj ,jl) ) ) ) & |
---|
| 316 | & * ( 1._wp - MAX( rzero, SIGN( rone,- zs0a(ji,jj+1,jl) ) ) ) * ahiv(ji,jj) |
---|
[825] | 317 | END DO |
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[921] | 318 | END DO |
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[825] | 319 | |
---|
| 320 | CALL lim_hdf( zs0ice (:,:,jl) ) |
---|
| 321 | CALL lim_hdf( zs0sn (:,:,jl) ) |
---|
| 322 | CALL lim_hdf( zs0sm (:,:,jl) ) |
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| 323 | CALL lim_hdf( zs0oi (:,:,jl) ) |
---|
| 324 | CALL lim_hdf( zs0a (:,:,jl) ) |
---|
| 325 | CALL lim_hdf( zs0c0 (:,:,jl) ) |
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| 326 | DO jk = 1, nlay_i |
---|
| 327 | CALL lim_hdf( zs0e (:,:,jk,jl) ) |
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[2715] | 328 | END DO |
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| 329 | END DO |
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[825] | 330 | |
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[921] | 331 | !------------------------------------------------------------------------------! |
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| 332 | ! 5) Update and limit ice properties after transport |
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| 333 | !------------------------------------------------------------------------------! |
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[825] | 334 | |
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[921] | 335 | !-------------------------------------------------- |
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| 336 | ! 5.1) Recover mean values over the grid squares. |
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| 337 | !-------------------------------------------------- |
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[2715] | 338 | zs0at(:,:) = 0._wp |
---|
[825] | 339 | DO jl = 1, jpl |
---|
| 340 | DO jj = 1, jpj |
---|
| 341 | DO ji = 1, jpi |
---|
[4161] | 342 | zs0sn (ji,jj,jl) = MAX( rzero, zs0sn (ji,jj,jl) ) |
---|
| 343 | zs0ice(ji,jj,jl) = MAX( rzero, zs0ice(ji,jj,jl) ) |
---|
| 344 | zs0sm (ji,jj,jl) = MAX( rzero, zs0sm (ji,jj,jl) ) |
---|
| 345 | zs0oi (ji,jj,jl) = MAX( rzero, zs0oi (ji,jj,jl) ) |
---|
| 346 | zs0a (ji,jj,jl) = MAX( rzero, zs0a (ji,jj,jl) ) |
---|
| 347 | zs0c0 (ji,jj,jl) = MAX( rzero, zs0c0 (ji,jj,jl) ) |
---|
[825] | 348 | zs0at (ji,jj) = zs0at(ji,jj) + zs0a(ji,jj,jl) |
---|
| 349 | END DO |
---|
| 350 | END DO |
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| 351 | END DO |
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| 352 | |
---|
[921] | 353 | !--------------------------------------------------------- |
---|
| 354 | ! 5.2) Snow thickness, Ice thickness, Ice concentrations |
---|
| 355 | !--------------------------------------------------------- |
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[825] | 356 | DO jj = 1, jpj |
---|
| 357 | DO ji = 1, jpi |
---|
[4161] | 358 | zindb = MAX( 0._wp , SIGN( 1.0, zs0at(ji,jj) - epsi10) ) |
---|
[2715] | 359 | zs0ow(ji,jj) = ( 1._wp - zindb ) + zindb * MAX( zs0ow(ji,jj), 0._wp ) |
---|
| 360 | ato_i(ji,jj) = zs0ow(ji,jj) |
---|
[825] | 361 | END DO |
---|
| 362 | END DO |
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| 363 | |
---|
[2715] | 364 | DO jl = 1, jpl ! Remove very small areas |
---|
[825] | 365 | DO jj = 1, jpj |
---|
| 366 | DO ji = 1, jpi |
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[4161] | 367 | zvi = zs0ice(ji,jj,jl) |
---|
| 368 | zvs = zs0sn(ji,jj,jl) |
---|
[2715] | 369 | ! |
---|
[4161] | 370 | zindb = MAX( 0.0 , SIGN( 1.0, zs0a(ji,jj,jl) - epsi10) ) |
---|
| 371 | ! |
---|
[2715] | 372 | v_s(ji,jj,jl) = zindb * zs0sn (ji,jj,jl) |
---|
| 373 | v_i(ji,jj,jl) = zindb * zs0ice(ji,jj,jl) |
---|
| 374 | ! |
---|
[4161] | 375 | zindsn = MAX( rzero, SIGN( rone, v_s(ji,jj,jl) - epsi10 ) ) |
---|
| 376 | zindic = MAX( rzero, SIGN( rone, v_i(ji,jj,jl) - epsi10 ) ) |
---|
[2715] | 377 | zindb = MAX( zindsn, zindic ) |
---|
[4161] | 378 | ! |
---|
[2715] | 379 | zs0a(ji,jj,jl) = zindb * zs0a(ji,jj,jl) !ice concentration |
---|
| 380 | a_i (ji,jj,jl) = zs0a(ji,jj,jl) |
---|
| 381 | v_s (ji,jj,jl) = zindsn * v_s(ji,jj,jl) |
---|
| 382 | v_i (ji,jj,jl) = zindic * v_i(ji,jj,jl) |
---|
[4161] | 383 | ! |
---|
| 384 | ! Update mass fluxes (clem) |
---|
| 385 | rdm_ice(ji,jj) = rdm_ice(ji,jj) + ( v_i(ji,jj,jl) - zvi ) * rhoic |
---|
| 386 | rdm_snw(ji,jj) = rdm_snw(ji,jj) + ( v_s(ji,jj,jl) - zvs ) * rhosn |
---|
| 387 | END DO |
---|
| 388 | END DO |
---|
| 389 | END DO |
---|
| 390 | |
---|
| 391 | !--- Thickness correction in case too high (clem) -------------------------------------------------------- |
---|
| 392 | CALL lim_var_glo2eqv |
---|
| 393 | DO jl = 1, jpl |
---|
| 394 | DO jj = 1, jpj |
---|
| 395 | DO ji = 1, jpi |
---|
| 396 | |
---|
| 397 | IF ( v_i(ji,jj,jl) > 0._wp ) THEN |
---|
| 398 | zvi = v_i(ji,jj,jl) |
---|
| 399 | zvs = v_s(ji,jj,jl) |
---|
| 400 | zdv = v_i(ji,jj,jl) - zviold(ji,jj,jl) |
---|
| 401 | !zda = a_i(ji,jj,jl) - zaiold(ji,jj,jl) |
---|
| 402 | |
---|
| 403 | zindh = 1._wp |
---|
| 404 | IF ( ( zdv > 0.0 .AND. ht_i(ji,jj,jl) > zhimax(ji,jj,jl) .AND. SUM( zaiold(ji,jj,1:jpl) ) < 0.80 ) .OR. & |
---|
| 405 | & ( zdv < 0.0 .AND. ht_i(ji,jj,jl) > zhimax(ji,jj,jl) ) ) THEN |
---|
| 406 | ht_i(ji,jj,jl) = MIN( zhimax(ji,jj,jl), hi_max(jl) ) |
---|
| 407 | zindh = MAX( rzero, SIGN( rone, ht_i(ji,jj,jl) - epsi10 ) ) |
---|
| 408 | a_i(ji,jj,jl) = zindh * v_i(ji,jj,jl) / MAX( ht_i(ji,jj,jl), epsi10 ) |
---|
| 409 | ELSE |
---|
| 410 | ht_i(ji,jj,jl) = MAX( MIN( ht_i(ji,jj,jl), hi_max(jl) ), hi_max(jl-1) ) |
---|
| 411 | zindh = MAX( rzero, SIGN( rone, ht_i(ji,jj,jl) - epsi10 ) ) |
---|
| 412 | a_i(ji,jj,jl) = zindh * v_i(ji,jj,jl) / MAX( ht_i(ji,jj,jl), epsi10 ) |
---|
| 413 | ENDIF |
---|
| 414 | |
---|
| 415 | ! small correction due to *zindh for a_i |
---|
| 416 | v_i(ji,jj,jl) = zindh * v_i(ji,jj,jl) |
---|
| 417 | v_s(ji,jj,jl) = zindh * v_s(ji,jj,jl) |
---|
| 418 | |
---|
| 419 | ! Update mass fluxes |
---|
| 420 | rdm_ice(ji,jj) = rdm_ice(ji,jj) + ( v_i(ji,jj,jl) - zvi ) * rhoic |
---|
| 421 | rdm_snw(ji,jj) = rdm_snw(ji,jj) + ( v_s(ji,jj,jl) - zvs ) * rhosn |
---|
| 422 | |
---|
| 423 | ENDIF |
---|
| 424 | |
---|
| 425 | diag_trp_vi(ji,jj) = diag_trp_vi(ji,jj) + ( v_i(ji,jj,jl) - zviold(ji,jj,jl) ) * r1_rdtice |
---|
| 426 | |
---|
[825] | 427 | END DO |
---|
| 428 | END DO |
---|
| 429 | END DO |
---|
| 430 | |
---|
[4161] | 431 | ! --- |
---|
[825] | 432 | DO jj = 1, jpj |
---|
| 433 | DO ji = 1, jpi |
---|
[4161] | 434 | zs0at(ji,jj) = SUM( zs0a(ji,jj,1:jpl) ) ! clem@useless?? |
---|
[825] | 435 | END DO |
---|
| 436 | END DO |
---|
| 437 | |
---|
[921] | 438 | !---------------------- |
---|
| 439 | ! 5.3) Ice properties |
---|
| 440 | !---------------------- |
---|
[825] | 441 | |
---|
[4161] | 442 | zbigval = 1.e+13 |
---|
[825] | 443 | |
---|
| 444 | DO jl = 1, jpl |
---|
| 445 | DO jj = 1, jpj |
---|
| 446 | DO ji = 1, jpi |
---|
[4161] | 447 | zsmv = zs0sm(ji,jj,jl) |
---|
[825] | 448 | |
---|
| 449 | ! Switches and dummy variables |
---|
| 450 | zusvosn = 1.0/MAX( v_s(ji,jj,jl) , epsi16 ) |
---|
| 451 | zusvoic = 1.0/MAX( v_i(ji,jj,jl) , epsi16 ) |
---|
[4161] | 452 | zindsn = MAX( rzero, SIGN( rone, v_s(ji,jj,jl) - epsi10 ) ) |
---|
| 453 | zindic = MAX( rzero, SIGN( rone, v_i(ji,jj,jl) - epsi10 ) ) |
---|
[825] | 454 | zindb = MAX( zindsn, zindic ) |
---|
| 455 | |
---|
| 456 | ! Ice salinity and age |
---|
[4161] | 457 | !clem zsal = MAX( MIN( (rhoic-rhosn)/rhoic*sss_m(ji,jj), zusvoic * zs0sm(ji,jj,jl) ), s_i_min ) * v_i(ji,jj,jl) |
---|
| 458 | IF( num_sal == 2 ) THEN |
---|
| 459 | smv_i(ji,jj,jl) = MAX( MIN( s_i_max * v_i(ji,jj,jl), zsmv ), s_i_min * v_i(ji,jj,jl) ) |
---|
| 460 | ENDIF |
---|
[825] | 461 | |
---|
[4161] | 462 | zage = MAX( MIN( zbigval, zs0oi(ji,jj,jl) / MAX( a_i(ji,jj,jl), epsi16 ) ), 0._wp ) * a_i(ji,jj,jl) |
---|
[3625] | 463 | oa_i (ji,jj,jl) = zindic * zage |
---|
[825] | 464 | |
---|
| 465 | ! Snow heat content |
---|
| 466 | ze = MIN( MAX( 0.0, zs0c0(ji,jj,jl)*area(ji,jj) ), zbigval ) |
---|
[4161] | 467 | e_s(ji,jj,1,jl) = zindsn * ze |
---|
[825] | 468 | |
---|
[4161] | 469 | ! Update salt fluxes (clem) |
---|
| 470 | sfx_res(ji,jj) = sfx_res(ji,jj) - ( smv_i(ji,jj,jl) - zsmv ) * rhoic * r1_rdtice |
---|
[825] | 471 | END DO !ji |
---|
| 472 | END DO !jj |
---|
| 473 | END DO ! jl |
---|
| 474 | |
---|
| 475 | DO jl = 1, jpl |
---|
| 476 | DO jk = 1, nlay_i |
---|
| 477 | DO jj = 1, jpj |
---|
| 478 | DO ji = 1, jpi |
---|
| 479 | ! Ice heat content |
---|
[4161] | 480 | zindic = MAX( rzero, SIGN( rone, v_i(ji,jj,jl) - epsi10 ) ) |
---|
[825] | 481 | ze = MIN( MAX( 0.0, zs0e(ji,jj,jk,jl)*area(ji,jj) ), zbigval ) |
---|
[4161] | 482 | e_i(ji,jj,jk,jl) = zindic * ze |
---|
[825] | 483 | END DO !ji |
---|
| 484 | END DO ! jj |
---|
| 485 | END DO ! jk |
---|
| 486 | END DO ! jl |
---|
| 487 | |
---|
[4161] | 488 | |
---|
| 489 | ! --- agglomerate variables (clem) ----------------- |
---|
| 490 | vt_i (:,:) = 0._wp |
---|
| 491 | vt_s (:,:) = 0._wp |
---|
| 492 | at_i (:,:) = 0._wp |
---|
| 493 | ! |
---|
| 494 | DO jl = 1, jpl |
---|
| 495 | DO jj = 1, jpj |
---|
| 496 | DO ji = 1, jpi |
---|
| 497 | ! |
---|
| 498 | vt_i(ji,jj) = vt_i(ji,jj) + v_i(ji,jj,jl) ! ice volume |
---|
| 499 | vt_s(ji,jj) = vt_s(ji,jj) + v_s(ji,jj,jl) ! snow volume |
---|
| 500 | at_i(ji,jj) = at_i(ji,jj) + a_i(ji,jj,jl) ! ice concentration |
---|
| 501 | ! |
---|
| 502 | zinda = MAX( rzero , SIGN( rone , at_i(ji,jj) - epsi16 ) ) |
---|
| 503 | icethi(ji,jj) = vt_i(ji,jj) / MAX( at_i(ji,jj) , epsi16 ) * zinda ! ice thickness |
---|
| 504 | END DO |
---|
| 505 | END DO |
---|
| 506 | END DO |
---|
| 507 | ! ------------------------------------------------- |
---|
| 508 | |
---|
| 509 | |
---|
| 510 | |
---|
[825] | 511 | ENDIF |
---|
| 512 | |
---|
[863] | 513 | IF(ln_ctl) THEN ! Control print |
---|
[867] | 514 | CALL prt_ctl_info(' ') |
---|
| 515 | CALL prt_ctl_info(' - Cell values : ') |
---|
| 516 | CALL prt_ctl_info(' ~~~~~~~~~~~~~ ') |
---|
[863] | 517 | CALL prt_ctl(tab2d_1=area , clinfo1=' lim_trp : cell area :') |
---|
| 518 | CALL prt_ctl(tab2d_1=at_i , clinfo1=' lim_trp : at_i :') |
---|
| 519 | CALL prt_ctl(tab2d_1=vt_i , clinfo1=' lim_trp : vt_i :') |
---|
| 520 | CALL prt_ctl(tab2d_1=vt_s , clinfo1=' lim_trp : vt_s :') |
---|
| 521 | DO jl = 1, jpl |
---|
[867] | 522 | CALL prt_ctl_info(' ') |
---|
[863] | 523 | CALL prt_ctl_info(' - Category : ', ivar1=jl) |
---|
| 524 | CALL prt_ctl_info(' ~~~~~~~~~~') |
---|
| 525 | CALL prt_ctl(tab2d_1=a_i (:,:,jl) , clinfo1= ' lim_trp : a_i : ') |
---|
| 526 | CALL prt_ctl(tab2d_1=ht_i (:,:,jl) , clinfo1= ' lim_trp : ht_i : ') |
---|
| 527 | CALL prt_ctl(tab2d_1=ht_s (:,:,jl) , clinfo1= ' lim_trp : ht_s : ') |
---|
| 528 | CALL prt_ctl(tab2d_1=v_i (:,:,jl) , clinfo1= ' lim_trp : v_i : ') |
---|
| 529 | CALL prt_ctl(tab2d_1=v_s (:,:,jl) , clinfo1= ' lim_trp : v_s : ') |
---|
| 530 | CALL prt_ctl(tab2d_1=e_s (:,:,1,jl) , clinfo1= ' lim_trp : e_s : ') |
---|
| 531 | CALL prt_ctl(tab2d_1=t_su (:,:,jl) , clinfo1= ' lim_trp : t_su : ') |
---|
| 532 | CALL prt_ctl(tab2d_1=t_s (:,:,1,jl) , clinfo1= ' lim_trp : t_snow : ') |
---|
| 533 | CALL prt_ctl(tab2d_1=sm_i (:,:,jl) , clinfo1= ' lim_trp : sm_i : ') |
---|
| 534 | CALL prt_ctl(tab2d_1=smv_i (:,:,jl) , clinfo1= ' lim_trp : smv_i : ') |
---|
| 535 | DO jk = 1, nlay_i |
---|
[867] | 536 | CALL prt_ctl_info(' ') |
---|
[863] | 537 | CALL prt_ctl_info(' - Layer : ', ivar1=jk) |
---|
| 538 | CALL prt_ctl_info(' ~~~~~~~') |
---|
| 539 | CALL prt_ctl(tab2d_1=t_i(:,:,jk,jl) , clinfo1= ' lim_trp : t_i : ') |
---|
| 540 | CALL prt_ctl(tab2d_1=e_i(:,:,jk,jl) , clinfo1= ' lim_trp : e_i : ') |
---|
| 541 | END DO |
---|
| 542 | END DO |
---|
| 543 | ENDIF |
---|
[4161] | 544 | ! ------------------------------- |
---|
| 545 | !- check conservation (C Rousset) |
---|
| 546 | IF( ln_limdiahsb ) THEN |
---|
| 547 | zchk_fs = glob_sum( ( sfx_bri(:,:) + sfx_thd(:,:) + sfx_res(:,:) + sfx_mec(:,:) ) * area(:,:) * tms(:,:) ) - zchk_fs_b |
---|
| 548 | zchk_fw = glob_sum( rdm_ice(:,:) * area(:,:) * tms(:,:) ) - zchk_fw_b |
---|
| 549 | |
---|
| 550 | zchk_v_i = ( glob_sum( SUM( v_i(:,:,:), dim=3 ) * area(:,:) * tms(:,:) ) - zchk_v_i_b - ( zchk_fw / rhoic ) ) / rdt_ice |
---|
| 551 | zchk_smv = ( glob_sum( SUM( smv_i(:,:,:), dim=3 ) * area(:,:) * tms(:,:) ) - zchk_smv_b ) / rdt_ice + ( zchk_fs / rhoic ) |
---|
| 552 | |
---|
| 553 | zchk_vmin = glob_min(v_i) |
---|
| 554 | zchk_amax = glob_max(SUM(a_i,dim=3)) |
---|
| 555 | zchk_amin = glob_min(a_i) |
---|
| 556 | zchk_umax = glob_max(SQRT(u_ice**2 + v_ice**2)) |
---|
| 557 | |
---|
| 558 | IF(lwp) THEN |
---|
| 559 | IF ( ABS( zchk_v_i ) > 1.e-5 ) THEN |
---|
| 560 | WRITE(numout,*) 'violation volume [m3/day] (limtrp) = ',(zchk_v_i * rday) |
---|
| 561 | WRITE(numout,*) 'u_ice max [m/s] (limtrp) = ',zchk_umax |
---|
| 562 | WRITE(numout,*) 'number of time steps (limtrp) =',kt |
---|
| 563 | ENDIF |
---|
| 564 | IF ( ABS( zchk_smv ) > 1.e-4 ) WRITE(numout,*) 'violation saline [psu*m3/day] (limtrp) = ',(zchk_smv * rday) |
---|
| 565 | IF ( zchk_vmin < 0. ) WRITE(numout,*) 'violation v_i<0 [mm] (limtrp) = ',(zchk_vmin * 1.e-3) |
---|
| 566 | IF ( zchk_amin < 0. ) WRITE(numout,*) 'violation a_i<0 (limtrp) = ',zchk_amin |
---|
| 567 | ENDIF |
---|
| 568 | ENDIF |
---|
| 569 | !- check conservation (C Rousset) |
---|
| 570 | ! ------------------------------- |
---|
[2715] | 571 | ! |
---|
[3294] | 572 | CALL wrk_dealloc( jpi, jpj, zui_u, zvi_v, zsm, zs0at, zs0ow ) |
---|
| 573 | CALL wrk_dealloc( jpi, jpj, jpl, zs0ice, zs0sn, zs0a, zs0c0 , zs0sm , zs0oi ) |
---|
| 574 | CALL wrk_dealloc( jpi, jpj, jkmax, jpl, zs0e ) |
---|
[4161] | 575 | |
---|
| 576 | CALL wrk_dealloc( jpi,jpj,jpl,zaiold, zhimax ) ! clem |
---|
[2715] | 577 | ! |
---|
[4161] | 578 | IF( nn_timing == 1 ) CALL timing_stop('limtrp') |
---|
[825] | 579 | END SUBROUTINE lim_trp |
---|
| 580 | |
---|
| 581 | #else |
---|
| 582 | !!---------------------------------------------------------------------- |
---|
| 583 | !! Default option Empty Module No sea-ice model |
---|
| 584 | !!---------------------------------------------------------------------- |
---|
| 585 | CONTAINS |
---|
| 586 | SUBROUTINE lim_trp ! Empty routine |
---|
| 587 | END SUBROUTINE lim_trp |
---|
| 588 | #endif |
---|
| 589 | |
---|
| 590 | !!====================================================================== |
---|
| 591 | END MODULE limtrp |
---|