[821] | 1 | MODULE limtrp_2 |
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[3] | 2 | !!====================================================================== |
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[821] | 3 | !! *** MODULE limtrp_2 *** |
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| 4 | !! LIM 2.0 transport ice model : sea-ice advection/diffusion |
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[3] | 5 | !!====================================================================== |
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[1922] | 6 | !! History : LIM ! 2000-01 (UCL) Original code |
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| 7 | !! 2.0 ! 2001-05 (G. Madec, R. Hordoir) opa norm |
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| 8 | !! - ! 2004-01 (G. Madec, C. Ethe) F90, mpp |
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| 9 | !!---------------------------------------------------------------------- |
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[821] | 10 | #if defined key_lim2 |
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[3] | 11 | !!---------------------------------------------------------------------- |
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[821] | 12 | !! 'key_lim2' : LIM 2.0 sea-ice model |
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[3] | 13 | !!---------------------------------------------------------------------- |
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[821] | 14 | !! lim_trp_2 : advection/diffusion process of sea ice |
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| 15 | !! lim_trp_init_2 : initialization and namelist read |
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[3] | 16 | !!---------------------------------------------------------------------- |
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[1922] | 17 | USE phycst ! physical constant |
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| 18 | USE sbc_oce ! ocean surface boundary condition |
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| 19 | USE dom_oce ! ocean domain |
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[3] | 20 | USE in_out_manager ! I/O manager |
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[1922] | 21 | USE dom_ice_2 ! LIM-2 domain |
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| 22 | USE ice_2 ! LIM-2 variables |
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| 23 | USE limistate_2 ! LIM-2 initial state |
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| 24 | USE limadv_2 ! LIM-2 advection |
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| 25 | USE limhdf_2 ! LIM-2 horizontal diffusion |
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| 26 | USE lbclnk ! lateral boundary conditions -- MPP exchanges |
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| 27 | USE lib_mpp ! MPP library |
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[3] | 28 | |
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| 29 | IMPLICIT NONE |
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| 30 | PRIVATE |
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| 31 | |
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[1922] | 32 | PUBLIC lim_trp_2 ! called by sbc_ice_lim_2 |
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[3] | 33 | |
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[1922] | 34 | REAL(wp), PUBLIC :: bound = 0.e0 !: boundary condit. (0.0 no-slip, 1.0 free-slip) |
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[12] | 35 | |
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[3] | 36 | REAL(wp) :: & ! constant values |
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| 37 | epsi06 = 1.e-06 , & |
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| 38 | epsi03 = 1.e-03 , & |
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| 39 | epsi16 = 1.e-16 , & |
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| 40 | rzero = 0.e0 , & |
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| 41 | rone = 1.e0 |
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| 42 | |
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| 43 | !! * Substitution |
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| 44 | # include "vectopt_loop_substitute.h90" |
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| 45 | !!---------------------------------------------------------------------- |
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[1922] | 46 | !! NEMO/LIM 3.2, UCL-LOCEAN-IPSL (2010) |
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[1156] | 47 | !! $Id$ |
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[1922] | 48 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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[3] | 49 | !!---------------------------------------------------------------------- |
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| 50 | |
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| 51 | CONTAINS |
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| 52 | |
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[821] | 53 | SUBROUTINE lim_trp_2( kt ) |
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[3] | 54 | !!------------------------------------------------------------------- |
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[821] | 55 | !! *** ROUTINE lim_trp_2 *** |
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[3] | 56 | !! |
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| 57 | !! ** purpose : advection/diffusion process of sea ice |
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| 58 | !! |
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| 59 | !! ** method : variables included in the process are scalar, |
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| 60 | !! other values are considered as second order. |
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| 61 | !! For advection, a second order Prather scheme is used. |
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| 62 | !! |
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| 63 | !! ** action : |
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| 64 | !!--------------------------------------------------------------------- |
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[508] | 65 | INTEGER, INTENT(in) :: kt ! number of iteration |
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[1922] | 66 | !! |
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| 67 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 68 | INTEGER :: initad ! number of sub-timestep for the advection |
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| 69 | REAL(wp) :: zindb , zindsn , zindic, zacrith ! local scalars |
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| 70 | REAL(wp) :: zusvosn, zusvoic, zignm , zindhe ! - - |
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| 71 | REAL(wp) :: zvbord , zcfl , zusnit ! - - |
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| 72 | REAL(wp) :: zrtt , ztsn , ztic1 , ztic2 ! - - |
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| 73 | REAL(wp), DIMENSION(jpi,jpj) :: zui_u , zvi_v , zsm ! 2D workspace |
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| 74 | REAL(wp), DIMENSION(jpi,jpj) :: zs0ice, zs0sn , zs0a ! - - |
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| 75 | REAL(wp), DIMENSION(jpi,jpj) :: zs0c0 , zs0c1 , zs0c2 , zs0st ! - - |
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[3] | 76 | !--------------------------------------------------------------------- |
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| 77 | |
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[821] | 78 | IF( kt == nit000 ) CALL lim_trp_init_2 ! Initialization (first time-step only) |
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[3] | 79 | |
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| 80 | zsm(:,:) = area(:,:) |
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| 81 | |
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[76] | 82 | IF( ln_limdyn ) THEN |
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[3] | 83 | !-------------------------------------! |
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| 84 | ! Advection of sea ice properties ! |
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| 85 | !-------------------------------------! |
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| 86 | |
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| 87 | ! ice velocities at ocean U- and V-points (zui_u,zvi_v) |
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| 88 | ! --------------------------------------- |
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[1922] | 89 | zvbord = 1.0 + ( 1.0 - bound ) ! zvbord=2 no-slip, =0 free slip boundary conditions |
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[3] | 90 | DO jj = 1, jpjm1 |
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[1694] | 91 | DO ji = 1, jpim1 ! NO vector opt. |
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[1470] | 92 | zui_u(ji,jj) = ( u_ice(ji+1,jj ) + u_ice(ji+1,jj+1) ) / ( MAX( tmu(ji+1,jj ) + tmu(ji+1,jj+1), zvbord ) ) |
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| 93 | zvi_v(ji,jj) = ( v_ice(ji ,jj+1) + v_ice(ji+1,jj+1) ) / ( MAX( tmu(ji ,jj+1) + tmu(ji+1,jj+1), zvbord ) ) |
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[3] | 94 | END DO |
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| 95 | END DO |
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[1922] | 96 | CALL lbc_lnk( zui_u, 'U', -1. ) ; CALL lbc_lnk( zvi_v, 'V', -1. ) ! Lateral boundary conditions |
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[3] | 97 | |
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[1922] | 98 | |
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[3] | 99 | ! CFL test for stability |
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| 100 | ! ---------------------- |
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| 101 | zcfl = 0.e0 |
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| 102 | zcfl = MAX( zcfl, MAXVAL( ABS( zui_u(1:jpim1, : ) ) * rdt_ice / e1u(1:jpim1, : ) ) ) |
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| 103 | zcfl = MAX( zcfl, MAXVAL( ABS( zvi_v( : ,1:jpjm1) ) * rdt_ice / e2v( : ,1:jpjm1) ) ) |
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[1922] | 104 | ! |
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| 105 | IF(lk_mpp) CALL mpp_max( zcfl ) |
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| 106 | ! |
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| 107 | IF( zcfl > 0.5 .AND. lwp ) WRITE(numout,*) 'lim_trp_2 : violation of cfl criterion the ',nday,'th day, cfl = ', zcfl |
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[3] | 108 | |
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| 109 | ! content of properties |
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| 110 | ! --------------------- |
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| 111 | zs0sn (:,:) = hsnm(:,:) * area(:,:) ! Snow volume. |
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[1922] | 112 | zs0ice(:,:) = hicm(:,:) * area(:,:) ! Ice volume. |
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| 113 | zs0a (:,:) = ( 1.0 - frld(:,:) ) * area (:,:) ! Surface covered by ice. |
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| 114 | zs0c0 (:,:) = tbif(:,:,1) / rt0_snow * zs0sn (:,:) ! Heat content of the snow layer. |
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[3] | 115 | zs0c1 (:,:) = tbif(:,:,2) / rt0_ice * zs0ice(:,:) ! Heat content of the first ice layer. |
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| 116 | zs0c2 (:,:) = tbif(:,:,3) / rt0_ice * zs0ice(:,:) ! Heat content of the second ice layer. |
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[1922] | 117 | zs0st (:,:) = qstoif(:,:) / xlic * zs0a (:,:) ! Heat reservoir for brine pockets. |
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[3] | 118 | |
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| 119 | |
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[1922] | 120 | ! Advection (Prather scheme) |
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[3] | 121 | ! --------- |
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[1922] | 122 | initad = 1 + INT( MAX( rzero, SIGN( rone, zcfl-0.5 ) ) ) ! If ice drift field is too fast, |
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| 123 | zusnit = 1.0 / REAL( initad ) ! split the ice time step in two |
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| 124 | ! |
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| 125 | IF( MOD( ( kt - 1) / nn_fsbc , 2 ) == 0) THEN !== odd ice time step: adv_x then adv_y ==! |
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| 126 | DO jk = 1, initad |
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[821] | 127 | CALL lim_adv_x_2( zusnit, zui_u, rone , zsm, zs0ice, sxice, sxxice, syice, syyice, sxyice ) |
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| 128 | CALL lim_adv_y_2( zusnit, zvi_v, rzero, zsm, zs0ice, sxice, sxxice, syice, syyice, sxyice ) |
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| 129 | CALL lim_adv_x_2( zusnit, zui_u, rone , zsm, zs0sn , sxsn , sxxsn , sysn , syysn , sxysn ) |
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| 130 | CALL lim_adv_y_2( zusnit, zvi_v, rzero, zsm, zs0sn , sxsn , sxxsn , sysn , syysn , sxysn ) |
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| 131 | CALL lim_adv_x_2( zusnit, zui_u, rone , zsm, zs0a , sxa , sxxa , sya , syya , sxya ) |
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| 132 | CALL lim_adv_y_2( zusnit, zvi_v, rzero, zsm, zs0a , sxa , sxxa , sya , syya , sxya ) |
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| 133 | CALL lim_adv_x_2( zusnit, zui_u, rone , zsm, zs0c0 , sxc0 , sxxc0 , syc0 , syyc0 , sxyc0 ) |
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| 134 | CALL lim_adv_y_2( zusnit, zvi_v, rzero, zsm, zs0c0 , sxc0 , sxxc0 , syc0 , syyc0 , sxyc0 ) |
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| 135 | CALL lim_adv_x_2( zusnit, zui_u, rone , zsm, zs0c1 , sxc1 , sxxc1 , syc1 , syyc1 , sxyc1 ) |
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| 136 | CALL lim_adv_y_2( zusnit, zvi_v, rzero, zsm, zs0c1 , sxc1 , sxxc1 , syc1 , syyc1 , sxyc1 ) |
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| 137 | CALL lim_adv_x_2( zusnit, zui_u, rone , zsm, zs0c2 , sxc2 , sxxc2 , syc2 , syyc2 , sxyc2 ) |
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| 138 | CALL lim_adv_y_2( zusnit, zvi_v, rzero, zsm, zs0c2 , sxc2 , sxxc2 , syc2 , syyc2 , sxyc2 ) |
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| 139 | CALL lim_adv_x_2( zusnit, zui_u, rone , zsm, zs0st , sxst , sxxst , syst , syyst , sxyst ) |
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| 140 | CALL lim_adv_y_2( zusnit, zvi_v, rzero, zsm, zs0st , sxst , sxxst , syst , syyst , sxyst ) |
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[3] | 141 | END DO |
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[1922] | 142 | ELSE !== even ice time step: adv_x then adv_y ==! |
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[3] | 143 | DO jk = 1, initad |
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[821] | 144 | CALL lim_adv_y_2( zusnit, zvi_v, rone , zsm, zs0ice, sxice, sxxice, syice, syyice, sxyice ) |
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| 145 | CALL lim_adv_x_2( zusnit, zui_u, rzero, zsm, zs0ice, sxice, sxxice, syice, syyice, sxyice ) |
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| 146 | CALL lim_adv_y_2( zusnit, zvi_v, rone , zsm, zs0sn , sxsn , sxxsn , sysn , syysn , sxysn ) |
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| 147 | CALL lim_adv_x_2( zusnit, zui_u, rzero, zsm, zs0sn , sxsn , sxxsn , sysn , syysn , sxysn ) |
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| 148 | CALL lim_adv_y_2( zusnit, zvi_v, rone , zsm, zs0a , sxa , sxxa , sya , syya , sxya ) |
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| 149 | CALL lim_adv_x_2( zusnit, zui_u, rzero, zsm, zs0a , sxa , sxxa , sya , syya , sxya ) |
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| 150 | CALL lim_adv_y_2( zusnit, zvi_v, rone , zsm, zs0c0 , sxc0 , sxxc0 , syc0 , syyc0 , sxyc0 ) |
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| 151 | CALL lim_adv_x_2( zusnit, zui_u, rzero, zsm, zs0c0 , sxc0 , sxxc0 , syc0 , syyc0 , sxyc0 ) |
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| 152 | CALL lim_adv_y_2( zusnit, zvi_v, rone , zsm, zs0c1 , sxc1 , sxxc1 , syc1 , syyc1 , sxyc1 ) |
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| 153 | CALL lim_adv_x_2( zusnit, zui_u, rzero, zsm, zs0c1 , sxc1 , sxxc1 , syc1 , syyc1 , sxyc1 ) |
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| 154 | CALL lim_adv_y_2( zusnit, zvi_v, rone , zsm, zs0c2 , sxc2 , sxxc2 , syc2 , syyc2 , sxyc2 ) |
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| 155 | CALL lim_adv_x_2( zusnit, zui_u, rzero, zsm, zs0c2 , sxc2 , sxxc2 , syc2 , syyc2 , sxyc2 ) |
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| 156 | CALL lim_adv_y_2( zusnit, zvi_v, rone , zsm, zs0st , sxst , sxxst , syst , syyst , sxyst ) |
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| 157 | CALL lim_adv_x_2( zusnit, zui_u, rzero, zsm, zs0st , sxst , sxxst , syst , syyst , sxyst ) |
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[3] | 158 | END DO |
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| 159 | ENDIF |
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| 160 | |
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| 161 | ! recover the properties from their contents |
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| 162 | ! ------------------------------------------ |
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[1922] | 163 | !!gm Define in limmsh one for all area = 1 /area (CPU time saved !) |
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[3] | 164 | zs0ice(:,:) = zs0ice(:,:) / area(:,:) |
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| 165 | zs0sn (:,:) = zs0sn (:,:) / area(:,:) |
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| 166 | zs0a (:,:) = zs0a (:,:) / area(:,:) |
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| 167 | zs0c0 (:,:) = zs0c0 (:,:) / area(:,:) |
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| 168 | zs0c1 (:,:) = zs0c1 (:,:) / area(:,:) |
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| 169 | zs0c2 (:,:) = zs0c2 (:,:) / area(:,:) |
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| 170 | zs0st (:,:) = zs0st (:,:) / area(:,:) |
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| 171 | |
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| 172 | |
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| 173 | !-------------------------------------! |
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| 174 | ! Diffusion of sea ice properties ! |
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| 175 | !-------------------------------------! |
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| 176 | |
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| 177 | ! Masked eddy diffusivity coefficient at ocean U- and V-points |
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| 178 | ! ------------------------------------------------------------ |
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| 179 | DO jj = 1, jpjm1 ! NB: has not to be defined on jpj line and jpi row |
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| 180 | DO ji = 1 , fs_jpim1 ! vector opt. |
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| 181 | pahu(ji,jj) = ( 1.0 - MAX( rzero, SIGN( rone, -zs0a(ji ,jj) ) ) ) & |
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| 182 | & * ( 1.0 - MAX( rzero, SIGN( rone, -zs0a(ji+1,jj) ) ) ) * ahiu(ji,jj) |
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| 183 | pahv(ji,jj) = ( 1.0 - MAX( rzero, SIGN( rone, -zs0a(ji,jj ) ) ) ) & |
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| 184 | & * ( 1.0 - MAX( rzero, SIGN( rone,- zs0a(ji,jj+1) ) ) ) * ahiv(ji,jj) |
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| 185 | END DO |
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| 186 | END DO |
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[1922] | 187 | !!gm more readable coding: (and avoid an error in F90 with sign of zero) |
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| 188 | ! DO jj = 1, jpjm1 ! NB: has not to be defined on jpj line and jpi row |
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| 189 | ! DO ji = 1 , fs_jpim1 ! vector opt. |
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| 190 | ! IF( MIN( zs0a(ji,jj) , zs0a(ji+1,jj) ) == 0.e0 ) pahu(ji,jj) = 0.e0 |
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| 191 | ! IF( MIN( zs0a(ji,jj) , zs0a(ji,jj+1) ) == 0.e0 ) pahv(ji,jj) = 0.e0 |
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| 192 | ! END DO |
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| 193 | ! END DO |
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| 194 | !!gm end |
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[3] | 195 | |
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| 196 | ! diffusion |
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| 197 | ! --------- |
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[821] | 198 | CALL lim_hdf_2( zs0ice ) |
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| 199 | CALL lim_hdf_2( zs0sn ) |
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| 200 | CALL lim_hdf_2( zs0a ) |
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| 201 | CALL lim_hdf_2( zs0c0 ) |
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| 202 | CALL lim_hdf_2( zs0c1 ) |
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| 203 | CALL lim_hdf_2( zs0c2 ) |
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| 204 | CALL lim_hdf_2( zs0st ) |
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[3] | 205 | |
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[1922] | 206 | !!gm see comment this can be skipped |
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| 207 | zs0ice(:,:) = MAX( rzero, zs0ice(:,:) * area(:,:) ) !!bug: useless |
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| 208 | zs0sn (:,:) = MAX( rzero, zs0sn (:,:) * area(:,:) ) !!bug: cf /area just below |
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| 209 | zs0a (:,:) = MAX( rzero, zs0a (:,:) * area(:,:) ) !! caution: the suppression of the 2 changes |
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| 210 | zs0c0 (:,:) = MAX( rzero, zs0c0 (:,:) * area(:,:) ) !! the last digit of the results |
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[3] | 211 | zs0c1 (:,:) = MAX( rzero, zs0c1 (:,:) * area(:,:) ) |
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| 212 | zs0c2 (:,:) = MAX( rzero, zs0c2 (:,:) * area(:,:) ) |
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| 213 | zs0st (:,:) = MAX( rzero, zs0st (:,:) * area(:,:) ) |
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| 214 | |
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| 215 | |
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[1922] | 216 | !-------------------------------------------------------------------! |
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| 217 | ! Updating and limitation of sea ice properties after transport ! |
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| 218 | !-------------------------------------------------------------------! |
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[3] | 219 | DO jj = 1, jpj |
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[76] | 220 | zindhe = MAX( 0.e0, SIGN( 1.e0, fcor(1,jj) ) ) ! = 0 for SH, =1 for NH |
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[3] | 221 | DO ji = 1, jpi |
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[1922] | 222 | ! |
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[3] | 223 | ! Recover mean values over the grid squares. |
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| 224 | zs0sn (ji,jj) = MAX( rzero, zs0sn (ji,jj)/area(ji,jj) ) |
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| 225 | zs0ice(ji,jj) = MAX( rzero, zs0ice(ji,jj)/area(ji,jj) ) |
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| 226 | zs0a (ji,jj) = MAX( rzero, zs0a (ji,jj)/area(ji,jj) ) |
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| 227 | zs0c0 (ji,jj) = MAX( rzero, zs0c0 (ji,jj)/area(ji,jj) ) |
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| 228 | zs0c1 (ji,jj) = MAX( rzero, zs0c1 (ji,jj)/area(ji,jj) ) |
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| 229 | zs0c2 (ji,jj) = MAX( rzero, zs0c2 (ji,jj)/area(ji,jj) ) |
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| 230 | zs0st (ji,jj) = MAX( rzero, zs0st (ji,jj)/area(ji,jj) ) |
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| 231 | |
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| 232 | ! Recover in situ values. |
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| 233 | zindb = MAX( rzero, SIGN( rone, zs0a(ji,jj) - epsi06 ) ) |
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| 234 | zacrith = 1.0 - ( zindhe * acrit(1) + ( 1.0 - zindhe ) * acrit(2) ) |
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| 235 | zs0a (ji,jj) = zindb * MIN( zs0a(ji,jj), zacrith ) |
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| 236 | hsnif(ji,jj) = zindb * ( zs0sn(ji,jj) /MAX( zs0a(ji,jj), epsi16 ) ) |
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| 237 | hicif(ji,jj) = zindb * ( zs0ice(ji,jj)/MAX( zs0a(ji,jj), epsi16 ) ) |
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| 238 | zindsn = MAX( rzero, SIGN( rone, hsnif(ji,jj) - epsi06 ) ) |
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| 239 | zindic = MAX( rzero, SIGN( rone, hicif(ji,jj) - epsi03 ) ) |
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| 240 | zindb = MAX( zindsn, zindic ) |
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| 241 | zs0a (ji,jj) = zindb * zs0a(ji,jj) |
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| 242 | frld (ji,jj) = 1.0 - zs0a(ji,jj) |
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| 243 | hsnif(ji,jj) = zindsn * hsnif(ji,jj) |
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| 244 | hicif(ji,jj) = zindic * hicif(ji,jj) |
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| 245 | zusvosn = 1.0/MAX( hsnif(ji,jj) * zs0a(ji,jj), epsi16 ) |
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| 246 | zusvoic = 1.0/MAX( hicif(ji,jj) * zs0a(ji,jj), epsi16 ) |
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| 247 | zignm = MAX( rzero, SIGN( rone, hsndif - hsnif(ji,jj) ) ) |
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| 248 | zrtt = 173.15 * rone |
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| 249 | ztsn = zignm * tbif(ji,jj,1) & |
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| 250 | + ( 1.0 - zignm ) * MIN( MAX( zrtt, rt0_snow * zusvosn * zs0c0(ji,jj)) , tfu(ji,jj) ) |
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| 251 | ztic1 = MIN( MAX( zrtt, rt0_ice * zusvoic * zs0c1(ji,jj) ) , tfu(ji,jj) ) |
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| 252 | ztic2 = MIN( MAX( zrtt, rt0_ice * zusvoic * zs0c2(ji,jj) ) , tfu(ji,jj) ) |
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| 253 | |
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| 254 | tbif(ji,jj,1) = zindsn * ztsn + ( 1.0 - zindsn ) * tfu(ji,jj) |
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| 255 | tbif(ji,jj,2) = zindic * ztic1 + ( 1.0 - zindic ) * tfu(ji,jj) |
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| 256 | tbif(ji,jj,3) = zindic * ztic2 + ( 1.0 - zindic ) * tfu(ji,jj) |
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| 257 | qstoif(ji,jj) = zindb * xlic * zs0st(ji,jj) / MAX( zs0a(ji,jj), epsi16 ) |
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| 258 | END DO |
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| 259 | END DO |
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[1922] | 260 | ! |
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[3] | 261 | ENDIF |
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[1922] | 262 | ! |
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[821] | 263 | END SUBROUTINE lim_trp_2 |
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[3] | 264 | |
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| 265 | |
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[821] | 266 | SUBROUTINE lim_trp_init_2 |
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[3] | 267 | !!------------------------------------------------------------------- |
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[821] | 268 | !! *** ROUTINE lim_trp_init_2 *** |
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[3] | 269 | !! |
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| 270 | !! ** Purpose : initialization of ice advection parameters |
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| 271 | !! |
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[1922] | 272 | !! ** Method : Read the namicetrp namelist and check the parameter |
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| 273 | !! values called at the first timestep (nit000) |
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[3] | 274 | !! |
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| 275 | !! ** input : Namelist namicetrp |
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| 276 | !!------------------------------------------------------------------- |
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| 277 | NAMELIST/namicetrp/ bound |
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| 278 | !!------------------------------------------------------------------- |
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[1922] | 279 | ! |
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| 280 | REWIND ( numnam_ice ) ! Read Namelist namicetrp |
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[3] | 281 | READ ( numnam_ice , namicetrp ) |
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| 282 | IF(lwp) THEN |
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| 283 | WRITE(numout,*) |
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[821] | 284 | WRITE(numout,*) 'lim_trp_init_2 : Ice parameters for advection ' |
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| 285 | WRITE(numout,*) '~~~~~~~~~~~~~~' |
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[76] | 286 | WRITE(numout,*) ' boundary conditions (0. no-slip, 1. free-slip) bound = ', bound |
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[3] | 287 | ENDIF |
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[1922] | 288 | ! |
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[821] | 289 | END SUBROUTINE lim_trp_init_2 |
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[3] | 290 | |
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| 291 | #else |
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| 292 | !!---------------------------------------------------------------------- |
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| 293 | !! Default option Empty Module No sea-ice model |
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| 294 | !!---------------------------------------------------------------------- |
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| 295 | CONTAINS |
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[821] | 296 | SUBROUTINE lim_trp_2 ! Empty routine |
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| 297 | END SUBROUTINE lim_trp_2 |
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[3] | 298 | #endif |
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| 299 | |
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| 300 | !!====================================================================== |
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[821] | 301 | END MODULE limtrp_2 |
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