| 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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| 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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| 10 | #if defined key_lim3 |
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| 11 | !!---------------------------------------------------------------------- |
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| 12 | !! 'key_lim3' LIM3 sea-ice model |
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| 13 | !!---------------------------------------------------------------------- |
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| 14 | !! lim_trp : advection/diffusion process of sea ice |
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| 15 | !!---------------------------------------------------------------------- |
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| 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 ice ! ice variables |
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| 20 | USE limhdf ! ice horizontal diffusion |
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| 21 | USE limvar ! |
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| 22 | USE limadv_prather ! advection scheme (Prather) |
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| 23 | USE limadv_umx ! advection scheme (ultimate-macho) |
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| 24 | ! |
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| 25 | USE in_out_manager ! I/O manager |
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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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| 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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| 30 | USE timing ! Timing |
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| 31 | USE limcons ! conservation tests |
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| 32 | USE limctl ! control prints |
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| 33 | |
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| 34 | IMPLICIT NONE |
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| 35 | PRIVATE |
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| 36 | |
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| 37 | PUBLIC lim_trp ! called by sbcice_lim |
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| 38 | |
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| 39 | INTEGER :: ncfl ! number of ice time step with CFL>1/2 |
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| 40 | |
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| 41 | !! * Substitution |
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| 42 | # include "vectopt_loop_substitute.h90" |
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| 43 | !!---------------------------------------------------------------------- |
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| 44 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2011) |
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| 45 | !! $Id$ |
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| 46 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 47 | !!---------------------------------------------------------------------- |
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| 48 | CONTAINS |
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| 49 | |
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| 50 | SUBROUTINE lim_trp( kt ) |
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| 51 | !!------------------------------------------------------------------- |
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| 52 | !! *** ROUTINE lim_trp *** |
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| 53 | !! |
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| 54 | !! ** purpose : advection/diffusion process of sea ice |
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| 55 | !! |
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| 56 | !! ** method : variables included in the process are scalar, |
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| 57 | !! other values are considered as second order. |
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| 58 | !! For advection, one can choose between |
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| 59 | !! a) an Ultimate-Macho scheme (whose order is defined by nn_limadv_ord) => nn_limadv=0 |
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| 60 | !! b) and a second order Prather scheme => nn_limadv=-1 |
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| 61 | !! |
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| 62 | !! ** action : |
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| 63 | !!--------------------------------------------------------------------- |
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| 64 | INTEGER, INTENT(in) :: kt ! number of iteration |
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| 65 | ! |
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| 66 | INTEGER :: ji, jj, jk, jm, jl, jt ! dummy loop indices |
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| 67 | INTEGER :: initad ! number of sub-timestep for the advection |
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| 68 | REAL(wp) :: zcfl , zusnit ! - - |
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| 69 | CHARACTER(len=80) :: cltmp |
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| 70 | ! |
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| 71 | REAL(wp) :: zvi_b, zsmv_b, zei_b, zfs_b, zfw_b, zft_b |
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| 72 | REAL(wp) :: zdv, zda |
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| 73 | REAL(wp), DIMENSION(jpi,jpj) :: zatold, zeiold, zesold, zsmvold |
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| 74 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: zhimax, zviold, zvsold |
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| 75 | ! --- diffusion --- ! |
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| 76 | INTEGER , PARAMETER :: ihdf_vars = 6 ! Number of variables in which we apply horizontal diffusion |
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| 77 | ! inside limtrp for each ice category , not counting the |
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| 78 | ! variables corresponding to ice_layers |
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| 79 | REAL(wp), DIMENSION(jpi,jpj,jpl*(ihdf_vars+nlay_i)+1) :: zhdfptab |
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| 80 | ! --- ultimate macho only --- ! |
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| 81 | REAL(wp) :: zdt |
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| 82 | REAL(wp), DIMENSION(jpi,jpj) :: zudy, zvdx, zcu_box, zcv_box |
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| 83 | ! --- prather only --- ! |
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| 84 | REAL(wp), DIMENSION(jpi,jpj) :: zarea |
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| 85 | REAL(wp), DIMENSION(jpi,jpj,1) :: z0opw |
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| 86 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: z0ice, z0snw, z0ai, z0es , z0smi , z0oi |
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| 87 | REAL(wp), DIMENSION(jpi,jpj,nlay_i,jpl) :: z0ei |
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| 88 | !! |
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| 89 | !!--------------------------------------------------------------------- |
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| 90 | IF( nn_timing == 1 ) CALL timing_start('limtrp') |
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| 91 | |
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| 92 | |
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| 93 | IF( kt == nit000 .AND. lwp ) THEN |
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| 94 | WRITE(numout,*)'' |
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| 95 | WRITE(numout,*)'limtrp' |
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| 96 | WRITE(numout,*)'~~~~~~' |
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| 97 | ncfl = 0 ! nb of time step with CFL > 1/2 |
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| 98 | ENDIF |
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| 99 | |
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| 100 | CALL lim_var_agg( 1 ) ! integrated values + ato_i |
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| 101 | |
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| 102 | !-------------------------------------! |
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| 103 | ! Advection of sea ice properties ! |
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| 104 | !-------------------------------------! |
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| 105 | |
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| 106 | ! conservation test |
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| 107 | IF( ln_limdiachk ) CALL lim_cons_hsm(0, 'limtrp', zvi_b, zsmv_b, zei_b, zfw_b, zfs_b, zft_b) |
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| 108 | |
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| 109 | ! store old values for diag |
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| 110 | zviold = v_i |
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| 111 | zvsold = v_s |
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| 112 | zsmvold(:,:) = SUM( smv_i(:,:,:), dim=3 ) |
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| 113 | zeiold (:,:) = et_i |
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| 114 | zesold (:,:) = et_s |
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| 115 | |
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| 116 | !--- Thickness correction init. --- ! |
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| 117 | zatold(:,:) = at_i |
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| 118 | DO jl = 1, jpl |
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| 119 | DO jj = 1, jpj |
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| 120 | DO ji = 1, jpi |
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| 121 | rswitch = MAX( 0._wp , SIGN( 1._wp, a_i(ji,jj,jl) - epsi20 ) ) |
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| 122 | ht_i (ji,jj,jl) = v_i (ji,jj,jl) / MAX( a_i(ji,jj,jl) , epsi20 ) * rswitch |
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| 123 | ht_s (ji,jj,jl) = v_s (ji,jj,jl) / MAX( a_i(ji,jj,jl) , epsi20 ) * rswitch |
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| 124 | END DO |
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| 125 | END DO |
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| 126 | END DO |
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| 127 | ! --- Record max of the surrounding ice thicknesses for correction in case advection creates ice too thick --- ! |
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| 128 | zhimax(:,:,:) = ht_i(:,:,:) + ht_s(:,:,:) |
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| 129 | DO jl = 1, jpl |
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| 130 | DO jj = 2, jpjm1 |
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| 131 | DO ji = 2, jpim1 |
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| 132 | zhimax(ji,jj,jl) = MAXVAL( ht_i(ji-1:ji+1,jj-1:jj+1,jl) + ht_s(ji-1:ji+1,jj-1:jj+1,jl) ) |
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| 133 | END DO |
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| 134 | END DO |
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| 135 | CALL lbc_lnk(zhimax(:,:,jl),'T',1.) |
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| 136 | END DO |
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| 137 | |
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| 138 | ! --- If ice drift field is too fast, use an appropriate time step for advection --- ! |
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| 139 | zcfl = MAXVAL( ABS( u_ice(:,:) ) * rdt_ice * r1_e1u(:,:) ) ! CFL test for stability |
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| 140 | zcfl = MAX( zcfl, MAXVAL( ABS( v_ice(:,:) ) * rdt_ice * r1_e2v(:,:) ) ) |
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| 141 | IF( lk_mpp ) CALL mpp_max( zcfl ) |
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| 142 | |
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| 143 | IF( zcfl > 0.5 ) THEN ; initad = 2 ; zusnit = 0.5_wp |
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| 144 | ELSE ; initad = 1 ; zusnit = 1.0_wp |
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| 145 | ENDIF |
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| 146 | |
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| 147 | !! IF( zcfl > 0.5_wp .AND. lwp ) THEN |
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| 148 | !! ncfl = ncfl + 1 |
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| 149 | !! IF( ncfl > 0 ) THEN |
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| 150 | !! WRITE(cltmp,'(i6.1)') ncfl |
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| 151 | !! CALL ctl_warn( 'lim_trp: ncfl= ', TRIM(cltmp), 'advective ice time-step using a split in sub-time-step ') |
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| 152 | !! ENDIF |
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| 153 | !! ENDIF |
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| 154 | |
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| 155 | SELECT CASE ( nn_limadv ) |
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| 156 | |
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| 157 | !=============================! |
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| 158 | CASE ( 0 ) !== Ultimate-MACHO scheme ==! |
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| 159 | !=============================! |
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| 160 | |
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| 161 | |
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| 162 | IF( kt == nit000 .AND. lwp ) THEN |
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| 163 | WRITE(numout,*)'' |
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| 164 | WRITE(numout,*)'lim_adv_umx : Ultimate-MACHO advection scheme' |
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| 165 | WRITE(numout,*)'~~~~~~~~~~~' |
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| 166 | ENDIF |
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| 167 | ! |
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| 168 | zdt = rdt_ice / REAL(initad) |
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| 169 | |
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| 170 | ! transport |
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| 171 | zudy(:,:) = u_ice(:,:) * e2u(:,:) |
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| 172 | zvdx(:,:) = v_ice(:,:) * e1v(:,:) |
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| 173 | |
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| 174 | ! define velocity for advection: u*grad(H) |
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| 175 | DO jj = 2, jpjm1 |
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| 176 | DO ji = fs_2, fs_jpim1 |
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| 177 | IF ( u_ice(ji,jj) * u_ice(ji-1,jj) <= 0._wp ) THEN ; zcu_box(ji,jj) = 0._wp |
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| 178 | ELSEIF( u_ice(ji,jj) > 0._wp ) THEN ; zcu_box(ji,jj) = u_ice(ji-1,jj) |
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| 179 | ELSE ; zcu_box(ji,jj) = u_ice(ji ,jj) |
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| 180 | ENDIF |
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| 181 | |
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| 182 | IF ( v_ice(ji,jj) * v_ice(ji,jj-1) <= 0._wp ) THEN ; zcv_box(ji,jj) = 0._wp |
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| 183 | ELSEIF( v_ice(ji,jj) > 0._wp ) THEN ; zcv_box(ji,jj) = v_ice(ji,jj-1) |
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| 184 | ELSE ; zcv_box(ji,jj) = v_ice(ji,jj ) |
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| 185 | ENDIF |
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| 186 | END DO |
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| 187 | END DO |
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| 188 | |
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| 189 | ! advection |
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| 190 | DO jt = 1, initad |
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| 191 | CALL lim_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, ato_i(:,:) ) ! Open water area |
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| 192 | DO jl = 1, jpl |
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| 193 | CALL lim_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, a_i(:,:,jl) ) ! Ice area |
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| 194 | CALL lim_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, v_i(:,:,jl) ) ! Ice volume |
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| 195 | CALL lim_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, smv_i(:,:,jl) ) ! Salt content |
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| 196 | CALL lim_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, oa_i (:,:,jl) ) ! Age content |
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| 197 | DO jk = 1, nlay_i |
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| 198 | CALL lim_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, e_i(:,:,jk,jl) ) ! Ice heat content |
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| 199 | END DO |
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| 200 | CALL lim_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, v_s(:,:,jl) ) ! Snow volume |
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| 201 | CALL lim_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, e_s(:,:,1,jl) ) ! Snow heat content |
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| 202 | END DO |
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| 203 | END DO |
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| 204 | ! |
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| 205 | at_i(:,:) = a_i(:,:,1) ! total ice fraction |
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| 206 | DO jl = 2, jpl |
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| 207 | at_i(:,:) = at_i(:,:) + a_i(:,:,jl) |
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| 208 | END DO |
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| 209 | ! |
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| 210 | |
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| 211 | !=============================! |
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| 212 | CASE ( -1 ) !== Prather scheme ==! |
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| 213 | !=============================! |
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| 214 | |
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| 215 | |
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| 216 | IF( kt == nit000 .AND. lwp ) THEN |
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| 217 | WRITE(numout,*)'' |
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| 218 | WRITE(numout,*)'lim_adv_xy : Prather advection scheme' |
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| 219 | WRITE(numout,*)'~~~~~~~~~~~' |
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| 220 | ENDIF |
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| 221 | |
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| 222 | zarea(:,:) = e1e2t(:,:) |
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| 223 | |
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| 224 | !------------------------- |
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| 225 | ! transported fields |
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| 226 | !------------------------- |
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| 227 | z0opw(:,:,1) = ato_i(:,:) * e1e2t(:,:) ! Open water area |
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| 228 | DO jl = 1, jpl |
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| 229 | z0snw (:,:,jl) = v_s (:,:, jl) * e1e2t(:,:) ! Snow volume |
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| 230 | z0ice(:,:,jl) = v_i (:,:, jl) * e1e2t(:,:) ! Ice volume |
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| 231 | z0ai (:,:,jl) = a_i (:,:, jl) * e1e2t(:,:) ! Ice area |
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| 232 | z0smi (:,:,jl) = smv_i(:,:, jl) * e1e2t(:,:) ! Salt content |
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| 233 | z0oi (:,:,jl) = oa_i (:,:, jl) * e1e2t(:,:) ! Age content |
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| 234 | z0es (:,:,jl) = e_s (:,:,1,jl) * e1e2t(:,:) ! Snow heat content |
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| 235 | DO jk = 1, nlay_i |
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| 236 | z0ei (:,:,jk,jl) = e_i (:,:,jk,jl) * e1e2t(:,:) ! Ice heat content |
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| 237 | END DO |
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| 238 | END DO |
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| 239 | |
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| 240 | |
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| 241 | IF( MOD( ( kt - 1) / nn_fsbc , 2 ) == 0 ) THEN !== odd ice time step: adv_x then adv_y ==! |
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| 242 | DO jt = 1, initad |
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| 243 | CALL lim_adv_x( zusnit, u_ice, 1._wp, zarea, z0opw (:,:,1), sxopw(:,:), & !--- ice open water area |
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| 244 | & sxxopw(:,:) , syopw(:,:), syyopw(:,:), sxyopw(:,:) ) |
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| 245 | CALL lim_adv_y( zusnit, v_ice, 0._wp, zarea, z0opw (:,:,1), sxopw(:,:), & |
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| 246 | & sxxopw(:,:) , syopw(:,:), syyopw(:,:), sxyopw(:,:) ) |
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| 247 | DO jl = 1, jpl |
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| 248 | CALL lim_adv_x( zusnit, u_ice, 1._wp, zarea, z0ice (:,:,jl), sxice(:,:,jl), & !--- ice volume --- |
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| 249 | & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) ) |
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| 250 | CALL lim_adv_y( zusnit, v_ice, 0._wp, zarea, z0ice (:,:,jl), sxice(:,:,jl), & |
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| 251 | & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) ) |
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| 252 | CALL lim_adv_x( zusnit, u_ice, 1._wp, zarea, z0snw (:,:,jl), sxsn (:,:,jl), & !--- snow volume --- |
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| 253 | & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) ) |
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| 254 | CALL lim_adv_y( zusnit, v_ice, 0._wp, zarea, z0snw (:,:,jl), sxsn (:,:,jl), & |
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| 255 | & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) ) |
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| 256 | CALL lim_adv_x( zusnit, u_ice, 1._wp, zarea, z0smi (:,:,jl), sxsal(:,:,jl), & !--- ice salinity --- |
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| 257 | & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) ) |
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| 258 | CALL lim_adv_y( zusnit, v_ice, 0._wp, zarea, z0smi (:,:,jl), sxsal(:,:,jl), & |
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| 259 | & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) ) |
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| 260 | CALL lim_adv_x( zusnit, u_ice, 1._wp, zarea, z0oi (:,:,jl), sxage(:,:,jl), & !--- ice age --- |
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| 261 | & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) ) |
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| 262 | CALL lim_adv_y( zusnit, v_ice, 0._wp, zarea, z0oi (:,:,jl), sxage(:,:,jl), & |
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| 263 | & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) ) |
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| 264 | CALL lim_adv_x( zusnit, u_ice, 1._wp, zarea, z0ai (:,:,jl), sxa (:,:,jl), & !--- ice concentrations --- |
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| 265 | & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) ) |
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| 266 | CALL lim_adv_y( zusnit, v_ice, 0._wp, zarea, z0ai (:,:,jl), sxa (:,:,jl), & |
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| 267 | & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) ) |
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| 268 | CALL lim_adv_x( zusnit, u_ice, 1._wp, zarea, z0es (:,:,jl), sxc0 (:,:,jl), & !--- snow heat contents --- |
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| 269 | & sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) ) |
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| 270 | CALL lim_adv_y( zusnit, v_ice, 0._wp, zarea, z0es (:,:,jl), sxc0 (:,:,jl), & |
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| 271 | & sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) ) |
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| 272 | DO jk = 1, nlay_i !--- ice heat contents --- |
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| 273 | CALL lim_adv_x( zusnit, u_ice, 1._wp, zarea, z0ei(:,:,jk,jl), sxe (:,:,jk,jl), & |
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| 274 | & sxxe(:,:,jk,jl), sye (:,:,jk,jl), & |
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| 275 | & syye(:,:,jk,jl), sxye(:,:,jk,jl) ) |
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| 276 | CALL lim_adv_y( zusnit, v_ice, 0._wp, zarea, z0ei(:,:,jk,jl), sxe (:,:,jk,jl), & |
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| 277 | & sxxe(:,:,jk,jl), sye (:,:,jk,jl), & |
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| 278 | & syye(:,:,jk,jl), sxye(:,:,jk,jl) ) |
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| 279 | END DO |
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| 280 | END DO |
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| 281 | END DO |
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| 282 | ELSE |
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| 283 | DO jt = 1, initad |
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| 284 | CALL lim_adv_y( zusnit, v_ice, 1._wp, zarea, z0opw (:,:,1), sxopw(:,:), & !--- ice open water area |
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| 285 | & sxxopw(:,:) , syopw(:,:), syyopw(:,:), sxyopw(:,:) ) |
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| 286 | CALL lim_adv_x( zusnit, u_ice, 0._wp, zarea, z0opw (:,:,1), sxopw(:,:), & |
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| 287 | & sxxopw(:,:) , syopw(:,:), syyopw(:,:), sxyopw(:,:) ) |
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| 288 | DO jl = 1, jpl |
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| 289 | CALL lim_adv_y( zusnit, v_ice, 1._wp, zarea, z0ice (:,:,jl), sxice(:,:,jl), & !--- ice volume --- |
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| 290 | & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) ) |
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| 291 | CALL lim_adv_x( zusnit, u_ice, 0._wp, zarea, z0ice (:,:,jl), sxice(:,:,jl), & |
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| 292 | & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) ) |
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| 293 | CALL lim_adv_y( zusnit, v_ice, 1._wp, zarea, z0snw (:,:,jl), sxsn (:,:,jl), & !--- snow volume --- |
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| 294 | & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) ) |
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| 295 | CALL lim_adv_x( zusnit, u_ice, 0._wp, zarea, z0snw (:,:,jl), sxsn (:,:,jl), & |
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| 296 | & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) ) |
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| 297 | CALL lim_adv_y( zusnit, v_ice, 1._wp, zarea, z0smi (:,:,jl), sxsal(:,:,jl), & !--- ice salinity --- |
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| 298 | & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) ) |
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| 299 | CALL lim_adv_x( zusnit, u_ice, 0._wp, zarea, z0smi (:,:,jl), sxsal(:,:,jl), & |
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| 300 | & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) ) |
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| 301 | CALL lim_adv_y( zusnit, v_ice, 1._wp, zarea, z0oi (:,:,jl), sxage(:,:,jl), & !--- ice age --- |
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| 302 | & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) ) |
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| 303 | CALL lim_adv_x( zusnit, u_ice, 0._wp, zarea, z0oi (:,:,jl), sxage(:,:,jl), & |
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| 304 | & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) ) |
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| 305 | CALL lim_adv_y( zusnit, v_ice, 1._wp, zarea, z0ai (:,:,jl), sxa (:,:,jl), & !--- ice concentrations --- |
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| 306 | & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) ) |
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| 307 | CALL lim_adv_x( zusnit, u_ice, 0._wp, zarea, z0ai (:,:,jl), sxa (:,:,jl), & |
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| 308 | & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) ) |
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| 309 | CALL lim_adv_y( zusnit, v_ice, 1._wp, zarea, z0es (:,:,jl), sxc0 (:,:,jl), & !--- snow heat contents --- |
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| 310 | & sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) ) |
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| 311 | CALL lim_adv_x( zusnit, u_ice, 0._wp, zarea, z0es (:,:,jl), sxc0 (:,:,jl), & |
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| 312 | & sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) ) |
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| 313 | DO jk = 1, nlay_i !--- ice heat contents --- |
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| 314 | CALL lim_adv_y( zusnit, v_ice, 1._wp, zarea, z0ei(:,:,jk,jl), sxe (:,:,jk,jl), & |
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| 315 | & sxxe(:,:,jk,jl), sye (:,:,jk,jl), & |
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| 316 | & syye(:,:,jk,jl), sxye(:,:,jk,jl) ) |
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| 317 | CALL lim_adv_x( zusnit, u_ice, 0._wp, zarea, z0ei(:,:,jk,jl), sxe (:,:,jk,jl), & |
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| 318 | & sxxe(:,:,jk,jl), sye (:,:,jk,jl), & |
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| 319 | & syye(:,:,jk,jl), sxye(:,:,jk,jl) ) |
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| 320 | END DO |
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| 321 | END DO |
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| 322 | END DO |
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| 323 | ENDIF |
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| 324 | |
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| 325 | !------------------------------------------- |
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| 326 | ! Recover the properties from their contents |
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| 327 | !------------------------------------------- |
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| 328 | ato_i(:,:) = z0opw(:,:,1) * r1_e1e2t(:,:) |
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| 329 | DO jl = 1, jpl |
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| 330 | v_i (:,:, jl) = z0ice(:,:,jl) * r1_e1e2t(:,:) |
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| 331 | v_s (:,:, jl) = z0snw(:,:,jl) * r1_e1e2t(:,:) |
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| 332 | smv_i(:,:, jl) = z0smi(:,:,jl) * r1_e1e2t(:,:) |
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| 333 | oa_i (:,:, jl) = z0oi (:,:,jl) * r1_e1e2t(:,:) |
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| 334 | a_i (:,:, jl) = z0ai (:,:,jl) * r1_e1e2t(:,:) |
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| 335 | e_s (:,:,1,jl) = z0es (:,:,jl) * r1_e1e2t(:,:) |
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| 336 | DO jk = 1, nlay_i |
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| 337 | e_i(:,:,jk,jl) = z0ei(:,:,jk,jl) * r1_e1e2t(:,:) |
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| 338 | END DO |
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| 339 | END DO |
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| 340 | |
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| 341 | at_i(:,:) = a_i(:,:,1) ! total ice fraction |
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| 342 | DO jl = 2, jpl |
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| 343 | at_i(:,:) = at_i(:,:) + a_i(:,:,jl) |
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| 344 | END DO |
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| 345 | |
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| 346 | |
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| 347 | END SELECT |
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| 348 | |
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| 349 | !------------------------------! |
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| 350 | ! Diffusion of Ice fields |
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| 351 | !------------------------------! |
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| 352 | IF( nn_ahi0 /= -1 .AND. nn_limdyn == 2 ) THEN |
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| 353 | ! |
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| 354 | ! --- Prepare diffusion for variables with categories --- ! |
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| 355 | ! mask eddy diffusivity coefficient at ocean U- and V-points |
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| 356 | jm=1 |
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| 357 | DO jl = 1, jpl |
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| 358 | DO jj = 1, jpjm1 ! NB: has not to be defined on jpj line and jpi row |
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| 359 | DO ji = 1 , fs_jpim1 |
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| 360 | pahu3D(ji,jj,jl) = ( 1._wp - MAX( 0._wp, SIGN( 1._wp, -a_i(ji ,jj, jl ) ) ) ) & |
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| 361 | & * ( 1._wp - MAX( 0._wp, SIGN( 1._wp, -a_i(ji+1,jj, jl ) ) ) ) * ahiu(ji,jj) |
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| 362 | pahv3D(ji,jj,jl) = ( 1._wp - MAX( 0._wp, SIGN( 1._wp, -a_i(ji, jj, jl ) ) ) ) & |
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| 363 | & * ( 1._wp - MAX( 0._wp, SIGN( 1._wp,- a_i(ji, jj+1,jl ) ) ) ) * ahiv(ji,jj) |
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| 364 | END DO |
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| 365 | END DO |
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| 366 | |
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| 367 | zhdfptab(:,:,jm)= a_i (:,:, jl); jm = jm + 1 |
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| 368 | zhdfptab(:,:,jm)= v_i (:,:, jl); jm = jm + 1 |
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| 369 | zhdfptab(:,:,jm)= v_s (:,:, jl); jm = jm + 1 |
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| 370 | zhdfptab(:,:,jm)= smv_i(:,:, jl); jm = jm + 1 |
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| 371 | zhdfptab(:,:,jm)= oa_i (:,:, jl); jm = jm + 1 |
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| 372 | zhdfptab(:,:,jm)= e_s (:,:,1,jl); jm = jm + 1 |
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| 373 | ! Sample of adding more variables to apply lim_hdf (ihdf_vars must be increased) |
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| 374 | ! zhdfptab(:,:,jm) = variable_1 (:,:,1,jl); jm = jm + 1 |
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| 375 | ! zhdfptab(:,:,jm) = variable_2 (:,:,1,jl); jm = jm + 1 |
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| 376 | DO jk = 1, nlay_i |
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| 377 | zhdfptab(:,:,jm)=e_i(:,:,jk,jl); jm= jm+1 |
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| 378 | END DO |
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| 379 | END DO |
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| 380 | |
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| 381 | ! --- Prepare diffusion for open water area --- ! |
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| 382 | ! mask eddy diffusivity coefficient at ocean U- and V-points |
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| 383 | DO jj = 1, jpjm1 ! NB: has not to be defined on jpj line and jpi row |
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| 384 | DO ji = 1 , fs_jpim1 |
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| 385 | pahu3D(ji,jj,jpl+1) = ( 1._wp - MAX( 0._wp, SIGN( 1._wp, -at_i(ji ,jj) ) ) ) & |
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| 386 | & * ( 1._wp - MAX( 0._wp, SIGN( 1._wp, -at_i(ji+1,jj) ) ) ) * ahiu(ji,jj) |
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| 387 | pahv3D(ji,jj,jpl+1) = ( 1._wp - MAX( 0._wp, SIGN( 1._wp, -at_i(ji,jj ) ) ) ) & |
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| 388 | & * ( 1._wp - MAX( 0._wp, SIGN( 1._wp,- at_i(ji,jj+1) ) ) ) * ahiv(ji,jj) |
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| 389 | END DO |
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| 390 | END DO |
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| 391 | ! |
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| 392 | zhdfptab(:,:,jm)= ato_i (:,:); |
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| 393 | |
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| 394 | ! --- Apply diffusion --- ! |
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| 395 | CALL lim_hdf( zhdfptab, ihdf_vars ) |
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| 396 | |
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| 397 | ! --- Recover properties --- ! |
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| 398 | jm=1 |
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| 399 | DO jl = 1, jpl |
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| 400 | a_i (:,:, jl) = zhdfptab(:,:,jm); jm = jm + 1 |
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| 401 | v_i (:,:, jl) = zhdfptab(:,:,jm); jm = jm + 1 |
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| 402 | v_s (:,:, jl) = zhdfptab(:,:,jm); jm = jm + 1 |
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| 403 | smv_i(:,:, jl) = zhdfptab(:,:,jm); jm = jm + 1 |
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| 404 | oa_i (:,:, jl) = zhdfptab(:,:,jm); jm = jm + 1 |
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| 405 | e_s (:,:,1,jl) = zhdfptab(:,:,jm); jm = jm + 1 |
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| 406 | ! Sample of adding more variables to apply lim_hdf |
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| 407 | ! variable_1 (:,:,1,jl) = zhdfptab(:,:, jm ) ; jm + 1 |
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| 408 | ! variable_2 (:,:,1,jl) = zhdfptab(:,:, jm ) ; jm + 1 |
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| 409 | DO jk = 1, nlay_i |
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| 410 | e_i(:,:,jk,jl) = zhdfptab(:,:,jm);jm= jm + 1 |
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| 411 | END DO |
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| 412 | END DO |
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| 413 | ato_i (:,:) = zhdfptab(:,:,jm) |
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| 414 | |
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| 415 | ENDIF |
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| 416 | |
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| 417 | ! --- diags --- |
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| 418 | DO jj = 1, jpj |
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| 419 | DO ji = 1, jpi |
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| 420 | diag_trp_ei (ji,jj) = ( SUM( e_i (ji,jj,1:nlay_i,:) ) - zeiold(ji,jj) ) * r1_rdtice |
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| 421 | diag_trp_es (ji,jj) = ( SUM( e_s (ji,jj,1:nlay_s,:) ) - zesold(ji,jj) ) * r1_rdtice |
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| 422 | diag_trp_smv(ji,jj) = ( SUM( smv_i(ji,jj,:) ) - zsmvold(ji,jj) ) * r1_rdtice |
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| 423 | diag_trp_vi (ji,jj) = SUM( v_i(ji,jj,:) - zviold(ji,jj,:) ) * r1_rdtice |
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| 424 | diag_trp_vs (ji,jj) = SUM( v_s(ji,jj,:) - zvsold(ji,jj,:) ) * r1_rdtice |
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| 425 | END DO |
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| 426 | END DO |
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| 427 | |
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| 428 | IF( nn_limdyn == 2) THEN |
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| 429 | |
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| 430 | ! zap small areas |
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| 431 | CALL lim_var_zapsmall |
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| 432 | |
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| 433 | !--- Thickness correction in case too high --- ! |
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| 434 | DO jl = 1, jpl |
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| 435 | DO jj = 1, jpj |
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| 436 | DO ji = 1, jpi |
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| 437 | |
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| 438 | IF ( v_i(ji,jj,jl) > 0._wp ) THEN |
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| 439 | |
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| 440 | rswitch = MAX( 0._wp , SIGN( 1._wp, a_i(ji,jj,jl) - epsi20 ) ) |
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| 441 | ht_i (ji,jj,jl) = v_i (ji,jj,jl) / MAX( a_i(ji,jj,jl) , epsi20 ) * rswitch |
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| 442 | ht_s (ji,jj,jl) = v_s (ji,jj,jl) / MAX( a_i(ji,jj,jl) , epsi20 ) * rswitch |
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| 443 | |
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| 444 | zdv = v_i(ji,jj,jl) + v_s(ji,jj,jl) - zviold(ji,jj,jl) - zvsold(ji,jj,jl) |
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| 445 | |
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| 446 | IF ( ( zdv > 0.0 .AND. (ht_i(ji,jj,jl)+ht_s(ji,jj,jl)) > zhimax(ji,jj,jl) .AND. zatold(ji,jj) < 0.80 ) .OR. & |
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| 447 | & ( zdv <= 0.0 .AND. (ht_i(ji,jj,jl)+ht_s(ji,jj,jl)) > zhimax(ji,jj,jl) ) ) THEN |
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| 448 | |
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| 449 | rswitch = MAX( 0._wp, SIGN( 1._wp, zhimax(ji,jj,jl) - epsi20 ) ) |
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| 450 | a_i(ji,jj,jl) = rswitch * ( v_i(ji,jj,jl) + v_s(ji,jj,jl) ) / MAX( zhimax(ji,jj,jl), epsi20 ) |
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| 451 | |
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| 452 | ! small correction due to *rswitch for a_i |
|---|
| 453 | v_i (ji,jj,jl) = rswitch * v_i (ji,jj,jl) |
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| 454 | v_s (ji,jj,jl) = rswitch * v_s (ji,jj,jl) |
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| 455 | smv_i(ji,jj,jl) = rswitch * smv_i(ji,jj,jl) |
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| 456 | e_s(ji,jj,1,jl) = rswitch * e_s(ji,jj,1,jl) |
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| 457 | e_i(ji,jj,1:nlay_i,jl) = rswitch * e_i(ji,jj,1:nlay_i,jl) |
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| 458 | |
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| 459 | ENDIF |
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| 460 | |
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| 461 | ENDIF |
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| 462 | |
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| 463 | END DO |
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| 464 | END DO |
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| 465 | END DO |
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| 466 | ! ------------------------------------------------- |
|---|
| 467 | |
|---|
| 468 | ! Force the upper limit of ht_i to always be < hi_max (99 m). |
|---|
| 469 | DO jj = 1, jpj |
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| 470 | DO ji = 1, jpi |
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| 471 | rswitch = MAX( 0._wp , SIGN( 1._wp, ht_i(ji,jj,jpl) - epsi20 ) ) |
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| 472 | ht_i(ji,jj,jpl) = MIN( ht_i(ji,jj,jpl) , hi_max(jpl) ) |
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| 473 | a_i (ji,jj,jpl) = v_i(ji,jj,jpl) / MAX( ht_i(ji,jj,jpl) , epsi20 ) * rswitch |
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| 474 | END DO |
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| 475 | END DO |
|---|
| 476 | |
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| 477 | ENDIF |
|---|
| 478 | |
|---|
| 479 | !------------------------------------------------------------ |
|---|
| 480 | ! Impose a_i < amax if no ridging/rafting or in mono-category |
|---|
| 481 | !------------------------------------------------------------ |
|---|
| 482 | ! |
|---|
| 483 | at_i(:,:) = SUM( a_i(:,:,:), dim=3 ) |
|---|
| 484 | IF ( nn_limdyn == 1 .OR. ( ( nn_monocat == 2 ) .AND. ( jpl == 1 ) ) ) THEN ! simple conservative piling, comparable with LIM2 |
|---|
| 485 | DO jl = 1, jpl |
|---|
| 486 | DO jj = 1, jpj |
|---|
| 487 | DO ji = 1, jpi |
|---|
| 488 | rswitch = MAX( 0._wp, SIGN( 1._wp, at_i(ji,jj) - epsi20 ) ) |
|---|
| 489 | zda = rswitch * MIN( rn_amax_2d(ji,jj) - at_i(ji,jj), 0._wp ) & |
|---|
| 490 | & * a_i(ji,jj,jl) / MAX( at_i(ji,jj), epsi20 ) |
|---|
| 491 | a_i(ji,jj,jl) = a_i(ji,jj,jl) + zda |
|---|
| 492 | END DO |
|---|
| 493 | END DO |
|---|
| 494 | END DO |
|---|
| 495 | ENDIF |
|---|
| 496 | |
|---|
| 497 | ! --- agglomerate variables ----------------- |
|---|
| 498 | vt_i(:,:) = SUM( v_i(:,:,:), dim=3 ) |
|---|
| 499 | vt_s(:,:) = SUM( v_s(:,:,:), dim=3 ) |
|---|
| 500 | at_i(:,:) = SUM( a_i(:,:,:), dim=3 ) |
|---|
| 501 | |
|---|
| 502 | ! --- open water = 1 if at_i=0 -------------------------------- |
|---|
| 503 | WHERE( at_i == 0._wp ) ato_i = 1._wp |
|---|
| 504 | |
|---|
| 505 | ! conservation test |
|---|
| 506 | IF( ln_limdiachk ) CALL lim_cons_hsm(1, 'limtrp', zvi_b, zsmv_b, zei_b, zfw_b, zfs_b, zft_b) |
|---|
| 507 | |
|---|
| 508 | ! ------------------------------------------------- |
|---|
| 509 | ! control prints |
|---|
| 510 | ! ------------------------------------------------- |
|---|
| 511 | IF( ln_limctl ) CALL lim_prt( kt, iiceprt, jiceprt,-1, ' - ice dyn & trp - ' ) |
|---|
| 512 | ! |
|---|
| 513 | ! |
|---|
| 514 | IF( nn_timing == 1 ) CALL timing_stop('limtrp') |
|---|
| 515 | ! |
|---|
| 516 | END SUBROUTINE lim_trp |
|---|
| 517 | |
|---|
| 518 | #else |
|---|
| 519 | !!---------------------------------------------------------------------- |
|---|
| 520 | !! Default option Empty Module No sea-ice model |
|---|
| 521 | !!---------------------------------------------------------------------- |
|---|
| 522 | CONTAINS |
|---|
| 523 | SUBROUTINE lim_trp ! Empty routine |
|---|
| 524 | END SUBROUTINE lim_trp |
|---|
| 525 | #endif |
|---|
| 526 | !!====================================================================== |
|---|
| 527 | END MODULE limtrp |
|---|
| 528 | |
|---|
