| 1 | MODULE iceadv |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE iceadv *** |
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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 | !! ice_adv : 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 , ONLY : nn_fsbc ! frequency of sea-ice call |
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| 19 | USE ice ! sea-ice: variables |
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| 20 | USE icevar ! sea-ice: operations |
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| 21 | USE iceadv_prather ! sea-ice: advection scheme (Prather) |
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| 22 | USE iceadv_umx ! sea-ice: advection scheme (ultimate-macho) |
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| 23 | USE icectl ! sea-ice: control prints |
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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 iom ! |
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| 32 | |
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| 33 | IMPLICIT NONE |
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| 34 | PRIVATE |
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| 35 | |
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| 36 | PUBLIC ice_adv ! called by icestp |
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| 37 | |
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| 38 | INTEGER :: ncfl ! number of ice time step with CFL>1/2 |
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| 39 | |
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| 40 | !! * Substitution |
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| 41 | # include "vectopt_loop_substitute.h90" |
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| 42 | !!---------------------------------------------------------------------- |
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| 43 | !! NEMO/ICE 4.0 , NEMO Consortium (2017) |
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| 44 | !! $Id: iceadv.F90 8373 2017-07-25 17:44:54Z clem $ |
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| 45 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 46 | !!---------------------------------------------------------------------- |
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| 47 | CONTAINS |
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| 48 | |
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| 49 | SUBROUTINE ice_adv( kt ) |
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| 50 | !!---------------------------------------------------------------------- |
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| 51 | !! *** ROUTINE ice_adv *** |
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| 52 | !! |
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| 53 | !! ** purpose : advection/diffusion process of sea ice |
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| 54 | !! |
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| 55 | !! ** method : variables included in the process are scalar, |
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| 56 | !! other values are considered as second order. |
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| 57 | !! For advection, one can choose between |
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| 58 | !! a) an Ultimate-Macho scheme (whose order is defined by nn_limadv_ord) => nn_limadv=0 |
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| 59 | !! b) and a second order Prather scheme => nn_limadv=-1 |
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| 60 | !! |
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| 61 | !! ** action : |
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| 62 | !!---------------------------------------------------------------------- |
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| 63 | INTEGER, INTENT(in) :: kt ! number of iteration |
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| 64 | ! |
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| 65 | INTEGER :: ji, jj, jk, jl, jt ! dummy loop indices |
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| 66 | INTEGER :: initad ! number of sub-timestep for the advection |
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| 67 | REAL(wp) :: zcfl , zusnit ! - - |
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| 68 | CHARACTER(len=80) :: cltmp |
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| 69 | ! |
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| 70 | REAL(wp) :: zvi_b, zsmv_b, zei_b, zfs_b, zfw_b, zft_b |
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| 71 | REAL(wp) :: zdv |
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| 72 | REAL(wp), DIMENSION(jpi,jpj) :: zatold, zeiold, zesold, zsmvold |
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| 73 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: zhimax, zviold, zvsold |
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| 74 | ! --- ultimate macho only --- ! |
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| 75 | REAL(wp) :: zdt |
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| 76 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zudy, zvdx, zcu_box, zcv_box |
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| 77 | ! --- prather only --- ! |
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| 78 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zarea |
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| 79 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: z0opw |
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| 80 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: z0ice, z0snw, z0ai, z0es , z0smi , z0oi |
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| 81 | ! MV MP 2016 |
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| 82 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: z0ap , z0vp |
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| 83 | ! END MV MP 2016 |
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| 84 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:,:) :: z0ei |
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| 85 | !!--------------------------------------------------------------------- |
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| 86 | IF( nn_timing == 1 ) CALL timing_start('iceadv') |
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| 87 | |
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| 88 | IF( kt == nit000 .AND. lwp ) THEN |
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| 89 | WRITE(numout,*)'' |
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| 90 | WRITE(numout,*)'iceadv : sea-ice advection' |
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| 91 | WRITE(numout,*)'~~~~~~~' |
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| 92 | ncfl = 0 ! nb of time step with CFL > 1/2 |
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| 93 | ENDIF |
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| 94 | |
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| 95 | CALL ice_var_agg( 1 ) ! integrated values + ato_i |
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| 96 | |
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| 97 | !-------------------------------------! |
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| 98 | ! Advection of sea ice properties ! |
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| 99 | !-------------------------------------! |
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| 100 | |
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| 101 | ! conservation test |
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| 102 | IF( ln_limdiachk ) CALL ice_cons_hsm(0, 'iceadv', zvi_b, zsmv_b, zei_b, zfw_b, zfs_b, zft_b) |
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| 103 | |
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| 104 | ! store old values for diag |
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| 105 | zviold = v_i |
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| 106 | zvsold = v_s |
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| 107 | zsmvold(:,:) = SUM( smv_i(:,:,:), dim=3 ) |
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| 108 | zeiold (:,:) = et_i |
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| 109 | zesold (:,:) = et_s |
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| 110 | |
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| 111 | !--- Thickness correction init. --- ! |
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| 112 | zatold(:,:) = at_i |
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| 113 | WHERE( a_i(:,:,:) >= epsi20 ) |
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| 114 | ht_i(:,:,:) = v_i(:,:,:) / a_i(:,:,:) |
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| 115 | ht_s(:,:,:) = v_s(:,:,:) / a_i(:,:,:) |
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| 116 | ELSEWHERE |
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| 117 | ht_i(:,:,:) = 0._wp |
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| 118 | ht_s(:,:,:) = 0._wp |
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| 119 | END WHERE |
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| 120 | |
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| 121 | ! --- Record max of the surrounding ice thicknesses for correction in case advection creates ice too thick --- ! |
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| 122 | zhimax(:,:,:) = ht_i(:,:,:) + ht_s(:,:,:) |
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| 123 | DO jl = 1, jpl |
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| 124 | DO jj = 2, jpjm1 |
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| 125 | DO ji = 2, jpim1 |
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| 126 | !!gm use of MAXVAL here is very probably less efficient than expending the 9 values |
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| 127 | zhimax(ji,jj,jl) = MAX( epsi20, 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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| 128 | END DO |
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| 129 | END DO |
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| 130 | END DO |
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| 131 | CALL lbc_lnk( zhimax(:,:,:), 'T', 1. ) |
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| 132 | |
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| 133 | ! --- If ice drift field is too fast, use an appropriate time step for advection --- ! |
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| 134 | zcfl = MAXVAL( ABS( u_ice(:,:) ) * rdt_ice * r1_e1u(:,:) ) ! CFL test for stability |
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| 135 | zcfl = MAX( zcfl, MAXVAL( ABS( v_ice(:,:) ) * rdt_ice * r1_e2v(:,:) ) ) |
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| 136 | IF( lk_mpp ) CALL mpp_max( zcfl ) |
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| 137 | |
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| 138 | IF( zcfl > 0.5 ) THEN ; initad = 2 ; zusnit = 0.5_wp |
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| 139 | ELSE ; initad = 1 ; zusnit = 1.0_wp |
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| 140 | ENDIF |
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| 141 | |
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| 142 | !! IF( zcfl > 0.5_wp .AND. lwp ) THEN |
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| 143 | !! ncfl = ncfl + 1 |
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| 144 | !! IF( ncfl > 0 ) THEN |
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| 145 | !! WRITE(cltmp,'(i6.1)') ncfl |
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| 146 | !! CALL ctl_warn( 'ice_adv: ncfl= ', TRIM(cltmp), 'advective ice time-step using a split in sub-time-step ') |
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| 147 | !! ENDIF |
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| 148 | !! ENDIF |
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| 149 | |
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| 150 | SELECT CASE ( nn_limadv ) |
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| 151 | |
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| 152 | !=============================! |
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| 153 | CASE ( 0 ) !== Ultimate-MACHO scheme ==! |
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| 154 | !=============================! |
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| 155 | |
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| 156 | ALLOCATE( zudy(jpi,jpj) , zvdx(jpi,jpj) , zcu_box(jpi,jpj) , zcv_box(jpi,jpj) ) |
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| 157 | |
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| 158 | IF( kt == nit000 .AND. lwp ) THEN |
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| 159 | WRITE(numout,*)'' |
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| 160 | WRITE(numout,*)'ice_adv_umx : Ultimate-MACHO advection scheme' |
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| 161 | WRITE(numout,*)'~~~~~~~~~~~' |
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| 162 | ENDIF |
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| 163 | ! |
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| 164 | zdt = rdt_ice / REAL(initad) |
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| 165 | |
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| 166 | ! transport |
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| 167 | zudy(:,:) = u_ice(:,:) * e2u(:,:) |
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| 168 | zvdx(:,:) = v_ice(:,:) * e1v(:,:) |
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| 169 | |
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| 170 | ! define velocity for advection: u*grad(H) |
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| 171 | DO jj = 2, jpjm1 |
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| 172 | DO ji = fs_2, fs_jpim1 |
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| 173 | IF ( u_ice(ji,jj) * u_ice(ji-1,jj) <= 0._wp ) THEN ; zcu_box(ji,jj) = 0._wp |
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| 174 | ELSEIF( u_ice(ji,jj) > 0._wp ) THEN ; zcu_box(ji,jj) = u_ice(ji-1,jj) |
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| 175 | ELSE ; zcu_box(ji,jj) = u_ice(ji ,jj) |
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| 176 | ENDIF |
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| 177 | |
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| 178 | IF ( v_ice(ji,jj) * v_ice(ji,jj-1) <= 0._wp ) THEN ; zcv_box(ji,jj) = 0._wp |
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| 179 | ELSEIF( v_ice(ji,jj) > 0._wp ) THEN ; zcv_box(ji,jj) = v_ice(ji,jj-1) |
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| 180 | ELSE ; zcv_box(ji,jj) = v_ice(ji,jj ) |
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| 181 | ENDIF |
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| 182 | END DO |
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| 183 | END DO |
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| 184 | |
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| 185 | ! advection |
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| 186 | DO jt = 1, initad |
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| 187 | CALL ice_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, ato_i(:,:) ) ! Open water area |
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| 188 | DO jl = 1, jpl |
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| 189 | CALL ice_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, a_i(:,:,jl) ) ! Ice area |
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| 190 | CALL ice_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, v_i(:,:,jl) ) ! Ice volume |
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| 191 | CALL ice_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, smv_i(:,:,jl) ) ! Salt content |
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| 192 | CALL ice_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, oa_i (:,:,jl) ) ! Age content |
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| 193 | DO jk = 1, nlay_i |
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| 194 | CALL ice_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, e_i(:,:,jk,jl) ) ! Ice heat content |
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| 195 | END DO |
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| 196 | CALL ice_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, v_s(:,:,jl) ) ! Snow volume |
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| 197 | CALL ice_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, e_s(:,:,1,jl) ) ! Snow heat content |
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| 198 | ! MV MP 2016 |
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| 199 | IF ( nn_pnd_scheme > 0 ) THEN |
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| 200 | CALL ice_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, a_ip(:,:,jl) ) ! Melt pond fraction |
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| 201 | CALL ice_adv_umx( kt, zdt, zudy, zvdx, zcu_box, zcv_box, v_ip(:,:,jl) ) ! Melt pond volume |
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| 202 | ENDIF |
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| 203 | ! END MV MP 2016 |
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| 204 | END DO |
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| 205 | END DO |
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| 206 | ! |
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| 207 | at_i(:,:) = a_i(:,:,1) ! total ice fraction |
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| 208 | DO jl = 2, jpl |
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| 209 | at_i(:,:) = at_i(:,:) + a_i(:,:,jl) |
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| 210 | END DO |
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| 211 | ! |
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| 212 | DEALLOCATE( zudy, zvdx, zcu_box, zcv_box ) |
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| 213 | |
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| 214 | !=============================! |
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| 215 | CASE ( -1 ) !== Prather scheme ==! |
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| 216 | !=============================! |
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| 217 | |
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| 218 | ALLOCATE( zarea(jpi,jpj) , z0opw(jpi,jpj, 1 ) , & |
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| 219 | & z0ice(jpi,jpj,jpl) , z0snw(jpi,jpj,jpl) , z0ai(jpi,jpj,jpl) , z0es(jpi,jpj,jpl) , & |
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| 220 | & z0smi(jpi,jpj,jpl) , z0oi (jpi,jpj,jpl) , z0ap(jpi,jpj,jpl) , z0vp(jpi,jpj,jpl) , & |
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| 221 | & z0ei (jpi,jpj,nlay_i,jpl) ) |
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| 222 | |
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| 223 | IF( kt == nit000 .AND. lwp ) THEN |
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| 224 | WRITE(numout,*)'' |
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| 225 | WRITE(numout,*)'ice_adv_xy : Prather advection scheme' |
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| 226 | WRITE(numout,*)'~~~~~~~~~~~' |
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| 227 | ENDIF |
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| 228 | |
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| 229 | zarea(:,:) = e1e2t(:,:) |
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| 230 | |
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| 231 | !------------------------- |
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| 232 | ! transported fields |
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| 233 | !------------------------- |
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| 234 | z0opw(:,:,1) = ato_i(:,:) * e1e2t(:,:) ! Open water area |
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| 235 | DO jl = 1, jpl |
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| 236 | z0snw(:,:,jl) = v_s (:,:, jl) * e1e2t(:,:) ! Snow volume |
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| 237 | z0ice(:,:,jl) = v_i (:,:, jl) * e1e2t(:,:) ! Ice volume |
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| 238 | z0ai (:,:,jl) = a_i (:,:, jl) * e1e2t(:,:) ! Ice area |
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| 239 | z0smi(:,:,jl) = smv_i(:,:, jl) * e1e2t(:,:) ! Salt content |
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| 240 | z0oi (:,:,jl) = oa_i (:,:, jl) * e1e2t(:,:) ! Age content |
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| 241 | z0es (:,:,jl) = e_s (:,:,1,jl) * e1e2t(:,:) ! Snow heat content |
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| 242 | DO jk = 1, nlay_i |
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| 243 | z0ei(:,:,jk,jl) = e_i(:,:,jk,jl) * e1e2t(:,:) ! Ice heat content |
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| 244 | END DO |
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| 245 | ! MV MP 2016 |
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| 246 | IF ( nn_pnd_scheme > 0 ) THEN |
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| 247 | z0ap(:,:,jl) = a_ip(:,:,jl) * e1e2t(:,:) ! Melt pond fraction |
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| 248 | z0vp(:,:,jl) = v_ip(:,:,jl) * e1e2t(:,:) ! Melt pond volume |
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| 249 | ENDIF |
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| 250 | ! END MV MP 2016 |
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| 251 | END DO |
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| 252 | |
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| 253 | IF( MOD( ( kt - 1) / nn_fsbc , 2 ) == 0 ) THEN !== odd ice time step: adv_x then adv_y ==! |
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| 254 | DO jt = 1, initad |
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| 255 | CALL ice_adv_x( zusnit, u_ice, 1._wp, zarea, z0opw (:,:,1), sxopw(:,:), & !--- ice open water area |
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| 256 | & sxxopw(:,:) , syopw(:,:), syyopw(:,:), sxyopw(:,:) ) |
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| 257 | CALL ice_adv_y( zusnit, v_ice, 0._wp, zarea, z0opw (:,:,1), sxopw(:,:), & |
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| 258 | & sxxopw(:,:) , syopw(:,:), syyopw(:,:), sxyopw(:,:) ) |
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| 259 | DO jl = 1, jpl |
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| 260 | CALL ice_adv_x( zusnit, u_ice, 1._wp, zarea, z0ice (:,:,jl), sxice(:,:,jl), & !--- ice volume --- |
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| 261 | & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) ) |
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| 262 | CALL ice_adv_y( zusnit, v_ice, 0._wp, zarea, z0ice (:,:,jl), sxice(:,:,jl), & |
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| 263 | & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) ) |
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| 264 | CALL ice_adv_x( zusnit, u_ice, 1._wp, zarea, z0snw (:,:,jl), sxsn (:,:,jl), & !--- snow volume --- |
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| 265 | & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) ) |
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| 266 | CALL ice_adv_y( zusnit, v_ice, 0._wp, zarea, z0snw (:,:,jl), sxsn (:,:,jl), & |
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| 267 | & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) ) |
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| 268 | CALL ice_adv_x( zusnit, u_ice, 1._wp, zarea, z0smi (:,:,jl), sxsal(:,:,jl), & !--- ice salinity --- |
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| 269 | & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) ) |
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| 270 | CALL ice_adv_y( zusnit, v_ice, 0._wp, zarea, z0smi (:,:,jl), sxsal(:,:,jl), & |
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| 271 | & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) ) |
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| 272 | CALL ice_adv_x( zusnit, u_ice, 1._wp, zarea, z0oi (:,:,jl), sxage(:,:,jl), & !--- ice age --- |
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| 273 | & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) ) |
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| 274 | CALL ice_adv_y( zusnit, v_ice, 0._wp, zarea, z0oi (:,:,jl), sxage(:,:,jl), & |
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| 275 | & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) ) |
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| 276 | CALL ice_adv_x( zusnit, u_ice, 1._wp, zarea, z0ai (:,:,jl), sxa (:,:,jl), & !--- ice concentrations --- |
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| 277 | & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) ) |
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| 278 | CALL ice_adv_y( zusnit, v_ice, 0._wp, zarea, z0ai (:,:,jl), sxa (:,:,jl), & |
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| 279 | & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) ) |
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| 280 | CALL ice_adv_x( zusnit, u_ice, 1._wp, zarea, z0es (:,:,jl), sxc0 (:,:,jl), & !--- snow heat contents --- |
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| 281 | & sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) ) |
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| 282 | CALL ice_adv_y( zusnit, v_ice, 0._wp, zarea, z0es (:,:,jl), sxc0 (:,:,jl), & |
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| 283 | & sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) ) |
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| 284 | DO jk = 1, nlay_i !--- ice heat contents --- |
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| 285 | CALL ice_adv_x( zusnit, u_ice, 1._wp, zarea, z0ei(:,:,jk,jl), sxe (:,:,jk,jl), & |
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| 286 | & sxxe(:,:,jk,jl), sye (:,:,jk,jl), & |
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| 287 | & syye(:,:,jk,jl), sxye(:,:,jk,jl) ) |
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| 288 | CALL ice_adv_y( zusnit, v_ice, 0._wp, zarea, z0ei(:,:,jk,jl), sxe (:,:,jk,jl), & |
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| 289 | & sxxe(:,:,jk,jl), sye (:,:,jk,jl), & |
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| 290 | & syye(:,:,jk,jl), sxye(:,:,jk,jl) ) |
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| 291 | END DO |
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| 292 | ! MV MP 2016 |
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| 293 | CALL ice_adv_x( zusnit, u_ice, 1._wp, zarea, z0ap (:,:,jl), sxap (:,:,jl), & !--- melt pond fraction -- |
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| 294 | & sxxap (:,:,jl), syap (:,:,jl), syyap (:,:,jl), sxyap (:,:,jl) ) |
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| 295 | CALL ice_adv_y( zusnit, v_ice, 0._wp, zarea, z0ap (:,:,jl), sxap (:,:,jl), & |
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| 296 | & sxxap (:,:,jl), syap (:,:,jl), syyap (:,:,jl), sxyap (:,:,jl) ) |
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| 297 | CALL ice_adv_x( zusnit, u_ice, 1._wp, zarea, z0vp (:,:,jl), sxvp (:,:,jl), & !--- melt pond volume -- |
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| 298 | & sxxvp (:,:,jl), syvp (:,:,jl), syyvp (:,:,jl), sxyvp (:,:,jl) ) |
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| 299 | CALL ice_adv_y( zusnit, v_ice, 0._wp, zarea, z0vp (:,:,jl), sxvp (:,:,jl), & |
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| 300 | & sxxvp (:,:,jl), syvp (:,:,jl), syyvp (:,:,jl), sxyvp (:,:,jl) ) |
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| 301 | ! END MV MP 2016 |
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| 302 | END DO |
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| 303 | END DO |
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| 304 | ELSE |
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| 305 | DO jt = 1, initad |
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| 306 | CALL ice_adv_y( zusnit, v_ice, 1._wp, zarea, z0opw (:,:,1), sxopw(:,:), & !--- ice open water area |
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| 307 | & sxxopw(:,:) , syopw(:,:), syyopw(:,:), sxyopw(:,:) ) |
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| 308 | CALL ice_adv_x( zusnit, u_ice, 0._wp, zarea, z0opw (:,:,1), sxopw(:,:), & |
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| 309 | & sxxopw(:,:) , syopw(:,:), syyopw(:,:), sxyopw(:,:) ) |
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| 310 | DO jl = 1, jpl |
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| 311 | CALL ice_adv_y( zusnit, v_ice, 1._wp, zarea, z0ice (:,:,jl), sxice(:,:,jl), & !--- ice volume --- |
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| 312 | & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) ) |
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| 313 | CALL ice_adv_x( zusnit, u_ice, 0._wp, zarea, z0ice (:,:,jl), sxice(:,:,jl), & |
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| 314 | & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) ) |
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| 315 | CALL ice_adv_y( zusnit, v_ice, 1._wp, zarea, z0snw (:,:,jl), sxsn (:,:,jl), & !--- snow volume --- |
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| 316 | & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) ) |
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| 317 | CALL ice_adv_x( zusnit, u_ice, 0._wp, zarea, z0snw (:,:,jl), sxsn (:,:,jl), & |
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| 318 | & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) ) |
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| 319 | CALL ice_adv_y( zusnit, v_ice, 1._wp, zarea, z0smi (:,:,jl), sxsal(:,:,jl), & !--- ice salinity --- |
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| 320 | & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) ) |
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| 321 | CALL ice_adv_x( zusnit, u_ice, 0._wp, zarea, z0smi (:,:,jl), sxsal(:,:,jl), & |
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| 322 | & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) ) |
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| 323 | CALL ice_adv_y( zusnit, v_ice, 1._wp, zarea, z0oi (:,:,jl), sxage(:,:,jl), & !--- ice age --- |
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| 324 | & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) ) |
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| 325 | CALL ice_adv_x( zusnit, u_ice, 0._wp, zarea, z0oi (:,:,jl), sxage(:,:,jl), & |
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| 326 | & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) ) |
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| 327 | CALL ice_adv_y( zusnit, v_ice, 1._wp, zarea, z0ai (:,:,jl), sxa (:,:,jl), & !--- ice concentrations --- |
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| 328 | & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) ) |
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| 329 | CALL ice_adv_x( zusnit, u_ice, 0._wp, zarea, z0ai (:,:,jl), sxa (:,:,jl), & |
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| 330 | & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) ) |
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| 331 | CALL ice_adv_y( zusnit, v_ice, 1._wp, zarea, z0es (:,:,jl), sxc0 (:,:,jl), & !--- snow heat contents --- |
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| 332 | & sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) ) |
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| 333 | CALL ice_adv_x( zusnit, u_ice, 0._wp, zarea, z0es (:,:,jl), sxc0 (:,:,jl), & |
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| 334 | & sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) ) |
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| 335 | DO jk = 1, nlay_i !--- ice heat contents --- |
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| 336 | CALL ice_adv_y( zusnit, v_ice, 1._wp, zarea, z0ei(:,:,jk,jl), sxe (:,:,jk,jl), & |
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| 337 | & sxxe(:,:,jk,jl), sye (:,:,jk,jl), & |
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| 338 | & syye(:,:,jk,jl), sxye(:,:,jk,jl) ) |
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| 339 | CALL ice_adv_x( zusnit, u_ice, 0._wp, zarea, z0ei(:,:,jk,jl), sxe (:,:,jk,jl), & |
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| 340 | & sxxe(:,:,jk,jl), sye (:,:,jk,jl), & |
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| 341 | & syye(:,:,jk,jl), sxye(:,:,jk,jl) ) |
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| 342 | END DO |
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| 343 | ! MV MP 2016 |
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| 344 | IF ( nn_pnd_scheme > 0 ) THEN |
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| 345 | CALL ice_adv_y( zusnit, v_ice, 1._wp, zarea, z0ap (:,:,jl), sxap (:,:,jl), & !--- melt pond fraction --- |
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| 346 | & sxxap (:,:,jl), syap (:,:,jl), syyap (:,:,jl), sxyap (:,:,jl) ) |
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| 347 | CALL ice_adv_x( zusnit, u_ice, 0._wp, zarea, z0ap (:,:,jl), sxap (:,:,jl), & |
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| 348 | & sxxap (:,:,jl), syap (:,:,jl), syyap (:,:,jl), sxyap (:,:,jl) ) |
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| 349 | CALL ice_adv_y( zusnit, v_ice, 1._wp, zarea, z0vp (:,:,jl), sxvp (:,:,jl), & !--- melt pond volume --- |
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| 350 | & sxxvp (:,:,jl), syvp (:,:,jl), syyvp (:,:,jl), sxyvp (:,:,jl) ) |
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| 351 | CALL ice_adv_x( zusnit, u_ice, 0._wp, zarea, z0vp (:,:,jl), sxvp (:,:,jl), & |
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| 352 | & sxxvp (:,:,jl), syvp (:,:,jl), syyvp (:,:,jl), sxyvp (:,:,jl) ) |
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| 353 | ENDIF |
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| 354 | ! END MV MP 2016 |
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| 355 | END DO |
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| 356 | END DO |
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| 357 | ENDIF |
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| 358 | |
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| 359 | !------------------------------------------- |
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| 360 | ! Recover the properties from their contents |
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| 361 | !------------------------------------------- |
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| 362 | ato_i(:,:) = z0opw(:,:,1) * r1_e1e2t(:,:) |
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| 363 | DO jl = 1, jpl |
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| 364 | v_i (:,:, jl) = z0ice(:,:,jl) * r1_e1e2t(:,:) |
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| 365 | v_s (:,:, jl) = z0snw(:,:,jl) * r1_e1e2t(:,:) |
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| 366 | smv_i(:,:, jl) = z0smi(:,:,jl) * r1_e1e2t(:,:) |
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| 367 | oa_i (:,:, jl) = z0oi (:,:,jl) * r1_e1e2t(:,:) |
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| 368 | a_i (:,:, jl) = z0ai (:,:,jl) * r1_e1e2t(:,:) |
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| 369 | e_s (:,:,1,jl) = z0es (:,:,jl) * r1_e1e2t(:,:) |
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| 370 | DO jk = 1, nlay_i |
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| 371 | e_i(:,:,jk,jl) = z0ei(:,:,jk,jl) * r1_e1e2t(:,:) |
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| 372 | END DO |
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| 373 | ! MV MP 2016 |
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| 374 | IF ( nn_pnd_scheme > 0 ) THEN |
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| 375 | a_ip (:,:,jl) = z0ap (:,:,jl) * r1_e1e2t(:,:) |
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| 376 | v_ip (:,:,jl) = z0vp (:,:,jl) * r1_e1e2t(:,:) |
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| 377 | ENDIF |
|---|
| 378 | ! END MV MP 2016 |
|---|
| 379 | END DO |
|---|
| 380 | ! |
|---|
| 381 | at_i(:,:) = a_i(:,:,1) ! total ice fraction |
|---|
| 382 | DO jl = 2, jpl |
|---|
| 383 | at_i(:,:) = at_i(:,:) + a_i(:,:,jl) |
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| 384 | END DO |
|---|
| 385 | ! |
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| 386 | DEALLOCATE( zarea , z0opw , z0ice, z0snw , z0ai , z0es , z0smi , z0oi , z0ap , z0vp , z0ei ) |
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| 387 | ! |
|---|
| 388 | END SELECT |
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| 389 | |
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| 390 | ! --- diags --- |
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| 391 | DO jj = 1, jpj |
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| 392 | DO ji = 1, jpi |
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| 393 | diag_trp_ei (ji,jj) = ( SUM( e_i (ji,jj,1:nlay_i,:) ) - zeiold(ji,jj) ) * r1_rdtice |
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| 394 | diag_trp_es (ji,jj) = ( SUM( e_s (ji,jj,1:nlay_s,:) ) - zesold(ji,jj) ) * r1_rdtice |
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| 395 | diag_trp_smv(ji,jj) = ( SUM( smv_i(ji,jj,:) ) - zsmvold(ji,jj) ) * r1_rdtice |
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| 396 | diag_trp_vi (ji,jj) = SUM( v_i(ji,jj,:) - zviold(ji,jj,:) ) * r1_rdtice |
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| 397 | diag_trp_vs (ji,jj) = SUM( v_s(ji,jj,:) - zvsold(ji,jj,:) ) * r1_rdtice |
|---|
| 398 | END DO |
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| 399 | END DO |
|---|
| 400 | IF( iom_use('icetrp') ) CALL iom_put( "icetrp" , diag_trp_vi * rday ) ! ice volume transport |
|---|
| 401 | IF( iom_use('snwtrp') ) CALL iom_put( "snwtrp" , diag_trp_vs * rday ) ! snw volume transport |
|---|
| 402 | IF( iom_use('saltrp') ) CALL iom_put( "saltrp" , diag_trp_smv * rday * rhoic ) ! salt content transport |
|---|
| 403 | IF( iom_use('deitrp') ) CALL iom_put( "deitrp" , diag_trp_ei ) ! advected ice enthalpy (W/m2) |
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| 404 | IF( iom_use('destrp') ) CALL iom_put( "destrp" , diag_trp_es ) ! advected snw enthalpy (W/m2) |
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| 405 | |
|---|
| 406 | IF( nn_limdyn == 2 ) THEN |
|---|
| 407 | ! |
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| 408 | CALL ice_var_zapsmall !--- zap small areas ---! |
|---|
| 409 | ! |
|---|
| 410 | DO jl = 1, jpl !--- Thickness correction in case too high --- ! |
|---|
| 411 | DO jj = 1, jpj |
|---|
| 412 | DO ji = 1, jpi |
|---|
| 413 | IF ( v_i(ji,jj,jl) > 0._wp ) THEN |
|---|
| 414 | ! |
|---|
| 415 | ht_i (ji,jj,jl) = v_i (ji,jj,jl) / a_i(ji,jj,jl) |
|---|
| 416 | ht_s (ji,jj,jl) = v_s (ji,jj,jl) / a_i(ji,jj,jl) |
|---|
| 417 | zdv = v_i(ji,jj,jl) + v_s(ji,jj,jl) - zviold(ji,jj,jl) - zvsold(ji,jj,jl) |
|---|
| 418 | ! |
|---|
| 419 | 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. & |
|---|
| 420 | & ( zdv <= 0.0 .AND. (ht_i(ji,jj,jl)+ht_s(ji,jj,jl)) > zhimax(ji,jj,jl) ) ) THEN |
|---|
| 421 | a_i (ji,jj,jl) = ( v_i(ji,jj,jl) + v_s(ji,jj,jl) ) / zhimax(ji,jj,jl) |
|---|
| 422 | ht_i(ji,jj,jl) = v_i(ji,jj,jl) / a_i(ji,jj,jl) |
|---|
| 423 | ENDIF |
|---|
| 424 | ! |
|---|
| 425 | ENDIF |
|---|
| 426 | END DO |
|---|
| 427 | END DO |
|---|
| 428 | END DO |
|---|
| 429 | |
|---|
| 430 | WHERE( ht_i(:,:,jpl) > hi_max(jpl) ) !--- bound ht_i to hi_max (99 m) |
|---|
| 431 | ht_i(:,:,jpl) = hi_max(jpl) |
|---|
| 432 | a_i (:,:,jpl) = v_i(:,:,jpl) / hi_max(jpl) |
|---|
| 433 | END WHERE |
|---|
| 434 | |
|---|
| 435 | IF ( nn_pnd_scheme > 0 ) THEN !--- correct pond fraction to avoid a_ip > a_i |
|---|
| 436 | WHERE( a_ip(:,:,:) > a_i(:,:,:) ) a_ip(:,:,:) = a_i(:,:,:) |
|---|
| 437 | ENDIF |
|---|
| 438 | ! |
|---|
| 439 | ENDIF |
|---|
| 440 | |
|---|
| 441 | !------------------------------------------------------------ |
|---|
| 442 | ! Impose a_i < amax if no ridging/rafting or in mono-category |
|---|
| 443 | !------------------------------------------------------------ |
|---|
| 444 | ! |
|---|
| 445 | IF( l_piling ) THEN ! simple conservative piling, comparable with 1-cat models |
|---|
| 446 | at_i(:,:) = SUM( a_i(:,:,:), dim=3 ) |
|---|
| 447 | DO jl = 1, jpl |
|---|
| 448 | WHERE( at_i(:,:) > epsi20 ) |
|---|
| 449 | a_i(:,:,jl) = a_i(:,:,jl) * ( 1._wp + MIN( rn_amax_2d(:,:) - at_i(:,:) , 0._wp ) / at_i(:,:) ) |
|---|
| 450 | END WHERE |
|---|
| 451 | END DO |
|---|
| 452 | ENDIF |
|---|
| 453 | |
|---|
| 454 | ! --- agglomerate variables ----------------- |
|---|
| 455 | vt_i(:,:) = SUM( v_i(:,:,:), dim=3 ) |
|---|
| 456 | vt_s(:,:) = SUM( v_s(:,:,:), dim=3 ) |
|---|
| 457 | at_i(:,:) = SUM( a_i(:,:,:), dim=3 ) |
|---|
| 458 | |
|---|
| 459 | ! MV MP 2016 (remove once we get rid of a_i_frac and ht_i) |
|---|
| 460 | IF ( nn_pnd_scheme > 0 ) THEN |
|---|
| 461 | at_ip(:,:) = SUM( a_ip(:,:,:), dim = 3 ) |
|---|
| 462 | vt_ip(:,:) = SUM( v_ip(:,:,:), dim = 3 ) |
|---|
| 463 | ENDIF |
|---|
| 464 | ! END MP 2016 |
|---|
| 465 | |
|---|
| 466 | ! --- open water = 1 if at_i=0 -------------------------------- |
|---|
| 467 | WHERE( at_i == 0._wp ) ato_i = 1._wp |
|---|
| 468 | |
|---|
| 469 | ! conservation test |
|---|
| 470 | IF( ln_limdiachk ) CALL ice_cons_hsm(1, 'iceadv', zvi_b, zsmv_b, zei_b, zfw_b, zfs_b, zft_b) |
|---|
| 471 | |
|---|
| 472 | ! ------------------------------------------------- |
|---|
| 473 | ! control prints |
|---|
| 474 | ! ------------------------------------------------- |
|---|
| 475 | IF( ln_limctl ) CALL ice_prt( kt, iiceprt, jiceprt,-1, ' - ice dyn & trp - ' ) |
|---|
| 476 | ! |
|---|
| 477 | IF( nn_timing == 1 ) CALL timing_stop('iceadv') |
|---|
| 478 | ! |
|---|
| 479 | END SUBROUTINE ice_adv |
|---|
| 480 | |
|---|
| 481 | #else |
|---|
| 482 | !!---------------------------------------------------------------------- |
|---|
| 483 | !! Default option Empty Module No sea-ice model |
|---|
| 484 | !!---------------------------------------------------------------------- |
|---|
| 485 | #endif |
|---|
| 486 | |
|---|
| 487 | !!====================================================================== |
|---|
| 488 | END MODULE iceadv |
|---|
| 489 | |
|---|
