MODULE icedyn_adv_pra !!====================================================================== !! *** MODULE icedyn_adv_pra *** !! sea-ice : advection => Prather scheme !!====================================================================== !! History : ! 2008-03 (M. Vancoppenolle) original code !! 4.0 ! 2018 (many people) SI3 [aka Sea Ice cube] !!-------------------------------------------------------------------- #if defined key_si3 !!---------------------------------------------------------------------- !! 'key_si3' SI3 sea-ice model !!---------------------------------------------------------------------- !! ice_dyn_adv_pra : advection of sea ice using Prather scheme !! adv_x, adv_y : Prather scheme applied in i- and j-direction, resp. !! adv_pra_init : initialisation of the Prather scheme !! adv_pra_rst : read/write Prather field in ice restart file, or initialized to zero !!---------------------------------------------------------------------- USE phycst ! physical constant USE dom_oce ! ocean domain USE ice ! sea-ice variables USE sbc_oce , ONLY : nn_fsbc ! frequency of sea-ice call USE icevar ! sea-ice: operations ! USE in_out_manager ! I/O manager USE iom ! I/O manager library USE lib_mpp ! MPP library USE lib_fortran ! fortran utilities (glob_sum + no signed zero) USE lbclnk ! lateral boundary conditions (or mpp links) IMPLICIT NONE PRIVATE PUBLIC ice_dyn_adv_pra ! called by icedyn_adv PUBLIC adv_pra_init ! called by icedyn_adv ! Moments for advection REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: sxice, syice, sxxice, syyice, sxyice ! ice thickness REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: sxsn , sysn , sxxsn , syysn , sxysn ! snow thickness REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: sxa , sya , sxxa , syya , sxya ! ice concentration REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: sxsal, sysal, sxxsal, syysal, sxysal ! ice salinity REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: sxage, syage, sxxage, syyage, sxyage ! ice age REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:,:) :: sxc0 , syc0 , sxxc0 , syyc0 , sxyc0 ! snow layers heat content REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:,:) :: sxe , sye , sxxe , syye , sxye ! ice layers heat content REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: sxap , syap , sxxap , syyap , sxyap ! melt pond fraction REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: sxvp , syvp , sxxvp , syyvp , sxyvp ! melt pond volume !! * Substitutions # include "vectopt_loop_substitute.h90" !!---------------------------------------------------------------------- !! NEMO/ICE 4.0 , NEMO Consortium (2018) !! $Id$ !! Software governed by the CeCILL license (see ./LICENSE) !!---------------------------------------------------------------------- CONTAINS SUBROUTINE ice_dyn_adv_pra( kt, pu_ice, pv_ice, & & pato_i, pv_i, pv_s, psv_i, poa_i, pa_i, pa_ip, pv_ip, pe_s, pe_i ) !!---------------------------------------------------------------------- !! ** routine ice_dyn_adv_pra ** !! !! ** purpose : Computes and adds the advection trend to sea-ice !! !! ** method : Uses Prather second order scheme that advects tracers !! but also their quadratic forms. The method preserves !! tracer structures by conserving second order moments. !! !! Reference: Prather, 1986, JGR, 91, D6. 6671-6681. !!---------------------------------------------------------------------- INTEGER , INTENT(in ) :: kt ! time step REAL(wp), DIMENSION(:,:) , INTENT(in ) :: pu_ice ! ice i-velocity REAL(wp), DIMENSION(:,:) , INTENT(in ) :: pv_ice ! ice j-velocity REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pato_i ! open water area REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_i ! ice volume REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_s ! snw volume REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: psv_i ! salt content REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: poa_i ! age content REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pa_i ! ice concentration REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pa_ip ! melt pond fraction REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_ip ! melt pond volume REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_s ! snw heat content REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_i ! ice heat content ! INTEGER :: ji,jj, jk, jl, jt ! dummy loop indices INTEGER :: icycle ! number of sub-timestep for the advection REAL(wp) :: zdt ! - - REAL(wp), DIMENSION(1) :: zcflprv, zcflnow ! for global communication REAL(wp), DIMENSION(jpi,jpj) :: zati1, zati2 REAL(wp), DIMENSION(jpi,jpj) :: zudy, zvdx REAL(wp), DIMENSION(jpi,jpj,jpl) :: zarea REAL(wp), DIMENSION(jpi,jpj,jpl) :: z0ice, z0snw, z0ai, z0smi, z0oi REAL(wp), DIMENSION(jpi,jpj,jpl) :: z0ap , z0vp REAL(wp), DIMENSION(jpi,jpj,nlay_s,jpl) :: z0es REAL(wp), DIMENSION(jpi,jpj,nlay_i,jpl) :: z0ei !!---------------------------------------------------------------------- ! IF( kt == nit000 .AND. lwp ) WRITE(numout,*) '-- ice_dyn_adv_pra: Prather advection scheme' ! ! --- If ice drift is too fast, use subtime steps for advection (CFL test for stability) --- ! ! Note: the advection split is applied at the next time-step in order to avoid blocking global comm. ! this should not affect too much the stability zcflnow(1) = MAXVAL( ABS( pu_ice(:,:) ) * rdt_ice * r1_e1u(:,:) ) zcflnow(1) = MAX( zcflnow(1), MAXVAL( ABS( pv_ice(:,:) ) * rdt_ice * r1_e2v(:,:) ) ) ! non-blocking global communication send zcflnow and receive zcflprv CALL mpp_delay_max( 'icedyn_adv_pra', 'cflice', zcflnow(:), zcflprv(:), kt == nitend - nn_fsbc + 1 ) IF( zcflprv(1) > .5 ) THEN ; icycle = 2 ELSE ; icycle = 1 ENDIF zdt = rdt_ice / REAL(icycle) ! --- transport --- ! zudy(:,:) = pu_ice(:,:) * e2u(:,:) zvdx(:,:) = pv_ice(:,:) * e1v(:,:) DO jt = 1, icycle ! record at_i before advection (for open water) zati1(:,:) = SUM( pa_i(:,:,:), dim=3 ) ! --- transported fields --- ! DO jl = 1, jpl zarea(:,:,jl) = e1e2t(:,:) z0snw(:,:,jl) = pv_s (:,:,jl) * e1e2t(:,:) ! Snow volume z0ice(:,:,jl) = pv_i (:,:,jl) * e1e2t(:,:) ! Ice volume z0ai (:,:,jl) = pa_i (:,:,jl) * e1e2t(:,:) ! Ice area z0smi(:,:,jl) = psv_i(:,:,jl) * e1e2t(:,:) ! Salt content z0oi (:,:,jl) = poa_i(:,:,jl) * e1e2t(:,:) ! Age content DO jk = 1, nlay_s z0es(:,:,jk,jl) = pe_s(:,:,jk,jl) * e1e2t(:,:) ! Snow heat content END DO DO jk = 1, nlay_i z0ei(:,:,jk,jl) = pe_i(:,:,jk,jl) * e1e2t(:,:) ! Ice heat content END DO IF ( ln_pnd_H12 ) THEN z0ap(:,:,jl) = pa_ip(:,:,jl) * e1e2t(:,:) ! Melt pond fraction z0vp(:,:,jl) = pv_ip(:,:,jl) * e1e2t(:,:) ! Melt pond volume ENDIF END DO ! ! !--------------------------------------------! IF( MOD( (kt - 1) / nn_fsbc , 2 ) == MOD( (jt - 1) , 2 ) ) THEN !== odd ice time step: adv_x then adv_y ==! ! !--------------------------------------------! CALL adv_x( zdt , zudy , 1._wp , zarea , z0ice , sxice , sxxice , syice , syyice , sxyice ) !--- ice volume CALL adv_y( zdt , zvdx , 0._wp , zarea , z0ice , sxice , sxxice , syice , syyice , sxyice ) CALL adv_x( zdt , zudy , 1._wp , zarea , z0snw , sxsn , sxxsn , sysn , syysn , sxysn ) !--- snow volume CALL adv_y( zdt , zvdx , 0._wp , zarea , z0snw , sxsn , sxxsn , sysn , syysn , sxysn ) CALL adv_x( zdt , zudy , 1._wp , zarea , z0smi , sxsal , sxxsal , sysal , syysal , sxysal ) !--- ice salinity CALL adv_y( zdt , zvdx , 0._wp , zarea , z0smi , sxsal , sxxsal , sysal , syysal , sxysal ) CALL adv_x( zdt , zudy , 1._wp , zarea , z0ai , sxa , sxxa , sya , syya , sxya ) !--- ice concentration CALL adv_y( zdt , zvdx , 0._wp , zarea , z0ai , sxa , sxxa , sya , syya , sxya ) CALL adv_x( zdt , zudy , 1._wp , zarea , z0oi , sxage , sxxage , syage , syyage , sxyage ) !--- ice age CALL adv_y( zdt , zvdx , 0._wp , zarea , z0oi , sxage , sxxage , syage , syyage , sxyage ) ! DO jk = 1, nlay_s !--- snow heat content CALL adv_x( zdt, zudy, 1._wp, zarea, z0es (:,:,jk,:), sxc0(:,:,jk,:), & & sxxc0(:,:,jk,:), syc0(:,:,jk,:), syyc0(:,:,jk,:), sxyc0(:,:,jk,:) ) CALL adv_y( zdt, zvdx, 0._wp, zarea, z0es (:,:,jk,:), sxc0(:,:,jk,:), & & sxxc0(:,:,jk,:), syc0(:,:,jk,:), syyc0(:,:,jk,:), sxyc0(:,:,jk,:) ) END DO DO jk = 1, nlay_i !--- ice heat content CALL adv_x( zdt, zudy, 1._wp, zarea, z0ei(:,:,jk,:), sxe(:,:,jk,:), & & sxxe(:,:,jk,:), sye(:,:,jk,:), syye(:,:,jk,:), sxye(:,:,jk,:) ) CALL adv_y( zdt, zvdx, 0._wp, zarea, z0ei(:,:,jk,:), sxe(:,:,jk,:), & & sxxe(:,:,jk,:), sye(:,:,jk,:), syye(:,:,jk,:), sxye(:,:,jk,:) ) END DO ! IF ( ln_pnd_H12 ) THEN CALL adv_x( zdt , zudy , 1._wp , zarea , z0ap , sxap , sxxap , syap , syyap , sxyap ) !--- melt pond fraction CALL adv_y( zdt , zvdx , 0._wp , zarea , z0ap , sxap , sxxap , syap , syyap , sxyap ) CALL adv_x( zdt , zudy , 1._wp , zarea , z0vp , sxvp , sxxvp , syvp , syyvp , sxyvp ) !--- melt pond volume CALL adv_y( zdt , zvdx , 0._wp , zarea , z0vp , sxvp , sxxvp , syvp , syyvp , sxyvp ) ENDIF ! !--------------------------------------------! ELSE !== even ice time step: adv_y then adv_x ==! ! !--------------------------------------------! CALL adv_y( zdt , zvdx , 1._wp , zarea , z0ice , sxice , sxxice , syice , syyice , sxyice ) !--- ice volume CALL adv_x( zdt , zudy , 0._wp , zarea , z0ice , sxice , sxxice , syice , syyice , sxyice ) CALL adv_y( zdt , zvdx , 1._wp , zarea , z0snw , sxsn , sxxsn , sysn , syysn , sxysn ) !--- snow volume CALL adv_x( zdt , zudy , 0._wp , zarea , z0snw , sxsn , sxxsn , sysn , syysn , sxysn ) CALL adv_y( zdt , zvdx , 1._wp , zarea , z0smi , sxsal , sxxsal , sysal , syysal , sxysal ) !--- ice salinity CALL adv_x( zdt , zudy , 0._wp , zarea , z0smi , sxsal , sxxsal , sysal , syysal , sxysal ) CALL adv_y( zdt , zvdx , 1._wp , zarea , z0ai , sxa , sxxa , sya , syya , sxya ) !--- ice concentration CALL adv_x( zdt , zudy , 0._wp , zarea , z0ai , sxa , sxxa , sya , syya , sxya ) CALL adv_y( zdt , zvdx , 1._wp , zarea , z0oi , sxage , sxxage , syage , syyage , sxyage ) !--- ice age CALL adv_x( zdt , zudy , 0._wp , zarea , z0oi , sxage , sxxage , syage , syyage , sxyage ) DO jk = 1, nlay_s !--- snow heat content CALL adv_y( zdt, zvdx, 1._wp, zarea, z0es (:,:,jk,:), sxc0(:,:,jk,:), & & sxxc0(:,:,jk,:), syc0(:,:,jk,:), syyc0(:,:,jk,:), sxyc0(:,:,jk,:) ) CALL adv_x( zdt, zudy, 0._wp, zarea, z0es (:,:,jk,:), sxc0(:,:,jk,:), & & sxxc0(:,:,jk,:), syc0(:,:,jk,:), syyc0(:,:,jk,:), sxyc0(:,:,jk,:) ) END DO DO jk = 1, nlay_i !--- ice heat content CALL adv_y( zdt, zvdx, 1._wp, zarea, z0ei(:,:,jk,:), sxe(:,:,jk,:), & & sxxe(:,:,jk,:), sye(:,:,jk,:), syye(:,:,jk,:), sxye(:,:,jk,:) ) CALL adv_x( zdt, zudy, 0._wp, zarea, z0ei(:,:,jk,:), sxe(:,:,jk,:), & & sxxe(:,:,jk,:), sye(:,:,jk,:), syye(:,:,jk,:), sxye(:,:,jk,:) ) END DO IF ( ln_pnd_H12 ) THEN CALL adv_y( zdt , zvdx , 1._wp , zarea , z0ap , sxap , sxxap , syap , syyap , sxyap ) !--- melt pond fraction CALL adv_x( zdt , zudy , 0._wp , zarea , z0ap , sxap , sxxap , syap , syyap , sxyap ) CALL adv_y( zdt , zvdx , 1._wp , zarea , z0vp , sxvp , sxxvp , syvp , syyvp , sxyvp ) !--- melt pond volume CALL adv_x( zdt , zudy , 0._wp , zarea , z0vp , sxvp , sxxvp , syvp , syyvp , sxyvp ) ENDIF ! ENDIF ! --- Recover the properties from their contents --- ! DO jl = 1, jpl pv_i (:,:,jl) = z0ice(:,:,jl) * r1_e1e2t(:,:) * tmask(:,:,1) pv_s (:,:,jl) = z0snw(:,:,jl) * r1_e1e2t(:,:) * tmask(:,:,1) psv_i(:,:,jl) = z0smi(:,:,jl) * r1_e1e2t(:,:) * tmask(:,:,1) poa_i(:,:,jl) = z0oi (:,:,jl) * r1_e1e2t(:,:) * tmask(:,:,1) pa_i (:,:,jl) = z0ai (:,:,jl) * r1_e1e2t(:,:) * tmask(:,:,1) DO jk = 1, nlay_s pe_s(:,:,jk,jl) = z0es(:,:,jk,jl) * r1_e1e2t(:,:) * tmask(:,:,1) END DO DO jk = 1, nlay_i pe_i(:,:,jk,jl) = z0ei(:,:,jk,jl) * r1_e1e2t(:,:) * tmask(:,:,1) END DO IF ( ln_pnd_H12 ) THEN pa_ip(:,:,jl) = z0ap(:,:,jl) * r1_e1e2t(:,:) * tmask(:,:,1) pv_ip(:,:,jl) = z0vp(:,:,jl) * r1_e1e2t(:,:) * tmask(:,:,1) ENDIF END DO ! ! derive open water from ice concentration zati2(:,:) = SUM( pa_i(:,:,:), dim=3 ) DO jj = 2, jpjm1 DO ji = fs_2, fs_jpim1 pato_i(ji,jj) = pato_i(ji,jj) - ( zati2(ji,jj) - zati1(ji,jj) ) & !--- open water & - ( zudy(ji,jj) - zudy(ji-1,jj) + zvdx(ji,jj) - zvdx(ji,jj-1) ) * r1_e1e2t(ji,jj) * zdt END DO END DO CALL lbc_lnk( 'icedyn_adv_pra', pato_i, 'T', 1. ) ! ! --- Ensure non-negative fields --- ! ! Remove negative values (conservation is ensured) ! (because advected fields are not perfectly bounded and tiny negative values can occur, e.g. -1.e-20) CALL ice_var_zapneg( zdt, pato_i, pv_i, pv_s, psv_i, poa_i, pa_i, pa_ip, pv_ip, pe_s, pe_i ) ! ! --- Ensure snow load is not too big --- ! CALL Hsnow( zdt, pv_i, pv_s, pa_i, pa_ip, pe_s ) ! END DO ! IF( lrst_ice ) CALL adv_pra_rst( 'WRITE', kt ) !* write Prather fields in the restart file ! END SUBROUTINE ice_dyn_adv_pra SUBROUTINE adv_x( pdt, put , pcrh, psm , ps0 , & & psx, psxx, psy , psyy, psxy ) !!---------------------------------------------------------------------- !! ** routine adv_x ** !! !! ** purpose : Computes and adds the advection trend to sea-ice !! variable on x axis !!---------------------------------------------------------------------- REAL(wp) , INTENT(in ) :: pdt ! the time step REAL(wp) , INTENT(in ) :: pcrh ! call adv_x then adv_y (=1) or the opposite (=0) REAL(wp), DIMENSION(:,:) , INTENT(in ) :: put ! i-direction ice velocity at U-point [m/s] REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: psm ! area REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: ps0 ! field to be advected REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: psx , psy ! 1st moments REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: psxx, psyy, psxy ! 2nd moments !! INTEGER :: ji, jj, jl, jcat ! dummy loop indices REAL(wp) :: zs1max, zslpmax, ztemp ! local scalars REAL(wp) :: zs1new, zalf , zalfq , zbt ! - - REAL(wp) :: zs2new, zalf1, zalf1q, zbt1 ! - - REAL(wp), DIMENSION(jpi,jpj) :: zf0 , zfx , zfy , zbet ! 2D workspace REAL(wp), DIMENSION(jpi,jpj) :: zfm , zfxx , zfyy , zfxy ! - - REAL(wp), DIMENSION(jpi,jpj) :: zalg, zalg1, zalg1q ! - - !----------------------------------------------------------------------- ! jcat = SIZE( ps0 , 3 ) ! size of input arrays ! DO jl = 1, jcat ! loop on categories ! ! Limitation of moments. DO jj = 2, jpjm1 DO ji = 1, jpi ! Initialize volumes of boxes (=area if adv_x first called, =psm otherwise) psm (ji,jj,jl) = MAX( pcrh * e1e2t(ji,jj) + ( 1.0 - pcrh ) * psm(ji,jj,jl) , epsi20 ) ! zslpmax = MAX( 0._wp, ps0(ji,jj,jl) ) zs1max = 1.5 * zslpmax zs1new = MIN( zs1max, MAX( -zs1max, psx(ji,jj,jl) ) ) zs2new = MIN( 2.0 * zslpmax - 0.3334 * ABS( zs1new ), & & MAX( ABS( zs1new ) - zslpmax, psxx(ji,jj,jl) ) ) rswitch = ( 1.0 - MAX( 0._wp, SIGN( 1._wp, -zslpmax) ) ) * tmask(ji,jj,1) ! Case of empty boxes & Apply mask ps0 (ji,jj,jl) = zslpmax psx (ji,jj,jl) = zs1new * rswitch psxx(ji,jj,jl) = zs2new * rswitch psy (ji,jj,jl) = psy (ji,jj,jl) * rswitch psyy(ji,jj,jl) = psyy(ji,jj,jl) * rswitch psxy(ji,jj,jl) = MIN( zslpmax, MAX( -zslpmax, psxy(ji,jj,jl) ) ) * rswitch END DO END DO ! Calculate fluxes and moments between boxes i<-->i+1 DO jj = 2, jpjm1 ! Flux from i to i+1 WHEN u GT 0 DO ji = 1, jpi zbet(ji,jj) = MAX( 0._wp, SIGN( 1._wp, put(ji,jj) ) ) zalf = MAX( 0._wp, put(ji,jj) ) * pdt / psm(ji,jj,jl) zalfq = zalf * zalf zalf1 = 1.0 - zalf zalf1q = zalf1 * zalf1 ! zfm (ji,jj) = zalf * psm (ji,jj,jl) zf0 (ji,jj) = zalf * ( ps0 (ji,jj,jl) + zalf1 * ( psx(ji,jj,jl) + (zalf1 - zalf) * psxx(ji,jj,jl) ) ) zfx (ji,jj) = zalfq * ( psx (ji,jj,jl) + 3.0 * zalf1 * psxx(ji,jj,jl) ) zfxx(ji,jj) = zalf * psxx(ji,jj,jl) * zalfq zfy (ji,jj) = zalf * ( psy (ji,jj,jl) + zalf1 * psxy(ji,jj,jl) ) zfxy(ji,jj) = zalfq * psxy(ji,jj,jl) zfyy(ji,jj) = zalf * psyy(ji,jj,jl) ! Readjust moments remaining in the box. psm (ji,jj,jl) = psm (ji,jj,jl) - zfm(ji,jj) ps0 (ji,jj,jl) = ps0 (ji,jj,jl) - zf0(ji,jj) psx (ji,jj,jl) = zalf1q * ( psx(ji,jj,jl) - 3.0 * zalf * psxx(ji,jj,jl) ) psxx(ji,jj,jl) = zalf1 * zalf1q * psxx(ji,jj,jl) psy (ji,jj,jl) = psy (ji,jj,jl) - zfy(ji,jj) psyy(ji,jj,jl) = psyy(ji,jj,jl) - zfyy(ji,jj) psxy(ji,jj,jl) = zalf1q * psxy(ji,jj,jl) END DO END DO DO jj = 2, jpjm1 ! Flux from i+1 to i when u LT 0. DO ji = 1, fs_jpim1 zalf = MAX( 0._wp, -put(ji,jj) ) * pdt / psm(ji+1,jj,jl) zalg (ji,jj) = zalf zalfq = zalf * zalf zalf1 = 1.0 - zalf zalg1 (ji,jj) = zalf1 zalf1q = zalf1 * zalf1 zalg1q(ji,jj) = zalf1q ! zfm (ji,jj) = zfm (ji,jj) + zalf * psm (ji+1,jj,jl) zf0 (ji,jj) = zf0 (ji,jj) + zalf * ( ps0 (ji+1,jj,jl) & & - zalf1 * ( psx(ji+1,jj,jl) - (zalf1 - zalf ) * psxx(ji+1,jj,jl) ) ) zfx (ji,jj) = zfx (ji,jj) + zalfq * ( psx (ji+1,jj,jl) - 3.0 * zalf1 * psxx(ji+1,jj,jl) ) zfxx (ji,jj) = zfxx(ji,jj) + zalf * psxx(ji+1,jj,jl) * zalfq zfy (ji,jj) = zfy (ji,jj) + zalf * ( psy (ji+1,jj,jl) - zalf1 * psxy(ji+1,jj,jl) ) zfxy (ji,jj) = zfxy(ji,jj) + zalfq * psxy(ji+1,jj,jl) zfyy (ji,jj) = zfyy(ji,jj) + zalf * psyy(ji+1,jj,jl) END DO END DO DO jj = 2, jpjm1 ! Readjust moments remaining in the box. DO ji = fs_2, fs_jpim1 zbt = zbet(ji-1,jj) zbt1 = 1.0 - zbet(ji-1,jj) ! psm (ji,jj,jl) = zbt * psm(ji,jj,jl) + zbt1 * ( psm(ji,jj,jl) - zfm(ji-1,jj) ) ps0 (ji,jj,jl) = zbt * ps0(ji,jj,jl) + zbt1 * ( ps0(ji,jj,jl) - zf0(ji-1,jj) ) psx (ji,jj,jl) = zalg1q(ji-1,jj) * ( psx(ji,jj,jl) + 3.0 * zalg(ji-1,jj) * psxx(ji,jj,jl) ) psxx(ji,jj,jl) = zalg1 (ji-1,jj) * zalg1q(ji-1,jj) * psxx(ji,jj,jl) psy (ji,jj,jl) = zbt * psy (ji,jj,jl) + zbt1 * ( psy (ji,jj,jl) - zfy (ji-1,jj) ) psyy(ji,jj,jl) = zbt * psyy(ji,jj,jl) + zbt1 * ( psyy(ji,jj,jl) - zfyy(ji-1,jj) ) psxy(ji,jj,jl) = zalg1q(ji-1,jj) * psxy(ji,jj,jl) END DO END DO ! Put the temporary moments into appropriate neighboring boxes. DO jj = 2, jpjm1 ! Flux from i to i+1 IF u GT 0. DO ji = fs_2, fs_jpim1 zbt = zbet(ji-1,jj) zbt1 = 1.0 - zbet(ji-1,jj) psm(ji,jj,jl) = zbt * ( psm(ji,jj,jl) + zfm(ji-1,jj) ) + zbt1 * psm(ji,jj,jl) zalf = zbt * zfm(ji-1,jj) / psm(ji,jj,jl) zalf1 = 1.0 - zalf ztemp = zalf * ps0(ji,jj,jl) - zalf1 * zf0(ji-1,jj) ! ps0 (ji,jj,jl) = zbt * ( ps0(ji,jj,jl) + zf0(ji-1,jj) ) + zbt1 * ps0(ji,jj,jl) psx (ji,jj,jl) = zbt * ( zalf * zfx(ji-1,jj) + zalf1 * psx(ji,jj,jl) + 3.0 * ztemp ) + zbt1 * psx(ji,jj,jl) psxx(ji,jj,jl) = zbt * ( zalf * zalf * zfxx(ji-1,jj) + zalf1 * zalf1 * psxx(ji,jj,jl) & & + 5.0 * ( zalf * zalf1 * ( psx (ji,jj,jl) - zfx(ji-1,jj) ) - ( zalf1 - zalf ) * ztemp ) ) & & + zbt1 * psxx(ji,jj,jl) psxy(ji,jj,jl) = zbt * ( zalf * zfxy(ji-1,jj) + zalf1 * psxy(ji,jj,jl) & & + 3.0 * (- zalf1*zfy(ji-1,jj) + zalf * psy(ji,jj,jl) ) ) & & + zbt1 * psxy(ji,jj,jl) psy (ji,jj,jl) = zbt * ( psy (ji,jj,jl) + zfy (ji-1,jj) ) + zbt1 * psy (ji,jj,jl) psyy(ji,jj,jl) = zbt * ( psyy(ji,jj,jl) + zfyy(ji-1,jj) ) + zbt1 * psyy(ji,jj,jl) END DO END DO DO jj = 2, jpjm1 ! Flux from i+1 to i IF u LT 0. DO ji = fs_2, fs_jpim1 zbt = zbet(ji,jj) zbt1 = 1.0 - zbet(ji,jj) psm(ji,jj,jl) = zbt * psm(ji,jj,jl) + zbt1 * ( psm(ji,jj,jl) + zfm(ji,jj) ) zalf = zbt1 * zfm(ji,jj) / psm(ji,jj,jl) zalf1 = 1.0 - zalf ztemp = - zalf * ps0(ji,jj,jl) + zalf1 * zf0(ji,jj) ! ps0 (ji,jj,jl) = zbt * ps0 (ji,jj,jl) + zbt1 * ( ps0(ji,jj,jl) + zf0(ji,jj) ) psx (ji,jj,jl) = zbt * psx (ji,jj,jl) + zbt1 * ( zalf * zfx(ji,jj) + zalf1 * psx(ji,jj,jl) + 3.0 * ztemp ) psxx(ji,jj,jl) = zbt * psxx(ji,jj,jl) + zbt1 * ( zalf * zalf * zfxx(ji,jj) + zalf1 * zalf1 * psxx(ji,jj,jl) & & + 5.0 * ( zalf * zalf1 * ( - psx(ji,jj,jl) + zfx(ji,jj) ) & & + ( zalf1 - zalf ) * ztemp ) ) psxy(ji,jj,jl) = zbt * psxy(ji,jj,jl) + zbt1 * ( zalf * zfxy(ji,jj) + zalf1 * psxy(ji,jj,jl) & & + 3.0 * ( zalf1 * zfy(ji,jj) - zalf * psy(ji,jj,jl) ) ) psy (ji,jj,jl) = zbt * psy (ji,jj,jl) + zbt1 * ( psy (ji,jj,jl) + zfy (ji,jj) ) psyy(ji,jj,jl) = zbt * psyy(ji,jj,jl) + zbt1 * ( psyy(ji,jj,jl) + zfyy(ji,jj) ) END DO END DO END DO !-- Lateral boundary conditions CALL lbc_lnk_multi( 'icedyn_adv_pra', psm(:,:,1:jcat) , 'T', 1., ps0 , 'T', 1. & & , psx , 'T', -1., psy , 'T', -1. & ! caution gradient ==> the sign changes & , psxx , 'T', 1., psyy, 'T', 1. , psxy, 'T', 1. ) ! END SUBROUTINE adv_x SUBROUTINE adv_y( pdt, pvt , pcrh, psm , ps0 , & & psx, psxx, psy , psyy, psxy ) !!--------------------------------------------------------------------- !! ** routine adv_y ** !! !! ** purpose : Computes and adds the advection trend to sea-ice !! variable on y axis !!--------------------------------------------------------------------- REAL(wp) , INTENT(in ) :: pdt ! time step REAL(wp) , INTENT(in ) :: pcrh ! call adv_x then adv_y (=1) or the opposite (=0) REAL(wp), DIMENSION(:,:) , INTENT(in ) :: pvt ! j-direction ice velocity at V-point [m/s] REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: psm ! area REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: ps0 ! field to be advected REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: psx , psy ! 1st moments REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: psxx, psyy, psxy ! 2nd moments !! INTEGER :: ji, jj, jl, jcat ! dummy loop indices REAL(wp) :: zs1max, zslpmax, ztemp ! temporary scalars REAL(wp) :: zs1new, zalf , zalfq , zbt ! - - REAL(wp) :: zs2new, zalf1, zalf1q, zbt1 ! - - REAL(wp), DIMENSION(jpi,jpj) :: zf0, zfx , zfy , zbet ! 2D workspace REAL(wp), DIMENSION(jpi,jpj) :: zfm, zfxx, zfyy, zfxy ! - - REAL(wp), DIMENSION(jpi,jpj) :: zalg, zalg1, zalg1q ! - - !--------------------------------------------------------------------- ! jcat = SIZE( ps0 , 3 ) ! size of input arrays ! DO jl = 1, jcat ! loop on categories ! ! Limitation of moments. DO jj = 1, jpj DO ji = fs_2, fs_jpim1 ! Initialize volumes of boxes (=area if adv_x first called, =psm otherwise) psm(ji,jj,jl) = MAX( pcrh * e1e2t(ji,jj) + ( 1.0 - pcrh ) * psm(ji,jj,jl) , epsi20 ) ! zslpmax = MAX( 0._wp, ps0(ji,jj,jl) ) zs1max = 1.5 * zslpmax zs1new = MIN( zs1max, MAX( -zs1max, psy(ji,jj,jl) ) ) zs2new = MIN( ( 2.0 * zslpmax - 0.3334 * ABS( zs1new ) ), & & MAX( ABS( zs1new )-zslpmax, psyy(ji,jj,jl) ) ) rswitch = ( 1.0 - MAX( 0._wp, SIGN( 1._wp, -zslpmax) ) ) * tmask(ji,jj,1) ! Case of empty boxes & Apply mask ! ps0 (ji,jj,jl) = zslpmax psx (ji,jj,jl) = psx (ji,jj,jl) * rswitch psxx(ji,jj,jl) = psxx(ji,jj,jl) * rswitch psy (ji,jj,jl) = zs1new * rswitch psyy(ji,jj,jl) = zs2new * rswitch psxy(ji,jj,jl) = MIN( zslpmax, MAX( -zslpmax, psxy(ji,jj,jl) ) ) * rswitch END DO END DO ! Calculate fluxes and moments between boxes j<-->j+1 DO jj = 1, jpj ! Flux from j to j+1 WHEN v GT 0 DO ji = fs_2, fs_jpim1 zbet(ji,jj) = MAX( 0._wp, SIGN( 1._wp, pvt(ji,jj) ) ) zalf = MAX( 0._wp, pvt(ji,jj) ) * pdt / psm(ji,jj,jl) zalfq = zalf * zalf zalf1 = 1.0 - zalf zalf1q = zalf1 * zalf1 ! zfm (ji,jj) = zalf * psm(ji,jj,jl) zf0 (ji,jj) = zalf * ( ps0(ji,jj,jl) + zalf1 * ( psy(ji,jj,jl) + (zalf1-zalf) * psyy(ji,jj,jl) ) ) zfy (ji,jj) = zalfq *( psy(ji,jj,jl) + 3.0*zalf1*psyy(ji,jj,jl) ) zfyy(ji,jj) = zalf * zalfq * psyy(ji,jj,jl) zfx (ji,jj) = zalf * ( psx(ji,jj,jl) + zalf1 * psxy(ji,jj,jl) ) zfxy(ji,jj) = zalfq * psxy(ji,jj,jl) zfxx(ji,jj) = zalf * psxx(ji,jj,jl) ! ! Readjust moments remaining in the box. psm (ji,jj,jl) = psm (ji,jj,jl) - zfm(ji,jj) ps0 (ji,jj,jl) = ps0 (ji,jj,jl) - zf0(ji,jj) psy (ji,jj,jl) = zalf1q * ( psy(ji,jj,jl) -3.0 * zalf * psyy(ji,jj,jl) ) psyy(ji,jj,jl) = zalf1 * zalf1q * psyy(ji,jj,jl) psx (ji,jj,jl) = psx (ji,jj,jl) - zfx(ji,jj) psxx(ji,jj,jl) = psxx(ji,jj,jl) - zfxx(ji,jj) psxy(ji,jj,jl) = zalf1q * psxy(ji,jj,jl) END DO END DO ! DO jj = 1, jpjm1 ! Flux from j+1 to j when v LT 0. DO ji = fs_2, fs_jpim1 zalf = MAX( 0._wp, -pvt(ji,jj) ) * pdt / psm(ji,jj+1,jl) zalg (ji,jj) = zalf zalfq = zalf * zalf zalf1 = 1.0 - zalf zalg1 (ji,jj) = zalf1 zalf1q = zalf1 * zalf1 zalg1q(ji,jj) = zalf1q ! zfm (ji,jj) = zfm (ji,jj) + zalf * psm (ji,jj+1,jl) zf0 (ji,jj) = zf0 (ji,jj) + zalf * ( ps0 (ji,jj+1,jl) & & - zalf1 * (psy(ji,jj+1,jl) - (zalf1 - zalf ) * psyy(ji,jj+1,jl) ) ) zfy (ji,jj) = zfy (ji,jj) + zalfq * ( psy (ji,jj+1,jl) - 3.0 * zalf1 * psyy(ji,jj+1,jl) ) zfyy (ji,jj) = zfyy(ji,jj) + zalf * psyy(ji,jj+1,jl) * zalfq zfx (ji,jj) = zfx (ji,jj) + zalf * ( psx (ji,jj+1,jl) - zalf1 * psxy(ji,jj+1,jl) ) zfxy (ji,jj) = zfxy(ji,jj) + zalfq * psxy(ji,jj+1,jl) zfxx (ji,jj) = zfxx(ji,jj) + zalf * psxx(ji,jj+1,jl) END DO END DO ! Readjust moments remaining in the box. DO jj = 2, jpjm1 DO ji = fs_2, fs_jpim1 zbt = zbet(ji,jj-1) zbt1 = ( 1.0 - zbet(ji,jj-1) ) ! psm (ji,jj,jl) = zbt * psm(ji,jj,jl) + zbt1 * ( psm(ji,jj,jl) - zfm(ji,jj-1) ) ps0 (ji,jj,jl) = zbt * ps0(ji,jj,jl) + zbt1 * ( ps0(ji,jj,jl) - zf0(ji,jj-1) ) psy (ji,jj,jl) = zalg1q(ji,jj-1) * ( psy(ji,jj,jl) + 3.0 * zalg(ji,jj-1) * psyy(ji,jj,jl) ) psyy(ji,jj,jl) = zalg1 (ji,jj-1) * zalg1q(ji,jj-1) * psyy(ji,jj,jl) psx (ji,jj,jl) = zbt * psx (ji,jj,jl) + zbt1 * ( psx (ji,jj,jl) - zfx (ji,jj-1) ) psxx(ji,jj,jl) = zbt * psxx(ji,jj,jl) + zbt1 * ( psxx(ji,jj,jl) - zfxx(ji,jj-1) ) psxy(ji,jj,jl) = zalg1q(ji,jj-1) * psxy(ji,jj,jl) END DO END DO ! Put the temporary moments into appropriate neighboring boxes. DO jj = 2, jpjm1 ! Flux from j to j+1 IF v GT 0. DO ji = fs_2, fs_jpim1 zbt = zbet(ji,jj-1) zbt1 = 1.0 - zbet(ji,jj-1) psm(ji,jj,jl) = zbt * ( psm(ji,jj,jl) + zfm(ji,jj-1) ) + zbt1 * psm(ji,jj,jl) zalf = zbt * zfm(ji,jj-1) / psm(ji,jj,jl) zalf1 = 1.0 - zalf ztemp = zalf * ps0(ji,jj,jl) - zalf1 * zf0(ji,jj-1) ! ps0(ji,jj,jl) = zbt * ( ps0(ji,jj,jl) + zf0(ji,jj-1) ) + zbt1 * ps0(ji,jj,jl) psy(ji,jj,jl) = zbt * ( zalf * zfy(ji,jj-1) + zalf1 * psy(ji,jj,jl) + 3.0 * ztemp ) & & + zbt1 * psy(ji,jj,jl) psyy(ji,jj,jl) = zbt * ( zalf * zalf * zfyy(ji,jj-1) + zalf1 * zalf1 * psyy(ji,jj,jl) & & + 5.0 * ( zalf * zalf1 * ( psy(ji,jj,jl) - zfy(ji,jj-1) ) - ( zalf1 - zalf ) * ztemp ) ) & & + zbt1 * psyy(ji,jj,jl) psxy(ji,jj,jl) = zbt * ( zalf * zfxy(ji,jj-1) + zalf1 * psxy(ji,jj,jl) & & + 3.0 * (- zalf1 * zfx(ji,jj-1) + zalf * psx(ji,jj,jl) ) ) & & + zbt1 * psxy(ji,jj,jl) psx (ji,jj,jl) = zbt * ( psx (ji,jj,jl) + zfx (ji,jj-1) ) + zbt1 * psx (ji,jj,jl) psxx(ji,jj,jl) = zbt * ( psxx(ji,jj,jl) + zfxx(ji,jj-1) ) + zbt1 * psxx(ji,jj,jl) END DO END DO DO jj = 2, jpjm1 ! Flux from j+1 to j IF v LT 0. DO ji = fs_2, fs_jpim1 zbt = zbet(ji,jj) zbt1 = 1.0 - zbet(ji,jj) psm(ji,jj,jl) = zbt * psm(ji,jj,jl) + zbt1 * ( psm(ji,jj,jl) + zfm(ji,jj) ) zalf = zbt1 * zfm(ji,jj) / psm(ji,jj,jl) zalf1 = 1.0 - zalf ztemp = - zalf * ps0(ji,jj,jl) + zalf1 * zf0(ji,jj) ! ps0 (ji,jj,jl) = zbt * ps0 (ji,jj,jl) + zbt1 * ( ps0(ji,jj,jl) + zf0(ji,jj) ) psy (ji,jj,jl) = zbt * psy (ji,jj,jl) + zbt1 * ( zalf * zfy(ji,jj) + zalf1 * psy(ji,jj,jl) + 3.0 * ztemp ) psyy(ji,jj,jl) = zbt * psyy(ji,jj,jl) + zbt1 * ( zalf * zalf * zfyy(ji,jj) + zalf1 * zalf1 * psyy(ji,jj,jl) & & + 5.0 * ( zalf * zalf1 * ( - psy(ji,jj,jl) + zfy(ji,jj) ) & & + ( zalf1 - zalf ) * ztemp ) ) psxy(ji,jj,jl) = zbt * psxy(ji,jj,jl) + zbt1 * ( zalf * zfxy(ji,jj) + zalf1 * psxy(ji,jj,jl) & & + 3.0 * ( zalf1 * zfx(ji,jj) - zalf * psx(ji,jj,jl) ) ) psx (ji,jj,jl) = zbt * psx (ji,jj,jl) + zbt1 * ( psx (ji,jj,jl) + zfx (ji,jj) ) psxx(ji,jj,jl) = zbt * psxx(ji,jj,jl) + zbt1 * ( psxx(ji,jj,jl) + zfxx(ji,jj) ) END DO END DO END DO !-- Lateral boundary conditions CALL lbc_lnk_multi( 'icedyn_adv_pra', psm(:,:,1:jcat) , 'T', 1., ps0 , 'T', 1. & & , psx , 'T', -1., psy , 'T', -1. & ! caution gradient ==> the sign changes & , psxx , 'T', 1., psyy, 'T', 1. , psxy, 'T', 1. ) ! END SUBROUTINE adv_y SUBROUTINE Hsnow( pdt, pv_i, pv_s, pa_i, pa_ip, pe_s ) !!------------------------------------------------------------------- !! *** ROUTINE Hsnow *** !! !! ** Purpose : 1- Check snow load after advection !! 2- Correct pond concentration to avoid a_ip > a_i !! !! ** Method : If snow load makes snow-ice interface to deplet below the ocean surface !! then put the snow excess in the ocean !! !! ** Notes : This correction is crucial because of the call to routine icecor afterwards !! which imposes a mini of ice thick. (rn_himin). This imposed mini can artificially !! make the snow very thick (if concentration decreases drastically) !! This behavior has been seen in Ultimate-Macho and supposedly it can also be true for Prather !!------------------------------------------------------------------- REAL(wp) , INTENT(in ) :: pdt ! tracer time-step REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_i, pv_s, pa_i, pa_ip REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_s ! INTEGER :: ji, jj, jl ! dummy loop indices REAL(wp) :: z1_dt, zvs_excess, zfra !!------------------------------------------------------------------- ! z1_dt = 1._wp / pdt ! ! -- check snow load -- ! DO jl = 1, jpl DO jj = 1, jpj DO ji = 1, jpi IF ( pv_i(ji,jj,jl) > 0._wp ) THEN ! zvs_excess = MAX( 0._wp, pv_s(ji,jj,jl) - pv_i(ji,jj,jl) * (rau0-rhoi) * r1_rhos ) ! IF( zvs_excess > 0._wp ) THEN ! snow-ice interface deplets below the ocean surface ! put snow excess in the ocean zfra = ( pv_s(ji,jj,jl) - zvs_excess ) / MAX( pv_s(ji,jj,jl), epsi20 ) wfx_res(ji,jj) = wfx_res(ji,jj) + zvs_excess * rhos * z1_dt hfx_res(ji,jj) = hfx_res(ji,jj) - SUM( pe_s(ji,jj,1:nlay_s,jl) ) * ( 1._wp - zfra ) * z1_dt ! W.m-2 <0 ! correct snow volume and heat content pe_s(ji,jj,1:nlay_s,jl) = pe_s(ji,jj,1:nlay_s,jl) * zfra pv_s(ji,jj,jl) = pv_s(ji,jj,jl) - zvs_excess ENDIF ! ENDIF END DO END DO END DO ! !-- correct pond concentration to avoid a_ip > a_i -- ! WHERE( pa_ip(:,:,:) > pa_i(:,:,:) ) pa_ip(:,:,:) = pa_i(:,:,:) ! END SUBROUTINE Hsnow SUBROUTINE adv_pra_init !!------------------------------------------------------------------- !! *** ROUTINE adv_pra_init *** !! !! ** Purpose : allocate and initialize arrays for Prather advection !!------------------------------------------------------------------- INTEGER :: ierr !!------------------------------------------------------------------- ! ! !* allocate prather fields ALLOCATE( sxice(jpi,jpj,jpl) , syice(jpi,jpj,jpl) , sxxice(jpi,jpj,jpl) , syyice(jpi,jpj,jpl) , sxyice(jpi,jpj,jpl) , & & sxsn (jpi,jpj,jpl) , sysn (jpi,jpj,jpl) , sxxsn (jpi,jpj,jpl) , syysn (jpi,jpj,jpl) , sxysn (jpi,jpj,jpl) , & & sxa (jpi,jpj,jpl) , sya (jpi,jpj,jpl) , sxxa (jpi,jpj,jpl) , syya (jpi,jpj,jpl) , sxya (jpi,jpj,jpl) , & & sxsal(jpi,jpj,jpl) , sysal(jpi,jpj,jpl) , sxxsal(jpi,jpj,jpl) , syysal(jpi,jpj,jpl) , sxysal(jpi,jpj,jpl) , & & sxage(jpi,jpj,jpl) , syage(jpi,jpj,jpl) , sxxage(jpi,jpj,jpl) , syyage(jpi,jpj,jpl) , sxyage(jpi,jpj,jpl) , & & sxap(jpi,jpj,jpl) , syap (jpi,jpj,jpl) , sxxap (jpi,jpj,jpl) , syyap (jpi,jpj,jpl) , sxyap (jpi,jpj,jpl) , & & sxvp(jpi,jpj,jpl) , syvp (jpi,jpj,jpl) , sxxvp (jpi,jpj,jpl) , syyvp (jpi,jpj,jpl) , sxyvp (jpi,jpj,jpl) , & ! & sxc0 (jpi,jpj,nlay_s,jpl) , syc0 (jpi,jpj,nlay_s,jpl) , sxxc0(jpi,jpj,nlay_s,jpl) , & & syyc0(jpi,jpj,nlay_s,jpl) , sxyc0(jpi,jpj,nlay_s,jpl) , & ! & sxe (jpi,jpj,nlay_i,jpl) , sye (jpi,jpj,nlay_i,jpl) , sxxe (jpi,jpj,nlay_i,jpl) , & & syye (jpi,jpj,nlay_i,jpl) , sxye (jpi,jpj,nlay_i,jpl) , & & STAT = ierr ) ! CALL mpp_sum( 'icedyn_adv_pra', ierr ) IF( ierr /= 0 ) CALL ctl_stop('STOP', 'adv_pra_init : unable to allocate ice arrays for Prather advection scheme') ! CALL adv_pra_rst( 'READ' ) !* read or initialize all required files ! END SUBROUTINE adv_pra_init SUBROUTINE adv_pra_rst( cdrw, kt ) !!--------------------------------------------------------------------- !! *** ROUTINE adv_pra_rst *** !! !! ** Purpose : Read or write file in restart file !! !! ** Method : use of IOM library !!---------------------------------------------------------------------- CHARACTER(len=*) , INTENT(in) :: cdrw ! "READ"/"WRITE" flag INTEGER, OPTIONAL, INTENT(in) :: kt ! ice time-step ! INTEGER :: jk, jl ! dummy loop indices INTEGER :: iter ! local integer INTEGER :: id1 ! local integer CHARACTER(len=25) :: znam CHARACTER(len=2) :: zchar, zchar1 REAL(wp), DIMENSION(jpi,jpj,jpl) :: z3d ! 3D workspace !!---------------------------------------------------------------------- ! ! !==========================! IF( TRIM(cdrw) == 'READ' ) THEN !== Read or initialize ==! ! !==========================! ! IF( ln_rstart ) THEN ; id1 = iom_varid( numrir, 'sxice' , ldstop = .FALSE. ) ! file exist: id1>0 ELSE ; id1 = 0 ! no restart: id1=0 ENDIF ! IF( id1 > 0 ) THEN !** Read the restart file **! ! ! ! ice thickness CALL iom_get( numrir, jpdom_autoglo, 'sxice' , sxice ) CALL iom_get( numrir, jpdom_autoglo, 'syice' , syice ) CALL iom_get( numrir, jpdom_autoglo, 'sxxice', sxxice ) CALL iom_get( numrir, jpdom_autoglo, 'syyice', syyice ) CALL iom_get( numrir, jpdom_autoglo, 'sxyice', sxyice ) ! ! snow thickness CALL iom_get( numrir, jpdom_autoglo, 'sxsn' , sxsn ) CALL iom_get( numrir, jpdom_autoglo, 'sysn' , sysn ) CALL iom_get( numrir, jpdom_autoglo, 'sxxsn' , sxxsn ) CALL iom_get( numrir, jpdom_autoglo, 'syysn' , syysn ) CALL iom_get( numrir, jpdom_autoglo, 'sxysn' , sxysn ) ! ! ice concentration CALL iom_get( numrir, jpdom_autoglo, 'sxa' , sxa ) CALL iom_get( numrir, jpdom_autoglo, 'sya' , sya ) CALL iom_get( numrir, jpdom_autoglo, 'sxxa' , sxxa ) CALL iom_get( numrir, jpdom_autoglo, 'syya' , syya ) CALL iom_get( numrir, jpdom_autoglo, 'sxya' , sxya ) ! ! ice salinity CALL iom_get( numrir, jpdom_autoglo, 'sxsal' , sxsal ) CALL iom_get( numrir, jpdom_autoglo, 'sysal' , sysal ) CALL iom_get( numrir, jpdom_autoglo, 'sxxsal', sxxsal ) CALL iom_get( numrir, jpdom_autoglo, 'syysal', syysal ) CALL iom_get( numrir, jpdom_autoglo, 'sxysal', sxysal ) ! ! ice age CALL iom_get( numrir, jpdom_autoglo, 'sxage' , sxage ) CALL iom_get( numrir, jpdom_autoglo, 'syage' , syage ) CALL iom_get( numrir, jpdom_autoglo, 'sxxage', sxxage ) CALL iom_get( numrir, jpdom_autoglo, 'syyage', syyage ) CALL iom_get( numrir, jpdom_autoglo, 'sxyage', sxyage ) ! ! snow layers heat content DO jk = 1, nlay_s WRITE(zchar1,'(I2.2)') jk znam = 'sxc0'//'_l'//zchar1 ; CALL iom_get( numrir, jpdom_autoglo, znam , z3d ) ; sxc0 (:,:,jk,:) = z3d(:,:,:) znam = 'syc0'//'_l'//zchar1 ; CALL iom_get( numrir, jpdom_autoglo, znam , z3d ) ; syc0 (:,:,jk,:) = z3d(:,:,:) znam = 'sxxc0'//'_l'//zchar1 ; CALL iom_get( numrir, jpdom_autoglo, znam , z3d ) ; sxxc0(:,:,jk,:) = z3d(:,:,:) znam = 'syyc0'//'_l'//zchar1 ; CALL iom_get( numrir, jpdom_autoglo, znam , z3d ) ; syyc0(:,:,jk,:) = z3d(:,:,:) znam = 'sxyc0'//'_l'//zchar1 ; CALL iom_get( numrir, jpdom_autoglo, znam , z3d ) ; sxyc0(:,:,jk,:) = z3d(:,:,:) END DO ! ! ice layers heat content DO jk = 1, nlay_i WRITE(zchar1,'(I2.2)') jk znam = 'sxe'//'_l'//zchar1 ; CALL iom_get( numrir, jpdom_autoglo, znam , z3d ) ; sxe (:,:,jk,:) = z3d(:,:,:) znam = 'sye'//'_l'//zchar1 ; CALL iom_get( numrir, jpdom_autoglo, znam , z3d ) ; sye (:,:,jk,:) = z3d(:,:,:) znam = 'sxxe'//'_l'//zchar1 ; CALL iom_get( numrir, jpdom_autoglo, znam , z3d ) ; sxxe(:,:,jk,:) = z3d(:,:,:) znam = 'syye'//'_l'//zchar1 ; CALL iom_get( numrir, jpdom_autoglo, znam , z3d ) ; syye(:,:,jk,:) = z3d(:,:,:) znam = 'sxye'//'_l'//zchar1 ; CALL iom_get( numrir, jpdom_autoglo, znam , z3d ) ; sxye(:,:,jk,:) = z3d(:,:,:) END DO ! IF( ln_pnd_H12 ) THEN ! melt pond fraction CALL iom_get( numrir, jpdom_autoglo, 'sxap' , sxap ) CALL iom_get( numrir, jpdom_autoglo, 'syap' , syap ) CALL iom_get( numrir, jpdom_autoglo, 'sxxap', sxxap ) CALL iom_get( numrir, jpdom_autoglo, 'syyap', syyap ) CALL iom_get( numrir, jpdom_autoglo, 'sxyap', sxyap ) ! ! melt pond volume CALL iom_get( numrir, jpdom_autoglo, 'sxvp' , sxvp ) CALL iom_get( numrir, jpdom_autoglo, 'syvp' , syvp ) CALL iom_get( numrir, jpdom_autoglo, 'sxxvp', sxxvp ) CALL iom_get( numrir, jpdom_autoglo, 'syyvp', syyvp ) CALL iom_get( numrir, jpdom_autoglo, 'sxyvp', sxyvp ) ENDIF ! ELSE !** start rheology from rest **! ! IF(lwp) WRITE(numout,*) ' ==>> start from rest OR previous run without Prather, set moments to 0' ! sxice = 0._wp ; syice = 0._wp ; sxxice = 0._wp ; syyice = 0._wp ; sxyice = 0._wp ! ice thickness sxsn = 0._wp ; sysn = 0._wp ; sxxsn = 0._wp ; syysn = 0._wp ; sxysn = 0._wp ! snow thickness sxa = 0._wp ; sya = 0._wp ; sxxa = 0._wp ; syya = 0._wp ; sxya = 0._wp ! ice concentration sxsal = 0._wp ; sysal = 0._wp ; sxxsal = 0._wp ; syysal = 0._wp ; sxysal = 0._wp ! ice salinity sxage = 0._wp ; syage = 0._wp ; sxxage = 0._wp ; syyage = 0._wp ; sxyage = 0._wp ! ice age sxc0 = 0._wp ; syc0 = 0._wp ; sxxc0 = 0._wp ; syyc0 = 0._wp ; sxyc0 = 0._wp ! snow layers heat content sxe = 0._wp ; sye = 0._wp ; sxxe = 0._wp ; syye = 0._wp ; sxye = 0._wp ! ice layers heat content IF( ln_pnd_H12 ) THEN sxap = 0._wp ; syap = 0._wp ; sxxap = 0._wp ; syyap = 0._wp ; sxyap = 0._wp ! melt pond fraction sxvp = 0._wp ; syvp = 0._wp ; sxxvp = 0._wp ; syyvp = 0._wp ; sxyvp = 0._wp ! melt pond volume ENDIF ENDIF ! ! !=====================================! ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN !== write in the ice restart file ==! ! !=====================================! IF(lwp) WRITE(numout,*) '---- ice-adv-rst ----' iter = kt + nn_fsbc - 1 ! ice restarts are written at kt == nitrst - nn_fsbc + 1 ! ! ! In case Prather scheme is used for advection, write second order moments ! ------------------------------------------------------------------------ ! ! ! ice thickness CALL iom_rstput( iter, nitrst, numriw, 'sxice' , sxice ) CALL iom_rstput( iter, nitrst, numriw, 'syice' , syice ) CALL iom_rstput( iter, nitrst, numriw, 'sxxice', sxxice ) CALL iom_rstput( iter, nitrst, numriw, 'syyice', syyice ) CALL iom_rstput( iter, nitrst, numriw, 'sxyice', sxyice ) ! ! snow thickness CALL iom_rstput( iter, nitrst, numriw, 'sxsn' , sxsn ) CALL iom_rstput( iter, nitrst, numriw, 'sysn' , sysn ) CALL iom_rstput( iter, nitrst, numriw, 'sxxsn' , sxxsn ) CALL iom_rstput( iter, nitrst, numriw, 'syysn' , syysn ) CALL iom_rstput( iter, nitrst, numriw, 'sxysn' , sxysn ) ! ! ice concentration CALL iom_rstput( iter, nitrst, numriw, 'sxa' , sxa ) CALL iom_rstput( iter, nitrst, numriw, 'sya' , sya ) CALL iom_rstput( iter, nitrst, numriw, 'sxxa' , sxxa ) CALL iom_rstput( iter, nitrst, numriw, 'syya' , syya ) CALL iom_rstput( iter, nitrst, numriw, 'sxya' , sxya ) ! ! ice salinity CALL iom_rstput( iter, nitrst, numriw, 'sxsal' , sxsal ) CALL iom_rstput( iter, nitrst, numriw, 'sysal' , sysal ) CALL iom_rstput( iter, nitrst, numriw, 'sxxsal', sxxsal ) CALL iom_rstput( iter, nitrst, numriw, 'syysal', syysal ) CALL iom_rstput( iter, nitrst, numriw, 'sxysal', sxysal ) ! ! ice age CALL iom_rstput( iter, nitrst, numriw, 'sxage' , sxage ) CALL iom_rstput( iter, nitrst, numriw, 'syage' , syage ) CALL iom_rstput( iter, nitrst, numriw, 'sxxage', sxxage ) CALL iom_rstput( iter, nitrst, numriw, 'syyage', syyage ) CALL iom_rstput( iter, nitrst, numriw, 'sxyage', sxyage ) ! ! snow layers heat content DO jk = 1, nlay_s WRITE(zchar1,'(I2.2)') jk znam = 'sxc0'//'_l'//zchar1 ; z3d(:,:,:) = sxc0 (:,:,jk,:) ; CALL iom_rstput( iter, nitrst, numriw, znam , z3d ) znam = 'syc0'//'_l'//zchar1 ; z3d(:,:,:) = syc0 (:,:,jk,:) ; CALL iom_rstput( iter, nitrst, numriw, znam , z3d ) znam = 'sxxc0'//'_l'//zchar1 ; z3d(:,:,:) = sxxc0(:,:,jk,:) ; CALL iom_rstput( iter, nitrst, numriw, znam , z3d ) znam = 'syyc0'//'_l'//zchar1 ; z3d(:,:,:) = syyc0(:,:,jk,:) ; CALL iom_rstput( iter, nitrst, numriw, znam , z3d ) znam = 'sxyc0'//'_l'//zchar1 ; z3d(:,:,:) = sxyc0(:,:,jk,:) ; CALL iom_rstput( iter, nitrst, numriw, znam , z3d ) END DO ! ! ice layers heat content DO jk = 1, nlay_i WRITE(zchar1,'(I2.2)') jk znam = 'sxe'//'_l'//zchar1 ; z3d(:,:,:) = sxe (:,:,jk,:) ; CALL iom_rstput( iter, nitrst, numriw, znam , z3d ) znam = 'sye'//'_l'//zchar1 ; z3d(:,:,:) = sye (:,:,jk,:) ; CALL iom_rstput( iter, nitrst, numriw, znam , z3d ) znam = 'sxxe'//'_l'//zchar1 ; z3d(:,:,:) = sxxe(:,:,jk,:) ; CALL iom_rstput( iter, nitrst, numriw, znam , z3d ) znam = 'syye'//'_l'//zchar1 ; z3d(:,:,:) = syye(:,:,jk,:) ; CALL iom_rstput( iter, nitrst, numriw, znam , z3d ) znam = 'sxye'//'_l'//zchar1 ; z3d(:,:,:) = sxye(:,:,jk,:) ; CALL iom_rstput( iter, nitrst, numriw, znam , z3d ) END DO ! IF( ln_pnd_H12 ) THEN ! melt pond fraction CALL iom_rstput( iter, nitrst, numriw, 'sxap' , sxap ) CALL iom_rstput( iter, nitrst, numriw, 'syap' , syap ) CALL iom_rstput( iter, nitrst, numriw, 'sxxap', sxxap ) CALL iom_rstput( iter, nitrst, numriw, 'syyap', syyap ) CALL iom_rstput( iter, nitrst, numriw, 'sxyap', sxyap ) ! ! melt pond volume CALL iom_rstput( iter, nitrst, numriw, 'sxvp' , sxvp ) CALL iom_rstput( iter, nitrst, numriw, 'syvp' , syvp ) CALL iom_rstput( iter, nitrst, numriw, 'sxxvp', sxxvp ) CALL iom_rstput( iter, nitrst, numriw, 'syyvp', syyvp ) CALL iom_rstput( iter, nitrst, numriw, 'sxyvp', sxyvp ) ENDIF ! ENDIF ! END SUBROUTINE adv_pra_rst #else !!---------------------------------------------------------------------- !! Default option Dummy module NO SI3 sea-ice model !!---------------------------------------------------------------------- #endif !!====================================================================== END MODULE icedyn_adv_pra