| [8409] | 1 | MODULE iceadv_prather |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE iceadv_prather *** |
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| 4 | !! LIM sea-ice model : sea-ice advection => Prather scheme |
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| 5 | !!====================================================================== |
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| 6 | !! History : LIM ! 2008-03 (M. Vancoppenolle) LIM-3 from LIM-2 code |
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| [8486] | 7 | !! 3.2 ! 2009-06 (F. Dupont) correct a error in the North fold b.c. |
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| [8409] | 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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| [8486] | 12 | !! 'key_lim3' LIM3 sea-ice model |
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| [8409] | 13 | !!---------------------------------------------------------------------- |
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| [8504] | 14 | !! ice_adv_prather : advection of sea ice using Prather scheme |
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| [8409] | 15 | !!---------------------------------------------------------------------- |
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| [8486] | 16 | USE dom_oce ! ocean domain |
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| 17 | USE ice ! sea-ice variables |
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| [8504] | 18 | USE sbc_oce , ONLY : nn_fsbc ! frequency of sea-ice call |
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| [8409] | 19 | ! |
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| [8486] | 20 | USE lbclnk ! lateral boundary condition - MPP exchanges |
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| 21 | USE in_out_manager ! I/O manager |
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| 22 | USE prtctl ! Print control |
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| 23 | USE lib_mpp ! MPP library |
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| 24 | USE lib_fortran ! to use key_nosignedzero |
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| [8409] | 25 | |
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| 26 | IMPLICIT NONE |
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| 27 | PRIVATE |
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| 28 | |
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| [8504] | 29 | PUBLIC ice_adv_prather ! called by iceadv |
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| [8409] | 30 | |
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| 31 | !! * Substitutions |
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| 32 | # include "vectopt_loop_substitute.h90" |
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| 33 | !!---------------------------------------------------------------------- |
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| [8486] | 34 | !! NEMO/ICE 4.0 , NEMO Consortium (2017) |
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| [8409] | 35 | !! $Id: iceadv.F90 6746 2016-06-27 17:20:57Z clem $ |
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| 36 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 37 | !!---------------------------------------------------------------------- |
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| 38 | CONTAINS |
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| 39 | |
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| [8504] | 40 | SUBROUTINE ice_adv_prather( kt, pu_ice, pv_ice, & |
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| 41 | & pato_i, pv_i, pv_s, psmv_i, poa_i, pa_i, pa_ip, pv_ip, pe_s, pe_i ) |
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| [8486] | 42 | !!---------------------------------------------------------------------- |
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| [8504] | 43 | !! ** routine ice_adv_prather ** |
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| [8409] | 44 | !! |
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| 45 | !! ** purpose : Computes and adds the advection trend to sea-ice |
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| 46 | !! |
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| 47 | !! ** method : Uses Prather second order scheme that advects tracers |
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| [8504] | 48 | !! but also their quadratic forms. The method preserves |
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| 49 | !! tracer structures by conserving second order moments. |
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| [8409] | 50 | !! |
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| 51 | !! Reference: Prather, 1986, JGR, 91, D6. 6671-6681. |
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| [8486] | 52 | !!---------------------------------------------------------------------- |
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| [8504] | 53 | INTEGER , INTENT(in ) :: kt ! time step |
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| 54 | REAL(wp), DIMENSION(:,:) , INTENT(in ) :: pu_ice ! ice i-velocity |
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| 55 | REAL(wp), DIMENSION(:,:) , INTENT(in ) :: pv_ice ! ice j-velocity |
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| 56 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pato_i ! open water area |
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| 57 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_i ! ice volume |
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| 58 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_s ! snw volume |
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| 59 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: psmv_i ! salt content |
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| 60 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: poa_i ! age content |
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| 61 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pa_i ! ice concentration |
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| 62 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pa_ip ! melt pond fraction |
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| 63 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_ip ! melt pond volume |
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| 64 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_s ! snw heat content |
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| 65 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_i ! ice heat content |
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| 66 | ! |
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| 67 | INTEGER :: jk, jl, jt ! dummy loop indices |
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| 68 | INTEGER :: initad ! number of sub-timestep for the advection |
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| 69 | REAL(wp) :: zcfl , zusnit ! - - |
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| 70 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zarea |
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| 71 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: z0opw |
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| 72 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: z0ice, z0snw, z0ai, z0es , z0smi , z0oi |
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| 73 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: z0ap , z0vp |
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| 74 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:,:) :: z0ei |
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| 75 | !!---------------------------------------------------------------------- |
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| 76 | ! |
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| 77 | IF( kt == nit000 .AND. lwp ) THEN |
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| 78 | WRITE(numout,*) |
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| 79 | WRITE(numout,*) 'ice_adv_prather: Prather advection scheme' |
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| 80 | WRITE(numout,*) '~~~~~~~~~~~~~~~' |
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| 81 | ENDIF |
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| 82 | ! |
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| 83 | ALLOCATE( zarea(jpi,jpj) , z0opw(jpi,jpj, 1 ) , & |
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| 84 | & z0ice(jpi,jpj,jpl) , z0snw(jpi,jpj,jpl) , z0ai(jpi,jpj,jpl) , z0es(jpi,jpj,jpl) , & |
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| 85 | & z0smi(jpi,jpj,jpl) , z0oi (jpi,jpj,jpl) , z0ap(jpi,jpj,jpl) , z0vp(jpi,jpj,jpl) , & |
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| 86 | & z0ei (jpi,jpj,nlay_i,jpl) ) |
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| 87 | ! |
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| 88 | ! --- If ice drift field is too fast, use an appropriate time step for advection (CFL test for stability) --- ! |
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| 89 | zcfl = MAXVAL( ABS( pu_ice(:,:) ) * rdt_ice * r1_e1u(:,:) ) |
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| 90 | zcfl = MAX( zcfl, MAXVAL( ABS( pv_ice(:,:) ) * rdt_ice * r1_e2v(:,:) ) ) |
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| 91 | IF( lk_mpp ) CALL mpp_max( zcfl ) |
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| 92 | |
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| 93 | IF( zcfl > 0.5 ) THEN ; initad = 2 ; zusnit = 0.5_wp |
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| 94 | ELSE ; initad = 1 ; zusnit = 1.0_wp |
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| 95 | ENDIF |
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| 96 | |
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| 97 | zarea(:,:) = e1e2t(:,:) |
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| 98 | !------------------------- |
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| 99 | ! transported fields |
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| 100 | !------------------------- |
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| 101 | z0opw(:,:,1) = pato_i(:,:) * e1e2t(:,:) ! Open water area |
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| 102 | DO jl = 1, jpl |
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| 103 | z0snw(:,:,jl) = pv_s (:,:, jl) * e1e2t(:,:) ! Snow volume |
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| 104 | z0ice(:,:,jl) = pv_i (:,:, jl) * e1e2t(:,:) ! Ice volume |
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| 105 | z0ai (:,:,jl) = pa_i (:,:, jl) * e1e2t(:,:) ! Ice area |
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| 106 | z0smi(:,:,jl) = psmv_i(:,:, jl) * e1e2t(:,:) ! Salt content |
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| 107 | z0oi (:,:,jl) = poa_i (:,:, jl) * e1e2t(:,:) ! Age content |
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| 108 | z0es (:,:,jl) = pe_s (:,:,1,jl) * e1e2t(:,:) ! Snow heat content |
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| 109 | DO jk = 1, nlay_i |
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| 110 | z0ei(:,:,jk,jl) = pe_i(:,:,jk,jl) * e1e2t(:,:) ! Ice heat content |
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| 111 | END DO |
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| 112 | IF ( nn_pnd_scheme > 0 ) THEN |
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| 113 | z0ap(:,:,jl) = pa_ip(:,:,jl) * e1e2t(:,:) ! Melt pond fraction |
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| 114 | z0vp(:,:,jl) = pv_ip(:,:,jl) * e1e2t(:,:) ! Melt pond volume |
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| 115 | ENDIF |
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| 116 | END DO |
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| 117 | |
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| 118 | ! !--------------------------------------------! |
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| 119 | IF( MOD( ( kt - 1) / nn_fsbc , 2 ) == 0 ) THEN !== odd ice time step: adv_x then adv_y ==! |
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| 120 | ! !--------------------------------------------! |
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| 121 | DO jt = 1, initad |
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| 122 | CALL adv_x( zusnit, pu_ice, 1._wp, zarea, z0opw (:,:,1), sxopw(:,:), & !--- ice open water area |
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| 123 | & sxxopw(:,:) , syopw(:,:), syyopw(:,:), sxyopw(:,:) ) |
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| 124 | CALL adv_y( zusnit, pv_ice, 0._wp, zarea, z0opw (:,:,1), sxopw(:,:), & |
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| 125 | & sxxopw(:,:) , syopw(:,:), syyopw(:,:), sxyopw(:,:) ) |
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| 126 | DO jl = 1, jpl |
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| 127 | CALL adv_x( zusnit, pu_ice, 1._wp, zarea, z0ice (:,:,jl), sxice(:,:,jl), & !--- ice volume --- |
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| 128 | & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) ) |
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| 129 | CALL adv_y( zusnit, pv_ice, 0._wp, zarea, z0ice (:,:,jl), sxice(:,:,jl), & |
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| 130 | & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) ) |
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| 131 | CALL adv_x( zusnit, pu_ice, 1._wp, zarea, z0snw (:,:,jl), sxsn (:,:,jl), & !--- snow volume --- |
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| 132 | & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) ) |
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| 133 | CALL adv_y( zusnit, pv_ice, 0._wp, zarea, z0snw (:,:,jl), sxsn (:,:,jl), & |
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| 134 | & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) ) |
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| 135 | CALL adv_x( zusnit, pu_ice, 1._wp, zarea, z0smi (:,:,jl), sxsal(:,:,jl), & !--- ice salinity --- |
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| 136 | & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) ) |
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| 137 | CALL adv_y( zusnit, pv_ice, 0._wp, zarea, z0smi (:,:,jl), sxsal(:,:,jl), & |
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| 138 | & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) ) |
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| 139 | CALL adv_x( zusnit, pu_ice, 1._wp, zarea, z0oi (:,:,jl), sxage(:,:,jl), & !--- ice age --- |
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| 140 | & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) ) |
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| 141 | CALL adv_y( zusnit, pv_ice, 0._wp, zarea, z0oi (:,:,jl), sxage(:,:,jl), & |
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| 142 | & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) ) |
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| 143 | CALL adv_x( zusnit, pu_ice, 1._wp, zarea, z0ai (:,:,jl), sxa (:,:,jl), & !--- ice concentrations --- |
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| 144 | & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) ) |
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| 145 | CALL adv_y( zusnit, pv_ice, 0._wp, zarea, z0ai (:,:,jl), sxa (:,:,jl), & |
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| 146 | & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) ) |
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| 147 | CALL adv_x( zusnit, pu_ice, 1._wp, zarea, z0es (:,:,jl), sxc0 (:,:,jl), & !--- snow heat contents --- |
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| 148 | & sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) ) |
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| 149 | CALL adv_y( zusnit, pv_ice, 0._wp, zarea, z0es (:,:,jl), sxc0 (:,:,jl), & |
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| 150 | & sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) ) |
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| 151 | DO jk = 1, nlay_i !--- ice heat contents --- |
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| 152 | CALL adv_x( zusnit, pu_ice, 1._wp, zarea, z0ei(:,:,jk,jl), sxe (:,:,jk,jl), & |
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| 153 | & sxxe(:,:,jk,jl), sye (:,:,jk,jl), & |
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| 154 | & syye(:,:,jk,jl), sxye(:,:,jk,jl) ) |
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| 155 | CALL adv_y( zusnit, pv_ice, 0._wp, zarea, z0ei(:,:,jk,jl), sxe (:,:,jk,jl), & |
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| 156 | & sxxe(:,:,jk,jl), sye (:,:,jk,jl), & |
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| 157 | & syye(:,:,jk,jl), sxye(:,:,jk,jl) ) |
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| 158 | END DO |
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| 159 | IF ( nn_pnd_scheme > 0 ) THEN |
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| 160 | CALL adv_x( zusnit, pu_ice, 1._wp, zarea, z0ap (:,:,jl), sxap (:,:,jl), & !--- melt pond fraction -- |
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| 161 | & sxxap (:,:,jl), syap (:,:,jl), syyap (:,:,jl), sxyap (:,:,jl) ) |
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| 162 | CALL adv_y( zusnit, pv_ice, 0._wp, zarea, z0ap (:,:,jl), sxap (:,:,jl), & |
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| 163 | & sxxap (:,:,jl), syap (:,:,jl), syyap (:,:,jl), sxyap (:,:,jl) ) |
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| 164 | CALL adv_x( zusnit, pu_ice, 1._wp, zarea, z0vp (:,:,jl), sxvp (:,:,jl), & !--- melt pond volume -- |
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| 165 | & sxxvp (:,:,jl), syvp (:,:,jl), syyvp (:,:,jl), sxyvp (:,:,jl) ) |
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| 166 | CALL adv_y( zusnit, pv_ice, 0._wp, zarea, z0vp (:,:,jl), sxvp (:,:,jl), & |
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| 167 | & sxxvp (:,:,jl), syvp (:,:,jl), syyvp (:,:,jl), sxyvp (:,:,jl) ) |
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| 168 | ENDIF |
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| 169 | END DO |
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| 170 | END DO |
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| 171 | ! !--------------------------------------------! |
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| 172 | ELSE !== even ice time step: adv_y then adv_x ==! |
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| 173 | ! !--------------------------------------------! |
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| 174 | DO jt = 1, initad |
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| 175 | CALL adv_y( zusnit, pv_ice, 1._wp, zarea, z0opw (:,:,1), sxopw(:,:), & !--- ice open water area |
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| 176 | & sxxopw(:,:) , syopw(:,:), syyopw(:,:), sxyopw(:,:) ) |
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| 177 | CALL adv_x( zusnit, pu_ice, 0._wp, zarea, z0opw (:,:,1), sxopw(:,:), & |
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| 178 | & sxxopw(:,:) , syopw(:,:), syyopw(:,:), sxyopw(:,:) ) |
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| 179 | DO jl = 1, jpl |
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| 180 | CALL adv_y( zusnit, pv_ice, 1._wp, zarea, z0ice (:,:,jl), sxice(:,:,jl), & !--- ice volume --- |
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| 181 | & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) ) |
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| 182 | CALL adv_x( zusnit, pu_ice, 0._wp, zarea, z0ice (:,:,jl), sxice(:,:,jl), & |
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| 183 | & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) ) |
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| 184 | CALL adv_y( zusnit, pv_ice, 1._wp, zarea, z0snw (:,:,jl), sxsn (:,:,jl), & !--- snow volume --- |
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| 185 | & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) ) |
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| 186 | CALL adv_x( zusnit, pu_ice, 0._wp, zarea, z0snw (:,:,jl), sxsn (:,:,jl), & |
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| 187 | & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) ) |
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| 188 | CALL adv_y( zusnit, pv_ice, 1._wp, zarea, z0smi (:,:,jl), sxsal(:,:,jl), & !--- ice salinity --- |
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| 189 | & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) ) |
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| 190 | CALL adv_x( zusnit, pu_ice, 0._wp, zarea, z0smi (:,:,jl), sxsal(:,:,jl), & |
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| 191 | & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) ) |
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| 192 | CALL adv_y( zusnit, pv_ice, 1._wp, zarea, z0oi (:,:,jl), sxage(:,:,jl), & !--- ice age --- |
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| 193 | & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) ) |
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| 194 | CALL adv_x( zusnit, pu_ice, 0._wp, zarea, z0oi (:,:,jl), sxage(:,:,jl), & |
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| 195 | & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) ) |
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| 196 | CALL adv_y( zusnit, pv_ice, 1._wp, zarea, z0ai (:,:,jl), sxa (:,:,jl), & !--- ice concentrations --- |
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| 197 | & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) ) |
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| 198 | CALL adv_x( zusnit, pu_ice, 0._wp, zarea, z0ai (:,:,jl), sxa (:,:,jl), & |
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| 199 | & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) ) |
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| 200 | CALL adv_y( zusnit, pv_ice, 1._wp, zarea, z0es (:,:,jl), sxc0 (:,:,jl), & !--- snow heat contents --- |
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| 201 | & sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) ) |
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| 202 | CALL adv_x( zusnit, pu_ice, 0._wp, zarea, z0es (:,:,jl), sxc0 (:,:,jl), & |
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| 203 | & sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) ) |
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| 204 | DO jk = 1, nlay_i !--- ice heat contents --- |
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| 205 | CALL adv_y( zusnit, pv_ice, 1._wp, zarea, z0ei(:,:,jk,jl), sxe (:,:,jk,jl), & |
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| 206 | & sxxe(:,:,jk,jl), sye (:,:,jk,jl), & |
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| 207 | & syye(:,:,jk,jl), sxye(:,:,jk,jl) ) |
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| 208 | CALL adv_x( zusnit, pu_ice, 0._wp, zarea, z0ei(:,:,jk,jl), sxe (:,:,jk,jl), & |
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| 209 | & sxxe(:,:,jk,jl), sye (:,:,jk,jl), & |
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| 210 | & syye(:,:,jk,jl), sxye(:,:,jk,jl) ) |
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| 211 | END DO |
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| 212 | IF ( nn_pnd_scheme > 0 ) THEN |
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| 213 | CALL adv_y( zusnit, pv_ice, 1._wp, zarea, z0ap (:,:,jl), sxap (:,:,jl), & !--- melt pond fraction --- |
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| 214 | & sxxap (:,:,jl), syap (:,:,jl), syyap (:,:,jl), sxyap (:,:,jl) ) |
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| 215 | CALL adv_x( zusnit, pu_ice, 0._wp, zarea, z0ap (:,:,jl), sxap (:,:,jl), & |
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| 216 | & sxxap (:,:,jl), syap (:,:,jl), syyap (:,:,jl), sxyap (:,:,jl) ) |
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| 217 | CALL adv_y( zusnit, pv_ice, 1._wp, zarea, z0vp (:,:,jl), sxvp (:,:,jl), & !--- melt pond volume --- |
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| 218 | & sxxvp (:,:,jl), syvp (:,:,jl), syyvp (:,:,jl), sxyvp (:,:,jl) ) |
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| 219 | CALL adv_x( zusnit, pu_ice, 0._wp, zarea, z0vp (:,:,jl), sxvp (:,:,jl), & |
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| 220 | & sxxvp (:,:,jl), syvp (:,:,jl), syyvp (:,:,jl), sxyvp (:,:,jl) ) |
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| 221 | ENDIF |
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| 222 | END DO |
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| 223 | END DO |
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| 224 | ENDIF |
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| 225 | |
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| 226 | !------------------------------------------- |
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| 227 | ! Recover the properties from their contents |
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| 228 | !------------------------------------------- |
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| 229 | pato_i(:,:) = z0opw(:,:,1) * r1_e1e2t(:,:) |
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| 230 | DO jl = 1, jpl |
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| 231 | pv_i (:,:, jl) = z0ice(:,:,jl) * r1_e1e2t(:,:) |
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| 232 | pv_s (:,:, jl) = z0snw(:,:,jl) * r1_e1e2t(:,:) |
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| 233 | psmv_i(:,:, jl) = z0smi(:,:,jl) * r1_e1e2t(:,:) |
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| 234 | poa_i (:,:, jl) = z0oi (:,:,jl) * r1_e1e2t(:,:) |
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| 235 | pa_i (:,:, jl) = z0ai (:,:,jl) * r1_e1e2t(:,:) |
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| 236 | pe_s (:,:,1,jl) = z0es (:,:,jl) * r1_e1e2t(:,:) |
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| 237 | DO jk = 1, nlay_i |
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| 238 | pe_i(:,:,jk,jl) = z0ei(:,:,jk,jl) * r1_e1e2t(:,:) |
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| 239 | END DO |
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| 240 | ! MV MP 2016 |
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| 241 | IF ( nn_pnd_scheme > 0 ) THEN |
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| 242 | pa_ip (:,:,jl) = z0ap (:,:,jl) * r1_e1e2t(:,:) |
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| 243 | pv_ip (:,:,jl) = z0vp (:,:,jl) * r1_e1e2t(:,:) |
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| 244 | ENDIF |
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| 245 | ! END MV MP 2016 |
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| 246 | END DO |
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| 247 | ! |
|---|
| 248 | DEALLOCATE( zarea , z0opw , z0ice, z0snw , z0ai , z0es , z0smi , z0oi , z0ap , z0vp , z0ei ) |
|---|
| 249 | ! |
|---|
| 250 | END SUBROUTINE ice_adv_prather |
|---|
| 251 | |
|---|
| 252 | SUBROUTINE adv_x( pdf, put , pcrh, psm , ps0 , & |
|---|
| 253 | & psx, psxx, psy , psyy, psxy ) |
|---|
| 254 | !!---------------------------------------------------------------------- |
|---|
| 255 | !! ** routine adv_x ** |
|---|
| 256 | !! |
|---|
| 257 | !! ** purpose : Computes and adds the advection trend to sea-ice |
|---|
| 258 | !! variable on x axis |
|---|
| 259 | !!---------------------------------------------------------------------- |
|---|
| [8409] | 260 | REAL(wp) , INTENT(in ) :: pdf ! reduction factor for the time step |
|---|
| [8504] | 261 | REAL(wp) , INTENT(in ) :: pcrh ! call adv_x then adv_y (=1) or the opposite (=0) |
|---|
| [8409] | 262 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: put ! i-direction ice velocity at U-point [m/s] |
|---|
| 263 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: psm ! area |
|---|
| 264 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: ps0 ! field to be advected |
|---|
| 265 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: psx , psy ! 1st moments |
|---|
| 266 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: psxx, psyy, psxy ! 2nd moments |
|---|
| 267 | !! |
|---|
| 268 | INTEGER :: ji, jj ! dummy loop indices |
|---|
| 269 | REAL(wp) :: zs1max, zrdt, zslpmax, ztemp ! local scalars |
|---|
| 270 | REAL(wp) :: zs1new, zalf , zalfq , zbt ! - - |
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| 271 | REAL(wp) :: zs2new, zalf1, zalf1q, zbt1 ! - - |
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| 272 | REAL(wp), DIMENSION(jpi,jpj) :: zf0 , zfx , zfy , zbet ! 2D workspace |
|---|
| 273 | REAL(wp), DIMENSION(jpi,jpj) :: zfm , zfxx , zfyy , zfxy ! - - |
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| 274 | REAL(wp), DIMENSION(jpi,jpj) :: zalg, zalg1, zalg1q ! - - |
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| [8486] | 275 | !----------------------------------------------------------------------- |
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| [8409] | 276 | |
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| 277 | ! Limitation of moments. |
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| 278 | |
|---|
| 279 | zrdt = rdt_ice * pdf ! If ice drift field is too fast, use an appropriate time step for advection. |
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| 280 | |
|---|
| 281 | DO jj = 1, jpj |
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| 282 | DO ji = 1, jpi |
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| 283 | zslpmax = MAX( 0._wp, ps0(ji,jj) ) |
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| 284 | zs1max = 1.5 * zslpmax |
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| 285 | zs1new = MIN( zs1max, MAX( -zs1max, psx(ji,jj) ) ) |
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| 286 | zs2new = MIN( 2.0 * zslpmax - 0.3334 * ABS( zs1new ), & |
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| 287 | & MAX( ABS( zs1new ) - zslpmax, psxx(ji,jj) ) ) |
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| 288 | rswitch = ( 1.0 - MAX( 0._wp, SIGN( 1._wp, -zslpmax) ) ) * tmask(ji,jj,1) ! Case of empty boxes & Apply mask |
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| 289 | |
|---|
| 290 | ps0 (ji,jj) = zslpmax |
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| 291 | psx (ji,jj) = zs1new * rswitch |
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| 292 | psxx(ji,jj) = zs2new * rswitch |
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| 293 | psy (ji,jj) = psy (ji,jj) * rswitch |
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| 294 | psyy(ji,jj) = psyy(ji,jj) * rswitch |
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| 295 | psxy(ji,jj) = MIN( zslpmax, MAX( -zslpmax, psxy(ji,jj) ) ) * rswitch |
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| 296 | END DO |
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| 297 | END DO |
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| 298 | |
|---|
| 299 | ! Initialize volumes of boxes (=area if adv_x first called, =psm otherwise) |
|---|
| 300 | psm (:,:) = MAX( pcrh * e1e2t(:,:) + ( 1.0 - pcrh ) * psm(:,:) , epsi20 ) |
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| 301 | |
|---|
| 302 | ! Calculate fluxes and moments between boxes i<-->i+1 |
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| 303 | DO jj = 1, jpj ! Flux from i to i+1 WHEN u GT 0 |
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| 304 | DO ji = 1, jpi |
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| 305 | zbet(ji,jj) = MAX( 0._wp, SIGN( 1._wp, put(ji,jj) ) ) |
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| 306 | zalf = MAX( 0._wp, put(ji,jj) ) * zrdt * e2u(ji,jj) / psm(ji,jj) |
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| 307 | zalfq = zalf * zalf |
|---|
| 308 | zalf1 = 1.0 - zalf |
|---|
| 309 | zalf1q = zalf1 * zalf1 |
|---|
| 310 | ! |
|---|
| 311 | zfm (ji,jj) = zalf * psm (ji,jj) |
|---|
| 312 | zf0 (ji,jj) = zalf * ( ps0 (ji,jj) + zalf1 * ( psx(ji,jj) + (zalf1 - zalf) * psxx(ji,jj) ) ) |
|---|
| 313 | zfx (ji,jj) = zalfq * ( psx (ji,jj) + 3.0 * zalf1 * psxx(ji,jj) ) |
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| 314 | zfxx(ji,jj) = zalf * psxx(ji,jj) * zalfq |
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| 315 | zfy (ji,jj) = zalf * ( psy (ji,jj) + zalf1 * psxy(ji,jj) ) |
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| 316 | zfxy(ji,jj) = zalfq * psxy(ji,jj) |
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| 317 | zfyy(ji,jj) = zalf * psyy(ji,jj) |
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| 318 | |
|---|
| 319 | ! Readjust moments remaining in the box. |
|---|
| 320 | psm (ji,jj) = psm (ji,jj) - zfm(ji,jj) |
|---|
| 321 | ps0 (ji,jj) = ps0 (ji,jj) - zf0(ji,jj) |
|---|
| 322 | psx (ji,jj) = zalf1q * ( psx(ji,jj) - 3.0 * zalf * psxx(ji,jj) ) |
|---|
| 323 | psxx(ji,jj) = zalf1 * zalf1q * psxx(ji,jj) |
|---|
| 324 | psy (ji,jj) = psy (ji,jj) - zfy(ji,jj) |
|---|
| 325 | psyy(ji,jj) = psyy(ji,jj) - zfyy(ji,jj) |
|---|
| 326 | psxy(ji,jj) = zalf1q * psxy(ji,jj) |
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| 327 | END DO |
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| 328 | END DO |
|---|
| 329 | |
|---|
| 330 | DO jj = 1, jpjm1 ! Flux from i+1 to i when u LT 0. |
|---|
| 331 | DO ji = 1, fs_jpim1 |
|---|
| 332 | zalf = MAX( 0._wp, -put(ji,jj) ) * zrdt * e2u(ji,jj) / psm(ji+1,jj) |
|---|
| 333 | zalg (ji,jj) = zalf |
|---|
| 334 | zalfq = zalf * zalf |
|---|
| 335 | zalf1 = 1.0 - zalf |
|---|
| 336 | zalg1 (ji,jj) = zalf1 |
|---|
| 337 | zalf1q = zalf1 * zalf1 |
|---|
| 338 | zalg1q(ji,jj) = zalf1q |
|---|
| 339 | ! |
|---|
| 340 | zfm (ji,jj) = zfm (ji,jj) + zalf * psm (ji+1,jj) |
|---|
| 341 | zf0 (ji,jj) = zf0 (ji,jj) + zalf * ( ps0 (ji+1,jj) - zalf1 * ( psx(ji+1,jj) - (zalf1 - zalf ) * psxx(ji+1,jj) ) ) |
|---|
| 342 | zfx (ji,jj) = zfx (ji,jj) + zalfq * ( psx (ji+1,jj) - 3.0 * zalf1 * psxx(ji+1,jj) ) |
|---|
| 343 | zfxx (ji,jj) = zfxx(ji,jj) + zalf * psxx(ji+1,jj) * zalfq |
|---|
| 344 | zfy (ji,jj) = zfy (ji,jj) + zalf * ( psy (ji+1,jj) - zalf1 * psxy(ji+1,jj) ) |
|---|
| 345 | zfxy (ji,jj) = zfxy(ji,jj) + zalfq * psxy(ji+1,jj) |
|---|
| 346 | zfyy (ji,jj) = zfyy(ji,jj) + zalf * psyy(ji+1,jj) |
|---|
| 347 | END DO |
|---|
| 348 | END DO |
|---|
| 349 | |
|---|
| 350 | DO jj = 2, jpjm1 ! Readjust moments remaining in the box. |
|---|
| 351 | DO ji = fs_2, fs_jpim1 |
|---|
| 352 | zbt = zbet(ji-1,jj) |
|---|
| 353 | zbt1 = 1.0 - zbet(ji-1,jj) |
|---|
| 354 | ! |
|---|
| 355 | psm (ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) - zfm(ji-1,jj) ) |
|---|
| 356 | ps0 (ji,jj) = zbt * ps0(ji,jj) + zbt1 * ( ps0(ji,jj) - zf0(ji-1,jj) ) |
|---|
| 357 | psx (ji,jj) = zalg1q(ji-1,jj) * ( psx(ji,jj) + 3.0 * zalg(ji-1,jj) * psxx(ji,jj) ) |
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| 358 | psxx(ji,jj) = zalg1 (ji-1,jj) * zalg1q(ji-1,jj) * psxx(ji,jj) |
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| 359 | psy (ji,jj) = zbt * psy (ji,jj) + zbt1 * ( psy (ji,jj) - zfy (ji-1,jj) ) |
|---|
| 360 | psyy(ji,jj) = zbt * psyy(ji,jj) + zbt1 * ( psyy(ji,jj) - zfyy(ji-1,jj) ) |
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| 361 | psxy(ji,jj) = zalg1q(ji-1,jj) * psxy(ji,jj) |
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| 362 | END DO |
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| 363 | END DO |
|---|
| 364 | |
|---|
| 365 | ! Put the temporary moments into appropriate neighboring boxes. |
|---|
| 366 | DO jj = 2, jpjm1 ! Flux from i to i+1 IF u GT 0. |
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| 367 | DO ji = fs_2, fs_jpim1 |
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| 368 | zbt = zbet(ji-1,jj) |
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| 369 | zbt1 = 1.0 - zbet(ji-1,jj) |
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| 370 | psm(ji,jj) = zbt * ( psm(ji,jj) + zfm(ji-1,jj) ) + zbt1 * psm(ji,jj) |
|---|
| 371 | zalf = zbt * zfm(ji-1,jj) / psm(ji,jj) |
|---|
| 372 | zalf1 = 1.0 - zalf |
|---|
| 373 | ztemp = zalf * ps0(ji,jj) - zalf1 * zf0(ji-1,jj) |
|---|
| 374 | ! |
|---|
| 375 | ps0 (ji,jj) = zbt * ( ps0(ji,jj) + zf0(ji-1,jj) ) + zbt1 * ps0(ji,jj) |
|---|
| 376 | psx (ji,jj) = zbt * ( zalf * zfx(ji-1,jj) + zalf1 * psx(ji,jj) + 3.0 * ztemp ) + zbt1 * psx(ji,jj) |
|---|
| 377 | psxx(ji,jj) = zbt * ( zalf * zalf * zfxx(ji-1,jj) + zalf1 * zalf1 * psxx(ji,jj) & |
|---|
| 378 | & + 5.0 * ( zalf * zalf1 * ( psx (ji,jj) - zfx(ji-1,jj) ) - ( zalf1 - zalf ) * ztemp ) ) & |
|---|
| 379 | & + zbt1 * psxx(ji,jj) |
|---|
| 380 | psxy(ji,jj) = zbt * ( zalf * zfxy(ji-1,jj) + zalf1 * psxy(ji,jj) & |
|---|
| 381 | & + 3.0 * (- zalf1*zfy(ji-1,jj) + zalf * psy(ji,jj) ) ) & |
|---|
| 382 | & + zbt1 * psxy(ji,jj) |
|---|
| 383 | psy (ji,jj) = zbt * ( psy (ji,jj) + zfy (ji-1,jj) ) + zbt1 * psy (ji,jj) |
|---|
| 384 | psyy(ji,jj) = zbt * ( psyy(ji,jj) + zfyy(ji-1,jj) ) + zbt1 * psyy(ji,jj) |
|---|
| 385 | END DO |
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| 386 | END DO |
|---|
| 387 | |
|---|
| 388 | DO jj = 2, jpjm1 ! Flux from i+1 to i IF u LT 0. |
|---|
| 389 | DO ji = fs_2, fs_jpim1 |
|---|
| 390 | zbt = zbet(ji,jj) |
|---|
| 391 | zbt1 = 1.0 - zbet(ji,jj) |
|---|
| 392 | psm(ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) + zfm(ji,jj) ) |
|---|
| 393 | zalf = zbt1 * zfm(ji,jj) / psm(ji,jj) |
|---|
| 394 | zalf1 = 1.0 - zalf |
|---|
| 395 | ztemp = - zalf * ps0(ji,jj) + zalf1 * zf0(ji,jj) |
|---|
| 396 | ! |
|---|
| 397 | ps0(ji,jj) = zbt * ps0 (ji,jj) + zbt1 * ( ps0(ji,jj) + zf0(ji,jj) ) |
|---|
| 398 | psx(ji,jj) = zbt * psx (ji,jj) + zbt1 * ( zalf * zfx(ji,jj) + zalf1 * psx(ji,jj) + 3.0 * ztemp ) |
|---|
| 399 | psxx(ji,jj) = zbt * psxx(ji,jj) + zbt1 * ( zalf * zalf * zfxx(ji,jj) + zalf1 * zalf1 * psxx(ji,jj) & |
|---|
| 400 | & + 5.0 *( zalf * zalf1 * ( - psx(ji,jj) + zfx(ji,jj) ) & |
|---|
| 401 | & + ( zalf1 - zalf ) * ztemp ) ) |
|---|
| 402 | psxy(ji,jj) = zbt * psxy(ji,jj) + zbt1 * ( zalf * zfxy(ji,jj) + zalf1 * psxy(ji,jj) & |
|---|
| 403 | & + 3.0 * ( zalf1 * zfy(ji,jj) - zalf * psy(ji,jj) ) ) |
|---|
| 404 | psy(ji,jj) = zbt * psy (ji,jj) + zbt1 * ( psy (ji,jj) + zfy (ji,jj) ) |
|---|
| 405 | psyy(ji,jj) = zbt * psyy(ji,jj) + zbt1 * ( psyy(ji,jj) + zfyy(ji,jj) ) |
|---|
| 406 | END DO |
|---|
| 407 | END DO |
|---|
| 408 | |
|---|
| 409 | !-- Lateral boundary conditions |
|---|
| 410 | CALL lbc_lnk_multi( psm , 'T', 1., ps0 , 'T', 1. & |
|---|
| 411 | & , psx , 'T', -1., psy , 'T', -1. & ! caution gradient ==> the sign changes |
|---|
| 412 | & , psxx, 'T', 1., psyy, 'T', 1. & |
|---|
| 413 | & , psxy, 'T', 1. ) |
|---|
| 414 | |
|---|
| 415 | IF(ln_ctl) THEN |
|---|
| [8504] | 416 | CALL prt_ctl(tab2d_1=psm , clinfo1=' adv_x: psm :', tab2d_2=ps0 , clinfo2=' ps0 : ') |
|---|
| 417 | CALL prt_ctl(tab2d_1=psx , clinfo1=' adv_x: psx :', tab2d_2=psxx, clinfo2=' psxx : ') |
|---|
| 418 | CALL prt_ctl(tab2d_1=psy , clinfo1=' adv_x: psy :', tab2d_2=psyy, clinfo2=' psyy : ') |
|---|
| 419 | CALL prt_ctl(tab2d_1=psxy , clinfo1=' adv_x: psxy :') |
|---|
| [8409] | 420 | ENDIF |
|---|
| 421 | ! |
|---|
| [8504] | 422 | END SUBROUTINE adv_x |
|---|
| [8409] | 423 | |
|---|
| 424 | |
|---|
| [8504] | 425 | SUBROUTINE adv_y( pdf, pvt , pcrh, psm , ps0 , & |
|---|
| 426 | & psx, psxx, psy , psyy, psxy ) |
|---|
| [8409] | 427 | !!--------------------------------------------------------------------- |
|---|
| [8504] | 428 | !! ** routine adv_y ** |
|---|
| [8409] | 429 | !! |
|---|
| 430 | !! ** purpose : Computes and adds the advection trend to sea-ice |
|---|
| [8504] | 431 | !! variable on y axis |
|---|
| [8409] | 432 | !!--------------------------------------------------------------------- |
|---|
| 433 | REAL(wp) , INTENT(in ) :: pdf ! reduction factor for the time step |
|---|
| [8504] | 434 | REAL(wp) , INTENT(in ) :: pcrh ! call adv_x then adv_y (=1) or the opposite (=0) |
|---|
| [8409] | 435 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pvt ! j-direction ice velocity at V-point [m/s] |
|---|
| 436 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: psm ! area |
|---|
| 437 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: ps0 ! field to be advected |
|---|
| 438 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: psx , psy ! 1st moments |
|---|
| 439 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: psxx, psyy, psxy ! 2nd moments |
|---|
| 440 | !! |
|---|
| 441 | INTEGER :: ji, jj ! dummy loop indices |
|---|
| 442 | REAL(wp) :: zs1max, zrdt, zslpmax, ztemp ! temporary scalars |
|---|
| 443 | REAL(wp) :: zs1new, zalf , zalfq , zbt ! - - |
|---|
| 444 | REAL(wp) :: zs2new, zalf1, zalf1q, zbt1 ! - - |
|---|
| 445 | REAL(wp), DIMENSION(jpi,jpj) :: zf0, zfx , zfy , zbet ! 2D workspace |
|---|
| 446 | REAL(wp), DIMENSION(jpi,jpj) :: zfm, zfxx, zfyy, zfxy ! - - |
|---|
| 447 | REAL(wp), DIMENSION(jpi,jpj) :: zalg, zalg1, zalg1q ! - - |
|---|
| 448 | !--------------------------------------------------------------------- |
|---|
| 449 | |
|---|
| 450 | ! Limitation of moments. |
|---|
| 451 | |
|---|
| 452 | zrdt = rdt_ice * pdf ! If ice drift field is too fast, use an appropriate time step for advection. |
|---|
| 453 | |
|---|
| 454 | DO jj = 1, jpj |
|---|
| 455 | DO ji = 1, jpi |
|---|
| 456 | zslpmax = MAX( 0._wp, ps0(ji,jj) ) |
|---|
| 457 | zs1max = 1.5 * zslpmax |
|---|
| 458 | zs1new = MIN( zs1max, MAX( -zs1max, psy(ji,jj) ) ) |
|---|
| 459 | zs2new = MIN( ( 2.0 * zslpmax - 0.3334 * ABS( zs1new ) ), & |
|---|
| 460 | & MAX( ABS( zs1new )-zslpmax, psyy(ji,jj) ) ) |
|---|
| 461 | rswitch = ( 1.0 - MAX( 0._wp, SIGN( 1._wp, -zslpmax) ) ) * tmask(ji,jj,1) ! Case of empty boxes & Apply mask |
|---|
| 462 | ! |
|---|
| 463 | ps0 (ji,jj) = zslpmax |
|---|
| 464 | psx (ji,jj) = psx (ji,jj) * rswitch |
|---|
| 465 | psxx(ji,jj) = psxx(ji,jj) * rswitch |
|---|
| 466 | psy (ji,jj) = zs1new * rswitch |
|---|
| 467 | psyy(ji,jj) = zs2new * rswitch |
|---|
| 468 | psxy(ji,jj) = MIN( zslpmax, MAX( -zslpmax, psxy(ji,jj) ) ) * rswitch |
|---|
| 469 | END DO |
|---|
| 470 | END DO |
|---|
| 471 | |
|---|
| 472 | ! Initialize volumes of boxes (=area if adv_x first called, =psm otherwise) |
|---|
| 473 | psm(:,:) = MAX( pcrh * e1e2t(:,:) + ( 1.0 - pcrh ) * psm(:,:) , epsi20 ) |
|---|
| 474 | |
|---|
| 475 | ! Calculate fluxes and moments between boxes j<-->j+1 |
|---|
| 476 | DO jj = 1, jpj ! Flux from j to j+1 WHEN v GT 0 |
|---|
| 477 | DO ji = 1, jpi |
|---|
| 478 | zbet(ji,jj) = MAX( 0._wp, SIGN( 1._wp, pvt(ji,jj) ) ) |
|---|
| 479 | zalf = MAX( 0._wp, pvt(ji,jj) ) * zrdt * e1v(ji,jj) / psm(ji,jj) |
|---|
| 480 | zalfq = zalf * zalf |
|---|
| 481 | zalf1 = 1.0 - zalf |
|---|
| 482 | zalf1q = zalf1 * zalf1 |
|---|
| 483 | ! |
|---|
| 484 | zfm (ji,jj) = zalf * psm(ji,jj) |
|---|
| 485 | zf0 (ji,jj) = zalf * ( ps0(ji,jj) + zalf1 * ( psy(ji,jj) + (zalf1-zalf) * psyy(ji,jj) ) ) |
|---|
| 486 | zfy (ji,jj) = zalfq *( psy(ji,jj) + 3.0*zalf1*psyy(ji,jj) ) |
|---|
| 487 | zfyy(ji,jj) = zalf * zalfq * psyy(ji,jj) |
|---|
| 488 | zfx (ji,jj) = zalf * ( psx(ji,jj) + zalf1 * psxy(ji,jj) ) |
|---|
| 489 | zfxy(ji,jj) = zalfq * psxy(ji,jj) |
|---|
| 490 | zfxx(ji,jj) = zalf * psxx(ji,jj) |
|---|
| 491 | ! |
|---|
| 492 | ! Readjust moments remaining in the box. |
|---|
| 493 | psm (ji,jj) = psm (ji,jj) - zfm(ji,jj) |
|---|
| 494 | ps0 (ji,jj) = ps0 (ji,jj) - zf0(ji,jj) |
|---|
| 495 | psy (ji,jj) = zalf1q * ( psy(ji,jj) -3.0 * zalf * psyy(ji,jj) ) |
|---|
| 496 | psyy(ji,jj) = zalf1 * zalf1q * psyy(ji,jj) |
|---|
| 497 | psx (ji,jj) = psx (ji,jj) - zfx(ji,jj) |
|---|
| 498 | psxx(ji,jj) = psxx(ji,jj) - zfxx(ji,jj) |
|---|
| 499 | psxy(ji,jj) = zalf1q * psxy(ji,jj) |
|---|
| 500 | END DO |
|---|
| 501 | END DO |
|---|
| 502 | ! |
|---|
| 503 | DO jj = 1, jpjm1 ! Flux from j+1 to j when v LT 0. |
|---|
| 504 | DO ji = 1, jpi |
|---|
| 505 | zalf = ( MAX(0._wp, -pvt(ji,jj) ) * zrdt * e1v(ji,jj) ) / psm(ji,jj+1) |
|---|
| 506 | zalg (ji,jj) = zalf |
|---|
| 507 | zalfq = zalf * zalf |
|---|
| 508 | zalf1 = 1.0 - zalf |
|---|
| 509 | zalg1 (ji,jj) = zalf1 |
|---|
| 510 | zalf1q = zalf1 * zalf1 |
|---|
| 511 | zalg1q(ji,jj) = zalf1q |
|---|
| 512 | ! |
|---|
| 513 | zfm (ji,jj) = zfm (ji,jj) + zalf * psm (ji,jj+1) |
|---|
| 514 | zf0 (ji,jj) = zf0 (ji,jj) + zalf * ( ps0 (ji,jj+1) - zalf1 * (psy(ji,jj+1) - (zalf1 - zalf ) * psyy(ji,jj+1) ) ) |
|---|
| 515 | zfy (ji,jj) = zfy (ji,jj) + zalfq * ( psy (ji,jj+1) - 3.0 * zalf1 * psyy(ji,jj+1) ) |
|---|
| 516 | zfyy (ji,jj) = zfyy(ji,jj) + zalf * psyy(ji,jj+1) * zalfq |
|---|
| 517 | zfx (ji,jj) = zfx (ji,jj) + zalf * ( psx (ji,jj+1) - zalf1 * psxy(ji,jj+1) ) |
|---|
| 518 | zfxy (ji,jj) = zfxy(ji,jj) + zalfq * psxy(ji,jj+1) |
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| 519 | zfxx (ji,jj) = zfxx(ji,jj) + zalf * psxx(ji,jj+1) |
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| 520 | END DO |
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| 521 | END DO |
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| 522 | |
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| 523 | ! Readjust moments remaining in the box. |
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| 524 | DO jj = 2, jpj |
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| 525 | DO ji = 1, jpi |
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| 526 | zbt = zbet(ji,jj-1) |
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| 527 | zbt1 = ( 1.0 - zbet(ji,jj-1) ) |
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| 528 | ! |
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| 529 | psm (ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) - zfm(ji,jj-1) ) |
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| 530 | ps0 (ji,jj) = zbt * ps0(ji,jj) + zbt1 * ( ps0(ji,jj) - zf0(ji,jj-1) ) |
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| 531 | psy (ji,jj) = zalg1q(ji,jj-1) * ( psy(ji,jj) + 3.0 * zalg(ji,jj-1) * psyy(ji,jj) ) |
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| 532 | psyy(ji,jj) = zalg1 (ji,jj-1) * zalg1q(ji,jj-1) * psyy(ji,jj) |
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| 533 | psx (ji,jj) = zbt * psx (ji,jj) + zbt1 * ( psx (ji,jj) - zfx (ji,jj-1) ) |
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| 534 | psxx(ji,jj) = zbt * psxx(ji,jj) + zbt1 * ( psxx(ji,jj) - zfxx(ji,jj-1) ) |
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| 535 | psxy(ji,jj) = zalg1q(ji,jj-1) * psxy(ji,jj) |
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| 536 | END DO |
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| 537 | END DO |
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| 538 | |
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| 539 | ! Put the temporary moments into appropriate neighboring boxes. |
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| 540 | DO jj = 2, jpjm1 ! Flux from j to j+1 IF v GT 0. |
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| 541 | DO ji = 1, jpi |
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| 542 | zbt = zbet(ji,jj-1) |
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| 543 | zbt1 = ( 1.0 - zbet(ji,jj-1) ) |
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| 544 | psm(ji,jj) = zbt * ( psm(ji,jj) + zfm(ji,jj-1) ) + zbt1 * psm(ji,jj) |
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| 545 | zalf = zbt * zfm(ji,jj-1) / psm(ji,jj) |
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| 546 | zalf1 = 1.0 - zalf |
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| 547 | ztemp = zalf * ps0(ji,jj) - zalf1 * zf0(ji,jj-1) |
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| 548 | ! |
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| 549 | ps0(ji,jj) = zbt * ( ps0(ji,jj) + zf0(ji,jj-1) ) + zbt1 * ps0(ji,jj) |
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| 550 | psy(ji,jj) = zbt * ( zalf * zfy(ji,jj-1) + zalf1 * psy(ji,jj) + 3.0 * ztemp ) & |
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| 551 | & + zbt1 * psy(ji,jj) |
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| 552 | psyy(ji,jj) = zbt * ( zalf * zalf * zfyy(ji,jj-1) + zalf1 * zalf1 * psyy(ji,jj) & |
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| 553 | & + 5.0 * ( zalf * zalf1 * ( psy(ji,jj) - zfy(ji,jj-1) ) - ( zalf1 - zalf ) * ztemp ) ) & |
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| 554 | & + zbt1 * psyy(ji,jj) |
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| 555 | psxy(ji,jj) = zbt * ( zalf * zfxy(ji,jj-1) + zalf1 * psxy(ji,jj) & |
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| 556 | & + 3.0 * (- zalf1 * zfx(ji,jj-1) + zalf * psx(ji,jj) ) ) & |
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| 557 | & + zbt1 * psxy(ji,jj) |
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| 558 | psx (ji,jj) = zbt * ( psx (ji,jj) + zfx (ji,jj-1) ) + zbt1 * psx (ji,jj) |
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| 559 | psxx(ji,jj) = zbt * ( psxx(ji,jj) + zfxx(ji,jj-1) ) + zbt1 * psxx(ji,jj) |
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| 560 | END DO |
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| 561 | END DO |
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| 562 | |
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| 563 | DO jj = 2, jpjm1 ! Flux from j+1 to j IF v LT 0. |
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| 564 | DO ji = 1, jpi |
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| 565 | zbt = zbet(ji,jj) |
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| 566 | zbt1 = ( 1.0 - zbet(ji,jj) ) |
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| 567 | psm(ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) + zfm(ji,jj) ) |
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| 568 | zalf = zbt1 * zfm(ji,jj) / psm(ji,jj) |
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| 569 | zalf1 = 1.0 - zalf |
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| 570 | ztemp = - zalf * ps0 (ji,jj) + zalf1 * zf0(ji,jj) |
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| 571 | ps0 (ji,jj) = zbt * ps0 (ji,jj) + zbt1 * ( ps0(ji,jj) + zf0(ji,jj) ) |
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| 572 | psy (ji,jj) = zbt * psy (ji,jj) + zbt1 * ( zalf * zfy(ji,jj) + zalf1 * psy(ji,jj) + 3.0 * ztemp ) |
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| 573 | psyy(ji,jj) = zbt * psyy(ji,jj) + zbt1 * ( zalf * zalf * zfyy(ji,jj) + zalf1 * zalf1 * psyy(ji,jj) & |
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| 574 | & + 5.0 *( zalf *zalf1 *( -psy(ji,jj) + zfy(ji,jj) ) & |
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| 575 | & + ( zalf1 - zalf ) * ztemp ) ) |
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| 576 | psxy(ji,jj) = zbt * psxy(ji,jj) + zbt1 * ( zalf * zfxy(ji,jj) + zalf1 * psxy(ji,jj) & |
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| 577 | & + 3.0 * ( zalf1 * zfx(ji,jj) - zalf * psx(ji,jj) ) ) |
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| 578 | psx (ji,jj) = zbt * psx (ji,jj) + zbt1 * ( psx (ji,jj) + zfx (ji,jj) ) |
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| 579 | psxx(ji,jj) = zbt * psxx(ji,jj) + zbt1 * ( psxx(ji,jj) + zfxx(ji,jj) ) |
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| 580 | END DO |
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| 581 | END DO |
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| 582 | |
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| 583 | !-- Lateral boundary conditions |
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| 584 | CALL lbc_lnk_multi( psm , 'T', 1., ps0 , 'T', 1. & |
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| 585 | & , psx , 'T', -1., psy , 'T', -1. & ! caution gradient ==> the sign changes |
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| 586 | & , psxx, 'T', 1., psyy, 'T', 1. & |
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| 587 | & , psxy, 'T', 1. ) |
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| 588 | |
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| 589 | IF(ln_ctl) THEN |
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| [8504] | 590 | CALL prt_ctl(tab2d_1=psm , clinfo1=' adv_y: psm :', tab2d_2=ps0 , clinfo2=' ps0 : ') |
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| 591 | CALL prt_ctl(tab2d_1=psx , clinfo1=' adv_y: psx :', tab2d_2=psxx, clinfo2=' psxx : ') |
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| 592 | CALL prt_ctl(tab2d_1=psy , clinfo1=' adv_y: psy :', tab2d_2=psyy, clinfo2=' psyy : ') |
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| 593 | CALL prt_ctl(tab2d_1=psxy , clinfo1=' adv_y: psxy :') |
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| [8409] | 594 | ENDIF |
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| 595 | ! |
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| [8504] | 596 | END SUBROUTINE adv_y |
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| [8409] | 597 | |
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| 598 | #else |
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| 599 | !!---------------------------------------------------------------------- |
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| 600 | !! Default option Dummy module NO LIM sea-ice model |
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| 601 | !!---------------------------------------------------------------------- |
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| 602 | #endif |
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| 603 | |
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| 604 | !!====================================================================== |
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| 605 | END MODULE iceadv_prather |
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