[14072] | 1 | MODULE icedyn_adv_pra |
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[8586] | 2 | !!====================================================================== |
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| 3 | !! *** MODULE icedyn_adv_pra *** |
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| 4 | !! sea-ice : advection => Prather scheme |
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| 5 | !!====================================================================== |
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[9656] | 6 | !! History : ! 2008-03 (M. Vancoppenolle) original code |
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[9604] | 7 | !! 4.0 ! 2018 (many people) SI3 [aka Sea Ice cube] |
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[8586] | 8 | !!-------------------------------------------------------------------- |
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[9570] | 9 | #if defined key_si3 |
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[8586] | 10 | !!---------------------------------------------------------------------- |
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[9570] | 11 | !! 'key_si3' SI3 sea-ice model |
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[8586] | 12 | !!---------------------------------------------------------------------- |
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[8817] | 13 | !! ice_dyn_adv_pra : advection of sea ice using Prather scheme |
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| 14 | !! adv_x, adv_y : Prather scheme applied in i- and j-direction, resp. |
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| 15 | !! adv_pra_init : initialisation of the Prather scheme |
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| 16 | !! adv_pra_rst : read/write Prather field in ice restart file, or initialized to zero |
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[8586] | 17 | !!---------------------------------------------------------------------- |
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[11812] | 18 | USE phycst ! physical constant |
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[8586] | 19 | USE dom_oce ! ocean domain |
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| 20 | USE ice ! sea-ice variables |
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| 21 | USE sbc_oce , ONLY : nn_fsbc ! frequency of sea-ice call |
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[11612] | 22 | USE icevar ! sea-ice: operations |
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[8586] | 23 | ! |
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| 24 | USE in_out_manager ! I/O manager |
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| 25 | USE iom ! I/O manager library |
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| 26 | USE lib_mpp ! MPP library |
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| 27 | USE lib_fortran ! fortran utilities (glob_sum + no signed zero) |
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| 28 | USE lbclnk ! lateral boundary conditions (or mpp links) |
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| 29 | |
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| 30 | IMPLICIT NONE |
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| 31 | PRIVATE |
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| 32 | |
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| 33 | PUBLIC ice_dyn_adv_pra ! called by icedyn_adv |
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| 34 | PUBLIC adv_pra_init ! called by icedyn_adv |
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| 35 | |
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| 36 | ! Moments for advection |
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[14072] | 37 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: sxice, syice, sxxice, syyice, sxyice ! ice thickness |
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[8586] | 38 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: sxsn , sysn , sxxsn , syysn , sxysn ! snow thickness |
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[11627] | 39 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: sxa , sya , sxxa , syya , sxya ! ice concentration |
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[8586] | 40 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: sxsal, sysal, sxxsal, syysal, sxysal ! ice salinity |
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| 41 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: sxage, syage, sxxage, syyage, sxyage ! ice age |
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[9271] | 42 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:,:) :: sxc0 , syc0 , sxxc0 , syyc0 , sxyc0 ! snow layers heat content |
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[8817] | 43 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:,:) :: sxe , sye , sxxe , syye , sxye ! ice layers heat content |
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[8586] | 44 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: sxap , syap , sxxap , syyap , sxyap ! melt pond fraction |
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| 45 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: sxvp , syvp , sxxvp , syyvp , sxyvp ! melt pond volume |
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[13472] | 46 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: sxvl , syvl , sxxvl , syyvl , sxyvl ! melt pond lid volume |
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[8817] | 47 | |
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[8586] | 48 | !! * Substitutions |
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[12377] | 49 | # include "do_loop_substitute.h90" |
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[8586] | 50 | !!---------------------------------------------------------------------- |
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[9598] | 51 | !! NEMO/ICE 4.0 , NEMO Consortium (2018) |
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[10069] | 52 | !! $Id$ |
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[10068] | 53 | !! Software governed by the CeCILL license (see ./LICENSE) |
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[8586] | 54 | !!---------------------------------------------------------------------- |
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| 55 | CONTAINS |
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| 56 | |
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[12197] | 57 | SUBROUTINE ice_dyn_adv_pra( kt, pu_ice, pv_ice, ph_i, ph_s, ph_ip, & |
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[13472] | 58 | & pato_i, pv_i, pv_s, psv_i, poa_i, pa_i, pa_ip, pv_ip, pv_il, pe_s, pe_i ) |
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[8586] | 59 | !!---------------------------------------------------------------------- |
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| 60 | !! ** routine ice_dyn_adv_pra ** |
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[14072] | 61 | !! |
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[8586] | 62 | !! ** purpose : Computes and adds the advection trend to sea-ice |
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| 63 | !! |
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| 64 | !! ** method : Uses Prather second order scheme that advects tracers |
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| 65 | !! but also their quadratic forms. The method preserves |
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| 66 | !! tracer structures by conserving second order moments. |
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| 67 | !! |
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| 68 | !! Reference: Prather, 1986, JGR, 91, D6. 6671-6681. |
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| 69 | !!---------------------------------------------------------------------- |
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| 70 | INTEGER , INTENT(in ) :: kt ! time step |
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| 71 | REAL(wp), DIMENSION(:,:) , INTENT(in ) :: pu_ice ! ice i-velocity |
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| 72 | REAL(wp), DIMENSION(:,:) , INTENT(in ) :: pv_ice ! ice j-velocity |
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[12197] | 73 | REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: ph_i ! ice thickness |
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| 74 | REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: ph_s ! snw thickness |
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| 75 | REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: ph_ip ! ice pond thickness |
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[8586] | 76 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pato_i ! open water area |
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| 77 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_i ! ice volume |
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| 78 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_s ! snw volume |
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| 79 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: psv_i ! salt content |
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| 80 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: poa_i ! age content |
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| 81 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pa_i ! ice concentration |
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| 82 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pa_ip ! melt pond fraction |
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| 83 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_ip ! melt pond volume |
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[13472] | 84 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_il ! melt pond lid thickness |
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[8586] | 85 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_s ! snw heat content |
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| 86 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_i ! ice heat content |
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| 87 | ! |
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[13472] | 88 | INTEGER :: ji, jj, jk, jl, jt ! dummy loop indices |
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[11612] | 89 | INTEGER :: icycle ! number of sub-timestep for the advection |
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[13609] | 90 | REAL(wp) :: zdt, z1_dt ! - - |
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[11612] | 91 | REAL(wp), DIMENSION(1) :: zcflprv, zcflnow ! for global communication |
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[11732] | 92 | REAL(wp), DIMENSION(jpi,jpj) :: zati1, zati2 |
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| 93 | REAL(wp), DIMENSION(jpi,jpj) :: zudy, zvdx |
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[13472] | 94 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: zhi_max, zhs_max, zhip_max, zs_i, zsi_max |
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| 95 | REAL(wp), DIMENSION(jpi,jpj,nlay_i,jpl) :: ze_i, zei_max |
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| 96 | REAL(wp), DIMENSION(jpi,jpj,nlay_s,jpl) :: ze_s, zes_max |
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[11612] | 97 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: zarea |
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| 98 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: z0ice, z0snw, z0ai, z0smi, z0oi |
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[13472] | 99 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: z0ap , z0vp, z0vl |
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[11612] | 100 | REAL(wp), DIMENSION(jpi,jpj,nlay_s,jpl) :: z0es |
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| 101 | REAL(wp), DIMENSION(jpi,jpj,nlay_i,jpl) :: z0ei |
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[13609] | 102 | !! diagnostics |
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[14072] | 103 | REAL(wp), DIMENSION(jpi,jpj) :: zdiag_adv_mass, zdiag_adv_salt, zdiag_adv_heat |
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[8586] | 104 | !!---------------------------------------------------------------------- |
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| 105 | ! |
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| 106 | IF( kt == nit000 .AND. lwp ) WRITE(numout,*) '-- ice_dyn_adv_pra: Prather advection scheme' |
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| 107 | ! |
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[13472] | 108 | ! --- Record max of the surrounding 9-pts (for call Hbig) --- ! |
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| 109 | ! thickness and salinity |
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| 110 | WHERE( pv_i(:,:,:) >= epsi10 ) ; zs_i(:,:,:) = psv_i(:,:,:) / pv_i(:,:,:) |
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| 111 | ELSEWHERE ; zs_i(:,:,:) = 0._wp |
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| 112 | END WHERE |
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[13618] | 113 | CALL icemax3D( ph_i , zhi_max ) |
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| 114 | CALL icemax3D( ph_s , zhs_max ) |
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| 115 | CALL icemax3D( ph_ip, zhip_max) |
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| 116 | CALL icemax3D( zs_i , zsi_max ) |
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[14433] | 117 | CALL lbc_lnk( 'icedyn_adv_pra', zhi_max, 'T', 1._wp, zhs_max, 'T', 1._wp, zhip_max, 'T', 1._wp, zsi_max, 'T', 1._wp ) |
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[12197] | 118 | ! |
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[13472] | 119 | ! enthalpies |
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| 120 | DO jk = 1, nlay_i |
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| 121 | WHERE( pv_i(:,:,:) >= epsi10 ) ; ze_i(:,:,jk,:) = pe_i(:,:,jk,:) / pv_i(:,:,:) |
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| 122 | ELSEWHERE ; ze_i(:,:,jk,:) = 0._wp |
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| 123 | END WHERE |
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| 124 | END DO |
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| 125 | DO jk = 1, nlay_s |
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| 126 | WHERE( pv_s(:,:,:) >= epsi10 ) ; ze_s(:,:,jk,:) = pe_s(:,:,jk,:) / pv_s(:,:,:) |
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| 127 | ELSEWHERE ; ze_s(:,:,jk,:) = 0._wp |
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| 128 | END WHERE |
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[14072] | 129 | END DO |
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[13618] | 130 | CALL icemax4D( ze_i , zei_max ) |
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| 131 | CALL icemax4D( ze_s , zes_max ) |
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| 132 | CALL lbc_lnk( 'icedyn_adv_pra', zei_max, 'T', 1._wp ) |
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| 133 | CALL lbc_lnk( 'icedyn_adv_pra', zes_max, 'T', 1._wp ) |
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[13472] | 134 | ! |
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| 135 | ! |
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[11612] | 136 | ! --- If ice drift is too fast, use subtime steps for advection (CFL test for stability) --- ! |
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| 137 | ! Note: the advection split is applied at the next time-step in order to avoid blocking global comm. |
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| 138 | ! this should not affect too much the stability |
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[12489] | 139 | zcflnow(1) = MAXVAL( ABS( pu_ice(:,:) ) * rDt_ice * r1_e1u(:,:) ) |
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| 140 | zcflnow(1) = MAX( zcflnow(1), MAXVAL( ABS( pv_ice(:,:) ) * rDt_ice * r1_e2v(:,:) ) ) |
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[14072] | 141 | |
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[11612] | 142 | ! non-blocking global communication send zcflnow and receive zcflprv |
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| 143 | CALL mpp_delay_max( 'icedyn_adv_pra', 'cflice', zcflnow(:), zcflprv(:), kt == nitend - nn_fsbc + 1 ) |
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| 144 | |
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| 145 | IF( zcflprv(1) > .5 ) THEN ; icycle = 2 |
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| 146 | ELSE ; icycle = 1 |
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[8586] | 147 | ENDIF |
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[12489] | 148 | zdt = rDt_ice / REAL(icycle) |
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[13609] | 149 | z1_dt = 1._wp / zdt |
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[14072] | 150 | |
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[11732] | 151 | ! --- transport --- ! |
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| 152 | zudy(:,:) = pu_ice(:,:) * e2u(:,:) |
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| 153 | zvdx(:,:) = pv_ice(:,:) * e1v(:,:) |
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| 154 | |
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| 155 | DO jt = 1, icycle |
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| 156 | |
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[13609] | 157 | ! diagnostics |
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[14005] | 158 | zdiag_adv_mass(:,:) = SUM( pv_i (:,:,:) , dim=3 ) * rhoi + SUM( pv_s (:,:,:) , dim=3 ) * rhos & |
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| 159 | & + SUM( pv_ip(:,:,:) , dim=3 ) * rhow + SUM( pv_il(:,:,:) , dim=3 ) * rhow |
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[13609] | 160 | zdiag_adv_salt(:,:) = SUM( psv_i(:,:,:) , dim=3 ) * rhoi |
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| 161 | zdiag_adv_heat(:,:) = - SUM(SUM( pe_i(:,:,1:nlay_i,:) , dim=4 ), dim=3 ) & |
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| 162 | & - SUM(SUM( pe_s(:,:,1:nlay_s,:) , dim=4 ), dim=3 ) |
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| 163 | |
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[11732] | 164 | ! record at_i before advection (for open water) |
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| 165 | zati1(:,:) = SUM( pa_i(:,:,:), dim=3 ) |
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[14072] | 166 | |
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| 167 | ! --- transported fields --- ! |
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[11732] | 168 | DO jl = 1, jpl |
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| 169 | zarea(:,:,jl) = e1e2t(:,:) |
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| 170 | z0snw(:,:,jl) = pv_s (:,:,jl) * e1e2t(:,:) ! Snow volume |
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| 171 | z0ice(:,:,jl) = pv_i (:,:,jl) * e1e2t(:,:) ! Ice volume |
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| 172 | z0ai (:,:,jl) = pa_i (:,:,jl) * e1e2t(:,:) ! Ice area |
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| 173 | z0smi(:,:,jl) = psv_i(:,:,jl) * e1e2t(:,:) ! Salt content |
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| 174 | z0oi (:,:,jl) = poa_i(:,:,jl) * e1e2t(:,:) ! Age content |
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| 175 | DO jk = 1, nlay_s |
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| 176 | z0es(:,:,jk,jl) = pe_s(:,:,jk,jl) * e1e2t(:,:) ! Snow heat content |
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| 177 | END DO |
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| 178 | DO jk = 1, nlay_i |
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| 179 | z0ei(:,:,jk,jl) = pe_i(:,:,jk,jl) * e1e2t(:,:) ! Ice heat content |
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| 180 | END DO |
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[14005] | 181 | IF ( ln_pnd_LEV .OR. ln_pnd_TOPO ) THEN |
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[13472] | 182 | z0ap(:,:,jl) = pa_ip(:,:,jl) * e1e2t(:,:) ! Melt pond fraction |
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| 183 | z0vp(:,:,jl) = pv_ip(:,:,jl) * e1e2t(:,:) ! Melt pond volume |
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| 184 | IF ( ln_pnd_lids ) THEN |
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| 185 | z0vl(:,:,jl) = pv_il(:,:,jl) * e1e2t(:,:) ! Melt pond lid volume |
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| 186 | ENDIF |
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[11732] | 187 | ENDIF |
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[9271] | 188 | END DO |
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[11732] | 189 | ! |
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| 190 | ! !--------------------------------------------! |
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| 191 | IF( MOD( (kt - 1) / nn_fsbc , 2 ) == MOD( (jt - 1) , 2 ) ) THEN !== odd ice time step: adv_x then adv_y ==! |
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| 192 | ! !--------------------------------------------! |
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| 193 | CALL adv_x( zdt , zudy , 1._wp , zarea , z0ice , sxice , sxxice , syice , syyice , sxyice ) !--- ice volume |
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| 194 | CALL adv_y( zdt , zvdx , 0._wp , zarea , z0ice , sxice , sxxice , syice , syyice , sxyice ) |
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| 195 | CALL adv_x( zdt , zudy , 1._wp , zarea , z0snw , sxsn , sxxsn , sysn , syysn , sxysn ) !--- snow volume |
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| 196 | CALL adv_y( zdt , zvdx , 0._wp , zarea , z0snw , sxsn , sxxsn , sysn , syysn , sxysn ) |
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| 197 | CALL adv_x( zdt , zudy , 1._wp , zarea , z0smi , sxsal , sxxsal , sysal , syysal , sxysal ) !--- ice salinity |
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| 198 | CALL adv_y( zdt , zvdx , 0._wp , zarea , z0smi , sxsal , sxxsal , sysal , syysal , sxysal ) |
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| 199 | CALL adv_x( zdt , zudy , 1._wp , zarea , z0ai , sxa , sxxa , sya , syya , sxya ) !--- ice concentration |
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| 200 | CALL adv_y( zdt , zvdx , 0._wp , zarea , z0ai , sxa , sxxa , sya , syya , sxya ) |
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| 201 | CALL adv_x( zdt , zudy , 1._wp , zarea , z0oi , sxage , sxxage , syage , syyage , sxyage ) !--- ice age |
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| 202 | CALL adv_y( zdt , zvdx , 0._wp , zarea , z0oi , sxage , sxxage , syage , syyage , sxyage ) |
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[11612] | 203 | ! |
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[11732] | 204 | DO jk = 1, nlay_s !--- snow heat content |
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| 205 | CALL adv_x( zdt, zudy, 1._wp, zarea, z0es (:,:,jk,:), sxc0(:,:,jk,:), & |
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| 206 | & sxxc0(:,:,jk,:), syc0(:,:,jk,:), syyc0(:,:,jk,:), sxyc0(:,:,jk,:) ) |
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| 207 | CALL adv_y( zdt, zvdx, 0._wp, zarea, z0es (:,:,jk,:), sxc0(:,:,jk,:), & |
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| 208 | & sxxc0(:,:,jk,:), syc0(:,:,jk,:), syyc0(:,:,jk,:), sxyc0(:,:,jk,:) ) |
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[8586] | 209 | END DO |
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[11732] | 210 | DO jk = 1, nlay_i !--- ice heat content |
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[14072] | 211 | CALL adv_x( zdt, zudy, 1._wp, zarea, z0ei(:,:,jk,:), sxe(:,:,jk,:), & |
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[11732] | 212 | & sxxe(:,:,jk,:), sye(:,:,jk,:), syye(:,:,jk,:), sxye(:,:,jk,:) ) |
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[14072] | 213 | CALL adv_y( zdt, zvdx, 0._wp, zarea, z0ei(:,:,jk,:), sxe(:,:,jk,:), & |
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[11732] | 214 | & sxxe(:,:,jk,:), sye(:,:,jk,:), syye(:,:,jk,:), sxye(:,:,jk,:) ) |
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[11612] | 215 | END DO |
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| 216 | ! |
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[14005] | 217 | IF ( ln_pnd_LEV .OR. ln_pnd_TOPO ) THEN |
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[11732] | 218 | CALL adv_x( zdt , zudy , 1._wp , zarea , z0ap , sxap , sxxap , syap , syyap , sxyap ) !--- melt pond fraction |
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[14072] | 219 | CALL adv_y( zdt , zvdx , 0._wp , zarea , z0ap , sxap , sxxap , syap , syyap , sxyap ) |
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[11732] | 220 | CALL adv_x( zdt , zudy , 1._wp , zarea , z0vp , sxvp , sxxvp , syvp , syyvp , sxyvp ) !--- melt pond volume |
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[14072] | 221 | CALL adv_y( zdt , zvdx , 0._wp , zarea , z0vp , sxvp , sxxvp , syvp , syyvp , sxyvp ) |
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[13472] | 222 | IF ( ln_pnd_lids ) THEN |
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| 223 | CALL adv_x( zdt , zudy , 1._wp , zarea , z0vl , sxvl , sxxvl , syvl , syyvl , sxyvl ) !--- melt pond lid volume |
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[14072] | 224 | CALL adv_y( zdt , zvdx , 0._wp , zarea , z0vl , sxvl , sxxvl , syvl , syyvl , sxyvl ) |
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[13472] | 225 | ENDIF |
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[11612] | 226 | ENDIF |
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[11732] | 227 | ! !--------------------------------------------! |
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| 228 | ELSE !== even ice time step: adv_y then adv_x ==! |
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| 229 | ! !--------------------------------------------! |
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| 230 | CALL adv_y( zdt , zvdx , 1._wp , zarea , z0ice , sxice , sxxice , syice , syyice , sxyice ) !--- ice volume |
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| 231 | CALL adv_x( zdt , zudy , 0._wp , zarea , z0ice , sxice , sxxice , syice , syyice , sxyice ) |
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| 232 | CALL adv_y( zdt , zvdx , 1._wp , zarea , z0snw , sxsn , sxxsn , sysn , syysn , sxysn ) !--- snow volume |
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| 233 | CALL adv_x( zdt , zudy , 0._wp , zarea , z0snw , sxsn , sxxsn , sysn , syysn , sxysn ) |
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| 234 | CALL adv_y( zdt , zvdx , 1._wp , zarea , z0smi , sxsal , sxxsal , sysal , syysal , sxysal ) !--- ice salinity |
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| 235 | CALL adv_x( zdt , zudy , 0._wp , zarea , z0smi , sxsal , sxxsal , sysal , syysal , sxysal ) |
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| 236 | CALL adv_y( zdt , zvdx , 1._wp , zarea , z0ai , sxa , sxxa , sya , syya , sxya ) !--- ice concentration |
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| 237 | CALL adv_x( zdt , zudy , 0._wp , zarea , z0ai , sxa , sxxa , sya , syya , sxya ) |
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| 238 | CALL adv_y( zdt , zvdx , 1._wp , zarea , z0oi , sxage , sxxage , syage , syyage , sxyage ) !--- ice age |
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| 239 | CALL adv_x( zdt , zudy , 0._wp , zarea , z0oi , sxage , sxxage , syage , syyage , sxyage ) |
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| 240 | DO jk = 1, nlay_s !--- snow heat content |
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| 241 | CALL adv_y( zdt, zvdx, 1._wp, zarea, z0es (:,:,jk,:), sxc0(:,:,jk,:), & |
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| 242 | & sxxc0(:,:,jk,:), syc0(:,:,jk,:), syyc0(:,:,jk,:), sxyc0(:,:,jk,:) ) |
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| 243 | CALL adv_x( zdt, zudy, 0._wp, zarea, z0es (:,:,jk,:), sxc0(:,:,jk,:), & |
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| 244 | & sxxc0(:,:,jk,:), syc0(:,:,jk,:), syyc0(:,:,jk,:), sxyc0(:,:,jk,:) ) |
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[8586] | 245 | END DO |
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[11732] | 246 | DO jk = 1, nlay_i !--- ice heat content |
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[14072] | 247 | CALL adv_y( zdt, zvdx, 1._wp, zarea, z0ei(:,:,jk,:), sxe(:,:,jk,:), & |
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[11732] | 248 | & sxxe(:,:,jk,:), sye(:,:,jk,:), syye(:,:,jk,:), sxye(:,:,jk,:) ) |
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[14072] | 249 | CALL adv_x( zdt, zudy, 0._wp, zarea, z0ei(:,:,jk,:), sxe(:,:,jk,:), & |
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[11732] | 250 | & sxxe(:,:,jk,:), sye(:,:,jk,:), syye(:,:,jk,:), sxye(:,:,jk,:) ) |
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[11612] | 251 | END DO |
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[14005] | 252 | IF ( ln_pnd_LEV .OR. ln_pnd_TOPO ) THEN |
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[11732] | 253 | CALL adv_y( zdt , zvdx , 1._wp , zarea , z0ap , sxap , sxxap , syap , syyap , sxyap ) !--- melt pond fraction |
---|
| 254 | CALL adv_x( zdt , zudy , 0._wp , zarea , z0ap , sxap , sxxap , syap , syyap , sxyap ) |
---|
| 255 | CALL adv_y( zdt , zvdx , 1._wp , zarea , z0vp , sxvp , sxxvp , syvp , syyvp , sxyvp ) !--- melt pond volume |
---|
| 256 | CALL adv_x( zdt , zudy , 0._wp , zarea , z0vp , sxvp , sxxvp , syvp , syyvp , sxyvp ) |
---|
[13472] | 257 | IF ( ln_pnd_lids ) THEN |
---|
| 258 | CALL adv_y( zdt , zvdx , 1._wp , zarea , z0vl , sxvl , sxxvl , syvl , syyvl , sxyvl ) !--- melt pond lid volume |
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[14072] | 259 | CALL adv_x( zdt , zudy , 0._wp , zarea , z0vl , sxvl , sxxvl , syvl , syyvl , sxyvl ) |
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[13472] | 260 | ENDIF |
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[13613] | 261 | ENDIF |
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[11732] | 262 | ! |
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| 263 | ENDIF |
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[14072] | 264 | |
---|
[13613] | 265 | ! --- Lateral boundary conditions --- ! |
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| 266 | ! caution: for gradients (sx and sy) the sign changes |
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[14433] | 267 | CALL lbc_lnk( 'icedyn_adv_pra', z0ice , 'T', 1._wp, sxice , 'T', -1._wp, syice , 'T', -1._wp & ! ice volume |
---|
| 268 | & , sxxice, 'T', 1._wp, syyice, 'T', 1._wp, sxyice, 'T', 1._wp & |
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| 269 | & , z0snw , 'T', 1._wp, sxsn , 'T', -1._wp, sysn , 'T', -1._wp & ! snw volume |
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[15049] | 270 | & , sxxsn , 'T', 1._wp, syysn , 'T', 1._wp, sxysn , 'T', 1._wp & |
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| 271 | & , z0smi , 'T', 1._wp, sxsal , 'T', -1._wp, sysal , 'T', -1._wp & ! ice salinity |
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[14433] | 272 | & , sxxsal, 'T', 1._wp, syysal, 'T', 1._wp, sxysal, 'T', 1._wp & |
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| 273 | & , z0ai , 'T', 1._wp, sxa , 'T', -1._wp, sya , 'T', -1._wp & ! ice concentration |
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[15049] | 274 | & , sxxa , 'T', 1._wp, syya , 'T', 1._wp, sxya , 'T', 1._wp & |
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| 275 | & , z0oi , 'T', 1._wp, sxage , 'T', -1._wp, syage , 'T', -1._wp & ! ice age |
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[14433] | 276 | & , sxxage, 'T', 1._wp, syyage, 'T', 1._wp, sxyage, 'T', 1._wp ) |
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| 277 | CALL lbc_lnk( 'icedyn_adv_pra', z0es , 'T', 1._wp, sxc0 , 'T', -1._wp, syc0 , 'T', -1._wp & ! snw enthalpy |
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| 278 | & , sxxc0 , 'T', 1._wp, syyc0 , 'T', 1._wp, sxyc0 , 'T', 1._wp ) |
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| 279 | CALL lbc_lnk( 'icedyn_adv_pra', z0ei , 'T', 1._wp, sxe , 'T', -1._wp, sye , 'T', -1._wp & ! ice enthalpy |
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| 280 | & , sxxe , 'T', 1._wp, syye , 'T', 1._wp, sxye , 'T', 1._wp ) |
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[14005] | 281 | IF ( ln_pnd_LEV .OR. ln_pnd_TOPO ) THEN |
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[15049] | 282 | IF( ln_pnd_lids ) THEN |
---|
| 283 | CALL lbc_lnk( 'icedyn_adv_pra', z0ap , 'T', 1._wp, sxap , 'T', -1._wp, syap , 'T', -1._wp & ! melt pond fraction |
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| 284 | & , sxxap, 'T', 1._wp, syyap, 'T', 1._wp, sxyap, 'T', 1._wp & |
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| 285 | & , z0vp , 'T', 1._wp, sxvp , 'T', -1._wp, syvp , 'T', -1._wp & ! melt pond volume |
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| 286 | & , sxxvp, 'T', 1._wp, syyvp, 'T', 1._wp, sxyvp, 'T', 1._wp & |
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| 287 | & , z0vl , 'T', 1._wp, sxvl , 'T', -1._wp, syvl , 'T', -1._wp & ! melt pond lid volume |
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| 288 | & , sxxvl, 'T', 1._wp, syyvl, 'T', 1._wp, sxyvl, 'T', 1._wp ) |
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| 289 | ELSE |
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| 290 | CALL lbc_lnk( 'icedyn_adv_pra', z0ap , 'T', 1._wp, sxap , 'T', -1._wp, syap , 'T', -1._wp & ! melt pond fraction |
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| 291 | & , sxxap, 'T', 1._wp, syyap, 'T', 1._wp, sxyap, 'T', 1._wp & |
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| 292 | & , z0vp , 'T', 1._wp, sxvp , 'T', -1._wp, syvp , 'T', -1._wp & ! melt pond volume |
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| 293 | & , sxxvp, 'T', 1._wp, syyvp, 'T', 1._wp, sxyvp, 'T', 1._wp ) |
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[13613] | 294 | ENDIF |
---|
| 295 | ENDIF |
---|
[8586] | 296 | |
---|
[11732] | 297 | ! --- Recover the properties from their contents --- ! |
---|
| 298 | DO jl = 1, jpl |
---|
| 299 | pv_i (:,:,jl) = z0ice(:,:,jl) * r1_e1e2t(:,:) * tmask(:,:,1) |
---|
| 300 | pv_s (:,:,jl) = z0snw(:,:,jl) * r1_e1e2t(:,:) * tmask(:,:,1) |
---|
| 301 | psv_i(:,:,jl) = z0smi(:,:,jl) * r1_e1e2t(:,:) * tmask(:,:,1) |
---|
| 302 | poa_i(:,:,jl) = z0oi (:,:,jl) * r1_e1e2t(:,:) * tmask(:,:,1) |
---|
| 303 | pa_i (:,:,jl) = z0ai (:,:,jl) * r1_e1e2t(:,:) * tmask(:,:,1) |
---|
| 304 | DO jk = 1, nlay_s |
---|
| 305 | pe_s(:,:,jk,jl) = z0es(:,:,jk,jl) * r1_e1e2t(:,:) * tmask(:,:,1) |
---|
| 306 | END DO |
---|
| 307 | DO jk = 1, nlay_i |
---|
| 308 | pe_i(:,:,jk,jl) = z0ei(:,:,jk,jl) * r1_e1e2t(:,:) * tmask(:,:,1) |
---|
| 309 | END DO |
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[14005] | 310 | IF ( ln_pnd_LEV .OR. ln_pnd_TOPO ) THEN |
---|
[11732] | 311 | pa_ip(:,:,jl) = z0ap(:,:,jl) * r1_e1e2t(:,:) * tmask(:,:,1) |
---|
| 312 | pv_ip(:,:,jl) = z0vp(:,:,jl) * r1_e1e2t(:,:) * tmask(:,:,1) |
---|
[13472] | 313 | IF ( ln_pnd_lids ) THEN |
---|
| 314 | pv_il(:,:,jl) = z0vl(:,:,jl) * r1_e1e2t(:,:) * tmask(:,:,1) |
---|
| 315 | ENDIF |
---|
[11732] | 316 | ENDIF |
---|
[9271] | 317 | END DO |
---|
[11732] | 318 | ! |
---|
| 319 | ! derive open water from ice concentration |
---|
| 320 | zati2(:,:) = SUM( pa_i(:,:,:), dim=3 ) |
---|
[13295] | 321 | DO_2D( 0, 0, 0, 0 ) |
---|
[12377] | 322 | pato_i(ji,jj) = pato_i(ji,jj) - ( zati2(ji,jj) - zati1(ji,jj) ) & !--- open water |
---|
| 323 | & - ( zudy(ji,jj) - zudy(ji-1,jj) + zvdx(ji,jj) - zvdx(ji,jj-1) ) * r1_e1e2t(ji,jj) * zdt |
---|
| 324 | END_2D |
---|
[13226] | 325 | CALL lbc_lnk( 'icedyn_adv_pra', pato_i, 'T', 1.0_wp ) |
---|
[11732] | 326 | ! |
---|
[13609] | 327 | ! --- diagnostics --- ! |
---|
[14005] | 328 | diag_adv_mass(:,:) = diag_adv_mass(:,:) + ( SUM( pv_i (:,:,:) , dim=3 ) * rhoi + SUM( pv_s (:,:,:) , dim=3 ) * rhos & |
---|
| 329 | & + SUM( pv_ip(:,:,:) , dim=3 ) * rhow + SUM( pv_il(:,:,:) , dim=3 ) * rhow & |
---|
[13609] | 330 | & - zdiag_adv_mass(:,:) ) * z1_dt |
---|
| 331 | diag_adv_salt(:,:) = diag_adv_salt(:,:) + ( SUM( psv_i(:,:,:) , dim=3 ) * rhoi & |
---|
| 332 | & - zdiag_adv_salt(:,:) ) * z1_dt |
---|
| 333 | diag_adv_heat(:,:) = diag_adv_heat(:,:) + ( - SUM(SUM( pe_i(:,:,1:nlay_i,:) , dim=4 ), dim=3 ) & |
---|
| 334 | & - SUM(SUM( pe_s(:,:,1:nlay_s,:) , dim=4 ), dim=3 ) & |
---|
| 335 | & - zdiag_adv_heat(:,:) ) * z1_dt |
---|
| 336 | ! |
---|
[11732] | 337 | ! --- Ensure non-negative fields --- ! |
---|
| 338 | ! Remove negative values (conservation is ensured) |
---|
| 339 | ! (because advected fields are not perfectly bounded and tiny negative values can occur, e.g. -1.e-20) |
---|
[13472] | 340 | CALL ice_var_zapneg( zdt, pato_i, pv_i, pv_s, psv_i, poa_i, pa_i, pa_ip, pv_ip, pv_il, pe_s, pe_i ) |
---|
[11732] | 341 | ! |
---|
[12197] | 342 | ! --- Make sure ice thickness is not too big --- ! |
---|
| 343 | ! (because ice thickness can be too large where ice concentration is very small) |
---|
[13472] | 344 | CALL Hbig( zdt, zhi_max, zhs_max, zhip_max, zsi_max, zes_max, zei_max, & |
---|
| 345 | & pv_i, pv_s, pa_i, pa_ip, pv_ip, psv_i, pe_s, pe_i ) |
---|
[12197] | 346 | ! |
---|
[11732] | 347 | ! --- Ensure snow load is not too big --- ! |
---|
| 348 | CALL Hsnow( zdt, pv_i, pv_s, pa_i, pa_ip, pe_s ) |
---|
| 349 | ! |
---|
[8586] | 350 | END DO |
---|
| 351 | ! |
---|
| 352 | IF( lrst_ice ) CALL adv_pra_rst( 'WRITE', kt ) !* write Prather fields in the restart file |
---|
| 353 | ! |
---|
| 354 | END SUBROUTINE ice_dyn_adv_pra |
---|
[14072] | 355 | |
---|
| 356 | |
---|
[11612] | 357 | SUBROUTINE adv_x( pdt, put , pcrh, psm , ps0 , & |
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[8586] | 358 | & psx, psxx, psy , psyy, psxy ) |
---|
| 359 | !!---------------------------------------------------------------------- |
---|
| 360 | !! ** routine adv_x ** |
---|
[14072] | 361 | !! |
---|
[8586] | 362 | !! ** purpose : Computes and adds the advection trend to sea-ice |
---|
| 363 | !! variable on x axis |
---|
| 364 | !!---------------------------------------------------------------------- |
---|
[11612] | 365 | REAL(wp) , INTENT(in ) :: pdt ! the time step |
---|
| 366 | REAL(wp) , INTENT(in ) :: pcrh ! call adv_x then adv_y (=1) or the opposite (=0) |
---|
| 367 | REAL(wp), DIMENSION(:,:) , INTENT(in ) :: put ! i-direction ice velocity at U-point [m/s] |
---|
| 368 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: psm ! area |
---|
| 369 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: ps0 ! field to be advected |
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[14072] | 370 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: psx , psy ! 1st moments |
---|
[11612] | 371 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: psxx, psyy, psxy ! 2nd moments |
---|
[14072] | 372 | !! |
---|
[11612] | 373 | INTEGER :: ji, jj, jl, jcat ! dummy loop indices |
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[13613] | 374 | INTEGER :: jj0 ! dummy loop indices |
---|
[11612] | 375 | REAL(wp) :: zs1max, zslpmax, ztemp ! local scalars |
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[8586] | 376 | REAL(wp) :: zs1new, zalf , zalfq , zbt ! - - |
---|
| 377 | REAL(wp) :: zs2new, zalf1, zalf1q, zbt1 ! - - |
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[13618] | 378 | REAL(wp) :: zpsm, zps0 |
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| 379 | REAL(wp) :: zpsx, zpsy, zpsxx, zpsyy, zpsxy |
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[8586] | 380 | REAL(wp), DIMENSION(jpi,jpj) :: zf0 , zfx , zfy , zbet ! 2D workspace |
---|
| 381 | REAL(wp), DIMENSION(jpi,jpj) :: zfm , zfxx , zfyy , zfxy ! - - |
---|
| 382 | REAL(wp), DIMENSION(jpi,jpj) :: zalg, zalg1, zalg1q ! - - |
---|
| 383 | !----------------------------------------------------------------------- |
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[13613] | 384 | ! in order to avoid lbc_lnk (communications): |
---|
| 385 | ! jj loop must be 1:jpj if adv_x is called first |
---|
| 386 | ! and 2:jpj-1 if adv_x is called second |
---|
| 387 | jj0 = NINT(pcrh) |
---|
[11612] | 388 | ! |
---|
| 389 | jcat = SIZE( ps0 , 3 ) ! size of input arrays |
---|
| 390 | ! |
---|
| 391 | DO jl = 1, jcat ! loop on categories |
---|
| 392 | ! |
---|
[14072] | 393 | ! Limitation of moments. |
---|
[13613] | 394 | DO jj = Njs0 - jj0, Nje0 + jj0 |
---|
[14072] | 395 | |
---|
[13613] | 396 | DO ji = Nis0 - 1, Nie0 + 1 |
---|
[8586] | 397 | |
---|
[13618] | 398 | zpsm = psm (ji,jj,jl) ! optimization |
---|
| 399 | zps0 = ps0 (ji,jj,jl) |
---|
| 400 | zpsx = psx (ji,jj,jl) |
---|
| 401 | zpsxx = psxx(ji,jj,jl) |
---|
| 402 | zpsy = psy (ji,jj,jl) |
---|
| 403 | zpsyy = psyy(ji,jj,jl) |
---|
| 404 | zpsxy = psxy(ji,jj,jl) |
---|
| 405 | |
---|
[14072] | 406 | ! Initialize volumes of boxes (=area if adv_x first called, =psm otherwise) |
---|
[13618] | 407 | zpsm = MAX( pcrh * e1e2t(ji,jj) + ( 1.0 - pcrh ) * zpsm , epsi20 ) |
---|
[13613] | 408 | ! |
---|
[13618] | 409 | zslpmax = MAX( 0._wp, zps0 ) |
---|
[13613] | 410 | zs1max = 1.5 * zslpmax |
---|
[13618] | 411 | zs1new = MIN( zs1max, MAX( -zs1max, zpsx ) ) |
---|
| 412 | zs2new = MIN( 2.0 * zslpmax - 0.3334 * ABS( zs1new ), MAX( ABS( zs1new ) - zslpmax, zpsxx ) ) |
---|
[13613] | 413 | rswitch = ( 1.0 - MAX( 0._wp, SIGN( 1._wp, -zslpmax) ) ) * tmask(ji,jj,1) ! Case of empty boxes & Apply mask |
---|
[13618] | 414 | |
---|
[14072] | 415 | zps0 = zslpmax |
---|
[13618] | 416 | zpsx = zs1new * rswitch |
---|
| 417 | zpsxx = zs2new * rswitch |
---|
| 418 | zpsy = zpsy * rswitch |
---|
| 419 | zpsyy = zpsyy * rswitch |
---|
| 420 | zpsxy = MIN( zslpmax, MAX( -zslpmax, zpsxy ) ) * rswitch |
---|
| 421 | |
---|
[14072] | 422 | ! Calculate fluxes and moments between boxes i<-->i+1 |
---|
| 423 | ! ! Flux from i to i+1 WHEN u GT 0 |
---|
[13613] | 424 | zbet(ji,jj) = MAX( 0._wp, SIGN( 1._wp, put(ji,jj) ) ) |
---|
[13618] | 425 | zalf = MAX( 0._wp, put(ji,jj) ) * pdt / zpsm |
---|
[13613] | 426 | zalfq = zalf * zalf |
---|
| 427 | zalf1 = 1.0 - zalf |
---|
| 428 | zalf1q = zalf1 * zalf1 |
---|
| 429 | ! |
---|
[14072] | 430 | zfm (ji,jj) = zalf * zpsm |
---|
[13618] | 431 | zf0 (ji,jj) = zalf * ( zps0 + zalf1 * ( zpsx + (zalf1 - zalf) * zpsxx ) ) |
---|
| 432 | zfx (ji,jj) = zalfq * ( zpsx + 3.0 * zalf1 * zpsxx ) |
---|
| 433 | zfxx(ji,jj) = zalf * zpsxx * zalfq |
---|
| 434 | zfy (ji,jj) = zalf * ( zpsy + zalf1 * zpsxy ) |
---|
| 435 | zfxy(ji,jj) = zalfq * zpsxy |
---|
| 436 | zfyy(ji,jj) = zalf * zpsyy |
---|
| 437 | |
---|
[13613] | 438 | ! ! Readjust moments remaining in the box. |
---|
[13618] | 439 | zpsm = zpsm - zfm(ji,jj) |
---|
| 440 | zps0 = zps0 - zf0(ji,jj) |
---|
| 441 | zpsx = zalf1q * ( zpsx - 3.0 * zalf * zpsxx ) |
---|
| 442 | zpsxx = zalf1 * zalf1q * zpsxx |
---|
| 443 | zpsy = zpsy - zfy (ji,jj) |
---|
| 444 | zpsyy = zpsyy - zfyy(ji,jj) |
---|
| 445 | zpsxy = zalf1q * zpsxy |
---|
| 446 | ! |
---|
| 447 | psm (ji,jj,jl) = zpsm ! optimization |
---|
[14072] | 448 | ps0 (ji,jj,jl) = zps0 |
---|
| 449 | psx (ji,jj,jl) = zpsx |
---|
[13618] | 450 | psxx(ji,jj,jl) = zpsxx |
---|
[14072] | 451 | psy (ji,jj,jl) = zpsy |
---|
[13618] | 452 | psyy(ji,jj,jl) = zpsyy |
---|
| 453 | psxy(ji,jj,jl) = zpsxy |
---|
| 454 | ! |
---|
[13613] | 455 | END DO |
---|
[14072] | 456 | |
---|
[13613] | 457 | DO ji = Nis0 - 1, Nie0 |
---|
| 458 | ! ! Flux from i+1 to i when u LT 0. |
---|
[14072] | 459 | zalf = MAX( 0._wp, -put(ji,jj) ) * pdt / psm(ji+1,jj,jl) |
---|
[13613] | 460 | zalg (ji,jj) = zalf |
---|
| 461 | zalfq = zalf * zalf |
---|
| 462 | zalf1 = 1.0 - zalf |
---|
| 463 | zalg1 (ji,jj) = zalf1 |
---|
| 464 | zalf1q = zalf1 * zalf1 |
---|
| 465 | zalg1q(ji,jj) = zalf1q |
---|
| 466 | ! |
---|
| 467 | zfm (ji,jj) = zfm (ji,jj) + zalf * psm (ji+1,jj,jl) |
---|
| 468 | zf0 (ji,jj) = zf0 (ji,jj) + zalf * ( ps0 (ji+1,jj,jl) & |
---|
| 469 | & - zalf1 * ( psx(ji+1,jj,jl) - (zalf1 - zalf ) * psxx(ji+1,jj,jl) ) ) |
---|
| 470 | zfx (ji,jj) = zfx (ji,jj) + zalfq * ( psx (ji+1,jj,jl) - 3.0 * zalf1 * psxx(ji+1,jj,jl) ) |
---|
| 471 | zfxx (ji,jj) = zfxx(ji,jj) + zalf * psxx(ji+1,jj,jl) * zalfq |
---|
| 472 | zfy (ji,jj) = zfy (ji,jj) + zalf * ( psy (ji+1,jj,jl) - zalf1 * psxy(ji+1,jj,jl) ) |
---|
| 473 | zfxy (ji,jj) = zfxy(ji,jj) + zalfq * psxy(ji+1,jj,jl) |
---|
| 474 | zfyy (ji,jj) = zfyy(ji,jj) + zalf * psyy(ji+1,jj,jl) |
---|
| 475 | END DO |
---|
[8586] | 476 | |
---|
[13613] | 477 | DO ji = Nis0, Nie0 |
---|
[13618] | 478 | ! |
---|
| 479 | zpsm = psm (ji,jj,jl) ! optimization |
---|
| 480 | zps0 = ps0 (ji,jj,jl) |
---|
| 481 | zpsx = psx (ji,jj,jl) |
---|
| 482 | zpsxx = psxx(ji,jj,jl) |
---|
| 483 | zpsy = psy (ji,jj,jl) |
---|
| 484 | zpsyy = psyy(ji,jj,jl) |
---|
| 485 | zpsxy = psxy(ji,jj,jl) |
---|
[13613] | 486 | ! ! Readjust moments remaining in the box. |
---|
| 487 | zbt = zbet(ji-1,jj) |
---|
| 488 | zbt1 = 1.0 - zbet(ji-1,jj) |
---|
| 489 | ! |
---|
[13618] | 490 | zpsm = zbt * zpsm + zbt1 * ( zpsm - zfm(ji-1,jj) ) |
---|
| 491 | zps0 = zbt * zps0 + zbt1 * ( zps0 - zf0(ji-1,jj) ) |
---|
| 492 | zpsx = zalg1q(ji-1,jj) * ( zpsx + 3.0 * zalg(ji-1,jj) * zpsxx ) |
---|
| 493 | zpsxx = zalg1 (ji-1,jj) * zalg1q(ji-1,jj) * zpsxx |
---|
| 494 | zpsy = zbt * zpsy + zbt1 * ( zpsy - zfy (ji-1,jj) ) |
---|
| 495 | zpsyy = zbt * zpsyy + zbt1 * ( zpsyy - zfyy(ji-1,jj) ) |
---|
| 496 | zpsxy = zalg1q(ji-1,jj) * zpsxy |
---|
| 497 | |
---|
[14072] | 498 | ! Put the temporary moments into appropriate neighboring boxes. |
---|
[13613] | 499 | ! ! Flux from i to i+1 IF u GT 0. |
---|
[13618] | 500 | zbt = zbet(ji-1,jj) |
---|
| 501 | zbt1 = 1.0 - zbet(ji-1,jj) |
---|
| 502 | zpsm = zbt * ( zpsm + zfm(ji-1,jj) ) + zbt1 * zpsm |
---|
| 503 | zalf = zbt * zfm(ji-1,jj) / zpsm |
---|
| 504 | zalf1 = 1.0 - zalf |
---|
| 505 | ztemp = zalf * zps0 - zalf1 * zf0(ji-1,jj) |
---|
[13613] | 506 | ! |
---|
[13618] | 507 | zps0 = zbt * ( zps0 + zf0(ji-1,jj) ) + zbt1 * zps0 |
---|
| 508 | zpsx = zbt * ( zalf * zfx(ji-1,jj) + zalf1 * zpsx + 3.0 * ztemp ) + zbt1 * zpsx |
---|
| 509 | zpsxx = zbt * ( zalf * zalf * zfxx(ji-1,jj) + zalf1 * zalf1 * zpsxx & |
---|
| 510 | & + 5.0 * ( zalf * zalf1 * ( zpsx - zfx(ji-1,jj) ) - ( zalf1 - zalf ) * ztemp ) ) & |
---|
| 511 | & + zbt1 * zpsxx |
---|
| 512 | zpsxy = zbt * ( zalf * zfxy(ji-1,jj) + zalf1 * zpsxy & |
---|
| 513 | & + 3.0 * (- zalf1*zfy(ji-1,jj) + zalf * zpsy ) ) & |
---|
| 514 | & + zbt1 * zpsxy |
---|
[14072] | 515 | zpsy = zbt * ( zpsy + zfy (ji-1,jj) ) + zbt1 * zpsy |
---|
[13618] | 516 | zpsyy = zbt * ( zpsyy + zfyy(ji-1,jj) ) + zbt1 * zpsyy |
---|
| 517 | |
---|
[13613] | 518 | ! ! Flux from i+1 to i IF u LT 0. |
---|
[13618] | 519 | zbt = zbet(ji,jj) |
---|
| 520 | zbt1 = 1.0 - zbet(ji,jj) |
---|
| 521 | zpsm = zbt * zpsm + zbt1 * ( zpsm + zfm(ji,jj) ) |
---|
| 522 | zalf = zbt1 * zfm(ji,jj) / zpsm |
---|
| 523 | zalf1 = 1.0 - zalf |
---|
| 524 | ztemp = - zalf * zps0 + zalf1 * zf0(ji,jj) |
---|
[13613] | 525 | ! |
---|
[13618] | 526 | zps0 = zbt * zps0 + zbt1 * ( zps0 + zf0(ji,jj) ) |
---|
| 527 | zpsx = zbt * zpsx + zbt1 * ( zalf * zfx(ji,jj) + zalf1 * zpsx + 3.0 * ztemp ) |
---|
| 528 | zpsxx = zbt * zpsxx + zbt1 * ( zalf * zalf * zfxx(ji,jj) + zalf1 * zalf1 * zpsxx & |
---|
| 529 | & + 5.0 * ( zalf * zalf1 * ( - zpsx + zfx(ji,jj) ) & |
---|
| 530 | & + ( zalf1 - zalf ) * ztemp ) ) |
---|
| 531 | zpsxy = zbt * zpsxy + zbt1 * ( zalf * zfxy(ji,jj) + zalf1 * zpsxy & |
---|
| 532 | & + 3.0 * ( zalf1 * zfy(ji,jj) - zalf * zpsy ) ) |
---|
| 533 | zpsy = zbt * zpsy + zbt1 * ( zpsy + zfy (ji,jj) ) |
---|
| 534 | zpsyy = zbt * zpsyy + zbt1 * ( zpsyy + zfyy(ji,jj) ) |
---|
| 535 | ! |
---|
| 536 | psm (ji,jj,jl) = zpsm ! optimization |
---|
[14072] | 537 | ps0 (ji,jj,jl) = zps0 |
---|
| 538 | psx (ji,jj,jl) = zpsx |
---|
[13618] | 539 | psxx(ji,jj,jl) = zpsxx |
---|
[14072] | 540 | psy (ji,jj,jl) = zpsy |
---|
[13618] | 541 | psyy(ji,jj,jl) = zpsyy |
---|
| 542 | psxy(ji,jj,jl) = zpsxy |
---|
[13613] | 543 | END DO |
---|
[12377] | 544 | ! |
---|
[13613] | 545 | END DO |
---|
| 546 | ! |
---|
[8586] | 547 | END DO |
---|
[14072] | 548 | ! |
---|
[8586] | 549 | END SUBROUTINE adv_x |
---|
| 550 | |
---|
| 551 | |
---|
[11612] | 552 | SUBROUTINE adv_y( pdt, pvt , pcrh, psm , ps0 , & |
---|
[8586] | 553 | & psx, psxx, psy , psyy, psxy ) |
---|
| 554 | !!--------------------------------------------------------------------- |
---|
| 555 | !! ** routine adv_y ** |
---|
[14072] | 556 | !! |
---|
| 557 | !! ** purpose : Computes and adds the advection trend to sea-ice |
---|
[8586] | 558 | !! variable on y axis |
---|
| 559 | !!--------------------------------------------------------------------- |
---|
[11612] | 560 | REAL(wp) , INTENT(in ) :: pdt ! time step |
---|
| 561 | REAL(wp) , INTENT(in ) :: pcrh ! call adv_x then adv_y (=1) or the opposite (=0) |
---|
| 562 | REAL(wp), DIMENSION(:,:) , INTENT(in ) :: pvt ! j-direction ice velocity at V-point [m/s] |
---|
| 563 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: psm ! area |
---|
| 564 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: ps0 ! field to be advected |
---|
[14072] | 565 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: psx , psy ! 1st moments |
---|
[11612] | 566 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: psxx, psyy, psxy ! 2nd moments |
---|
[8586] | 567 | !! |
---|
[11612] | 568 | INTEGER :: ji, jj, jl, jcat ! dummy loop indices |
---|
[13613] | 569 | INTEGER :: ji0 ! dummy loop indices |
---|
[11612] | 570 | REAL(wp) :: zs1max, zslpmax, ztemp ! temporary scalars |
---|
[8586] | 571 | REAL(wp) :: zs1new, zalf , zalfq , zbt ! - - |
---|
| 572 | REAL(wp) :: zs2new, zalf1, zalf1q, zbt1 ! - - |
---|
[13618] | 573 | REAL(wp) :: zpsm, zps0 |
---|
| 574 | REAL(wp) :: zpsx, zpsy, zpsxx, zpsyy, zpsxy |
---|
[8586] | 575 | REAL(wp), DIMENSION(jpi,jpj) :: zf0, zfx , zfy , zbet ! 2D workspace |
---|
| 576 | REAL(wp), DIMENSION(jpi,jpj) :: zfm, zfxx, zfyy, zfxy ! - - |
---|
| 577 | REAL(wp), DIMENSION(jpi,jpj) :: zalg, zalg1, zalg1q ! - - |
---|
| 578 | !--------------------------------------------------------------------- |
---|
[13613] | 579 | ! in order to avoid lbc_lnk (communications): |
---|
| 580 | ! ji loop must be 1:jpi if adv_y is called first |
---|
| 581 | ! and 2:jpi-1 if adv_y is called second |
---|
| 582 | ji0 = NINT(pcrh) |
---|
[11612] | 583 | ! |
---|
| 584 | jcat = SIZE( ps0 , 3 ) ! size of input arrays |
---|
[14072] | 585 | ! |
---|
[11612] | 586 | DO jl = 1, jcat ! loop on categories |
---|
| 587 | ! |
---|
| 588 | ! Limitation of moments. |
---|
[14215] | 589 | DO_2D( ji0, ji0, 1, 1 ) |
---|
[12377] | 590 | ! |
---|
[13618] | 591 | zpsm = psm (ji,jj,jl) ! optimization |
---|
| 592 | zps0 = ps0 (ji,jj,jl) |
---|
| 593 | zpsx = psx (ji,jj,jl) |
---|
| 594 | zpsxx = psxx(ji,jj,jl) |
---|
| 595 | zpsy = psy (ji,jj,jl) |
---|
| 596 | zpsyy = psyy(ji,jj,jl) |
---|
| 597 | zpsxy = psxy(ji,jj,jl) |
---|
| 598 | ! |
---|
| 599 | ! Initialize volumes of boxes (=area if adv_y first called, =psm otherwise) |
---|
| 600 | zpsm = MAX( pcrh * e1e2t(ji,jj) + ( 1.0 - pcrh ) * zpsm , epsi20 ) |
---|
| 601 | ! |
---|
| 602 | zslpmax = MAX( 0._wp, zps0 ) |
---|
[12377] | 603 | zs1max = 1.5 * zslpmax |
---|
[13618] | 604 | zs1new = MIN( zs1max, MAX( -zs1max, zpsy ) ) |
---|
| 605 | zs2new = MIN( ( 2.0 * zslpmax - 0.3334 * ABS( zs1new ) ), MAX( ABS( zs1new )-zslpmax, zpsyy ) ) |
---|
[12377] | 606 | rswitch = ( 1.0 - MAX( 0._wp, SIGN( 1._wp, -zslpmax) ) ) * tmask(ji,jj,1) ! Case of empty boxes & Apply mask |
---|
| 607 | ! |
---|
[14072] | 608 | zps0 = zslpmax |
---|
[13618] | 609 | zpsx = zpsx * rswitch |
---|
| 610 | zpsxx = zpsxx * rswitch |
---|
| 611 | zpsy = zs1new * rswitch |
---|
| 612 | zpsyy = zs2new * rswitch |
---|
| 613 | zpsxy = MIN( zslpmax, MAX( -zslpmax, zpsxy ) ) * rswitch |
---|
| 614 | |
---|
[14072] | 615 | ! Calculate fluxes and moments between boxes j<-->j+1 |
---|
| 616 | ! ! Flux from j to j+1 WHEN v GT 0 |
---|
[12377] | 617 | zbet(ji,jj) = MAX( 0._wp, SIGN( 1._wp, pvt(ji,jj) ) ) |
---|
[13618] | 618 | zalf = MAX( 0._wp, pvt(ji,jj) ) * pdt / zpsm |
---|
[12377] | 619 | zalfq = zalf * zalf |
---|
| 620 | zalf1 = 1.0 - zalf |
---|
| 621 | zalf1q = zalf1 * zalf1 |
---|
| 622 | ! |
---|
[13618] | 623 | zfm (ji,jj) = zalf * zpsm |
---|
[14072] | 624 | zf0 (ji,jj) = zalf * ( zps0 + zalf1 * ( zpsy + (zalf1-zalf) * zpsyy ) ) |
---|
[13618] | 625 | zfy (ji,jj) = zalfq *( zpsy + 3.0*zalf1*zpsyy ) |
---|
| 626 | zfyy(ji,jj) = zalf * zalfq * zpsyy |
---|
| 627 | zfx (ji,jj) = zalf * ( zpsx + zalf1 * zpsxy ) |
---|
| 628 | zfxy(ji,jj) = zalfq * zpsxy |
---|
| 629 | zfxx(ji,jj) = zalf * zpsxx |
---|
[12377] | 630 | ! |
---|
[13613] | 631 | ! ! Readjust moments remaining in the box. |
---|
[13618] | 632 | zpsm = zpsm - zfm(ji,jj) |
---|
| 633 | zps0 = zps0 - zf0(ji,jj) |
---|
| 634 | zpsy = zalf1q * ( zpsy -3.0 * zalf * zpsyy ) |
---|
| 635 | zpsyy = zalf1 * zalf1q * zpsyy |
---|
| 636 | zpsx = zpsx - zfx(ji,jj) |
---|
| 637 | zpsxx = zpsxx - zfxx(ji,jj) |
---|
| 638 | zpsxy = zalf1q * zpsxy |
---|
| 639 | ! |
---|
| 640 | psm (ji,jj,jl) = zpsm ! optimization |
---|
[14072] | 641 | ps0 (ji,jj,jl) = zps0 |
---|
| 642 | psx (ji,jj,jl) = zpsx |
---|
[13618] | 643 | psxx(ji,jj,jl) = zpsxx |
---|
[14072] | 644 | psy (ji,jj,jl) = zpsy |
---|
[13618] | 645 | psyy(ji,jj,jl) = zpsyy |
---|
| 646 | psxy(ji,jj,jl) = zpsxy |
---|
[12377] | 647 | END_2D |
---|
[11612] | 648 | ! |
---|
[14215] | 649 | DO_2D( ji0, ji0, 1, 0 ) |
---|
[13613] | 650 | ! ! Flux from j+1 to j when v LT 0. |
---|
[14072] | 651 | zalf = MAX( 0._wp, -pvt(ji,jj) ) * pdt / psm(ji,jj+1,jl) |
---|
[12377] | 652 | zalg (ji,jj) = zalf |
---|
| 653 | zalfq = zalf * zalf |
---|
| 654 | zalf1 = 1.0 - zalf |
---|
| 655 | zalg1 (ji,jj) = zalf1 |
---|
| 656 | zalf1q = zalf1 * zalf1 |
---|
| 657 | zalg1q(ji,jj) = zalf1q |
---|
| 658 | ! |
---|
| 659 | zfm (ji,jj) = zfm (ji,jj) + zalf * psm (ji,jj+1,jl) |
---|
| 660 | zf0 (ji,jj) = zf0 (ji,jj) + zalf * ( ps0 (ji,jj+1,jl) & |
---|
| 661 | & - zalf1 * (psy(ji,jj+1,jl) - (zalf1 - zalf ) * psyy(ji,jj+1,jl) ) ) |
---|
| 662 | zfy (ji,jj) = zfy (ji,jj) + zalfq * ( psy (ji,jj+1,jl) - 3.0 * zalf1 * psyy(ji,jj+1,jl) ) |
---|
| 663 | zfyy (ji,jj) = zfyy(ji,jj) + zalf * psyy(ji,jj+1,jl) * zalfq |
---|
| 664 | zfx (ji,jj) = zfx (ji,jj) + zalf * ( psx (ji,jj+1,jl) - zalf1 * psxy(ji,jj+1,jl) ) |
---|
| 665 | zfxy (ji,jj) = zfxy(ji,jj) + zalfq * psxy(ji,jj+1,jl) |
---|
| 666 | zfxx (ji,jj) = zfxx(ji,jj) + zalf * psxx(ji,jj+1,jl) |
---|
| 667 | END_2D |
---|
[8586] | 668 | |
---|
[14215] | 669 | DO_2D( ji0, ji0, 0, 0 ) |
---|
[13613] | 670 | ! ! Readjust moments remaining in the box. |
---|
[12377] | 671 | zbt = zbet(ji,jj-1) |
---|
| 672 | zbt1 = ( 1.0 - zbet(ji,jj-1) ) |
---|
| 673 | ! |
---|
[13618] | 674 | zpsm = psm (ji,jj,jl) ! optimization |
---|
| 675 | zps0 = ps0 (ji,jj,jl) |
---|
| 676 | zpsx = psx (ji,jj,jl) |
---|
| 677 | zpsxx = psxx(ji,jj,jl) |
---|
| 678 | zpsy = psy (ji,jj,jl) |
---|
| 679 | zpsyy = psyy(ji,jj,jl) |
---|
| 680 | zpsxy = psxy(ji,jj,jl) |
---|
| 681 | ! |
---|
| 682 | zpsm = zbt * zpsm + zbt1 * ( zpsm - zfm(ji,jj-1) ) |
---|
| 683 | zps0 = zbt * zps0 + zbt1 * ( zps0 - zf0(ji,jj-1) ) |
---|
| 684 | zpsy = zalg1q(ji,jj-1) * ( zpsy + 3.0 * zalg(ji,jj-1) * zpsyy ) |
---|
| 685 | zpsyy = zalg1 (ji,jj-1) * zalg1q(ji,jj-1) * zpsyy |
---|
| 686 | zpsx = zbt * zpsx + zbt1 * ( zpsx - zfx (ji,jj-1) ) |
---|
| 687 | zpsxx = zbt * zpsxx + zbt1 * ( zpsxx - zfxx(ji,jj-1) ) |
---|
| 688 | zpsxy = zalg1q(ji,jj-1) * zpsxy |
---|
[8586] | 689 | |
---|
[14072] | 690 | ! Put the temporary moments into appropriate neighboring boxes. |
---|
[13613] | 691 | ! ! Flux from j to j+1 IF v GT 0. |
---|
[13618] | 692 | zbt = zbet(ji,jj-1) |
---|
| 693 | zbt1 = 1.0 - zbet(ji,jj-1) |
---|
[14072] | 694 | zpsm = zbt * ( zpsm + zfm(ji,jj-1) ) + zbt1 * zpsm |
---|
| 695 | zalf = zbt * zfm(ji,jj-1) / zpsm |
---|
[13618] | 696 | zalf1 = 1.0 - zalf |
---|
| 697 | ztemp = zalf * zps0 - zalf1 * zf0(ji,jj-1) |
---|
[12377] | 698 | ! |
---|
[13618] | 699 | zps0 = zbt * ( zps0 + zf0(ji,jj-1) ) + zbt1 * zps0 |
---|
| 700 | zpsy = zbt * ( zalf * zfy(ji,jj-1) + zalf1 * zpsy + 3.0 * ztemp ) & |
---|
[14072] | 701 | & + zbt1 * zpsy |
---|
[13618] | 702 | zpsyy = zbt * ( zalf * zalf * zfyy(ji,jj-1) + zalf1 * zalf1 * zpsyy & |
---|
[14072] | 703 | & + 5.0 * ( zalf * zalf1 * ( zpsy - zfy(ji,jj-1) ) - ( zalf1 - zalf ) * ztemp ) ) & |
---|
[13618] | 704 | & + zbt1 * zpsyy |
---|
| 705 | zpsxy = zbt * ( zalf * zfxy(ji,jj-1) + zalf1 * zpsxy & |
---|
| 706 | & + 3.0 * (- zalf1 * zfx(ji,jj-1) + zalf * zpsx ) ) & |
---|
| 707 | & + zbt1 * zpsxy |
---|
[14072] | 708 | zpsx = zbt * ( zpsx + zfx (ji,jj-1) ) + zbt1 * zpsx |
---|
[13618] | 709 | zpsxx = zbt * ( zpsxx + zfxx(ji,jj-1) ) + zbt1 * zpsxx |
---|
[8586] | 710 | |
---|
[13613] | 711 | ! ! Flux from j+1 to j IF v LT 0. |
---|
[13618] | 712 | zbt = zbet(ji,jj) |
---|
| 713 | zbt1 = 1.0 - zbet(ji,jj) |
---|
| 714 | zpsm = zbt * zpsm + zbt1 * ( zpsm + zfm(ji,jj) ) |
---|
| 715 | zalf = zbt1 * zfm(ji,jj) / zpsm |
---|
| 716 | zalf1 = 1.0 - zalf |
---|
| 717 | ztemp = - zalf * zps0 + zalf1 * zf0(ji,jj) |
---|
[12377] | 718 | ! |
---|
[13618] | 719 | zps0 = zbt * zps0 + zbt1 * ( zps0 + zf0(ji,jj) ) |
---|
| 720 | zpsy = zbt * zpsy + zbt1 * ( zalf * zfy(ji,jj) + zalf1 * zpsy + 3.0 * ztemp ) |
---|
| 721 | zpsyy = zbt * zpsyy + zbt1 * ( zalf * zalf * zfyy(ji,jj) + zalf1 * zalf1 * zpsyy & |
---|
| 722 | & + 5.0 * ( zalf * zalf1 * ( - zpsy + zfy(ji,jj) ) & |
---|
| 723 | & + ( zalf1 - zalf ) * ztemp ) ) |
---|
| 724 | zpsxy = zbt * zpsxy + zbt1 * ( zalf * zfxy(ji,jj) + zalf1 * zpsxy & |
---|
| 725 | & + 3.0 * ( zalf1 * zfx(ji,jj) - zalf * zpsx ) ) |
---|
| 726 | zpsx = zbt * zpsx + zbt1 * ( zpsx + zfx (ji,jj) ) |
---|
| 727 | zpsxx = zbt * zpsxx + zbt1 * ( zpsxx + zfxx(ji,jj) ) |
---|
| 728 | ! |
---|
| 729 | psm (ji,jj,jl) = zpsm ! optimization |
---|
[14072] | 730 | ps0 (ji,jj,jl) = zps0 |
---|
| 731 | psx (ji,jj,jl) = zpsx |
---|
[13618] | 732 | psxx(ji,jj,jl) = zpsxx |
---|
[14072] | 733 | psy (ji,jj,jl) = zpsy |
---|
[13618] | 734 | psyy(ji,jj,jl) = zpsyy |
---|
| 735 | psxy(ji,jj,jl) = zpsxy |
---|
[12377] | 736 | END_2D |
---|
[13613] | 737 | ! |
---|
[8586] | 738 | END DO |
---|
| 739 | ! |
---|
| 740 | END SUBROUTINE adv_y |
---|
| 741 | |
---|
[8817] | 742 | |
---|
[13472] | 743 | SUBROUTINE Hbig( pdt, phi_max, phs_max, phip_max, psi_max, pes_max, pei_max, & |
---|
| 744 | & pv_i, pv_s, pa_i, pa_ip, pv_ip, psv_i, pe_s, pe_i ) |
---|
[12197] | 745 | !!------------------------------------------------------------------- |
---|
| 746 | !! *** ROUTINE Hbig *** |
---|
| 747 | !! |
---|
| 748 | !! ** Purpose : Thickness correction in case advection scheme creates |
---|
| 749 | !! abnormally tick ice or snow |
---|
| 750 | !! |
---|
| 751 | !! ** Method : 1- check whether ice thickness is larger than the surrounding 9-points |
---|
| 752 | !! (before advection) and reduce it by adapting ice concentration |
---|
| 753 | !! 2- check whether snow thickness is larger than the surrounding 9-points |
---|
| 754 | !! (before advection) and reduce it by sending the excess in the ocean |
---|
| 755 | !! |
---|
| 756 | !! ** input : Max thickness of the surrounding 9-points |
---|
| 757 | !!------------------------------------------------------------------- |
---|
[13472] | 758 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
| 759 | REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: phi_max, phs_max, phip_max, psi_max ! max ice thick from surrounding 9-pts |
---|
| 760 | REAL(wp), DIMENSION(:,:,:,:), INTENT(in ) :: pes_max |
---|
| 761 | REAL(wp), DIMENSION(:,:,:,:), INTENT(in ) :: pei_max |
---|
| 762 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_i, pv_s, pa_i, pa_ip, pv_ip, psv_i |
---|
[12197] | 763 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_s |
---|
[13472] | 764 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_i |
---|
[12197] | 765 | ! |
---|
[13472] | 766 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
---|
| 767 | REAL(wp) :: z1_dt, zhip, zhi, zhs, zsi, zes, zei, zfra |
---|
[12197] | 768 | !!------------------------------------------------------------------- |
---|
| 769 | ! |
---|
| 770 | z1_dt = 1._wp / pdt |
---|
| 771 | ! |
---|
| 772 | DO jl = 1, jpl |
---|
[15049] | 773 | DO_2D( nn_hls, nn_hls, nn_hls, nn_hls ) |
---|
[12377] | 774 | IF ( pv_i(ji,jj,jl) > 0._wp ) THEN |
---|
| 775 | ! |
---|
| 776 | ! ! -- check h_ip -- ! |
---|
| 777 | ! if h_ip is larger than the surrounding 9 pts => reduce h_ip and increase a_ip |
---|
[14005] | 778 | IF( ln_pnd_LEV .OR. ln_pnd_TOPO .AND. pv_ip(ji,jj,jl) > 0._wp ) THEN |
---|
[12377] | 779 | zhip = pv_ip(ji,jj,jl) / MAX( epsi20, pa_ip(ji,jj,jl) ) |
---|
| 780 | IF( zhip > phip_max(ji,jj,jl) .AND. pa_ip(ji,jj,jl) < 0.15 ) THEN |
---|
| 781 | pa_ip(ji,jj,jl) = pv_ip(ji,jj,jl) / phip_max(ji,jj,jl) |
---|
[12197] | 782 | ENDIF |
---|
[12377] | 783 | ENDIF |
---|
| 784 | ! |
---|
| 785 | ! ! -- check h_i -- ! |
---|
| 786 | ! if h_i is larger than the surrounding 9 pts => reduce h_i and increase a_i |
---|
| 787 | zhi = pv_i(ji,jj,jl) / pa_i(ji,jj,jl) |
---|
| 788 | IF( zhi > phi_max(ji,jj,jl) .AND. pa_i(ji,jj,jl) < 0.15 ) THEN |
---|
| 789 | pa_i(ji,jj,jl) = pv_i(ji,jj,jl) / MIN( phi_max(ji,jj,jl), hi_max(jpl) ) !-- bound h_i to hi_max (99 m) |
---|
| 790 | ENDIF |
---|
| 791 | ! |
---|
| 792 | ! ! -- check h_s -- ! |
---|
| 793 | ! if h_s is larger than the surrounding 9 pts => put the snow excess in the ocean |
---|
| 794 | zhs = pv_s(ji,jj,jl) / pa_i(ji,jj,jl) |
---|
| 795 | IF( pv_s(ji,jj,jl) > 0._wp .AND. zhs > phs_max(ji,jj,jl) .AND. pa_i(ji,jj,jl) < 0.15 ) THEN |
---|
| 796 | zfra = phs_max(ji,jj,jl) / MAX( zhs, epsi20 ) |
---|
[12197] | 797 | ! |
---|
[12377] | 798 | wfx_res(ji,jj) = wfx_res(ji,jj) + ( pv_s(ji,jj,jl) - pa_i(ji,jj,jl) * phs_max(ji,jj,jl) ) * rhos * z1_dt |
---|
| 799 | 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 |
---|
[12197] | 800 | ! |
---|
[12377] | 801 | pe_s(ji,jj,1:nlay_s,jl) = pe_s(ji,jj,1:nlay_s,jl) * zfra |
---|
| 802 | pv_s(ji,jj,jl) = pa_i(ji,jj,jl) * phs_max(ji,jj,jl) |
---|
[14072] | 803 | ENDIF |
---|
| 804 | ! |
---|
[13472] | 805 | ! ! -- check s_i -- ! |
---|
| 806 | ! if s_i is larger than the surrounding 9 pts => put salt excess in the ocean |
---|
| 807 | zsi = psv_i(ji,jj,jl) / pv_i(ji,jj,jl) |
---|
| 808 | IF( zsi > psi_max(ji,jj,jl) .AND. pa_i(ji,jj,jl) < 0.15 ) THEN |
---|
| 809 | zfra = psi_max(ji,jj,jl) / zsi |
---|
| 810 | sfx_res(ji,jj) = sfx_res(ji,jj) + psv_i(ji,jj,jl) * ( 1._wp - zfra ) * rhoi * z1_dt |
---|
| 811 | psv_i(ji,jj,jl) = psv_i(ji,jj,jl) * zfra |
---|
| 812 | ENDIF |
---|
| 813 | ! |
---|
[12377] | 814 | ENDIF |
---|
| 815 | END_2D |
---|
[14072] | 816 | END DO |
---|
[12197] | 817 | ! |
---|
[13472] | 818 | ! ! -- check e_i/v_i -- ! |
---|
| 819 | DO jl = 1, jpl |
---|
[15049] | 820 | DO_3D( nn_hls, nn_hls, nn_hls, nn_hls, 1, nlay_i ) |
---|
[13472] | 821 | IF ( pv_i(ji,jj,jl) > 0._wp ) THEN |
---|
| 822 | ! if e_i/v_i is larger than the surrounding 9 pts => put the heat excess in the ocean |
---|
| 823 | zei = pe_i(ji,jj,jk,jl) / pv_i(ji,jj,jl) |
---|
| 824 | IF( zei > pei_max(ji,jj,jk,jl) .AND. pa_i(ji,jj,jl) < 0.15 ) THEN |
---|
| 825 | zfra = pei_max(ji,jj,jk,jl) / zei |
---|
| 826 | hfx_res(ji,jj) = hfx_res(ji,jj) - pe_i(ji,jj,jk,jl) * ( 1._wp - zfra ) * z1_dt ! W.m-2 <0 |
---|
| 827 | pe_i(ji,jj,jk,jl) = pe_i(ji,jj,jk,jl) * zfra |
---|
| 828 | ENDIF |
---|
| 829 | ENDIF |
---|
| 830 | END_3D |
---|
| 831 | END DO |
---|
| 832 | ! ! -- check e_s/v_s -- ! |
---|
| 833 | DO jl = 1, jpl |
---|
[15049] | 834 | DO_3D( nn_hls, nn_hls, nn_hls, nn_hls, 1, nlay_s ) |
---|
[13472] | 835 | IF ( pv_s(ji,jj,jl) > 0._wp ) THEN |
---|
| 836 | ! if e_s/v_s is larger than the surrounding 9 pts => put the heat excess in the ocean |
---|
| 837 | zes = pe_s(ji,jj,jk,jl) / pv_s(ji,jj,jl) |
---|
| 838 | IF( zes > pes_max(ji,jj,jk,jl) .AND. pa_i(ji,jj,jl) < 0.15 ) THEN |
---|
| 839 | zfra = pes_max(ji,jj,jk,jl) / zes |
---|
| 840 | hfx_res(ji,jj) = hfx_res(ji,jj) - pe_s(ji,jj,jk,jl) * ( 1._wp - zfra ) * z1_dt ! W.m-2 <0 |
---|
| 841 | pe_s(ji,jj,jk,jl) = pe_s(ji,jj,jk,jl) * zfra |
---|
| 842 | ENDIF |
---|
| 843 | ENDIF |
---|
| 844 | END_3D |
---|
| 845 | END DO |
---|
| 846 | ! |
---|
[12197] | 847 | END SUBROUTINE Hbig |
---|
| 848 | |
---|
| 849 | |
---|
[11632] | 850 | SUBROUTINE Hsnow( pdt, pv_i, pv_s, pa_i, pa_ip, pe_s ) |
---|
| 851 | !!------------------------------------------------------------------- |
---|
| 852 | !! *** ROUTINE Hsnow *** |
---|
| 853 | !! |
---|
| 854 | !! ** Purpose : 1- Check snow load after advection |
---|
| 855 | !! 2- Correct pond concentration to avoid a_ip > a_i |
---|
| 856 | !! |
---|
| 857 | !! ** Method : If snow load makes snow-ice interface to deplet below the ocean surface |
---|
| 858 | !! then put the snow excess in the ocean |
---|
| 859 | !! |
---|
| 860 | !! ** Notes : This correction is crucial because of the call to routine icecor afterwards |
---|
| 861 | !! which imposes a mini of ice thick. (rn_himin). This imposed mini can artificially |
---|
| 862 | !! make the snow very thick (if concentration decreases drastically) |
---|
| 863 | !! This behavior has been seen in Ultimate-Macho and supposedly it can also be true for Prather |
---|
| 864 | !!------------------------------------------------------------------- |
---|
| 865 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
| 866 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_i, pv_s, pa_i, pa_ip |
---|
| 867 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_s |
---|
| 868 | ! |
---|
| 869 | INTEGER :: ji, jj, jl ! dummy loop indices |
---|
| 870 | REAL(wp) :: z1_dt, zvs_excess, zfra |
---|
| 871 | !!------------------------------------------------------------------- |
---|
| 872 | ! |
---|
| 873 | z1_dt = 1._wp / pdt |
---|
| 874 | ! |
---|
| 875 | ! -- check snow load -- ! |
---|
| 876 | DO jl = 1, jpl |
---|
[15049] | 877 | DO_2D( nn_hls, nn_hls, nn_hls, nn_hls ) |
---|
[12377] | 878 | IF ( pv_i(ji,jj,jl) > 0._wp ) THEN |
---|
| 879 | ! |
---|
[12489] | 880 | zvs_excess = MAX( 0._wp, pv_s(ji,jj,jl) - pv_i(ji,jj,jl) * (rho0-rhoi) * r1_rhos ) |
---|
[12377] | 881 | ! |
---|
| 882 | IF( zvs_excess > 0._wp ) THEN ! snow-ice interface deplets below the ocean surface |
---|
| 883 | ! put snow excess in the ocean |
---|
| 884 | zfra = ( pv_s(ji,jj,jl) - zvs_excess ) / MAX( pv_s(ji,jj,jl), epsi20 ) |
---|
| 885 | wfx_res(ji,jj) = wfx_res(ji,jj) + zvs_excess * rhos * z1_dt |
---|
| 886 | 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 |
---|
| 887 | ! correct snow volume and heat content |
---|
| 888 | pe_s(ji,jj,1:nlay_s,jl) = pe_s(ji,jj,1:nlay_s,jl) * zfra |
---|
| 889 | pv_s(ji,jj,jl) = pv_s(ji,jj,jl) - zvs_excess |
---|
[11632] | 890 | ENDIF |
---|
[12377] | 891 | ! |
---|
| 892 | ENDIF |
---|
| 893 | END_2D |
---|
[11632] | 894 | END DO |
---|
| 895 | ! |
---|
| 896 | !-- correct pond concentration to avoid a_ip > a_i -- ! |
---|
| 897 | WHERE( pa_ip(:,:,:) > pa_i(:,:,:) ) pa_ip(:,:,:) = pa_i(:,:,:) |
---|
| 898 | ! |
---|
| 899 | END SUBROUTINE Hsnow |
---|
| 900 | |
---|
| 901 | |
---|
[8586] | 902 | SUBROUTINE adv_pra_init |
---|
| 903 | !!------------------------------------------------------------------- |
---|
| 904 | !! *** ROUTINE adv_pra_init *** |
---|
| 905 | !! |
---|
[14072] | 906 | !! ** Purpose : allocate and initialize arrays for Prather advection |
---|
[8586] | 907 | !!------------------------------------------------------------------- |
---|
| 908 | INTEGER :: ierr |
---|
| 909 | !!------------------------------------------------------------------- |
---|
[8817] | 910 | ! |
---|
| 911 | ! !* allocate prather fields |
---|
[11732] | 912 | ALLOCATE( sxice(jpi,jpj,jpl) , syice(jpi,jpj,jpl) , sxxice(jpi,jpj,jpl) , syyice(jpi,jpj,jpl) , sxyice(jpi,jpj,jpl) , & |
---|
[8586] | 913 | & sxsn (jpi,jpj,jpl) , sysn (jpi,jpj,jpl) , sxxsn (jpi,jpj,jpl) , syysn (jpi,jpj,jpl) , sxysn (jpi,jpj,jpl) , & |
---|
| 914 | & sxa (jpi,jpj,jpl) , sya (jpi,jpj,jpl) , sxxa (jpi,jpj,jpl) , syya (jpi,jpj,jpl) , sxya (jpi,jpj,jpl) , & |
---|
| 915 | & sxsal(jpi,jpj,jpl) , sysal(jpi,jpj,jpl) , sxxsal(jpi,jpj,jpl) , syysal(jpi,jpj,jpl) , sxysal(jpi,jpj,jpl) , & |
---|
| 916 | & sxage(jpi,jpj,jpl) , syage(jpi,jpj,jpl) , sxxage(jpi,jpj,jpl) , syyage(jpi,jpj,jpl) , sxyage(jpi,jpj,jpl) , & |
---|
[13472] | 917 | & sxap (jpi,jpj,jpl) , syap (jpi,jpj,jpl) , sxxap (jpi,jpj,jpl) , syyap (jpi,jpj,jpl) , sxyap (jpi,jpj,jpl) , & |
---|
| 918 | & sxvp (jpi,jpj,jpl) , syvp (jpi,jpj,jpl) , sxxvp (jpi,jpj,jpl) , syyvp (jpi,jpj,jpl) , sxyvp (jpi,jpj,jpl) , & |
---|
| 919 | & sxvl (jpi,jpj,jpl) , syvl (jpi,jpj,jpl) , sxxvl (jpi,jpj,jpl) , syyvl (jpi,jpj,jpl) , sxyvl (jpi,jpj,jpl) , & |
---|
[9271] | 920 | ! |
---|
| 921 | & sxc0 (jpi,jpj,nlay_s,jpl) , syc0 (jpi,jpj,nlay_s,jpl) , sxxc0(jpi,jpj,nlay_s,jpl) , & |
---|
| 922 | & syyc0(jpi,jpj,nlay_s,jpl) , sxyc0(jpi,jpj,nlay_s,jpl) , & |
---|
| 923 | ! |
---|
| 924 | & sxe (jpi,jpj,nlay_i,jpl) , sye (jpi,jpj,nlay_i,jpl) , sxxe (jpi,jpj,nlay_i,jpl) , & |
---|
| 925 | & syye (jpi,jpj,nlay_i,jpl) , sxye (jpi,jpj,nlay_i,jpl) , & |
---|
[8586] | 926 | & STAT = ierr ) |
---|
| 927 | ! |
---|
[10425] | 928 | CALL mpp_sum( 'icedyn_adv_pra', ierr ) |
---|
[8586] | 929 | IF( ierr /= 0 ) CALL ctl_stop('STOP', 'adv_pra_init : unable to allocate ice arrays for Prather advection scheme') |
---|
| 930 | ! |
---|
[8817] | 931 | CALL adv_pra_rst( 'READ' ) !* read or initialize all required files |
---|
[8586] | 932 | ! |
---|
| 933 | END SUBROUTINE adv_pra_init |
---|
| 934 | |
---|
[8817] | 935 | |
---|
[8586] | 936 | SUBROUTINE adv_pra_rst( cdrw, kt ) |
---|
| 937 | !!--------------------------------------------------------------------- |
---|
| 938 | !! *** ROUTINE adv_pra_rst *** |
---|
[14072] | 939 | !! |
---|
[11612] | 940 | !! ** Purpose : Read or write file in restart file |
---|
[8586] | 941 | !! |
---|
| 942 | !! ** Method : use of IOM library |
---|
| 943 | !!---------------------------------------------------------------------- |
---|
| 944 | CHARACTER(len=*) , INTENT(in) :: cdrw ! "READ"/"WRITE" flag |
---|
| 945 | INTEGER, OPTIONAL, INTENT(in) :: kt ! ice time-step |
---|
| 946 | ! |
---|
| 947 | INTEGER :: jk, jl ! dummy loop indices |
---|
| 948 | INTEGER :: iter ! local integer |
---|
| 949 | INTEGER :: id1 ! local integer |
---|
| 950 | CHARACTER(len=25) :: znam |
---|
| 951 | CHARACTER(len=2) :: zchar, zchar1 |
---|
[8817] | 952 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: z3d ! 3D workspace |
---|
[8586] | 953 | !!---------------------------------------------------------------------- |
---|
| 954 | ! |
---|
[8817] | 955 | ! !==========================! |
---|
| 956 | IF( TRIM(cdrw) == 'READ' ) THEN !== Read or initialize ==! |
---|
| 957 | ! !==========================! |
---|
| 958 | ! |
---|
[11732] | 959 | IF( ln_rstart ) THEN ; id1 = iom_varid( numrir, 'sxice' , ldstop = .FALSE. ) ! file exist: id1>0 |
---|
[8817] | 960 | ELSE ; id1 = 0 ! no restart: id1=0 |
---|
| 961 | ENDIF |
---|
| 962 | ! |
---|
| 963 | IF( id1 > 0 ) THEN !** Read the restart file **! |
---|
[8586] | 964 | ! |
---|
[8817] | 965 | ! ! ice thickness |
---|
[13613] | 966 | CALL iom_get( numrir, jpdom_auto, 'sxice' , sxice , psgn = -1._wp ) |
---|
| 967 | CALL iom_get( numrir, jpdom_auto, 'syice' , syice , psgn = -1._wp ) |
---|
[13286] | 968 | CALL iom_get( numrir, jpdom_auto, 'sxxice', sxxice ) |
---|
| 969 | CALL iom_get( numrir, jpdom_auto, 'syyice', syyice ) |
---|
| 970 | CALL iom_get( numrir, jpdom_auto, 'sxyice', sxyice ) |
---|
[8817] | 971 | ! ! snow thickness |
---|
[13613] | 972 | CALL iom_get( numrir, jpdom_auto, 'sxsn' , sxsn , psgn = -1._wp ) |
---|
| 973 | CALL iom_get( numrir, jpdom_auto, 'sysn' , sysn , psgn = -1._wp ) |
---|
[13286] | 974 | CALL iom_get( numrir, jpdom_auto, 'sxxsn' , sxxsn ) |
---|
| 975 | CALL iom_get( numrir, jpdom_auto, 'syysn' , syysn ) |
---|
| 976 | CALL iom_get( numrir, jpdom_auto, 'sxysn' , sxysn ) |
---|
[11627] | 977 | ! ! ice concentration |
---|
[13613] | 978 | CALL iom_get( numrir, jpdom_auto, 'sxa' , sxa , psgn = -1._wp ) |
---|
| 979 | CALL iom_get( numrir, jpdom_auto, 'sya' , sya , psgn = -1._wp ) |
---|
[13286] | 980 | CALL iom_get( numrir, jpdom_auto, 'sxxa' , sxxa ) |
---|
| 981 | CALL iom_get( numrir, jpdom_auto, 'syya' , syya ) |
---|
| 982 | CALL iom_get( numrir, jpdom_auto, 'sxya' , sxya ) |
---|
[8817] | 983 | ! ! ice salinity |
---|
[13613] | 984 | CALL iom_get( numrir, jpdom_auto, 'sxsal' , sxsal , psgn = -1._wp ) |
---|
| 985 | CALL iom_get( numrir, jpdom_auto, 'sysal' , sysal , psgn = -1._wp ) |
---|
[13286] | 986 | CALL iom_get( numrir, jpdom_auto, 'sxxsal', sxxsal ) |
---|
| 987 | CALL iom_get( numrir, jpdom_auto, 'syysal', syysal ) |
---|
| 988 | CALL iom_get( numrir, jpdom_auto, 'sxysal', sxysal ) |
---|
[8817] | 989 | ! ! ice age |
---|
[13613] | 990 | CALL iom_get( numrir, jpdom_auto, 'sxage' , sxage , psgn = -1._wp ) |
---|
| 991 | CALL iom_get( numrir, jpdom_auto, 'syage' , syage , psgn = -1._wp ) |
---|
[13286] | 992 | CALL iom_get( numrir, jpdom_auto, 'sxxage', sxxage ) |
---|
| 993 | CALL iom_get( numrir, jpdom_auto, 'syyage', syyage ) |
---|
| 994 | CALL iom_get( numrir, jpdom_auto, 'sxyage', sxyage ) |
---|
[9271] | 995 | ! ! snow layers heat content |
---|
| 996 | DO jk = 1, nlay_s |
---|
| 997 | WRITE(zchar1,'(I2.2)') jk |
---|
[14072] | 998 | znam = 'sxc0'//'_l'//zchar1 |
---|
[13970] | 999 | CALL iom_get( numrir, jpdom_auto, znam , z3d, psgn = -1._wp ) ; sxc0 (:,:,jk,:) = z3d(:,:,:) |
---|
[14072] | 1000 | znam = 'syc0'//'_l'//zchar1 |
---|
[13970] | 1001 | CALL iom_get( numrir, jpdom_auto, znam , z3d, psgn = -1._wp ) ; syc0 (:,:,jk,:) = z3d(:,:,:) |
---|
[14072] | 1002 | znam = 'sxxc0'//'_l'//zchar1 |
---|
[13970] | 1003 | CALL iom_get( numrir, jpdom_auto, znam , z3d ) ; sxxc0(:,:,jk,:) = z3d(:,:,:) |
---|
[14072] | 1004 | znam = 'syyc0'//'_l'//zchar1 |
---|
[13970] | 1005 | CALL iom_get( numrir, jpdom_auto, znam , z3d ) ; syyc0(:,:,jk,:) = z3d(:,:,:) |
---|
[14072] | 1006 | znam = 'sxyc0'//'_l'//zchar1 |
---|
[13970] | 1007 | CALL iom_get( numrir, jpdom_auto, znam , z3d ) ; sxyc0(:,:,jk,:) = z3d(:,:,:) |
---|
[9271] | 1008 | END DO |
---|
[8817] | 1009 | ! ! ice layers heat content |
---|
[9271] | 1010 | DO jk = 1, nlay_i |
---|
[8817] | 1011 | WRITE(zchar1,'(I2.2)') jk |
---|
[14072] | 1012 | znam = 'sxe'//'_l'//zchar1 |
---|
[13970] | 1013 | CALL iom_get( numrir, jpdom_auto, znam , z3d, psgn = -1._wp ) ; sxe (:,:,jk,:) = z3d(:,:,:) |
---|
[14072] | 1014 | znam = 'sye'//'_l'//zchar1 |
---|
[13970] | 1015 | CALL iom_get( numrir, jpdom_auto, znam , z3d, psgn = -1._wp ) ; sye (:,:,jk,:) = z3d(:,:,:) |
---|
[14072] | 1016 | znam = 'sxxe'//'_l'//zchar1 |
---|
[13970] | 1017 | CALL iom_get( numrir, jpdom_auto, znam , z3d ) ; sxxe(:,:,jk,:) = z3d(:,:,:) |
---|
[14072] | 1018 | znam = 'syye'//'_l'//zchar1 |
---|
[13970] | 1019 | CALL iom_get( numrir, jpdom_auto, znam , z3d ) ; syye(:,:,jk,:) = z3d(:,:,:) |
---|
[14072] | 1020 | znam = 'sxye'//'_l'//zchar1 |
---|
[13970] | 1021 | CALL iom_get( numrir, jpdom_auto, znam , z3d ) ; sxye(:,:,jk,:) = z3d(:,:,:) |
---|
[8817] | 1022 | END DO |
---|
[8586] | 1023 | ! |
---|
[14005] | 1024 | IF( ln_pnd_LEV .OR. ln_pnd_TOPO ) THEN ! melt pond fraction |
---|
[13637] | 1025 | IF( iom_varid( numrir, 'sxap', ldstop = .FALSE. ) > 0 ) THEN |
---|
[13613] | 1026 | CALL iom_get( numrir, jpdom_auto, 'sxap' , sxap , psgn = -1._wp ) |
---|
| 1027 | CALL iom_get( numrir, jpdom_auto, 'syap' , syap , psgn = -1._wp ) |
---|
[13472] | 1028 | CALL iom_get( numrir, jpdom_auto, 'sxxap', sxxap ) |
---|
| 1029 | CALL iom_get( numrir, jpdom_auto, 'syyap', syyap ) |
---|
| 1030 | CALL iom_get( numrir, jpdom_auto, 'sxyap', sxyap ) |
---|
| 1031 | ! ! melt pond volume |
---|
[13613] | 1032 | CALL iom_get( numrir, jpdom_auto, 'sxvp' , sxvp , psgn = -1._wp ) |
---|
| 1033 | CALL iom_get( numrir, jpdom_auto, 'syvp' , syvp , psgn = -1._wp ) |
---|
[13472] | 1034 | CALL iom_get( numrir, jpdom_auto, 'sxxvp', sxxvp ) |
---|
| 1035 | CALL iom_get( numrir, jpdom_auto, 'syyvp', syyvp ) |
---|
| 1036 | CALL iom_get( numrir, jpdom_auto, 'sxyvp', sxyvp ) |
---|
| 1037 | ELSE |
---|
| 1038 | sxap = 0._wp ; syap = 0._wp ; sxxap = 0._wp ; syyap = 0._wp ; sxyap = 0._wp ! melt pond fraction |
---|
| 1039 | sxvp = 0._wp ; syvp = 0._wp ; sxxvp = 0._wp ; syyvp = 0._wp ; sxyvp = 0._wp ! melt pond volume |
---|
| 1040 | ENDIF |
---|
| 1041 | ! |
---|
| 1042 | IF ( ln_pnd_lids ) THEN ! melt pond lid volume |
---|
[13637] | 1043 | IF( iom_varid( numrir, 'sxvl', ldstop = .FALSE. ) > 0 ) THEN |
---|
[13613] | 1044 | CALL iom_get( numrir, jpdom_auto, 'sxvl' , sxvl , psgn = -1._wp ) |
---|
| 1045 | CALL iom_get( numrir, jpdom_auto, 'syvl' , syvl , psgn = -1._wp ) |
---|
[13472] | 1046 | CALL iom_get( numrir, jpdom_auto, 'sxxvl', sxxvl ) |
---|
| 1047 | CALL iom_get( numrir, jpdom_auto, 'syyvl', syyvl ) |
---|
| 1048 | CALL iom_get( numrir, jpdom_auto, 'sxyvl', sxyvl ) |
---|
| 1049 | ELSE |
---|
| 1050 | sxvl = 0._wp; syvl = 0._wp ; sxxvl = 0._wp ; syyvl = 0._wp ; sxyvl = 0._wp ! melt pond lid volume |
---|
| 1051 | ENDIF |
---|
| 1052 | ENDIF |
---|
[8586] | 1053 | ENDIF |
---|
| 1054 | ! |
---|
[8817] | 1055 | ELSE !** start rheology from rest **! |
---|
| 1056 | ! |
---|
| 1057 | IF(lwp) WRITE(numout,*) ' ==>> start from rest OR previous run without Prather, set moments to 0' |
---|
| 1058 | ! |
---|
| 1059 | sxice = 0._wp ; syice = 0._wp ; sxxice = 0._wp ; syyice = 0._wp ; sxyice = 0._wp ! ice thickness |
---|
| 1060 | sxsn = 0._wp ; sysn = 0._wp ; sxxsn = 0._wp ; syysn = 0._wp ; sxysn = 0._wp ! snow thickness |
---|
[11627] | 1061 | sxa = 0._wp ; sya = 0._wp ; sxxa = 0._wp ; syya = 0._wp ; sxya = 0._wp ! ice concentration |
---|
[8817] | 1062 | sxsal = 0._wp ; sysal = 0._wp ; sxxsal = 0._wp ; syysal = 0._wp ; sxysal = 0._wp ! ice salinity |
---|
| 1063 | sxage = 0._wp ; syage = 0._wp ; sxxage = 0._wp ; syyage = 0._wp ; sxyage = 0._wp ! ice age |
---|
[9271] | 1064 | sxc0 = 0._wp ; syc0 = 0._wp ; sxxc0 = 0._wp ; syyc0 = 0._wp ; sxyc0 = 0._wp ! snow layers heat content |
---|
[8817] | 1065 | sxe = 0._wp ; sye = 0._wp ; sxxe = 0._wp ; syye = 0._wp ; sxye = 0._wp ! ice layers heat content |
---|
[14005] | 1066 | IF( ln_pnd_LEV .OR. ln_pnd_TOPO ) THEN |
---|
[13472] | 1067 | sxap = 0._wp ; syap = 0._wp ; sxxap = 0._wp ; syyap = 0._wp ; sxyap = 0._wp ! melt pond fraction |
---|
| 1068 | sxvp = 0._wp ; syvp = 0._wp ; sxxvp = 0._wp ; syyvp = 0._wp ; sxyvp = 0._wp ! melt pond volume |
---|
| 1069 | IF ( ln_pnd_lids ) THEN |
---|
| 1070 | sxvl = 0._wp; syvl = 0._wp ; sxxvl = 0._wp ; syyvl = 0._wp ; sxyvl = 0._wp ! melt pond lid volume |
---|
| 1071 | ENDIF |
---|
[8586] | 1072 | ENDIF |
---|
| 1073 | ENDIF |
---|
| 1074 | ! |
---|
[8817] | 1075 | ! !=====================================! |
---|
| 1076 | ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN !== write in the ice restart file ==! |
---|
| 1077 | ! !=====================================! |
---|
| 1078 | IF(lwp) WRITE(numout,*) '---- ice-adv-rst ----' |
---|
[8586] | 1079 | iter = kt + nn_fsbc - 1 ! ice restarts are written at kt == nitrst - nn_fsbc + 1 |
---|
| 1080 | ! |
---|
[8817] | 1081 | ! |
---|
| 1082 | ! In case Prather scheme is used for advection, write second order moments |
---|
| 1083 | ! ------------------------------------------------------------------------ |
---|
| 1084 | ! |
---|
| 1085 | ! ! ice thickness |
---|
[14103] | 1086 | CALL iom_rstput( iter, nitrst, numriw, 'sxice' , sxice ) |
---|
| 1087 | CALL iom_rstput( iter, nitrst, numriw, 'syice' , syice ) |
---|
| 1088 | CALL iom_rstput( iter, nitrst, numriw, 'sxxice', sxxice ) |
---|
| 1089 | CALL iom_rstput( iter, nitrst, numriw, 'syyice', syyice ) |
---|
| 1090 | CALL iom_rstput( iter, nitrst, numriw, 'sxyice', sxyice ) |
---|
[8817] | 1091 | ! ! snow thickness |
---|
[14103] | 1092 | CALL iom_rstput( iter, nitrst, numriw, 'sxsn' , sxsn ) |
---|
| 1093 | CALL iom_rstput( iter, nitrst, numriw, 'sysn' , sysn ) |
---|
| 1094 | CALL iom_rstput( iter, nitrst, numriw, 'sxxsn' , sxxsn ) |
---|
| 1095 | CALL iom_rstput( iter, nitrst, numriw, 'syysn' , syysn ) |
---|
| 1096 | CALL iom_rstput( iter, nitrst, numriw, 'sxysn' , sxysn ) |
---|
[11627] | 1097 | ! ! ice concentration |
---|
[14103] | 1098 | CALL iom_rstput( iter, nitrst, numriw, 'sxa' , sxa ) |
---|
| 1099 | CALL iom_rstput( iter, nitrst, numriw, 'sya' , sya ) |
---|
| 1100 | CALL iom_rstput( iter, nitrst, numriw, 'sxxa' , sxxa ) |
---|
| 1101 | CALL iom_rstput( iter, nitrst, numriw, 'syya' , syya ) |
---|
| 1102 | CALL iom_rstput( iter, nitrst, numriw, 'sxya' , sxya ) |
---|
[8817] | 1103 | ! ! ice salinity |
---|
[14103] | 1104 | CALL iom_rstput( iter, nitrst, numriw, 'sxsal' , sxsal ) |
---|
| 1105 | CALL iom_rstput( iter, nitrst, numriw, 'sysal' , sysal ) |
---|
| 1106 | CALL iom_rstput( iter, nitrst, numriw, 'sxxsal', sxxsal ) |
---|
| 1107 | CALL iom_rstput( iter, nitrst, numriw, 'syysal', syysal ) |
---|
| 1108 | CALL iom_rstput( iter, nitrst, numriw, 'sxysal', sxysal ) |
---|
[8817] | 1109 | ! ! ice age |
---|
[14103] | 1110 | CALL iom_rstput( iter, nitrst, numriw, 'sxage' , sxage ) |
---|
| 1111 | CALL iom_rstput( iter, nitrst, numriw, 'syage' , syage ) |
---|
| 1112 | CALL iom_rstput( iter, nitrst, numriw, 'sxxage', sxxage ) |
---|
| 1113 | CALL iom_rstput( iter, nitrst, numriw, 'syyage', syyage ) |
---|
| 1114 | CALL iom_rstput( iter, nitrst, numriw, 'sxyage', sxyage ) |
---|
[9271] | 1115 | ! ! snow layers heat content |
---|
| 1116 | DO jk = 1, nlay_s |
---|
| 1117 | WRITE(zchar1,'(I2.2)') jk |
---|
[13970] | 1118 | znam = 'sxc0'//'_l'//zchar1 ; z3d(:,:,:) = sxc0 (:,:,jk,:) |
---|
[14103] | 1119 | CALL iom_rstput( iter, nitrst, numriw, znam , z3d ) |
---|
[13970] | 1120 | znam = 'syc0'//'_l'//zchar1 ; z3d(:,:,:) = syc0 (:,:,jk,:) |
---|
[14103] | 1121 | CALL iom_rstput( iter, nitrst, numriw, znam , z3d ) |
---|
[13970] | 1122 | znam = 'sxxc0'//'_l'//zchar1 ; z3d(:,:,:) = sxxc0(:,:,jk,:) |
---|
[14103] | 1123 | CALL iom_rstput( iter, nitrst, numriw, znam , z3d ) |
---|
[13970] | 1124 | znam = 'syyc0'//'_l'//zchar1 ; z3d(:,:,:) = syyc0(:,:,jk,:) |
---|
[14103] | 1125 | CALL iom_rstput( iter, nitrst, numriw, znam , z3d ) |
---|
[13970] | 1126 | znam = 'sxyc0'//'_l'//zchar1 ; z3d(:,:,:) = sxyc0(:,:,jk,:) |
---|
[14103] | 1127 | CALL iom_rstput( iter, nitrst, numriw, znam , z3d ) |
---|
[9271] | 1128 | END DO |
---|
[8817] | 1129 | ! ! ice layers heat content |
---|
[9271] | 1130 | DO jk = 1, nlay_i |
---|
[8817] | 1131 | WRITE(zchar1,'(I2.2)') jk |
---|
[13970] | 1132 | znam = 'sxe'//'_l'//zchar1 ; z3d(:,:,:) = sxe (:,:,jk,:) |
---|
[14103] | 1133 | CALL iom_rstput( iter, nitrst, numriw, znam , z3d ) |
---|
[13970] | 1134 | znam = 'sye'//'_l'//zchar1 ; z3d(:,:,:) = sye (:,:,jk,:) |
---|
[14103] | 1135 | CALL iom_rstput( iter, nitrst, numriw, znam , z3d ) |
---|
[13970] | 1136 | znam = 'sxxe'//'_l'//zchar1 ; z3d(:,:,:) = sxxe(:,:,jk,:) |
---|
[14103] | 1137 | CALL iom_rstput( iter, nitrst, numriw, znam , z3d ) |
---|
[13970] | 1138 | znam = 'syye'//'_l'//zchar1 ; z3d(:,:,:) = syye(:,:,jk,:) |
---|
[14103] | 1139 | CALL iom_rstput( iter, nitrst, numriw, znam , z3d ) |
---|
[13970] | 1140 | znam = 'sxye'//'_l'//zchar1 ; z3d(:,:,:) = sxye(:,:,jk,:) |
---|
[14103] | 1141 | CALL iom_rstput( iter, nitrst, numriw, znam , z3d ) |
---|
[8586] | 1142 | END DO |
---|
[8817] | 1143 | ! |
---|
[14005] | 1144 | IF( ln_pnd_LEV .OR. ln_pnd_TOPO ) THEN ! melt pond fraction |
---|
[8817] | 1145 | CALL iom_rstput( iter, nitrst, numriw, 'sxap' , sxap ) |
---|
| 1146 | CALL iom_rstput( iter, nitrst, numriw, 'syap' , syap ) |
---|
| 1147 | CALL iom_rstput( iter, nitrst, numriw, 'sxxap', sxxap ) |
---|
| 1148 | CALL iom_rstput( iter, nitrst, numriw, 'syyap', syyap ) |
---|
| 1149 | CALL iom_rstput( iter, nitrst, numriw, 'sxyap', sxyap ) |
---|
| 1150 | ! ! melt pond volume |
---|
| 1151 | CALL iom_rstput( iter, nitrst, numriw, 'sxvp' , sxvp ) |
---|
| 1152 | CALL iom_rstput( iter, nitrst, numriw, 'syvp' , syvp ) |
---|
| 1153 | CALL iom_rstput( iter, nitrst, numriw, 'sxxvp', sxxvp ) |
---|
| 1154 | CALL iom_rstput( iter, nitrst, numriw, 'syyvp', syyvp ) |
---|
| 1155 | CALL iom_rstput( iter, nitrst, numriw, 'sxyvp', sxyvp ) |
---|
[13472] | 1156 | ! |
---|
| 1157 | IF ( ln_pnd_lids ) THEN ! melt pond lid volume |
---|
| 1158 | CALL iom_rstput( iter, nitrst, numriw, 'sxvl' , sxvl ) |
---|
| 1159 | CALL iom_rstput( iter, nitrst, numriw, 'syvl' , syvl ) |
---|
| 1160 | CALL iom_rstput( iter, nitrst, numriw, 'sxxvl', sxxvl ) |
---|
| 1161 | CALL iom_rstput( iter, nitrst, numriw, 'syyvl', syyvl ) |
---|
| 1162 | CALL iom_rstput( iter, nitrst, numriw, 'sxyvl', sxyvl ) |
---|
| 1163 | ENDIF |
---|
[8586] | 1164 | ENDIF |
---|
| 1165 | ! |
---|
| 1166 | ENDIF |
---|
| 1167 | ! |
---|
| 1168 | END SUBROUTINE adv_pra_rst |
---|
| 1169 | |
---|
[13618] | 1170 | SUBROUTINE icemax3D( pice , pmax ) |
---|
| 1171 | !!--------------------------------------------------------------------- |
---|
[14072] | 1172 | !! *** ROUTINE icemax3D *** |
---|
[13618] | 1173 | !! ** Purpose : compute the max of the 9 points around |
---|
| 1174 | !!---------------------------------------------------------------------- |
---|
[15033] | 1175 | REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: pice ! input |
---|
| 1176 | REAL(wp), DIMENSION(:,:,:), INTENT(out) :: pmax ! output |
---|
[15037] | 1177 | ! |
---|
| 1178 | REAL(wp), DIMENSION(Nis0:Nie0) :: zmax1, zmax2 |
---|
| 1179 | REAL(wp) :: zmax3 |
---|
[13618] | 1180 | INTEGER :: ji, jj, jl ! dummy loop indices |
---|
| 1181 | !!---------------------------------------------------------------------- |
---|
[15037] | 1182 | ! basic version: get the max of epsi20 + 9 neighbours |
---|
| 1183 | !!$ DO jl = 1, jpl |
---|
| 1184 | !!$ DO_2D( 0, 0, 0, 0 ) |
---|
| 1185 | !!$ pmax(ji,jj,jl) = MAX( epsi20, pice(ji-1,jj-1,jl), pice(ji,jj-1,jl), pice(ji+1,jj-1,jl), & |
---|
| 1186 | !!$ & pice(ji-1,jj ,jl), pice(ji,jj ,jl), pice(ji+1,jj ,jl), & |
---|
| 1187 | !!$ & pice(ji-1,jj+1,jl), pice(ji,jj+1,jl), pice(ji+1,jj+1,jl) ) |
---|
| 1188 | !!$ END_2D |
---|
| 1189 | !!$ END DO |
---|
| 1190 | ! optimized version : does a little bit more than 2 max of epsi20 + 3 neighbours |
---|
[13618] | 1191 | DO jl = 1, jpl |
---|
[15037] | 1192 | DO ji = Nis0, Nie0 |
---|
| 1193 | zmax1(ji) = MAX( epsi20, pice(ji,Njs0-1,jl), pice(ji-1,Njs0-1,jl), pice(ji+1,Njs0-1,jl) ) |
---|
| 1194 | zmax2(ji) = MAX( epsi20, pice(ji,Njs0 ,jl), pice(ji-1,Njs0 ,jl), pice(ji+1,Njs0 ,jl) ) |
---|
| 1195 | END DO |
---|
[15033] | 1196 | DO_2D( 0, 0, 0, 0 ) |
---|
[15037] | 1197 | zmax3 = MAX( epsi20, pice(ji,jj+1,jl), pice(ji-1,jj+1,jl), pice(ji+1,jj+1,jl) ) |
---|
| 1198 | pmax(ji,jj,jl) = MAX( epsi20, zmax1(ji), zmax2(ji), zmax3 ) |
---|
| 1199 | zmax1(ji) = zmax2(ji) |
---|
| 1200 | zmax2(ji) = zmax3 |
---|
[15033] | 1201 | END_2D |
---|
[13618] | 1202 | END DO |
---|
| 1203 | END SUBROUTINE icemax3D |
---|
[15049] | 1204 | |
---|
[13618] | 1205 | SUBROUTINE icemax4D( pice , pmax ) |
---|
| 1206 | !!--------------------------------------------------------------------- |
---|
[14072] | 1207 | !! *** ROUTINE icemax4D *** |
---|
[13618] | 1208 | !! ** Purpose : compute the max of the 9 points around |
---|
| 1209 | !!---------------------------------------------------------------------- |
---|
[15033] | 1210 | REAL(wp), DIMENSION(:,:,:,:), INTENT(in ) :: pice ! input |
---|
| 1211 | REAL(wp), DIMENSION(:,:,:,:), INTENT(out) :: pmax ! output |
---|
[15037] | 1212 | ! |
---|
| 1213 | REAL(wp), DIMENSION(Nis0:Nie0) :: zmax1, zmax2 |
---|
| 1214 | REAL(wp) :: zmax3 |
---|
[13618] | 1215 | INTEGER :: jlay, ji, jj, jk, jl ! dummy loop indices |
---|
| 1216 | !!---------------------------------------------------------------------- |
---|
| 1217 | jlay = SIZE( pice , 3 ) ! size of input arrays |
---|
[15037] | 1218 | ! basic version: get the max of epsi20 + 9 neighbours |
---|
| 1219 | !!$ DO jl = 1, jpl |
---|
| 1220 | !!$ DO jk = 1, jlay |
---|
| 1221 | !!$ DO_2D( 0, 0, 0, 0 ) |
---|
| 1222 | !!$ pmax(ji,jj,jk,jl) = MAX( epsi20, pice(ji-1,jj-1,jk,jl), pice(ji,jj-1,jk,jl), pice(ji+1,jj-1,jk,jl), & |
---|
| 1223 | !!$ & pice(ji-1,jj ,jk,jl), pice(ji,jj ,jk,jl), pice(ji+1,jj ,jk,jl), & |
---|
| 1224 | !!$ & pice(ji-1,jj+1,jk,jl), pice(ji,jj+1,jk,jl), pice(ji+1,jj+1,jk,jl) ) |
---|
| 1225 | !!$ END_2D |
---|
| 1226 | !!$ END DO |
---|
| 1227 | !!$ END DO |
---|
| 1228 | ! optimized version : does a little bit more than 2 max of epsi20 + 3 neighbours |
---|
[13618] | 1229 | DO jl = 1, jpl |
---|
| 1230 | DO jk = 1, jlay |
---|
[15037] | 1231 | DO ji = Nis0, Nie0 |
---|
| 1232 | zmax1(ji) = MAX( epsi20, pice(ji,Njs0-1,jk,jl), pice(ji-1,Njs0-1,jk,jl), pice(ji+1,Njs0-1,jk,jl) ) |
---|
| 1233 | zmax2(ji) = MAX( epsi20, pice(ji,Njs0 ,jk,jl), pice(ji-1,Njs0 ,jk,jl), pice(ji+1,Njs0 ,jk,jl) ) |
---|
| 1234 | END DO |
---|
[15033] | 1235 | DO_2D( 0, 0, 0, 0 ) |
---|
[15037] | 1236 | zmax3 = MAX( epsi20, pice(ji,jj+1,jk,jl), pice(ji-1,jj+1,jk,jl), pice(ji+1,jj+1,jk,jl) ) |
---|
| 1237 | pmax(ji,jj,jk,jl) = MAX( epsi20, zmax1(ji), zmax2(ji), zmax3 ) |
---|
| 1238 | zmax1(ji) = zmax2(ji) |
---|
| 1239 | zmax2(ji) = zmax3 |
---|
[15033] | 1240 | END_2D |
---|
[13618] | 1241 | END DO |
---|
| 1242 | END DO |
---|
| 1243 | END SUBROUTINE icemax4D |
---|
| 1244 | |
---|
[8586] | 1245 | #else |
---|
| 1246 | !!---------------------------------------------------------------------- |
---|
[9570] | 1247 | !! Default option Dummy module NO SI3 sea-ice model |
---|
[8586] | 1248 | !!---------------------------------------------------------------------- |
---|
| 1249 | #endif |
---|
| 1250 | |
---|
| 1251 | !!====================================================================== |
---|
| 1252 | END MODULE icedyn_adv_pra |
---|