[8586] | 1 | MODULE icedyn_adv_umx |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE icedyn_adv_umx *** |
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| 4 | !! sea-ice : advection using the ULTIMATE-MACHO scheme |
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| 5 | !!============================================================================== |
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| 6 | !! History : 3.6 ! 2014-11 (C. Rousset, G. Madec) 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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[10911] | 13 | !! ice_dyn_adv_umx : update the tracer fields |
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[8586] | 14 | !! ultimate_x(_y) : compute a tracer value at velocity points using ULTIMATE scheme at various orders |
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[10911] | 15 | !! macho : compute the fluxes |
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| 16 | !! nonosc_ice : limit the fluxes using a non-oscillatory algorithm |
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[8586] | 17 | !!---------------------------------------------------------------------- |
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| 18 | USE phycst ! physical constant |
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| 19 | USE dom_oce ! ocean domain |
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| 20 | USE sbc_oce , ONLY : nn_fsbc ! update frequency of surface boundary condition |
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| 21 | USE ice ! sea-ice variables |
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[10413] | 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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[10786] | 25 | USE iom ! I/O manager library |
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[8586] | 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_umx ! called by icedyn_adv.F90 |
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[10930] | 34 | ! |
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[10945] | 35 | INTEGER, PARAMETER :: np_advS = 1 ! advection for S and T: dVS/dt = -div( uVS ) => np_advS = 1 |
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| 36 | ! or dVS/dt = -div( uA * uHS / u ) => np_advS = 2 |
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| 37 | ! or dVS/dt = -div( uV * uS / u ) => np_advS = 3 |
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| 38 | INTEGER, PARAMETER :: np_limiter = 1 ! limiter: 1 = nonosc |
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| 39 | ! 2 = superbee |
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| 40 | ! 3 = h3 |
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| 41 | LOGICAL :: ll_upsxy = .TRUE. ! alternate directions for upstream |
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| 42 | LOGICAL :: ll_hoxy = .TRUE. ! alternate directions for high order |
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| 43 | LOGICAL :: ll_neg = .TRUE. ! if T interpolated at u/v points is negative or v_i < 1.e-6 |
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| 44 | ! then interpolate T at u/v points using the upstream scheme |
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| 45 | LOGICAL :: ll_prelim = .FALSE. ! prelimiter from: Zalesak(1979) eq. 14 => not well defined in 2D |
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[10930] | 46 | ! |
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[10945] | 47 | REAL(wp) :: z1_6 = 1._wp / 6._wp ! =1/6 |
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| 48 | REAL(wp) :: z1_120 = 1._wp / 120._wp ! =1/120 |
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[10930] | 49 | ! |
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[10945] | 50 | INTEGER, ALLOCATABLE, DIMENSION(:,:,:) :: imsk_small, jmsk_small |
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[10930] | 51 | ! |
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[8586] | 52 | !! * Substitutions |
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| 53 | # include "vectopt_loop_substitute.h90" |
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| 54 | !!---------------------------------------------------------------------- |
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[9598] | 55 | !! NEMO/ICE 4.0 , NEMO Consortium (2018) |
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[10069] | 56 | !! $Id$ |
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[10413] | 57 | !! Software governed by the CeCILL licence (./LICENSE) |
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[8586] | 58 | !!---------------------------------------------------------------------- |
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| 59 | CONTAINS |
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| 60 | |
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[10911] | 61 | SUBROUTINE ice_dyn_adv_umx( kn_umx, kt, pu_ice, pv_ice, ph_i, ph_s, ph_ip, & |
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[13284] | 62 | & 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] | 63 | !!---------------------------------------------------------------------- |
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| 64 | !! *** ROUTINE ice_dyn_adv_umx *** |
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| 65 | !! |
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| 66 | !! ** Purpose : Compute the now trend due to total advection of |
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| 67 | !! tracers and add it to the general trend of tracer equations |
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| 68 | !! using an "Ultimate-Macho" scheme |
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| 69 | !! |
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| 70 | !! Reference : Leonard, B.P., 1991, Comput. Methods Appl. Mech. Eng., 88, 17-74. |
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| 71 | !!---------------------------------------------------------------------- |
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[10413] | 72 | INTEGER , INTENT(in ) :: kn_umx ! order of the scheme (1-5=UM or 20=CEN2) |
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[8586] | 73 | INTEGER , INTENT(in ) :: kt ! time step |
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| 74 | REAL(wp), DIMENSION(:,:) , INTENT(in ) :: pu_ice ! ice i-velocity |
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| 75 | REAL(wp), DIMENSION(:,:) , INTENT(in ) :: pv_ice ! ice j-velocity |
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[10911] | 76 | REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: ph_i ! ice thickness |
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| 77 | REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: ph_s ! snw thickness |
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| 78 | REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: ph_ip ! ice pond thickness |
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[8586] | 79 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pato_i ! open water area |
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| 80 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_i ! ice volume |
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| 81 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_s ! snw volume |
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| 82 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: psv_i ! salt content |
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| 83 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: poa_i ! age content |
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| 84 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pa_i ! ice concentration |
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[11627] | 85 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pa_ip ! melt pond concentration |
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[8586] | 86 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_ip ! melt pond volume |
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[13284] | 87 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_il ! melt pond lid volume |
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[8586] | 88 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_s ! snw heat content |
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| 89 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_i ! ice heat content |
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| 90 | ! |
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| 91 | INTEGER :: ji, jj, jk, jl, jt ! dummy loop indices |
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[10413] | 92 | INTEGER :: icycle ! number of sub-timestep for the advection |
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| 93 | REAL(wp) :: zamsk ! 1 if advection of concentration, 0 if advection of other tracers |
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[13589] | 94 | REAL(wp) :: zdt, z1_dt, zvi_cen |
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[13284] | 95 | REAL(wp), DIMENSION(1) :: zcflprv, zcflnow ! for global communication |
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| 96 | REAL(wp), DIMENSION(jpi,jpj) :: zudy, zvdx, zcu_box, zcv_box |
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| 97 | REAL(wp), DIMENSION(jpi,jpj) :: zati1, zati2 |
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| 98 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: zu_cat, zv_cat |
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| 99 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: zua_ho, zva_ho, zua_ups, zva_ups |
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| 100 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: z1_ai , z1_aip, zhvar |
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| 101 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: zhi_max, zhs_max, zhip_max, zs_i, zsi_max |
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| 102 | REAL(wp), DIMENSION(jpi,jpj,nlay_i,jpl) :: ze_i, zei_max |
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| 103 | REAL(wp), DIMENSION(jpi,jpj,nlay_s,jpl) :: ze_s, zes_max |
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[10945] | 104 | ! |
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| 105 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: zuv_ho, zvv_ho, zuv_ups, zvv_ups, z1_vi, z1_vs |
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[13589] | 106 | !! diagnostics |
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| 107 | REAL(wp), DIMENSION(jpi,jpj) :: zdiag_adv_mass, zdiag_adv_salt, zdiag_adv_heat |
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[8586] | 108 | !!---------------------------------------------------------------------- |
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| 109 | ! |
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| 110 | IF( kt == nit000 .AND. lwp ) WRITE(numout,*) '-- ice_dyn_adv_umx: Ultimate-Macho advection scheme' |
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| 111 | ! |
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[13284] | 112 | ! --- Record max of the surrounding 9-pts (for call Hbig) --- ! |
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| 113 | ! thickness and salinity |
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| 114 | WHERE( pv_i(:,:,:) >= epsi10 ) ; zs_i(:,:,:) = psv_i(:,:,:) / pv_i(:,:,:) |
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| 115 | ELSEWHERE ; zs_i(:,:,:) = 0._wp |
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| 116 | END WHERE |
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[13617] | 117 | CALL icemax3D( ph_i , zhi_max ) |
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| 118 | CALL icemax3D( ph_s , zhs_max ) |
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| 119 | CALL icemax3D( ph_ip, zhip_max) |
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| 120 | CALL icemax3D( zs_i , zsi_max ) |
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[13284] | 121 | CALL lbc_lnk_multi( 'icedyn_adv_umx', zhi_max, 'T', 1., zhs_max, 'T', 1., zhip_max, 'T', 1., zsi_max, 'T', 1. ) |
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[13617] | 122 | |
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[13284] | 123 | ! enthalpies |
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| 124 | DO jk = 1, nlay_i |
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| 125 | WHERE( pv_i(:,:,:) >= epsi10 ) ; ze_i(:,:,jk,:) = pe_i(:,:,jk,:) / pv_i(:,:,:) |
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| 126 | ELSEWHERE ; ze_i(:,:,jk,:) = 0._wp |
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| 127 | END WHERE |
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| 128 | END DO |
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| 129 | DO jk = 1, nlay_s |
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| 130 | WHERE( pv_s(:,:,:) >= epsi10 ) ; ze_s(:,:,jk,:) = pe_s(:,:,jk,:) / pv_s(:,:,:) |
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| 131 | ELSEWHERE ; ze_s(:,:,jk,:) = 0._wp |
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| 132 | END WHERE |
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[13617] | 133 | END DO |
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| 134 | CALL icemax4D( ze_i , zei_max ) |
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| 135 | CALL icemax4D( ze_s , zes_max ) |
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[13566] | 136 | CALL lbc_lnk( 'icedyn_adv_umx', zei_max, 'T', 1. ) |
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| 137 | CALL lbc_lnk( 'icedyn_adv_umx', zes_max, 'T', 1. ) |
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[10911] | 138 | ! |
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| 139 | ! --- If ice drift is too fast, use subtime steps for advection (CFL test for stability) --- ! |
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| 140 | ! Note: the advection split is applied at the next time-step in order to avoid blocking global comm. |
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| 141 | ! this should not affect too much the stability |
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[10425] | 142 | zcflnow(1) = MAXVAL( ABS( pu_ice(:,:) ) * rdt_ice * r1_e1u(:,:) ) |
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| 143 | zcflnow(1) = MAX( zcflnow(1), MAXVAL( ABS( pv_ice(:,:) ) * rdt_ice * r1_e2v(:,:) ) ) |
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| 144 | |
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| 145 | ! non-blocking global communication send zcflnow and receive zcflprv |
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| 146 | CALL mpp_delay_max( 'icedyn_adv_umx', 'cflice', zcflnow(:), zcflprv(:), kt == nitend - nn_fsbc + 1 ) |
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[8586] | 147 | |
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[10425] | 148 | IF( zcflprv(1) > .5 ) THEN ; icycle = 2 |
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| 149 | ELSE ; icycle = 1 |
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[8586] | 150 | ENDIF |
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[10413] | 151 | zdt = rdt_ice / REAL(icycle) |
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[13589] | 152 | z1_dt = 1._wp / zdt |
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| 153 | |
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[8586] | 154 | ! --- transport --- ! |
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| 155 | zudy(:,:) = pu_ice(:,:) * e2u(:,:) |
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| 156 | zvdx(:,:) = pv_ice(:,:) * e1v(:,:) |
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[10945] | 157 | ! |
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| 158 | ! setup transport for each ice cat |
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| 159 | DO jl = 1, jpl |
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| 160 | zu_cat(:,:,jl) = zudy(:,:) |
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| 161 | zv_cat(:,:,jl) = zvdx(:,:) |
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| 162 | END DO |
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| 163 | ! |
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[8586] | 164 | ! --- define velocity for advection: u*grad(H) --- ! |
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| 165 | DO jj = 2, jpjm1 |
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| 166 | DO ji = fs_2, fs_jpim1 |
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| 167 | IF ( pu_ice(ji,jj) * pu_ice(ji-1,jj) <= 0._wp ) THEN ; zcu_box(ji,jj) = 0._wp |
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| 168 | ELSEIF( pu_ice(ji,jj) > 0._wp ) THEN ; zcu_box(ji,jj) = pu_ice(ji-1,jj) |
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| 169 | ELSE ; zcu_box(ji,jj) = pu_ice(ji ,jj) |
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| 170 | ENDIF |
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| 171 | |
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| 172 | IF ( pv_ice(ji,jj) * pv_ice(ji,jj-1) <= 0._wp ) THEN ; zcv_box(ji,jj) = 0._wp |
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| 173 | ELSEIF( pv_ice(ji,jj) > 0._wp ) THEN ; zcv_box(ji,jj) = pv_ice(ji,jj-1) |
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| 174 | ELSE ; zcv_box(ji,jj) = pv_ice(ji,jj ) |
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| 175 | ENDIF |
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| 176 | END DO |
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| 177 | END DO |
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| 178 | |
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| 179 | !---------------! |
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| 180 | !== advection ==! |
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| 181 | !---------------! |
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[10413] | 182 | DO jt = 1, icycle |
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| 183 | |
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[13589] | 184 | ! diagnostics |
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| 185 | zdiag_adv_mass(:,:) = SUM( pv_i(:,:,:) , dim=3 ) * rhoi + SUM( pv_s(:,:,:) , dim=3 ) * rhos |
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| 186 | zdiag_adv_salt(:,:) = SUM( psv_i(:,:,:) , dim=3 ) * rhoi |
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| 187 | zdiag_adv_heat(:,:) = - SUM(SUM( pe_i(:,:,1:nlay_i,:) , dim=4 ), dim=3 ) & |
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| 188 | & - SUM(SUM( pe_s(:,:,1:nlay_s,:) , dim=4 ), dim=3 ) |
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| 189 | |
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[10439] | 190 | ! record at_i before advection (for open water) |
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| 191 | zati1(:,:) = SUM( pa_i(:,:,:), dim=3 ) |
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[10413] | 192 | |
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[10439] | 193 | ! inverse of A and Ap |
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[10425] | 194 | WHERE( pa_i(:,:,:) >= epsi20 ) ; z1_ai(:,:,:) = 1._wp / pa_i(:,:,:) |
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| 195 | ELSEWHERE ; z1_ai(:,:,:) = 0. |
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| 196 | END WHERE |
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| 197 | WHERE( pa_ip(:,:,:) >= epsi20 ) ; z1_aip(:,:,:) = 1._wp / pa_ip(:,:,:) |
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| 198 | ELSEWHERE ; z1_aip(:,:,:) = 0. |
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| 199 | END WHERE |
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| 200 | ! |
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[10930] | 201 | ! setup a mask where advection will be upstream |
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| 202 | IF( ll_neg ) THEN |
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[10945] | 203 | IF( .NOT. ALLOCATED(imsk_small) ) ALLOCATE( imsk_small(jpi,jpj,jpl) ) |
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| 204 | IF( .NOT. ALLOCATED(jmsk_small) ) ALLOCATE( jmsk_small(jpi,jpj,jpl) ) |
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[10930] | 205 | DO jl = 1, jpl |
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| 206 | DO jj = 1, jpjm1 |
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| 207 | DO ji = 1, jpim1 |
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| 208 | zvi_cen = 0.5_wp * ( pv_i(ji+1,jj,jl) + pv_i(ji,jj,jl) ) |
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[10945] | 209 | IF( zvi_cen < epsi06) THEN ; imsk_small(ji,jj,jl) = 0 |
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| 210 | ELSE ; imsk_small(ji,jj,jl) = 1 ; ENDIF |
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[10930] | 211 | zvi_cen = 0.5_wp * ( pv_i(ji,jj+1,jl) + pv_i(ji,jj,jl) ) |
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[10945] | 212 | IF( zvi_cen < epsi06) THEN ; jmsk_small(ji,jj,jl) = 0 |
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| 213 | ELSE ; jmsk_small(ji,jj,jl) = 1 ; ENDIF |
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[10930] | 214 | END DO |
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| 215 | END DO |
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| 216 | END DO |
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| 217 | ENDIF |
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| 218 | ! |
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| 219 | ! ----------------------- ! |
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| 220 | ! ==> start advection <== ! |
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| 221 | ! ----------------------- ! |
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| 222 | ! |
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[10911] | 223 | !== Ice area ==! |
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[10425] | 224 | zamsk = 1._wp |
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[10945] | 225 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy, zvdx, zu_cat , zv_cat , zcu_box, zcv_box, & |
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[10911] | 226 | & pa_i, pa_i, zua_ups, zva_ups, zua_ho , zva_ho ) |
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[10945] | 227 | ! |
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| 228 | ! ! --------------------------------- ! |
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| 229 | IF( np_advS == 1 ) THEN ! -- advection form: -div( uVS ) -- ! |
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| 230 | ! ! --------------------------------- ! |
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| 231 | zamsk = 0._wp |
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[10911] | 232 | !== Ice volume ==! |
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| 233 | zhvar(:,:,:) = pv_i(:,:,:) * z1_ai(:,:,:) |
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| 234 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy , zvdx, zua_ho , zva_ho , zcu_box, zcv_box, & |
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| 235 | & zhvar, pv_i, zua_ups, zva_ups ) |
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| 236 | !== Snw volume ==! |
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| 237 | zhvar(:,:,:) = pv_s(:,:,:) * z1_ai(:,:,:) |
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| 238 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy , zvdx, zua_ho , zva_ho , zcu_box, zcv_box, & |
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| 239 | & zhvar, pv_s, zua_ups, zva_ups ) |
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| 240 | ! |
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[10945] | 241 | zamsk = 1._wp |
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[10911] | 242 | !== Salt content ==! |
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[10945] | 243 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy , zvdx , zu_cat, zv_cat, zcu_box, zcv_box, & |
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| 244 | & psv_i, psv_i ) |
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| 245 | !== Ice heat content ==! |
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| 246 | DO jk = 1, nlay_i |
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| 247 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy , zvdx , zu_cat, zv_cat, zcu_box, zcv_box, & |
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| 248 | & pe_i(:,:,jk,:), pe_i(:,:,jk,:) ) |
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| 249 | END DO |
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| 250 | !== Snw heat content ==! |
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| 251 | DO jk = 1, nlay_s |
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| 252 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy , zvdx , zu_cat, zv_cat, zcu_box, zcv_box, & |
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| 253 | & pe_s(:,:,jk,:), pe_s(:,:,jk,:) ) |
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| 254 | END DO |
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| 255 | ! |
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| 256 | ! ! ------------------------------------------ ! |
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| 257 | ELSEIF( np_advS == 2 ) THEN ! -- advection form: -div( uA * uHS / u ) -- ! |
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| 258 | ! ! ------------------------------------------ ! |
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| 259 | zamsk = 0._wp |
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| 260 | !== Ice volume ==! |
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| 261 | zhvar(:,:,:) = pv_i(:,:,:) * z1_ai(:,:,:) |
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| 262 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy , zvdx, zua_ho , zva_ho , zcu_box, zcv_box, & |
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| 263 | & zhvar, pv_i, zua_ups, zva_ups ) |
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| 264 | !== Snw volume ==! |
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| 265 | zhvar(:,:,:) = pv_s(:,:,:) * z1_ai(:,:,:) |
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| 266 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy , zvdx, zua_ho , zva_ho , zcu_box, zcv_box, & |
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| 267 | & zhvar, pv_s, zua_ups, zva_ups ) |
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| 268 | !== Salt content ==! |
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[10911] | 269 | zhvar(:,:,:) = psv_i(:,:,:) * z1_ai(:,:,:) |
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| 270 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy , zvdx , zua_ho , zva_ho , zcu_box, zcv_box, & |
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| 271 | & zhvar, psv_i, zua_ups, zva_ups ) |
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| 272 | !== Ice heat content ==! |
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| 273 | DO jk = 1, nlay_i |
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| 274 | zhvar(:,:,:) = pe_i(:,:,jk,:) * z1_ai(:,:,:) |
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| 275 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy , zvdx, zua_ho, zva_ho, zcu_box, zcv_box, & |
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| 276 | & zhvar, pe_i(:,:,jk,:), zua_ups, zva_ups ) |
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| 277 | END DO |
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| 278 | !== Snw heat content ==! |
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| 279 | DO jk = 1, nlay_s |
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| 280 | zhvar(:,:,:) = pe_s(:,:,jk,:) * z1_ai(:,:,:) |
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| 281 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy , zvdx, zua_ho, zva_ho, zcu_box, zcv_box, & |
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| 282 | & zhvar, pe_s(:,:,jk,:), zua_ups, zva_ups ) |
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| 283 | END DO |
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| 284 | ! |
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[10945] | 285 | ! ! ----------------------------------------- ! |
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| 286 | ELSEIF( np_advS == 3 ) THEN ! -- advection form: -div( uV * uS / u ) -- ! |
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| 287 | ! ! ----------------------------------------- ! |
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| 288 | zamsk = 0._wp |
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| 289 | ! |
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| 290 | ALLOCATE( zuv_ho (jpi,jpj,jpl), zvv_ho (jpi,jpj,jpl), & |
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| 291 | & zuv_ups(jpi,jpj,jpl), zvv_ups(jpi,jpj,jpl), z1_vi(jpi,jpj,jpl), z1_vs(jpi,jpj,jpl) ) |
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| 292 | ! |
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[10911] | 293 | ! inverse of Vi |
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| 294 | WHERE( pv_i(:,:,:) >= epsi20 ) ; z1_vi(:,:,:) = 1._wp / pv_i(:,:,:) |
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| 295 | ELSEWHERE ; z1_vi(:,:,:) = 0. |
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| 296 | END WHERE |
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| 297 | ! inverse of Vs |
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| 298 | WHERE( pv_s(:,:,:) >= epsi20 ) ; z1_vs(:,:,:) = 1._wp / pv_s(:,:,:) |
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| 299 | ELSEWHERE ; z1_vs(:,:,:) = 0. |
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| 300 | END WHERE |
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| 301 | ! |
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| 302 | ! It is important to first calculate the ice fields and then the snow fields (because we use the same arrays) |
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| 303 | ! |
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| 304 | !== Ice volume ==! |
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| 305 | zuv_ups = zua_ups |
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| 306 | zvv_ups = zva_ups |
---|
| 307 | zhvar(:,:,:) = pv_i(:,:,:) * z1_ai(:,:,:) |
---|
| 308 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy , zvdx, zua_ho , zva_ho , zcu_box, zcv_box, & |
---|
| 309 | & zhvar, pv_i, zuv_ups, zvv_ups, zuv_ho , zvv_ho ) |
---|
| 310 | !== Salt content ==! |
---|
| 311 | zhvar(:,:,:) = psv_i(:,:,:) * z1_vi(:,:,:) |
---|
| 312 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy , zvdx , zuv_ho , zvv_ho , zcu_box, zcv_box, & |
---|
| 313 | & zhvar, psv_i, zuv_ups, zvv_ups ) |
---|
| 314 | !== Ice heat content ==! |
---|
| 315 | DO jk = 1, nlay_i |
---|
| 316 | zhvar(:,:,:) = pe_i(:,:,jk,:) * z1_vi(:,:,:) |
---|
| 317 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy , zvdx, zuv_ho, zvv_ho, zcu_box, zcv_box, & |
---|
| 318 | & zhvar, pe_i(:,:,jk,:), zuv_ups, zvv_ups ) |
---|
| 319 | END DO |
---|
| 320 | !== Snow volume ==! |
---|
| 321 | zuv_ups = zua_ups |
---|
| 322 | zvv_ups = zva_ups |
---|
| 323 | zhvar(:,:,:) = pv_s(:,:,:) * z1_ai(:,:,:) |
---|
| 324 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy , zvdx, zua_ho , zva_ho , zcu_box, zcv_box, & |
---|
| 325 | & zhvar, pv_s, zuv_ups, zvv_ups, zuv_ho , zvv_ho ) |
---|
| 326 | !== Snw heat content ==! |
---|
| 327 | DO jk = 1, nlay_s |
---|
| 328 | zhvar(:,:,:) = pe_s(:,:,jk,:) * z1_vs(:,:,:) |
---|
| 329 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy , zvdx, zuv_ho, zvv_ho, zcu_box, zcv_box, & |
---|
| 330 | & zhvar, pe_s(:,:,jk,:), zuv_ups, zvv_ups ) |
---|
| 331 | END DO |
---|
| 332 | ! |
---|
[10945] | 333 | DEALLOCATE( zuv_ho, zvv_ho, zuv_ups, zvv_ups, z1_vi, z1_vs ) |
---|
| 334 | ! |
---|
[10911] | 335 | ENDIF |
---|
[10425] | 336 | ! |
---|
[10911] | 337 | !== Ice age ==! |
---|
[11612] | 338 | zamsk = 1._wp |
---|
| 339 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy , zvdx , zu_cat, zv_cat, zcu_box, zcv_box, & |
---|
| 340 | & poa_i, poa_i ) |
---|
[10786] | 341 | ! |
---|
[10911] | 342 | !== melt ponds ==! |
---|
[13284] | 343 | IF ( ln_pnd_LEV ) THEN |
---|
[11627] | 344 | ! concentration |
---|
[10425] | 345 | zamsk = 1._wp |
---|
[10945] | 346 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy , zvdx , zu_cat , zv_cat , zcu_box, zcv_box, & |
---|
[10911] | 347 | & pa_ip, pa_ip, zua_ups, zva_ups, zua_ho , zva_ho ) |
---|
[10945] | 348 | ! volume |
---|
[10425] | 349 | zamsk = 0._wp |
---|
[10475] | 350 | zhvar(:,:,:) = pv_ip(:,:,:) * z1_aip(:,:,:) |
---|
[10911] | 351 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy , zvdx , zua_ho , zva_ho , zcu_box, zcv_box, & |
---|
| 352 | & zhvar, pv_ip, zua_ups, zva_ups ) |
---|
[13284] | 353 | ! lid |
---|
| 354 | IF ( ln_pnd_lids ) THEN |
---|
| 355 | zamsk = 0._wp |
---|
| 356 | zhvar(:,:,:) = pv_il(:,:,:) * z1_aip(:,:,:) |
---|
| 357 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy , zvdx , zua_ho , zva_ho , zcu_box, zcv_box, & |
---|
| 358 | & zhvar, pv_il, zua_ups, zva_ups ) |
---|
| 359 | ENDIF |
---|
[10425] | 360 | ENDIF |
---|
[10418] | 361 | ! |
---|
[13566] | 362 | ! --- Lateral boundary conditions --- ! |
---|
| 363 | IF ( ln_pnd_LEV .AND. ln_pnd_lids ) THEN |
---|
| 364 | CALL lbc_lnk_multi( 'icedyn_adv_umx', pa_i,'T',1._wp, pv_i,'T',1._wp, pv_s,'T',1._wp, psv_i,'T',1._wp, poa_i,'T',1._wp & |
---|
| 365 | & , pa_ip,'T',1._wp, pv_ip,'T',1._wp, pv_il,'T',1._wp ) |
---|
| 366 | ELSEIF( ln_pnd_LEV .AND. .NOT.ln_pnd_lids ) THEN |
---|
| 367 | CALL lbc_lnk_multi( 'icedyn_adv_umx', pa_i,'T',1._wp, pv_i,'T',1._wp, pv_s,'T',1._wp, psv_i,'T',1._wp, poa_i,'T',1._wp & |
---|
| 368 | & , pa_ip,'T',1._wp, pv_ip,'T',1._wp ) |
---|
| 369 | ELSE |
---|
| 370 | CALL lbc_lnk_multi( 'icedyn_adv_umx', pa_i,'T',1._wp, pv_i,'T',1._wp, pv_s,'T',1._wp, psv_i,'T',1._wp, poa_i,'T',1._wp ) |
---|
| 371 | ENDIF |
---|
| 372 | CALL lbc_lnk( 'icedyn_adv_umx', pe_i, 'T', 1._wp ) |
---|
| 373 | CALL lbc_lnk( 'icedyn_adv_umx', pe_s, 'T', 1._wp ) |
---|
| 374 | ! |
---|
[10911] | 375 | !== Open water area ==! |
---|
[10439] | 376 | zati2(:,:) = SUM( pa_i(:,:,:), dim=3 ) |
---|
| 377 | DO jj = 2, jpjm1 |
---|
| 378 | DO ji = fs_2, fs_jpim1 |
---|
[10911] | 379 | pato_i(ji,jj) = pato_i(ji,jj) - ( zati2(ji,jj) - zati1(ji,jj) ) & |
---|
[10439] | 380 | & - ( zudy(ji,jj) - zudy(ji-1,jj) + zvdx(ji,jj) - zvdx(ji,jj-1) ) * r1_e1e2t(ji,jj) * zdt |
---|
[10413] | 381 | END DO |
---|
[10439] | 382 | END DO |
---|
[13566] | 383 | CALL lbc_lnk( 'icedyn_adv_umx', pato_i, 'T', 1._wp ) |
---|
[10418] | 384 | ! |
---|
[13589] | 385 | ! --- diagnostics --- ! |
---|
| 386 | diag_adv_mass(:,:) = diag_adv_mass(:,:) + ( SUM( pv_i(:,:,:) , dim=3 ) * rhoi + SUM( pv_s(:,:,:) , dim=3 ) * rhos & |
---|
| 387 | & - zdiag_adv_mass(:,:) ) * z1_dt |
---|
| 388 | diag_adv_salt(:,:) = diag_adv_salt(:,:) + ( SUM( psv_i(:,:,:) , dim=3 ) * rhoi & |
---|
| 389 | & - zdiag_adv_salt(:,:) ) * z1_dt |
---|
| 390 | diag_adv_heat(:,:) = diag_adv_heat(:,:) + ( - SUM(SUM( pe_i(:,:,1:nlay_i,:) , dim=4 ), dim=3 ) & |
---|
| 391 | & - SUM(SUM( pe_s(:,:,1:nlay_s,:) , dim=4 ), dim=3 ) & |
---|
| 392 | & - zdiag_adv_heat(:,:) ) * z1_dt |
---|
| 393 | ! |
---|
[10911] | 394 | ! --- Ensure non-negative fields and in-bound thicknesses --- ! |
---|
| 395 | ! Remove negative values (conservation is ensured) |
---|
| 396 | ! (because advected fields are not perfectly bounded and tiny negative values can occur, e.g. -1.e-20) |
---|
[13284] | 397 | 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 ) |
---|
[10911] | 398 | ! |
---|
[12197] | 399 | ! --- Make sure ice thickness is not too big --- ! |
---|
| 400 | ! (because ice thickness can be too large where ice concentration is very small) |
---|
[13284] | 401 | CALL Hbig( zdt, zhi_max, zhs_max, zhip_max, zsi_max, zes_max, zei_max, & |
---|
| 402 | & pv_i, pv_s, pa_i, pa_ip, pv_ip, psv_i, pe_s, pe_i ) |
---|
[12197] | 403 | ! |
---|
| 404 | ! --- Ensure snow load is not too big --- ! |
---|
| 405 | CALL Hsnow( zdt, pv_i, pv_s, pa_i, pa_ip, pe_s ) |
---|
| 406 | ! |
---|
[8586] | 407 | END DO |
---|
| 408 | ! |
---|
| 409 | END SUBROUTINE ice_dyn_adv_umx |
---|
[9929] | 410 | |
---|
[8586] | 411 | |
---|
[10911] | 412 | SUBROUTINE adv_umx( pamsk, kn_umx, jt, kt, pdt, pu, pv, puc, pvc, pubox, pvbox, & |
---|
| 413 | & pt, ptc, pua_ups, pva_ups, pua_ho, pva_ho ) |
---|
[8586] | 414 | !!---------------------------------------------------------------------- |
---|
| 415 | !! *** ROUTINE adv_umx *** |
---|
| 416 | !! |
---|
| 417 | !! ** Purpose : Compute the now trend due to total advection of |
---|
[10446] | 418 | !! tracers and add it to the general trend of tracer equations |
---|
[8586] | 419 | !! |
---|
[10911] | 420 | !! ** Method : - calculate upstream fluxes and upstream solution for tracers V/A(=H) etc |
---|
[10446] | 421 | !! - calculate tracer H at u and v points (Ultimate) |
---|
[10911] | 422 | !! - calculate the high order fluxes using alterning directions (Macho) |
---|
[10519] | 423 | !! - apply a limiter on the fluxes (nonosc_ice) |
---|
[10911] | 424 | !! - convert this tracer flux to a "volume" flux (uH -> uV) |
---|
| 425 | !! - apply a limiter a second time on the volumes fluxes (nonosc_ice) |
---|
| 426 | !! - calculate the high order solution for V |
---|
[8586] | 427 | !! |
---|
[10911] | 428 | !! ** Action : solve 3 equations => a) dA/dt = -div(uA) |
---|
| 429 | !! b) dV/dt = -div(uV) using dH/dt = -u.grad(H) |
---|
| 430 | !! c) dVS/dt = -div(uVS) using either dHS/dt = -u.grad(HS) or dS/dt = -u.grad(S) |
---|
[10446] | 431 | !! |
---|
[10911] | 432 | !! in eq. b), - fluxes uH are evaluated (with UMx) and limited with nonosc_ice. This step is necessary to get a good H. |
---|
| 433 | !! - then we convert this flux to a "volume" flux this way => uH * uA / u |
---|
| 434 | !! where uA is the flux from eq. a) |
---|
| 435 | !! this "volume" flux is also limited with nonosc_ice (otherwise overshoots can occur) |
---|
| 436 | !! - at last we estimate dV/dt = -div(uH * uA / u) |
---|
| 437 | !! |
---|
| 438 | !! in eq. c), one can solve the equation for S (ln_advS=T), then dVS/dt = -div(uV * uS / u) |
---|
| 439 | !! or for HS (ln_advS=F), then dVS/dt = -div(uA * uHS / u) |
---|
| 440 | !! |
---|
| 441 | !! ** Note : - this method can lead to tiny negative V (-1.e-20) => set it to 0 while conserving mass etc. |
---|
| 442 | !! - At the ice edge, Ultimate scheme can lead to: |
---|
| 443 | !! 1) negative interpolated tracers at u-v points |
---|
| 444 | !! 2) non-zero interpolated tracers at u-v points eventhough there is no ice and velocity is outward |
---|
| 445 | !! Solution for 1): apply an upstream scheme when it occurs. A better solution would be to degrade the order of |
---|
| 446 | !! the scheme automatically by applying a mask of the ice cover inside Ultimate (not done). |
---|
| 447 | !! Solution for 2): we set it to 0 in this case |
---|
[10446] | 448 | !! - Eventhough 1D tests give very good results (typically the one from Schar & Smolarkiewiecz), the 2D is less good. |
---|
| 449 | !! Large values of H can appear for very small ice concentration, and when it does it messes the things up since we |
---|
[10911] | 450 | !! work on H (and not V). It is partly related to the multi-category approach |
---|
[10446] | 451 | !! Therefore, after advection we limit the thickness to the largest value of the 9-points around (only if ice |
---|
[13566] | 452 | !! concentration is small). We also limit S and T. |
---|
[8586] | 453 | !!---------------------------------------------------------------------- |
---|
[10911] | 454 | REAL(wp) , INTENT(in ) :: pamsk ! advection of concentration (1) or other tracers (0) |
---|
| 455 | INTEGER , INTENT(in ) :: kn_umx ! order of the scheme (1-5=UM or 20=CEN2) |
---|
| 456 | INTEGER , INTENT(in ) :: jt ! number of sub-iteration |
---|
| 457 | INTEGER , INTENT(in ) :: kt ! number of iteration |
---|
| 458 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
| 459 | REAL(wp), DIMENSION(:,: ) , INTENT(in ) :: pu , pv ! 2 ice velocity components => u*e2 |
---|
| 460 | REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: puc , pvc ! 2 ice velocity components => u*e2 or u*a*e2u |
---|
| 461 | REAL(wp), DIMENSION(:,: ) , INTENT(in ) :: pubox, pvbox ! upstream velocity |
---|
| 462 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pt ! tracer field |
---|
| 463 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: ptc ! tracer content field |
---|
| 464 | REAL(wp), DIMENSION(jpi,jpj,jpl), INTENT(inout), OPTIONAL :: pua_ups, pva_ups ! upstream u*a fluxes |
---|
| 465 | REAL(wp), DIMENSION(jpi,jpj,jpl), INTENT( out), OPTIONAL :: pua_ho, pva_ho ! high order u*a fluxes |
---|
[8586] | 466 | ! |
---|
[10425] | 467 | INTEGER :: ji, jj, jl ! dummy loop indices |
---|
[8586] | 468 | REAL(wp) :: ztra ! local scalar |
---|
[10446] | 469 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: zfu_ho , zfv_ho , zpt |
---|
[10439] | 470 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: zfu_ups, zfv_ups, zt_ups |
---|
[8586] | 471 | !!---------------------------------------------------------------------- |
---|
| 472 | ! |
---|
[10446] | 473 | ! Upstream (_ups) fluxes |
---|
| 474 | ! ----------------------- |
---|
| 475 | CALL upstream( pamsk, jt, kt, pdt, pt, pu, pv, zt_ups, zfu_ups, zfv_ups ) |
---|
| 476 | |
---|
| 477 | ! High order (_ho) fluxes |
---|
| 478 | ! ----------------------- |
---|
| 479 | SELECT CASE( kn_umx ) |
---|
| 480 | ! |
---|
| 481 | CASE ( 20 ) !== centered second order ==! |
---|
| 482 | ! |
---|
[10475] | 483 | CALL cen2( pamsk, jt, kt, pdt, pt, pu, pv, zt_ups, zfu_ups, zfv_ups, zfu_ho, zfv_ho ) |
---|
[10446] | 484 | ! |
---|
| 485 | CASE ( 1:5 ) !== 1st to 5th order ULTIMATE-MACHO scheme ==! |
---|
| 486 | ! |
---|
[10475] | 487 | CALL macho( pamsk, kn_umx, jt, kt, pdt, pt, pu, pv, pubox, pvbox, zt_ups, zfu_ups, zfv_ups, zfu_ho, zfv_ho ) |
---|
[10446] | 488 | ! |
---|
| 489 | END SELECT |
---|
[10439] | 490 | ! |
---|
[10446] | 491 | ! --ho --ho |
---|
| 492 | ! new fluxes = u*H * u*a / u |
---|
| 493 | ! ---------------------------- |
---|
[10475] | 494 | IF( pamsk == 0._wp ) THEN |
---|
[10446] | 495 | DO jl = 1, jpl |
---|
[13566] | 496 | DO jj = 2, jpjm1 |
---|
[10446] | 497 | DO ji = 1, fs_jpim1 |
---|
[10911] | 498 | IF( ABS( pu(ji,jj) ) > epsi10 ) THEN |
---|
| 499 | zfu_ho (ji,jj,jl) = zfu_ho (ji,jj,jl) * puc (ji,jj,jl) / pu(ji,jj) |
---|
| 500 | zfu_ups(ji,jj,jl) = zfu_ups(ji,jj,jl) * pua_ups(ji,jj,jl) / pu(ji,jj) |
---|
[10446] | 501 | ELSE |
---|
| 502 | zfu_ho (ji,jj,jl) = 0._wp |
---|
| 503 | zfu_ups(ji,jj,jl) = 0._wp |
---|
| 504 | ENDIF |
---|
| 505 | ! |
---|
[13566] | 506 | END DO |
---|
| 507 | END DO |
---|
| 508 | DO jj = 1, jpjm1 |
---|
| 509 | DO ji = fs_2, fs_jpim1 |
---|
[10911] | 510 | IF( ABS( pv(ji,jj) ) > epsi10 ) THEN |
---|
| 511 | zfv_ho (ji,jj,jl) = zfv_ho (ji,jj,jl) * pvc (ji,jj,jl) / pv(ji,jj) |
---|
| 512 | zfv_ups(ji,jj,jl) = zfv_ups(ji,jj,jl) * pva_ups(ji,jj,jl) / pv(ji,jj) |
---|
[10446] | 513 | ELSE |
---|
| 514 | zfv_ho (ji,jj,jl) = 0._wp |
---|
| 515 | zfv_ups(ji,jj,jl) = 0._wp |
---|
| 516 | ENDIF |
---|
| 517 | END DO |
---|
| 518 | END DO |
---|
| 519 | END DO |
---|
[10911] | 520 | |
---|
| 521 | ! the new "volume" fluxes must also be "flux corrected" |
---|
| 522 | ! thus we calculate the upstream solution and apply a limiter again |
---|
| 523 | DO jl = 1, jpl |
---|
| 524 | DO jj = 2, jpjm1 |
---|
| 525 | DO ji = fs_2, fs_jpim1 |
---|
| 526 | ztra = - ( zfu_ups(ji,jj,jl) - zfu_ups(ji-1,jj,jl) + zfv_ups(ji,jj,jl) - zfv_ups(ji,jj-1,jl) ) |
---|
| 527 | ! |
---|
| 528 | zt_ups(ji,jj,jl) = ( ptc(ji,jj,jl) + ztra * r1_e1e2t(ji,jj) * pdt ) * tmask(ji,jj,1) |
---|
| 529 | END DO |
---|
| 530 | END DO |
---|
| 531 | END DO |
---|
| 532 | CALL lbc_lnk( 'icedyn_adv_umx', zt_ups, 'T', 1. ) |
---|
| 533 | ! |
---|
[10945] | 534 | IF ( np_limiter == 1 ) THEN |
---|
[10911] | 535 | CALL nonosc_ice( 1._wp, pdt, pu, pv, ptc, zt_ups, zfu_ups, zfv_ups, zfu_ho, zfv_ho ) |
---|
[10945] | 536 | ELSEIF( np_limiter == 2 .OR. np_limiter == 3 ) THEN |
---|
[10911] | 537 | CALL limiter_x( pdt, pu, ptc, zfu_ups, zfu_ho ) |
---|
| 538 | CALL limiter_y( pdt, pv, ptc, zfv_ups, zfv_ho ) |
---|
| 539 | ENDIF |
---|
| 540 | ! |
---|
[10446] | 541 | ENDIF |
---|
[10911] | 542 | ! --ho --ups |
---|
| 543 | ! in case of advection of A: output u*a and u*a |
---|
| 544 | ! ----------------------------------------------- |
---|
[10446] | 545 | IF( PRESENT( pua_ho ) ) THEN |
---|
| 546 | DO jl = 1, jpl |
---|
[13566] | 547 | DO jj = 2, jpjm1 |
---|
[10446] | 548 | DO ji = 1, fs_jpim1 |
---|
[13566] | 549 | pua_ho (ji,jj,jl) = zfu_ho (ji,jj,jl) |
---|
| 550 | pua_ups(ji,jj,jl) = zfu_ups(ji,jj,jl) |
---|
[10911] | 551 | END DO |
---|
[10446] | 552 | END DO |
---|
[13566] | 553 | DO jj = 1, jpjm1 |
---|
| 554 | DO ji = fs_2, fs_jpim1 |
---|
| 555 | pva_ho (ji,jj,jl) = zfv_ho (ji,jj,jl) |
---|
| 556 | pva_ups(ji,jj,jl) = zfv_ups(ji,jj,jl) |
---|
| 557 | END DO |
---|
| 558 | END DO |
---|
[10446] | 559 | END DO |
---|
| 560 | ENDIF |
---|
| 561 | ! |
---|
| 562 | ! final trend with corrected fluxes |
---|
| 563 | ! --------------------------------- |
---|
| 564 | DO jl = 1, jpl |
---|
| 565 | DO jj = 2, jpjm1 |
---|
| 566 | DO ji = fs_2, fs_jpim1 |
---|
| 567 | ztra = - ( zfu_ho(ji,jj,jl) - zfu_ho(ji-1,jj,jl) + zfv_ho(ji,jj,jl) - zfv_ho(ji,jj-1,jl) ) |
---|
| 568 | ! |
---|
| 569 | ptc(ji,jj,jl) = ( ptc(ji,jj,jl) + ztra * r1_e1e2t(ji,jj) * pdt ) * tmask(ji,jj,1) |
---|
| 570 | END DO |
---|
| 571 | END DO |
---|
| 572 | END DO |
---|
| 573 | ! |
---|
| 574 | END SUBROUTINE adv_umx |
---|
| 575 | |
---|
| 576 | |
---|
| 577 | SUBROUTINE upstream( pamsk, jt, kt, pdt, pt, pu, pv, pt_ups, pfu_ups, pfv_ups ) |
---|
| 578 | !!--------------------------------------------------------------------- |
---|
| 579 | !! *** ROUTINE upstream *** |
---|
| 580 | !! |
---|
| 581 | !! ** Purpose : compute the upstream fluxes and upstream guess of tracer |
---|
| 582 | !!---------------------------------------------------------------------- |
---|
| 583 | REAL(wp) , INTENT(in ) :: pamsk ! advection of concentration (1) or other tracers (0) |
---|
| 584 | INTEGER , INTENT(in ) :: jt ! number of sub-iteration |
---|
| 585 | INTEGER , INTENT(in ) :: kt ! number of iteration |
---|
| 586 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
| 587 | REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: pt ! tracer fields |
---|
| 588 | REAL(wp), DIMENSION(:,: ) , INTENT(in ) :: pu, pv ! 2 ice velocity components |
---|
| 589 | REAL(wp), DIMENSION(jpi,jpj,jpl), INTENT( out) :: pt_ups ! upstream guess of tracer |
---|
| 590 | REAL(wp), DIMENSION(jpi,jpj,jpl), INTENT( out) :: pfu_ups, pfv_ups ! upstream fluxes |
---|
| 591 | ! |
---|
| 592 | INTEGER :: ji, jj, jl ! dummy loop indices |
---|
| 593 | REAL(wp) :: ztra ! local scalar |
---|
| 594 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: zpt |
---|
| 595 | !!---------------------------------------------------------------------- |
---|
| 596 | |
---|
[10439] | 597 | IF( .NOT. ll_upsxy ) THEN !** no alternate directions **! |
---|
[10446] | 598 | ! |
---|
[10425] | 599 | DO jl = 1, jpl |
---|
| 600 | DO jj = 1, jpjm1 |
---|
| 601 | DO ji = 1, fs_jpim1 |
---|
[10446] | 602 | pfu_ups(ji,jj,jl) = MAX( pu(ji,jj), 0._wp ) * pt(ji,jj,jl) + MIN( pu(ji,jj), 0._wp ) * pt(ji+1,jj,jl) |
---|
| 603 | pfv_ups(ji,jj,jl) = MAX( pv(ji,jj), 0._wp ) * pt(ji,jj,jl) + MIN( pv(ji,jj), 0._wp ) * pt(ji,jj+1,jl) |
---|
[10425] | 604 | END DO |
---|
[10413] | 605 | END DO |
---|
| 606 | END DO |
---|
[10446] | 607 | ! |
---|
[10439] | 608 | ELSE !** alternate directions **! |
---|
[10413] | 609 | ! |
---|
| 610 | IF( MOD( (kt - 1) / nn_fsbc , 2 ) == MOD( (jt - 1) , 2 ) ) THEN !== odd ice time step: adv_x then adv_y ==! |
---|
[10439] | 611 | ! |
---|
| 612 | DO jl = 1, jpl !-- flux in x-direction |
---|
[13566] | 613 | DO jj = 1, jpj |
---|
[10425] | 614 | DO ji = 1, fs_jpim1 |
---|
[10446] | 615 | pfu_ups(ji,jj,jl) = MAX( pu(ji,jj), 0._wp ) * pt(ji,jj,jl) + MIN( pu(ji,jj), 0._wp ) * pt(ji+1,jj,jl) |
---|
[10425] | 616 | END DO |
---|
[10413] | 617 | END DO |
---|
| 618 | END DO |
---|
[10439] | 619 | ! |
---|
| 620 | DO jl = 1, jpl !-- first guess of tracer from u-flux |
---|
[13566] | 621 | DO jj = 1, jpj |
---|
[10439] | 622 | DO ji = fs_2, fs_jpim1 |
---|
[10446] | 623 | ztra = - ( pfu_ups(ji,jj,jl) - pfu_ups(ji-1,jj,jl) ) & |
---|
| 624 | & + ( pu (ji,jj ) - pu (ji-1,jj ) ) * pt(ji,jj,jl) * (1.-pamsk) |
---|
| 625 | ! |
---|
| 626 | zpt(ji,jj,jl) = ( pt(ji,jj,jl) + ztra * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
[10425] | 627 | END DO |
---|
[10413] | 628 | END DO |
---|
| 629 | END DO |
---|
[8586] | 630 | ! |
---|
[10439] | 631 | DO jl = 1, jpl !-- flux in y-direction |
---|
[10425] | 632 | DO jj = 1, jpjm1 |
---|
[13566] | 633 | DO ji = fs_2, fs_jpim1 |
---|
[10446] | 634 | pfv_ups(ji,jj,jl) = MAX( pv(ji,jj), 0._wp ) * zpt(ji,jj,jl) + MIN( pv(ji,jj), 0._wp ) * zpt(ji,jj+1,jl) |
---|
[10425] | 635 | END DO |
---|
[10413] | 636 | END DO |
---|
| 637 | END DO |
---|
[10439] | 638 | ! |
---|
[10413] | 639 | ELSE !== even ice time step: adv_y then adv_x ==! |
---|
[10439] | 640 | ! |
---|
| 641 | DO jl = 1, jpl !-- flux in y-direction |
---|
[10425] | 642 | DO jj = 1, jpjm1 |
---|
[13566] | 643 | DO ji = 1, jpi |
---|
[10446] | 644 | pfv_ups(ji,jj,jl) = MAX( pv(ji,jj), 0._wp ) * pt(ji,jj,jl) + MIN( pv(ji,jj), 0._wp ) * pt(ji,jj+1,jl) |
---|
[10425] | 645 | END DO |
---|
[10413] | 646 | END DO |
---|
| 647 | END DO |
---|
[10439] | 648 | ! |
---|
| 649 | DO jl = 1, jpl !-- first guess of tracer from v-flux |
---|
[10425] | 650 | DO jj = 2, jpjm1 |
---|
[13566] | 651 | DO ji = 1, jpi |
---|
[10446] | 652 | ztra = - ( pfv_ups(ji,jj,jl) - pfv_ups(ji,jj-1,jl) ) & |
---|
| 653 | & + ( pv (ji,jj ) - pv (ji,jj-1 ) ) * pt(ji,jj,jl) * (1.-pamsk) |
---|
| 654 | ! |
---|
| 655 | zpt(ji,jj,jl) = ( pt(ji,jj,jl) + ztra * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
[10425] | 656 | END DO |
---|
| 657 | END DO |
---|
[10413] | 658 | END DO |
---|
| 659 | ! |
---|
[10439] | 660 | DO jl = 1, jpl !-- flux in x-direction |
---|
[13566] | 661 | DO jj = 2, jpjm1 |
---|
[10425] | 662 | DO ji = 1, fs_jpim1 |
---|
[10446] | 663 | pfu_ups(ji,jj,jl) = MAX( pu(ji,jj), 0._wp ) * zpt(ji,jj,jl) + MIN( pu(ji,jj), 0._wp ) * zpt(ji+1,jj,jl) |
---|
[10425] | 664 | END DO |
---|
[10413] | 665 | END DO |
---|
| 666 | END DO |
---|
| 667 | ! |
---|
| 668 | ENDIF |
---|
| 669 | |
---|
| 670 | ENDIF |
---|
[10439] | 671 | ! |
---|
| 672 | DO jl = 1, jpl !-- after tracer with upstream scheme |
---|
[10425] | 673 | DO jj = 2, jpjm1 |
---|
| 674 | DO ji = fs_2, fs_jpim1 |
---|
[10446] | 675 | ztra = - ( pfu_ups(ji,jj,jl) - pfu_ups(ji-1,jj ,jl) & |
---|
| 676 | & + pfv_ups(ji,jj,jl) - pfv_ups(ji ,jj-1,jl) ) & |
---|
| 677 | & + ( pu (ji,jj ) - pu (ji-1,jj ) & |
---|
| 678 | & + pv (ji,jj ) - pv (ji ,jj-1 ) ) * pt(ji,jj,jl) * (1.-pamsk) |
---|
| 679 | ! |
---|
[10475] | 680 | pt_ups(ji,jj,jl) = ( pt(ji,jj,jl) + ztra * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
[10425] | 681 | END DO |
---|
[10413] | 682 | END DO |
---|
[8586] | 683 | END DO |
---|
[10446] | 684 | CALL lbc_lnk( 'icedyn_adv_umx', pt_ups, 'T', 1. ) |
---|
[10413] | 685 | |
---|
[10446] | 686 | END SUBROUTINE upstream |
---|
[8586] | 687 | |
---|
[10446] | 688 | |
---|
[10475] | 689 | SUBROUTINE cen2( pamsk, jt, kt, pdt, pt, pu, pv, pt_ups, pfu_ups, pfv_ups, pfu_ho, pfv_ho ) |
---|
[8586] | 690 | !!--------------------------------------------------------------------- |
---|
[10446] | 691 | !! *** ROUTINE cen2 *** |
---|
[8586] | 692 | !! |
---|
[10446] | 693 | !! ** Purpose : compute the high order fluxes using a centered |
---|
| 694 | !! second order scheme |
---|
[8586] | 695 | !!---------------------------------------------------------------------- |
---|
[10439] | 696 | REAL(wp) , INTENT(in ) :: pamsk ! advection of concentration (1) or other tracers (0) |
---|
| 697 | INTEGER , INTENT(in ) :: jt ! number of sub-iteration |
---|
| 698 | INTEGER , INTENT(in ) :: kt ! number of iteration |
---|
| 699 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
| 700 | REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: pt ! tracer fields |
---|
| 701 | REAL(wp), DIMENSION(:,: ) , INTENT(in ) :: pu, pv ! 2 ice velocity components |
---|
[10446] | 702 | REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: pt_ups ! upstream guess of tracer |
---|
| 703 | REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: pfu_ups, pfv_ups ! upstream fluxes |
---|
[10425] | 704 | REAL(wp), DIMENSION(jpi,jpj,jpl), INTENT( out) :: pfu_ho, pfv_ho ! high order fluxes |
---|
[8586] | 705 | ! |
---|
[10425] | 706 | INTEGER :: ji, jj, jl ! dummy loop indices |
---|
[10446] | 707 | REAL(wp) :: ztra ! local scalar |
---|
| 708 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: zpt |
---|
[8586] | 709 | !!---------------------------------------------------------------------- |
---|
| 710 | ! |
---|
[10439] | 711 | IF( .NOT.ll_hoxy ) THEN !** no alternate directions **! |
---|
[8586] | 712 | ! |
---|
[10425] | 713 | DO jl = 1, jpl |
---|
[13566] | 714 | DO jj = 1, jpj |
---|
[10425] | 715 | DO ji = 1, fs_jpim1 |
---|
[10475] | 716 | pfu_ho(ji,jj,jl) = 0.5_wp * pu(ji,jj) * ( pt(ji,jj,jl) + pt(ji+1,jj ,jl) ) |
---|
[13566] | 717 | END DO |
---|
| 718 | END DO |
---|
| 719 | DO jj = 1, jpjm1 |
---|
| 720 | DO ji = 1, jpi |
---|
[10475] | 721 | pfv_ho(ji,jj,jl) = 0.5_wp * pv(ji,jj) * ( pt(ji,jj,jl) + pt(ji ,jj+1,jl) ) |
---|
[10425] | 722 | END DO |
---|
[8586] | 723 | END DO |
---|
| 724 | END DO |
---|
[10475] | 725 | ! |
---|
[10945] | 726 | IF ( np_limiter == 1 ) THEN |
---|
[10519] | 727 | CALL nonosc_ice( pamsk, pdt, pu, pv, pt, pt_ups, pfu_ups, pfv_ups, pfu_ho, pfv_ho ) |
---|
[10945] | 728 | ELSEIF( np_limiter == 2 .OR. np_limiter == 3 ) THEN |
---|
[10446] | 729 | CALL limiter_x( pdt, pu, pt, pfu_ups, pfu_ho ) |
---|
| 730 | CALL limiter_y( pdt, pv, pt, pfv_ups, pfv_ho ) |
---|
[10413] | 731 | ENDIF |
---|
[8586] | 732 | ! |
---|
[10439] | 733 | ELSE !** alternate directions **! |
---|
[8586] | 734 | ! |
---|
[10413] | 735 | IF( MOD( (kt - 1) / nn_fsbc , 2 ) == MOD( (jt - 1) , 2 ) ) THEN !== odd ice time step: adv_x then adv_y ==! |
---|
| 736 | ! |
---|
[10439] | 737 | DO jl = 1, jpl !-- flux in x-direction |
---|
[13566] | 738 | DO jj = 1, jpj |
---|
[10425] | 739 | DO ji = 1, fs_jpim1 |
---|
[10475] | 740 | pfu_ho(ji,jj,jl) = 0.5_wp * pu(ji,jj) * ( pt(ji,jj,jl) + pt(ji+1,jj,jl) ) |
---|
[10425] | 741 | END DO |
---|
[10413] | 742 | END DO |
---|
| 743 | END DO |
---|
[10945] | 744 | IF( np_limiter == 2 .OR. np_limiter == 3 ) CALL limiter_x( pdt, pu, pt, pfu_ups, pfu_ho ) |
---|
[10413] | 745 | |
---|
[10439] | 746 | DO jl = 1, jpl !-- first guess of tracer from u-flux |
---|
[13566] | 747 | DO jj = 1, jpj |
---|
[10439] | 748 | DO ji = fs_2, fs_jpim1 |
---|
[10446] | 749 | ztra = - ( pfu_ho(ji,jj,jl) - pfu_ho(ji-1,jj,jl) ) & |
---|
| 750 | & + ( pu (ji,jj ) - pu (ji-1,jj ) ) * pt(ji,jj,jl) * (1.-pamsk) |
---|
| 751 | ! |
---|
| 752 | zpt(ji,jj,jl) = ( pt(ji,jj,jl) + ztra * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
[10425] | 753 | END DO |
---|
[10413] | 754 | END DO |
---|
| 755 | END DO |
---|
| 756 | |
---|
[10439] | 757 | DO jl = 1, jpl !-- flux in y-direction |
---|
[10425] | 758 | DO jj = 1, jpjm1 |
---|
[13566] | 759 | DO ji = fs_2, fs_jpim1 |
---|
[10475] | 760 | pfv_ho(ji,jj,jl) = 0.5_wp * pv(ji,jj) * ( zpt(ji,jj,jl) + zpt(ji,jj+1,jl) ) |
---|
[10425] | 761 | END DO |
---|
[10413] | 762 | END DO |
---|
| 763 | END DO |
---|
[10945] | 764 | IF( np_limiter == 2 .OR. np_limiter == 3 ) CALL limiter_y( pdt, pv, pt, pfv_ups, pfv_ho ) |
---|
[10413] | 765 | |
---|
| 766 | ELSE !== even ice time step: adv_y then adv_x ==! |
---|
| 767 | ! |
---|
[10439] | 768 | DO jl = 1, jpl !-- flux in y-direction |
---|
[10425] | 769 | DO jj = 1, jpjm1 |
---|
[13566] | 770 | DO ji = 1, jpi |
---|
[10475] | 771 | pfv_ho(ji,jj,jl) = 0.5_wp * pv(ji,jj) * ( pt(ji,jj,jl) + pt(ji,jj+1,jl) ) |
---|
[10425] | 772 | END DO |
---|
[10413] | 773 | END DO |
---|
| 774 | END DO |
---|
[10945] | 775 | IF( np_limiter == 2 .OR. np_limiter == 3 ) CALL limiter_y( pdt, pv, pt, pfv_ups, pfv_ho ) |
---|
[10413] | 776 | ! |
---|
[10439] | 777 | DO jl = 1, jpl !-- first guess of tracer from v-flux |
---|
[10425] | 778 | DO jj = 2, jpjm1 |
---|
[13566] | 779 | DO ji = 1, jpi |
---|
[10446] | 780 | ztra = - ( pfv_ho(ji,jj,jl) - pfv_ho(ji,jj-1,jl) ) & |
---|
| 781 | & + ( pv (ji,jj ) - pv (ji,jj-1 ) ) * pt(ji,jj,jl) * (1.-pamsk) |
---|
| 782 | ! |
---|
| 783 | zpt(ji,jj,jl) = ( pt(ji,jj,jl) + ztra * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
[10425] | 784 | END DO |
---|
[10413] | 785 | END DO |
---|
| 786 | END DO |
---|
| 787 | ! |
---|
[10439] | 788 | DO jl = 1, jpl !-- flux in x-direction |
---|
[13566] | 789 | DO jj = 2, jpjm1 |
---|
[10425] | 790 | DO ji = 1, fs_jpim1 |
---|
[10475] | 791 | pfu_ho(ji,jj,jl) = 0.5_wp * pu(ji,jj) * ( zpt(ji,jj,jl) + zpt(ji+1,jj,jl) ) |
---|
[10425] | 792 | END DO |
---|
[10413] | 793 | END DO |
---|
| 794 | END DO |
---|
[10945] | 795 | IF( np_limiter == 2 .OR. np_limiter == 3 ) CALL limiter_x( pdt, pu, pt, pfu_ups, pfu_ho ) |
---|
[10413] | 796 | |
---|
| 797 | ENDIF |
---|
[10945] | 798 | IF( np_limiter == 1 ) CALL nonosc_ice( pamsk, pdt, pu, pv, pt, pt_ups, pfu_ups, pfv_ups, pfu_ho, pfv_ho ) |
---|
[10413] | 799 | |
---|
| 800 | ENDIF |
---|
| 801 | |
---|
| 802 | END SUBROUTINE cen2 |
---|
| 803 | |
---|
| 804 | |
---|
[10475] | 805 | SUBROUTINE macho( pamsk, kn_umx, jt, kt, pdt, pt, pu, pv, pubox, pvbox, pt_ups, pfu_ups, pfv_ups, pfu_ho, pfv_ho ) |
---|
[10413] | 806 | !!--------------------------------------------------------------------- |
---|
| 807 | !! *** ROUTINE macho *** |
---|
| 808 | !! |
---|
[10446] | 809 | !! ** Purpose : compute the high order fluxes using Ultimate-Macho scheme |
---|
[10413] | 810 | !! |
---|
[10446] | 811 | !! ** Method : ... |
---|
[10413] | 812 | !! |
---|
| 813 | !! Reference : Leonard, B.P., 1991, Comput. Methods Appl. Mech. Eng., 88, 17-74. |
---|
| 814 | !!---------------------------------------------------------------------- |
---|
[10439] | 815 | REAL(wp) , INTENT(in ) :: pamsk ! advection of concentration (1) or other tracers (0) |
---|
| 816 | INTEGER , INTENT(in ) :: kn_umx ! order of the scheme (1-5=UM or 20=CEN2) |
---|
| 817 | INTEGER , INTENT(in ) :: jt ! number of sub-iteration |
---|
| 818 | INTEGER , INTENT(in ) :: kt ! number of iteration |
---|
| 819 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
| 820 | REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: pt ! tracer fields |
---|
| 821 | REAL(wp), DIMENSION(:,: ) , INTENT(in ) :: pu, pv ! 2 ice velocity components |
---|
| 822 | REAL(wp), DIMENSION(:,: ) , INTENT(in ) :: pubox, pvbox ! upstream velocity |
---|
[10446] | 823 | REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: pt_ups ! upstream guess of tracer |
---|
| 824 | REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: pfu_ups, pfv_ups ! upstream fluxes |
---|
[10425] | 825 | REAL(wp), DIMENSION(jpi,jpj,jpl), INTENT( out) :: pfu_ho, pfv_ho ! high order fluxes |
---|
[10413] | 826 | ! |
---|
[10425] | 827 | INTEGER :: ji, jj, jl ! dummy loop indices |
---|
[10446] | 828 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: zt_u, zt_v, zpt |
---|
[10413] | 829 | !!---------------------------------------------------------------------- |
---|
| 830 | ! |
---|
| 831 | IF( MOD( (kt - 1) / nn_fsbc , 2 ) == MOD( (jt - 1) , 2 ) ) THEN !== odd ice time step: adv_x then adv_y ==! |
---|
[8586] | 832 | ! |
---|
[10413] | 833 | ! !-- ultimate interpolation of pt at u-point --! |
---|
[10911] | 834 | CALL ultimate_x( pamsk, kn_umx, pdt, pt, pu, zt_u, pfu_ho ) |
---|
[10413] | 835 | ! !-- limiter in x --! |
---|
[10945] | 836 | IF( np_limiter == 2 .OR. np_limiter == 3 ) CALL limiter_x( pdt, pu, pt, pfu_ups, pfu_ho ) |
---|
[10446] | 837 | ! !-- advective form update in zpt --! |
---|
[10439] | 838 | DO jl = 1, jpl |
---|
| 839 | DO jj = 2, jpjm1 |
---|
| 840 | DO ji = fs_2, fs_jpim1 |
---|
[10446] | 841 | zpt(ji,jj,jl) = ( pt(ji,jj,jl) - ( pubox(ji,jj ) * ( zt_u(ji,jj,jl) - zt_u(ji-1,jj,jl) ) * r1_e1t (ji,jj) & |
---|
| 842 | & + pt (ji,jj,jl) * ( pu (ji,jj ) - pu (ji-1,jj ) ) * r1_e1e2t(ji,jj) & |
---|
| 843 | & * pamsk & |
---|
[10911] | 844 | & ) * pdt ) * tmask(ji,jj,1) |
---|
[10413] | 845 | END DO |
---|
[8586] | 846 | END DO |
---|
[10439] | 847 | END DO |
---|
[10446] | 848 | CALL lbc_lnk( 'icedyn_adv_umx', zpt, 'T', 1. ) |
---|
[8586] | 849 | ! |
---|
[10413] | 850 | ! !-- ultimate interpolation of pt at v-point --! |
---|
| 851 | IF( ll_hoxy ) THEN |
---|
[10911] | 852 | CALL ultimate_y( pamsk, kn_umx, pdt, zpt, pv, zt_v, pfv_ho ) |
---|
[10413] | 853 | ELSE |
---|
[10911] | 854 | CALL ultimate_y( pamsk, kn_umx, pdt, pt , pv, zt_v, pfv_ho ) |
---|
[10413] | 855 | ENDIF |
---|
| 856 | ! !-- limiter in y --! |
---|
[10945] | 857 | IF( np_limiter == 2 .OR. np_limiter == 3 ) CALL limiter_y( pdt, pv, pt, pfv_ups, pfv_ho ) |
---|
[10413] | 858 | ! |
---|
| 859 | ! |
---|
| 860 | ELSE !== even ice time step: adv_y then adv_x ==! |
---|
| 861 | ! |
---|
| 862 | ! !-- ultimate interpolation of pt at v-point --! |
---|
[10911] | 863 | CALL ultimate_y( pamsk, kn_umx, pdt, pt, pv, zt_v, pfv_ho ) |
---|
[10413] | 864 | ! !-- limiter in y --! |
---|
[10945] | 865 | IF( np_limiter == 2 .OR. np_limiter == 3 ) CALL limiter_y( pdt, pv, pt, pfv_ups, pfv_ho ) |
---|
[10446] | 866 | ! !-- advective form update in zpt --! |
---|
[10439] | 867 | DO jl = 1, jpl |
---|
| 868 | DO jj = 2, jpjm1 |
---|
| 869 | DO ji = fs_2, fs_jpim1 |
---|
[10446] | 870 | zpt(ji,jj,jl) = ( pt(ji,jj,jl) - ( pvbox(ji,jj ) * ( zt_v(ji,jj,jl) - zt_v(ji,jj-1,jl) ) * r1_e2t (ji,jj) & |
---|
| 871 | & + pt (ji,jj,jl) * ( pv (ji,jj ) - pv (ji,jj-1 ) ) * r1_e1e2t(ji,jj) & |
---|
| 872 | & * pamsk & |
---|
| 873 | & ) * pdt ) * tmask(ji,jj,1) |
---|
[10425] | 874 | END DO |
---|
[10413] | 875 | END DO |
---|
[10439] | 876 | END DO |
---|
[10446] | 877 | CALL lbc_lnk( 'icedyn_adv_umx', zpt, 'T', 1. ) |
---|
[10413] | 878 | ! |
---|
| 879 | ! !-- ultimate interpolation of pt at u-point --! |
---|
| 880 | IF( ll_hoxy ) THEN |
---|
[10911] | 881 | CALL ultimate_x( pamsk, kn_umx, pdt, zpt, pu, zt_u, pfu_ho ) |
---|
[10413] | 882 | ELSE |
---|
[10911] | 883 | CALL ultimate_x( pamsk, kn_umx, pdt, pt , pu, zt_u, pfu_ho ) |
---|
[10413] | 884 | ENDIF |
---|
| 885 | ! !-- limiter in x --! |
---|
[10945] | 886 | IF( np_limiter == 2 .OR. np_limiter == 3 ) CALL limiter_x( pdt, pu, pt, pfu_ups, pfu_ho ) |
---|
[10413] | 887 | ! |
---|
| 888 | ENDIF |
---|
| 889 | |
---|
[10945] | 890 | IF( np_limiter == 1 ) CALL nonosc_ice( pamsk, pdt, pu, pv, pt, pt_ups, pfu_ups, pfv_ups, pfu_ho, pfv_ho ) |
---|
[8586] | 891 | ! |
---|
| 892 | END SUBROUTINE macho |
---|
| 893 | |
---|
| 894 | |
---|
[10911] | 895 | SUBROUTINE ultimate_x( pamsk, kn_umx, pdt, pt, pu, pt_u, pfu_ho ) |
---|
[8586] | 896 | !!--------------------------------------------------------------------- |
---|
| 897 | !! *** ROUTINE ultimate_x *** |
---|
| 898 | !! |
---|
[10446] | 899 | !! ** Purpose : compute tracer at u-points |
---|
[8586] | 900 | !! |
---|
[10446] | 901 | !! ** Method : ... |
---|
[8586] | 902 | !! |
---|
| 903 | !! Reference : Leonard, B.P., 1991, Comput. Methods Appl. Mech. Eng., 88, 17-74. |
---|
| 904 | !!---------------------------------------------------------------------- |
---|
[10911] | 905 | REAL(wp) , INTENT(in ) :: pamsk ! advection of concentration (1) or other tracers (0) |
---|
[10439] | 906 | INTEGER , INTENT(in ) :: kn_umx ! order of the scheme (1-5=UM or 20=CEN2) |
---|
| 907 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
| 908 | REAL(wp), DIMENSION(:,: ) , INTENT(in ) :: pu ! ice i-velocity component |
---|
| 909 | REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: pt ! tracer fields |
---|
[10425] | 910 | REAL(wp), DIMENSION(jpi,jpj,jpl), INTENT( out) :: pt_u ! tracer at u-point |
---|
| 911 | REAL(wp), DIMENSION(jpi,jpj,jpl), INTENT( out) :: pfu_ho ! high order flux |
---|
[8586] | 912 | ! |
---|
[10425] | 913 | INTEGER :: ji, jj, jl ! dummy loop indices |
---|
[10930] | 914 | REAL(wp) :: zcu, zdx2, zdx4 ! - - |
---|
[10425] | 915 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: ztu1, ztu2, ztu3, ztu4 |
---|
[8586] | 916 | !!---------------------------------------------------------------------- |
---|
| 917 | ! |
---|
| 918 | ! !-- Laplacian in i-direction --! |
---|
[10425] | 919 | DO jl = 1, jpl |
---|
| 920 | DO jj = 2, jpjm1 ! First derivative (gradient) |
---|
| 921 | DO ji = 1, fs_jpim1 |
---|
| 922 | ztu1(ji,jj,jl) = ( pt(ji+1,jj,jl) - pt(ji,jj,jl) ) * r1_e1u(ji,jj) * umask(ji,jj,1) |
---|
| 923 | END DO |
---|
| 924 | ! ! Second derivative (Laplacian) |
---|
| 925 | DO ji = fs_2, fs_jpim1 |
---|
| 926 | ztu2(ji,jj,jl) = ( ztu1(ji,jj,jl) - ztu1(ji-1,jj,jl) ) * r1_e1t(ji,jj) |
---|
| 927 | END DO |
---|
[8586] | 928 | END DO |
---|
| 929 | END DO |
---|
[10425] | 930 | CALL lbc_lnk( 'icedyn_adv_umx', ztu2, 'T', 1. ) |
---|
[8586] | 931 | ! |
---|
| 932 | ! !-- BiLaplacian in i-direction --! |
---|
[10425] | 933 | DO jl = 1, jpl |
---|
| 934 | DO jj = 2, jpjm1 ! Third derivative |
---|
| 935 | DO ji = 1, fs_jpim1 |
---|
| 936 | ztu3(ji,jj,jl) = ( ztu2(ji+1,jj,jl) - ztu2(ji,jj,jl) ) * r1_e1u(ji,jj) * umask(ji,jj,1) |
---|
| 937 | END DO |
---|
| 938 | ! ! Fourth derivative |
---|
| 939 | DO ji = fs_2, fs_jpim1 |
---|
| 940 | ztu4(ji,jj,jl) = ( ztu3(ji,jj,jl) - ztu3(ji-1,jj,jl) ) * r1_e1t(ji,jj) |
---|
| 941 | END DO |
---|
[8586] | 942 | END DO |
---|
| 943 | END DO |
---|
[10425] | 944 | CALL lbc_lnk( 'icedyn_adv_umx', ztu4, 'T', 1. ) |
---|
[8586] | 945 | ! |
---|
| 946 | ! |
---|
[10413] | 947 | SELECT CASE (kn_umx ) |
---|
[8586] | 948 | ! |
---|
| 949 | CASE( 1 ) !== 1st order central TIM ==! (Eq. 21) |
---|
| 950 | ! |
---|
[10425] | 951 | DO jl = 1, jpl |
---|
[13566] | 952 | DO jj = 2, jpjm1 |
---|
[10425] | 953 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10475] | 954 | pt_u(ji,jj,jl) = 0.5_wp * umask(ji,jj,1) * ( pt(ji+1,jj,jl) + pt(ji,jj,jl) & |
---|
| 955 | & - SIGN( 1._wp, pu(ji,jj) ) * ( pt(ji+1,jj,jl) - pt(ji,jj,jl) ) ) |
---|
[10425] | 956 | END DO |
---|
[8586] | 957 | END DO |
---|
| 958 | END DO |
---|
| 959 | ! |
---|
| 960 | CASE( 2 ) !== 2nd order central TIM ==! (Eq. 23) |
---|
| 961 | ! |
---|
[10425] | 962 | DO jl = 1, jpl |
---|
[13566] | 963 | DO jj = 2, jpjm1 |
---|
[10425] | 964 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 965 | zcu = pu(ji,jj) * r1_e2u(ji,jj) * pdt * r1_e1u(ji,jj) |
---|
| 966 | pt_u(ji,jj,jl) = 0.5_wp * umask(ji,jj,1) * ( pt(ji+1,jj,jl) + pt(ji,jj,jl) & |
---|
[10475] | 967 | & - zcu * ( pt(ji+1,jj,jl) - pt(ji,jj,jl) ) ) |
---|
[10425] | 968 | END DO |
---|
[8586] | 969 | END DO |
---|
| 970 | END DO |
---|
| 971 | ! |
---|
| 972 | CASE( 3 ) !== 3rd order central TIM ==! (Eq. 24) |
---|
| 973 | ! |
---|
[10425] | 974 | DO jl = 1, jpl |
---|
[13566] | 975 | DO jj = 2, jpjm1 |
---|
[10425] | 976 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 977 | zcu = pu(ji,jj) * r1_e2u(ji,jj) * pdt * r1_e1u(ji,jj) |
---|
| 978 | zdx2 = e1u(ji,jj) * e1u(ji,jj) |
---|
[10439] | 979 | !!rachid zdx2 = e1u(ji,jj) * e1t(ji,jj) |
---|
[10446] | 980 | pt_u(ji,jj,jl) = 0.5_wp * umask(ji,jj,1) * ( ( pt (ji+1,jj,jl) + pt (ji,jj,jl) & |
---|
[10475] | 981 | & - zcu * ( pt (ji+1,jj,jl) - pt (ji,jj,jl) ) ) & |
---|
| 982 | & + z1_6 * zdx2 * ( zcu*zcu - 1._wp ) * ( ztu2(ji+1,jj,jl) + ztu2(ji,jj,jl) & |
---|
[10446] | 983 | & - SIGN( 1._wp, zcu ) * ( ztu2(ji+1,jj,jl) - ztu2(ji,jj,jl) ) ) ) |
---|
[10425] | 984 | END DO |
---|
[8586] | 985 | END DO |
---|
| 986 | END DO |
---|
| 987 | ! |
---|
| 988 | CASE( 4 ) !== 4th order central TIM ==! (Eq. 27) |
---|
| 989 | ! |
---|
[10425] | 990 | DO jl = 1, jpl |
---|
[13566] | 991 | DO jj = 2, jpjm1 |
---|
[10425] | 992 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 993 | zcu = pu(ji,jj) * r1_e2u(ji,jj) * pdt * r1_e1u(ji,jj) |
---|
| 994 | zdx2 = e1u(ji,jj) * e1u(ji,jj) |
---|
[10439] | 995 | !!rachid zdx2 = e1u(ji,jj) * e1t(ji,jj) |
---|
[10475] | 996 | pt_u(ji,jj,jl) = 0.5_wp * umask(ji,jj,1) * ( ( pt (ji+1,jj,jl) + pt (ji,jj,jl) & |
---|
| 997 | & - zcu * ( pt (ji+1,jj,jl) - pt (ji,jj,jl) ) ) & |
---|
| 998 | & + z1_6 * zdx2 * ( zcu*zcu - 1._wp ) * ( ztu2(ji+1,jj,jl) + ztu2(ji,jj,jl) & |
---|
| 999 | & - 0.5_wp * zcu * ( ztu2(ji+1,jj,jl) - ztu2(ji,jj,jl) ) ) ) |
---|
[10425] | 1000 | END DO |
---|
[8586] | 1001 | END DO |
---|
| 1002 | END DO |
---|
| 1003 | ! |
---|
| 1004 | CASE( 5 ) !== 5th order central TIM ==! (Eq. 29) |
---|
| 1005 | ! |
---|
[10425] | 1006 | DO jl = 1, jpl |
---|
[13566] | 1007 | DO jj = 2, jpjm1 |
---|
[10425] | 1008 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 1009 | zcu = pu(ji,jj) * r1_e2u(ji,jj) * pdt * r1_e1u(ji,jj) |
---|
| 1010 | zdx2 = e1u(ji,jj) * e1u(ji,jj) |
---|
[10439] | 1011 | !!rachid zdx2 = e1u(ji,jj) * e1t(ji,jj) |
---|
[10425] | 1012 | zdx4 = zdx2 * zdx2 |
---|
[10475] | 1013 | pt_u(ji,jj,jl) = 0.5_wp * umask(ji,jj,1) * ( ( pt (ji+1,jj,jl) + pt (ji,jj,jl) & |
---|
| 1014 | & - zcu * ( pt (ji+1,jj,jl) - pt (ji,jj,jl) ) ) & |
---|
| 1015 | & + z1_6 * zdx2 * ( zcu*zcu - 1._wp ) * ( ztu2(ji+1,jj,jl) + ztu2(ji,jj,jl) & |
---|
| 1016 | & - 0.5_wp * zcu * ( ztu2(ji+1,jj,jl) - ztu2(ji,jj,jl) ) ) & |
---|
[10446] | 1017 | & + z1_120 * zdx4 * ( zcu*zcu - 1._wp ) * ( zcu*zcu - 4._wp ) * ( ztu4(ji+1,jj,jl) + ztu4(ji,jj,jl) & |
---|
[10425] | 1018 | & - SIGN( 1._wp, zcu ) * ( ztu4(ji+1,jj,jl) - ztu4(ji,jj,jl) ) ) ) |
---|
| 1019 | END DO |
---|
[8586] | 1020 | END DO |
---|
| 1021 | END DO |
---|
| 1022 | ! |
---|
| 1023 | END SELECT |
---|
[10439] | 1024 | ! |
---|
| 1025 | ! if pt at u-point is negative then use the upstream value |
---|
| 1026 | ! this should not be necessary if a proper sea-ice mask is set in Ultimate |
---|
| 1027 | ! to degrade the order of the scheme when necessary (for ex. at the ice edge) |
---|
[10413] | 1028 | IF( ll_neg ) THEN |
---|
[10425] | 1029 | DO jl = 1, jpl |
---|
[13566] | 1030 | DO jj = 2, jpjm1 |
---|
[10425] | 1031 | DO ji = 1, fs_jpim1 |
---|
[10945] | 1032 | IF( pt_u(ji,jj,jl) < 0._wp .OR. ( imsk_small(ji,jj,jl) == 0 .AND. pamsk == 0. ) ) THEN |
---|
[10475] | 1033 | pt_u(ji,jj,jl) = 0.5_wp * umask(ji,jj,1) * ( pt(ji+1,jj,jl) + pt(ji,jj,jl) & |
---|
| 1034 | & - SIGN( 1._wp, pu(ji,jj) ) * ( pt(ji+1,jj,jl) - pt(ji,jj,jl) ) ) |
---|
[10425] | 1035 | ENDIF |
---|
| 1036 | END DO |
---|
[10413] | 1037 | END DO |
---|
| 1038 | END DO |
---|
| 1039 | ENDIF |
---|
[10439] | 1040 | ! !-- High order flux in i-direction --! |
---|
[10425] | 1041 | DO jl = 1, jpl |
---|
[13566] | 1042 | DO jj = 2, jpjm1 |
---|
[10425] | 1043 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10439] | 1044 | pfu_ho(ji,jj,jl) = pu(ji,jj) * pt_u(ji,jj,jl) |
---|
[10425] | 1045 | END DO |
---|
[10413] | 1046 | END DO |
---|
| 1047 | END DO |
---|
[8586] | 1048 | ! |
---|
| 1049 | END SUBROUTINE ultimate_x |
---|
| 1050 | |
---|
| 1051 | |
---|
[10911] | 1052 | SUBROUTINE ultimate_y( pamsk, kn_umx, pdt, pt, pv, pt_v, pfv_ho ) |
---|
[8586] | 1053 | !!--------------------------------------------------------------------- |
---|
| 1054 | !! *** ROUTINE ultimate_y *** |
---|
| 1055 | !! |
---|
[10446] | 1056 | !! ** Purpose : compute tracer at v-points |
---|
[8586] | 1057 | !! |
---|
[10446] | 1058 | !! ** Method : ... |
---|
[8586] | 1059 | !! |
---|
| 1060 | !! Reference : Leonard, B.P., 1991, Comput. Methods Appl. Mech. Eng., 88, 17-74. |
---|
| 1061 | !!---------------------------------------------------------------------- |
---|
[10911] | 1062 | REAL(wp) , INTENT(in ) :: pamsk ! advection of concentration (1) or other tracers (0) |
---|
[10439] | 1063 | INTEGER , INTENT(in ) :: kn_umx ! order of the scheme (1-5=UM or 20=CEN2) |
---|
| 1064 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
| 1065 | REAL(wp), DIMENSION(:,: ) , INTENT(in ) :: pv ! ice j-velocity component |
---|
| 1066 | REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: pt ! tracer fields |
---|
[10425] | 1067 | REAL(wp), DIMENSION(jpi,jpj,jpl), INTENT( out) :: pt_v ! tracer at v-point |
---|
| 1068 | REAL(wp), DIMENSION(jpi,jpj,jpl), INTENT( out) :: pfv_ho ! high order flux |
---|
[8586] | 1069 | ! |
---|
[10439] | 1070 | INTEGER :: ji, jj, jl ! dummy loop indices |
---|
[10930] | 1071 | REAL(wp) :: zcv, zdy2, zdy4 ! - - |
---|
[10425] | 1072 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: ztv1, ztv2, ztv3, ztv4 |
---|
[8586] | 1073 | !!---------------------------------------------------------------------- |
---|
| 1074 | ! |
---|
| 1075 | ! !-- Laplacian in j-direction --! |
---|
[10425] | 1076 | DO jl = 1, jpl |
---|
| 1077 | DO jj = 1, jpjm1 ! First derivative (gradient) |
---|
| 1078 | DO ji = fs_2, fs_jpim1 |
---|
| 1079 | ztv1(ji,jj,jl) = ( pt(ji,jj+1,jl) - pt(ji,jj,jl) ) * r1_e2v(ji,jj) * vmask(ji,jj,1) |
---|
| 1080 | END DO |
---|
[8586] | 1081 | END DO |
---|
[10425] | 1082 | DO jj = 2, jpjm1 ! Second derivative (Laplacian) |
---|
| 1083 | DO ji = fs_2, fs_jpim1 |
---|
| 1084 | ztv2(ji,jj,jl) = ( ztv1(ji,jj,jl) - ztv1(ji,jj-1,jl) ) * r1_e2t(ji,jj) |
---|
| 1085 | END DO |
---|
[8586] | 1086 | END DO |
---|
| 1087 | END DO |
---|
[10425] | 1088 | CALL lbc_lnk( 'icedyn_adv_umx', ztv2, 'T', 1. ) |
---|
[8586] | 1089 | ! |
---|
| 1090 | ! !-- BiLaplacian in j-direction --! |
---|
[10425] | 1091 | DO jl = 1, jpl |
---|
| 1092 | DO jj = 1, jpjm1 ! First derivative |
---|
| 1093 | DO ji = fs_2, fs_jpim1 |
---|
| 1094 | ztv3(ji,jj,jl) = ( ztv2(ji,jj+1,jl) - ztv2(ji,jj,jl) ) * r1_e2v(ji,jj) * vmask(ji,jj,1) |
---|
| 1095 | END DO |
---|
[8586] | 1096 | END DO |
---|
[10425] | 1097 | DO jj = 2, jpjm1 ! Second derivative |
---|
| 1098 | DO ji = fs_2, fs_jpim1 |
---|
| 1099 | ztv4(ji,jj,jl) = ( ztv3(ji,jj,jl) - ztv3(ji,jj-1,jl) ) * r1_e2t(ji,jj) |
---|
| 1100 | END DO |
---|
[8586] | 1101 | END DO |
---|
| 1102 | END DO |
---|
[10425] | 1103 | CALL lbc_lnk( 'icedyn_adv_umx', ztv4, 'T', 1. ) |
---|
[8586] | 1104 | ! |
---|
| 1105 | ! |
---|
[10413] | 1106 | SELECT CASE (kn_umx ) |
---|
[10425] | 1107 | ! |
---|
[8586] | 1108 | CASE( 1 ) !== 1st order central TIM ==! (Eq. 21) |
---|
[10425] | 1109 | DO jl = 1, jpl |
---|
| 1110 | DO jj = 1, jpjm1 |
---|
[13566] | 1111 | DO ji = fs_2, fs_jpim1 |
---|
[10475] | 1112 | pt_v(ji,jj,jl) = 0.5_wp * vmask(ji,jj,1) * ( pt(ji,jj+1,jl) + pt(ji,jj,jl) & |
---|
| 1113 | & - SIGN( 1._wp, pv(ji,jj) ) * ( pt(ji,jj+1,jl) - pt(ji,jj,jl) ) ) |
---|
[10425] | 1114 | END DO |
---|
[8586] | 1115 | END DO |
---|
| 1116 | END DO |
---|
| 1117 | ! |
---|
| 1118 | CASE( 2 ) !== 2nd order central TIM ==! (Eq. 23) |
---|
[10425] | 1119 | DO jl = 1, jpl |
---|
| 1120 | DO jj = 1, jpjm1 |
---|
[13566] | 1121 | DO ji = fs_2, fs_jpim1 |
---|
[10425] | 1122 | zcv = pv(ji,jj) * r1_e1v(ji,jj) * pdt * r1_e2v(ji,jj) |
---|
[10475] | 1123 | pt_v(ji,jj,jl) = 0.5_wp * vmask(ji,jj,1) * ( pt(ji,jj+1,jl) + pt(ji,jj,jl) & |
---|
| 1124 | & - zcv * ( pt(ji,jj+1,jl) - pt(ji,jj,jl) ) ) |
---|
[10425] | 1125 | END DO |
---|
[8586] | 1126 | END DO |
---|
| 1127 | END DO |
---|
| 1128 | ! |
---|
| 1129 | CASE( 3 ) !== 3rd order central TIM ==! (Eq. 24) |
---|
[10425] | 1130 | DO jl = 1, jpl |
---|
| 1131 | DO jj = 1, jpjm1 |
---|
[13566] | 1132 | DO ji = fs_2, fs_jpim1 |
---|
[10425] | 1133 | zcv = pv(ji,jj) * r1_e1v(ji,jj) * pdt * r1_e2v(ji,jj) |
---|
| 1134 | zdy2 = e2v(ji,jj) * e2v(ji,jj) |
---|
[10439] | 1135 | !!rachid zdy2 = e2v(ji,jj) * e2t(ji,jj) |
---|
[10475] | 1136 | pt_v(ji,jj,jl) = 0.5_wp * vmask(ji,jj,1) * ( ( pt (ji,jj+1,jl) + pt (ji,jj,jl) & |
---|
| 1137 | & - zcv * ( pt (ji,jj+1,jl) - pt (ji,jj,jl) ) ) & |
---|
[10446] | 1138 | & + z1_6 * zdy2 * ( zcv*zcv - 1._wp ) * ( ztv2(ji,jj+1,jl) + ztv2(ji,jj,jl) & |
---|
[10425] | 1139 | & - SIGN( 1._wp, zcv ) * ( ztv2(ji,jj+1,jl) - ztv2(ji,jj,jl) ) ) ) |
---|
| 1140 | END DO |
---|
[8586] | 1141 | END DO |
---|
| 1142 | END DO |
---|
| 1143 | ! |
---|
| 1144 | CASE( 4 ) !== 4th order central TIM ==! (Eq. 27) |
---|
[10425] | 1145 | DO jl = 1, jpl |
---|
| 1146 | DO jj = 1, jpjm1 |
---|
[13566] | 1147 | DO ji = fs_2, fs_jpim1 |
---|
[10425] | 1148 | zcv = pv(ji,jj) * r1_e1v(ji,jj) * pdt * r1_e2v(ji,jj) |
---|
| 1149 | zdy2 = e2v(ji,jj) * e2v(ji,jj) |
---|
[10439] | 1150 | !!rachid zdy2 = e2v(ji,jj) * e2t(ji,jj) |
---|
[10475] | 1151 | pt_v(ji,jj,jl) = 0.5_wp * vmask(ji,jj,1) * ( ( pt (ji,jj+1,jl) + pt (ji,jj,jl) & |
---|
| 1152 | & - zcv * ( pt (ji,jj+1,jl) - pt (ji,jj,jl) ) ) & |
---|
| 1153 | & + z1_6 * zdy2 * ( zcv*zcv - 1._wp ) * ( ztv2(ji,jj+1,jl) + ztv2(ji,jj,jl) & |
---|
| 1154 | & - 0.5_wp * zcv * ( ztv2(ji,jj+1,jl) - ztv2(ji,jj,jl) ) ) ) |
---|
[10425] | 1155 | END DO |
---|
[8586] | 1156 | END DO |
---|
| 1157 | END DO |
---|
| 1158 | ! |
---|
| 1159 | CASE( 5 ) !== 5th order central TIM ==! (Eq. 29) |
---|
[10425] | 1160 | DO jl = 1, jpl |
---|
| 1161 | DO jj = 1, jpjm1 |
---|
[13566] | 1162 | DO ji = fs_2, fs_jpim1 |
---|
[10425] | 1163 | zcv = pv(ji,jj) * r1_e1v(ji,jj) * pdt * r1_e2v(ji,jj) |
---|
| 1164 | zdy2 = e2v(ji,jj) * e2v(ji,jj) |
---|
[10439] | 1165 | !!rachid zdy2 = e2v(ji,jj) * e2t(ji,jj) |
---|
[10425] | 1166 | zdy4 = zdy2 * zdy2 |
---|
[10446] | 1167 | pt_v(ji,jj,jl) = 0.5_wp * vmask(ji,jj,1) * ( ( pt (ji,jj+1,jl) + pt (ji,jj,jl) & |
---|
[10475] | 1168 | & - zcv * ( pt (ji,jj+1,jl) - pt (ji,jj,jl) ) ) & |
---|
| 1169 | & + z1_6 * zdy2 * ( zcv*zcv - 1._wp ) * ( ztv2(ji,jj+1,jl) + ztv2(ji,jj,jl) & |
---|
| 1170 | & - 0.5_wp * zcv * ( ztv2(ji,jj+1,jl) - ztv2(ji,jj,jl) ) ) & |
---|
[10446] | 1171 | & + z1_120 * zdy4 * ( zcv*zcv - 1._wp ) * ( zcv*zcv - 4._wp ) * ( ztv4(ji,jj+1,jl) + ztv4(ji,jj,jl) & |
---|
[10425] | 1172 | & - SIGN( 1._wp, zcv ) * ( ztv4(ji,jj+1,jl) - ztv4(ji,jj,jl) ) ) ) |
---|
| 1173 | END DO |
---|
[8586] | 1174 | END DO |
---|
| 1175 | END DO |
---|
| 1176 | ! |
---|
| 1177 | END SELECT |
---|
[10439] | 1178 | ! |
---|
| 1179 | ! if pt at v-point is negative then use the upstream value |
---|
| 1180 | ! this should not be necessary if a proper sea-ice mask is set in Ultimate |
---|
| 1181 | ! to degrade the order of the scheme when necessary (for ex. at the ice edge) |
---|
[10413] | 1182 | IF( ll_neg ) THEN |
---|
[10425] | 1183 | DO jl = 1, jpl |
---|
| 1184 | DO jj = 1, jpjm1 |
---|
[13566] | 1185 | DO ji = fs_2, fs_jpim1 |
---|
[10945] | 1186 | IF( pt_v(ji,jj,jl) < 0._wp .OR. ( jmsk_small(ji,jj,jl) == 0 .AND. pamsk == 0. ) ) THEN |
---|
[10475] | 1187 | pt_v(ji,jj,jl) = 0.5_wp * vmask(ji,jj,1) * ( ( pt(ji,jj+1,jl) + pt(ji,jj,jl) ) & |
---|
| 1188 | & - SIGN( 1._wp, pv(ji,jj) ) * ( pt(ji,jj+1,jl) - pt(ji,jj,jl) ) ) |
---|
[10425] | 1189 | ENDIF |
---|
| 1190 | END DO |
---|
[10413] | 1191 | END DO |
---|
| 1192 | END DO |
---|
| 1193 | ENDIF |
---|
[10439] | 1194 | ! !-- High order flux in j-direction --! |
---|
[10425] | 1195 | DO jl = 1, jpl |
---|
| 1196 | DO jj = 1, jpjm1 |
---|
[13566] | 1197 | DO ji = fs_2, fs_jpim1 |
---|
[10439] | 1198 | pfv_ho(ji,jj,jl) = pv(ji,jj) * pt_v(ji,jj,jl) |
---|
[10425] | 1199 | END DO |
---|
[10413] | 1200 | END DO |
---|
| 1201 | END DO |
---|
[8586] | 1202 | ! |
---|
| 1203 | END SUBROUTINE ultimate_y |
---|
[10413] | 1204 | |
---|
| 1205 | |
---|
[10519] | 1206 | SUBROUTINE nonosc_ice( pamsk, pdt, pu, pv, pt, pt_ups, pfu_ups, pfv_ups, pfu_ho, pfv_ho ) |
---|
[8586] | 1207 | !!--------------------------------------------------------------------- |
---|
[10519] | 1208 | !! *** ROUTINE nonosc_ice *** |
---|
[8586] | 1209 | !! |
---|
[10446] | 1210 | !! ** Purpose : compute monotonic tracer fluxes from the upstream |
---|
[10519] | 1211 | !! scheme and the before field by a non-oscillatory algorithm |
---|
[8586] | 1212 | !! |
---|
[10446] | 1213 | !! ** Method : ... |
---|
[8586] | 1214 | !!---------------------------------------------------------------------- |
---|
[10439] | 1215 | REAL(wp) , INTENT(in ) :: pamsk ! advection of concentration (1) or other tracers (0) |
---|
| 1216 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
[10425] | 1217 | REAL(wp), DIMENSION (:,: ), INTENT(in ) :: pu ! ice i-velocity => u*e2 |
---|
| 1218 | REAL(wp), DIMENSION (:,: ), INTENT(in ) :: pv ! ice j-velocity => v*e1 |
---|
[10446] | 1219 | REAL(wp), DIMENSION (:,:,:), INTENT(in ) :: pt, pt_ups ! before field & upstream guess of after field |
---|
| 1220 | REAL(wp), DIMENSION (:,:,:), INTENT(in ) :: pfv_ups, pfu_ups ! upstream flux |
---|
[10425] | 1221 | REAL(wp), DIMENSION (:,:,:), INTENT(inout) :: pfv_ho, pfu_ho ! monotonic flux |
---|
[8586] | 1222 | ! |
---|
[10425] | 1223 | INTEGER :: ji, jj, jl ! dummy loop indices |
---|
[10475] | 1224 | REAL(wp) :: zpos, zneg, zbig, zup, zdo, z1_dt ! local scalars |
---|
| 1225 | REAL(wp) :: zau, zbu, zcu, zav, zbv, zcv, zcoef, zzt ! - - |
---|
[10425] | 1226 | REAL(wp), DIMENSION(jpi,jpj ) :: zbup, zbdo |
---|
[10439] | 1227 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: zbetup, zbetdo, zti_ups, ztj_ups |
---|
[8586] | 1228 | !!---------------------------------------------------------------------- |
---|
| 1229 | zbig = 1.e+40_wp |
---|
[10425] | 1230 | |
---|
[10413] | 1231 | ! antidiffusive flux : high order minus low order |
---|
| 1232 | ! -------------------------------------------------- |
---|
[10425] | 1233 | DO jl = 1, jpl |
---|
[13566] | 1234 | DO jj = 2, jpjm1 |
---|
[10425] | 1235 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10439] | 1236 | pfu_ho(ji,jj,jl) = pfu_ho(ji,jj,jl) - pfu_ups(ji,jj,jl) |
---|
[13566] | 1237 | END DO |
---|
| 1238 | END DO |
---|
| 1239 | DO jj = 1, jpjm1 |
---|
| 1240 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[10439] | 1241 | pfv_ho(ji,jj,jl) = pfv_ho(ji,jj,jl) - pfv_ups(ji,jj,jl) |
---|
[10425] | 1242 | END DO |
---|
| 1243 | END DO |
---|
[8586] | 1244 | END DO |
---|
| 1245 | |
---|
[10413] | 1246 | ! extreme case where pfu_ho has to be zero |
---|
| 1247 | ! ---------------------------------------- |
---|
| 1248 | ! pfu_ho |
---|
| 1249 | ! * ---> |
---|
| 1250 | ! | | * | | |
---|
| 1251 | ! | | | * | |
---|
| 1252 | ! | | | | * |
---|
[10439] | 1253 | ! t_ups : i-1 i i+1 i+2 |
---|
[10945] | 1254 | IF( ll_prelim ) THEN |
---|
[10413] | 1255 | |
---|
[10425] | 1256 | DO jl = 1, jpl |
---|
| 1257 | DO jj = 2, jpjm1 |
---|
| 1258 | DO ji = fs_2, fs_jpim1 |
---|
[10439] | 1259 | zti_ups(ji,jj,jl)= pt_ups(ji+1,jj ,jl) |
---|
| 1260 | ztj_ups(ji,jj,jl)= pt_ups(ji ,jj+1,jl) |
---|
[10425] | 1261 | END DO |
---|
[10413] | 1262 | END DO |
---|
| 1263 | END DO |
---|
[10439] | 1264 | CALL lbc_lnk_multi( 'icedyn_adv_umx', zti_ups, 'T', 1., ztj_ups, 'T', 1. ) |
---|
[8586] | 1265 | |
---|
[10425] | 1266 | DO jl = 1, jpl |
---|
| 1267 | DO jj = 2, jpjm1 |
---|
| 1268 | DO ji = fs_2, fs_jpim1 |
---|
[10475] | 1269 | IF ( pfu_ho(ji,jj,jl) * ( pt_ups(ji+1,jj ,jl) - pt_ups(ji,jj,jl) ) <= 0._wp .AND. & |
---|
| 1270 | & pfv_ho(ji,jj,jl) * ( pt_ups(ji ,jj+1,jl) - pt_ups(ji,jj,jl) ) <= 0._wp ) THEN |
---|
[10425] | 1271 | ! |
---|
[10475] | 1272 | IF( pfu_ho(ji,jj,jl) * ( zti_ups(ji+1,jj ,jl) - zti_ups(ji,jj,jl) ) <= 0._wp .AND. & |
---|
| 1273 | & pfv_ho(ji,jj,jl) * ( ztj_ups(ji ,jj+1,jl) - ztj_ups(ji,jj,jl) ) <= 0._wp ) THEN |
---|
| 1274 | pfu_ho(ji,jj,jl)=0._wp |
---|
| 1275 | pfv_ho(ji,jj,jl)=0._wp |
---|
[10439] | 1276 | ENDIF |
---|
[10425] | 1277 | ! |
---|
[10475] | 1278 | IF( pfu_ho(ji,jj,jl) * ( pt_ups(ji,jj,jl) - pt_ups(ji-1,jj ,jl) ) <= 0._wp .AND. & |
---|
| 1279 | & pfv_ho(ji,jj,jl) * ( pt_ups(ji,jj,jl) - pt_ups(ji ,jj-1,jl) ) <= 0._wp ) THEN |
---|
| 1280 | pfu_ho(ji,jj,jl)=0._wp |
---|
| 1281 | pfv_ho(ji,jj,jl)=0._wp |
---|
[10439] | 1282 | ENDIF |
---|
[10425] | 1283 | ! |
---|
| 1284 | ENDIF |
---|
| 1285 | END DO |
---|
[10413] | 1286 | END DO |
---|
| 1287 | END DO |
---|
[10425] | 1288 | CALL lbc_lnk_multi( 'icedyn_adv_umx', pfu_ho, 'U', -1., pfv_ho, 'V', -1. ) ! lateral boundary cond. |
---|
[10413] | 1289 | |
---|
| 1290 | ENDIF |
---|
[10425] | 1291 | |
---|
[8586] | 1292 | ! Search local extrema |
---|
| 1293 | ! -------------------- |
---|
[10439] | 1294 | ! max/min of pt & pt_ups with large negative/positive value (-/+zbig) outside ice cover |
---|
[10425] | 1295 | z1_dt = 1._wp / pdt |
---|
| 1296 | DO jl = 1, jpl |
---|
| 1297 | |
---|
| 1298 | DO jj = 1, jpj |
---|
| 1299 | DO ji = 1, jpi |
---|
[10439] | 1300 | IF ( pt(ji,jj,jl) <= 0._wp .AND. pt_ups(ji,jj,jl) <= 0._wp ) THEN |
---|
[10425] | 1301 | zbup(ji,jj) = -zbig |
---|
| 1302 | zbdo(ji,jj) = zbig |
---|
[10439] | 1303 | ELSEIF( pt(ji,jj,jl) <= 0._wp .AND. pt_ups(ji,jj,jl) > 0._wp ) THEN |
---|
| 1304 | zbup(ji,jj) = pt_ups(ji,jj,jl) |
---|
| 1305 | zbdo(ji,jj) = pt_ups(ji,jj,jl) |
---|
| 1306 | ELSEIF( pt(ji,jj,jl) > 0._wp .AND. pt_ups(ji,jj,jl) <= 0._wp ) THEN |
---|
[10425] | 1307 | zbup(ji,jj) = pt(ji,jj,jl) |
---|
| 1308 | zbdo(ji,jj) = pt(ji,jj,jl) |
---|
| 1309 | ELSE |
---|
[10439] | 1310 | zbup(ji,jj) = MAX( pt(ji,jj,jl) , pt_ups(ji,jj,jl) ) |
---|
| 1311 | zbdo(ji,jj) = MIN( pt(ji,jj,jl) , pt_ups(ji,jj,jl) ) |
---|
[10425] | 1312 | ENDIF |
---|
| 1313 | END DO |
---|
[10413] | 1314 | END DO |
---|
[8586] | 1315 | |
---|
[10425] | 1316 | DO jj = 2, jpjm1 |
---|
| 1317 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 1318 | ! |
---|
[10475] | 1319 | zup = MAX( zbup(ji,jj), zbup(ji-1,jj), zbup(ji+1,jj), zbup(ji,jj-1), zbup(ji,jj+1) ) ! search max/min in neighbourhood |
---|
| 1320 | zdo = MIN( zbdo(ji,jj), zbdo(ji-1,jj), zbdo(ji+1,jj), zbdo(ji,jj-1), zbdo(ji,jj+1) ) |
---|
[10425] | 1321 | ! |
---|
[10475] | 1322 | zpos = MAX( 0._wp, pfu_ho(ji-1,jj ,jl) ) - MIN( 0._wp, pfu_ho(ji ,jj ,jl) ) & ! positive/negative part of the flux |
---|
| 1323 | & + MAX( 0._wp, pfv_ho(ji ,jj-1,jl) ) - MIN( 0._wp, pfv_ho(ji ,jj ,jl) ) |
---|
| 1324 | zneg = MAX( 0._wp, pfu_ho(ji ,jj ,jl) ) - MIN( 0._wp, pfu_ho(ji-1,jj ,jl) ) & |
---|
| 1325 | & + MAX( 0._wp, pfv_ho(ji ,jj ,jl) ) - MIN( 0._wp, pfv_ho(ji ,jj-1,jl) ) |
---|
[10425] | 1326 | ! |
---|
[10475] | 1327 | zpos = zpos - (pt(ji,jj,jl) * MIN( 0., pu(ji,jj) - pu(ji-1,jj) ) + pt(ji,jj,jl) * MIN( 0., pv(ji,jj) - pv(ji,jj-1) ) & |
---|
[10439] | 1328 | & ) * ( 1. - pamsk ) |
---|
[10475] | 1329 | zneg = zneg + (pt(ji,jj,jl) * MAX( 0., pu(ji,jj) - pu(ji-1,jj) ) + pt(ji,jj,jl) * MAX( 0., pv(ji,jj) - pv(ji,jj-1) ) & |
---|
[10439] | 1330 | & ) * ( 1. - pamsk ) |
---|
[10425] | 1331 | ! |
---|
| 1332 | ! ! up & down beta terms |
---|
[10911] | 1333 | ! clem: zbetup and zbetdo must be 0 for zpos>1.e-10 & zneg>1.e-10 (do not put 0 instead of 1.e-10 !!!) |
---|
| 1334 | IF( zpos > epsi10 ) THEN ; zbetup(ji,jj,jl) = MAX( 0._wp, zup - pt_ups(ji,jj,jl) ) / zpos * e1e2t(ji,jj) * z1_dt |
---|
| 1335 | ELSE ; zbetup(ji,jj,jl) = 0._wp ! zbig |
---|
[10425] | 1336 | ENDIF |
---|
| 1337 | ! |
---|
[10911] | 1338 | IF( zneg > epsi10 ) THEN ; zbetdo(ji,jj,jl) = MAX( 0._wp, pt_ups(ji,jj,jl) - zdo ) / zneg * e1e2t(ji,jj) * z1_dt |
---|
| 1339 | ELSE ; zbetdo(ji,jj,jl) = 0._wp ! zbig |
---|
[10425] | 1340 | ENDIF |
---|
| 1341 | ! |
---|
| 1342 | ! if all the points are outside ice cover |
---|
[10475] | 1343 | IF( zup == -zbig ) zbetup(ji,jj,jl) = 0._wp ! zbig |
---|
| 1344 | IF( zdo == zbig ) zbetdo(ji,jj,jl) = 0._wp ! zbig |
---|
[10425] | 1345 | ! |
---|
| 1346 | END DO |
---|
[8586] | 1347 | END DO |
---|
| 1348 | END DO |
---|
[10425] | 1349 | CALL lbc_lnk_multi( 'icedyn_adv_umx', zbetup, 'T', 1., zbetdo, 'T', 1. ) ! lateral boundary cond. (unchanged sign) |
---|
[8586] | 1350 | |
---|
[10413] | 1351 | |
---|
| 1352 | ! monotonic flux in the y direction |
---|
| 1353 | ! --------------------------------- |
---|
[10425] | 1354 | DO jl = 1, jpl |
---|
[13566] | 1355 | DO jj = 2, jpjm1 |
---|
[10425] | 1356 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 1357 | zau = MIN( 1._wp , zbetdo(ji,jj,jl) , zbetup(ji+1,jj,jl) ) |
---|
| 1358 | zbu = MIN( 1._wp , zbetup(ji,jj,jl) , zbetdo(ji+1,jj,jl) ) |
---|
[10475] | 1359 | zcu = 0.5_wp + SIGN( 0.5_wp , pfu_ho(ji,jj,jl) ) |
---|
[10425] | 1360 | ! |
---|
| 1361 | zcoef = ( zcu * zau + ( 1._wp - zcu ) * zbu ) |
---|
[10439] | 1362 | ! |
---|
| 1363 | pfu_ho(ji,jj,jl) = pfu_ho(ji,jj,jl) * zcoef + pfu_ups(ji,jj,jl) |
---|
| 1364 | ! |
---|
[10425] | 1365 | END DO |
---|
[8637] | 1366 | END DO |
---|
[10413] | 1367 | |
---|
[10425] | 1368 | DO jj = 1, jpjm1 |
---|
[13566] | 1369 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[10425] | 1370 | zav = MIN( 1._wp , zbetdo(ji,jj,jl) , zbetup(ji,jj+1,jl) ) |
---|
| 1371 | zbv = MIN( 1._wp , zbetup(ji,jj,jl) , zbetdo(ji,jj+1,jl) ) |
---|
[10475] | 1372 | zcv = 0.5_wp + SIGN( 0.5_wp , pfv_ho(ji,jj,jl) ) |
---|
[10425] | 1373 | ! |
---|
| 1374 | zcoef = ( zcv * zav + ( 1._wp - zcv ) * zbv ) |
---|
[10439] | 1375 | ! |
---|
| 1376 | pfv_ho(ji,jj,jl) = pfv_ho(ji,jj,jl) * zcoef + pfv_ups(ji,jj,jl) |
---|
| 1377 | ! |
---|
[10425] | 1378 | END DO |
---|
[8586] | 1379 | END DO |
---|
[10413] | 1380 | |
---|
| 1381 | END DO |
---|
[8586] | 1382 | ! |
---|
[10519] | 1383 | END SUBROUTINE nonosc_ice |
---|
[8586] | 1384 | |
---|
[10446] | 1385 | |
---|
| 1386 | SUBROUTINE limiter_x( pdt, pu, pt, pfu_ups, pfu_ho ) |
---|
[10413] | 1387 | !!--------------------------------------------------------------------- |
---|
| 1388 | !! *** ROUTINE limiter_x *** |
---|
| 1389 | !! |
---|
| 1390 | !! ** Purpose : compute flux limiter |
---|
| 1391 | !!---------------------------------------------------------------------- |
---|
[10446] | 1392 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
| 1393 | REAL(wp), DIMENSION(:,: ), INTENT(in ) :: pu ! ice i-velocity => u*e2 |
---|
| 1394 | REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: pt ! ice tracer |
---|
| 1395 | REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: pfu_ups ! upstream flux |
---|
| 1396 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: pfu_ho ! high order flux |
---|
[10413] | 1397 | ! |
---|
| 1398 | REAL(wp) :: Cr, Rjm, Rj, Rjp, uCFL, zpsi, zh3, zlimiter, Rr |
---|
[10425] | 1399 | INTEGER :: ji, jj, jl ! dummy loop indices |
---|
| 1400 | REAL(wp), DIMENSION (jpi,jpj,jpl) :: zslpx ! tracer slopes |
---|
[10413] | 1401 | !!---------------------------------------------------------------------- |
---|
| 1402 | ! |
---|
[10425] | 1403 | DO jl = 1, jpl |
---|
| 1404 | DO jj = 2, jpjm1 |
---|
| 1405 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 1406 | zslpx(ji,jj,jl) = ( pt(ji+1,jj,jl) - pt(ji,jj,jl) ) * umask(ji,jj,1) |
---|
| 1407 | END DO |
---|
[10413] | 1408 | END DO |
---|
| 1409 | END DO |
---|
[10425] | 1410 | CALL lbc_lnk( 'icedyn_adv_umx', zslpx, 'U', -1.) ! lateral boundary cond. |
---|
[10413] | 1411 | |
---|
[10425] | 1412 | DO jl = 1, jpl |
---|
| 1413 | DO jj = 2, jpjm1 |
---|
| 1414 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 1415 | uCFL = pdt * ABS( pu(ji,jj) ) * r1_e1e2t(ji,jj) |
---|
| 1416 | |
---|
| 1417 | Rjm = zslpx(ji-1,jj,jl) |
---|
| 1418 | Rj = zslpx(ji ,jj,jl) |
---|
| 1419 | Rjp = zslpx(ji+1,jj,jl) |
---|
[10413] | 1420 | |
---|
[10945] | 1421 | IF( np_limiter == 3 ) THEN |
---|
[10413] | 1422 | |
---|
[10425] | 1423 | IF( pu(ji,jj) > 0. ) THEN ; Rr = Rjm |
---|
| 1424 | ELSE ; Rr = Rjp |
---|
| 1425 | ENDIF |
---|
[10413] | 1426 | |
---|
[10425] | 1427 | zh3 = pfu_ho(ji,jj,jl) - pfu_ups(ji,jj,jl) |
---|
| 1428 | IF( Rj > 0. ) THEN |
---|
| 1429 | zlimiter = MAX( 0., MIN( zh3, MAX(-Rr * 0.5 * ABS(pu(ji,jj)), & |
---|
| 1430 | & MIN( 2. * Rr * 0.5 * ABS(pu(ji,jj)), zh3, 1.5 * Rj * 0.5 * ABS(pu(ji,jj)) ) ) ) ) |
---|
| 1431 | ELSE |
---|
| 1432 | zlimiter = -MAX( 0., MIN(-zh3, MAX( Rr * 0.5 * ABS(pu(ji,jj)), & |
---|
| 1433 | & MIN(-2. * Rr * 0.5 * ABS(pu(ji,jj)), -zh3, -1.5 * Rj * 0.5 * ABS(pu(ji,jj)) ) ) ) ) |
---|
| 1434 | ENDIF |
---|
| 1435 | pfu_ho(ji,jj,jl) = pfu_ups(ji,jj,jl) + zlimiter |
---|
[10413] | 1436 | |
---|
[10945] | 1437 | ELSEIF( np_limiter == 2 ) THEN |
---|
[10425] | 1438 | IF( Rj /= 0. ) THEN |
---|
| 1439 | IF( pu(ji,jj) > 0. ) THEN ; Cr = Rjm / Rj |
---|
| 1440 | ELSE ; Cr = Rjp / Rj |
---|
| 1441 | ENDIF |
---|
| 1442 | ELSE |
---|
| 1443 | Cr = 0. |
---|
[10413] | 1444 | ENDIF |
---|
[10425] | 1445 | |
---|
| 1446 | ! -- superbee -- |
---|
| 1447 | zpsi = MAX( 0., MAX( MIN(1.,2.*Cr), MIN(2.,Cr) ) ) |
---|
| 1448 | ! -- van albada 2 -- |
---|
| 1449 | !!zpsi = 2.*Cr / (Cr*Cr+1.) |
---|
| 1450 | ! -- sweby (with beta=1) -- |
---|
| 1451 | !!zpsi = MAX( 0., MAX( MIN(1.,1.*Cr), MIN(1.,Cr) ) ) |
---|
| 1452 | ! -- van Leer -- |
---|
| 1453 | !!zpsi = ( Cr + ABS(Cr) ) / ( 1. + ABS(Cr) ) |
---|
| 1454 | ! -- ospre -- |
---|
| 1455 | !!zpsi = 1.5 * ( Cr*Cr + Cr ) / ( Cr*Cr + Cr + 1. ) |
---|
| 1456 | ! -- koren -- |
---|
| 1457 | !!zpsi = MAX( 0., MIN( 2.*Cr, MIN( (1.+2*Cr)/3., 2. ) ) ) |
---|
| 1458 | ! -- charm -- |
---|
| 1459 | !IF( Cr > 0. ) THEN ; zpsi = Cr * (3.*Cr + 1.) / ( (Cr + 1.) * (Cr + 1.) ) |
---|
| 1460 | !ELSE ; zpsi = 0. |
---|
[10413] | 1461 | !ENDIF |
---|
[10425] | 1462 | ! -- van albada 1 -- |
---|
| 1463 | !!zpsi = (Cr*Cr + Cr) / (Cr*Cr +1) |
---|
| 1464 | ! -- smart -- |
---|
| 1465 | !!zpsi = MAX( 0., MIN( 2.*Cr, MIN( 0.25+0.75*Cr, 4. ) ) ) |
---|
| 1466 | ! -- umist -- |
---|
| 1467 | !!zpsi = MAX( 0., MIN( 2.*Cr, MIN( 0.25+0.75*Cr, MIN(0.75+0.25*Cr, 2. ) ) ) ) |
---|
[10413] | 1468 | |
---|
[10425] | 1469 | ! high order flux corrected by the limiter |
---|
| 1470 | pfu_ho(ji,jj,jl) = pfu_ho(ji,jj,jl) - ABS( pu(ji,jj) ) * ( (1.-zpsi) + uCFL*zpsi ) * Rj * 0.5 |
---|
[10413] | 1471 | |
---|
[10425] | 1472 | ENDIF |
---|
| 1473 | END DO |
---|
[10413] | 1474 | END DO |
---|
| 1475 | END DO |
---|
[10425] | 1476 | CALL lbc_lnk( 'icedyn_adv_umx', pfu_ho, 'U', -1.) ! lateral boundary cond. |
---|
[10413] | 1477 | ! |
---|
| 1478 | END SUBROUTINE limiter_x |
---|
| 1479 | |
---|
[10446] | 1480 | |
---|
| 1481 | SUBROUTINE limiter_y( pdt, pv, pt, pfv_ups, pfv_ho ) |
---|
[10413] | 1482 | !!--------------------------------------------------------------------- |
---|
| 1483 | !! *** ROUTINE limiter_y *** |
---|
| 1484 | !! |
---|
| 1485 | !! ** Purpose : compute flux limiter |
---|
| 1486 | !!---------------------------------------------------------------------- |
---|
[10446] | 1487 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
| 1488 | REAL(wp), DIMENSION (:,: ), INTENT(in ) :: pv ! ice i-velocity => u*e2 |
---|
| 1489 | REAL(wp), DIMENSION (:,:,:), INTENT(in ) :: pt ! ice tracer |
---|
| 1490 | REAL(wp), DIMENSION (:,:,:), INTENT(in ) :: pfv_ups ! upstream flux |
---|
| 1491 | REAL(wp), DIMENSION (:,:,:), INTENT(inout) :: pfv_ho ! high order flux |
---|
[10413] | 1492 | ! |
---|
| 1493 | REAL(wp) :: Cr, Rjm, Rj, Rjp, vCFL, zpsi, zh3, zlimiter, Rr |
---|
[10425] | 1494 | INTEGER :: ji, jj, jl ! dummy loop indices |
---|
| 1495 | REAL(wp), DIMENSION (jpi,jpj,jpl) :: zslpy ! tracer slopes |
---|
[10413] | 1496 | !!---------------------------------------------------------------------- |
---|
| 1497 | ! |
---|
[10425] | 1498 | DO jl = 1, jpl |
---|
| 1499 | DO jj = 2, jpjm1 |
---|
| 1500 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 1501 | zslpy(ji,jj,jl) = ( pt(ji,jj+1,jl) - pt(ji,jj,jl) ) * vmask(ji,jj,1) |
---|
| 1502 | END DO |
---|
[10413] | 1503 | END DO |
---|
| 1504 | END DO |
---|
[10425] | 1505 | CALL lbc_lnk( 'icedyn_adv_umx', zslpy, 'V', -1.) ! lateral boundary cond. |
---|
[10413] | 1506 | |
---|
[10425] | 1507 | DO jl = 1, jpl |
---|
| 1508 | DO jj = 2, jpjm1 |
---|
| 1509 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 1510 | vCFL = pdt * ABS( pv(ji,jj) ) * r1_e1e2t(ji,jj) |
---|
[10413] | 1511 | |
---|
[10425] | 1512 | Rjm = zslpy(ji,jj-1,jl) |
---|
| 1513 | Rj = zslpy(ji,jj ,jl) |
---|
| 1514 | Rjp = zslpy(ji,jj+1,jl) |
---|
[10413] | 1515 | |
---|
[10945] | 1516 | IF( np_limiter == 3 ) THEN |
---|
[10413] | 1517 | |
---|
[10425] | 1518 | IF( pv(ji,jj) > 0. ) THEN ; Rr = Rjm |
---|
| 1519 | ELSE ; Rr = Rjp |
---|
| 1520 | ENDIF |
---|
[10413] | 1521 | |
---|
[10425] | 1522 | zh3 = pfv_ho(ji,jj,jl) - pfv_ups(ji,jj,jl) |
---|
| 1523 | IF( Rj > 0. ) THEN |
---|
| 1524 | zlimiter = MAX( 0., MIN( zh3, MAX(-Rr * 0.5 * ABS(pv(ji,jj)), & |
---|
| 1525 | & MIN( 2. * Rr * 0.5 * ABS(pv(ji,jj)), zh3, 1.5 * Rj * 0.5 * ABS(pv(ji,jj)) ) ) ) ) |
---|
| 1526 | ELSE |
---|
| 1527 | zlimiter = -MAX( 0., MIN(-zh3, MAX( Rr * 0.5 * ABS(pv(ji,jj)), & |
---|
| 1528 | & MIN(-2. * Rr * 0.5 * ABS(pv(ji,jj)), -zh3, -1.5 * Rj * 0.5 * ABS(pv(ji,jj)) ) ) ) ) |
---|
| 1529 | ENDIF |
---|
| 1530 | pfv_ho(ji,jj,jl) = pfv_ups(ji,jj,jl) + zlimiter |
---|
[10413] | 1531 | |
---|
[10945] | 1532 | ELSEIF( np_limiter == 2 ) THEN |
---|
[10413] | 1533 | |
---|
[10425] | 1534 | IF( Rj /= 0. ) THEN |
---|
| 1535 | IF( pv(ji,jj) > 0. ) THEN ; Cr = Rjm / Rj |
---|
| 1536 | ELSE ; Cr = Rjp / Rj |
---|
| 1537 | ENDIF |
---|
| 1538 | ELSE |
---|
| 1539 | Cr = 0. |
---|
| 1540 | ENDIF |
---|
[10413] | 1541 | |
---|
[10425] | 1542 | ! -- superbee -- |
---|
| 1543 | zpsi = MAX( 0., MAX( MIN(1.,2.*Cr), MIN(2.,Cr) ) ) |
---|
| 1544 | ! -- van albada 2 -- |
---|
| 1545 | !!zpsi = 2.*Cr / (Cr*Cr+1.) |
---|
| 1546 | ! -- sweby (with beta=1) -- |
---|
| 1547 | !!zpsi = MAX( 0., MAX( MIN(1.,1.*Cr), MIN(1.,Cr) ) ) |
---|
| 1548 | ! -- van Leer -- |
---|
| 1549 | !!zpsi = ( Cr + ABS(Cr) ) / ( 1. + ABS(Cr) ) |
---|
| 1550 | ! -- ospre -- |
---|
| 1551 | !!zpsi = 1.5 * ( Cr*Cr + Cr ) / ( Cr*Cr + Cr + 1. ) |
---|
| 1552 | ! -- koren -- |
---|
| 1553 | !!zpsi = MAX( 0., MIN( 2.*Cr, MIN( (1.+2*Cr)/3., 2. ) ) ) |
---|
| 1554 | ! -- charm -- |
---|
| 1555 | !IF( Cr > 0. ) THEN ; zpsi = Cr * (3.*Cr + 1.) / ( (Cr + 1.) * (Cr + 1.) ) |
---|
| 1556 | !ELSE ; zpsi = 0. |
---|
| 1557 | !ENDIF |
---|
| 1558 | ! -- van albada 1 -- |
---|
| 1559 | !!zpsi = (Cr*Cr + Cr) / (Cr*Cr +1) |
---|
| 1560 | ! -- smart -- |
---|
| 1561 | !!zpsi = MAX( 0., MIN( 2.*Cr, MIN( 0.25+0.75*Cr, 4. ) ) ) |
---|
| 1562 | ! -- umist -- |
---|
| 1563 | !!zpsi = MAX( 0., MIN( 2.*Cr, MIN( 0.25+0.75*Cr, MIN(0.75+0.25*Cr, 2. ) ) ) ) |
---|
[10413] | 1564 | |
---|
[10425] | 1565 | ! high order flux corrected by the limiter |
---|
| 1566 | pfv_ho(ji,jj,jl) = pfv_ho(ji,jj,jl) - ABS( pv(ji,jj) ) * ( (1.-zpsi) + vCFL*zpsi ) * Rj * 0.5 |
---|
| 1567 | |
---|
| 1568 | ENDIF |
---|
| 1569 | END DO |
---|
[10413] | 1570 | END DO |
---|
| 1571 | END DO |
---|
[10425] | 1572 | CALL lbc_lnk( 'icedyn_adv_umx', pfv_ho, 'V', -1.) ! lateral boundary cond. |
---|
[10413] | 1573 | ! |
---|
| 1574 | END SUBROUTINE limiter_y |
---|
| 1575 | |
---|
[10911] | 1576 | |
---|
[13284] | 1577 | SUBROUTINE Hbig( pdt, phi_max, phs_max, phip_max, psi_max, pes_max, pei_max, & |
---|
| 1578 | & pv_i, pv_s, pa_i, pa_ip, pv_ip, psv_i, pe_s, pe_i ) |
---|
[10911] | 1579 | !!------------------------------------------------------------------- |
---|
| 1580 | !! *** ROUTINE Hbig *** |
---|
| 1581 | !! |
---|
| 1582 | !! ** Purpose : Thickness correction in case advection scheme creates |
---|
| 1583 | !! abnormally tick ice or snow |
---|
| 1584 | !! |
---|
| 1585 | !! ** Method : 1- check whether ice thickness is larger than the surrounding 9-points |
---|
| 1586 | !! (before advection) and reduce it by adapting ice concentration |
---|
| 1587 | !! 2- check whether snow thickness is larger than the surrounding 9-points |
---|
| 1588 | !! (before advection) and reduce it by sending the excess in the ocean |
---|
| 1589 | !! |
---|
| 1590 | !! ** input : Max thickness of the surrounding 9-points |
---|
| 1591 | !!------------------------------------------------------------------- |
---|
[13284] | 1592 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
| 1593 | REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: phi_max, phs_max, phip_max, psi_max ! max ice thick from surrounding 9-pts |
---|
| 1594 | REAL(wp), DIMENSION(:,:,:,:), INTENT(in ) :: pes_max |
---|
| 1595 | REAL(wp), DIMENSION(:,:,:,:), INTENT(in ) :: pei_max |
---|
| 1596 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_i, pv_s, pa_i, pa_ip, pv_ip, psv_i |
---|
[10911] | 1597 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_s |
---|
[13284] | 1598 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_i |
---|
[10911] | 1599 | ! |
---|
[13284] | 1600 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
---|
| 1601 | REAL(wp) :: z1_dt, zhip, zhi, zhs, zsi, zes, zei, zfra |
---|
[10911] | 1602 | !!------------------------------------------------------------------- |
---|
| 1603 | ! |
---|
[10930] | 1604 | z1_dt = 1._wp / pdt |
---|
[10911] | 1605 | ! |
---|
| 1606 | DO jl = 1, jpl |
---|
| 1607 | DO jj = 1, jpj |
---|
| 1608 | DO ji = 1, jpi |
---|
| 1609 | IF ( pv_i(ji,jj,jl) > 0._wp ) THEN |
---|
| 1610 | ! |
---|
| 1611 | ! ! -- check h_ip -- ! |
---|
| 1612 | ! if h_ip is larger than the surrounding 9 pts => reduce h_ip and increase a_ip |
---|
[13284] | 1613 | IF( ln_pnd_LEV .AND. pv_ip(ji,jj,jl) > 0._wp ) THEN |
---|
[10911] | 1614 | zhip = pv_ip(ji,jj,jl) / MAX( epsi20, pa_ip(ji,jj,jl) ) |
---|
| 1615 | IF( zhip > phip_max(ji,jj,jl) .AND. pa_ip(ji,jj,jl) < 0.15 ) THEN |
---|
| 1616 | pa_ip(ji,jj,jl) = pv_ip(ji,jj,jl) / phip_max(ji,jj,jl) |
---|
| 1617 | ENDIF |
---|
| 1618 | ENDIF |
---|
| 1619 | ! |
---|
| 1620 | ! ! -- check h_i -- ! |
---|
| 1621 | ! if h_i is larger than the surrounding 9 pts => reduce h_i and increase a_i |
---|
| 1622 | zhi = pv_i(ji,jj,jl) / pa_i(ji,jj,jl) |
---|
| 1623 | IF( zhi > phi_max(ji,jj,jl) .AND. pa_i(ji,jj,jl) < 0.15 ) THEN |
---|
| 1624 | 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) |
---|
| 1625 | ENDIF |
---|
| 1626 | ! |
---|
| 1627 | ! ! -- check h_s -- ! |
---|
| 1628 | ! if h_s is larger than the surrounding 9 pts => put the snow excess in the ocean |
---|
| 1629 | zhs = pv_s(ji,jj,jl) / pa_i(ji,jj,jl) |
---|
| 1630 | IF( pv_s(ji,jj,jl) > 0._wp .AND. zhs > phs_max(ji,jj,jl) .AND. pa_i(ji,jj,jl) < 0.15 ) THEN |
---|
| 1631 | zfra = phs_max(ji,jj,jl) / MAX( zhs, epsi20 ) |
---|
| 1632 | ! |
---|
[10930] | 1633 | 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 |
---|
| 1634 | 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 |
---|
[10911] | 1635 | ! |
---|
| 1636 | pe_s(ji,jj,1:nlay_s,jl) = pe_s(ji,jj,1:nlay_s,jl) * zfra |
---|
| 1637 | pv_s(ji,jj,jl) = pa_i(ji,jj,jl) * phs_max(ji,jj,jl) |
---|
| 1638 | ENDIF |
---|
[12197] | 1639 | ! |
---|
[13284] | 1640 | ! ! -- check s_i -- ! |
---|
| 1641 | ! if s_i is larger than the surrounding 9 pts => put salt excess in the ocean |
---|
| 1642 | zsi = psv_i(ji,jj,jl) / pv_i(ji,jj,jl) |
---|
| 1643 | IF( zsi > psi_max(ji,jj,jl) .AND. pa_i(ji,jj,jl) < 0.15 ) THEN |
---|
| 1644 | zfra = psi_max(ji,jj,jl) / zsi |
---|
| 1645 | sfx_res(ji,jj) = sfx_res(ji,jj) + psv_i(ji,jj,jl) * ( 1._wp - zfra ) * rhoi * z1_dt |
---|
| 1646 | psv_i(ji,jj,jl) = psv_i(ji,jj,jl) * zfra |
---|
| 1647 | ENDIF |
---|
| 1648 | ! |
---|
[12197] | 1649 | ENDIF |
---|
| 1650 | END DO |
---|
| 1651 | END DO |
---|
| 1652 | END DO |
---|
| 1653 | ! |
---|
[13284] | 1654 | ! ! -- check e_i/v_i -- ! |
---|
| 1655 | DO jl = 1, jpl |
---|
| 1656 | DO jk = 1, nlay_i |
---|
| 1657 | DO jj = 1, jpj |
---|
| 1658 | DO ji = 1, jpi |
---|
| 1659 | IF ( pv_i(ji,jj,jl) > 0._wp ) THEN |
---|
| 1660 | ! if e_i/v_i is larger than the surrounding 9 pts => put the heat excess in the ocean |
---|
| 1661 | zei = pe_i(ji,jj,jk,jl) / pv_i(ji,jj,jl) |
---|
| 1662 | IF( zei > pei_max(ji,jj,jk,jl) .AND. pa_i(ji,jj,jl) < 0.15 ) THEN |
---|
| 1663 | zfra = pei_max(ji,jj,jk,jl) / zei |
---|
| 1664 | hfx_res(ji,jj) = hfx_res(ji,jj) - pe_i(ji,jj,jk,jl) * ( 1._wp - zfra ) * z1_dt ! W.m-2 <0 |
---|
| 1665 | pe_i(ji,jj,jk,jl) = pe_i(ji,jj,jk,jl) * zfra |
---|
| 1666 | ENDIF |
---|
| 1667 | ENDIF |
---|
| 1668 | END DO |
---|
| 1669 | END DO |
---|
| 1670 | END DO |
---|
| 1671 | END DO |
---|
| 1672 | ! ! -- check e_s/v_s -- ! |
---|
| 1673 | DO jl = 1, jpl |
---|
| 1674 | DO jk = 1, nlay_s |
---|
| 1675 | DO jj = 1, jpj |
---|
| 1676 | DO ji = 1, jpi |
---|
| 1677 | IF ( pv_s(ji,jj,jl) > 0._wp ) THEN |
---|
| 1678 | ! if e_s/v_s is larger than the surrounding 9 pts => put the heat excess in the ocean |
---|
| 1679 | zes = pe_s(ji,jj,jk,jl) / pv_s(ji,jj,jl) |
---|
| 1680 | IF( zes > pes_max(ji,jj,jk,jl) .AND. pa_i(ji,jj,jl) < 0.15 ) THEN |
---|
| 1681 | zfra = pes_max(ji,jj,jk,jl) / zes |
---|
| 1682 | hfx_res(ji,jj) = hfx_res(ji,jj) - pe_s(ji,jj,jk,jl) * ( 1._wp - zfra ) * z1_dt ! W.m-2 <0 |
---|
| 1683 | pe_s(ji,jj,jk,jl) = pe_s(ji,jj,jk,jl) * zfra |
---|
| 1684 | ENDIF |
---|
| 1685 | ENDIF |
---|
| 1686 | END DO |
---|
| 1687 | END DO |
---|
| 1688 | END DO |
---|
| 1689 | END DO |
---|
| 1690 | ! |
---|
[12197] | 1691 | END SUBROUTINE Hbig |
---|
| 1692 | |
---|
| 1693 | |
---|
| 1694 | SUBROUTINE Hsnow( pdt, pv_i, pv_s, pa_i, pa_ip, pe_s ) |
---|
| 1695 | !!------------------------------------------------------------------- |
---|
| 1696 | !! *** ROUTINE Hsnow *** |
---|
| 1697 | !! |
---|
| 1698 | !! ** Purpose : 1- Check snow load after advection |
---|
| 1699 | !! 2- Correct pond concentration to avoid a_ip > a_i |
---|
| 1700 | !! |
---|
| 1701 | !! ** Method : If snow load makes snow-ice interface to deplet below the ocean surface |
---|
| 1702 | !! then put the snow excess in the ocean |
---|
| 1703 | !! |
---|
| 1704 | !! ** Notes : This correction is crucial because of the call to routine icecor afterwards |
---|
| 1705 | !! which imposes a mini of ice thick. (rn_himin). This imposed mini can artificially |
---|
| 1706 | !! make the snow very thick (if concentration decreases drastically) |
---|
| 1707 | !! This behavior has been seen in Ultimate-Macho and supposedly it can also be true for Prather |
---|
| 1708 | !!------------------------------------------------------------------- |
---|
| 1709 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
| 1710 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_i, pv_s, pa_i, pa_ip |
---|
| 1711 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_s |
---|
| 1712 | ! |
---|
| 1713 | INTEGER :: ji, jj, jl ! dummy loop indices |
---|
| 1714 | REAL(wp) :: z1_dt, zvs_excess, zfra |
---|
| 1715 | !!------------------------------------------------------------------- |
---|
| 1716 | ! |
---|
| 1717 | z1_dt = 1._wp / pdt |
---|
| 1718 | ! |
---|
| 1719 | ! -- check snow load -- ! |
---|
| 1720 | DO jl = 1, jpl |
---|
| 1721 | DO jj = 1, jpj |
---|
| 1722 | DO ji = 1, jpi |
---|
| 1723 | IF ( pv_i(ji,jj,jl) > 0._wp ) THEN |
---|
[10911] | 1724 | ! |
---|
| 1725 | zvs_excess = MAX( 0._wp, pv_s(ji,jj,jl) - pv_i(ji,jj,jl) * (rau0-rhoi) * r1_rhos ) |
---|
[12197] | 1726 | ! |
---|
| 1727 | IF( zvs_excess > 0._wp ) THEN ! snow-ice interface deplets below the ocean surface |
---|
| 1728 | ! put snow excess in the ocean |
---|
[10911] | 1729 | zfra = ( pv_s(ji,jj,jl) - zvs_excess ) / MAX( pv_s(ji,jj,jl), epsi20 ) |
---|
[10930] | 1730 | wfx_res(ji,jj) = wfx_res(ji,jj) + zvs_excess * rhos * z1_dt |
---|
| 1731 | 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] | 1732 | ! correct snow volume and heat content |
---|
[10911] | 1733 | pe_s(ji,jj,1:nlay_s,jl) = pe_s(ji,jj,1:nlay_s,jl) * zfra |
---|
| 1734 | pv_s(ji,jj,jl) = pv_s(ji,jj,jl) - zvs_excess |
---|
| 1735 | ENDIF |
---|
[12197] | 1736 | ! |
---|
[10911] | 1737 | ENDIF |
---|
| 1738 | END DO |
---|
| 1739 | END DO |
---|
[12197] | 1740 | END DO |
---|
| 1741 | ! |
---|
| 1742 | !-- correct pond concentration to avoid a_ip > a_i -- ! |
---|
[10911] | 1743 | WHERE( pa_ip(:,:,:) > pa_i(:,:,:) ) pa_ip(:,:,:) = pa_i(:,:,:) |
---|
| 1744 | ! |
---|
[12197] | 1745 | END SUBROUTINE Hsnow |
---|
| 1746 | |
---|
[13617] | 1747 | SUBROUTINE icemax3D( pice , pmax ) |
---|
| 1748 | !!--------------------------------------------------------------------- |
---|
| 1749 | !! *** ROUTINE icemax3D *** |
---|
| 1750 | !! ** Purpose : compute the max of the 9 points around |
---|
| 1751 | !!---------------------------------------------------------------------- |
---|
| 1752 | REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: pice ! input |
---|
| 1753 | REAL(wp), DIMENSION(:,:,:) , INTENT(out) :: pmax ! output |
---|
| 1754 | REAL(wp), DIMENSION(2:jpim1,jpj) :: zmax ! temporary array |
---|
| 1755 | INTEGER :: ji, jj, jl ! dummy loop indices |
---|
| 1756 | !!---------------------------------------------------------------------- |
---|
| 1757 | DO jl = 1, jpl |
---|
| 1758 | DO jj = 1, jpj |
---|
| 1759 | DO ji = 2, jpim1 |
---|
| 1760 | zmax(ji,jj) = MAX( epsi20, pice(ji,jj,jl), pice(ji-1,jj,jl), pice(ji+1,jj,jl) ) |
---|
| 1761 | END DO |
---|
| 1762 | END DO |
---|
| 1763 | DO jj = 2, jpjm1 |
---|
| 1764 | DO ji = 2, jpim1 |
---|
| 1765 | pmax(ji,jj,jl) = MAX( epsi20, zmax(ji,jj), zmax(ji,jj-1), zmax(ji,jj+1) ) |
---|
| 1766 | END DO |
---|
| 1767 | END DO |
---|
| 1768 | END DO |
---|
| 1769 | END SUBROUTINE icemax3D |
---|
[12197] | 1770 | |
---|
[13617] | 1771 | SUBROUTINE icemax4D( pice , pmax ) |
---|
| 1772 | !!--------------------------------------------------------------------- |
---|
| 1773 | !! *** ROUTINE icemax4D *** |
---|
| 1774 | !! ** Purpose : compute the max of the 9 points around |
---|
| 1775 | !!---------------------------------------------------------------------- |
---|
| 1776 | REAL(wp), DIMENSION(:,:,:,:) , INTENT(in ) :: pice ! input |
---|
| 1777 | REAL(wp), DIMENSION(:,:,:,:) , INTENT(out) :: pmax ! output |
---|
| 1778 | REAL(wp), DIMENSION(2:jpim1,jpj) :: zmax ! temporary array |
---|
| 1779 | INTEGER :: jlay, ji, jj, jk, jl ! dummy loop indices |
---|
| 1780 | !!---------------------------------------------------------------------- |
---|
| 1781 | jlay = SIZE( pice , 3 ) ! size of input arrays |
---|
| 1782 | DO jl = 1, jpl |
---|
| 1783 | DO jk = 1, jlay |
---|
| 1784 | DO jj = 1, jpj |
---|
| 1785 | DO ji = 2, jpim1 |
---|
| 1786 | zmax(ji,jj) = MAX( epsi20, pice(ji,jj,jk,jl), pice(ji-1,jj,jk,jl), pice(ji+1,jj,jk,jl) ) |
---|
| 1787 | END DO |
---|
| 1788 | END DO |
---|
| 1789 | DO jj = 2, jpjm1 |
---|
| 1790 | DO ji = 2, jpim1 |
---|
| 1791 | pmax(ji,jj,jk,jl) = MAX( epsi20, zmax(ji,jj), zmax(ji,jj-1), zmax(ji,jj+1) ) |
---|
| 1792 | END DO |
---|
| 1793 | END DO |
---|
| 1794 | END DO |
---|
| 1795 | END DO |
---|
| 1796 | END SUBROUTINE icemax4D |
---|
| 1797 | |
---|
[8586] | 1798 | #else |
---|
| 1799 | !!---------------------------------------------------------------------- |
---|
[9570] | 1800 | !! Default option Dummy module NO SI3 sea-ice model |
---|
[8586] | 1801 | !!---------------------------------------------------------------------- |
---|
| 1802 | #endif |
---|
| 1803 | |
---|
| 1804 | !!====================================================================== |
---|
| 1805 | END MODULE icedyn_adv_umx |
---|