[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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| 13 | !! ice_dyn_adv_umx : update the tracer trend with the 3D advection trends using a TVD scheme |
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| 14 | !! ultimate_x(_y) : compute a tracer value at velocity points using ULTIMATE scheme at various orders |
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| 15 | !! macho : ??? |
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[10267] | 16 | !! nonosc : compute monotonic tracer fluxes by 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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[10267] | 22 | USE icevar ! sea-ice: operations |
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[8586] | 23 | ! |
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| 24 | USE in_out_manager ! I/O manager |
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| 25 | USE lib_mpp ! MPP library |
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| 26 | USE lib_fortran ! fortran utilities (glob_sum + no signed zero) |
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| 27 | USE lbclnk ! lateral boundary conditions (or mpp links) |
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| 28 | |
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| 29 | IMPLICIT NONE |
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| 30 | PRIVATE |
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| 31 | |
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| 32 | PUBLIC ice_dyn_adv_umx ! called by icedyn_adv.F90 |
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| 33 | |
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| 34 | REAL(wp) :: z1_6 = 1._wp / 6._wp ! =1/6 |
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| 35 | REAL(wp) :: z1_120 = 1._wp / 120._wp ! =1/120 |
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| 36 | |
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[10315] | 37 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: z1_a, z1_a_ups, zua_ups, zva_ups |
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| 38 | |
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| 39 | ! alternate directions for upstream |
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| 40 | ! clem: it gives results for Lipscomb test that are the same as "ll_upsxy=false" |
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| 41 | ! clem: needs to be set to true in 2D when using prelimiter (otherwise "wavy solutions" are created) |
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| 42 | LOGICAL :: ll_upsxy = .TRUE. |
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| 43 | |
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| 44 | ! prelimiter |
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| 45 | ! clem: use it to avoid overshoot in H |
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| 46 | LOGICAL :: ll_prelimiter = .TRUE. |
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| 47 | LOGICAL :: ll_prelimiter_zalesak = .TRUE. ! from: Zalesak(1979) eq. 14 => better than Devore especially in 2D |
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| 48 | LOGICAL :: ll_prelimiter_devore = .FALSE. ! from: Devore eq. 11 |
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| 49 | |
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| 50 | ! iterate on the limiter (only nonosc) |
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| 51 | ! clem: useless |
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| 52 | LOGICAL :: ll_limiter_it2 = .FALSE. |
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| 53 | |
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| 54 | |
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[8586] | 55 | !! * Substitutions |
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| 56 | # include "vectopt_loop_substitute.h90" |
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| 57 | !!---------------------------------------------------------------------- |
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[9598] | 58 | !! NEMO/ICE 4.0 , NEMO Consortium (2018) |
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[8586] | 59 | !! $Id: icedyn_adv_umx.F90 4499 2014-02-18 15:14:31Z timgraham $ |
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[9598] | 60 | !! Software governed by the CeCILL licence (./LICENSE) |
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[8586] | 61 | !!---------------------------------------------------------------------- |
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| 62 | CONTAINS |
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| 63 | |
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[10267] | 64 | SUBROUTINE ice_dyn_adv_umx( kn_umx, kt, pu_ice, pv_ice, & |
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| 65 | & pato_i, pv_i, pv_s, psv_i, poa_i, pa_i, pa_ip, pv_ip, pe_s, pe_i ) |
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[8586] | 66 | !!---------------------------------------------------------------------- |
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| 67 | !! *** ROUTINE ice_dyn_adv_umx *** |
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| 68 | !! |
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| 69 | !! ** Purpose : Compute the now trend due to total advection of |
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| 70 | !! tracers and add it to the general trend of tracer equations |
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| 71 | !! using an "Ultimate-Macho" scheme |
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| 72 | !! |
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| 73 | !! Reference : Leonard, B.P., 1991, Comput. Methods Appl. Mech. Eng., 88, 17-74. |
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| 74 | !!---------------------------------------------------------------------- |
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[10267] | 75 | INTEGER , INTENT(in ) :: kn_umx ! order of the scheme (1-5=UM or 20=CEN2) |
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[8586] | 76 | INTEGER , INTENT(in ) :: kt ! time step |
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| 77 | REAL(wp), DIMENSION(:,:) , INTENT(in ) :: pu_ice ! ice i-velocity |
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| 78 | REAL(wp), DIMENSION(:,:) , INTENT(in ) :: pv_ice ! ice j-velocity |
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| 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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| 85 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pa_ip ! melt pond fraction |
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| 86 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_ip ! melt pond volume |
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| 87 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_s ! snw heat content |
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| 88 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_i ! ice heat content |
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| 89 | ! |
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| 90 | INTEGER :: ji, jj, jk, jl, jt ! dummy loop indices |
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[10267] | 91 | INTEGER :: icycle ! number of sub-timestep for the advection |
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| 92 | REAL(wp) :: zamsk ! 1 if advection of concentration, 0 if advection of other tracers |
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| 93 | REAL(wp) :: zcfl , zdt |
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[10315] | 94 | REAL(wp) :: zeps = 0.0_wp ! shift in concentration to avoid division by 0 |
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[10267] | 95 | ! ! must be >= 0.01 and the best seems to be 0.1 |
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[10315] | 96 | REAL(wp), DIMENSION(jpi,jpj) :: zudy, zvdx, zcu_box, zcv_box, zua_ho, zva_ho, za_ups |
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| 97 | REAL(wp), DIMENSION(jpi,jpj) :: zh_i, zh_s, zs_i, zo_i, ze_i, ze_s, zh_ip |
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[8586] | 98 | !!---------------------------------------------------------------------- |
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| 99 | ! |
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| 100 | IF( kt == nit000 .AND. lwp ) WRITE(numout,*) '-- ice_dyn_adv_umx: Ultimate-Macho advection scheme' |
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| 101 | ! |
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| 102 | ! --- If ice drift field is too fast, use an appropriate time step for advection (CFL test for stability) --- ! |
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| 103 | zcfl = MAXVAL( ABS( pu_ice(:,:) ) * rdt_ice * r1_e1u(:,:) ) |
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| 104 | zcfl = MAX( zcfl, MAXVAL( ABS( pv_ice(:,:) ) * rdt_ice * r1_e2v(:,:) ) ) |
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| 105 | IF( lk_mpp ) CALL mpp_max( zcfl ) |
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| 106 | |
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[10267] | 107 | IF( zcfl > 0.5 ) THEN ; icycle = 2 |
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| 108 | ELSE ; icycle = 1 |
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[8586] | 109 | ENDIF |
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| 110 | |
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[10267] | 111 | zdt = rdt_ice / REAL(icycle) |
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[8586] | 112 | |
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| 113 | ! --- transport --- ! |
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| 114 | zudy(:,:) = pu_ice(:,:) * e2u(:,:) |
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| 115 | zvdx(:,:) = pv_ice(:,:) * e1v(:,:) |
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| 116 | |
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| 117 | ! --- define velocity for advection: u*grad(H) --- ! |
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| 118 | DO jj = 2, jpjm1 |
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| 119 | DO ji = fs_2, fs_jpim1 |
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| 120 | IF ( pu_ice(ji,jj) * pu_ice(ji-1,jj) <= 0._wp ) THEN ; zcu_box(ji,jj) = 0._wp |
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| 121 | ELSEIF( pu_ice(ji,jj) > 0._wp ) THEN ; zcu_box(ji,jj) = pu_ice(ji-1,jj) |
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| 122 | ELSE ; zcu_box(ji,jj) = pu_ice(ji ,jj) |
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| 123 | ENDIF |
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| 124 | |
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| 125 | IF ( pv_ice(ji,jj) * pv_ice(ji,jj-1) <= 0._wp ) THEN ; zcv_box(ji,jj) = 0._wp |
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| 126 | ELSEIF( pv_ice(ji,jj) > 0._wp ) THEN ; zcv_box(ji,jj) = pv_ice(ji,jj-1) |
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| 127 | ELSE ; zcv_box(ji,jj) = pv_ice(ji,jj ) |
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| 128 | ENDIF |
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| 129 | END DO |
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| 130 | END DO |
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| 131 | |
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[10315] | 132 | IF(.NOT. ALLOCATED(z1_a) ) ALLOCATE(z1_a (jpi,jpj)) |
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| 133 | IF(.NOT. ALLOCATED(z1_a_ups)) ALLOCATE(z1_a_ups(jpi,jpj)) |
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| 134 | IF(.NOT. ALLOCATED(zua_ups) ) ALLOCATE(zua_ups (jpi,jpj)) |
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| 135 | IF(.NOT. ALLOCATED(zva_ups) ) ALLOCATE(zva_ups (jpi,jpj)) |
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[8586] | 136 | !---------------! |
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| 137 | !== advection ==! |
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| 138 | !---------------! |
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[10267] | 139 | DO jt = 1, icycle |
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| 140 | |
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[10315] | 141 | zamsk = 1._wp ; zua_ups(:,:) = zudy(:,:) ; zva_ups(:,:) = zvdx(:,:) |
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| 142 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy, zvdx, zudy, zvdx, zcu_box, zcv_box, pato_i(:,:), pato_i(:,:), zua_ups, zva_ups, za_ups, zua_ho, zva_ho ) ! Open water area |
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[10267] | 143 | |
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[8586] | 144 | DO jl = 1, jpl |
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[10267] | 145 | ! to avoid a problem with the limiter nonosc when A gets close to 0 |
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| 146 | pa_i(:,:,jl) = pa_i(:,:,jl) + zeps * tmask(:,:,1) |
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| 147 | ! |
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| 148 | WHERE( pa_i(:,:,jl) > epsi20 ) ; z1_a(:,:) = 1._wp / pa_i(:,:,jl) |
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[10315] | 149 | ELSEWHERE ; z1_a(:,:) = 0. |
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[10267] | 150 | END WHERE |
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| 151 | ! |
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[10315] | 152 | zamsk = 1._wp ; zua_ups(:,:) = zudy(:,:) ; zva_ups(:,:) = zvdx(:,:) |
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| 153 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy, zvdx, zudy, zvdx, zcu_box, zcv_box, pa_i(:,:,jl), pa_i(:,:,jl), zua_ups, zva_ups, za_ups, zua_ho, zva_ho ) ! Ice area |
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| 154 | |
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| 155 | ! 1/A_ups |
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| 156 | WHERE( za_ups(:,:) > epsi20 ) ; z1_a_ups(:,:) = 1._wp / za_ups(:,:) |
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| 157 | ELSEWHERE ; z1_a_ups(:,:) = 0. |
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| 158 | END WHERE |
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| 159 | |
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| 160 | !!zua_ho = zudy ; zva_ho = zvdx |
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| 161 | !!CALL adv_umx( kn_umx, kt, zdt, zudy, zvdx, zua_ho , zva_ho , zcu_box, zcv_box, pv_i(:,:,jl), pv_i(:,:,jl) ) |
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[10267] | 162 | zamsk = 0._wp ; zh_i(:,:) = pv_i (:,:,jl) * z1_a(:,:) |
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[10315] | 163 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy, zvdx, zua_ho , zva_ho , zcu_box, zcv_box, zh_i(:,:), pv_i (:,:,jl), zua_ups, zva_ups ) ! Ice volume |
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[10267] | 164 | zamsk = 0._wp ; zh_s(:,:) = pv_s (:,:,jl) * z1_a(:,:) |
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[10315] | 165 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy, zvdx, zua_ho , zva_ho , zcu_box, zcv_box, zh_s(:,:), pv_s (:,:,jl), zua_ups, zva_ups ) ! Snw volume |
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[10267] | 166 | zamsk = 0._wp ; zs_i(:,:) = psv_i(:,:,jl) * z1_a(:,:) |
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[10315] | 167 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy, zvdx, zua_ho , zva_ho , zcu_box, zcv_box, zs_i(:,:), psv_i(:,:,jl), zua_ups, zva_ups ) ! Salt content |
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[10267] | 168 | zamsk = 0._wp ; zo_i(:,:) = poa_i(:,:,jl) * z1_a(:,:) |
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[10315] | 169 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy, zvdx, zua_ho , zva_ho , zcu_box, zcv_box, zo_i(:,:), poa_i(:,:,jl), zua_ups, zva_ups ) ! Age content |
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[8586] | 170 | DO jk = 1, nlay_i |
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[10267] | 171 | zamsk = 0._wp ; ze_i(:,:) = pe_i(:,:,jk,jl) * z1_a(:,:) |
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[10315] | 172 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy, zvdx, zua_ho, zva_ho, zcu_box, zcv_box, ze_i(:,:), pe_i(:,:,jk,jl), zua_ups, zva_ups ) ! Ice heat content |
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[8586] | 173 | END DO |
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[9271] | 174 | DO jk = 1, nlay_s |
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[10267] | 175 | zamsk = 0._wp ; ze_s(:,:) = pe_s(:,:,jk,jl) * z1_a(:,:) |
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[10315] | 176 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy, zvdx, zua_ho, zva_ho, zcu_box, zcv_box, ze_s(:,:), pe_s(:,:,jk,jl), zua_ups, zva_ups ) ! Snw heat content |
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[9271] | 177 | END DO |
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[10267] | 178 | ! |
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[10315] | 179 | IF ( ln_pnd_H12 ) THEN ! melt ponds (must be the last ones to be advected because of z1_a...) |
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[10267] | 180 | ! to avoid a problem with the limiter nonosc when A gets close to 0 |
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| 181 | pa_ip(:,:,jl) = pa_ip(:,:,jl) + zeps * tmask(:,:,1) |
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| 182 | ! |
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[10315] | 183 | WHERE( pa_ip(:,:,jl) > epsi20 ) ; z1_a(:,:) = 1._wp / pa_ip(:,:,jl) |
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| 184 | ELSEWHERE ; z1_a(:,:) = 0. |
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[10267] | 185 | END WHERE |
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| 186 | ! |
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[10315] | 187 | zamsk = 1._wp ; zua_ups(:,:) = zudy(:,:) ; zva_ups(:,:) = zvdx(:,:) |
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| 188 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy, zvdx, zudy, zvdx, zcu_box, zcv_box, pa_ip(:,:,jl), pa_ip(:,:,jl), zua_ups, zva_ups, za_ups, zua_ho, zva_ho ) ! mp fraction |
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| 189 | |
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| 190 | ! 1/A_ups |
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| 191 | WHERE( za_ups(:,:) > epsi20 ) ; z1_a_ups(:,:) = 1._wp / za_ups(:,:) |
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| 192 | ELSEWHERE ; z1_a_ups(:,:) = 0. |
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| 193 | END WHERE |
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| 194 | |
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[10267] | 195 | zamsk = 0._wp ; zh_ip(:,:) = pv_ip(:,:,jl) * z1_a(:,:) |
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[10315] | 196 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy, zvdx, zua_ho , zva_ho , zcu_box, zcv_box, zh_ip(:,:), pv_ip(:,:,jl), zua_ups, zva_ups ) ! mp volume |
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[8586] | 197 | ENDIF |
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[10267] | 198 | ! |
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| 199 | ! to avoid a problem with the limiter nonosc when A gets close to 0 |
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| 200 | DO jj = 2, jpjm1 |
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| 201 | DO ji = fs_2, fs_jpim1 |
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| 202 | !pa_i(ji,jj,jl) = ( pa_i(ji,jj,jl) - zeps ) * tmask(ji,jj,1) |
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| 203 | pa_i(ji,jj,jl) = ( pa_i(ji,jj,jl) - zeps & |
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| 204 | & + zeps * ( zudy(ji,jj) - zudy(ji-1,jj) + zvdx(ji,jj) - zvdx(ji,jj-1) )*r1_e1e2t(ji,jj)*zdt & |
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| 205 | & ) * tmask(ji,jj,1) |
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| 206 | IF ( ln_pnd_H12 ) THEN ! melt ponds |
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| 207 | pa_ip(ji,jj,jl) = ( pa_ip(ji,jj,jl) - zeps & |
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| 208 | & + zeps * ( zudy(ji,jj) - zudy(ji-1,jj) + zvdx(ji,jj) - zvdx(ji,jj-1) )*r1_e1e2t(ji,jj)*zdt & |
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| 209 | & ) * tmask(ji,jj,1) |
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| 210 | ENDIF |
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| 211 | END DO |
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| 212 | END DO |
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[10315] | 213 | CALL lbc_lnk_multi( pa_i(:,:,jl), 'T', 1., pa_ip(:,:,jl), 'T', 1. ) |
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[10267] | 214 | ! |
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[8586] | 215 | END DO |
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[10267] | 216 | |
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[8586] | 217 | END DO |
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| 218 | ! |
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| 219 | END SUBROUTINE ice_dyn_adv_umx |
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[9929] | 220 | |
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[8586] | 221 | |
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[10315] | 222 | SUBROUTINE adv_umx( pamsk, kn_umx, jt, kt, pdt, pu, pv, puc, pvc, pubox, pvbox, pt, ptc, pua_ups, pva_ups, pa_ups, pua_ho, pva_ho ) |
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[8586] | 223 | !!---------------------------------------------------------------------- |
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| 224 | !! *** ROUTINE adv_umx *** |
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| 225 | !! |
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| 226 | !! ** Purpose : Compute the now trend due to total advection of |
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| 227 | !! tracers and add it to the general trend of tracer equations |
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| 228 | !! |
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| 229 | !! ** Method : TVD scheme, i.e. 2nd order centered scheme with |
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| 230 | !! corrected flux (monotonic correction) |
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| 231 | !! note: - this advection scheme needs a leap-frog time scheme |
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| 232 | !! |
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| 233 | !! ** Action : - pt the after advective tracer |
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| 234 | !!---------------------------------------------------------------------- |
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[10267] | 235 | REAL(wp) , INTENT(in ) :: pamsk ! advection of concentration (1) or other tracers (0) |
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| 236 | INTEGER , INTENT(in ) :: kn_umx ! order of the scheme (1-5=UM or 20=CEN2) |
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| 237 | INTEGER , INTENT(in ) :: jt ! number of sub-iteration |
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| 238 | INTEGER , INTENT(in ) :: kt ! number of iteration |
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| 239 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
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| 240 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pu , pv ! 2 ice velocity components => u*e2 |
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| 241 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: puc , pvc ! 2 ice velocity components => u*e2 or u*a*e2u |
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| 242 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pubox, pvbox ! upstream velocity |
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| 243 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pt ! tracer field |
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| 244 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: ptc ! tracer content field |
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[10315] | 245 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: pua_ups, pva_ups ! upstream u*a fluxes or u |
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| 246 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out), OPTIONAL :: pa_ups ! concentration advected upstream |
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| 247 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out), OPTIONAL :: pua_ho, pva_ho ! high order u*a fluxes |
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[8586] | 248 | ! |
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| 249 | INTEGER :: ji, jj ! dummy loop indices |
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| 250 | REAL(wp) :: ztra ! local scalar |
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[10267] | 251 | INTEGER :: kn_limiter = 1 ! 1=nonosc ; 2=superbee ; 3=h3(rachid) |
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| 252 | REAL(wp), DIMENSION(jpi,jpj) :: zfu_ho , zfv_ho , zt_u, zt_v, zpt |
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| 253 | REAL(wp), DIMENSION(jpi,jpj) :: zfu_ups, zfv_ups, zt_ups ! only for nonosc |
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[8586] | 254 | !!---------------------------------------------------------------------- |
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| 255 | ! |
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[10267] | 256 | ! upstream (_ups) advection with initial mass fluxes |
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| 257 | ! --------------------------------------------------- |
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[10315] | 258 | IF( .NOT. ll_upsxy ) THEN |
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| 259 | |
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| 260 | ! fluxes |
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| 261 | DO jj = 1, jpjm1 |
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| 262 | DO ji = 1, fs_jpim1 |
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| 263 | zfu_ups(ji,jj) = MAX( pua_ups(ji,jj), 0._wp ) * pt(ji,jj) + MIN( pua_ups(ji,jj), 0._wp ) * pt(ji+1,jj) |
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| 264 | zfv_ups(ji,jj) = MAX( pva_ups(ji,jj), 0._wp ) * pt(ji,jj) + MIN( pva_ups(ji,jj), 0._wp ) * pt(ji,jj+1) |
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| 265 | END DO |
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[8586] | 266 | END DO |
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[10315] | 267 | |
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| 268 | ELSE |
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| 269 | ! 1 if advection of A |
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| 270 | ! z1_a_ups already defined IF advection of other tracers |
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| 271 | IF( pamsk == 1. ) z1_a_ups(:,:) = 1._wp |
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| 272 | ! |
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| 273 | IF( MOD( (kt - 1) / nn_fsbc , 2 ) == MOD( (jt - 1) , 2 ) ) THEN !== odd ice time step: adv_x then adv_y ==! |
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| 274 | ! flux in x-direction |
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| 275 | DO jj = 1, jpjm1 |
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| 276 | DO ji = 1, fs_jpim1 |
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| 277 | zfu_ups(ji,jj) = MAX( pua_ups(ji,jj), 0._wp ) * pt(ji,jj) + MIN( pua_ups(ji,jj), 0._wp ) * pt(ji+1,jj) |
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| 278 | END DO |
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| 279 | END DO |
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| 280 | ! first guess of tracer content from u-flux |
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| 281 | DO jj = 2, jpjm1 |
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| 282 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 283 | zpt(ji,jj) = ( ptc(ji,jj) - ( zfu_ups(ji,jj) - zfu_ups(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) ) & |
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| 284 | & * tmask(ji,jj,1) * z1_a_ups(ji,jj) |
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| 285 | END DO |
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| 286 | END DO |
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| 287 | CALL lbc_lnk( zpt, 'T', 1. ) |
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| 288 | ! |
---|
| 289 | ! flux in y-direction |
---|
| 290 | DO jj = 1, jpjm1 |
---|
| 291 | DO ji = 1, fs_jpim1 |
---|
| 292 | zfv_ups(ji,jj) = MAX( pva_ups(ji,jj), 0._wp ) * zpt(ji,jj) + MIN( pva_ups(ji,jj), 0._wp ) * zpt(ji,jj+1) |
---|
| 293 | END DO |
---|
| 294 | END DO |
---|
| 295 | ! |
---|
| 296 | ELSE !== even ice time step: adv_y then adv_x ==! |
---|
| 297 | ! flux in y-direction |
---|
| 298 | DO jj = 1, jpjm1 |
---|
| 299 | DO ji = 1, fs_jpim1 |
---|
| 300 | zfv_ups(ji,jj) = MAX( pva_ups(ji,jj), 0._wp ) * pt(ji,jj) + MIN( pva_ups(ji,jj), 0._wp ) * pt(ji,jj+1) |
---|
| 301 | END DO |
---|
| 302 | END DO |
---|
| 303 | ! first guess of tracer content from v-flux |
---|
| 304 | DO jj = 2, jpjm1 |
---|
| 305 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 306 | zpt(ji,jj) = ( ptc(ji,jj) - ( zfv_ups(ji,jj) - zfv_ups(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) ) & |
---|
| 307 | & * tmask(ji,jj,1) * z1_a_ups(ji,jj) |
---|
| 308 | END DO |
---|
| 309 | END DO |
---|
| 310 | CALL lbc_lnk( zpt, 'T', 1. ) |
---|
| 311 | ! |
---|
| 312 | ! flux in x-direction |
---|
| 313 | DO jj = 1, jpjm1 |
---|
| 314 | DO ji = 1, fs_jpim1 |
---|
| 315 | zfu_ups(ji,jj) = MAX( pua_ups(ji,jj), 0._wp ) * zpt(ji,jj) + MIN( pua_ups(ji,jj), 0._wp ) * zpt(ji+1,jj) |
---|
| 316 | END DO |
---|
| 317 | END DO |
---|
| 318 | ! |
---|
| 319 | ENDIF |
---|
| 320 | |
---|
| 321 | ENDIF |
---|
[10267] | 322 | ! guess after content field with upstream scheme |
---|
| 323 | DO jj = 2, jpjm1 |
---|
| 324 | DO ji = fs_2, fs_jpim1 |
---|
| 325 | ztra = - ( zfu_ups(ji,jj) - zfu_ups(ji-1,jj ) & |
---|
| 326 | & + zfv_ups(ji,jj) - zfv_ups(ji ,jj-1) ) * r1_e1e2t(ji,jj) |
---|
| 327 | zt_ups(ji,jj) = ( ptc(ji,jj) + pdt * ztra ) * tmask(ji,jj,1) |
---|
| 328 | END DO |
---|
| 329 | END DO |
---|
| 330 | CALL lbc_lnk( zt_ups, 'T', 1. ) |
---|
[10315] | 331 | |
---|
[8586] | 332 | ! High order (_ho) fluxes |
---|
| 333 | ! ----------------------- |
---|
[10267] | 334 | SELECT CASE( kn_umx ) |
---|
[8586] | 335 | ! |
---|
[10267] | 336 | CASE ( 20 ) !== centered second order ==! |
---|
[8586] | 337 | ! |
---|
[10315] | 338 | CALL cen2( kn_limiter, jt, kt, pdt, pt, pu, pv, puc, pvc, ptc, zfu_ho, zfv_ho, & |
---|
[10267] | 339 | & zt_ups, zfu_ups, zfv_ups ) |
---|
[8586] | 340 | ! |
---|
[10267] | 341 | CASE ( 1:5 ) !== 1st to 5th order ULTIMATE-MACHO scheme ==! |
---|
| 342 | ! |
---|
[10315] | 343 | CALL macho( pamsk, kn_limiter, kn_umx, jt, kt, pdt, pt, pu, pv, puc, pvc, pubox, pvbox, ptc, zt_u, zt_v, zfu_ho, zfv_ho, & |
---|
[10267] | 344 | & zt_ups, zfu_ups, zfv_ups ) |
---|
| 345 | ! |
---|
[8586] | 346 | END SELECT |
---|
| 347 | |
---|
[10315] | 348 | ! output upstream trend of concentration and high order fluxes |
---|
| 349 | ! ------------------------------------------------------------ |
---|
| 350 | IF( pamsk == 1. ) THEN |
---|
| 351 | ! upstream trend of concentration |
---|
| 352 | pa_ups(:,:) = zt_ups(:,:) |
---|
| 353 | ! upstream and high order u*a |
---|
[10267] | 354 | DO jj = 1, jpjm1 |
---|
| 355 | DO ji = 1, fs_jpim1 |
---|
[10315] | 356 | pua_ups(ji,jj) = zfu_ups(ji,jj) |
---|
| 357 | pva_ups(ji,jj) = zfv_ups(ji,jj) |
---|
| 358 | pua_ho (ji,jj) = zfu_ho (ji,jj) |
---|
| 359 | pva_ho (ji,jj) = zfv_ho (ji,jj) |
---|
[10267] | 360 | END DO |
---|
[8586] | 361 | END DO |
---|
[10315] | 362 | !!CALL lbc_lnk( pua_ho, 'U', -1. ) ! clem: not needed I think |
---|
| 363 | !!CALL lbc_lnk( pva_ho, 'V', -1. ) |
---|
[10267] | 364 | ENDIF |
---|
[8586] | 365 | |
---|
| 366 | ! final trend with corrected fluxes |
---|
| 367 | ! ------------------------------------ |
---|
| 368 | DO jj = 2, jpjm1 |
---|
[10267] | 369 | DO ji = fs_2, fs_jpim1 |
---|
[10315] | 370 | ztra = ( - ( zfu_ho(ji,jj) - zfu_ho(ji-1,jj) + zfv_ho(ji,jj) - zfv_ho(ji,jj-1) ) & ! Div(uaH) or Div(ua) |
---|
[10267] | 371 | & ) * r1_e1e2t(ji,jj) |
---|
[9866] | 372 | ptc(ji,jj) = ( ptc(ji,jj) + pdt * ztra ) * tmask(ji,jj,1) |
---|
[8586] | 373 | END DO |
---|
| 374 | END DO |
---|
[9421] | 375 | CALL lbc_lnk( ptc, 'T', 1. ) |
---|
[8586] | 376 | ! |
---|
| 377 | END SUBROUTINE adv_umx |
---|
| 378 | |
---|
[10267] | 379 | SUBROUTINE cen2( kn_limiter, jt, kt, pdt, pt, pu, pv, puc, pvc, ptc, pfu_ho, pfv_ho, & |
---|
| 380 | & pt_ups, pfu_ups, pfv_ups ) |
---|
| 381 | !!--------------------------------------------------------------------- |
---|
| 382 | !! *** ROUTINE macho *** |
---|
| 383 | !! |
---|
| 384 | !! ** Purpose : compute |
---|
| 385 | !! |
---|
| 386 | !! ** Method : ... ??? |
---|
| 387 | !! TIM = transient interpolation Modeling |
---|
| 388 | !! |
---|
| 389 | !! Reference : Leonard, B.P., 1991, Comput. Methods Appl. Mech. Eng., 88, 17-74. |
---|
| 390 | !!---------------------------------------------------------------------- |
---|
| 391 | INTEGER , INTENT(in ) :: kn_limiter ! limiter |
---|
| 392 | INTEGER , INTENT(in ) :: jt ! number of sub-iteration |
---|
| 393 | INTEGER , INTENT(in ) :: kt ! number of iteration |
---|
| 394 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
| 395 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pt ! tracer fields |
---|
| 396 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pu, pv ! 2 ice velocity components |
---|
| 397 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: puc, pvc ! 2 ice velocity * A components |
---|
| 398 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: ptc ! tracer content at before time step |
---|
| 399 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pfu_ho, pfv_ho ! high order fluxes |
---|
| 400 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pt_ups ! upstream guess of tracer content |
---|
| 401 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pfu_ups, pfv_ups ! upstream fluxes |
---|
| 402 | ! |
---|
| 403 | INTEGER :: ji, jj ! dummy loop indices |
---|
| 404 | LOGICAL :: ll_xy = .TRUE. |
---|
| 405 | REAL(wp), DIMENSION(jpi,jpj) :: zzt |
---|
| 406 | !!---------------------------------------------------------------------- |
---|
| 407 | ! |
---|
| 408 | IF( .NOT.ll_xy ) THEN !-- no alternate directions --! |
---|
| 409 | ! |
---|
| 410 | DO jj = 1, jpjm1 |
---|
| 411 | DO ji = 1, fs_jpim1 |
---|
| 412 | pfu_ho(ji,jj) = 0.5 * puc(ji,jj) * ( pt(ji,jj) + pt(ji+1,jj) ) |
---|
| 413 | pfv_ho(ji,jj) = 0.5 * pvc(ji,jj) * ( pt(ji,jj) + pt(ji,jj+1) ) |
---|
| 414 | END DO |
---|
| 415 | END DO |
---|
| 416 | IF ( kn_limiter == 1 ) THEN |
---|
| 417 | CALL nonosc_2d( pdt, ptc, pt_ups, pfu_ups, pfv_ups, pfu_ho, pfv_ho ) |
---|
| 418 | ELSEIF( kn_limiter == 2 ) THEN |
---|
| 419 | CALL limiter_x( pdt, pu, puc, pt, pfu_ho ) |
---|
| 420 | CALL limiter_y( pdt, pv, pvc, pt, pfv_ho ) |
---|
| 421 | ELSEIF( kn_limiter == 3 ) THEN |
---|
| 422 | CALL limiter_x( pdt, pu, puc, pt, pfu_ho, pfu_ups ) |
---|
| 423 | CALL limiter_y( pdt, pv, pvc, pt, pfv_ho, pfv_ups ) |
---|
| 424 | ENDIF |
---|
| 425 | ! |
---|
| 426 | ELSE !-- alternate directions --! |
---|
| 427 | ! |
---|
| 428 | IF( MOD( (kt - 1) / nn_fsbc , 2 ) == MOD( (jt - 1) , 2 ) ) THEN !== odd ice time step: adv_x then adv_y ==! |
---|
| 429 | ! |
---|
| 430 | ! flux in x-direction |
---|
| 431 | DO jj = 1, jpjm1 |
---|
| 432 | DO ji = 1, fs_jpim1 |
---|
| 433 | pfu_ho(ji,jj) = 0.5 * puc(ji,jj) * ( pt(ji,jj) + pt(ji+1,jj) ) |
---|
| 434 | END DO |
---|
| 435 | END DO |
---|
| 436 | IF( kn_limiter == 2 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho ) |
---|
| 437 | IF( kn_limiter == 3 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho, pfu_ups ) |
---|
[8586] | 438 | |
---|
[10267] | 439 | ! first guess of tracer content from u-flux |
---|
| 440 | DO jj = 2, jpjm1 |
---|
| 441 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 442 | zzt(ji,jj) = ( ptc(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
| 443 | END DO |
---|
| 444 | END DO |
---|
| 445 | CALL lbc_lnk( zzt, 'T', 1. ) |
---|
| 446 | |
---|
| 447 | ! flux in y-direction |
---|
| 448 | DO jj = 1, jpjm1 |
---|
| 449 | DO ji = 1, fs_jpim1 |
---|
| 450 | pfv_ho(ji,jj) = 0.5 * pv(ji,jj) * ( zzt(ji,jj) + zzt(ji,jj+1) ) |
---|
| 451 | END DO |
---|
| 452 | END DO |
---|
| 453 | IF( kn_limiter == 2 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho ) |
---|
| 454 | IF( kn_limiter == 3 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho, pfv_ups ) |
---|
| 455 | |
---|
| 456 | ELSE !== even ice time step: adv_y then adv_x ==! |
---|
| 457 | ! |
---|
| 458 | ! flux in y-direction |
---|
| 459 | DO jj = 1, jpjm1 |
---|
| 460 | DO ji = 1, fs_jpim1 |
---|
| 461 | pfv_ho(ji,jj) = 0.5 * pvc(ji,jj) * ( pt(ji,jj) + pt(ji,jj+1) ) |
---|
| 462 | END DO |
---|
| 463 | END DO |
---|
| 464 | IF( kn_limiter == 2 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho ) |
---|
| 465 | IF( kn_limiter == 3 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho, pfv_ups ) |
---|
| 466 | ! |
---|
| 467 | ! first guess of tracer content from v-flux |
---|
| 468 | DO jj = 2, jpjm1 |
---|
| 469 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 470 | zzt(ji,jj) = ( ptc(ji,jj) - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
| 471 | END DO |
---|
| 472 | END DO |
---|
| 473 | CALL lbc_lnk( zzt, 'T', 1. ) |
---|
| 474 | ! |
---|
| 475 | ! flux in x-direction |
---|
| 476 | DO jj = 1, jpjm1 |
---|
| 477 | DO ji = 1, fs_jpim1 |
---|
| 478 | pfu_ho(ji,jj) = 0.5 * pu(ji,jj) * ( zzt(ji,jj) + zzt(ji+1,jj) ) |
---|
| 479 | END DO |
---|
| 480 | END DO |
---|
| 481 | IF( kn_limiter == 2 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho ) |
---|
| 482 | IF( kn_limiter == 3 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho, pfu_ups ) |
---|
| 483 | |
---|
| 484 | ENDIF |
---|
| 485 | IF( kn_limiter == 1 ) CALL nonosc_2d( pdt, ptc, pt_ups, pfu_ups, pfv_ups, pfu_ho, pfv_ho ) |
---|
| 486 | |
---|
| 487 | ENDIF |
---|
| 488 | |
---|
| 489 | END SUBROUTINE cen2 |
---|
| 490 | |
---|
| 491 | |
---|
| 492 | SUBROUTINE macho( pamsk, kn_limiter, kn_umx, jt, kt, pdt, pt, pu, pv, puc, pvc, pubox, pvbox, ptc, pt_u, pt_v, pfu_ho, pfv_ho, & |
---|
| 493 | & pt_ups, pfu_ups, pfv_ups ) |
---|
[8586] | 494 | !!--------------------------------------------------------------------- |
---|
[10267] | 495 | !! *** ROUTINE macho *** |
---|
[8586] | 496 | !! |
---|
| 497 | !! ** Purpose : compute |
---|
| 498 | !! |
---|
| 499 | !! ** Method : ... ??? |
---|
| 500 | !! TIM = transient interpolation Modeling |
---|
| 501 | !! |
---|
| 502 | !! Reference : Leonard, B.P., 1991, Comput. Methods Appl. Mech. Eng., 88, 17-74. |
---|
| 503 | !!---------------------------------------------------------------------- |
---|
[10267] | 504 | REAL(wp) , INTENT(in ) :: pamsk ! advection of concentration (1) or other tracers (0) |
---|
| 505 | INTEGER , INTENT(in ) :: kn_limiter ! limiter |
---|
| 506 | INTEGER , INTENT(in ) :: kn_umx ! order of the scheme (1-5=UM or 20=CEN2) |
---|
| 507 | INTEGER , INTENT(in ) :: jt ! number of sub-iteration |
---|
| 508 | INTEGER , INTENT(in ) :: kt ! number of iteration |
---|
| 509 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
| 510 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pt ! tracer fields |
---|
| 511 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pu, pv ! 2 ice velocity components |
---|
| 512 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: puc, pvc ! 2 ice velocity * A components |
---|
| 513 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pubox, pvbox ! upstream velocity |
---|
| 514 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: ptc ! tracer content at before time step |
---|
| 515 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pt_u, pt_v ! tracer at u- and v-points |
---|
| 516 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pfu_ho, pfv_ho ! high order fluxes |
---|
| 517 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pt_ups ! upstream guess of tracer content |
---|
| 518 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pfu_ups, pfv_ups ! upstream fluxes |
---|
[8586] | 519 | ! |
---|
| 520 | INTEGER :: ji, jj ! dummy loop indices |
---|
[10315] | 521 | REAL(wp) :: ztra |
---|
| 522 | REAL(wp), DIMENSION(jpi,jpj) :: zzt, zzfu_ho, zzfv_ho |
---|
[8586] | 523 | !!---------------------------------------------------------------------- |
---|
| 524 | ! |
---|
[10267] | 525 | IF( MOD( (kt - 1) / nn_fsbc , 2 ) == MOD( (jt - 1) , 2 ) ) THEN !== odd ice time step: adv_x then adv_y ==! |
---|
[8586] | 526 | ! |
---|
[10267] | 527 | ! !-- ultimate interpolation of pt at u-point --! |
---|
| 528 | CALL ultimate_x( kn_umx, pdt, pt, pu, puc, pt_u, pfu_ho ) |
---|
| 529 | ! !-- limiter in x --! |
---|
| 530 | IF( kn_limiter == 2 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho ) |
---|
| 531 | IF( kn_limiter == 3 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho, pfu_ups ) |
---|
| 532 | ! !-- advective form update in zzt --! |
---|
[8586] | 533 | DO jj = 2, jpjm1 |
---|
| 534 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[10267] | 535 | zzt(ji,jj) = pt(ji,jj) - pubox(ji,jj) * pdt * ( pt_u(ji,jj) - pt_u(ji-1,jj) ) * r1_e1t(ji,jj) & |
---|
| 536 | & - pt (ji,jj) * pdt * ( pu (ji,jj) - pu (ji-1,jj) ) * r1_e1e2t(ji,jj) * pamsk |
---|
[8586] | 537 | zzt(ji,jj) = zzt(ji,jj) * tmask(ji,jj,1) |
---|
| 538 | END DO |
---|
| 539 | END DO |
---|
| 540 | CALL lbc_lnk( zzt, 'T', 1. ) |
---|
[10267] | 541 | ! !-- ultimate interpolation of pt at v-point --! |
---|
| 542 | CALL ultimate_y( kn_umx, pdt, zzt, pv, pvc, pt_v, pfv_ho ) |
---|
| 543 | ! !-- limiter in y --! |
---|
| 544 | IF( kn_limiter == 2 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho ) |
---|
| 545 | IF( kn_limiter == 3 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho, pfv_ups ) |
---|
[8586] | 546 | ! |
---|
[10267] | 547 | ELSE !== even ice time step: adv_y then adv_x ==! |
---|
[8586] | 548 | ! |
---|
[10267] | 549 | ! !-- ultimate interpolation of pt at v-point --! |
---|
| 550 | CALL ultimate_y( kn_umx, pdt, pt, pv, pvc, pt_v, pfv_ho ) |
---|
| 551 | ! !-- limiter in y --! |
---|
| 552 | IF( kn_limiter == 2 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho ) |
---|
| 553 | IF( kn_limiter == 3 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho, pfv_ups ) |
---|
| 554 | ! !-- advective form update in zzt --! |
---|
[8586] | 555 | DO jj = 2, jpjm1 |
---|
| 556 | DO ji = fs_2, fs_jpim1 |
---|
[10267] | 557 | zzt(ji,jj) = pt(ji,jj) - pvbox(ji,jj) * pdt * ( pt_v(ji,jj) - pt_v(ji,jj-1) ) * r1_e2t(ji,jj) & |
---|
| 558 | & - pt (ji,jj) * pdt * ( pv (ji,jj) - pv (ji,jj-1) ) * r1_e1e2t(ji,jj) * pamsk |
---|
[8586] | 559 | zzt(ji,jj) = zzt(ji,jj) * tmask(ji,jj,1) |
---|
| 560 | END DO |
---|
| 561 | END DO |
---|
| 562 | CALL lbc_lnk( zzt, 'T', 1. ) |
---|
[10267] | 563 | ! !-- ultimate interpolation of pt at u-point --! |
---|
| 564 | CALL ultimate_x( kn_umx, pdt, zzt, pu, puc, pt_u, pfu_ho ) |
---|
| 565 | ! !-- limiter in x --! |
---|
| 566 | IF( kn_limiter == 2 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho ) |
---|
| 567 | IF( kn_limiter == 3 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho, pfu_ups ) |
---|
[8586] | 568 | ! |
---|
[10267] | 569 | ENDIF |
---|
[10315] | 570 | IF( kn_limiter == 1 ) THEN |
---|
| 571 | IF( .NOT. ll_limiter_it2 ) THEN |
---|
| 572 | CALL nonosc_2d ( pdt, ptc, pt_ups, pfu_ups, pfv_ups, pfu_ho, pfv_ho ) |
---|
| 573 | ELSE |
---|
| 574 | zzfu_ho(:,:) = pfu_ho(:,:) |
---|
| 575 | zzfv_ho(:,:) = pfv_ho(:,:) |
---|
| 576 | ! 1st iteration of nonosc (limit the flux with the upstream solution) |
---|
| 577 | CALL nonosc_2d ( pdt, ptc, pt_ups, pfu_ups, pfv_ups, zzfu_ho, zzfv_ho ) |
---|
| 578 | ! guess after content field with high order |
---|
| 579 | DO jj = 2, jpjm1 |
---|
| 580 | DO ji = fs_2, fs_jpim1 |
---|
| 581 | ztra = - ( zzfu_ho(ji,jj) - zzfu_ho(ji-1,jj) + zzfv_ho(ji,jj) - zzfv_ho(ji,jj-1) ) * r1_e1e2t(ji,jj) |
---|
| 582 | zzt(ji,jj) = ( ptc(ji,jj) + pdt * ztra ) * tmask(ji,jj,1) |
---|
| 583 | END DO |
---|
| 584 | END DO |
---|
| 585 | CALL lbc_lnk( zzt, 'T', 1. ) |
---|
| 586 | ! 2nd iteration of nonosc (limit the flux with the limited high order solution) |
---|
| 587 | CALL nonosc_2d ( pdt, ptc, zzt, zzfu_ho, zzfv_ho, pfu_ho, pfv_ho ) |
---|
| 588 | ENDIF |
---|
| 589 | ENDIF |
---|
[8586] | 590 | ! |
---|
| 591 | END SUBROUTINE macho |
---|
| 592 | |
---|
| 593 | |
---|
[10267] | 594 | SUBROUTINE ultimate_x( kn_umx, pdt, pt, pu, puc, pt_u, pfu_ho ) |
---|
[8586] | 595 | !!--------------------------------------------------------------------- |
---|
| 596 | !! *** ROUTINE ultimate_x *** |
---|
| 597 | !! |
---|
| 598 | !! ** Purpose : compute |
---|
| 599 | !! |
---|
| 600 | !! ** Method : ... ??? |
---|
| 601 | !! TIM = transient interpolation Modeling |
---|
| 602 | !! |
---|
| 603 | !! Reference : Leonard, B.P., 1991, Comput. Methods Appl. Mech. Eng., 88, 17-74. |
---|
| 604 | !!---------------------------------------------------------------------- |
---|
[10267] | 605 | INTEGER , INTENT(in ) :: kn_umx ! order of the scheme (1-5=UM or 20=CEN2) |
---|
[8586] | 606 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
[10267] | 607 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pu ! ice i-velocity component |
---|
| 608 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: puc ! ice i-velocity * A component |
---|
[8586] | 609 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pt ! tracer fields |
---|
| 610 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pt_u ! tracer at u-point |
---|
[10267] | 611 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pfu_ho ! high order flux |
---|
[8586] | 612 | ! |
---|
[10267] | 613 | INTEGER :: ji, jj ! dummy loop indices |
---|
[8586] | 614 | REAL(wp) :: zcu, zdx2, zdx4 ! - - |
---|
[10267] | 615 | REAL(wp), DIMENSION(jpi,jpj) :: ztu1, ztu2, ztu3, ztu4 |
---|
[8586] | 616 | !!---------------------------------------------------------------------- |
---|
| 617 | ! |
---|
| 618 | ! !-- Laplacian in i-direction --! |
---|
| 619 | DO jj = 2, jpjm1 ! First derivative (gradient) |
---|
| 620 | DO ji = 1, fs_jpim1 |
---|
| 621 | ztu1(ji,jj) = ( pt(ji+1,jj) - pt(ji,jj) ) * r1_e1u(ji,jj) * umask(ji,jj,1) |
---|
| 622 | END DO |
---|
| 623 | ! ! Second derivative (Laplacian) |
---|
| 624 | DO ji = fs_2, fs_jpim1 |
---|
| 625 | ztu2(ji,jj) = ( ztu1(ji,jj) - ztu1(ji-1,jj) ) * r1_e1t(ji,jj) |
---|
| 626 | END DO |
---|
| 627 | END DO |
---|
| 628 | CALL lbc_lnk( ztu2, 'T', 1. ) |
---|
| 629 | ! |
---|
| 630 | ! !-- BiLaplacian in i-direction --! |
---|
| 631 | DO jj = 2, jpjm1 ! Third derivative |
---|
| 632 | DO ji = 1, fs_jpim1 |
---|
| 633 | ztu3(ji,jj) = ( ztu2(ji+1,jj) - ztu2(ji,jj) ) * r1_e1u(ji,jj) * umask(ji,jj,1) |
---|
| 634 | END DO |
---|
| 635 | ! ! Fourth derivative |
---|
| 636 | DO ji = fs_2, fs_jpim1 |
---|
| 637 | ztu4(ji,jj) = ( ztu3(ji,jj) - ztu3(ji-1,jj) ) * r1_e1t(ji,jj) |
---|
| 638 | END DO |
---|
| 639 | END DO |
---|
| 640 | CALL lbc_lnk( ztu4, 'T', 1. ) |
---|
| 641 | ! |
---|
| 642 | ! |
---|
[10267] | 643 | SELECT CASE (kn_umx ) |
---|
[8586] | 644 | ! |
---|
| 645 | CASE( 1 ) !== 1st order central TIM ==! (Eq. 21) |
---|
| 646 | ! |
---|
[8637] | 647 | DO jj = 2, jpjm1 |
---|
[8586] | 648 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10267] | 649 | pt_u(ji,jj) = 0.5_wp * umask(ji,jj,1) * ( pt(ji+1,jj) + pt(ji,jj) & |
---|
| 650 | & - SIGN( 1._wp, pu(ji,jj) ) * ( pt(ji+1,jj) - pt(ji,jj) ) ) |
---|
[8586] | 651 | END DO |
---|
| 652 | END DO |
---|
| 653 | ! |
---|
| 654 | CASE( 2 ) !== 2nd order central TIM ==! (Eq. 23) |
---|
| 655 | ! |
---|
[8637] | 656 | DO jj = 2, jpjm1 |
---|
[8586] | 657 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10267] | 658 | zcu = pu(ji,jj) * r1_e2u(ji,jj) * pdt * r1_e1u(ji,jj) |
---|
[8586] | 659 | pt_u(ji,jj) = 0.5_wp * umask(ji,jj,1) * ( pt(ji+1,jj) + pt(ji,jj) & |
---|
| 660 | & - zcu * ( pt(ji+1,jj) - pt(ji,jj) ) ) |
---|
| 661 | END DO |
---|
| 662 | END DO |
---|
| 663 | ! |
---|
| 664 | CASE( 3 ) !== 3rd order central TIM ==! (Eq. 24) |
---|
| 665 | ! |
---|
[8637] | 666 | DO jj = 2, jpjm1 |
---|
[8586] | 667 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10267] | 668 | zcu = pu(ji,jj) * r1_e2u(ji,jj) * pdt * r1_e1u(ji,jj) |
---|
[8586] | 669 | zdx2 = e1u(ji,jj) * e1u(ji,jj) |
---|
| 670 | !!rachid zdx2 = e1u(ji,jj) * e1t(ji,jj) |
---|
| 671 | pt_u(ji,jj) = 0.5_wp * umask(ji,jj,1) * ( ( pt (ji+1,jj) + pt (ji,jj) & |
---|
| 672 | & - zcu * ( pt (ji+1,jj) - pt (ji,jj) ) ) & |
---|
| 673 | & + z1_6 * zdx2 * ( zcu*zcu - 1._wp ) * ( ztu2(ji+1,jj) + ztu2(ji,jj) & |
---|
| 674 | & - SIGN( 1._wp, zcu ) * ( ztu2(ji+1,jj) - ztu2(ji,jj) ) ) ) |
---|
| 675 | END DO |
---|
| 676 | END DO |
---|
| 677 | ! |
---|
| 678 | CASE( 4 ) !== 4th order central TIM ==! (Eq. 27) |
---|
| 679 | ! |
---|
[8637] | 680 | DO jj = 2, jpjm1 |
---|
[8586] | 681 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10267] | 682 | zcu = pu(ji,jj) * r1_e2u(ji,jj) * pdt * r1_e1u(ji,jj) |
---|
[8586] | 683 | zdx2 = e1u(ji,jj) * e1u(ji,jj) |
---|
| 684 | !!rachid zdx2 = e1u(ji,jj) * e1t(ji,jj) |
---|
| 685 | pt_u(ji,jj) = 0.5_wp * umask(ji,jj,1) * ( ( pt (ji+1,jj) + pt (ji,jj) & |
---|
| 686 | & - zcu * ( pt (ji+1,jj) - pt (ji,jj) ) ) & |
---|
| 687 | & + z1_6 * zdx2 * ( zcu*zcu - 1._wp ) * ( ztu2(ji+1,jj) + ztu2(ji,jj) & |
---|
| 688 | & - 0.5_wp * zcu * ( ztu2(ji+1,jj) - ztu2(ji,jj) ) ) ) |
---|
| 689 | END DO |
---|
| 690 | END DO |
---|
| 691 | ! |
---|
| 692 | CASE( 5 ) !== 5th order central TIM ==! (Eq. 29) |
---|
| 693 | ! |
---|
[8637] | 694 | DO jj = 2, jpjm1 |
---|
[8586] | 695 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10267] | 696 | zcu = pu(ji,jj) * r1_e2u(ji,jj) * pdt * r1_e1u(ji,jj) |
---|
[8586] | 697 | zdx2 = e1u(ji,jj) * e1u(ji,jj) |
---|
| 698 | !!rachid zdx2 = e1u(ji,jj) * e1t(ji,jj) |
---|
| 699 | zdx4 = zdx2 * zdx2 |
---|
| 700 | pt_u(ji,jj) = 0.5_wp * umask(ji,jj,1) * ( ( pt (ji+1,jj) + pt (ji,jj) & |
---|
| 701 | & - zcu * ( pt (ji+1,jj) - pt (ji,jj) ) ) & |
---|
| 702 | & + z1_6 * zdx2 * ( zcu*zcu - 1._wp ) * ( ztu2(ji+1,jj) + ztu2(ji,jj) & |
---|
| 703 | & - 0.5_wp * zcu * ( ztu2(ji+1,jj) - ztu2(ji,jj) ) ) & |
---|
| 704 | & + z1_120 * zdx4 * ( zcu*zcu - 1._wp ) * ( zcu*zcu - 4._wp ) * ( ztu4(ji+1,jj) + ztu4(ji,jj) & |
---|
| 705 | & - SIGN( 1._wp, zcu ) * ( ztu4(ji+1,jj) - ztu4(ji,jj) ) ) ) |
---|
| 706 | END DO |
---|
| 707 | END DO |
---|
| 708 | ! |
---|
| 709 | END SELECT |
---|
[10267] | 710 | ! !-- High order flux in i-direction --! |
---|
| 711 | DO jj = 1, jpjm1 |
---|
| 712 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 713 | pfu_ho(ji,jj) = puc(ji,jj) * pt_u(ji,jj) |
---|
| 714 | END DO |
---|
| 715 | END DO |
---|
[8586] | 716 | ! |
---|
| 717 | END SUBROUTINE ultimate_x |
---|
| 718 | |
---|
| 719 | |
---|
[10267] | 720 | SUBROUTINE ultimate_y( kn_umx, pdt, pt, pv, pvc, pt_v, pfv_ho ) |
---|
[8586] | 721 | !!--------------------------------------------------------------------- |
---|
| 722 | !! *** ROUTINE ultimate_y *** |
---|
| 723 | !! |
---|
| 724 | !! ** Purpose : compute |
---|
| 725 | !! |
---|
| 726 | !! ** Method : ... ??? |
---|
| 727 | !! TIM = transient interpolation Modeling |
---|
| 728 | !! |
---|
| 729 | !! Reference : Leonard, B.P., 1991, Comput. Methods Appl. Mech. Eng., 88, 17-74. |
---|
| 730 | !!---------------------------------------------------------------------- |
---|
[10267] | 731 | INTEGER , INTENT(in ) :: kn_umx ! order of the scheme (1-5=UM or 20=CEN2) |
---|
[8586] | 732 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
[10267] | 733 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pv ! ice j-velocity component |
---|
| 734 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pvc ! ice j-velocity*A component |
---|
[8586] | 735 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pt ! tracer fields |
---|
| 736 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pt_v ! tracer at v-point |
---|
[10267] | 737 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pfv_ho ! high order flux |
---|
[8586] | 738 | ! |
---|
| 739 | INTEGER :: ji, jj ! dummy loop indices |
---|
| 740 | REAL(wp) :: zcv, zdy2, zdy4 ! - - |
---|
[10267] | 741 | REAL(wp), DIMENSION(jpi,jpj) :: ztv1, ztv2, ztv3, ztv4 |
---|
[8586] | 742 | !!---------------------------------------------------------------------- |
---|
| 743 | ! |
---|
| 744 | ! !-- Laplacian in j-direction --! |
---|
| 745 | DO jj = 1, jpjm1 ! First derivative (gradient) |
---|
| 746 | DO ji = fs_2, fs_jpim1 |
---|
| 747 | ztv1(ji,jj) = ( pt(ji,jj+1) - pt(ji,jj) ) * r1_e2v(ji,jj) * vmask(ji,jj,1) |
---|
| 748 | END DO |
---|
| 749 | END DO |
---|
| 750 | DO jj = 2, jpjm1 ! Second derivative (Laplacian) |
---|
| 751 | DO ji = fs_2, fs_jpim1 |
---|
| 752 | ztv2(ji,jj) = ( ztv1(ji,jj) - ztv1(ji,jj-1) ) * r1_e2t(ji,jj) |
---|
| 753 | END DO |
---|
| 754 | END DO |
---|
| 755 | CALL lbc_lnk( ztv2, 'T', 1. ) |
---|
| 756 | ! |
---|
| 757 | ! !-- BiLaplacian in j-direction --! |
---|
| 758 | DO jj = 1, jpjm1 ! First derivative |
---|
| 759 | DO ji = fs_2, fs_jpim1 |
---|
| 760 | ztv3(ji,jj) = ( ztv2(ji,jj+1) - ztv2(ji,jj) ) * r1_e2v(ji,jj) * vmask(ji,jj,1) |
---|
| 761 | END DO |
---|
| 762 | END DO |
---|
| 763 | DO jj = 2, jpjm1 ! Second derivative |
---|
| 764 | DO ji = fs_2, fs_jpim1 |
---|
| 765 | ztv4(ji,jj) = ( ztv3(ji,jj) - ztv3(ji,jj-1) ) * r1_e2t(ji,jj) |
---|
| 766 | END DO |
---|
| 767 | END DO |
---|
| 768 | CALL lbc_lnk( ztv4, 'T', 1. ) |
---|
| 769 | ! |
---|
| 770 | ! |
---|
[10267] | 771 | SELECT CASE (kn_umx ) |
---|
[8586] | 772 | ! |
---|
| 773 | CASE( 1 ) !== 1st order central TIM ==! (Eq. 21) |
---|
| 774 | DO jj = 1, jpjm1 |
---|
[8637] | 775 | DO ji = fs_2, fs_jpim1 |
---|
[10267] | 776 | pt_v(ji,jj) = 0.5_wp * vmask(ji,jj,1) * ( ( pt(ji,jj+1) + pt(ji,jj) ) & |
---|
| 777 | & - SIGN( 1._wp, pv(ji,jj) ) * ( pt(ji,jj+1) - pt(ji,jj) ) ) |
---|
[8586] | 778 | END DO |
---|
| 779 | END DO |
---|
| 780 | ! |
---|
| 781 | CASE( 2 ) !== 2nd order central TIM ==! (Eq. 23) |
---|
| 782 | DO jj = 1, jpjm1 |
---|
[8637] | 783 | DO ji = fs_2, fs_jpim1 |
---|
[10267] | 784 | zcv = pv(ji,jj) * r1_e1v(ji,jj) * pdt * r1_e2v(ji,jj) |
---|
[8586] | 785 | pt_v(ji,jj) = 0.5_wp * vmask(ji,jj,1) * ( ( pt(ji,jj+1) + pt(ji,jj) ) & |
---|
| 786 | & - zcv * ( pt(ji,jj+1) - pt(ji,jj) ) ) |
---|
| 787 | END DO |
---|
| 788 | END DO |
---|
[9421] | 789 | CALL lbc_lnk( pt_v, 'V', 1. ) |
---|
[8586] | 790 | ! |
---|
| 791 | CASE( 3 ) !== 3rd order central TIM ==! (Eq. 24) |
---|
| 792 | DO jj = 1, jpjm1 |
---|
[8637] | 793 | DO ji = fs_2, fs_jpim1 |
---|
[10267] | 794 | zcv = pv(ji,jj) * r1_e1v(ji,jj) * pdt * r1_e2v(ji,jj) |
---|
[8586] | 795 | zdy2 = e2v(ji,jj) * e2v(ji,jj) |
---|
| 796 | !!rachid zdy2 = e2v(ji,jj) * e2t(ji,jj) |
---|
| 797 | pt_v(ji,jj) = 0.5_wp * vmask(ji,jj,1) * ( ( pt (ji,jj+1) + pt (ji,jj) & |
---|
| 798 | & - zcv * ( pt (ji,jj+1) - pt (ji,jj) ) ) & |
---|
| 799 | & + z1_6 * zdy2 * ( zcv*zcv - 1._wp ) * ( ztv2(ji,jj+1) + ztv2(ji,jj) & |
---|
| 800 | & - SIGN( 1._wp, zcv ) * ( ztv2(ji,jj+1) - ztv2(ji,jj) ) ) ) |
---|
| 801 | END DO |
---|
| 802 | END DO |
---|
| 803 | ! |
---|
| 804 | CASE( 4 ) !== 4th order central TIM ==! (Eq. 27) |
---|
| 805 | DO jj = 1, jpjm1 |
---|
[8637] | 806 | DO ji = fs_2, fs_jpim1 |
---|
[10267] | 807 | zcv = pv(ji,jj) * r1_e1v(ji,jj) * pdt * r1_e2v(ji,jj) |
---|
[8586] | 808 | zdy2 = e2v(ji,jj) * e2v(ji,jj) |
---|
| 809 | !!rachid zdy2 = e2v(ji,jj) * e2t(ji,jj) |
---|
| 810 | pt_v(ji,jj) = 0.5_wp * vmask(ji,jj,1) * ( ( pt (ji,jj+1) + pt (ji,jj) & |
---|
| 811 | & - zcv * ( pt (ji,jj+1) - pt (ji,jj) ) ) & |
---|
| 812 | & + z1_6 * zdy2 * ( zcv*zcv - 1._wp ) * ( ztv2(ji,jj+1) + ztv2(ji,jj) & |
---|
| 813 | & - 0.5_wp * zcv * ( ztv2(ji,jj+1) - ztv2(ji,jj) ) ) ) |
---|
| 814 | END DO |
---|
| 815 | END DO |
---|
| 816 | ! |
---|
| 817 | CASE( 5 ) !== 5th order central TIM ==! (Eq. 29) |
---|
| 818 | DO jj = 1, jpjm1 |
---|
[8637] | 819 | DO ji = fs_2, fs_jpim1 |
---|
[10267] | 820 | zcv = pv(ji,jj) * r1_e1v(ji,jj) * pdt * r1_e2v(ji,jj) |
---|
[8586] | 821 | zdy2 = e2v(ji,jj) * e2v(ji,jj) |
---|
| 822 | !!rachid zdy2 = e2v(ji,jj) * e2t(ji,jj) |
---|
| 823 | zdy4 = zdy2 * zdy2 |
---|
| 824 | pt_v(ji,jj) = 0.5_wp * vmask(ji,jj,1) * ( ( pt (ji,jj+1) + pt (ji,jj) & |
---|
| 825 | & - zcv * ( pt (ji,jj+1) - pt (ji,jj) ) ) & |
---|
| 826 | & + z1_6 * zdy2 * ( zcv*zcv - 1._wp ) * ( ztv2(ji,jj+1) + ztv2(ji,jj) & |
---|
| 827 | & - 0.5_wp * zcv * ( ztv2(ji,jj+1) - ztv2(ji,jj) ) ) & |
---|
| 828 | & + z1_120 * zdy4 * ( zcv*zcv - 1._wp ) * ( zcv*zcv - 4._wp ) * ( ztv4(ji,jj+1) + ztv4(ji,jj) & |
---|
| 829 | & - SIGN( 1._wp, zcv ) * ( ztv4(ji,jj+1) - ztv4(ji,jj) ) ) ) |
---|
| 830 | END DO |
---|
| 831 | END DO |
---|
| 832 | ! |
---|
| 833 | END SELECT |
---|
[10267] | 834 | ! !-- High order flux in j-direction --! |
---|
| 835 | DO jj = 1, jpjm1 |
---|
| 836 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 837 | pfv_ho(ji,jj) = pvc(ji,jj) * pt_v(ji,jj) |
---|
| 838 | END DO |
---|
| 839 | END DO |
---|
[8586] | 840 | ! |
---|
| 841 | END SUBROUTINE ultimate_y |
---|
[10267] | 842 | |
---|
| 843 | |
---|
[10315] | 844 | SUBROUTINE nonosc_2d( pdt, ptc, pt_low, pfu_low, pfv_low, pfu_ho, pfv_ho ) |
---|
[8586] | 845 | !!--------------------------------------------------------------------- |
---|
| 846 | !! *** ROUTINE nonosc *** |
---|
| 847 | !! |
---|
[10315] | 848 | !! ** Purpose : compute monotonic tracer fluxes from the upstream |
---|
[8586] | 849 | !! scheme and the before field by a nonoscillatory algorithm |
---|
| 850 | !! |
---|
| 851 | !! ** Method : ... ??? |
---|
[10315] | 852 | !! warning : ptc and pt_low must be masked, but the boundaries |
---|
[8586] | 853 | !! conditions on the fluxes are not necessary zalezak (1979) |
---|
| 854 | !! drange (1995) multi-dimensional forward-in-time and upstream- |
---|
| 855 | !! in-space based differencing for fluid |
---|
| 856 | !!---------------------------------------------------------------------- |
---|
[10267] | 857 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
[10315] | 858 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: ptc, pt_low ! before field & upstream guess of after field |
---|
| 859 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: pfv_low, pfu_low ! upstream flux |
---|
[10267] | 860 | REAL(wp), DIMENSION (jpi,jpj), INTENT(inout) :: pfv_ho, pfu_ho ! monotonic flux |
---|
[8586] | 861 | ! |
---|
| 862 | INTEGER :: ji, jj ! dummy loop indices |
---|
[10267] | 863 | REAL(wp) :: zpos, zneg, zbig, zsml, z1_dt ! local scalars |
---|
[10315] | 864 | REAL(wp) :: zau, zbu, zcu, zav, zbv, zcv, zup, zdo, zsign ! - - |
---|
| 865 | REAL(wp), DIMENSION(jpi,jpj) :: zbetup, zbetdo, zbup, zbdo, zti_low, ztj_low |
---|
[8586] | 866 | !!---------------------------------------------------------------------- |
---|
| 867 | zbig = 1.e+40_wp |
---|
[10315] | 868 | zsml = epsi20 |
---|
[8586] | 869 | |
---|
[10267] | 870 | ! antidiffusive flux : high order minus low order |
---|
| 871 | ! -------------------------------------------------- |
---|
| 872 | DO jj = 1, jpjm1 |
---|
| 873 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10315] | 874 | pfu_ho(ji,jj) = pfu_ho(ji,jj) - pfu_low(ji,jj) |
---|
| 875 | pfv_ho(ji,jj) = pfv_ho(ji,jj) - pfv_low(ji,jj) |
---|
[10267] | 876 | END DO |
---|
| 877 | END DO |
---|
[8586] | 878 | |
---|
[10315] | 879 | ! extreme case where pfu_ho has to be zero |
---|
| 880 | ! ---------------------------------------- |
---|
| 881 | ! pfu_ho |
---|
| 882 | ! * ---> |
---|
| 883 | ! | | * | | |
---|
| 884 | ! | | | * | |
---|
| 885 | ! | | | | * |
---|
| 886 | ! t_low : i-1 i i+1 i+2 |
---|
| 887 | IF( ll_prelimiter ) THEN |
---|
| 888 | |
---|
| 889 | DO jj = 2, jpjm1 |
---|
| 890 | DO ji = fs_2, fs_jpim1 |
---|
| 891 | zti_low(ji,jj)= pt_low(ji+1,jj ) |
---|
| 892 | ztj_low(ji,jj)= pt_low(ji ,jj+1) |
---|
| 893 | END DO |
---|
| 894 | END DO |
---|
| 895 | CALL lbc_lnk_multi( zti_low, 'T', 1., ztj_low, 'T', 1. ) |
---|
| 896 | |
---|
| 897 | IF( ll_prelimiter_zalesak ) THEN |
---|
| 898 | |
---|
| 899 | !! this does not work |
---|
| 900 | !! DO jj = 2, jpjm1 |
---|
| 901 | !! DO ji = fs_2, fs_jpim1 |
---|
| 902 | !! IF( SIGN( 1., pfu_ho(ji,jj) ) /= SIGN( 1., pt_low (ji+1,jj ) - pt_low (ji ,jj) ) .AND. & |
---|
| 903 | !! & SIGN( 1., pfv_ho(ji,jj) ) /= SIGN( 1., pt_low (ji ,jj+1) - pt_low (ji ,jj) ) & |
---|
| 904 | !! & ) THEN |
---|
| 905 | !! IF( SIGN( 1., pfu_ho(ji,jj) ) /= SIGN( 1., zti_low(ji+1,jj ) - zti_low(ji ,jj) ) .AND. & |
---|
| 906 | !! & SIGN( 1., pfv_ho(ji,jj) ) /= SIGN( 1., ztj_low(ji,jj+1 ) - ztj_low(ji ,jj) ) & |
---|
| 907 | !! & ) THEN |
---|
| 908 | !! pfu_ho(ji,jj) = 0. ; pfv_ho(ji,jj) = 0. |
---|
| 909 | !! ENDIF |
---|
| 910 | !! IF( SIGN( 1., pfu_ho(ji,jj) ) /= SIGN( 1., pt_low (ji ,jj) - pt_low (ji-1,jj ) ) .AND. & |
---|
| 911 | !! & SIGN( 1., pfv_ho(ji,jj) ) /= SIGN( 1., pt_low (ji ,jj) - pt_low (ji ,jj-1) ) & |
---|
| 912 | !! & ) THEN |
---|
| 913 | !! pfu_ho(ji,jj) = 0. ; pfv_ho(ji,jj) = 0. |
---|
| 914 | !! ENDIF |
---|
| 915 | !! ENDIF |
---|
| 916 | !! END DO |
---|
| 917 | !! END DO |
---|
| 918 | |
---|
| 919 | DO jj = 2, jpjm1 |
---|
| 920 | DO ji = fs_2, fs_jpim1 |
---|
| 921 | IF ( pfu_ho(ji,jj) * ( pt_low(ji+1,jj) - pt_low(ji,jj) ) <= 0. .AND. & |
---|
| 922 | & pfv_ho(ji,jj) * ( pt_low(ji,jj+1) - pt_low(ji,jj) ) <= 0. ) THEN |
---|
| 923 | ! |
---|
| 924 | IF( pfu_ho(ji,jj) * ( zti_low(ji+1,jj) - zti_low(ji,jj) ) <= 0 .AND. & |
---|
| 925 | & pfv_ho(ji,jj) * ( ztj_low(ji,jj+1) - ztj_low(ji,jj) ) <= 0) pfu_ho(ji,jj)=0. ; pfv_ho(ji,jj)=0. |
---|
| 926 | ! |
---|
| 927 | IF( pfu_ho(ji,jj) * ( pt_low(ji ,jj) - pt_low(ji-1,jj) ) <= 0 .AND. & |
---|
| 928 | & pfv_ho(ji,jj) * ( pt_low(ji ,jj) - pt_low(ji,jj-1) ) <= 0) pfu_ho(ji,jj)=0. ; pfv_ho(ji,jj)=0. |
---|
| 929 | ! |
---|
| 930 | ENDIF |
---|
| 931 | END DO |
---|
| 932 | END DO |
---|
| 933 | CALL lbc_lnk_multi( pfu_ho, 'U', -1., pfv_ho, 'V', -1. ) ! lateral boundary cond. |
---|
| 934 | |
---|
| 935 | ELSEIF( ll_prelimiter_devore ) THEN |
---|
| 936 | z1_dt = 1._wp / pdt |
---|
| 937 | DO jj = 2, jpjm1 |
---|
| 938 | DO ji = fs_2, fs_jpim1 |
---|
| 939 | zsign = SIGN( 1., pt_low(ji+1,jj) - pt_low(ji,jj) ) |
---|
| 940 | pfu_ho(ji,jj) = zsign * MAX( 0. , MIN( ABS(pfu_ho(ji,jj)) , & |
---|
| 941 | & zsign * ( pt_low (ji ,jj) - pt_low (ji-1,jj) ) * e1e2t(ji ,jj) * z1_dt , & |
---|
| 942 | & zsign * ( zti_low(ji+1,jj) - zti_low(ji ,jj) ) * e1e2t(ji+1,jj) * z1_dt ) ) |
---|
| 943 | |
---|
| 944 | zsign = SIGN( 1., pt_low(ji,jj+1) - pt_low(ji,jj) ) |
---|
| 945 | pfv_ho(ji,jj) = zsign * MAX( 0. , MIN( ABS(pfv_ho(ji,jj)) , & |
---|
| 946 | & zsign * ( pt_low (ji,jj ) - pt_low (ji,jj-1) ) * e1e2t(ji,jj ) * z1_dt , & |
---|
| 947 | & zsign * ( ztj_low(ji,jj+1) - ztj_low(ji,jj ) ) * e1e2t(ji,jj+1) * z1_dt ) ) |
---|
| 948 | END DO |
---|
| 949 | END DO |
---|
| 950 | CALL lbc_lnk_multi( pfu_ho, 'U', -1., pfv_ho, 'V', -1. ) ! lateral boundary cond. |
---|
| 951 | |
---|
| 952 | ENDIF |
---|
| 953 | |
---|
| 954 | ENDIF |
---|
| 955 | |
---|
[8586] | 956 | ! Search local extrema |
---|
| 957 | ! -------------------- |
---|
[10315] | 958 | ! max/min of ptc & pt_low with large negative/positive value (-/+zbig) outside ice cover |
---|
[10267] | 959 | DO jj = 1, jpj |
---|
[10315] | 960 | DO ji = 1, jpi |
---|
| 961 | !!clem IF ( ptc(ji,jj) == 0._wp .AND. pt_low(ji,jj) == 0._wp ) THEN |
---|
| 962 | IF ( ptc(ji,jj) <= epsi20 .AND. pt_low(ji,jj) <= epsi20 ) THEN |
---|
[10267] | 963 | zbup(ji,jj) = -zbig |
---|
| 964 | zbdo(ji,jj) = zbig |
---|
[10315] | 965 | !!clem ELSEIF( ptc(ji,jj) == 0._wp .AND. pt_low(ji,jj) /= 0._wp ) THEN |
---|
| 966 | ELSEIF( ptc(ji,jj) <= epsi20 .AND. pt_low(ji,jj) > epsi20 ) THEN |
---|
| 967 | zbup(ji,jj) = pt_low(ji,jj) |
---|
| 968 | zbdo(ji,jj) = pt_low(ji,jj) |
---|
| 969 | !!clem ELSEIF( ptc(ji,jj) /= 0._wp .AND. pt_low(ji,jj) == 0._wp ) THEN |
---|
| 970 | ELSEIF( ptc(ji,jj) > epsi20 .AND. pt_low(ji,jj) <= epsi20 ) THEN |
---|
| 971 | zbup(ji,jj) = ptc(ji,jj) |
---|
| 972 | zbdo(ji,jj) = ptc(ji,jj) |
---|
| 973 | ELSE |
---|
| 974 | zbup(ji,jj) = MAX( ptc(ji,jj) , pt_low(ji,jj) ) |
---|
| 975 | zbdo(ji,jj) = MIN( ptc(ji,jj) , pt_low(ji,jj) ) |
---|
[10267] | 976 | ENDIF |
---|
| 977 | END DO |
---|
| 978 | END DO |
---|
[8586] | 979 | |
---|
| 980 | z1_dt = 1._wp / pdt |
---|
| 981 | DO jj = 2, jpjm1 |
---|
| 982 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 983 | ! |
---|
[10315] | 984 | !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 |
---|
| 985 | !zdo = MIN( zbdo(ji,jj), zbdo(ji-1,jj ), zbdo(ji+1,jj ), zbdo(ji ,jj-1), zbdo(ji ,jj+1) ) |
---|
[10267] | 986 | ! |
---|
[10315] | 987 | 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 |
---|
| 988 | & zbup(ji-1,jj-1), zbup(ji+1,jj+1), zbup(ji+1,jj-1), zbup(ji-1,jj+1) ) |
---|
| 989 | zdo = MIN( zbdo(ji,jj), zbdo(ji-1,jj ), zbdo(ji+1,jj ), zbdo(ji ,jj-1), zbdo(ji ,jj+1), & |
---|
| 990 | & zbdo(ji-1,jj-1), zbdo(ji+1,jj+1), zbdo(ji+1,jj-1), zbdo(ji-1,jj+1) ) |
---|
| 991 | ! |
---|
| 992 | zpos = MAX( 0., pfu_ho(ji-1,jj) ) - MIN( 0., pfu_ho(ji ,jj) ) & ! positive/negative part of the flux |
---|
| 993 | & + MAX( 0., pfv_ho(ji,jj-1) ) - MIN( 0., pfv_ho(ji,jj ) ) |
---|
[10267] | 994 | zneg = MAX( 0., pfu_ho(ji ,jj) ) - MIN( 0., pfu_ho(ji-1,jj) ) & |
---|
| 995 | & + MAX( 0., pfv_ho(ji,jj ) ) - MIN( 0., pfv_ho(ji,jj-1) ) |
---|
| 996 | ! |
---|
| 997 | ! ! up & down beta terms |
---|
[10315] | 998 | ! zbetup(ji,jj) = ( zup - pt_low(ji,jj) ) / ( zpos + zsml ) * e1e2t(ji,jj) * z1_dt |
---|
| 999 | ! zbetdo(ji,jj) = ( pt_low(ji,jj) - zdo ) / ( zneg + zsml ) * e1e2t(ji,jj) * z1_dt |
---|
| 1000 | IF( zpos >= epsi10 ) THEN ; zbetup(ji,jj) = ( zup - pt_low(ji,jj) ) / zpos * e1e2t(ji,jj) * z1_dt |
---|
| 1001 | ELSE ; zbetup(ji,jj) = 0. |
---|
[10267] | 1002 | ENDIF |
---|
| 1003 | ! |
---|
[10315] | 1004 | IF( zneg >= epsi10 ) THEN ; zbetdo(ji,jj) = ( pt_low(ji,jj) - zdo ) / zneg * e1e2t(ji,jj) * z1_dt |
---|
| 1005 | ELSE ; zbetdo(ji,jj) = 0. |
---|
[10267] | 1006 | ENDIF |
---|
| 1007 | ! |
---|
[10315] | 1008 | IF( zbetdo(ji,jj) < 0._wp ) zbetdo(ji,jj)=0. |
---|
| 1009 | IF( zbetup(ji,jj) < 0._wp ) zbetup(ji,jj)=0. |
---|
| 1010 | ! |
---|
| 1011 | ! |
---|
[8586] | 1012 | END DO |
---|
| 1013 | END DO |
---|
| 1014 | CALL lbc_lnk_multi( zbetup, 'T', 1., zbetdo, 'T', 1. ) ! lateral boundary cond. (unchanged sign) |
---|
| 1015 | |
---|
[10267] | 1016 | ! monotonic flux in the y direction |
---|
| 1017 | ! --------------------------------- |
---|
| 1018 | DO jj = 1, jpjm1 |
---|
[8637] | 1019 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[8586] | 1020 | zau = MIN( 1._wp , zbetdo(ji,jj) , zbetup(ji+1,jj) ) |
---|
| 1021 | zbu = MIN( 1._wp , zbetup(ji,jj) , zbetdo(ji+1,jj) ) |
---|
[10267] | 1022 | zcu = 0.5 + SIGN( 0.5 , pfu_ho(ji,jj) ) |
---|
[8586] | 1023 | ! |
---|
[10315] | 1024 | pfu_ho(ji,jj) = pfu_ho(ji,jj) * ( zcu * zau + ( 1._wp - zcu ) * zbu ) + pfu_low(ji,jj) |
---|
[8637] | 1025 | END DO |
---|
| 1026 | END DO |
---|
[10267] | 1027 | |
---|
[8637] | 1028 | DO jj = 1, jpjm1 |
---|
[10267] | 1029 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[8586] | 1030 | zav = MIN( 1._wp , zbetdo(ji,jj) , zbetup(ji,jj+1) ) |
---|
| 1031 | zbv = MIN( 1._wp , zbetup(ji,jj) , zbetdo(ji,jj+1) ) |
---|
[10267] | 1032 | zcv = 0.5 + SIGN( 0.5 , pfv_ho(ji,jj) ) |
---|
[8586] | 1033 | ! |
---|
[10315] | 1034 | pfv_ho(ji,jj) = pfv_ho(ji,jj) * ( zcv * zav + ( 1._wp - zcv ) * zbv ) + pfv_low(ji,jj) |
---|
[8586] | 1035 | END DO |
---|
| 1036 | END DO |
---|
| 1037 | ! |
---|
| 1038 | END SUBROUTINE nonosc_2d |
---|
| 1039 | |
---|
[10267] | 1040 | SUBROUTINE limiter_x( pdt, pu, puc, pt, pfu_ho, pfu_ups ) |
---|
| 1041 | !!--------------------------------------------------------------------- |
---|
| 1042 | !! *** ROUTINE limiter_x *** |
---|
| 1043 | !! |
---|
| 1044 | !! ** Purpose : compute flux limiter |
---|
| 1045 | !!---------------------------------------------------------------------- |
---|
| 1046 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
| 1047 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: pu ! ice i-velocity => u*e2 |
---|
| 1048 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: puc ! ice i-velocity *A => u*e2*a |
---|
| 1049 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: pt ! ice tracer |
---|
| 1050 | REAL(wp), DIMENSION (jpi,jpj), INTENT(inout) :: pfu_ho ! high order flux |
---|
| 1051 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ), OPTIONAL :: pfu_ups ! upstream flux |
---|
| 1052 | ! |
---|
| 1053 | REAL(wp) :: Cr, Rjm, Rj, Rjp, uCFL, zpsi, zh3, zlimiter, Rr |
---|
| 1054 | INTEGER :: ji, jj ! dummy loop indices |
---|
| 1055 | REAL(wp), DIMENSION (jpi,jpj) :: zslpx ! tracer slopes |
---|
| 1056 | !!---------------------------------------------------------------------- |
---|
| 1057 | ! |
---|
| 1058 | DO jj = 2, jpjm1 |
---|
| 1059 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 1060 | zslpx(ji,jj) = ( pt(ji+1,jj) - pt(ji,jj) ) * umask(ji,jj,1) |
---|
| 1061 | END DO |
---|
| 1062 | END DO |
---|
| 1063 | CALL lbc_lnk( zslpx, 'U', -1.) ! lateral boundary cond. |
---|
| 1064 | |
---|
| 1065 | DO jj = 2, jpjm1 |
---|
| 1066 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 1067 | uCFL = pdt * ABS( pu(ji,jj) ) * r1_e1e2t(ji,jj) |
---|
| 1068 | |
---|
| 1069 | Rjm = zslpx(ji-1,jj) |
---|
| 1070 | Rj = zslpx(ji ,jj) |
---|
| 1071 | Rjp = zslpx(ji+1,jj) |
---|
| 1072 | |
---|
| 1073 | IF( PRESENT(pfu_ups) ) THEN |
---|
| 1074 | |
---|
| 1075 | IF( pu(ji,jj) > 0. ) THEN ; Rr = Rjm |
---|
| 1076 | ELSE ; Rr = Rjp |
---|
| 1077 | ENDIF |
---|
| 1078 | |
---|
| 1079 | zh3 = pfu_ho(ji,jj) - pfu_ups(ji,jj) |
---|
| 1080 | IF( Rj > 0. ) THEN |
---|
| 1081 | zlimiter = MAX( 0., MIN( zh3, MAX(-Rr * 0.5 * ABS(puc(ji,jj)), & |
---|
| 1082 | & MIN( 2. * Rr * 0.5 * ABS(puc(ji,jj)), zh3, 1.5 * Rj * 0.5 * ABS(puc(ji,jj)) ) ) ) ) |
---|
| 1083 | ELSE |
---|
| 1084 | zlimiter = -MAX( 0., MIN(-zh3, MAX( Rr * 0.5 * ABS(puc(ji,jj)), & |
---|
| 1085 | & MIN(-2. * Rr * 0.5 * ABS(puc(ji,jj)), -zh3, -1.5 * Rj * 0.5 * ABS(puc(ji,jj)) ) ) ) ) |
---|
| 1086 | ENDIF |
---|
| 1087 | pfu_ho(ji,jj) = pfu_ups(ji,jj) + zlimiter |
---|
| 1088 | |
---|
| 1089 | ELSE |
---|
| 1090 | IF( Rj /= 0. ) THEN |
---|
| 1091 | IF( pu(ji,jj) > 0. ) THEN ; Cr = Rjm / Rj |
---|
| 1092 | ELSE ; Cr = Rjp / Rj |
---|
| 1093 | ENDIF |
---|
| 1094 | ELSE |
---|
| 1095 | Cr = 0. |
---|
| 1096 | !IF( pu(ji,jj) > 0. ) THEN ; Cr = Rjm * 1.e20 |
---|
| 1097 | !ELSE ; Cr = Rjp * 1.e20 |
---|
| 1098 | !ENDIF |
---|
| 1099 | ENDIF |
---|
| 1100 | |
---|
| 1101 | ! -- superbee -- |
---|
| 1102 | zpsi = MAX( 0., MAX( MIN(1.,2.*Cr), MIN(2.,Cr) ) ) |
---|
| 1103 | ! -- van albada 2 -- |
---|
| 1104 | !!zpsi = 2.*Cr / (Cr*Cr+1.) |
---|
| 1105 | |
---|
| 1106 | ! -- sweby (with beta=1) -- |
---|
| 1107 | !!zpsi = MAX( 0., MAX( MIN(1.,1.*Cr), MIN(1.,Cr) ) ) |
---|
| 1108 | ! -- van Leer -- |
---|
| 1109 | !!zpsi = ( Cr + ABS(Cr) ) / ( 1. + ABS(Cr) ) |
---|
| 1110 | ! -- ospre -- |
---|
| 1111 | !!zpsi = 1.5 * ( Cr*Cr + Cr ) / ( Cr*Cr + Cr + 1. ) |
---|
| 1112 | ! -- koren -- |
---|
| 1113 | !!zpsi = MAX( 0., MIN( 2.*Cr, MIN( (1.+2*Cr)/3., 2. ) ) ) |
---|
| 1114 | ! -- charm -- |
---|
| 1115 | !IF( Cr > 0. ) THEN ; zpsi = Cr * (3.*Cr + 1.) / ( (Cr + 1.) * (Cr + 1.) ) |
---|
| 1116 | !ELSE ; zpsi = 0. |
---|
| 1117 | !ENDIF |
---|
| 1118 | ! -- van albada 1 -- |
---|
| 1119 | !!zpsi = (Cr*Cr + Cr) / (Cr*Cr +1) |
---|
| 1120 | ! -- smart -- |
---|
| 1121 | !!zpsi = MAX( 0., MIN( 2.*Cr, MIN( 0.25+0.75*Cr, 4. ) ) ) |
---|
| 1122 | ! -- umist -- |
---|
| 1123 | !!zpsi = MAX( 0., MIN( 2.*Cr, MIN( 0.25+0.75*Cr, MIN(0.75+0.25*Cr, 2. ) ) ) ) |
---|
| 1124 | |
---|
| 1125 | ! high order flux corrected by the limiter |
---|
| 1126 | pfu_ho(ji,jj) = pfu_ho(ji,jj) - ABS( puc(ji,jj) ) * ( (1.-zpsi) + uCFL*zpsi ) * Rj * 0.5 |
---|
| 1127 | |
---|
| 1128 | ENDIF |
---|
| 1129 | END DO |
---|
| 1130 | END DO |
---|
| 1131 | CALL lbc_lnk( pfu_ho, 'U', -1.) ! lateral boundary cond. |
---|
| 1132 | ! |
---|
| 1133 | END SUBROUTINE limiter_x |
---|
| 1134 | |
---|
| 1135 | SUBROUTINE limiter_y( pdt, pv, pvc, pt, pfv_ho, pfv_ups ) |
---|
| 1136 | !!--------------------------------------------------------------------- |
---|
| 1137 | !! *** ROUTINE limiter_y *** |
---|
| 1138 | !! |
---|
| 1139 | !! ** Purpose : compute flux limiter |
---|
| 1140 | !!---------------------------------------------------------------------- |
---|
| 1141 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
| 1142 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: pv ! ice i-velocity => u*e2 |
---|
| 1143 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: pvc ! ice i-velocity *A => u*e2*a |
---|
| 1144 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: pt ! ice tracer |
---|
| 1145 | REAL(wp), DIMENSION (jpi,jpj), INTENT(inout) :: pfv_ho ! high order flux |
---|
| 1146 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ), OPTIONAL :: pfv_ups ! upstream flux |
---|
| 1147 | ! |
---|
| 1148 | REAL(wp) :: Cr, Rjm, Rj, Rjp, vCFL, zpsi, zh3, zlimiter, Rr |
---|
| 1149 | INTEGER :: ji, jj ! dummy loop indices |
---|
| 1150 | REAL(wp), DIMENSION (jpi,jpj) :: zslpy ! tracer slopes |
---|
| 1151 | !!---------------------------------------------------------------------- |
---|
| 1152 | ! |
---|
| 1153 | DO jj = 2, jpjm1 |
---|
| 1154 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 1155 | zslpy(ji,jj) = ( pt(ji,jj+1) - pt(ji,jj) ) * vmask(ji,jj,1) |
---|
| 1156 | END DO |
---|
| 1157 | END DO |
---|
| 1158 | CALL lbc_lnk( zslpy, 'V', -1.) ! lateral boundary cond. |
---|
| 1159 | |
---|
| 1160 | DO jj = 2, jpjm1 |
---|
| 1161 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 1162 | vCFL = pdt * ABS( pv(ji,jj) ) * r1_e1e2t(ji,jj) |
---|
| 1163 | |
---|
| 1164 | Rjm = zslpy(ji,jj-1) |
---|
| 1165 | Rj = zslpy(ji,jj ) |
---|
| 1166 | Rjp = zslpy(ji,jj+1) |
---|
| 1167 | |
---|
| 1168 | IF( PRESENT(pfv_ups) ) THEN |
---|
| 1169 | |
---|
| 1170 | IF( pv(ji,jj) > 0. ) THEN ; Rr = Rjm |
---|
| 1171 | ELSE ; Rr = Rjp |
---|
| 1172 | ENDIF |
---|
| 1173 | |
---|
| 1174 | zh3 = pfv_ho(ji,jj) - pfv_ups(ji,jj) |
---|
| 1175 | IF( Rj > 0. ) THEN |
---|
| 1176 | zlimiter = MAX( 0., MIN( zh3, MAX(-Rr * 0.5 * ABS(pvc(ji,jj)), & |
---|
| 1177 | & MIN( 2. * Rr * 0.5 * ABS(pvc(ji,jj)), zh3, 1.5 * Rj * 0.5 * ABS(pvc(ji,jj)) ) ) ) ) |
---|
| 1178 | ELSE |
---|
| 1179 | zlimiter = -MAX( 0., MIN(-zh3, MAX( Rr * 0.5 * ABS(pvc(ji,jj)), & |
---|
| 1180 | & MIN(-2. * Rr * 0.5 * ABS(pvc(ji,jj)), -zh3, -1.5 * Rj * 0.5 * ABS(pvc(ji,jj)) ) ) ) ) |
---|
| 1181 | ENDIF |
---|
| 1182 | pfv_ho(ji,jj) = pfv_ups(ji,jj) + zlimiter |
---|
| 1183 | |
---|
| 1184 | ELSE |
---|
| 1185 | |
---|
| 1186 | IF( Rj /= 0. ) THEN |
---|
| 1187 | IF( pv(ji,jj) > 0. ) THEN ; Cr = Rjm / Rj |
---|
| 1188 | ELSE ; Cr = Rjp / Rj |
---|
| 1189 | ENDIF |
---|
| 1190 | ELSE |
---|
| 1191 | Cr = 0. |
---|
| 1192 | !IF( pv(ji,jj) > 0. ) THEN ; Cr = Rjm * 1.e20 |
---|
| 1193 | !ELSE ; Cr = Rjp * 1.e20 |
---|
| 1194 | !ENDIF |
---|
| 1195 | ENDIF |
---|
| 1196 | |
---|
| 1197 | ! -- superbee -- |
---|
| 1198 | zpsi = MAX( 0., MAX( MIN(1.,2.*Cr), MIN(2.,Cr) ) ) |
---|
| 1199 | ! -- van albada 2 -- |
---|
| 1200 | !!zpsi = 2.*Cr / (Cr*Cr+1.) |
---|
| 1201 | |
---|
| 1202 | ! -- sweby (with beta=1) -- |
---|
| 1203 | !!zpsi = MAX( 0., MAX( MIN(1.,1.*Cr), MIN(1.,Cr) ) ) |
---|
| 1204 | ! -- van Leer -- |
---|
| 1205 | !!zpsi = ( Cr + ABS(Cr) ) / ( 1. + ABS(Cr) ) |
---|
| 1206 | ! -- ospre -- |
---|
| 1207 | !!zpsi = 1.5 * ( Cr*Cr + Cr ) / ( Cr*Cr + Cr + 1. ) |
---|
| 1208 | ! -- koren -- |
---|
| 1209 | !!zpsi = MAX( 0., MIN( 2.*Cr, MIN( (1.+2*Cr)/3., 2. ) ) ) |
---|
| 1210 | ! -- charm -- |
---|
| 1211 | !IF( Cr > 0. ) THEN ; zpsi = Cr * (3.*Cr + 1.) / ( (Cr + 1.) * (Cr + 1.) ) |
---|
| 1212 | !ELSE ; zpsi = 0. |
---|
| 1213 | !ENDIF |
---|
| 1214 | ! -- van albada 1 -- |
---|
| 1215 | !!zpsi = (Cr*Cr + Cr) / (Cr*Cr +1) |
---|
| 1216 | ! -- smart -- |
---|
| 1217 | !!zpsi = MAX( 0., MIN( 2.*Cr, MIN( 0.25+0.75*Cr, 4. ) ) ) |
---|
| 1218 | ! -- umist -- |
---|
| 1219 | !!zpsi = MAX( 0., MIN( 2.*Cr, MIN( 0.25+0.75*Cr, MIN(0.75+0.25*Cr, 2. ) ) ) ) |
---|
| 1220 | |
---|
| 1221 | ! high order flux corrected by the limiter |
---|
| 1222 | pfv_ho(ji,jj) = pfv_ho(ji,jj) - ABS( pvc(ji,jj) ) * ( (1.-zpsi) + vCFL*zpsi ) * Rj * 0.5 |
---|
| 1223 | |
---|
| 1224 | ENDIF |
---|
| 1225 | END DO |
---|
| 1226 | END DO |
---|
| 1227 | CALL lbc_lnk( pfv_ho, 'V', -1.) ! lateral boundary cond. |
---|
| 1228 | ! |
---|
| 1229 | END SUBROUTINE limiter_y |
---|
| 1230 | |
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[8586] | 1231 | #else |
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| 1232 | !!---------------------------------------------------------------------- |
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[9570] | 1233 | !! Default option Dummy module NO SI3 sea-ice model |
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[8586] | 1234 | !!---------------------------------------------------------------------- |
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| 1235 | #endif |
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| 1236 | |
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| 1237 | !!====================================================================== |
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| 1238 | END MODULE icedyn_adv_umx |
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