[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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[10399] | 37 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: z1_ai, amaxu, amaxv |
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[10315] | 38 | |
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[10399] | 39 | LOGICAL ll_dens |
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[10331] | 40 | |
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[10399] | 41 | ! advect H all the way (and get V=H*A at the end) |
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| 42 | LOGICAL :: ll_thickness = .FALSE. |
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| 43 | |
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| 44 | ! look for 9 points around in nonosc limiter |
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| 45 | LOGICAL :: ll_9points = .FALSE. ! false=better h? |
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| 46 | |
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| 47 | ! use HgradU in nonosc limiter |
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| 48 | LOGICAL :: ll_HgradU = .TRUE. ! no effect? |
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| 49 | |
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| 50 | ! if T interpolated at u/v points is negative, then interpolate T at u/v points using the upstream scheme |
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| 51 | LOGICAL :: ll_neg = .TRUE. ! keep TRUE |
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| 52 | |
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| 53 | ! limit the fluxes |
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| 54 | LOGICAL :: ll_zeroup1 = .FALSE. ! false ok if Hbig otherwise needed for 2D sinon on a des valeurs de H trop fortes !! |
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| 55 | LOGICAL :: ll_zeroup2 = .FALSE. ! false ok for 1D, 2D, 3D |
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| 56 | LOGICAL :: ll_zeroup4 = .FALSE. ! false ok for 1D, 2D, 3D |
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| 57 | LOGICAL :: ll_zeroup5 = .FALSE. ! false ok for 1D, 2D |
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| 58 | |
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| 59 | ! fluxes that are limited are u*H, then (u*H)*(ua/u) is used for V (only for nonosc) |
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| 60 | LOGICAL :: ll_clem = .TRUE. ! simpler than rachid and works |
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| 61 | |
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| 62 | ! First advect H as H*=Hdiv(u), then use H* for H(n+1)=H(n)-div(uH*) |
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| 63 | LOGICAL :: ll_gurvan = .FALSE. ! must be false for 1D case !! |
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| 64 | |
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| 65 | ! First guess as div(uH) (-true-) or Hdiv(u)+ugradH (-false-) |
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| 66 | LOGICAL :: ll_1stguess_clem = .FALSE. ! better negative values but less good h |
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| 67 | |
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| 68 | ! advect (or not) open water. If not, retrieve it from advection of A |
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| 69 | LOGICAL :: ll_ADVopw = .FALSE. ! |
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| 70 | |
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[10315] | 71 | ! alternate directions for upstream |
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| 72 | LOGICAL :: ll_upsxy = .TRUE. |
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[10399] | 73 | |
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| 74 | ! alternate directions for high order |
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| 75 | LOGICAL :: ll_hoxy = .TRUE. |
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[10315] | 76 | |
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[10399] | 77 | ! prelimiter: use it to avoid overshoot in H |
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| 78 | LOGICAL :: ll_prelimiter_zalesak = .TRUE. ! from: Zalesak(1979) eq. 14 => true is better for 1D but false is better in 3D (for h and negative values) => pb in x-y? |
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| 79 | LOGICAL :: ll_prelimiter_devore = .FALSE. ! from: Devore eq. 11 (worth than zalesak) |
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[10315] | 80 | |
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| 81 | ! iterate on the limiter (only nonosc) |
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| 82 | LOGICAL :: ll_limiter_it2 = .FALSE. |
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| 83 | |
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| 84 | |
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[8586] | 85 | !! * Substitutions |
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| 86 | # include "vectopt_loop_substitute.h90" |
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| 87 | !!---------------------------------------------------------------------- |
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[9598] | 88 | !! NEMO/ICE 4.0 , NEMO Consortium (2018) |
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[8586] | 89 | !! $Id: icedyn_adv_umx.F90 4499 2014-02-18 15:14:31Z timgraham $ |
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[9598] | 90 | !! Software governed by the CeCILL licence (./LICENSE) |
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[8586] | 91 | !!---------------------------------------------------------------------- |
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| 92 | CONTAINS |
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| 93 | |
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[10267] | 94 | SUBROUTINE ice_dyn_adv_umx( kn_umx, kt, pu_ice, pv_ice, & |
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| 95 | & 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] | 96 | !!---------------------------------------------------------------------- |
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| 97 | !! *** ROUTINE ice_dyn_adv_umx *** |
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| 98 | !! |
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| 99 | !! ** Purpose : Compute the now trend due to total advection of |
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| 100 | !! tracers and add it to the general trend of tracer equations |
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| 101 | !! using an "Ultimate-Macho" scheme |
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| 102 | !! |
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| 103 | !! Reference : Leonard, B.P., 1991, Comput. Methods Appl. Mech. Eng., 88, 17-74. |
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| 104 | !!---------------------------------------------------------------------- |
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[10267] | 105 | INTEGER , INTENT(in ) :: kn_umx ! order of the scheme (1-5=UM or 20=CEN2) |
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[8586] | 106 | INTEGER , INTENT(in ) :: kt ! time step |
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| 107 | REAL(wp), DIMENSION(:,:) , INTENT(in ) :: pu_ice ! ice i-velocity |
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| 108 | REAL(wp), DIMENSION(:,:) , INTENT(in ) :: pv_ice ! ice j-velocity |
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| 109 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pato_i ! open water area |
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| 110 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_i ! ice volume |
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| 111 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_s ! snw volume |
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| 112 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: psv_i ! salt content |
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| 113 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: poa_i ! age content |
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| 114 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pa_i ! ice concentration |
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| 115 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pa_ip ! melt pond fraction |
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| 116 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_ip ! melt pond volume |
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| 117 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_s ! snw heat content |
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| 118 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_i ! ice heat content |
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| 119 | ! |
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| 120 | INTEGER :: ji, jj, jk, jl, jt ! dummy loop indices |
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[10267] | 121 | INTEGER :: icycle ! number of sub-timestep for the advection |
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| 122 | REAL(wp) :: zamsk ! 1 if advection of concentration, 0 if advection of other tracers |
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| 123 | REAL(wp) :: zcfl , zdt |
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[10399] | 124 | REAL(wp), DIMENSION(jpi,jpj) :: zudy, zvdx, zcu_box, zcv_box, zua_ho, zva_ho |
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| 125 | REAL(wp), DIMENSION(jpi,jpj) :: zhvar |
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| 126 | REAL(wp), DIMENSION(jpi,jpj) :: zai_b, zai_a, z1_ai_b |
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[8586] | 127 | !!---------------------------------------------------------------------- |
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| 128 | ! |
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| 129 | IF( kt == nit000 .AND. lwp ) WRITE(numout,*) '-- ice_dyn_adv_umx: Ultimate-Macho advection scheme' |
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| 130 | ! |
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[10399] | 131 | ! |
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[8586] | 132 | ! --- If ice drift field is too fast, use an appropriate time step for advection (CFL test for stability) --- ! |
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| 133 | zcfl = MAXVAL( ABS( pu_ice(:,:) ) * rdt_ice * r1_e1u(:,:) ) |
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| 134 | zcfl = MAX( zcfl, MAXVAL( ABS( pv_ice(:,:) ) * rdt_ice * r1_e2v(:,:) ) ) |
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| 135 | IF( lk_mpp ) CALL mpp_max( zcfl ) |
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| 136 | |
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[10267] | 137 | IF( zcfl > 0.5 ) THEN ; icycle = 2 |
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| 138 | ELSE ; icycle = 1 |
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[8586] | 139 | ENDIF |
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| 140 | |
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[10267] | 141 | zdt = rdt_ice / REAL(icycle) |
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[8586] | 142 | |
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| 143 | ! --- transport --- ! |
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| 144 | zudy(:,:) = pu_ice(:,:) * e2u(:,:) |
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| 145 | zvdx(:,:) = pv_ice(:,:) * e1v(:,:) |
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| 146 | |
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| 147 | ! --- define velocity for advection: u*grad(H) --- ! |
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| 148 | DO jj = 2, jpjm1 |
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| 149 | DO ji = fs_2, fs_jpim1 |
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| 150 | IF ( pu_ice(ji,jj) * pu_ice(ji-1,jj) <= 0._wp ) THEN ; zcu_box(ji,jj) = 0._wp |
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| 151 | ELSEIF( pu_ice(ji,jj) > 0._wp ) THEN ; zcu_box(ji,jj) = pu_ice(ji-1,jj) |
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| 152 | ELSE ; zcu_box(ji,jj) = pu_ice(ji ,jj) |
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| 153 | ENDIF |
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| 154 | |
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| 155 | IF ( pv_ice(ji,jj) * pv_ice(ji,jj-1) <= 0._wp ) THEN ; zcv_box(ji,jj) = 0._wp |
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| 156 | ELSEIF( pv_ice(ji,jj) > 0._wp ) THEN ; zcv_box(ji,jj) = pv_ice(ji,jj-1) |
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| 157 | ELSE ; zcv_box(ji,jj) = pv_ice(ji,jj ) |
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| 158 | ENDIF |
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| 159 | END DO |
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| 160 | END DO |
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| 161 | |
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[10399] | 162 | IF(.NOT. ALLOCATED(z1_ai)) ALLOCATE(z1_ai(jpi,jpj)) |
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| 163 | IF(.NOT. ALLOCATED(amaxu)) ALLOCATE(amaxu (jpi,jpj)) |
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| 164 | IF(.NOT. ALLOCATED(amaxv)) ALLOCATE(amaxv (jpi,jpj)) |
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| 165 | |
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[8586] | 166 | !---------------! |
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| 167 | !== advection ==! |
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| 168 | !---------------! |
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[10267] | 169 | DO jt = 1, icycle |
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| 170 | |
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[10399] | 171 | IF( ll_ADVopw ) THEN |
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| 172 | ll_dens=.FALSE. |
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| 173 | zamsk = 1._wp |
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| 174 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy, zvdx, zudy, zvdx, zcu_box, zcv_box, pato_i(:,:), pato_i(:,:) ) ! Open water area |
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| 175 | ELSE |
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| 176 | zai_b(:,:) = SUM( pa_i(:,:,:), dim=3 ) |
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| 177 | ENDIF |
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| 178 | |
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[8586] | 179 | DO jl = 1, jpl |
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[10267] | 180 | ! |
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[10399] | 181 | WHERE( pa_i(:,:,jl) >= epsi20 ) ; z1_ai_b(:,:) = 1._wp / pa_i(:,:,jl) |
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| 182 | ELSEWHERE ; z1_ai_b(:,:) = 0. |
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[10267] | 183 | END WHERE |
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| 184 | ! |
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[10399] | 185 | IF( ll_zeroup2 ) THEN |
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| 186 | DO jj = 2, jpjm1 |
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| 187 | DO ji = fs_2, fs_jpim1 |
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| 188 | amaxu(ji,jj)=MAX( pa_i(ji,jj,jl), pa_i(ji,jj-1,jl), pa_i(ji,jj+1,jl), & |
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| 189 | & pa_i(ji+1,jj,jl), pa_i(ji+1,jj-1,jl), pa_i(ji+1,jj+1,jl) ) |
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| 190 | amaxv(ji,jj)=MAX( pa_i(ji,jj,jl), pa_i(ji-1,jj,jl), pa_i(ji+1,jj,jl), & |
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| 191 | & pa_i(ji,jj+1,jl), pa_i(ji-1,jj+1,jl), pa_i(ji+1,jj+1,jl) ) |
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| 192 | END DO |
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| 193 | END DO |
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| 194 | CALL lbc_lnk_multi(amaxu, 'T', 1., amaxv, 'T', 1.) |
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| 195 | ENDIF |
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| 196 | ! |
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| 197 | zamsk = 1._wp |
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| 198 | ll_dens=.TRUE. |
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| 199 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy, zvdx, zudy, zvdx, zcu_box, zcv_box, pa_i(:,:,jl), pa_i(:,:,jl), zua_ho, zva_ho ) ! Ice area |
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| 200 | ll_dens=.FALSE. |
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[10315] | 201 | |
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[10399] | 202 | WHERE( pa_i(:,:,jl) >= epsi20 ) ; z1_ai(:,:) = 1._wp / pa_i(:,:,jl) |
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| 203 | ELSEWHERE ; z1_ai(:,:) = 0. |
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| 204 | END WHERE |
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| 205 | |
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| 206 | IF( ll_thickness ) THEN |
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| 207 | zua_ho(:,:) = zudy(:,:) |
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| 208 | zva_ho(:,:) = zvdx(:,:) |
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| 209 | ENDIF |
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| 210 | |
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| 211 | zamsk = 0._wp ; zhvar(:,:) = pv_i (:,:,jl) * z1_ai_b(:,:) |
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| 212 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy, zvdx, zua_ho , zva_ho , zcu_box, zcv_box, zhvar(:,:), pv_i (:,:,jl) ) ! Ice volume |
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| 213 | IF( ll_thickness ) pv_i(:,:,jl) = zhvar(:,:) * pa_i(:,:,jl) |
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| 214 | |
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| 215 | zamsk = 0._wp ; zhvar(:,:) = pv_s (:,:,jl) * z1_ai_b(:,:) |
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| 216 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy, zvdx, zua_ho , zva_ho , zcu_box, zcv_box, zhvar(:,:), pv_s (:,:,jl) ) ! Snw volume |
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| 217 | IF( ll_thickness ) pv_s(:,:,jl) = zhvar(:,:) * pa_i(:,:,jl) |
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| 218 | |
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| 219 | zamsk = 0._wp ; zhvar(:,:) = psv_i(:,:,jl) * z1_ai_b(:,:) |
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| 220 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy, zvdx, zua_ho , zva_ho , zcu_box, zcv_box, zhvar(:,:), psv_i(:,:,jl) ) ! Salt content |
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| 221 | |
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| 222 | zamsk = 0._wp ; zhvar(:,:) = poa_i(:,:,jl) * z1_ai_b(:,:) |
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| 223 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy, zvdx, zua_ho , zva_ho , zcu_box, zcv_box, zhvar(:,:), poa_i(:,:,jl) ) ! Age content |
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| 224 | |
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[8586] | 225 | DO jk = 1, nlay_i |
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[10399] | 226 | zamsk = 0._wp ; zhvar(:,:) = pe_i(:,:,jk,jl) * z1_ai_b(:,:) |
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| 227 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy, zvdx, zua_ho, zva_ho, zcu_box, zcv_box, zhvar(:,:), pe_i(:,:,jk,jl) ) ! Ice heat content |
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[8586] | 228 | END DO |
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[10399] | 229 | |
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[9271] | 230 | DO jk = 1, nlay_s |
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[10399] | 231 | zamsk = 0._wp ; zhvar(:,:) = pe_s(:,:,jk,jl) * z1_ai_b(:,:) |
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| 232 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy, zvdx, zua_ho, zva_ho, zcu_box, zcv_box, zhvar(:,:), pe_s(:,:,jk,jl) ) ! Snw heat content |
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[9271] | 233 | END DO |
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[10267] | 234 | ! |
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[10399] | 235 | IF ( ln_pnd_H12 ) THEN ! melt ponds (must be the last ones to be advected because of z1_ai_b...) |
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[10267] | 236 | ! |
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[10399] | 237 | WHERE( pa_ip(:,:,jl) >= epsi20 ) ; z1_ai_b(:,:) = 1._wp / pa_ip(:,:,jl) |
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| 238 | ELSEWHERE ; z1_ai_b(:,:) = 0. |
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[10267] | 239 | END WHERE |
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| 240 | ! |
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[10399] | 241 | zamsk = 1._wp |
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| 242 | ll_dens=.TRUE. |
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| 243 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy, zvdx, zudy, zvdx, zcu_box, zcv_box, pa_ip(:,:,jl), pa_ip(:,:,jl), zua_ho, zva_ho ) ! mp fractio!n |
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| 244 | ll_dens=.FALSE. |
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[10315] | 245 | |
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[10399] | 246 | WHERE( pa_ip(:,:,jl) >= epsi20 ) ; z1_ai(:,:) = 1._wp / pa_ip(:,:,jl) |
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| 247 | ELSEWHERE ; z1_ai(:,:) = 0. |
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| 248 | END WHERE |
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[10315] | 249 | |
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[10399] | 250 | zamsk = 0._wp ; zhvar(:,:) = pv_ip(:,:,jl) * z1_ai_b(:,:) |
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| 251 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy, zvdx, zua_ho , zva_ho , zcu_box, zcv_box, zhvar(:,:), pv_ip(:,:,jl) ) ! mp volume |
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[8586] | 252 | ENDIF |
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[10267] | 253 | ! |
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[10399] | 254 | ! |
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| 255 | END DO |
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| 256 | |
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| 257 | IF( .NOT. ll_ADVopw ) THEN |
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| 258 | zai_a(:,:) = SUM( pa_i(:,:,:), dim=3 ) |
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[10267] | 259 | DO jj = 2, jpjm1 |
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| 260 | DO ji = fs_2, fs_jpim1 |
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[10399] | 261 | pato_i(ji,jj) = pato_i(ji,jj) - ( zai_a(ji,jj) - zai_b(ji,jj) ) & |
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| 262 | & - ( zudy(ji,jj) - zudy(ji-1,jj) + zvdx(ji,jj) - zvdx(ji,jj-1) ) * r1_e1e2t(ji,jj) * zdt |
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| 263 | END DO |
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[10267] | 264 | END DO |
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[10399] | 265 | CALL lbc_lnk( pato_i(:,:), 'T', 1. ) |
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| 266 | ENDIF |
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| 267 | |
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[8586] | 268 | END DO |
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| 269 | ! |
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| 270 | END SUBROUTINE ice_dyn_adv_umx |
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[9929] | 271 | |
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[8586] | 272 | |
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[10399] | 273 | SUBROUTINE adv_umx( pamsk, kn_umx, jt, kt, pdt, pu, pv, puc, pvc, pubox, pvbox, pt, ptc, pua_ho, pva_ho ) |
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[8586] | 274 | !!---------------------------------------------------------------------- |
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| 275 | !! *** ROUTINE adv_umx *** |
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| 276 | !! |
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| 277 | !! ** Purpose : Compute the now trend due to total advection of |
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| 278 | !! tracers and add it to the general trend of tracer equations |
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| 279 | !! |
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| 280 | !! ** Method : TVD scheme, i.e. 2nd order centered scheme with |
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| 281 | !! corrected flux (monotonic correction) |
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| 282 | !! note: - this advection scheme needs a leap-frog time scheme |
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| 283 | !! |
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| 284 | !! ** Action : - pt the after advective tracer |
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| 285 | !!---------------------------------------------------------------------- |
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[10267] | 286 | REAL(wp) , INTENT(in ) :: pamsk ! advection of concentration (1) or other tracers (0) |
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| 287 | INTEGER , INTENT(in ) :: kn_umx ! order of the scheme (1-5=UM or 20=CEN2) |
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| 288 | INTEGER , INTENT(in ) :: jt ! number of sub-iteration |
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| 289 | INTEGER , INTENT(in ) :: kt ! number of iteration |
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| 290 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
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| 291 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pu , pv ! 2 ice velocity components => u*e2 |
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| 292 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: puc , pvc ! 2 ice velocity components => u*e2 or u*a*e2u |
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| 293 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pubox, pvbox ! upstream velocity |
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[10399] | 294 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: pt ! tracer field |
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[10267] | 295 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: ptc ! tracer content field |
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[10315] | 296 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out), OPTIONAL :: pua_ho, pva_ho ! high order u*a fluxes |
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[8586] | 297 | ! |
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| 298 | INTEGER :: ji, jj ! dummy loop indices |
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| 299 | REAL(wp) :: ztra ! local scalar |
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[10267] | 300 | INTEGER :: kn_limiter = 1 ! 1=nonosc ; 2=superbee ; 3=h3(rachid) |
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| 301 | REAL(wp), DIMENSION(jpi,jpj) :: zfu_ho , zfv_ho , zt_u, zt_v, zpt |
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| 302 | REAL(wp), DIMENSION(jpi,jpj) :: zfu_ups, zfv_ups, zt_ups ! only for nonosc |
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[8586] | 303 | !!---------------------------------------------------------------------- |
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| 304 | ! |
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[10267] | 305 | ! upstream (_ups) advection with initial mass fluxes |
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| 306 | ! --------------------------------------------------- |
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[10399] | 307 | IF( ll_clem ) zfu_ups=0.; zfv_ups=0. |
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| 308 | |
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| 309 | IF( ll_gurvan .AND. pamsk==0. ) THEN |
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| 310 | DO jj = 2, jpjm1 |
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| 311 | DO ji = fs_2, fs_jpim1 |
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| 312 | pt(ji,jj) = ( pt (ji,jj) + pt(ji,jj) * pdt * ( pu(ji,jj) - pu(ji-1,jj) ) * r1_e1e2t(ji,jj) & |
---|
| 313 | & + pt(ji,jj) * pdt * ( pv(ji,jj) - pv(ji,jj-1) ) * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
| 314 | END DO |
---|
| 315 | END DO |
---|
| 316 | CALL lbc_lnk( pt, 'T', 1. ) |
---|
| 317 | ENDIF |
---|
| 318 | |
---|
| 319 | |
---|
[10315] | 320 | IF( .NOT. ll_upsxy ) THEN |
---|
| 321 | |
---|
| 322 | ! fluxes |
---|
| 323 | DO jj = 1, jpjm1 |
---|
| 324 | DO ji = 1, fs_jpim1 |
---|
[10399] | 325 | IF( ll_clem ) THEN |
---|
| 326 | zfu_ups(ji,jj) = MAX( pu(ji,jj), 0._wp ) * pt(ji,jj) + MIN( pu(ji,jj), 0._wp ) * pt(ji+1,jj) |
---|
| 327 | zfv_ups(ji,jj) = MAX( pv(ji,jj), 0._wp ) * pt(ji,jj) + MIN( pv(ji,jj), 0._wp ) * pt(ji,jj+1) |
---|
| 328 | ELSE |
---|
| 329 | zfu_ups(ji,jj) = MAX( puc(ji,jj), 0._wp ) * pt(ji,jj) + MIN( puc(ji,jj), 0._wp ) * pt(ji+1,jj) |
---|
| 330 | zfv_ups(ji,jj) = MAX( pvc(ji,jj), 0._wp ) * pt(ji,jj) + MIN( pvc(ji,jj), 0._wp ) * pt(ji,jj+1) |
---|
| 331 | ENDIF |
---|
[10315] | 332 | END DO |
---|
[8586] | 333 | END DO |
---|
[10315] | 334 | |
---|
| 335 | ELSE |
---|
| 336 | ! 1 if advection of A |
---|
[10399] | 337 | ! z1_ai already defined IF advection of other tracers |
---|
| 338 | IF( pamsk == 1. ) z1_ai(:,:) = 1._wp |
---|
[10315] | 339 | ! |
---|
| 340 | IF( MOD( (kt - 1) / nn_fsbc , 2 ) == MOD( (jt - 1) , 2 ) ) THEN !== odd ice time step: adv_x then adv_y ==! |
---|
| 341 | ! flux in x-direction |
---|
| 342 | DO jj = 1, jpjm1 |
---|
| 343 | DO ji = 1, fs_jpim1 |
---|
[10399] | 344 | IF( ll_clem ) THEN |
---|
| 345 | zfu_ups(ji,jj) = MAX( pu(ji,jj), 0._wp ) * pt(ji,jj) + MIN( pu(ji,jj), 0._wp ) * pt(ji+1,jj) |
---|
| 346 | ELSE |
---|
| 347 | zfu_ups(ji,jj) = MAX( puc(ji,jj), 0._wp ) * pt(ji,jj) + MIN( puc(ji,jj), 0._wp ) * pt(ji+1,jj) |
---|
| 348 | ENDIF |
---|
[10315] | 349 | END DO |
---|
| 350 | END DO |
---|
[10399] | 351 | |
---|
[10315] | 352 | ! first guess of tracer content from u-flux |
---|
| 353 | DO jj = 2, jpjm1 |
---|
| 354 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[10399] | 355 | IF( ll_clem ) THEN |
---|
| 356 | IF( ll_gurvan ) THEN |
---|
| 357 | zpt(ji,jj) = ( pt(ji,jj) - ( zfu_ups(ji,jj) - zfu_ups(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
| 358 | ELSE |
---|
| 359 | zpt(ji,jj) = ( pt(ji,jj) - ( zfu_ups(ji,jj) - zfu_ups(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 360 | & + pt(ji,jj) * pdt * ( pu(ji,jj) - pu(ji-1,jj) ) * r1_e1e2t(ji,jj) * (1.-pamsk) ) & |
---|
| 361 | & * tmask(ji,jj,1) |
---|
| 362 | ENDIF |
---|
| 363 | ELSE |
---|
| 364 | zpt(ji,jj) = ( ptc(ji,jj) - ( zfu_ups(ji,jj) - zfu_ups(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) ) & |
---|
| 365 | & * tmask(ji,jj,1) |
---|
| 366 | ENDIF |
---|
| 367 | IF( ji==26 .AND. jj==86) THEN |
---|
| 368 | WRITE(numout,*) '************************' |
---|
| 369 | WRITE(numout,*) 'zpt upstream',zpt(ji,jj) |
---|
| 370 | ENDIF |
---|
[10315] | 371 | END DO |
---|
| 372 | END DO |
---|
| 373 | CALL lbc_lnk( zpt, 'T', 1. ) |
---|
| 374 | ! |
---|
| 375 | ! flux in y-direction |
---|
| 376 | DO jj = 1, jpjm1 |
---|
| 377 | DO ji = 1, fs_jpim1 |
---|
[10399] | 378 | IF( ll_clem ) THEN |
---|
| 379 | zfv_ups(ji,jj) = MAX( pv(ji,jj), 0._wp ) * zpt(ji,jj) + MIN( pv(ji,jj), 0._wp ) * zpt(ji,jj+1) |
---|
| 380 | ELSE |
---|
| 381 | zfv_ups(ji,jj) = MAX( pvc(ji,jj), 0._wp ) * zpt(ji,jj) + MIN( pvc(ji,jj), 0._wp ) * zpt(ji,jj+1) |
---|
| 382 | ENDIF |
---|
[10315] | 383 | END DO |
---|
| 384 | END DO |
---|
[10399] | 385 | |
---|
| 386 | ! |
---|
[10315] | 387 | ELSE !== even ice time step: adv_y then adv_x ==! |
---|
| 388 | ! flux in y-direction |
---|
| 389 | DO jj = 1, jpjm1 |
---|
| 390 | DO ji = 1, fs_jpim1 |
---|
[10399] | 391 | IF( ll_clem ) THEN |
---|
| 392 | zfv_ups(ji,jj) = MAX( pv(ji,jj), 0._wp ) * pt(ji,jj) + MIN( pv(ji,jj), 0._wp ) * pt(ji,jj+1) |
---|
| 393 | ELSE |
---|
| 394 | zfv_ups(ji,jj) = MAX( pvc(ji,jj), 0._wp ) * pt(ji,jj) + MIN( pvc(ji,jj), 0._wp ) * pt(ji,jj+1) |
---|
| 395 | ENDIF |
---|
[10315] | 396 | END DO |
---|
| 397 | END DO |
---|
[10399] | 398 | |
---|
[10315] | 399 | ! first guess of tracer content from v-flux |
---|
| 400 | DO jj = 2, jpjm1 |
---|
| 401 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[10399] | 402 | IF( ll_clem ) THEN |
---|
| 403 | IF( ll_gurvan ) THEN |
---|
| 404 | zpt(ji,jj) = ( pt(ji,jj) - ( zfv_ups(ji,jj) - zfv_ups(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
| 405 | ELSE |
---|
| 406 | zpt(ji,jj) = ( pt(ji,jj) - ( zfv_ups(ji,jj) - zfv_ups(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 407 | & + pt(ji,jj) * pdt * ( pv(ji,jj) - pv(ji,jj-1) ) * r1_e1e2t(ji,jj) * (1.-pamsk) ) & |
---|
| 408 | & * tmask(ji,jj,1) |
---|
| 409 | ENDIF |
---|
| 410 | ELSE |
---|
| 411 | zpt(ji,jj) = ( ptc(ji,jj) - ( zfv_ups(ji,jj) - zfv_ups(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) ) & |
---|
| 412 | & * tmask(ji,jj,1) |
---|
| 413 | ENDIF |
---|
| 414 | IF( ji==26 .AND. jj==86) THEN |
---|
| 415 | WRITE(numout,*) '************************' |
---|
| 416 | WRITE(numout,*) 'zpt upstream',zpt(ji,jj) |
---|
| 417 | ENDIF |
---|
| 418 | END DO |
---|
[10315] | 419 | END DO |
---|
| 420 | CALL lbc_lnk( zpt, 'T', 1. ) |
---|
| 421 | ! |
---|
| 422 | ! flux in x-direction |
---|
| 423 | DO jj = 1, jpjm1 |
---|
| 424 | DO ji = 1, fs_jpim1 |
---|
[10399] | 425 | IF( ll_clem ) THEN |
---|
| 426 | zfu_ups(ji,jj) = MAX( pu(ji,jj), 0._wp ) * zpt(ji,jj) + MIN( pu(ji,jj), 0._wp ) * zpt(ji+1,jj) |
---|
| 427 | ELSE |
---|
| 428 | zfu_ups(ji,jj) = MAX( puc(ji,jj), 0._wp ) * zpt(ji,jj) + MIN( puc(ji,jj), 0._wp ) * zpt(ji+1,jj) |
---|
| 429 | ENDIF |
---|
[10315] | 430 | END DO |
---|
| 431 | END DO |
---|
| 432 | ! |
---|
| 433 | ENDIF |
---|
| 434 | |
---|
| 435 | ENDIF |
---|
[10331] | 436 | |
---|
[10399] | 437 | IF( ll_clem .AND. kn_limiter /= 1 ) & |
---|
| 438 | & CALL ctl_stop( 'STOP', 'icedyn_adv_umx: ll_clem incompatible with limiters other than nonosc' ) |
---|
[10331] | 439 | |
---|
[10399] | 440 | IF( ll_zeroup2 ) THEN |
---|
| 441 | DO jj = 1, jpjm1 |
---|
| 442 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 443 | IF( amaxu(ji,jj) == 0._wp ) zfu_ups(ji,jj) = 0._wp |
---|
| 444 | IF( amaxv(ji,jj) == 0._wp ) zfv_ups(ji,jj) = 0._wp |
---|
| 445 | END DO |
---|
| 446 | END DO |
---|
[10331] | 447 | ENDIF |
---|
| 448 | |
---|
[10267] | 449 | ! guess after content field with upstream scheme |
---|
| 450 | DO jj = 2, jpjm1 |
---|
| 451 | DO ji = fs_2, fs_jpim1 |
---|
| 452 | ztra = - ( zfu_ups(ji,jj) - zfu_ups(ji-1,jj ) & |
---|
| 453 | & + zfv_ups(ji,jj) - zfv_ups(ji ,jj-1) ) * r1_e1e2t(ji,jj) |
---|
[10399] | 454 | IF( ll_clem ) THEN |
---|
| 455 | IF( ll_gurvan ) THEN |
---|
| 456 | zt_ups(ji,jj) = ( pt (ji,jj) + pdt * ztra ) * tmask(ji,jj,1) |
---|
| 457 | ELSE |
---|
| 458 | zt_ups(ji,jj) = ( pt (ji,jj) + pdt * ztra + pt(ji,jj) * pdt * ( pu(ji,jj) - pu(ji-1,jj) ) * r1_e1e2t(ji,jj) * (1.-pamsk) & |
---|
| 459 | & + pt(ji,jj) * pdt * ( pv(ji,jj) - pv(ji,jj-1) ) * r1_e1e2t(ji,jj) * (1.-pamsk) ) * tmask(ji,jj,1) |
---|
| 460 | ENDIF |
---|
[10331] | 461 | ELSE |
---|
| 462 | zt_ups(ji,jj) = ( ptc(ji,jj) + pdt * ztra ) * tmask(ji,jj,1) |
---|
| 463 | ENDIF |
---|
[10399] | 464 | IF( ji==26 .AND. jj==86) THEN |
---|
| 465 | WRITE(numout,*) '**************************' |
---|
| 466 | WRITE(numout,*) 'zt upstream',zt_ups(ji,jj) |
---|
| 467 | ENDIF |
---|
[10267] | 468 | END DO |
---|
| 469 | END DO |
---|
| 470 | CALL lbc_lnk( zt_ups, 'T', 1. ) |
---|
[10315] | 471 | |
---|
[8586] | 472 | ! High order (_ho) fluxes |
---|
| 473 | ! ----------------------- |
---|
[10267] | 474 | SELECT CASE( kn_umx ) |
---|
[8586] | 475 | ! |
---|
[10267] | 476 | CASE ( 20 ) !== centered second order ==! |
---|
[8586] | 477 | ! |
---|
[10331] | 478 | CALL cen2( pamsk, kn_limiter, jt, kt, pdt, pt, pu, pv, puc, pvc, ptc, zfu_ho, zfv_ho, & |
---|
[10267] | 479 | & zt_ups, zfu_ups, zfv_ups ) |
---|
[8586] | 480 | ! |
---|
[10267] | 481 | CASE ( 1:5 ) !== 1st to 5th order ULTIMATE-MACHO scheme ==! |
---|
| 482 | ! |
---|
[10315] | 483 | 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] | 484 | & zt_ups, zfu_ups, zfv_ups ) |
---|
| 485 | ! |
---|
[8586] | 486 | END SELECT |
---|
[10399] | 487 | |
---|
| 488 | IF( ll_thickness ) THEN |
---|
| 489 | ! final trend with corrected fluxes |
---|
| 490 | ! ------------------------------------ |
---|
| 491 | DO jj = 2, jpjm1 |
---|
| 492 | DO ji = fs_2, fs_jpim1 |
---|
| 493 | IF( ll_gurvan ) THEN |
---|
| 494 | ztra = - ( zfu_ho(ji,jj) - zfu_ho(ji-1,jj) + zfv_ho(ji,jj) - zfv_ho(ji,jj-1) ) * r1_e1e2t(ji,jj) |
---|
| 495 | ELSE |
---|
| 496 | ztra = ( - ( zfu_ho(ji,jj) - zfu_ho(ji-1,jj) + zfv_ho(ji,jj) - zfv_ho(ji,jj-1) ) & |
---|
| 497 | & + ( pt(ji,jj) * ( pu(ji,jj) - pu(ji-1,jj) ) * (1.-pamsk) ) & |
---|
| 498 | & + ( pt(ji,jj) * ( pv(ji,jj) - pv(ji,jj-1) ) * (1.-pamsk) ) ) * r1_e1e2t(ji,jj) |
---|
| 499 | ENDIF |
---|
| 500 | pt(ji,jj) = ( pt(ji,jj) + pdt * ztra ) * tmask(ji,jj,1) |
---|
| 501 | |
---|
| 502 | IF( pt(ji,jj) < -epsi20 ) THEN |
---|
| 503 | WRITE(numout,*) 'T<0 ',pt(ji,jj) |
---|
| 504 | ENDIF |
---|
| 505 | |
---|
| 506 | IF( pt(ji,jj) < 0._wp .AND. pt(ji,jj) >= -epsi20 ) pt(ji,jj) = 0._wp |
---|
| 507 | |
---|
| 508 | IF( ji==26 .AND. jj==86) THEN |
---|
| 509 | WRITE(numout,*) 'zt high order',pt(ji,jj) |
---|
| 510 | ENDIF |
---|
| 511 | END DO |
---|
| 512 | END DO |
---|
| 513 | CALL lbc_lnk( pt, 'T', 1. ) |
---|
| 514 | ENDIF |
---|
| 515 | |
---|
| 516 | ! Rachid trick |
---|
| 517 | ! ------------ |
---|
| 518 | IF( ll_clem ) THEN |
---|
| 519 | IF( pamsk == 0. ) THEN |
---|
| 520 | DO jj = 1, jpjm1 |
---|
| 521 | DO ji = 1, fs_jpim1 |
---|
| 522 | IF( ABS( puc(ji,jj) ) > 0._wp .AND. ABS( pu(ji,jj) ) > 0._wp ) THEN |
---|
| 523 | zfu_ho (ji,jj) = zfu_ho (ji,jj) * puc(ji,jj) / pu(ji,jj) |
---|
| 524 | zfu_ups(ji,jj) = zfu_ups(ji,jj) * puc(ji,jj) / pu(ji,jj) |
---|
| 525 | ELSE |
---|
| 526 | zfu_ho (ji,jj) = 0._wp |
---|
| 527 | zfu_ups(ji,jj) = 0._wp |
---|
| 528 | ENDIF |
---|
| 529 | ! |
---|
| 530 | IF( ABS( pvc(ji,jj) ) > 0._wp .AND. ABS( pv(ji,jj) ) > 0._wp ) THEN |
---|
| 531 | zfv_ho (ji,jj) = zfv_ho (ji,jj) * pvc(ji,jj) / pv(ji,jj) |
---|
| 532 | zfv_ups(ji,jj) = zfv_ups(ji,jj) * pvc(ji,jj) / pv(ji,jj) |
---|
| 533 | ELSE |
---|
| 534 | zfv_ho (ji,jj) = 0._wp |
---|
| 535 | zfv_ups(ji,jj) = 0._wp |
---|
| 536 | ENDIF |
---|
| 537 | ENDDO |
---|
| 538 | ENDDO |
---|
| 539 | ENDIF |
---|
| 540 | ENDIF |
---|
| 541 | |
---|
| 542 | IF( ll_zeroup5 ) THEN |
---|
| 543 | DO jj = 2, jpjm1 |
---|
| 544 | DO ji = 2, fs_jpim1 ! vector opt. |
---|
| 545 | zpt(ji,jj) = ( ptc(ji,jj) - ( zfu_ho(ji,jj) - zfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 546 | & - ( zfv_ho(ji,jj) - zfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
| 547 | IF( zpt(ji,jj) < 0. ) THEN |
---|
| 548 | zfu_ho(ji,jj) = zfu_ups(ji,jj) |
---|
| 549 | zfu_ho(ji-1,jj) = zfu_ups(ji-1,jj) |
---|
| 550 | zfv_ho(ji,jj) = zfv_ups(ji,jj) |
---|
| 551 | zfv_ho(ji,jj-1) = zfv_ups(ji,jj-1) |
---|
| 552 | ENDIF |
---|
| 553 | END DO |
---|
| 554 | END DO |
---|
| 555 | CALL lbc_lnk_multi( zfu_ho, 'U', -1., zfv_ho, 'V', -1. ) |
---|
| 556 | ENDIF |
---|
| 557 | |
---|
[10315] | 558 | ! output upstream trend of concentration and high order fluxes |
---|
| 559 | ! ------------------------------------------------------------ |
---|
[10399] | 560 | IF( ll_dens ) THEN |
---|
| 561 | ! high order u*a |
---|
[10267] | 562 | DO jj = 1, jpjm1 |
---|
| 563 | DO ji = 1, fs_jpim1 |
---|
[10315] | 564 | pua_ho (ji,jj) = zfu_ho (ji,jj) |
---|
| 565 | pva_ho (ji,jj) = zfv_ho (ji,jj) |
---|
[10267] | 566 | END DO |
---|
[8586] | 567 | END DO |
---|
[10315] | 568 | !!CALL lbc_lnk( pua_ho, 'U', -1. ) ! clem: not needed I think |
---|
| 569 | !!CALL lbc_lnk( pva_ho, 'V', -1. ) |
---|
[10267] | 570 | ENDIF |
---|
[10399] | 571 | |
---|
| 572 | |
---|
| 573 | IF( .NOT.ll_thickness ) THEN |
---|
| 574 | ! final trend with corrected fluxes |
---|
| 575 | ! ------------------------------------ |
---|
| 576 | DO jj = 2, jpjm1 |
---|
| 577 | DO ji = fs_2, fs_jpim1 |
---|
| 578 | ztra = - ( zfu_ho(ji,jj) - zfu_ho(ji-1,jj) + zfv_ho(ji,jj) - zfv_ho(ji,jj-1) ) & ! Div(uaH) or Div(ua) |
---|
| 579 | & * r1_e1e2t(ji,jj) * pdt |
---|
| 580 | |
---|
| 581 | !!IF( ptc(ji,jj)+ztra < 0._wp ) THEN |
---|
| 582 | !! ztra = - ( zfu_ups(ji,jj) - zfu_ups(ji-1,jj) + zfv_ups(ji,jj) - zfv_ups(ji,jj-1) ) & ! Div(uaH) or Div(ua) |
---|
| 583 | !! & * r1_e1e2t(ji,jj) * pdt |
---|
| 584 | !!ENDIF |
---|
| 585 | !!IF( ptc(ji,jj)+ztra < 0._wp ) THEN |
---|
| 586 | !! WRITE(numout,*) 'Tc<0 ',ptc(ji,jj)+ztra |
---|
| 587 | !! ztra = 0._wp |
---|
| 588 | !!ENDIF |
---|
| 589 | |
---|
| 590 | ptc(ji,jj) = ( ptc(ji,jj) + ztra ) * tmask(ji,jj,1) |
---|
| 591 | |
---|
| 592 | IF( ji==26 .AND. jj==86) THEN |
---|
| 593 | WRITE(numout,*) 'ztc high order',ptc(ji,jj) |
---|
| 594 | ENDIF |
---|
| 595 | |
---|
| 596 | END DO |
---|
| 597 | END DO |
---|
| 598 | CALL lbc_lnk( ptc, 'T', 1. ) |
---|
| 599 | ENDIF |
---|
[8586] | 600 | |
---|
| 601 | ! |
---|
| 602 | END SUBROUTINE adv_umx |
---|
| 603 | |
---|
[10331] | 604 | SUBROUTINE cen2( pamsk, kn_limiter, jt, kt, pdt, pt, pu, pv, puc, pvc, ptc, pfu_ho, pfv_ho, & |
---|
[10267] | 605 | & pt_ups, pfu_ups, pfv_ups ) |
---|
| 606 | !!--------------------------------------------------------------------- |
---|
| 607 | !! *** ROUTINE macho *** |
---|
| 608 | !! |
---|
| 609 | !! ** Purpose : compute |
---|
| 610 | !! |
---|
| 611 | !! ** Method : ... ??? |
---|
| 612 | !! TIM = transient interpolation Modeling |
---|
| 613 | !! |
---|
| 614 | !! Reference : Leonard, B.P., 1991, Comput. Methods Appl. Mech. Eng., 88, 17-74. |
---|
| 615 | !!---------------------------------------------------------------------- |
---|
[10331] | 616 | REAL(wp) , INTENT(in ) :: pamsk ! advection of concentration (1) or other tracers (0) |
---|
[10267] | 617 | INTEGER , INTENT(in ) :: kn_limiter ! limiter |
---|
| 618 | INTEGER , INTENT(in ) :: jt ! number of sub-iteration |
---|
| 619 | INTEGER , INTENT(in ) :: kt ! number of iteration |
---|
| 620 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
| 621 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pt ! tracer fields |
---|
| 622 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pu, pv ! 2 ice velocity components |
---|
| 623 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: puc, pvc ! 2 ice velocity * A components |
---|
| 624 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: ptc ! tracer content at before time step |
---|
| 625 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pfu_ho, pfv_ho ! high order fluxes |
---|
| 626 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pt_ups ! upstream guess of tracer content |
---|
[10331] | 627 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: pfu_ups, pfv_ups ! upstream fluxes |
---|
[10267] | 628 | ! |
---|
| 629 | INTEGER :: ji, jj ! dummy loop indices |
---|
| 630 | LOGICAL :: ll_xy = .TRUE. |
---|
| 631 | REAL(wp), DIMENSION(jpi,jpj) :: zzt |
---|
| 632 | !!---------------------------------------------------------------------- |
---|
| 633 | ! |
---|
| 634 | IF( .NOT.ll_xy ) THEN !-- no alternate directions --! |
---|
| 635 | ! |
---|
| 636 | DO jj = 1, jpjm1 |
---|
| 637 | DO ji = 1, fs_jpim1 |
---|
| 638 | pfu_ho(ji,jj) = 0.5 * puc(ji,jj) * ( pt(ji,jj) + pt(ji+1,jj) ) |
---|
| 639 | pfv_ho(ji,jj) = 0.5 * pvc(ji,jj) * ( pt(ji,jj) + pt(ji,jj+1) ) |
---|
| 640 | END DO |
---|
| 641 | END DO |
---|
| 642 | IF ( kn_limiter == 1 ) THEN |
---|
[10399] | 643 | IF( ll_clem ) THEN |
---|
| 644 | CALL nonosc_2d( pamsk, pdt, pu, puc, pv, pvc, ptc, pt, pt_ups, pfu_ups, pfv_ups, pfu_ho, pfv_ho ) |
---|
| 645 | ELSE |
---|
| 646 | CALL nonosc_2d( pamsk, pdt, pu, puc, pv, pvc, ptc, ptc, pt_ups, pfu_ups, pfv_ups, pfu_ho, pfv_ho ) |
---|
| 647 | ENDIF |
---|
[10267] | 648 | ELSEIF( kn_limiter == 2 ) THEN |
---|
| 649 | CALL limiter_x( pdt, pu, puc, pt, pfu_ho ) |
---|
| 650 | CALL limiter_y( pdt, pv, pvc, pt, pfv_ho ) |
---|
| 651 | ELSEIF( kn_limiter == 3 ) THEN |
---|
| 652 | CALL limiter_x( pdt, pu, puc, pt, pfu_ho, pfu_ups ) |
---|
| 653 | CALL limiter_y( pdt, pv, pvc, pt, pfv_ho, pfv_ups ) |
---|
| 654 | ENDIF |
---|
| 655 | ! |
---|
| 656 | ELSE !-- alternate directions --! |
---|
| 657 | ! |
---|
[10399] | 658 | IF( pamsk == 1. ) z1_ai(:,:) = 1._wp |
---|
| 659 | ! |
---|
[10267] | 660 | IF( MOD( (kt - 1) / nn_fsbc , 2 ) == MOD( (jt - 1) , 2 ) ) THEN !== odd ice time step: adv_x then adv_y ==! |
---|
| 661 | ! |
---|
| 662 | ! flux in x-direction |
---|
| 663 | DO jj = 1, jpjm1 |
---|
| 664 | DO ji = 1, fs_jpim1 |
---|
| 665 | pfu_ho(ji,jj) = 0.5 * puc(ji,jj) * ( pt(ji,jj) + pt(ji+1,jj) ) |
---|
| 666 | END DO |
---|
| 667 | END DO |
---|
| 668 | IF( kn_limiter == 2 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho ) |
---|
| 669 | IF( kn_limiter == 3 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho, pfu_ups ) |
---|
[8586] | 670 | |
---|
[10267] | 671 | ! first guess of tracer content from u-flux |
---|
| 672 | DO jj = 2, jpjm1 |
---|
| 673 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[10399] | 674 | IF( ll_clem ) THEN |
---|
| 675 | zzt(ji,jj) = ( pt(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) * z1_ai(ji,jj) ) * tmask(ji,jj,1) |
---|
| 676 | ELSE |
---|
| 677 | zzt(ji,jj) = ( ptc(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) * z1_ai(ji,jj) |
---|
| 678 | ENDIF |
---|
[10267] | 679 | END DO |
---|
| 680 | END DO |
---|
| 681 | CALL lbc_lnk( zzt, 'T', 1. ) |
---|
| 682 | |
---|
| 683 | ! flux in y-direction |
---|
| 684 | DO jj = 1, jpjm1 |
---|
| 685 | DO ji = 1, fs_jpim1 |
---|
[10399] | 686 | pfv_ho(ji,jj) = 0.5 * pvc(ji,jj) * ( zzt(ji,jj) + zzt(ji,jj+1) ) |
---|
[10267] | 687 | END DO |
---|
| 688 | END DO |
---|
| 689 | IF( kn_limiter == 2 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho ) |
---|
| 690 | IF( kn_limiter == 3 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho, pfv_ups ) |
---|
| 691 | |
---|
| 692 | ELSE !== even ice time step: adv_y then adv_x ==! |
---|
| 693 | ! |
---|
| 694 | ! flux in y-direction |
---|
| 695 | DO jj = 1, jpjm1 |
---|
| 696 | DO ji = 1, fs_jpim1 |
---|
| 697 | pfv_ho(ji,jj) = 0.5 * pvc(ji,jj) * ( pt(ji,jj) + pt(ji,jj+1) ) |
---|
| 698 | END DO |
---|
| 699 | END DO |
---|
| 700 | IF( kn_limiter == 2 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho ) |
---|
| 701 | IF( kn_limiter == 3 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho, pfv_ups ) |
---|
| 702 | ! |
---|
| 703 | ! first guess of tracer content from v-flux |
---|
| 704 | DO jj = 2, jpjm1 |
---|
| 705 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[10399] | 706 | IF( ll_clem ) THEN |
---|
| 707 | zzt(ji,jj) = ( pt(ji,jj) - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) * z1_ai(ji,jj) ) * tmask(ji,jj,1) |
---|
| 708 | ELSE |
---|
| 709 | zzt(ji,jj) = ( ptc(ji,jj) - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) * z1_ai(ji,jj) |
---|
| 710 | ENDIF |
---|
[10267] | 711 | END DO |
---|
| 712 | END DO |
---|
| 713 | CALL lbc_lnk( zzt, 'T', 1. ) |
---|
| 714 | ! |
---|
| 715 | ! flux in x-direction |
---|
| 716 | DO jj = 1, jpjm1 |
---|
| 717 | DO ji = 1, fs_jpim1 |
---|
[10399] | 718 | pfu_ho(ji,jj) = 0.5 * puc(ji,jj) * ( zzt(ji,jj) + zzt(ji+1,jj) ) |
---|
[10267] | 719 | END DO |
---|
| 720 | END DO |
---|
| 721 | IF( kn_limiter == 2 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho ) |
---|
| 722 | IF( kn_limiter == 3 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho, pfu_ups ) |
---|
| 723 | |
---|
| 724 | ENDIF |
---|
[10399] | 725 | IF( ll_clem ) THEN |
---|
| 726 | IF( kn_limiter == 1 ) CALL nonosc_2d( pamsk, pdt, pu, puc, pv, pvc, ptc, pt, pt_ups, pfu_ups, pfv_ups, pfu_ho, pfv_ho ) |
---|
| 727 | ELSE |
---|
| 728 | IF( kn_limiter == 1 ) CALL nonosc_2d( pamsk, pdt, pu, puc, pv, pvc, ptc, ptc, pt_ups, pfu_ups, pfv_ups, pfu_ho, pfv_ho ) |
---|
| 729 | ENDIF |
---|
[10267] | 730 | |
---|
| 731 | ENDIF |
---|
| 732 | |
---|
| 733 | END SUBROUTINE cen2 |
---|
| 734 | |
---|
| 735 | |
---|
| 736 | 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, & |
---|
| 737 | & pt_ups, pfu_ups, pfv_ups ) |
---|
[8586] | 738 | !!--------------------------------------------------------------------- |
---|
[10267] | 739 | !! *** ROUTINE macho *** |
---|
[8586] | 740 | !! |
---|
| 741 | !! ** Purpose : compute |
---|
| 742 | !! |
---|
| 743 | !! ** Method : ... ??? |
---|
| 744 | !! TIM = transient interpolation Modeling |
---|
| 745 | !! |
---|
| 746 | !! Reference : Leonard, B.P., 1991, Comput. Methods Appl. Mech. Eng., 88, 17-74. |
---|
| 747 | !!---------------------------------------------------------------------- |
---|
[10267] | 748 | REAL(wp) , INTENT(in ) :: pamsk ! advection of concentration (1) or other tracers (0) |
---|
| 749 | INTEGER , INTENT(in ) :: kn_limiter ! limiter |
---|
| 750 | INTEGER , INTENT(in ) :: kn_umx ! order of the scheme (1-5=UM or 20=CEN2) |
---|
| 751 | INTEGER , INTENT(in ) :: jt ! number of sub-iteration |
---|
| 752 | INTEGER , INTENT(in ) :: kt ! number of iteration |
---|
| 753 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
| 754 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pt ! tracer fields |
---|
| 755 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pu, pv ! 2 ice velocity components |
---|
| 756 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: puc, pvc ! 2 ice velocity * A components |
---|
| 757 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pubox, pvbox ! upstream velocity |
---|
| 758 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: ptc ! tracer content at before time step |
---|
| 759 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pt_u, pt_v ! tracer at u- and v-points |
---|
| 760 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pfu_ho, pfv_ho ! high order fluxes |
---|
| 761 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pt_ups ! upstream guess of tracer content |
---|
[10331] | 762 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: pfu_ups, pfv_ups ! upstream fluxes |
---|
[8586] | 763 | ! |
---|
| 764 | INTEGER :: ji, jj ! dummy loop indices |
---|
[10315] | 765 | REAL(wp) :: ztra |
---|
| 766 | REAL(wp), DIMENSION(jpi,jpj) :: zzt, zzfu_ho, zzfv_ho |
---|
[8586] | 767 | !!---------------------------------------------------------------------- |
---|
| 768 | ! |
---|
[10267] | 769 | IF( MOD( (kt - 1) / nn_fsbc , 2 ) == MOD( (jt - 1) , 2 ) ) THEN !== odd ice time step: adv_x then adv_y ==! |
---|
[8586] | 770 | ! |
---|
[10267] | 771 | ! !-- ultimate interpolation of pt at u-point --! |
---|
| 772 | CALL ultimate_x( kn_umx, pdt, pt, pu, puc, pt_u, pfu_ho ) |
---|
| 773 | ! !-- limiter in x --! |
---|
| 774 | IF( kn_limiter == 2 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho ) |
---|
| 775 | IF( kn_limiter == 3 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho, pfu_ups ) |
---|
| 776 | ! !-- advective form update in zzt --! |
---|
[10399] | 777 | |
---|
| 778 | IF( ll_1stguess_clem ) THEN |
---|
| 779 | |
---|
| 780 | ! first guess of tracer content from u-flux |
---|
| 781 | DO jj = 2, jpjm1 |
---|
| 782 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 783 | IF( ll_clem ) THEN |
---|
| 784 | IF( ll_gurvan ) THEN |
---|
| 785 | zzt(ji,jj) = ( pt(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
| 786 | ELSE |
---|
| 787 | zzt(ji,jj) = ( pt(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 788 | & + pt(ji,jj) * pdt * ( pu(ji,jj) - pu(ji-1,jj) ) * r1_e1e2t(ji,jj) * (1.-pamsk) ) * tmask(ji,jj,1) |
---|
| 789 | ENDIF |
---|
| 790 | ELSE |
---|
| 791 | zzt(ji,jj) = ( ptc(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
| 792 | ENDIF |
---|
| 793 | END DO |
---|
[8586] | 794 | END DO |
---|
[10399] | 795 | CALL lbc_lnk( zzt, 'T', 1. ) |
---|
| 796 | |
---|
| 797 | ELSE |
---|
| 798 | |
---|
| 799 | DO jj = 2, jpjm1 |
---|
| 800 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 801 | IF( ll_gurvan ) THEN |
---|
| 802 | zzt(ji,jj) = pt(ji,jj) - pubox(ji,jj) * pdt * ( pt_u(ji,jj) - pt_u(ji-1,jj) ) * r1_e1t(ji,jj) & |
---|
| 803 | & - pt (ji,jj) * pdt * ( pu (ji,jj) - pu (ji-1,jj) ) * r1_e1e2t(ji,jj) |
---|
| 804 | ELSE |
---|
| 805 | zzt(ji,jj) = pt(ji,jj) - pubox(ji,jj) * pdt * ( pt_u(ji,jj) - pt_u(ji-1,jj) ) * r1_e1t(ji,jj) & |
---|
| 806 | & - pt (ji,jj) * pdt * ( pu (ji,jj) - pu (ji-1,jj) ) * r1_e1e2t(ji,jj) * pamsk |
---|
| 807 | ENDIF |
---|
| 808 | zzt(ji,jj) = zzt(ji,jj) * tmask(ji,jj,1) |
---|
| 809 | END DO |
---|
| 810 | END DO |
---|
| 811 | CALL lbc_lnk( zzt, 'T', 1. ) |
---|
| 812 | ENDIF |
---|
| 813 | ! |
---|
[10267] | 814 | ! !-- ultimate interpolation of pt at v-point --! |
---|
[10399] | 815 | IF( ll_hoxy ) THEN |
---|
| 816 | CALL ultimate_y( kn_umx, pdt, zzt, pv, pvc, pt_v, pfv_ho ) |
---|
| 817 | ELSE |
---|
| 818 | CALL ultimate_y( kn_umx, pdt, pt, pv, pvc, pt_v, pfv_ho ) |
---|
| 819 | ENDIF |
---|
[10267] | 820 | ! !-- limiter in y --! |
---|
| 821 | IF( kn_limiter == 2 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho ) |
---|
| 822 | IF( kn_limiter == 3 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho, pfv_ups ) |
---|
[10399] | 823 | ! |
---|
[8586] | 824 | ! |
---|
[10267] | 825 | ELSE !== even ice time step: adv_y then adv_x ==! |
---|
[8586] | 826 | ! |
---|
[10267] | 827 | ! !-- ultimate interpolation of pt at v-point --! |
---|
| 828 | CALL ultimate_y( kn_umx, pdt, pt, pv, pvc, pt_v, pfv_ho ) |
---|
| 829 | ! !-- limiter in y --! |
---|
| 830 | IF( kn_limiter == 2 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho ) |
---|
| 831 | IF( kn_limiter == 3 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho, pfv_ups ) |
---|
| 832 | ! !-- advective form update in zzt --! |
---|
[10399] | 833 | IF( ll_1stguess_clem ) THEN |
---|
| 834 | |
---|
| 835 | ! first guess of tracer content from v-flux |
---|
| 836 | DO jj = 2, jpjm1 |
---|
| 837 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 838 | IF( ll_clem ) THEN |
---|
| 839 | IF( ll_gurvan ) THEN |
---|
| 840 | zzt(ji,jj) = ( pt(ji,jj) - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
| 841 | ELSE |
---|
| 842 | zzt(ji,jj) = ( pt(ji,jj) - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 843 | & + pt(ji,jj) * pdt * ( pv(ji,jj) - pv(ji,jj-1) ) * r1_e1e2t(ji,jj) * (1.-pamsk) ) * tmask(ji,jj,1) |
---|
| 844 | ENDIF |
---|
| 845 | ELSE |
---|
| 846 | zzt(ji,jj) = ( ptc(ji,jj) - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) ) & |
---|
| 847 | & * tmask(ji,jj,1) |
---|
| 848 | ENDIF |
---|
| 849 | END DO |
---|
[8586] | 850 | END DO |
---|
[10399] | 851 | CALL lbc_lnk( zzt, 'T', 1. ) |
---|
| 852 | |
---|
| 853 | ELSE |
---|
| 854 | |
---|
| 855 | DO jj = 2, jpjm1 |
---|
| 856 | DO ji = fs_2, fs_jpim1 |
---|
| 857 | IF( ll_gurvan ) THEN |
---|
| 858 | zzt(ji,jj) = pt(ji,jj) - pvbox(ji,jj) * pdt * ( pt_v(ji,jj) - pt_v(ji,jj-1) ) * r1_e2t(ji,jj) & |
---|
| 859 | & - pt (ji,jj) * pdt * ( pv (ji,jj) - pv (ji,jj-1) ) * r1_e1e2t(ji,jj) |
---|
| 860 | ELSE |
---|
| 861 | zzt(ji,jj) = pt(ji,jj) - pvbox(ji,jj) * pdt * ( pt_v(ji,jj) - pt_v(ji,jj-1) ) * r1_e2t(ji,jj) & |
---|
| 862 | & - pt (ji,jj) * pdt * ( pv (ji,jj) - pv (ji,jj-1) ) * r1_e1e2t(ji,jj) * pamsk |
---|
| 863 | ENDIF |
---|
| 864 | zzt(ji,jj) = zzt(ji,jj) * tmask(ji,jj,1) |
---|
| 865 | END DO |
---|
| 866 | END DO |
---|
| 867 | CALL lbc_lnk( zzt, 'T', 1. ) |
---|
| 868 | ENDIF |
---|
| 869 | ! |
---|
[10267] | 870 | ! !-- ultimate interpolation of pt at u-point --! |
---|
[10399] | 871 | IF( ll_hoxy ) THEN |
---|
| 872 | CALL ultimate_x( kn_umx, pdt, zzt, pu, puc, pt_u, pfu_ho ) |
---|
| 873 | ELSE |
---|
| 874 | CALL ultimate_x( kn_umx, pdt, pt, pu, puc, pt_u, pfu_ho ) |
---|
| 875 | ENDIF |
---|
[10267] | 876 | ! !-- limiter in x --! |
---|
| 877 | IF( kn_limiter == 2 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho ) |
---|
| 878 | IF( kn_limiter == 3 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho, pfu_ups ) |
---|
[8586] | 879 | ! |
---|
[10399] | 880 | ! |
---|
[10267] | 881 | ENDIF |
---|
[10399] | 882 | |
---|
| 883 | |
---|
[10315] | 884 | IF( kn_limiter == 1 ) THEN |
---|
| 885 | IF( .NOT. ll_limiter_it2 ) THEN |
---|
[10399] | 886 | IF( ll_clem ) THEN |
---|
| 887 | CALL nonosc_2d ( pamsk, pdt, pu, puc, pv, pvc, ptc, pt, pt_ups, pfu_ups, pfv_ups, pfu_ho, pfv_ho ) |
---|
| 888 | ELSE |
---|
| 889 | CALL nonosc_2d ( pamsk, pdt, pu, puc, pv, pvc, ptc, ptc, pt_ups, pfu_ups, pfv_ups, pfu_ho, pfv_ho ) |
---|
| 890 | ENDIF |
---|
[10315] | 891 | ELSE |
---|
| 892 | zzfu_ho(:,:) = pfu_ho(:,:) |
---|
| 893 | zzfv_ho(:,:) = pfv_ho(:,:) |
---|
| 894 | ! 1st iteration of nonosc (limit the flux with the upstream solution) |
---|
[10399] | 895 | IF( ll_clem ) THEN |
---|
| 896 | CALL nonosc_2d ( pamsk, pdt, pu, puc, pv, pvc, ptc, pt, pt_ups, pfu_ups, pfv_ups, zzfu_ho, zzfv_ho ) |
---|
| 897 | ELSE |
---|
| 898 | CALL nonosc_2d ( pamsk, pdt, pu, puc, pv, pvc, ptc, ptc, pt_ups, pfu_ups, pfv_ups, zzfu_ho, zzfv_ho ) |
---|
| 899 | ENDIF |
---|
[10315] | 900 | ! guess after content field with high order |
---|
| 901 | DO jj = 2, jpjm1 |
---|
| 902 | DO ji = fs_2, fs_jpim1 |
---|
| 903 | ztra = - ( zzfu_ho(ji,jj) - zzfu_ho(ji-1,jj) + zzfv_ho(ji,jj) - zzfv_ho(ji,jj-1) ) * r1_e1e2t(ji,jj) |
---|
| 904 | zzt(ji,jj) = ( ptc(ji,jj) + pdt * ztra ) * tmask(ji,jj,1) |
---|
| 905 | END DO |
---|
| 906 | END DO |
---|
| 907 | CALL lbc_lnk( zzt, 'T', 1. ) |
---|
| 908 | ! 2nd iteration of nonosc (limit the flux with the limited high order solution) |
---|
[10399] | 909 | IF( ll_clem ) THEN |
---|
| 910 | CALL nonosc_2d ( pamsk, pdt, pu, puc, pv, pvc, ptc, pt, zzt, zzfu_ho, zzfv_ho, pfu_ho, pfv_ho ) |
---|
| 911 | ELSE |
---|
| 912 | CALL nonosc_2d ( pamsk, pdt, pu, puc, pv, pvc, ptc, ptc, zzt, zzfu_ho, zzfv_ho, pfu_ho, pfv_ho ) |
---|
| 913 | ENDIF |
---|
[10315] | 914 | ENDIF |
---|
| 915 | ENDIF |
---|
[8586] | 916 | ! |
---|
| 917 | END SUBROUTINE macho |
---|
| 918 | |
---|
| 919 | |
---|
[10267] | 920 | SUBROUTINE ultimate_x( kn_umx, pdt, pt, pu, puc, pt_u, pfu_ho ) |
---|
[8586] | 921 | !!--------------------------------------------------------------------- |
---|
| 922 | !! *** ROUTINE ultimate_x *** |
---|
| 923 | !! |
---|
| 924 | !! ** Purpose : compute |
---|
| 925 | !! |
---|
| 926 | !! ** Method : ... ??? |
---|
| 927 | !! TIM = transient interpolation Modeling |
---|
| 928 | !! |
---|
| 929 | !! Reference : Leonard, B.P., 1991, Comput. Methods Appl. Mech. Eng., 88, 17-74. |
---|
| 930 | !!---------------------------------------------------------------------- |
---|
[10267] | 931 | INTEGER , INTENT(in ) :: kn_umx ! order of the scheme (1-5=UM or 20=CEN2) |
---|
[8586] | 932 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
[10267] | 933 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pu ! ice i-velocity component |
---|
| 934 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: puc ! ice i-velocity * A component |
---|
[8586] | 935 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pt ! tracer fields |
---|
| 936 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pt_u ! tracer at u-point |
---|
[10267] | 937 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pfu_ho ! high order flux |
---|
[8586] | 938 | ! |
---|
[10267] | 939 | INTEGER :: ji, jj ! dummy loop indices |
---|
[8586] | 940 | REAL(wp) :: zcu, zdx2, zdx4 ! - - |
---|
[10267] | 941 | REAL(wp), DIMENSION(jpi,jpj) :: ztu1, ztu2, ztu3, ztu4 |
---|
[8586] | 942 | !!---------------------------------------------------------------------- |
---|
| 943 | ! |
---|
| 944 | ! !-- Laplacian in i-direction --! |
---|
| 945 | DO jj = 2, jpjm1 ! First derivative (gradient) |
---|
| 946 | DO ji = 1, fs_jpim1 |
---|
| 947 | ztu1(ji,jj) = ( pt(ji+1,jj) - pt(ji,jj) ) * r1_e1u(ji,jj) * umask(ji,jj,1) |
---|
| 948 | END DO |
---|
| 949 | ! ! Second derivative (Laplacian) |
---|
| 950 | DO ji = fs_2, fs_jpim1 |
---|
| 951 | ztu2(ji,jj) = ( ztu1(ji,jj) - ztu1(ji-1,jj) ) * r1_e1t(ji,jj) |
---|
| 952 | END DO |
---|
| 953 | END DO |
---|
| 954 | CALL lbc_lnk( ztu2, 'T', 1. ) |
---|
| 955 | ! |
---|
| 956 | ! !-- BiLaplacian in i-direction --! |
---|
| 957 | DO jj = 2, jpjm1 ! Third derivative |
---|
| 958 | DO ji = 1, fs_jpim1 |
---|
| 959 | ztu3(ji,jj) = ( ztu2(ji+1,jj) - ztu2(ji,jj) ) * r1_e1u(ji,jj) * umask(ji,jj,1) |
---|
| 960 | END DO |
---|
| 961 | ! ! Fourth derivative |
---|
| 962 | DO ji = fs_2, fs_jpim1 |
---|
| 963 | ztu4(ji,jj) = ( ztu3(ji,jj) - ztu3(ji-1,jj) ) * r1_e1t(ji,jj) |
---|
| 964 | END DO |
---|
| 965 | END DO |
---|
| 966 | CALL lbc_lnk( ztu4, 'T', 1. ) |
---|
| 967 | ! |
---|
| 968 | ! |
---|
[10267] | 969 | SELECT CASE (kn_umx ) |
---|
[8586] | 970 | ! |
---|
| 971 | CASE( 1 ) !== 1st order central TIM ==! (Eq. 21) |
---|
| 972 | ! |
---|
[10399] | 973 | DO jj = 1, jpjm1 |
---|
[8586] | 974 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10267] | 975 | pt_u(ji,jj) = 0.5_wp * umask(ji,jj,1) * ( pt(ji+1,jj) + pt(ji,jj) & |
---|
| 976 | & - SIGN( 1._wp, pu(ji,jj) ) * ( pt(ji+1,jj) - pt(ji,jj) ) ) |
---|
[8586] | 977 | END DO |
---|
| 978 | END DO |
---|
| 979 | ! |
---|
| 980 | CASE( 2 ) !== 2nd order central TIM ==! (Eq. 23) |
---|
| 981 | ! |
---|
[10399] | 982 | DO jj = 1, jpjm1 |
---|
[8586] | 983 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10267] | 984 | zcu = pu(ji,jj) * r1_e2u(ji,jj) * pdt * r1_e1u(ji,jj) |
---|
[8586] | 985 | pt_u(ji,jj) = 0.5_wp * umask(ji,jj,1) * ( pt(ji+1,jj) + pt(ji,jj) & |
---|
| 986 | & - zcu * ( pt(ji+1,jj) - pt(ji,jj) ) ) |
---|
| 987 | END DO |
---|
| 988 | END DO |
---|
| 989 | ! |
---|
| 990 | CASE( 3 ) !== 3rd order central TIM ==! (Eq. 24) |
---|
| 991 | ! |
---|
[10399] | 992 | DO jj = 1, jpjm1 |
---|
[8586] | 993 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10267] | 994 | zcu = pu(ji,jj) * r1_e2u(ji,jj) * pdt * r1_e1u(ji,jj) |
---|
[8586] | 995 | zdx2 = e1u(ji,jj) * e1u(ji,jj) |
---|
| 996 | !!rachid zdx2 = e1u(ji,jj) * e1t(ji,jj) |
---|
| 997 | pt_u(ji,jj) = 0.5_wp * umask(ji,jj,1) * ( ( pt (ji+1,jj) + pt (ji,jj) & |
---|
| 998 | & - zcu * ( pt (ji+1,jj) - pt (ji,jj) ) ) & |
---|
| 999 | & + z1_6 * zdx2 * ( zcu*zcu - 1._wp ) * ( ztu2(ji+1,jj) + ztu2(ji,jj) & |
---|
| 1000 | & - SIGN( 1._wp, zcu ) * ( ztu2(ji+1,jj) - ztu2(ji,jj) ) ) ) |
---|
| 1001 | END DO |
---|
| 1002 | END DO |
---|
| 1003 | ! |
---|
| 1004 | CASE( 4 ) !== 4th order central TIM ==! (Eq. 27) |
---|
| 1005 | ! |
---|
[10399] | 1006 | DO jj = 1, jpjm1 |
---|
[8586] | 1007 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10267] | 1008 | zcu = pu(ji,jj) * r1_e2u(ji,jj) * pdt * r1_e1u(ji,jj) |
---|
[8586] | 1009 | zdx2 = e1u(ji,jj) * e1u(ji,jj) |
---|
| 1010 | !!rachid zdx2 = e1u(ji,jj) * e1t(ji,jj) |
---|
| 1011 | pt_u(ji,jj) = 0.5_wp * umask(ji,jj,1) * ( ( pt (ji+1,jj) + pt (ji,jj) & |
---|
| 1012 | & - zcu * ( pt (ji+1,jj) - pt (ji,jj) ) ) & |
---|
| 1013 | & + z1_6 * zdx2 * ( zcu*zcu - 1._wp ) * ( ztu2(ji+1,jj) + ztu2(ji,jj) & |
---|
| 1014 | & - 0.5_wp * zcu * ( ztu2(ji+1,jj) - ztu2(ji,jj) ) ) ) |
---|
| 1015 | END DO |
---|
| 1016 | END DO |
---|
| 1017 | ! |
---|
| 1018 | CASE( 5 ) !== 5th order central TIM ==! (Eq. 29) |
---|
| 1019 | ! |
---|
[10399] | 1020 | DO jj = 1, jpjm1 |
---|
[8586] | 1021 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10267] | 1022 | zcu = pu(ji,jj) * r1_e2u(ji,jj) * pdt * r1_e1u(ji,jj) |
---|
[8586] | 1023 | zdx2 = e1u(ji,jj) * e1u(ji,jj) |
---|
| 1024 | !!rachid zdx2 = e1u(ji,jj) * e1t(ji,jj) |
---|
| 1025 | zdx4 = zdx2 * zdx2 |
---|
| 1026 | pt_u(ji,jj) = 0.5_wp * umask(ji,jj,1) * ( ( pt (ji+1,jj) + pt (ji,jj) & |
---|
| 1027 | & - zcu * ( pt (ji+1,jj) - pt (ji,jj) ) ) & |
---|
| 1028 | & + z1_6 * zdx2 * ( zcu*zcu - 1._wp ) * ( ztu2(ji+1,jj) + ztu2(ji,jj) & |
---|
| 1029 | & - 0.5_wp * zcu * ( ztu2(ji+1,jj) - ztu2(ji,jj) ) ) & |
---|
| 1030 | & + z1_120 * zdx4 * ( zcu*zcu - 1._wp ) * ( zcu*zcu - 4._wp ) * ( ztu4(ji+1,jj) + ztu4(ji,jj) & |
---|
| 1031 | & - SIGN( 1._wp, zcu ) * ( ztu4(ji+1,jj) - ztu4(ji,jj) ) ) ) |
---|
| 1032 | END DO |
---|
| 1033 | END DO |
---|
| 1034 | ! |
---|
| 1035 | END SELECT |
---|
[10267] | 1036 | ! !-- High order flux in i-direction --! |
---|
[10399] | 1037 | IF( ll_neg ) THEN |
---|
| 1038 | DO jj = 1, jpjm1 |
---|
| 1039 | DO ji = 1, fs_jpim1 |
---|
| 1040 | IF( pt_u(ji,jj) < 0._wp ) THEN |
---|
| 1041 | pt_u(ji,jj) = 0.5_wp * umask(ji,jj,1) * ( pt(ji+1,jj) + pt(ji,jj) & |
---|
| 1042 | & - SIGN( 1._wp, pu(ji,jj) ) * ( pt(ji+1,jj) - pt(ji,jj) ) ) |
---|
| 1043 | ENDIF |
---|
| 1044 | END DO |
---|
| 1045 | END DO |
---|
| 1046 | ENDIF |
---|
| 1047 | |
---|
[10267] | 1048 | DO jj = 1, jpjm1 |
---|
| 1049 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10399] | 1050 | IF( ll_clem ) THEN |
---|
| 1051 | pfu_ho(ji,jj) = pu(ji,jj) * pt_u(ji,jj) |
---|
| 1052 | ELSE |
---|
| 1053 | pfu_ho(ji,jj) = puc(ji,jj) * pt_u(ji,jj) |
---|
| 1054 | ENDIF |
---|
[10267] | 1055 | END DO |
---|
| 1056 | END DO |
---|
[8586] | 1057 | ! |
---|
| 1058 | END SUBROUTINE ultimate_x |
---|
| 1059 | |
---|
| 1060 | |
---|
[10267] | 1061 | SUBROUTINE ultimate_y( kn_umx, pdt, pt, pv, pvc, pt_v, pfv_ho ) |
---|
[8586] | 1062 | !!--------------------------------------------------------------------- |
---|
| 1063 | !! *** ROUTINE ultimate_y *** |
---|
| 1064 | !! |
---|
| 1065 | !! ** Purpose : compute |
---|
| 1066 | !! |
---|
| 1067 | !! ** Method : ... ??? |
---|
| 1068 | !! TIM = transient interpolation Modeling |
---|
| 1069 | !! |
---|
| 1070 | !! Reference : Leonard, B.P., 1991, Comput. Methods Appl. Mech. Eng., 88, 17-74. |
---|
| 1071 | !!---------------------------------------------------------------------- |
---|
[10267] | 1072 | INTEGER , INTENT(in ) :: kn_umx ! order of the scheme (1-5=UM or 20=CEN2) |
---|
[8586] | 1073 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
[10267] | 1074 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pv ! ice j-velocity component |
---|
| 1075 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pvc ! ice j-velocity*A component |
---|
[8586] | 1076 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pt ! tracer fields |
---|
| 1077 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pt_v ! tracer at v-point |
---|
[10267] | 1078 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pfv_ho ! high order flux |
---|
[8586] | 1079 | ! |
---|
| 1080 | INTEGER :: ji, jj ! dummy loop indices |
---|
| 1081 | REAL(wp) :: zcv, zdy2, zdy4 ! - - |
---|
[10267] | 1082 | REAL(wp), DIMENSION(jpi,jpj) :: ztv1, ztv2, ztv3, ztv4 |
---|
[8586] | 1083 | !!---------------------------------------------------------------------- |
---|
| 1084 | ! |
---|
| 1085 | ! !-- Laplacian in j-direction --! |
---|
| 1086 | DO jj = 1, jpjm1 ! First derivative (gradient) |
---|
| 1087 | DO ji = fs_2, fs_jpim1 |
---|
| 1088 | ztv1(ji,jj) = ( pt(ji,jj+1) - pt(ji,jj) ) * r1_e2v(ji,jj) * vmask(ji,jj,1) |
---|
| 1089 | END DO |
---|
| 1090 | END DO |
---|
| 1091 | DO jj = 2, jpjm1 ! Second derivative (Laplacian) |
---|
| 1092 | DO ji = fs_2, fs_jpim1 |
---|
| 1093 | ztv2(ji,jj) = ( ztv1(ji,jj) - ztv1(ji,jj-1) ) * r1_e2t(ji,jj) |
---|
| 1094 | END DO |
---|
| 1095 | END DO |
---|
| 1096 | CALL lbc_lnk( ztv2, 'T', 1. ) |
---|
| 1097 | ! |
---|
| 1098 | ! !-- BiLaplacian in j-direction --! |
---|
| 1099 | DO jj = 1, jpjm1 ! First derivative |
---|
| 1100 | DO ji = fs_2, fs_jpim1 |
---|
| 1101 | ztv3(ji,jj) = ( ztv2(ji,jj+1) - ztv2(ji,jj) ) * r1_e2v(ji,jj) * vmask(ji,jj,1) |
---|
| 1102 | END DO |
---|
| 1103 | END DO |
---|
| 1104 | DO jj = 2, jpjm1 ! Second derivative |
---|
| 1105 | DO ji = fs_2, fs_jpim1 |
---|
| 1106 | ztv4(ji,jj) = ( ztv3(ji,jj) - ztv3(ji,jj-1) ) * r1_e2t(ji,jj) |
---|
| 1107 | END DO |
---|
| 1108 | END DO |
---|
| 1109 | CALL lbc_lnk( ztv4, 'T', 1. ) |
---|
| 1110 | ! |
---|
| 1111 | ! |
---|
[10267] | 1112 | SELECT CASE (kn_umx ) |
---|
[8586] | 1113 | ! |
---|
| 1114 | CASE( 1 ) !== 1st order central TIM ==! (Eq. 21) |
---|
| 1115 | DO jj = 1, jpjm1 |
---|
[10399] | 1116 | DO ji = 1, fs_jpim1 |
---|
[10267] | 1117 | pt_v(ji,jj) = 0.5_wp * vmask(ji,jj,1) * ( ( pt(ji,jj+1) + pt(ji,jj) ) & |
---|
| 1118 | & - SIGN( 1._wp, pv(ji,jj) ) * ( pt(ji,jj+1) - pt(ji,jj) ) ) |
---|
[8586] | 1119 | END DO |
---|
| 1120 | END DO |
---|
| 1121 | ! |
---|
| 1122 | CASE( 2 ) !== 2nd order central TIM ==! (Eq. 23) |
---|
| 1123 | DO jj = 1, jpjm1 |
---|
[10399] | 1124 | DO ji = 1, fs_jpim1 |
---|
[10267] | 1125 | zcv = pv(ji,jj) * r1_e1v(ji,jj) * pdt * r1_e2v(ji,jj) |
---|
[8586] | 1126 | pt_v(ji,jj) = 0.5_wp * vmask(ji,jj,1) * ( ( pt(ji,jj+1) + pt(ji,jj) ) & |
---|
| 1127 | & - zcv * ( pt(ji,jj+1) - pt(ji,jj) ) ) |
---|
| 1128 | END DO |
---|
| 1129 | END DO |
---|
[9421] | 1130 | CALL lbc_lnk( pt_v, 'V', 1. ) |
---|
[8586] | 1131 | ! |
---|
| 1132 | CASE( 3 ) !== 3rd order central TIM ==! (Eq. 24) |
---|
| 1133 | DO jj = 1, jpjm1 |
---|
[10399] | 1134 | DO ji = 1, fs_jpim1 |
---|
[10267] | 1135 | zcv = pv(ji,jj) * r1_e1v(ji,jj) * pdt * r1_e2v(ji,jj) |
---|
[8586] | 1136 | zdy2 = e2v(ji,jj) * e2v(ji,jj) |
---|
| 1137 | !!rachid zdy2 = e2v(ji,jj) * e2t(ji,jj) |
---|
| 1138 | pt_v(ji,jj) = 0.5_wp * vmask(ji,jj,1) * ( ( pt (ji,jj+1) + pt (ji,jj) & |
---|
| 1139 | & - zcv * ( pt (ji,jj+1) - pt (ji,jj) ) ) & |
---|
| 1140 | & + z1_6 * zdy2 * ( zcv*zcv - 1._wp ) * ( ztv2(ji,jj+1) + ztv2(ji,jj) & |
---|
| 1141 | & - SIGN( 1._wp, zcv ) * ( ztv2(ji,jj+1) - ztv2(ji,jj) ) ) ) |
---|
| 1142 | END DO |
---|
| 1143 | END DO |
---|
| 1144 | ! |
---|
| 1145 | CASE( 4 ) !== 4th order central TIM ==! (Eq. 27) |
---|
| 1146 | DO jj = 1, jpjm1 |
---|
[10399] | 1147 | DO ji = 1, fs_jpim1 |
---|
[10267] | 1148 | zcv = pv(ji,jj) * r1_e1v(ji,jj) * pdt * r1_e2v(ji,jj) |
---|
[8586] | 1149 | zdy2 = e2v(ji,jj) * e2v(ji,jj) |
---|
| 1150 | !!rachid zdy2 = e2v(ji,jj) * e2t(ji,jj) |
---|
| 1151 | pt_v(ji,jj) = 0.5_wp * vmask(ji,jj,1) * ( ( pt (ji,jj+1) + pt (ji,jj) & |
---|
| 1152 | & - zcv * ( pt (ji,jj+1) - pt (ji,jj) ) ) & |
---|
| 1153 | & + z1_6 * zdy2 * ( zcv*zcv - 1._wp ) * ( ztv2(ji,jj+1) + ztv2(ji,jj) & |
---|
| 1154 | & - 0.5_wp * zcv * ( ztv2(ji,jj+1) - ztv2(ji,jj) ) ) ) |
---|
| 1155 | END DO |
---|
| 1156 | END DO |
---|
| 1157 | ! |
---|
| 1158 | CASE( 5 ) !== 5th order central TIM ==! (Eq. 29) |
---|
| 1159 | DO jj = 1, jpjm1 |
---|
[10399] | 1160 | DO ji = 1, fs_jpim1 |
---|
[10267] | 1161 | zcv = pv(ji,jj) * r1_e1v(ji,jj) * pdt * r1_e2v(ji,jj) |
---|
[8586] | 1162 | zdy2 = e2v(ji,jj) * e2v(ji,jj) |
---|
| 1163 | !!rachid zdy2 = e2v(ji,jj) * e2t(ji,jj) |
---|
| 1164 | zdy4 = zdy2 * zdy2 |
---|
| 1165 | pt_v(ji,jj) = 0.5_wp * vmask(ji,jj,1) * ( ( pt (ji,jj+1) + pt (ji,jj) & |
---|
| 1166 | & - zcv * ( pt (ji,jj+1) - pt (ji,jj) ) ) & |
---|
| 1167 | & + z1_6 * zdy2 * ( zcv*zcv - 1._wp ) * ( ztv2(ji,jj+1) + ztv2(ji,jj) & |
---|
| 1168 | & - 0.5_wp * zcv * ( ztv2(ji,jj+1) - ztv2(ji,jj) ) ) & |
---|
| 1169 | & + z1_120 * zdy4 * ( zcv*zcv - 1._wp ) * ( zcv*zcv - 4._wp ) * ( ztv4(ji,jj+1) + ztv4(ji,jj) & |
---|
| 1170 | & - SIGN( 1._wp, zcv ) * ( ztv4(ji,jj+1) - ztv4(ji,jj) ) ) ) |
---|
| 1171 | END DO |
---|
| 1172 | END DO |
---|
| 1173 | ! |
---|
| 1174 | END SELECT |
---|
[10267] | 1175 | ! !-- High order flux in j-direction --! |
---|
[10399] | 1176 | IF( ll_neg ) THEN |
---|
| 1177 | DO jj = 1, jpjm1 |
---|
| 1178 | DO ji = 1, fs_jpim1 |
---|
| 1179 | IF( pt_v(ji,jj) < 0._wp ) THEN |
---|
| 1180 | pt_v(ji,jj) = 0.5_wp * vmask(ji,jj,1) * ( ( pt(ji,jj+1) + pt(ji,jj) ) & |
---|
| 1181 | & - SIGN( 1._wp, pv(ji,jj) ) * ( pt(ji,jj+1) - pt(ji,jj) ) ) |
---|
| 1182 | ENDIF |
---|
| 1183 | END DO |
---|
| 1184 | END DO |
---|
| 1185 | ENDIF |
---|
| 1186 | |
---|
[10267] | 1187 | DO jj = 1, jpjm1 |
---|
| 1188 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10399] | 1189 | IF( ll_clem ) THEN |
---|
| 1190 | pfv_ho(ji,jj) = pv(ji,jj) * pt_v(ji,jj) |
---|
| 1191 | ELSE |
---|
| 1192 | pfv_ho(ji,jj) = pvc(ji,jj) * pt_v(ji,jj) |
---|
| 1193 | ENDIF |
---|
[10267] | 1194 | END DO |
---|
| 1195 | END DO |
---|
[8586] | 1196 | ! |
---|
| 1197 | END SUBROUTINE ultimate_y |
---|
[10267] | 1198 | |
---|
| 1199 | |
---|
[10399] | 1200 | SUBROUTINE nonosc_2d( pamsk, pdt, pu, puc, pv, pvc, ptc, pt, pt_low, pfu_low, pfv_low, pfu_ho, pfv_ho ) |
---|
[8586] | 1201 | !!--------------------------------------------------------------------- |
---|
| 1202 | !! *** ROUTINE nonosc *** |
---|
| 1203 | !! |
---|
[10315] | 1204 | !! ** Purpose : compute monotonic tracer fluxes from the upstream |
---|
[8586] | 1205 | !! scheme and the before field by a nonoscillatory algorithm |
---|
| 1206 | !! |
---|
| 1207 | !! ** Method : ... ??? |
---|
[10399] | 1208 | !! warning : pt and pt_low must be masked, but the boundaries |
---|
[8586] | 1209 | !! conditions on the fluxes are not necessary zalezak (1979) |
---|
| 1210 | !! drange (1995) multi-dimensional forward-in-time and upstream- |
---|
| 1211 | !! in-space based differencing for fluid |
---|
| 1212 | !!---------------------------------------------------------------------- |
---|
[10331] | 1213 | REAL(wp) , INTENT(in ) :: pamsk ! advection of concentration (1) or other tracers (0) |
---|
[10267] | 1214 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
[10331] | 1215 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: pu ! ice i-velocity => u*e2 |
---|
| 1216 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: puc ! ice i-velocity *A => u*e2*a |
---|
| 1217 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: pv ! ice j-velocity => v*e1 |
---|
| 1218 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: pvc ! ice j-velocity *A => v*e1*a |
---|
[10399] | 1219 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: ptc, pt, pt_low ! before field & upstream guess of after field |
---|
[10331] | 1220 | REAL(wp), DIMENSION (jpi,jpj), INTENT(inout) :: pfv_low, pfu_low ! upstream flux |
---|
[10267] | 1221 | REAL(wp), DIMENSION (jpi,jpj), INTENT(inout) :: pfv_ho, pfu_ho ! monotonic flux |
---|
[8586] | 1222 | ! |
---|
| 1223 | INTEGER :: ji, jj ! dummy loop indices |
---|
[10399] | 1224 | REAL(wp) :: zpos, zneg, zbig, zsml, z1_dt, zpos2, zneg2 ! local scalars |
---|
| 1225 | REAL(wp) :: zau, zbu, zcu, zav, zbv, zcv, zup, zdo, zsign, zcoef ! - - |
---|
| 1226 | REAL(wp), DIMENSION(jpi,jpj) :: zbetup, zbetdo, zbup, zbdo, zti_low, ztj_low, zzt |
---|
[8586] | 1227 | !!---------------------------------------------------------------------- |
---|
| 1228 | zbig = 1.e+40_wp |
---|
[10315] | 1229 | zsml = epsi20 |
---|
[8586] | 1230 | |
---|
[10399] | 1231 | IF( ll_zeroup2 ) THEN |
---|
| 1232 | DO jj = 1, jpjm1 |
---|
| 1233 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 1234 | IF( amaxu(ji,jj) == 0._wp ) pfu_ho(ji,jj) = 0._wp |
---|
| 1235 | IF( amaxv(ji,jj) == 0._wp ) pfv_ho(ji,jj) = 0._wp |
---|
| 1236 | END DO |
---|
| 1237 | END DO |
---|
| 1238 | ENDIF |
---|
| 1239 | |
---|
| 1240 | IF( ll_zeroup4 ) THEN |
---|
| 1241 | DO jj = 1, jpjm1 |
---|
| 1242 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 1243 | IF( pfu_low(ji,jj) == 0._wp ) pfu_ho(ji,jj) = 0._wp |
---|
| 1244 | IF( pfv_low(ji,jj) == 0._wp ) pfv_ho(ji,jj) = 0._wp |
---|
| 1245 | END DO |
---|
| 1246 | END DO |
---|
| 1247 | ENDIF |
---|
[10331] | 1248 | |
---|
[10399] | 1249 | |
---|
| 1250 | IF( ll_zeroup1 ) THEN |
---|
| 1251 | DO jj = 2, jpjm1 |
---|
| 1252 | DO ji = fs_2, fs_jpim1 |
---|
| 1253 | IF( ll_gurvan ) THEN |
---|
| 1254 | zzt(ji,jj) = ( pt(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 1255 | & - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
| 1256 | ELSE |
---|
| 1257 | zzt(ji,jj) = ( pt(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 1258 | & - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 1259 | & + pt(ji,jj) * pdt * ( pu(ji,jj) - pu(ji-1,jj) ) * r1_e1e2t(ji,jj) * (1.-pamsk) & |
---|
| 1260 | & + pt(ji,jj) * pdt * ( pv(ji,jj) - pv(ji,jj-1) ) * r1_e1e2t(ji,jj) * (1.-pamsk) ) * tmask(ji,jj,1) |
---|
| 1261 | ENDIF |
---|
| 1262 | IF( zzt(ji,jj) < 0._wp ) THEN |
---|
| 1263 | pfu_ho(ji,jj) = pfu_low(ji,jj) |
---|
| 1264 | pfv_ho(ji,jj) = pfv_low(ji,jj) |
---|
| 1265 | WRITE(numout,*) '*** 1 negative high order zzt ***',ji,jj,zzt(ji,jj) |
---|
| 1266 | ENDIF |
---|
| 1267 | IF( ji==26 .AND. jj==86) THEN |
---|
| 1268 | WRITE(numout,*) 'zzt high order',zzt(ji,jj) |
---|
| 1269 | WRITE(numout,*) 'pfu_ho',(pfu_ho(ji,jj)) * r1_e1e2t(ji,jj) * pdt |
---|
| 1270 | WRITE(numout,*) 'pfv_ho',(pfv_ho(ji,jj)) * r1_e1e2t(ji,jj) * pdt |
---|
| 1271 | WRITE(numout,*) 'pfu_hom1',(pfu_ho(ji-1,jj)) * r1_e1e2t(ji,jj) * pdt |
---|
| 1272 | WRITE(numout,*) 'pfv_hom1',(pfv_ho(ji,jj-1)) * r1_e1e2t(ji,jj) * pdt |
---|
| 1273 | ENDIF |
---|
| 1274 | IF( ll_gurvan ) THEN |
---|
| 1275 | zzt(ji,jj) = ( pt(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 1276 | & - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
| 1277 | ELSE |
---|
| 1278 | zzt(ji,jj) = ( pt(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 1279 | & - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 1280 | & + pt(ji,jj) * pdt * ( pu(ji,jj) - pu(ji-1,jj) ) * r1_e1e2t(ji,jj) * (1.-pamsk) & |
---|
| 1281 | & + pt(ji,jj) * pdt * ( pv(ji,jj) - pv(ji,jj-1) ) * r1_e1e2t(ji,jj) * (1.-pamsk) ) * tmask(ji,jj,1) |
---|
| 1282 | ENDIF |
---|
| 1283 | IF( zzt(ji,jj) < 0._wp ) THEN |
---|
| 1284 | pfu_ho(ji-1,jj) = pfu_low(ji-1,jj) |
---|
| 1285 | pfv_ho(ji,jj-1) = pfv_low(ji,jj-1) |
---|
| 1286 | WRITE(numout,*) '*** 2 negative high order zzt ***',ji,jj,zzt(ji,jj) |
---|
| 1287 | ENDIF |
---|
| 1288 | IF( ll_gurvan ) THEN |
---|
| 1289 | zzt(ji,jj) = ( pt(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 1290 | & - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
| 1291 | ELSE |
---|
| 1292 | zzt(ji,jj) = ( pt(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 1293 | & - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 1294 | & + pt(ji,jj) * pdt * ( pu(ji,jj) - pu(ji-1,jj) ) * r1_e1e2t(ji,jj) * (1.-pamsk) & |
---|
| 1295 | & + pt(ji,jj) * pdt * ( pv(ji,jj) - pv(ji,jj-1) ) * r1_e1e2t(ji,jj) * (1.-pamsk) ) * tmask(ji,jj,1) |
---|
| 1296 | ENDIF |
---|
| 1297 | IF( zzt(ji,jj) < 0._wp ) THEN |
---|
| 1298 | WRITE(numout,*) '*** 3 negative high order zzt ***',ji,jj,zzt(ji,jj) |
---|
| 1299 | ENDIF |
---|
| 1300 | END DO |
---|
| 1301 | END DO |
---|
| 1302 | CALL lbc_lnk_multi( pfu_ho, 'U', -1., pfv_ho, 'V', -1. ) |
---|
[10331] | 1303 | ENDIF |
---|
[10399] | 1304 | |
---|
[10331] | 1305 | |
---|
[10267] | 1306 | ! antidiffusive flux : high order minus low order |
---|
| 1307 | ! -------------------------------------------------- |
---|
| 1308 | DO jj = 1, jpjm1 |
---|
| 1309 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10315] | 1310 | pfu_ho(ji,jj) = pfu_ho(ji,jj) - pfu_low(ji,jj) |
---|
| 1311 | pfv_ho(ji,jj) = pfv_ho(ji,jj) - pfv_low(ji,jj) |
---|
[10399] | 1312 | END DO |
---|
[10267] | 1313 | END DO |
---|
[8586] | 1314 | |
---|
[10315] | 1315 | ! extreme case where pfu_ho has to be zero |
---|
| 1316 | ! ---------------------------------------- |
---|
| 1317 | ! pfu_ho |
---|
| 1318 | ! * ---> |
---|
| 1319 | ! | | * | | |
---|
| 1320 | ! | | | * | |
---|
| 1321 | ! | | | | * |
---|
| 1322 | ! t_low : i-1 i i+1 i+2 |
---|
[10331] | 1323 | IF( ll_prelimiter_zalesak ) THEN |
---|
| 1324 | |
---|
[10315] | 1325 | DO jj = 2, jpjm1 |
---|
| 1326 | DO ji = fs_2, fs_jpim1 |
---|
| 1327 | zti_low(ji,jj)= pt_low(ji+1,jj ) |
---|
| 1328 | ztj_low(ji,jj)= pt_low(ji ,jj+1) |
---|
| 1329 | END DO |
---|
| 1330 | END DO |
---|
| 1331 | CALL lbc_lnk_multi( zti_low, 'T', 1., ztj_low, 'T', 1. ) |
---|
| 1332 | |
---|
| 1333 | |
---|
[10331] | 1334 | !! this does not work |
---|
| 1335 | !! DO jj = 2, jpjm1 |
---|
| 1336 | !! DO ji = fs_2, fs_jpim1 |
---|
| 1337 | !! IF( SIGN( 1., pfu_ho(ji,jj) ) /= SIGN( 1., pt_low (ji+1,jj ) - pt_low (ji ,jj) ) .AND. & |
---|
| 1338 | !! & SIGN( 1., pfv_ho(ji,jj) ) /= SIGN( 1., pt_low (ji ,jj+1) - pt_low (ji ,jj) ) & |
---|
| 1339 | !! & ) THEN |
---|
| 1340 | !! IF( SIGN( 1., pfu_ho(ji,jj) ) /= SIGN( 1., zti_low(ji+1,jj ) - zti_low(ji ,jj) ) .AND. & |
---|
| 1341 | !! & SIGN( 1., pfv_ho(ji,jj) ) /= SIGN( 1., ztj_low(ji,jj+1 ) - ztj_low(ji ,jj) ) & |
---|
| 1342 | !! & ) THEN |
---|
| 1343 | !! pfu_ho(ji,jj) = 0. ; pfv_ho(ji,jj) = 0. |
---|
| 1344 | !! ENDIF |
---|
| 1345 | !! IF( SIGN( 1., pfu_ho(ji,jj) ) /= SIGN( 1., pt_low (ji ,jj) - pt_low (ji-1,jj ) ) .AND. & |
---|
| 1346 | !! & SIGN( 1., pfv_ho(ji,jj) ) /= SIGN( 1., pt_low (ji ,jj) - pt_low (ji ,jj-1) ) & |
---|
| 1347 | !! & ) THEN |
---|
| 1348 | !! pfu_ho(ji,jj) = 0. ; pfv_ho(ji,jj) = 0. |
---|
| 1349 | !! ENDIF |
---|
| 1350 | !! ENDIF |
---|
| 1351 | !! END DO |
---|
| 1352 | !! END DO |
---|
[10315] | 1353 | |
---|
[10331] | 1354 | DO jj = 2, jpjm1 |
---|
| 1355 | DO ji = fs_2, fs_jpim1 |
---|
| 1356 | IF ( pfu_ho(ji,jj) * ( pt_low(ji+1,jj) - pt_low(ji,jj) ) <= 0. .AND. & |
---|
| 1357 | & pfv_ho(ji,jj) * ( pt_low(ji,jj+1) - pt_low(ji,jj) ) <= 0. ) THEN |
---|
| 1358 | ! |
---|
| 1359 | IF( pfu_ho(ji,jj) * ( zti_low(ji+1,jj) - zti_low(ji,jj) ) <= 0 .AND. & |
---|
| 1360 | & pfv_ho(ji,jj) * ( ztj_low(ji,jj+1) - ztj_low(ji,jj) ) <= 0) pfu_ho(ji,jj)=0. ; pfv_ho(ji,jj)=0. |
---|
| 1361 | ! |
---|
| 1362 | IF( pfu_ho(ji,jj) * ( pt_low(ji ,jj) - pt_low(ji-1,jj) ) <= 0 .AND. & |
---|
| 1363 | & pfv_ho(ji,jj) * ( pt_low(ji ,jj) - pt_low(ji,jj-1) ) <= 0) pfu_ho(ji,jj)=0. ; pfv_ho(ji,jj)=0. |
---|
| 1364 | ! |
---|
| 1365 | ENDIF |
---|
[10315] | 1366 | END DO |
---|
[10331] | 1367 | END DO |
---|
| 1368 | CALL lbc_lnk_multi( pfu_ho, 'U', -1., pfv_ho, 'V', -1. ) ! lateral boundary cond. |
---|
[10315] | 1369 | |
---|
[10331] | 1370 | ELSEIF( ll_prelimiter_devore ) THEN |
---|
| 1371 | DO jj = 2, jpjm1 |
---|
| 1372 | DO ji = fs_2, fs_jpim1 |
---|
| 1373 | zti_low(ji,jj)= pt_low(ji+1,jj ) |
---|
| 1374 | ztj_low(ji,jj)= pt_low(ji ,jj+1) |
---|
[10315] | 1375 | END DO |
---|
[10331] | 1376 | END DO |
---|
| 1377 | CALL lbc_lnk_multi( zti_low, 'T', 1., ztj_low, 'T', 1. ) |
---|
| 1378 | |
---|
| 1379 | z1_dt = 1._wp / pdt |
---|
| 1380 | DO jj = 2, jpjm1 |
---|
| 1381 | DO ji = fs_2, fs_jpim1 |
---|
| 1382 | zsign = SIGN( 1., pt_low(ji+1,jj) - pt_low(ji,jj) ) |
---|
| 1383 | pfu_ho(ji,jj) = zsign * MAX( 0. , MIN( ABS(pfu_ho(ji,jj)) , & |
---|
| 1384 | & zsign * ( pt_low (ji ,jj) - pt_low (ji-1,jj) ) * e1e2t(ji ,jj) * z1_dt , & |
---|
| 1385 | & zsign * ( zti_low(ji+1,jj) - zti_low(ji ,jj) ) * e1e2t(ji+1,jj) * z1_dt ) ) |
---|
| 1386 | |
---|
| 1387 | zsign = SIGN( 1., pt_low(ji,jj+1) - pt_low(ji,jj) ) |
---|
| 1388 | pfv_ho(ji,jj) = zsign * MAX( 0. , MIN( ABS(pfv_ho(ji,jj)) , & |
---|
| 1389 | & zsign * ( pt_low (ji,jj ) - pt_low (ji,jj-1) ) * e1e2t(ji,jj ) * z1_dt , & |
---|
| 1390 | & zsign * ( ztj_low(ji,jj+1) - ztj_low(ji,jj ) ) * e1e2t(ji,jj+1) * z1_dt ) ) |
---|
| 1391 | END DO |
---|
| 1392 | END DO |
---|
| 1393 | CALL lbc_lnk_multi( pfu_ho, 'U', -1., pfv_ho, 'V', -1. ) ! lateral boundary cond. |
---|
[10315] | 1394 | |
---|
[10331] | 1395 | ENDIF |
---|
[10315] | 1396 | |
---|
| 1397 | |
---|
[8586] | 1398 | ! Search local extrema |
---|
| 1399 | ! -------------------- |
---|
[10399] | 1400 | ! max/min of pt & pt_low with large negative/positive value (-/+zbig) outside ice cover |
---|
[10267] | 1401 | DO jj = 1, jpj |
---|
[10315] | 1402 | DO ji = 1, jpi |
---|
[10399] | 1403 | IF ( pt(ji,jj) <= 0._wp .AND. pt_low(ji,jj) <= 0._wp ) THEN |
---|
[10267] | 1404 | zbup(ji,jj) = -zbig |
---|
| 1405 | zbdo(ji,jj) = zbig |
---|
[10399] | 1406 | ELSEIF( pt(ji,jj) <= 0._wp .AND. pt_low(ji,jj) > 0._wp ) THEN |
---|
[10315] | 1407 | zbup(ji,jj) = pt_low(ji,jj) |
---|
| 1408 | zbdo(ji,jj) = pt_low(ji,jj) |
---|
[10399] | 1409 | ELSEIF( pt(ji,jj) > 0._wp .AND. pt_low(ji,jj) <= 0._wp ) THEN |
---|
| 1410 | zbup(ji,jj) = pt(ji,jj) |
---|
| 1411 | zbdo(ji,jj) = pt(ji,jj) |
---|
[10315] | 1412 | ELSE |
---|
[10399] | 1413 | zbup(ji,jj) = MAX( pt(ji,jj) , pt_low(ji,jj) ) |
---|
| 1414 | zbdo(ji,jj) = MIN( pt(ji,jj) , pt_low(ji,jj) ) |
---|
[10267] | 1415 | ENDIF |
---|
| 1416 | END DO |
---|
| 1417 | END DO |
---|
[8586] | 1418 | |
---|
[10399] | 1419 | |
---|
[8586] | 1420 | z1_dt = 1._wp / pdt |
---|
| 1421 | DO jj = 2, jpjm1 |
---|
| 1422 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 1423 | ! |
---|
[10399] | 1424 | IF( .NOT. ll_9points ) THEN |
---|
| 1425 | 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 |
---|
| 1426 | zdo = MIN( zbdo(ji,jj), zbdo(ji-1,jj ), zbdo(ji+1,jj ), zbdo(ji ,jj-1), zbdo(ji ,jj+1) ) |
---|
[10267] | 1427 | ! |
---|
[10399] | 1428 | ELSE |
---|
[10315] | 1429 | 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 |
---|
| 1430 | & zbup(ji-1,jj-1), zbup(ji+1,jj+1), zbup(ji+1,jj-1), zbup(ji-1,jj+1) ) |
---|
| 1431 | zdo = MIN( zbdo(ji,jj), zbdo(ji-1,jj ), zbdo(ji+1,jj ), zbdo(ji ,jj-1), zbdo(ji ,jj+1), & |
---|
| 1432 | & zbdo(ji-1,jj-1), zbdo(ji+1,jj+1), zbdo(ji+1,jj-1), zbdo(ji-1,jj+1) ) |
---|
[10399] | 1433 | ENDIF |
---|
[10315] | 1434 | ! |
---|
| 1435 | zpos = MAX( 0., pfu_ho(ji-1,jj) ) - MIN( 0., pfu_ho(ji ,jj) ) & ! positive/negative part of the flux |
---|
| 1436 | & + MAX( 0., pfv_ho(ji,jj-1) ) - MIN( 0., pfv_ho(ji,jj ) ) |
---|
[10267] | 1437 | zneg = MAX( 0., pfu_ho(ji ,jj) ) - MIN( 0., pfu_ho(ji-1,jj) ) & |
---|
| 1438 | & + MAX( 0., pfv_ho(ji,jj ) ) - MIN( 0., pfv_ho(ji,jj-1) ) |
---|
| 1439 | ! |
---|
[10399] | 1440 | IF( ll_HgradU .AND. .NOT.ll_gurvan ) THEN |
---|
| 1441 | zneg2 = ( pt(ji,jj) * MAX( 0., pu(ji,jj) - pu(ji-1,jj) ) + pt(ji,jj) * MAX( 0., pv(ji,jj) - pv(ji,jj-1) ) ) * ( 1. - pamsk ) |
---|
| 1442 | zpos2 = ( - pt(ji,jj) * MIN( 0., pu(ji,jj) - pu(ji-1,jj) ) - pt(ji,jj) * MIN( 0., pv(ji,jj) - pv(ji,jj-1) ) ) * ( 1. - pamsk ) |
---|
| 1443 | ELSE |
---|
| 1444 | zneg2 = 0. ; zpos2 = 0. |
---|
| 1445 | ENDIF |
---|
| 1446 | ! |
---|
[10267] | 1447 | ! ! up & down beta terms |
---|
[10315] | 1448 | ! zbetup(ji,jj) = ( zup - pt_low(ji,jj) ) / ( zpos + zsml ) * e1e2t(ji,jj) * z1_dt |
---|
| 1449 | ! zbetdo(ji,jj) = ( pt_low(ji,jj) - zdo ) / ( zneg + zsml ) * e1e2t(ji,jj) * z1_dt |
---|
[10399] | 1450 | |
---|
| 1451 | IF( (zpos+zpos2) > 0. ) THEN ; zbetup(ji,jj) = MAX( 0._wp, zup - pt_low(ji,jj) ) / (zpos+zpos2) * e1e2t(ji,jj) * z1_dt |
---|
| 1452 | ELSE ; zbetup(ji,jj) = 0. ! zbig |
---|
[10267] | 1453 | ENDIF |
---|
| 1454 | ! |
---|
[10399] | 1455 | IF( (zneg+zneg2) > 0. ) THEN ; zbetdo(ji,jj) = MAX( 0._wp, pt_low(ji,jj) - zdo ) / (zneg+zneg2) * e1e2t(ji,jj) * z1_dt |
---|
| 1456 | ELSE ; zbetdo(ji,jj) = 0. ! zbig |
---|
[10267] | 1457 | ENDIF |
---|
| 1458 | ! |
---|
[10399] | 1459 | ! if all the points are outside ice cover |
---|
| 1460 | IF( zup == -zbig ) zbetup(ji,jj) = 0. ! zbig |
---|
| 1461 | IF( zdo == zbig ) zbetdo(ji,jj) = 0. ! zbig |
---|
[10315] | 1462 | ! |
---|
[10399] | 1463 | |
---|
| 1464 | IF( ji==26 .AND. jj==86) THEN |
---|
| 1465 | WRITE(numout,*) '-----------------' |
---|
| 1466 | WRITE(numout,*) 'zpos',zpos,zpos2 |
---|
| 1467 | WRITE(numout,*) 'zneg',zneg,zneg2 |
---|
| 1468 | WRITE(numout,*) 'puc/pu',ABS(puc(ji,jj))/MAX(epsi20, ABS(pu(ji,jj))) |
---|
| 1469 | WRITE(numout,*) 'pvc/pv',ABS(pvc(ji,jj))/MAX(epsi20, ABS(pv(ji,jj))) |
---|
| 1470 | WRITE(numout,*) 'pucm1/pu',ABS(puc(ji-1,jj))/MAX(epsi20, ABS(pu(ji-1,jj))) |
---|
| 1471 | WRITE(numout,*) 'pvcm1/pv',ABS(pvc(ji,jj-1))/MAX(epsi20, ABS(pv(ji,jj-1))) |
---|
| 1472 | WRITE(numout,*) 'pfu_ho',(pfu_ho(ji,jj)+pfu_low(ji,jj)) * r1_e1e2t(ji,jj) * pdt |
---|
| 1473 | WRITE(numout,*) 'pfv_ho',(pfv_ho(ji,jj)+pfv_low(ji,jj)) * r1_e1e2t(ji,jj) * pdt |
---|
| 1474 | WRITE(numout,*) 'pfu_hom1',(pfu_ho(ji-1,jj)+pfu_low(ji-1,jj)) * r1_e1e2t(ji,jj) * pdt |
---|
| 1475 | WRITE(numout,*) 'pfv_hom1',(pfv_ho(ji,jj-1)+pfv_low(ji,jj-1)) * r1_e1e2t(ji,jj) * pdt |
---|
| 1476 | WRITE(numout,*) 'pfu_low',pfu_low(ji,jj) * r1_e1e2t(ji,jj) * pdt |
---|
| 1477 | WRITE(numout,*) 'pfv_low',pfv_low(ji,jj) * r1_e1e2t(ji,jj) * pdt |
---|
| 1478 | WRITE(numout,*) 'pfu_lowm1',pfu_low(ji-1,jj) * r1_e1e2t(ji,jj) * pdt |
---|
| 1479 | WRITE(numout,*) 'pfv_lowm1',pfv_low(ji,jj-1) * r1_e1e2t(ji,jj) * pdt |
---|
| 1480 | |
---|
| 1481 | WRITE(numout,*) 'pt',pt(ji,jj) |
---|
| 1482 | WRITE(numout,*) 'ptim1',pt(ji-1,jj) |
---|
| 1483 | WRITE(numout,*) 'ptjm1',pt(ji,jj-1) |
---|
| 1484 | WRITE(numout,*) 'pt_low',pt_low(ji,jj) |
---|
| 1485 | WRITE(numout,*) 'zbetup',zbetup(ji,jj) |
---|
| 1486 | WRITE(numout,*) 'zbetdo',zbetdo(ji,jj) |
---|
| 1487 | WRITE(numout,*) 'zup',zup |
---|
| 1488 | WRITE(numout,*) 'zdo',zdo |
---|
| 1489 | ENDIF |
---|
[10315] | 1490 | ! |
---|
[8586] | 1491 | END DO |
---|
| 1492 | END DO |
---|
| 1493 | CALL lbc_lnk_multi( zbetup, 'T', 1., zbetdo, 'T', 1. ) ! lateral boundary cond. (unchanged sign) |
---|
| 1494 | |
---|
[10331] | 1495 | |
---|
[10267] | 1496 | ! monotonic flux in the y direction |
---|
| 1497 | ! --------------------------------- |
---|
| 1498 | DO jj = 1, jpjm1 |
---|
[8637] | 1499 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[8586] | 1500 | zau = MIN( 1._wp , zbetdo(ji,jj) , zbetup(ji+1,jj) ) |
---|
| 1501 | zbu = MIN( 1._wp , zbetup(ji,jj) , zbetdo(ji+1,jj) ) |
---|
[10267] | 1502 | zcu = 0.5 + SIGN( 0.5 , pfu_ho(ji,jj) ) |
---|
[8586] | 1503 | ! |
---|
[10399] | 1504 | zcoef = ( zcu * zau + ( 1._wp - zcu ) * zbu ) |
---|
| 1505 | |
---|
| 1506 | pfu_ho(ji,jj) = pfu_ho(ji,jj) * zcoef + pfu_low(ji,jj) |
---|
| 1507 | |
---|
| 1508 | IF( ji==26 .AND. jj==86) THEN |
---|
| 1509 | WRITE(numout,*) 'coefU',zcoef |
---|
| 1510 | WRITE(numout,*) 'pfu_ho',(pfu_ho(ji,jj)) * r1_e1e2t(ji,jj) * pdt |
---|
| 1511 | WRITE(numout,*) 'pfu_hom1',(pfu_ho(ji-1,jj)) * r1_e1e2t(ji,jj) * pdt |
---|
| 1512 | ENDIF |
---|
| 1513 | |
---|
[8637] | 1514 | END DO |
---|
| 1515 | END DO |
---|
[10267] | 1516 | |
---|
[8637] | 1517 | DO jj = 1, jpjm1 |
---|
[10267] | 1518 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[8586] | 1519 | zav = MIN( 1._wp , zbetdo(ji,jj) , zbetup(ji,jj+1) ) |
---|
| 1520 | zbv = MIN( 1._wp , zbetup(ji,jj) , zbetdo(ji,jj+1) ) |
---|
[10267] | 1521 | zcv = 0.5 + SIGN( 0.5 , pfv_ho(ji,jj) ) |
---|
[8586] | 1522 | ! |
---|
[10399] | 1523 | zcoef = ( zcv * zav + ( 1._wp - zcv ) * zbv ) |
---|
| 1524 | |
---|
| 1525 | pfv_ho(ji,jj) = pfv_ho(ji,jj) * zcoef + pfv_low(ji,jj) |
---|
| 1526 | |
---|
| 1527 | IF( ji==26 .AND. jj==86) THEN |
---|
| 1528 | WRITE(numout,*) 'coefV',zcoef |
---|
| 1529 | WRITE(numout,*) 'pfv_ho',(pfv_ho(ji,jj)) * r1_e1e2t(ji,jj) * pdt |
---|
| 1530 | WRITE(numout,*) 'pfv_hom1',(pfv_ho(ji,jj-1)) * r1_e1e2t(ji,jj) * pdt |
---|
| 1531 | ENDIF |
---|
[8586] | 1532 | END DO |
---|
| 1533 | END DO |
---|
[10399] | 1534 | |
---|
| 1535 | ! clem test |
---|
| 1536 | DO jj = 2, jpjm1 |
---|
| 1537 | DO ji = 2, fs_jpim1 ! vector opt. |
---|
| 1538 | IF( ll_gurvan ) THEN |
---|
| 1539 | zzt(ji,jj) = ( pt(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 1540 | & - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
| 1541 | ELSE |
---|
| 1542 | zzt(ji,jj) = ( pt(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 1543 | & - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 1544 | & + pt(ji,jj) * pdt * ( pu(ji,jj) - pu(ji-1,jj) ) * r1_e1e2t(ji,jj) * (1.-pamsk) & |
---|
| 1545 | & + pt(ji,jj) * pdt * ( pv(ji,jj) - pv(ji,jj-1) ) * r1_e1e2t(ji,jj) * (1.-pamsk) ) * tmask(ji,jj,1) |
---|
| 1546 | ENDIF |
---|
| 1547 | IF( zzt(ji,jj) < -epsi20 ) THEN |
---|
| 1548 | WRITE(numout,*) 'T<0 nonosc',zzt(ji,jj) |
---|
| 1549 | ENDIF |
---|
| 1550 | END DO |
---|
| 1551 | END DO |
---|
| 1552 | |
---|
[8586] | 1553 | ! |
---|
[10399] | 1554 | ! |
---|
[8586] | 1555 | END SUBROUTINE nonosc_2d |
---|
| 1556 | |
---|
[10267] | 1557 | SUBROUTINE limiter_x( pdt, pu, puc, pt, pfu_ho, pfu_ups ) |
---|
| 1558 | !!--------------------------------------------------------------------- |
---|
| 1559 | !! *** ROUTINE limiter_x *** |
---|
| 1560 | !! |
---|
| 1561 | !! ** Purpose : compute flux limiter |
---|
| 1562 | !!---------------------------------------------------------------------- |
---|
| 1563 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
| 1564 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: pu ! ice i-velocity => u*e2 |
---|
| 1565 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: puc ! ice i-velocity *A => u*e2*a |
---|
| 1566 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: pt ! ice tracer |
---|
| 1567 | REAL(wp), DIMENSION (jpi,jpj), INTENT(inout) :: pfu_ho ! high order flux |
---|
| 1568 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ), OPTIONAL :: pfu_ups ! upstream flux |
---|
| 1569 | ! |
---|
| 1570 | REAL(wp) :: Cr, Rjm, Rj, Rjp, uCFL, zpsi, zh3, zlimiter, Rr |
---|
| 1571 | INTEGER :: ji, jj ! dummy loop indices |
---|
| 1572 | REAL(wp), DIMENSION (jpi,jpj) :: zslpx ! tracer slopes |
---|
| 1573 | !!---------------------------------------------------------------------- |
---|
| 1574 | ! |
---|
| 1575 | DO jj = 2, jpjm1 |
---|
| 1576 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 1577 | zslpx(ji,jj) = ( pt(ji+1,jj) - pt(ji,jj) ) * umask(ji,jj,1) |
---|
| 1578 | END DO |
---|
| 1579 | END DO |
---|
| 1580 | CALL lbc_lnk( zslpx, 'U', -1.) ! lateral boundary cond. |
---|
| 1581 | |
---|
| 1582 | DO jj = 2, jpjm1 |
---|
| 1583 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 1584 | uCFL = pdt * ABS( pu(ji,jj) ) * r1_e1e2t(ji,jj) |
---|
| 1585 | |
---|
| 1586 | Rjm = zslpx(ji-1,jj) |
---|
| 1587 | Rj = zslpx(ji ,jj) |
---|
| 1588 | Rjp = zslpx(ji+1,jj) |
---|
| 1589 | |
---|
| 1590 | IF( PRESENT(pfu_ups) ) THEN |
---|
| 1591 | |
---|
| 1592 | IF( pu(ji,jj) > 0. ) THEN ; Rr = Rjm |
---|
| 1593 | ELSE ; Rr = Rjp |
---|
| 1594 | ENDIF |
---|
| 1595 | |
---|
| 1596 | zh3 = pfu_ho(ji,jj) - pfu_ups(ji,jj) |
---|
| 1597 | IF( Rj > 0. ) THEN |
---|
| 1598 | zlimiter = MAX( 0., MIN( zh3, MAX(-Rr * 0.5 * ABS(puc(ji,jj)), & |
---|
| 1599 | & MIN( 2. * Rr * 0.5 * ABS(puc(ji,jj)), zh3, 1.5 * Rj * 0.5 * ABS(puc(ji,jj)) ) ) ) ) |
---|
| 1600 | ELSE |
---|
| 1601 | zlimiter = -MAX( 0., MIN(-zh3, MAX( Rr * 0.5 * ABS(puc(ji,jj)), & |
---|
| 1602 | & MIN(-2. * Rr * 0.5 * ABS(puc(ji,jj)), -zh3, -1.5 * Rj * 0.5 * ABS(puc(ji,jj)) ) ) ) ) |
---|
| 1603 | ENDIF |
---|
| 1604 | pfu_ho(ji,jj) = pfu_ups(ji,jj) + zlimiter |
---|
| 1605 | |
---|
| 1606 | ELSE |
---|
| 1607 | IF( Rj /= 0. ) THEN |
---|
| 1608 | IF( pu(ji,jj) > 0. ) THEN ; Cr = Rjm / Rj |
---|
| 1609 | ELSE ; Cr = Rjp / Rj |
---|
| 1610 | ENDIF |
---|
| 1611 | ELSE |
---|
| 1612 | Cr = 0. |
---|
| 1613 | !IF( pu(ji,jj) > 0. ) THEN ; Cr = Rjm * 1.e20 |
---|
| 1614 | !ELSE ; Cr = Rjp * 1.e20 |
---|
| 1615 | !ENDIF |
---|
| 1616 | ENDIF |
---|
| 1617 | |
---|
| 1618 | ! -- superbee -- |
---|
| 1619 | zpsi = MAX( 0., MAX( MIN(1.,2.*Cr), MIN(2.,Cr) ) ) |
---|
| 1620 | ! -- van albada 2 -- |
---|
| 1621 | !!zpsi = 2.*Cr / (Cr*Cr+1.) |
---|
| 1622 | |
---|
| 1623 | ! -- sweby (with beta=1) -- |
---|
| 1624 | !!zpsi = MAX( 0., MAX( MIN(1.,1.*Cr), MIN(1.,Cr) ) ) |
---|
| 1625 | ! -- van Leer -- |
---|
| 1626 | !!zpsi = ( Cr + ABS(Cr) ) / ( 1. + ABS(Cr) ) |
---|
| 1627 | ! -- ospre -- |
---|
| 1628 | !!zpsi = 1.5 * ( Cr*Cr + Cr ) / ( Cr*Cr + Cr + 1. ) |
---|
| 1629 | ! -- koren -- |
---|
| 1630 | !!zpsi = MAX( 0., MIN( 2.*Cr, MIN( (1.+2*Cr)/3., 2. ) ) ) |
---|
| 1631 | ! -- charm -- |
---|
| 1632 | !IF( Cr > 0. ) THEN ; zpsi = Cr * (3.*Cr + 1.) / ( (Cr + 1.) * (Cr + 1.) ) |
---|
| 1633 | !ELSE ; zpsi = 0. |
---|
| 1634 | !ENDIF |
---|
| 1635 | ! -- van albada 1 -- |
---|
| 1636 | !!zpsi = (Cr*Cr + Cr) / (Cr*Cr +1) |
---|
| 1637 | ! -- smart -- |
---|
| 1638 | !!zpsi = MAX( 0., MIN( 2.*Cr, MIN( 0.25+0.75*Cr, 4. ) ) ) |
---|
| 1639 | ! -- umist -- |
---|
| 1640 | !!zpsi = MAX( 0., MIN( 2.*Cr, MIN( 0.25+0.75*Cr, MIN(0.75+0.25*Cr, 2. ) ) ) ) |
---|
| 1641 | |
---|
| 1642 | ! high order flux corrected by the limiter |
---|
| 1643 | pfu_ho(ji,jj) = pfu_ho(ji,jj) - ABS( puc(ji,jj) ) * ( (1.-zpsi) + uCFL*zpsi ) * Rj * 0.5 |
---|
| 1644 | |
---|
| 1645 | ENDIF |
---|
| 1646 | END DO |
---|
| 1647 | END DO |
---|
| 1648 | CALL lbc_lnk( pfu_ho, 'U', -1.) ! lateral boundary cond. |
---|
| 1649 | ! |
---|
| 1650 | END SUBROUTINE limiter_x |
---|
| 1651 | |
---|
| 1652 | SUBROUTINE limiter_y( pdt, pv, pvc, pt, pfv_ho, pfv_ups ) |
---|
| 1653 | !!--------------------------------------------------------------------- |
---|
| 1654 | !! *** ROUTINE limiter_y *** |
---|
| 1655 | !! |
---|
| 1656 | !! ** Purpose : compute flux limiter |
---|
| 1657 | !!---------------------------------------------------------------------- |
---|
| 1658 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
| 1659 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: pv ! ice i-velocity => u*e2 |
---|
| 1660 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: pvc ! ice i-velocity *A => u*e2*a |
---|
| 1661 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: pt ! ice tracer |
---|
| 1662 | REAL(wp), DIMENSION (jpi,jpj), INTENT(inout) :: pfv_ho ! high order flux |
---|
| 1663 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ), OPTIONAL :: pfv_ups ! upstream flux |
---|
| 1664 | ! |
---|
| 1665 | REAL(wp) :: Cr, Rjm, Rj, Rjp, vCFL, zpsi, zh3, zlimiter, Rr |
---|
| 1666 | INTEGER :: ji, jj ! dummy loop indices |
---|
| 1667 | REAL(wp), DIMENSION (jpi,jpj) :: zslpy ! tracer slopes |
---|
| 1668 | !!---------------------------------------------------------------------- |
---|
| 1669 | ! |
---|
| 1670 | DO jj = 2, jpjm1 |
---|
| 1671 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 1672 | zslpy(ji,jj) = ( pt(ji,jj+1) - pt(ji,jj) ) * vmask(ji,jj,1) |
---|
| 1673 | END DO |
---|
| 1674 | END DO |
---|
| 1675 | CALL lbc_lnk( zslpy, 'V', -1.) ! lateral boundary cond. |
---|
| 1676 | |
---|
| 1677 | DO jj = 2, jpjm1 |
---|
| 1678 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 1679 | vCFL = pdt * ABS( pv(ji,jj) ) * r1_e1e2t(ji,jj) |
---|
| 1680 | |
---|
| 1681 | Rjm = zslpy(ji,jj-1) |
---|
| 1682 | Rj = zslpy(ji,jj ) |
---|
| 1683 | Rjp = zslpy(ji,jj+1) |
---|
| 1684 | |
---|
| 1685 | IF( PRESENT(pfv_ups) ) THEN |
---|
| 1686 | |
---|
| 1687 | IF( pv(ji,jj) > 0. ) THEN ; Rr = Rjm |
---|
| 1688 | ELSE ; Rr = Rjp |
---|
| 1689 | ENDIF |
---|
| 1690 | |
---|
| 1691 | zh3 = pfv_ho(ji,jj) - pfv_ups(ji,jj) |
---|
| 1692 | IF( Rj > 0. ) THEN |
---|
| 1693 | zlimiter = MAX( 0., MIN( zh3, MAX(-Rr * 0.5 * ABS(pvc(ji,jj)), & |
---|
| 1694 | & MIN( 2. * Rr * 0.5 * ABS(pvc(ji,jj)), zh3, 1.5 * Rj * 0.5 * ABS(pvc(ji,jj)) ) ) ) ) |
---|
| 1695 | ELSE |
---|
| 1696 | zlimiter = -MAX( 0., MIN(-zh3, MAX( Rr * 0.5 * ABS(pvc(ji,jj)), & |
---|
| 1697 | & MIN(-2. * Rr * 0.5 * ABS(pvc(ji,jj)), -zh3, -1.5 * Rj * 0.5 * ABS(pvc(ji,jj)) ) ) ) ) |
---|
| 1698 | ENDIF |
---|
| 1699 | pfv_ho(ji,jj) = pfv_ups(ji,jj) + zlimiter |
---|
| 1700 | |
---|
| 1701 | ELSE |
---|
| 1702 | |
---|
| 1703 | IF( Rj /= 0. ) THEN |
---|
| 1704 | IF( pv(ji,jj) > 0. ) THEN ; Cr = Rjm / Rj |
---|
| 1705 | ELSE ; Cr = Rjp / Rj |
---|
| 1706 | ENDIF |
---|
| 1707 | ELSE |
---|
| 1708 | Cr = 0. |
---|
| 1709 | !IF( pv(ji,jj) > 0. ) THEN ; Cr = Rjm * 1.e20 |
---|
| 1710 | !ELSE ; Cr = Rjp * 1.e20 |
---|
| 1711 | !ENDIF |
---|
| 1712 | ENDIF |
---|
| 1713 | |
---|
| 1714 | ! -- superbee -- |
---|
| 1715 | zpsi = MAX( 0., MAX( MIN(1.,2.*Cr), MIN(2.,Cr) ) ) |
---|
| 1716 | ! -- van albada 2 -- |
---|
| 1717 | !!zpsi = 2.*Cr / (Cr*Cr+1.) |
---|
| 1718 | |
---|
| 1719 | ! -- sweby (with beta=1) -- |
---|
| 1720 | !!zpsi = MAX( 0., MAX( MIN(1.,1.*Cr), MIN(1.,Cr) ) ) |
---|
| 1721 | ! -- van Leer -- |
---|
| 1722 | !!zpsi = ( Cr + ABS(Cr) ) / ( 1. + ABS(Cr) ) |
---|
| 1723 | ! -- ospre -- |
---|
| 1724 | !!zpsi = 1.5 * ( Cr*Cr + Cr ) / ( Cr*Cr + Cr + 1. ) |
---|
| 1725 | ! -- koren -- |
---|
| 1726 | !!zpsi = MAX( 0., MIN( 2.*Cr, MIN( (1.+2*Cr)/3., 2. ) ) ) |
---|
| 1727 | ! -- charm -- |
---|
| 1728 | !IF( Cr > 0. ) THEN ; zpsi = Cr * (3.*Cr + 1.) / ( (Cr + 1.) * (Cr + 1.) ) |
---|
| 1729 | !ELSE ; zpsi = 0. |
---|
| 1730 | !ENDIF |
---|
| 1731 | ! -- van albada 1 -- |
---|
| 1732 | !!zpsi = (Cr*Cr + Cr) / (Cr*Cr +1) |
---|
| 1733 | ! -- smart -- |
---|
| 1734 | !!zpsi = MAX( 0., MIN( 2.*Cr, MIN( 0.25+0.75*Cr, 4. ) ) ) |
---|
| 1735 | ! -- umist -- |
---|
| 1736 | !!zpsi = MAX( 0., MIN( 2.*Cr, MIN( 0.25+0.75*Cr, MIN(0.75+0.25*Cr, 2. ) ) ) ) |
---|
| 1737 | |
---|
| 1738 | ! high order flux corrected by the limiter |
---|
| 1739 | pfv_ho(ji,jj) = pfv_ho(ji,jj) - ABS( pvc(ji,jj) ) * ( (1.-zpsi) + vCFL*zpsi ) * Rj * 0.5 |
---|
| 1740 | |
---|
| 1741 | ENDIF |
---|
| 1742 | END DO |
---|
| 1743 | END DO |
---|
| 1744 | CALL lbc_lnk( pfv_ho, 'V', -1.) ! lateral boundary cond. |
---|
| 1745 | ! |
---|
| 1746 | END SUBROUTINE limiter_y |
---|
| 1747 | |
---|
[8586] | 1748 | #else |
---|
| 1749 | !!---------------------------------------------------------------------- |
---|
[9570] | 1750 | !! Default option Dummy module NO SI3 sea-ice model |
---|
[8586] | 1751 | !!---------------------------------------------------------------------- |
---|
| 1752 | #endif |
---|
| 1753 | |
---|
| 1754 | !!====================================================================== |
---|
| 1755 | END MODULE icedyn_adv_umx |
---|