[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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[10411] | 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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[10411] | 163 | IF( ll_zeroup2 ) THEN |
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| 164 | IF(.NOT. ALLOCATED(amaxu)) ALLOCATE(amaxu (jpi,jpj)) |
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| 165 | IF(.NOT. ALLOCATED(amaxv)) ALLOCATE(amaxv (jpi,jpj)) |
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| 166 | ENDIF |
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[8586] | 167 | !---------------! |
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| 168 | !== advection ==! |
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| 169 | !---------------! |
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[10267] | 170 | DO jt = 1, icycle |
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| 171 | |
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[10399] | 172 | IF( ll_ADVopw ) THEN |
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| 173 | ll_dens=.FALSE. |
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| 174 | zamsk = 1._wp |
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| 175 | 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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| 176 | ELSE |
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| 177 | zai_b(:,:) = SUM( pa_i(:,:,:), dim=3 ) |
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| 178 | ENDIF |
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| 179 | |
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[8586] | 180 | DO jl = 1, jpl |
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[10267] | 181 | ! |
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[10399] | 182 | WHERE( pa_i(:,:,jl) >= epsi20 ) ; z1_ai_b(:,:) = 1._wp / pa_i(:,:,jl) |
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| 183 | ELSEWHERE ; z1_ai_b(:,:) = 0. |
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[10267] | 184 | END WHERE |
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| 185 | ! |
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[10399] | 186 | IF( ll_zeroup2 ) THEN |
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| 187 | DO jj = 2, jpjm1 |
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| 188 | DO ji = fs_2, fs_jpim1 |
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| 189 | 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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| 190 | & pa_i(ji+1,jj,jl), pa_i(ji+1,jj-1,jl), pa_i(ji+1,jj+1,jl) ) |
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| 191 | 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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| 192 | & pa_i(ji,jj+1,jl), pa_i(ji-1,jj+1,jl), pa_i(ji+1,jj+1,jl) ) |
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| 193 | END DO |
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| 194 | END DO |
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| 195 | CALL lbc_lnk_multi(amaxu, 'T', 1., amaxv, 'T', 1.) |
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| 196 | ENDIF |
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| 197 | ! |
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| 198 | zamsk = 1._wp |
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| 199 | ll_dens=.TRUE. |
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| 200 | 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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| 201 | ll_dens=.FALSE. |
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[10315] | 202 | |
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[10399] | 203 | WHERE( pa_i(:,:,jl) >= epsi20 ) ; z1_ai(:,:) = 1._wp / pa_i(:,:,jl) |
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| 204 | ELSEWHERE ; z1_ai(:,:) = 0. |
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| 205 | END WHERE |
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| 206 | |
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| 207 | IF( ll_thickness ) THEN |
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| 208 | zua_ho(:,:) = zudy(:,:) |
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| 209 | zva_ho(:,:) = zvdx(:,:) |
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| 210 | ENDIF |
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| 211 | |
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| 212 | zamsk = 0._wp ; zhvar(:,:) = pv_i (:,:,jl) * z1_ai_b(:,:) |
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| 213 | 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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| 214 | IF( ll_thickness ) pv_i(:,:,jl) = zhvar(:,:) * pa_i(:,:,jl) |
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| 215 | |
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| 216 | zamsk = 0._wp ; zhvar(:,:) = pv_s (:,:,jl) * z1_ai_b(:,:) |
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| 217 | 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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| 218 | IF( ll_thickness ) pv_s(:,:,jl) = zhvar(:,:) * pa_i(:,:,jl) |
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| 219 | |
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| 220 | zamsk = 0._wp ; zhvar(:,:) = psv_i(:,:,jl) * z1_ai_b(:,:) |
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| 221 | 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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| 222 | |
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| 223 | zamsk = 0._wp ; zhvar(:,:) = poa_i(:,:,jl) * z1_ai_b(:,:) |
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| 224 | 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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| 225 | |
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[8586] | 226 | DO jk = 1, nlay_i |
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[10399] | 227 | zamsk = 0._wp ; zhvar(:,:) = pe_i(:,:,jk,jl) * z1_ai_b(:,:) |
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| 228 | 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] | 229 | END DO |
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[10399] | 230 | |
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[9271] | 231 | DO jk = 1, nlay_s |
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[10399] | 232 | zamsk = 0._wp ; zhvar(:,:) = pe_s(:,:,jk,jl) * z1_ai_b(:,:) |
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| 233 | 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] | 234 | END DO |
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[10267] | 235 | ! |
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[10399] | 236 | 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] | 237 | ! |
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[10399] | 238 | WHERE( pa_ip(:,:,jl) >= epsi20 ) ; z1_ai_b(:,:) = 1._wp / pa_ip(:,:,jl) |
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| 239 | ELSEWHERE ; z1_ai_b(:,:) = 0. |
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[10267] | 240 | END WHERE |
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| 241 | ! |
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[10399] | 242 | zamsk = 1._wp |
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| 243 | ll_dens=.TRUE. |
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| 244 | 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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| 245 | ll_dens=.FALSE. |
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[10315] | 246 | |
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[10399] | 247 | WHERE( pa_ip(:,:,jl) >= epsi20 ) ; z1_ai(:,:) = 1._wp / pa_ip(:,:,jl) |
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| 248 | ELSEWHERE ; z1_ai(:,:) = 0. |
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| 249 | END WHERE |
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[10315] | 250 | |
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[10399] | 251 | zamsk = 0._wp ; zhvar(:,:) = pv_ip(:,:,jl) * z1_ai_b(:,:) |
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| 252 | 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] | 253 | ENDIF |
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[10267] | 254 | ! |
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[10399] | 255 | ! |
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| 256 | END DO |
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| 257 | |
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| 258 | IF( .NOT. ll_ADVopw ) THEN |
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| 259 | zai_a(:,:) = SUM( pa_i(:,:,:), dim=3 ) |
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[10267] | 260 | DO jj = 2, jpjm1 |
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| 261 | DO ji = fs_2, fs_jpim1 |
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[10399] | 262 | pato_i(ji,jj) = pato_i(ji,jj) - ( zai_a(ji,jj) - zai_b(ji,jj) ) & |
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| 263 | & - ( zudy(ji,jj) - zudy(ji-1,jj) + zvdx(ji,jj) - zvdx(ji,jj-1) ) * r1_e1e2t(ji,jj) * zdt |
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| 264 | END DO |
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[10267] | 265 | END DO |
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[10399] | 266 | CALL lbc_lnk( pato_i(:,:), 'T', 1. ) |
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| 267 | ENDIF |
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| 268 | |
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[8586] | 269 | END DO |
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| 270 | ! |
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| 271 | END SUBROUTINE ice_dyn_adv_umx |
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[9929] | 272 | |
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[8586] | 273 | |
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[10399] | 274 | 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] | 275 | !!---------------------------------------------------------------------- |
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| 276 | !! *** ROUTINE adv_umx *** |
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| 277 | !! |
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| 278 | !! ** Purpose : Compute the now trend due to total advection of |
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| 279 | !! tracers and add it to the general trend of tracer equations |
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| 280 | !! |
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| 281 | !! ** Method : TVD scheme, i.e. 2nd order centered scheme with |
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| 282 | !! corrected flux (monotonic correction) |
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| 283 | !! note: - this advection scheme needs a leap-frog time scheme |
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| 284 | !! |
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| 285 | !! ** Action : - pt the after advective tracer |
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| 286 | !!---------------------------------------------------------------------- |
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[10267] | 287 | REAL(wp) , INTENT(in ) :: pamsk ! advection of concentration (1) or other tracers (0) |
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| 288 | INTEGER , INTENT(in ) :: kn_umx ! order of the scheme (1-5=UM or 20=CEN2) |
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| 289 | INTEGER , INTENT(in ) :: jt ! number of sub-iteration |
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| 290 | INTEGER , INTENT(in ) :: kt ! number of iteration |
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| 291 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
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| 292 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pu , pv ! 2 ice velocity components => u*e2 |
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| 293 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: puc , pvc ! 2 ice velocity components => u*e2 or u*a*e2u |
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| 294 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pubox, pvbox ! upstream velocity |
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[10399] | 295 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: pt ! tracer field |
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[10267] | 296 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: ptc ! tracer content field |
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[10315] | 297 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out), OPTIONAL :: pua_ho, pva_ho ! high order u*a fluxes |
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[8586] | 298 | ! |
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| 299 | INTEGER :: ji, jj ! dummy loop indices |
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| 300 | REAL(wp) :: ztra ! local scalar |
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[10267] | 301 | INTEGER :: kn_limiter = 1 ! 1=nonosc ; 2=superbee ; 3=h3(rachid) |
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| 302 | REAL(wp), DIMENSION(jpi,jpj) :: zfu_ho , zfv_ho , zt_u, zt_v, zpt |
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| 303 | REAL(wp), DIMENSION(jpi,jpj) :: zfu_ups, zfv_ups, zt_ups ! only for nonosc |
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[8586] | 304 | !!---------------------------------------------------------------------- |
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| 305 | ! |
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[10267] | 306 | ! upstream (_ups) advection with initial mass fluxes |
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| 307 | ! --------------------------------------------------- |
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[10399] | 308 | IF( ll_clem ) zfu_ups=0.; zfv_ups=0. |
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| 309 | |
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| 310 | IF( ll_gurvan .AND. pamsk==0. ) THEN |
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| 311 | DO jj = 2, jpjm1 |
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| 312 | DO ji = fs_2, fs_jpim1 |
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| 313 | pt(ji,jj) = ( pt (ji,jj) + pt(ji,jj) * pdt * ( pu(ji,jj) - pu(ji-1,jj) ) * r1_e1e2t(ji,jj) & |
---|
| 314 | & + pt(ji,jj) * pdt * ( pv(ji,jj) - pv(ji,jj-1) ) * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
| 315 | END DO |
---|
| 316 | END DO |
---|
| 317 | CALL lbc_lnk( pt, 'T', 1. ) |
---|
| 318 | ENDIF |
---|
| 319 | |
---|
| 320 | |
---|
[10315] | 321 | IF( .NOT. ll_upsxy ) THEN |
---|
| 322 | |
---|
| 323 | ! fluxes |
---|
| 324 | DO jj = 1, jpjm1 |
---|
| 325 | DO ji = 1, fs_jpim1 |
---|
[10399] | 326 | IF( ll_clem ) THEN |
---|
| 327 | zfu_ups(ji,jj) = MAX( pu(ji,jj), 0._wp ) * pt(ji,jj) + MIN( pu(ji,jj), 0._wp ) * pt(ji+1,jj) |
---|
| 328 | zfv_ups(ji,jj) = MAX( pv(ji,jj), 0._wp ) * pt(ji,jj) + MIN( pv(ji,jj), 0._wp ) * pt(ji,jj+1) |
---|
| 329 | ELSE |
---|
| 330 | zfu_ups(ji,jj) = MAX( puc(ji,jj), 0._wp ) * pt(ji,jj) + MIN( puc(ji,jj), 0._wp ) * pt(ji+1,jj) |
---|
| 331 | zfv_ups(ji,jj) = MAX( pvc(ji,jj), 0._wp ) * pt(ji,jj) + MIN( pvc(ji,jj), 0._wp ) * pt(ji,jj+1) |
---|
| 332 | ENDIF |
---|
[10315] | 333 | END DO |
---|
[8586] | 334 | END DO |
---|
[10315] | 335 | |
---|
| 336 | ELSE |
---|
| 337 | ! 1 if advection of A |
---|
[10399] | 338 | ! z1_ai already defined IF advection of other tracers |
---|
| 339 | IF( pamsk == 1. ) z1_ai(:,:) = 1._wp |
---|
[10315] | 340 | ! |
---|
| 341 | IF( MOD( (kt - 1) / nn_fsbc , 2 ) == MOD( (jt - 1) , 2 ) ) THEN !== odd ice time step: adv_x then adv_y ==! |
---|
| 342 | ! flux in x-direction |
---|
| 343 | DO jj = 1, jpjm1 |
---|
| 344 | DO ji = 1, fs_jpim1 |
---|
[10399] | 345 | IF( ll_clem ) THEN |
---|
| 346 | zfu_ups(ji,jj) = MAX( pu(ji,jj), 0._wp ) * pt(ji,jj) + MIN( pu(ji,jj), 0._wp ) * pt(ji+1,jj) |
---|
| 347 | ELSE |
---|
| 348 | zfu_ups(ji,jj) = MAX( puc(ji,jj), 0._wp ) * pt(ji,jj) + MIN( puc(ji,jj), 0._wp ) * pt(ji+1,jj) |
---|
| 349 | ENDIF |
---|
[10315] | 350 | END DO |
---|
| 351 | END DO |
---|
[10399] | 352 | |
---|
[10315] | 353 | ! first guess of tracer content from u-flux |
---|
| 354 | DO jj = 2, jpjm1 |
---|
| 355 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[10399] | 356 | IF( ll_clem ) THEN |
---|
| 357 | IF( ll_gurvan ) THEN |
---|
| 358 | zpt(ji,jj) = ( pt(ji,jj) - ( zfu_ups(ji,jj) - zfu_ups(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
| 359 | ELSE |
---|
| 360 | zpt(ji,jj) = ( pt(ji,jj) - ( zfu_ups(ji,jj) - zfu_ups(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 361 | & + pt(ji,jj) * pdt * ( pu(ji,jj) - pu(ji-1,jj) ) * r1_e1e2t(ji,jj) * (1.-pamsk) ) & |
---|
| 362 | & * tmask(ji,jj,1) |
---|
| 363 | ENDIF |
---|
| 364 | ELSE |
---|
| 365 | zpt(ji,jj) = ( ptc(ji,jj) - ( zfu_ups(ji,jj) - zfu_ups(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) ) & |
---|
| 366 | & * tmask(ji,jj,1) |
---|
| 367 | ENDIF |
---|
[10411] | 368 | !! IF( ji==26 .AND. jj==86) THEN |
---|
| 369 | !! WRITE(numout,*) '************************' |
---|
| 370 | !! WRITE(numout,*) 'zpt upstream',zpt(ji,jj) |
---|
| 371 | !! ENDIF |
---|
[10315] | 372 | END DO |
---|
| 373 | END DO |
---|
| 374 | CALL lbc_lnk( zpt, 'T', 1. ) |
---|
| 375 | ! |
---|
| 376 | ! flux in y-direction |
---|
| 377 | DO jj = 1, jpjm1 |
---|
| 378 | DO ji = 1, fs_jpim1 |
---|
[10399] | 379 | IF( ll_clem ) THEN |
---|
| 380 | zfv_ups(ji,jj) = MAX( pv(ji,jj), 0._wp ) * zpt(ji,jj) + MIN( pv(ji,jj), 0._wp ) * zpt(ji,jj+1) |
---|
| 381 | ELSE |
---|
| 382 | zfv_ups(ji,jj) = MAX( pvc(ji,jj), 0._wp ) * zpt(ji,jj) + MIN( pvc(ji,jj), 0._wp ) * zpt(ji,jj+1) |
---|
| 383 | ENDIF |
---|
[10315] | 384 | END DO |
---|
| 385 | END DO |
---|
[10399] | 386 | |
---|
| 387 | ! |
---|
[10315] | 388 | ELSE !== even ice time step: adv_y then adv_x ==! |
---|
| 389 | ! flux in y-direction |
---|
| 390 | DO jj = 1, jpjm1 |
---|
| 391 | DO ji = 1, fs_jpim1 |
---|
[10399] | 392 | IF( ll_clem ) THEN |
---|
| 393 | zfv_ups(ji,jj) = MAX( pv(ji,jj), 0._wp ) * pt(ji,jj) + MIN( pv(ji,jj), 0._wp ) * pt(ji,jj+1) |
---|
| 394 | ELSE |
---|
| 395 | zfv_ups(ji,jj) = MAX( pvc(ji,jj), 0._wp ) * pt(ji,jj) + MIN( pvc(ji,jj), 0._wp ) * pt(ji,jj+1) |
---|
| 396 | ENDIF |
---|
[10315] | 397 | END DO |
---|
| 398 | END DO |
---|
[10399] | 399 | |
---|
[10315] | 400 | ! first guess of tracer content from v-flux |
---|
| 401 | DO jj = 2, jpjm1 |
---|
| 402 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[10399] | 403 | IF( ll_clem ) THEN |
---|
| 404 | IF( ll_gurvan ) THEN |
---|
| 405 | zpt(ji,jj) = ( pt(ji,jj) - ( zfv_ups(ji,jj) - zfv_ups(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
| 406 | ELSE |
---|
| 407 | zpt(ji,jj) = ( pt(ji,jj) - ( zfv_ups(ji,jj) - zfv_ups(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 408 | & + pt(ji,jj) * pdt * ( pv(ji,jj) - pv(ji,jj-1) ) * r1_e1e2t(ji,jj) * (1.-pamsk) ) & |
---|
| 409 | & * tmask(ji,jj,1) |
---|
| 410 | ENDIF |
---|
| 411 | ELSE |
---|
| 412 | zpt(ji,jj) = ( ptc(ji,jj) - ( zfv_ups(ji,jj) - zfv_ups(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) ) & |
---|
| 413 | & * tmask(ji,jj,1) |
---|
| 414 | ENDIF |
---|
[10411] | 415 | !! IF( ji==26 .AND. jj==86) THEN |
---|
| 416 | !! WRITE(numout,*) '************************' |
---|
| 417 | !! WRITE(numout,*) 'zpt upstream',zpt(ji,jj) |
---|
| 418 | !! ENDIF |
---|
[10399] | 419 | END DO |
---|
[10315] | 420 | END DO |
---|
| 421 | CALL lbc_lnk( zpt, 'T', 1. ) |
---|
| 422 | ! |
---|
| 423 | ! flux in x-direction |
---|
| 424 | DO jj = 1, jpjm1 |
---|
| 425 | DO ji = 1, fs_jpim1 |
---|
[10399] | 426 | IF( ll_clem ) THEN |
---|
| 427 | zfu_ups(ji,jj) = MAX( pu(ji,jj), 0._wp ) * zpt(ji,jj) + MIN( pu(ji,jj), 0._wp ) * zpt(ji+1,jj) |
---|
| 428 | ELSE |
---|
| 429 | zfu_ups(ji,jj) = MAX( puc(ji,jj), 0._wp ) * zpt(ji,jj) + MIN( puc(ji,jj), 0._wp ) * zpt(ji+1,jj) |
---|
| 430 | ENDIF |
---|
[10315] | 431 | END DO |
---|
| 432 | END DO |
---|
| 433 | ! |
---|
| 434 | ENDIF |
---|
| 435 | |
---|
| 436 | ENDIF |
---|
[10331] | 437 | |
---|
[10399] | 438 | IF( ll_clem .AND. kn_limiter /= 1 ) & |
---|
| 439 | & CALL ctl_stop( 'STOP', 'icedyn_adv_umx: ll_clem incompatible with limiters other than nonosc' ) |
---|
[10331] | 440 | |
---|
[10399] | 441 | IF( ll_zeroup2 ) THEN |
---|
| 442 | DO jj = 1, jpjm1 |
---|
| 443 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 444 | IF( amaxu(ji,jj) == 0._wp ) zfu_ups(ji,jj) = 0._wp |
---|
| 445 | IF( amaxv(ji,jj) == 0._wp ) zfv_ups(ji,jj) = 0._wp |
---|
| 446 | END DO |
---|
| 447 | END DO |
---|
[10331] | 448 | ENDIF |
---|
| 449 | |
---|
[10267] | 450 | ! guess after content field with upstream scheme |
---|
| 451 | DO jj = 2, jpjm1 |
---|
| 452 | DO ji = fs_2, fs_jpim1 |
---|
| 453 | ztra = - ( zfu_ups(ji,jj) - zfu_ups(ji-1,jj ) & |
---|
| 454 | & + zfv_ups(ji,jj) - zfv_ups(ji ,jj-1) ) * r1_e1e2t(ji,jj) |
---|
[10399] | 455 | IF( ll_clem ) THEN |
---|
| 456 | IF( ll_gurvan ) THEN |
---|
| 457 | zt_ups(ji,jj) = ( pt (ji,jj) + pdt * ztra ) * tmask(ji,jj,1) |
---|
| 458 | ELSE |
---|
| 459 | 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) & |
---|
| 460 | & + pt(ji,jj) * pdt * ( pv(ji,jj) - pv(ji,jj-1) ) * r1_e1e2t(ji,jj) * (1.-pamsk) ) * tmask(ji,jj,1) |
---|
| 461 | ENDIF |
---|
[10331] | 462 | ELSE |
---|
| 463 | zt_ups(ji,jj) = ( ptc(ji,jj) + pdt * ztra ) * tmask(ji,jj,1) |
---|
| 464 | ENDIF |
---|
[10411] | 465 | !! IF( ji==26 .AND. jj==86) THEN |
---|
| 466 | !! WRITE(numout,*) '**************************' |
---|
| 467 | !! WRITE(numout,*) 'zt upstream',zt_ups(ji,jj) |
---|
| 468 | !! ENDIF |
---|
[10267] | 469 | END DO |
---|
| 470 | END DO |
---|
| 471 | CALL lbc_lnk( zt_ups, 'T', 1. ) |
---|
[10315] | 472 | |
---|
[8586] | 473 | ! High order (_ho) fluxes |
---|
| 474 | ! ----------------------- |
---|
[10267] | 475 | SELECT CASE( kn_umx ) |
---|
[8586] | 476 | ! |
---|
[10267] | 477 | CASE ( 20 ) !== centered second order ==! |
---|
[8586] | 478 | ! |
---|
[10331] | 479 | CALL cen2( pamsk, kn_limiter, jt, kt, pdt, pt, pu, pv, puc, pvc, ptc, zfu_ho, zfv_ho, & |
---|
[10267] | 480 | & zt_ups, zfu_ups, zfv_ups ) |
---|
[8586] | 481 | ! |
---|
[10267] | 482 | CASE ( 1:5 ) !== 1st to 5th order ULTIMATE-MACHO scheme ==! |
---|
| 483 | ! |
---|
[10315] | 484 | 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] | 485 | & zt_ups, zfu_ups, zfv_ups ) |
---|
| 486 | ! |
---|
[8586] | 487 | END SELECT |
---|
[10399] | 488 | |
---|
| 489 | IF( ll_thickness ) THEN |
---|
| 490 | ! final trend with corrected fluxes |
---|
| 491 | ! ------------------------------------ |
---|
| 492 | DO jj = 2, jpjm1 |
---|
| 493 | DO ji = fs_2, fs_jpim1 |
---|
| 494 | IF( ll_gurvan ) THEN |
---|
| 495 | ztra = - ( zfu_ho(ji,jj) - zfu_ho(ji-1,jj) + zfv_ho(ji,jj) - zfv_ho(ji,jj-1) ) * r1_e1e2t(ji,jj) |
---|
| 496 | ELSE |
---|
| 497 | ztra = ( - ( zfu_ho(ji,jj) - zfu_ho(ji-1,jj) + zfv_ho(ji,jj) - zfv_ho(ji,jj-1) ) & |
---|
| 498 | & + ( pt(ji,jj) * ( pu(ji,jj) - pu(ji-1,jj) ) * (1.-pamsk) ) & |
---|
| 499 | & + ( pt(ji,jj) * ( pv(ji,jj) - pv(ji,jj-1) ) * (1.-pamsk) ) ) * r1_e1e2t(ji,jj) |
---|
| 500 | ENDIF |
---|
| 501 | pt(ji,jj) = ( pt(ji,jj) + pdt * ztra ) * tmask(ji,jj,1) |
---|
| 502 | |
---|
| 503 | IF( pt(ji,jj) < -epsi20 ) THEN |
---|
| 504 | WRITE(numout,*) 'T<0 ',pt(ji,jj) |
---|
| 505 | ENDIF |
---|
| 506 | |
---|
| 507 | IF( pt(ji,jj) < 0._wp .AND. pt(ji,jj) >= -epsi20 ) pt(ji,jj) = 0._wp |
---|
| 508 | |
---|
[10411] | 509 | !! IF( ji==26 .AND. jj==86) THEN |
---|
| 510 | !! WRITE(numout,*) 'zt high order',pt(ji,jj) |
---|
| 511 | !! ENDIF |
---|
[10399] | 512 | END DO |
---|
| 513 | END DO |
---|
| 514 | CALL lbc_lnk( pt, 'T', 1. ) |
---|
| 515 | ENDIF |
---|
| 516 | |
---|
| 517 | ! Rachid trick |
---|
| 518 | ! ------------ |
---|
| 519 | IF( ll_clem ) THEN |
---|
| 520 | IF( pamsk == 0. ) THEN |
---|
| 521 | DO jj = 1, jpjm1 |
---|
| 522 | DO ji = 1, fs_jpim1 |
---|
| 523 | IF( ABS( puc(ji,jj) ) > 0._wp .AND. ABS( pu(ji,jj) ) > 0._wp ) THEN |
---|
| 524 | zfu_ho (ji,jj) = zfu_ho (ji,jj) * puc(ji,jj) / pu(ji,jj) |
---|
| 525 | zfu_ups(ji,jj) = zfu_ups(ji,jj) * puc(ji,jj) / pu(ji,jj) |
---|
| 526 | ELSE |
---|
| 527 | zfu_ho (ji,jj) = 0._wp |
---|
| 528 | zfu_ups(ji,jj) = 0._wp |
---|
| 529 | ENDIF |
---|
| 530 | ! |
---|
| 531 | IF( ABS( pvc(ji,jj) ) > 0._wp .AND. ABS( pv(ji,jj) ) > 0._wp ) THEN |
---|
| 532 | zfv_ho (ji,jj) = zfv_ho (ji,jj) * pvc(ji,jj) / pv(ji,jj) |
---|
| 533 | zfv_ups(ji,jj) = zfv_ups(ji,jj) * pvc(ji,jj) / pv(ji,jj) |
---|
| 534 | ELSE |
---|
| 535 | zfv_ho (ji,jj) = 0._wp |
---|
| 536 | zfv_ups(ji,jj) = 0._wp |
---|
| 537 | ENDIF |
---|
| 538 | ENDDO |
---|
| 539 | ENDDO |
---|
| 540 | ENDIF |
---|
| 541 | ENDIF |
---|
| 542 | |
---|
| 543 | IF( ll_zeroup5 ) THEN |
---|
| 544 | DO jj = 2, jpjm1 |
---|
| 545 | DO ji = 2, fs_jpim1 ! vector opt. |
---|
| 546 | zpt(ji,jj) = ( ptc(ji,jj) - ( zfu_ho(ji,jj) - zfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 547 | & - ( zfv_ho(ji,jj) - zfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
| 548 | IF( zpt(ji,jj) < 0. ) THEN |
---|
| 549 | zfu_ho(ji,jj) = zfu_ups(ji,jj) |
---|
| 550 | zfu_ho(ji-1,jj) = zfu_ups(ji-1,jj) |
---|
| 551 | zfv_ho(ji,jj) = zfv_ups(ji,jj) |
---|
| 552 | zfv_ho(ji,jj-1) = zfv_ups(ji,jj-1) |
---|
| 553 | ENDIF |
---|
| 554 | END DO |
---|
| 555 | END DO |
---|
| 556 | CALL lbc_lnk_multi( zfu_ho, 'U', -1., zfv_ho, 'V', -1. ) |
---|
| 557 | ENDIF |
---|
| 558 | |
---|
[10315] | 559 | ! output upstream trend of concentration and high order fluxes |
---|
| 560 | ! ------------------------------------------------------------ |
---|
[10399] | 561 | IF( ll_dens ) THEN |
---|
| 562 | ! high order u*a |
---|
[10267] | 563 | DO jj = 1, jpjm1 |
---|
| 564 | DO ji = 1, fs_jpim1 |
---|
[10315] | 565 | pua_ho (ji,jj) = zfu_ho (ji,jj) |
---|
| 566 | pva_ho (ji,jj) = zfv_ho (ji,jj) |
---|
[10267] | 567 | END DO |
---|
[8586] | 568 | END DO |
---|
[10315] | 569 | !!CALL lbc_lnk( pua_ho, 'U', -1. ) ! clem: not needed I think |
---|
| 570 | !!CALL lbc_lnk( pva_ho, 'V', -1. ) |
---|
[10267] | 571 | ENDIF |
---|
[10399] | 572 | |
---|
| 573 | |
---|
| 574 | IF( .NOT.ll_thickness ) THEN |
---|
| 575 | ! final trend with corrected fluxes |
---|
| 576 | ! ------------------------------------ |
---|
| 577 | DO jj = 2, jpjm1 |
---|
| 578 | DO ji = fs_2, fs_jpim1 |
---|
| 579 | ztra = - ( zfu_ho(ji,jj) - zfu_ho(ji-1,jj) + zfv_ho(ji,jj) - zfv_ho(ji,jj-1) ) & ! Div(uaH) or Div(ua) |
---|
| 580 | & * r1_e1e2t(ji,jj) * pdt |
---|
| 581 | |
---|
| 582 | !!IF( ptc(ji,jj)+ztra < 0._wp ) THEN |
---|
| 583 | !! ztra = - ( zfu_ups(ji,jj) - zfu_ups(ji-1,jj) + zfv_ups(ji,jj) - zfv_ups(ji,jj-1) ) & ! Div(uaH) or Div(ua) |
---|
| 584 | !! & * r1_e1e2t(ji,jj) * pdt |
---|
| 585 | !!ENDIF |
---|
| 586 | !!IF( ptc(ji,jj)+ztra < 0._wp ) THEN |
---|
| 587 | !! WRITE(numout,*) 'Tc<0 ',ptc(ji,jj)+ztra |
---|
| 588 | !! ztra = 0._wp |
---|
| 589 | !!ENDIF |
---|
| 590 | |
---|
| 591 | ptc(ji,jj) = ( ptc(ji,jj) + ztra ) * tmask(ji,jj,1) |
---|
| 592 | |
---|
[10411] | 593 | !! IF( ji==26 .AND. jj==86) THEN |
---|
| 594 | !! WRITE(numout,*) 'ztc high order',ptc(ji,jj) |
---|
| 595 | !! ENDIF |
---|
[10399] | 596 | |
---|
| 597 | END DO |
---|
| 598 | END DO |
---|
| 599 | CALL lbc_lnk( ptc, 'T', 1. ) |
---|
| 600 | ENDIF |
---|
[8586] | 601 | |
---|
| 602 | ! |
---|
| 603 | END SUBROUTINE adv_umx |
---|
| 604 | |
---|
[10331] | 605 | SUBROUTINE cen2( pamsk, kn_limiter, jt, kt, pdt, pt, pu, pv, puc, pvc, ptc, pfu_ho, pfv_ho, & |
---|
[10267] | 606 | & pt_ups, pfu_ups, pfv_ups ) |
---|
| 607 | !!--------------------------------------------------------------------- |
---|
| 608 | !! *** ROUTINE macho *** |
---|
| 609 | !! |
---|
| 610 | !! ** Purpose : compute |
---|
| 611 | !! |
---|
| 612 | !! ** Method : ... ??? |
---|
| 613 | !! TIM = transient interpolation Modeling |
---|
| 614 | !! |
---|
| 615 | !! Reference : Leonard, B.P., 1991, Comput. Methods Appl. Mech. Eng., 88, 17-74. |
---|
| 616 | !!---------------------------------------------------------------------- |
---|
[10331] | 617 | REAL(wp) , INTENT(in ) :: pamsk ! advection of concentration (1) or other tracers (0) |
---|
[10267] | 618 | INTEGER , INTENT(in ) :: kn_limiter ! limiter |
---|
| 619 | INTEGER , INTENT(in ) :: jt ! number of sub-iteration |
---|
| 620 | INTEGER , INTENT(in ) :: kt ! number of iteration |
---|
| 621 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
| 622 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pt ! tracer fields |
---|
| 623 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pu, pv ! 2 ice velocity components |
---|
| 624 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: puc, pvc ! 2 ice velocity * A components |
---|
| 625 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: ptc ! tracer content at before time step |
---|
| 626 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pfu_ho, pfv_ho ! high order fluxes |
---|
| 627 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pt_ups ! upstream guess of tracer content |
---|
[10331] | 628 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: pfu_ups, pfv_ups ! upstream fluxes |
---|
[10267] | 629 | ! |
---|
| 630 | INTEGER :: ji, jj ! dummy loop indices |
---|
| 631 | LOGICAL :: ll_xy = .TRUE. |
---|
| 632 | REAL(wp), DIMENSION(jpi,jpj) :: zzt |
---|
| 633 | !!---------------------------------------------------------------------- |
---|
| 634 | ! |
---|
| 635 | IF( .NOT.ll_xy ) THEN !-- no alternate directions --! |
---|
| 636 | ! |
---|
| 637 | DO jj = 1, jpjm1 |
---|
| 638 | DO ji = 1, fs_jpim1 |
---|
| 639 | pfu_ho(ji,jj) = 0.5 * puc(ji,jj) * ( pt(ji,jj) + pt(ji+1,jj) ) |
---|
| 640 | pfv_ho(ji,jj) = 0.5 * pvc(ji,jj) * ( pt(ji,jj) + pt(ji,jj+1) ) |
---|
| 641 | END DO |
---|
| 642 | END DO |
---|
| 643 | IF ( kn_limiter == 1 ) THEN |
---|
[10399] | 644 | IF( ll_clem ) THEN |
---|
| 645 | CALL nonosc_2d( pamsk, pdt, pu, puc, pv, pvc, ptc, pt, pt_ups, pfu_ups, pfv_ups, pfu_ho, pfv_ho ) |
---|
| 646 | ELSE |
---|
| 647 | CALL nonosc_2d( pamsk, pdt, pu, puc, pv, pvc, ptc, ptc, pt_ups, pfu_ups, pfv_ups, pfu_ho, pfv_ho ) |
---|
| 648 | ENDIF |
---|
[10267] | 649 | ELSEIF( kn_limiter == 2 ) THEN |
---|
| 650 | CALL limiter_x( pdt, pu, puc, pt, pfu_ho ) |
---|
| 651 | CALL limiter_y( pdt, pv, pvc, pt, pfv_ho ) |
---|
| 652 | ELSEIF( kn_limiter == 3 ) THEN |
---|
| 653 | CALL limiter_x( pdt, pu, puc, pt, pfu_ho, pfu_ups ) |
---|
| 654 | CALL limiter_y( pdt, pv, pvc, pt, pfv_ho, pfv_ups ) |
---|
| 655 | ENDIF |
---|
| 656 | ! |
---|
| 657 | ELSE !-- alternate directions --! |
---|
| 658 | ! |
---|
[10399] | 659 | IF( pamsk == 1. ) z1_ai(:,:) = 1._wp |
---|
| 660 | ! |
---|
[10267] | 661 | IF( MOD( (kt - 1) / nn_fsbc , 2 ) == MOD( (jt - 1) , 2 ) ) THEN !== odd ice time step: adv_x then adv_y ==! |
---|
| 662 | ! |
---|
| 663 | ! flux in x-direction |
---|
| 664 | DO jj = 1, jpjm1 |
---|
| 665 | DO ji = 1, fs_jpim1 |
---|
| 666 | pfu_ho(ji,jj) = 0.5 * puc(ji,jj) * ( pt(ji,jj) + pt(ji+1,jj) ) |
---|
| 667 | END DO |
---|
| 668 | END DO |
---|
| 669 | IF( kn_limiter == 2 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho ) |
---|
| 670 | IF( kn_limiter == 3 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho, pfu_ups ) |
---|
[8586] | 671 | |
---|
[10267] | 672 | ! first guess of tracer content from u-flux |
---|
| 673 | DO jj = 2, jpjm1 |
---|
| 674 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[10399] | 675 | IF( ll_clem ) THEN |
---|
| 676 | 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) |
---|
| 677 | ELSE |
---|
| 678 | 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) |
---|
| 679 | ENDIF |
---|
[10267] | 680 | END DO |
---|
| 681 | END DO |
---|
| 682 | CALL lbc_lnk( zzt, 'T', 1. ) |
---|
| 683 | |
---|
| 684 | ! flux in y-direction |
---|
| 685 | DO jj = 1, jpjm1 |
---|
| 686 | DO ji = 1, fs_jpim1 |
---|
[10399] | 687 | pfv_ho(ji,jj) = 0.5 * pvc(ji,jj) * ( zzt(ji,jj) + zzt(ji,jj+1) ) |
---|
[10267] | 688 | END DO |
---|
| 689 | END DO |
---|
| 690 | IF( kn_limiter == 2 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho ) |
---|
| 691 | IF( kn_limiter == 3 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho, pfv_ups ) |
---|
| 692 | |
---|
| 693 | ELSE !== even ice time step: adv_y then adv_x ==! |
---|
| 694 | ! |
---|
| 695 | ! flux in y-direction |
---|
| 696 | DO jj = 1, jpjm1 |
---|
| 697 | DO ji = 1, fs_jpim1 |
---|
| 698 | pfv_ho(ji,jj) = 0.5 * pvc(ji,jj) * ( pt(ji,jj) + pt(ji,jj+1) ) |
---|
| 699 | END DO |
---|
| 700 | END DO |
---|
| 701 | IF( kn_limiter == 2 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho ) |
---|
| 702 | IF( kn_limiter == 3 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho, pfv_ups ) |
---|
| 703 | ! |
---|
| 704 | ! first guess of tracer content from v-flux |
---|
| 705 | DO jj = 2, jpjm1 |
---|
| 706 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[10399] | 707 | IF( ll_clem ) THEN |
---|
| 708 | 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) |
---|
| 709 | ELSE |
---|
| 710 | 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) |
---|
| 711 | ENDIF |
---|
[10267] | 712 | END DO |
---|
| 713 | END DO |
---|
| 714 | CALL lbc_lnk( zzt, 'T', 1. ) |
---|
| 715 | ! |
---|
| 716 | ! flux in x-direction |
---|
| 717 | DO jj = 1, jpjm1 |
---|
| 718 | DO ji = 1, fs_jpim1 |
---|
[10399] | 719 | pfu_ho(ji,jj) = 0.5 * puc(ji,jj) * ( zzt(ji,jj) + zzt(ji+1,jj) ) |
---|
[10267] | 720 | END DO |
---|
| 721 | END DO |
---|
| 722 | IF( kn_limiter == 2 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho ) |
---|
| 723 | IF( kn_limiter == 3 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho, pfu_ups ) |
---|
| 724 | |
---|
| 725 | ENDIF |
---|
[10399] | 726 | IF( ll_clem ) THEN |
---|
| 727 | 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 ) |
---|
| 728 | ELSE |
---|
| 729 | 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 ) |
---|
| 730 | ENDIF |
---|
[10267] | 731 | |
---|
| 732 | ENDIF |
---|
| 733 | |
---|
| 734 | END SUBROUTINE cen2 |
---|
| 735 | |
---|
| 736 | |
---|
| 737 | 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, & |
---|
| 738 | & pt_ups, pfu_ups, pfv_ups ) |
---|
[8586] | 739 | !!--------------------------------------------------------------------- |
---|
[10267] | 740 | !! *** ROUTINE macho *** |
---|
[8586] | 741 | !! |
---|
| 742 | !! ** Purpose : compute |
---|
| 743 | !! |
---|
| 744 | !! ** Method : ... ??? |
---|
| 745 | !! TIM = transient interpolation Modeling |
---|
| 746 | !! |
---|
| 747 | !! Reference : Leonard, B.P., 1991, Comput. Methods Appl. Mech. Eng., 88, 17-74. |
---|
| 748 | !!---------------------------------------------------------------------- |
---|
[10267] | 749 | REAL(wp) , INTENT(in ) :: pamsk ! advection of concentration (1) or other tracers (0) |
---|
| 750 | INTEGER , INTENT(in ) :: kn_limiter ! limiter |
---|
| 751 | INTEGER , INTENT(in ) :: kn_umx ! order of the scheme (1-5=UM or 20=CEN2) |
---|
| 752 | INTEGER , INTENT(in ) :: jt ! number of sub-iteration |
---|
| 753 | INTEGER , INTENT(in ) :: kt ! number of iteration |
---|
| 754 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
| 755 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pt ! tracer fields |
---|
| 756 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pu, pv ! 2 ice velocity components |
---|
| 757 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: puc, pvc ! 2 ice velocity * A components |
---|
| 758 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pubox, pvbox ! upstream velocity |
---|
| 759 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: ptc ! tracer content at before time step |
---|
| 760 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pt_u, pt_v ! tracer at u- and v-points |
---|
| 761 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pfu_ho, pfv_ho ! high order fluxes |
---|
| 762 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pt_ups ! upstream guess of tracer content |
---|
[10331] | 763 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: pfu_ups, pfv_ups ! upstream fluxes |
---|
[8586] | 764 | ! |
---|
| 765 | INTEGER :: ji, jj ! dummy loop indices |
---|
[10315] | 766 | REAL(wp) :: ztra |
---|
| 767 | REAL(wp), DIMENSION(jpi,jpj) :: zzt, zzfu_ho, zzfv_ho |
---|
[8586] | 768 | !!---------------------------------------------------------------------- |
---|
| 769 | ! |
---|
[10267] | 770 | IF( MOD( (kt - 1) / nn_fsbc , 2 ) == MOD( (jt - 1) , 2 ) ) THEN !== odd ice time step: adv_x then adv_y ==! |
---|
[8586] | 771 | ! |
---|
[10267] | 772 | ! !-- ultimate interpolation of pt at u-point --! |
---|
| 773 | CALL ultimate_x( kn_umx, pdt, pt, pu, puc, pt_u, pfu_ho ) |
---|
| 774 | ! !-- limiter in x --! |
---|
| 775 | IF( kn_limiter == 2 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho ) |
---|
| 776 | IF( kn_limiter == 3 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho, pfu_ups ) |
---|
| 777 | ! !-- advective form update in zzt --! |
---|
[10399] | 778 | |
---|
| 779 | IF( ll_1stguess_clem ) THEN |
---|
| 780 | |
---|
| 781 | ! first guess of tracer content from u-flux |
---|
| 782 | DO jj = 2, jpjm1 |
---|
| 783 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 784 | IF( ll_clem ) THEN |
---|
| 785 | IF( ll_gurvan ) THEN |
---|
| 786 | zzt(ji,jj) = ( pt(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
| 787 | ELSE |
---|
| 788 | zzt(ji,jj) = ( pt(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 789 | & + pt(ji,jj) * pdt * ( pu(ji,jj) - pu(ji-1,jj) ) * r1_e1e2t(ji,jj) * (1.-pamsk) ) * tmask(ji,jj,1) |
---|
| 790 | ENDIF |
---|
| 791 | ELSE |
---|
| 792 | zzt(ji,jj) = ( ptc(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
| 793 | ENDIF |
---|
| 794 | END DO |
---|
[8586] | 795 | END DO |
---|
[10399] | 796 | CALL lbc_lnk( zzt, 'T', 1. ) |
---|
| 797 | |
---|
| 798 | ELSE |
---|
| 799 | |
---|
| 800 | DO jj = 2, jpjm1 |
---|
| 801 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 802 | IF( ll_gurvan ) THEN |
---|
| 803 | zzt(ji,jj) = pt(ji,jj) - pubox(ji,jj) * pdt * ( pt_u(ji,jj) - pt_u(ji-1,jj) ) * r1_e1t(ji,jj) & |
---|
| 804 | & - pt (ji,jj) * pdt * ( pu (ji,jj) - pu (ji-1,jj) ) * r1_e1e2t(ji,jj) |
---|
| 805 | ELSE |
---|
| 806 | zzt(ji,jj) = pt(ji,jj) - pubox(ji,jj) * pdt * ( pt_u(ji,jj) - pt_u(ji-1,jj) ) * r1_e1t(ji,jj) & |
---|
| 807 | & - pt (ji,jj) * pdt * ( pu (ji,jj) - pu (ji-1,jj) ) * r1_e1e2t(ji,jj) * pamsk |
---|
| 808 | ENDIF |
---|
| 809 | zzt(ji,jj) = zzt(ji,jj) * tmask(ji,jj,1) |
---|
| 810 | END DO |
---|
| 811 | END DO |
---|
| 812 | CALL lbc_lnk( zzt, 'T', 1. ) |
---|
| 813 | ENDIF |
---|
| 814 | ! |
---|
[10267] | 815 | ! !-- ultimate interpolation of pt at v-point --! |
---|
[10399] | 816 | IF( ll_hoxy ) THEN |
---|
| 817 | CALL ultimate_y( kn_umx, pdt, zzt, pv, pvc, pt_v, pfv_ho ) |
---|
| 818 | ELSE |
---|
| 819 | CALL ultimate_y( kn_umx, pdt, pt, pv, pvc, pt_v, pfv_ho ) |
---|
| 820 | ENDIF |
---|
[10267] | 821 | ! !-- limiter in y --! |
---|
| 822 | IF( kn_limiter == 2 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho ) |
---|
| 823 | IF( kn_limiter == 3 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho, pfv_ups ) |
---|
[10399] | 824 | ! |
---|
[8586] | 825 | ! |
---|
[10267] | 826 | ELSE !== even ice time step: adv_y then adv_x ==! |
---|
[8586] | 827 | ! |
---|
[10267] | 828 | ! !-- ultimate interpolation of pt at v-point --! |
---|
| 829 | CALL ultimate_y( kn_umx, pdt, pt, pv, pvc, pt_v, pfv_ho ) |
---|
| 830 | ! !-- limiter in y --! |
---|
| 831 | IF( kn_limiter == 2 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho ) |
---|
| 832 | IF( kn_limiter == 3 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho, pfv_ups ) |
---|
| 833 | ! !-- advective form update in zzt --! |
---|
[10399] | 834 | IF( ll_1stguess_clem ) THEN |
---|
| 835 | |
---|
| 836 | ! first guess of tracer content from v-flux |
---|
| 837 | DO jj = 2, jpjm1 |
---|
| 838 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 839 | IF( ll_clem ) THEN |
---|
| 840 | IF( ll_gurvan ) THEN |
---|
| 841 | zzt(ji,jj) = ( pt(ji,jj) - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
| 842 | ELSE |
---|
| 843 | zzt(ji,jj) = ( pt(ji,jj) - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 844 | & + pt(ji,jj) * pdt * ( pv(ji,jj) - pv(ji,jj-1) ) * r1_e1e2t(ji,jj) * (1.-pamsk) ) * tmask(ji,jj,1) |
---|
| 845 | ENDIF |
---|
| 846 | ELSE |
---|
| 847 | zzt(ji,jj) = ( ptc(ji,jj) - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) ) & |
---|
| 848 | & * tmask(ji,jj,1) |
---|
| 849 | ENDIF |
---|
| 850 | END DO |
---|
[8586] | 851 | END DO |
---|
[10399] | 852 | CALL lbc_lnk( zzt, 'T', 1. ) |
---|
| 853 | |
---|
| 854 | ELSE |
---|
| 855 | |
---|
| 856 | DO jj = 2, jpjm1 |
---|
| 857 | DO ji = fs_2, fs_jpim1 |
---|
| 858 | IF( ll_gurvan ) THEN |
---|
| 859 | zzt(ji,jj) = pt(ji,jj) - pvbox(ji,jj) * pdt * ( pt_v(ji,jj) - pt_v(ji,jj-1) ) * r1_e2t(ji,jj) & |
---|
| 860 | & - pt (ji,jj) * pdt * ( pv (ji,jj) - pv (ji,jj-1) ) * r1_e1e2t(ji,jj) |
---|
| 861 | ELSE |
---|
| 862 | zzt(ji,jj) = pt(ji,jj) - pvbox(ji,jj) * pdt * ( pt_v(ji,jj) - pt_v(ji,jj-1) ) * r1_e2t(ji,jj) & |
---|
| 863 | & - pt (ji,jj) * pdt * ( pv (ji,jj) - pv (ji,jj-1) ) * r1_e1e2t(ji,jj) * pamsk |
---|
| 864 | ENDIF |
---|
| 865 | zzt(ji,jj) = zzt(ji,jj) * tmask(ji,jj,1) |
---|
| 866 | END DO |
---|
| 867 | END DO |
---|
| 868 | CALL lbc_lnk( zzt, 'T', 1. ) |
---|
| 869 | ENDIF |
---|
| 870 | ! |
---|
[10267] | 871 | ! !-- ultimate interpolation of pt at u-point --! |
---|
[10399] | 872 | IF( ll_hoxy ) THEN |
---|
| 873 | CALL ultimate_x( kn_umx, pdt, zzt, pu, puc, pt_u, pfu_ho ) |
---|
| 874 | ELSE |
---|
| 875 | CALL ultimate_x( kn_umx, pdt, pt, pu, puc, pt_u, pfu_ho ) |
---|
| 876 | ENDIF |
---|
[10267] | 877 | ! !-- limiter in x --! |
---|
| 878 | IF( kn_limiter == 2 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho ) |
---|
| 879 | IF( kn_limiter == 3 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho, pfu_ups ) |
---|
[8586] | 880 | ! |
---|
[10399] | 881 | ! |
---|
[10267] | 882 | ENDIF |
---|
[10399] | 883 | |
---|
| 884 | |
---|
[10315] | 885 | IF( kn_limiter == 1 ) THEN |
---|
| 886 | IF( .NOT. ll_limiter_it2 ) THEN |
---|
[10399] | 887 | IF( ll_clem ) THEN |
---|
| 888 | CALL nonosc_2d ( pamsk, pdt, pu, puc, pv, pvc, ptc, pt, pt_ups, pfu_ups, pfv_ups, pfu_ho, pfv_ho ) |
---|
| 889 | ELSE |
---|
| 890 | CALL nonosc_2d ( pamsk, pdt, pu, puc, pv, pvc, ptc, ptc, pt_ups, pfu_ups, pfv_ups, pfu_ho, pfv_ho ) |
---|
| 891 | ENDIF |
---|
[10315] | 892 | ELSE |
---|
| 893 | zzfu_ho(:,:) = pfu_ho(:,:) |
---|
| 894 | zzfv_ho(:,:) = pfv_ho(:,:) |
---|
| 895 | ! 1st iteration of nonosc (limit the flux with the upstream solution) |
---|
[10399] | 896 | IF( ll_clem ) THEN |
---|
| 897 | CALL nonosc_2d ( pamsk, pdt, pu, puc, pv, pvc, ptc, pt, pt_ups, pfu_ups, pfv_ups, zzfu_ho, zzfv_ho ) |
---|
| 898 | ELSE |
---|
| 899 | CALL nonosc_2d ( pamsk, pdt, pu, puc, pv, pvc, ptc, ptc, pt_ups, pfu_ups, pfv_ups, zzfu_ho, zzfv_ho ) |
---|
| 900 | ENDIF |
---|
[10315] | 901 | ! guess after content field with high order |
---|
| 902 | DO jj = 2, jpjm1 |
---|
| 903 | DO ji = fs_2, fs_jpim1 |
---|
| 904 | ztra = - ( zzfu_ho(ji,jj) - zzfu_ho(ji-1,jj) + zzfv_ho(ji,jj) - zzfv_ho(ji,jj-1) ) * r1_e1e2t(ji,jj) |
---|
| 905 | zzt(ji,jj) = ( ptc(ji,jj) + pdt * ztra ) * tmask(ji,jj,1) |
---|
| 906 | END DO |
---|
| 907 | END DO |
---|
| 908 | CALL lbc_lnk( zzt, 'T', 1. ) |
---|
| 909 | ! 2nd iteration of nonosc (limit the flux with the limited high order solution) |
---|
[10399] | 910 | IF( ll_clem ) THEN |
---|
| 911 | CALL nonosc_2d ( pamsk, pdt, pu, puc, pv, pvc, ptc, pt, zzt, zzfu_ho, zzfv_ho, pfu_ho, pfv_ho ) |
---|
| 912 | ELSE |
---|
| 913 | CALL nonosc_2d ( pamsk, pdt, pu, puc, pv, pvc, ptc, ptc, zzt, zzfu_ho, zzfv_ho, pfu_ho, pfv_ho ) |
---|
| 914 | ENDIF |
---|
[10315] | 915 | ENDIF |
---|
| 916 | ENDIF |
---|
[8586] | 917 | ! |
---|
| 918 | END SUBROUTINE macho |
---|
| 919 | |
---|
| 920 | |
---|
[10267] | 921 | SUBROUTINE ultimate_x( kn_umx, pdt, pt, pu, puc, pt_u, pfu_ho ) |
---|
[8586] | 922 | !!--------------------------------------------------------------------- |
---|
| 923 | !! *** ROUTINE ultimate_x *** |
---|
| 924 | !! |
---|
| 925 | !! ** Purpose : compute |
---|
| 926 | !! |
---|
| 927 | !! ** Method : ... ??? |
---|
| 928 | !! TIM = transient interpolation Modeling |
---|
| 929 | !! |
---|
| 930 | !! Reference : Leonard, B.P., 1991, Comput. Methods Appl. Mech. Eng., 88, 17-74. |
---|
| 931 | !!---------------------------------------------------------------------- |
---|
[10267] | 932 | INTEGER , INTENT(in ) :: kn_umx ! order of the scheme (1-5=UM or 20=CEN2) |
---|
[8586] | 933 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
[10267] | 934 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pu ! ice i-velocity component |
---|
| 935 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: puc ! ice i-velocity * A component |
---|
[8586] | 936 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pt ! tracer fields |
---|
| 937 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pt_u ! tracer at u-point |
---|
[10267] | 938 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pfu_ho ! high order flux |
---|
[8586] | 939 | ! |
---|
[10267] | 940 | INTEGER :: ji, jj ! dummy loop indices |
---|
[8586] | 941 | REAL(wp) :: zcu, zdx2, zdx4 ! - - |
---|
[10267] | 942 | REAL(wp), DIMENSION(jpi,jpj) :: ztu1, ztu2, ztu3, ztu4 |
---|
[8586] | 943 | !!---------------------------------------------------------------------- |
---|
| 944 | ! |
---|
| 945 | ! !-- Laplacian in i-direction --! |
---|
| 946 | DO jj = 2, jpjm1 ! First derivative (gradient) |
---|
| 947 | DO ji = 1, fs_jpim1 |
---|
| 948 | ztu1(ji,jj) = ( pt(ji+1,jj) - pt(ji,jj) ) * r1_e1u(ji,jj) * umask(ji,jj,1) |
---|
| 949 | END DO |
---|
| 950 | ! ! Second derivative (Laplacian) |
---|
| 951 | DO ji = fs_2, fs_jpim1 |
---|
| 952 | ztu2(ji,jj) = ( ztu1(ji,jj) - ztu1(ji-1,jj) ) * r1_e1t(ji,jj) |
---|
| 953 | END DO |
---|
| 954 | END DO |
---|
| 955 | CALL lbc_lnk( ztu2, 'T', 1. ) |
---|
| 956 | ! |
---|
| 957 | ! !-- BiLaplacian in i-direction --! |
---|
| 958 | DO jj = 2, jpjm1 ! Third derivative |
---|
| 959 | DO ji = 1, fs_jpim1 |
---|
| 960 | ztu3(ji,jj) = ( ztu2(ji+1,jj) - ztu2(ji,jj) ) * r1_e1u(ji,jj) * umask(ji,jj,1) |
---|
| 961 | END DO |
---|
| 962 | ! ! Fourth derivative |
---|
| 963 | DO ji = fs_2, fs_jpim1 |
---|
| 964 | ztu4(ji,jj) = ( ztu3(ji,jj) - ztu3(ji-1,jj) ) * r1_e1t(ji,jj) |
---|
| 965 | END DO |
---|
| 966 | END DO |
---|
| 967 | CALL lbc_lnk( ztu4, 'T', 1. ) |
---|
| 968 | ! |
---|
| 969 | ! |
---|
[10267] | 970 | SELECT CASE (kn_umx ) |
---|
[8586] | 971 | ! |
---|
| 972 | CASE( 1 ) !== 1st order central TIM ==! (Eq. 21) |
---|
| 973 | ! |
---|
[10399] | 974 | DO jj = 1, jpjm1 |
---|
[8586] | 975 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10267] | 976 | pt_u(ji,jj) = 0.5_wp * umask(ji,jj,1) * ( pt(ji+1,jj) + pt(ji,jj) & |
---|
| 977 | & - SIGN( 1._wp, pu(ji,jj) ) * ( pt(ji+1,jj) - pt(ji,jj) ) ) |
---|
[8586] | 978 | END DO |
---|
| 979 | END DO |
---|
| 980 | ! |
---|
| 981 | CASE( 2 ) !== 2nd order central TIM ==! (Eq. 23) |
---|
| 982 | ! |
---|
[10399] | 983 | DO jj = 1, jpjm1 |
---|
[8586] | 984 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10267] | 985 | zcu = pu(ji,jj) * r1_e2u(ji,jj) * pdt * r1_e1u(ji,jj) |
---|
[8586] | 986 | pt_u(ji,jj) = 0.5_wp * umask(ji,jj,1) * ( pt(ji+1,jj) + pt(ji,jj) & |
---|
| 987 | & - zcu * ( pt(ji+1,jj) - pt(ji,jj) ) ) |
---|
| 988 | END DO |
---|
| 989 | END DO |
---|
| 990 | ! |
---|
| 991 | CASE( 3 ) !== 3rd order central TIM ==! (Eq. 24) |
---|
| 992 | ! |
---|
[10399] | 993 | DO jj = 1, jpjm1 |
---|
[8586] | 994 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10267] | 995 | zcu = pu(ji,jj) * r1_e2u(ji,jj) * pdt * r1_e1u(ji,jj) |
---|
[8586] | 996 | zdx2 = e1u(ji,jj) * e1u(ji,jj) |
---|
| 997 | !!rachid zdx2 = e1u(ji,jj) * e1t(ji,jj) |
---|
| 998 | pt_u(ji,jj) = 0.5_wp * umask(ji,jj,1) * ( ( pt (ji+1,jj) + pt (ji,jj) & |
---|
| 999 | & - zcu * ( pt (ji+1,jj) - pt (ji,jj) ) ) & |
---|
| 1000 | & + z1_6 * zdx2 * ( zcu*zcu - 1._wp ) * ( ztu2(ji+1,jj) + ztu2(ji,jj) & |
---|
| 1001 | & - SIGN( 1._wp, zcu ) * ( ztu2(ji+1,jj) - ztu2(ji,jj) ) ) ) |
---|
| 1002 | END DO |
---|
| 1003 | END DO |
---|
| 1004 | ! |
---|
| 1005 | CASE( 4 ) !== 4th order central TIM ==! (Eq. 27) |
---|
| 1006 | ! |
---|
[10399] | 1007 | DO jj = 1, jpjm1 |
---|
[8586] | 1008 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10267] | 1009 | zcu = pu(ji,jj) * r1_e2u(ji,jj) * pdt * r1_e1u(ji,jj) |
---|
[8586] | 1010 | zdx2 = e1u(ji,jj) * e1u(ji,jj) |
---|
| 1011 | !!rachid zdx2 = e1u(ji,jj) * e1t(ji,jj) |
---|
| 1012 | pt_u(ji,jj) = 0.5_wp * umask(ji,jj,1) * ( ( pt (ji+1,jj) + pt (ji,jj) & |
---|
| 1013 | & - zcu * ( pt (ji+1,jj) - pt (ji,jj) ) ) & |
---|
| 1014 | & + z1_6 * zdx2 * ( zcu*zcu - 1._wp ) * ( ztu2(ji+1,jj) + ztu2(ji,jj) & |
---|
| 1015 | & - 0.5_wp * zcu * ( ztu2(ji+1,jj) - ztu2(ji,jj) ) ) ) |
---|
| 1016 | END DO |
---|
| 1017 | END DO |
---|
| 1018 | ! |
---|
| 1019 | CASE( 5 ) !== 5th order central TIM ==! (Eq. 29) |
---|
| 1020 | ! |
---|
[10399] | 1021 | DO jj = 1, jpjm1 |
---|
[8586] | 1022 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10267] | 1023 | zcu = pu(ji,jj) * r1_e2u(ji,jj) * pdt * r1_e1u(ji,jj) |
---|
[8586] | 1024 | zdx2 = e1u(ji,jj) * e1u(ji,jj) |
---|
| 1025 | !!rachid zdx2 = e1u(ji,jj) * e1t(ji,jj) |
---|
| 1026 | zdx4 = zdx2 * zdx2 |
---|
| 1027 | pt_u(ji,jj) = 0.5_wp * umask(ji,jj,1) * ( ( pt (ji+1,jj) + pt (ji,jj) & |
---|
| 1028 | & - zcu * ( pt (ji+1,jj) - pt (ji,jj) ) ) & |
---|
| 1029 | & + z1_6 * zdx2 * ( zcu*zcu - 1._wp ) * ( ztu2(ji+1,jj) + ztu2(ji,jj) & |
---|
| 1030 | & - 0.5_wp * zcu * ( ztu2(ji+1,jj) - ztu2(ji,jj) ) ) & |
---|
| 1031 | & + z1_120 * zdx4 * ( zcu*zcu - 1._wp ) * ( zcu*zcu - 4._wp ) * ( ztu4(ji+1,jj) + ztu4(ji,jj) & |
---|
| 1032 | & - SIGN( 1._wp, zcu ) * ( ztu4(ji+1,jj) - ztu4(ji,jj) ) ) ) |
---|
| 1033 | END DO |
---|
| 1034 | END DO |
---|
| 1035 | ! |
---|
| 1036 | END SELECT |
---|
[10267] | 1037 | ! !-- High order flux in i-direction --! |
---|
[10399] | 1038 | IF( ll_neg ) THEN |
---|
| 1039 | DO jj = 1, jpjm1 |
---|
| 1040 | DO ji = 1, fs_jpim1 |
---|
| 1041 | IF( pt_u(ji,jj) < 0._wp ) THEN |
---|
| 1042 | pt_u(ji,jj) = 0.5_wp * umask(ji,jj,1) * ( pt(ji+1,jj) + pt(ji,jj) & |
---|
| 1043 | & - SIGN( 1._wp, pu(ji,jj) ) * ( pt(ji+1,jj) - pt(ji,jj) ) ) |
---|
| 1044 | ENDIF |
---|
| 1045 | END DO |
---|
| 1046 | END DO |
---|
| 1047 | ENDIF |
---|
| 1048 | |
---|
[10267] | 1049 | DO jj = 1, jpjm1 |
---|
| 1050 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10399] | 1051 | IF( ll_clem ) THEN |
---|
| 1052 | pfu_ho(ji,jj) = pu(ji,jj) * pt_u(ji,jj) |
---|
| 1053 | ELSE |
---|
| 1054 | pfu_ho(ji,jj) = puc(ji,jj) * pt_u(ji,jj) |
---|
| 1055 | ENDIF |
---|
[10267] | 1056 | END DO |
---|
| 1057 | END DO |
---|
[8586] | 1058 | ! |
---|
| 1059 | END SUBROUTINE ultimate_x |
---|
| 1060 | |
---|
| 1061 | |
---|
[10267] | 1062 | SUBROUTINE ultimate_y( kn_umx, pdt, pt, pv, pvc, pt_v, pfv_ho ) |
---|
[8586] | 1063 | !!--------------------------------------------------------------------- |
---|
| 1064 | !! *** ROUTINE ultimate_y *** |
---|
| 1065 | !! |
---|
| 1066 | !! ** Purpose : compute |
---|
| 1067 | !! |
---|
| 1068 | !! ** Method : ... ??? |
---|
| 1069 | !! TIM = transient interpolation Modeling |
---|
| 1070 | !! |
---|
| 1071 | !! Reference : Leonard, B.P., 1991, Comput. Methods Appl. Mech. Eng., 88, 17-74. |
---|
| 1072 | !!---------------------------------------------------------------------- |
---|
[10267] | 1073 | INTEGER , INTENT(in ) :: kn_umx ! order of the scheme (1-5=UM or 20=CEN2) |
---|
[8586] | 1074 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
[10267] | 1075 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pv ! ice j-velocity component |
---|
| 1076 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pvc ! ice j-velocity*A component |
---|
[8586] | 1077 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pt ! tracer fields |
---|
| 1078 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pt_v ! tracer at v-point |
---|
[10267] | 1079 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pfv_ho ! high order flux |
---|
[8586] | 1080 | ! |
---|
| 1081 | INTEGER :: ji, jj ! dummy loop indices |
---|
| 1082 | REAL(wp) :: zcv, zdy2, zdy4 ! - - |
---|
[10267] | 1083 | REAL(wp), DIMENSION(jpi,jpj) :: ztv1, ztv2, ztv3, ztv4 |
---|
[8586] | 1084 | !!---------------------------------------------------------------------- |
---|
| 1085 | ! |
---|
| 1086 | ! !-- Laplacian in j-direction --! |
---|
| 1087 | DO jj = 1, jpjm1 ! First derivative (gradient) |
---|
| 1088 | DO ji = fs_2, fs_jpim1 |
---|
| 1089 | ztv1(ji,jj) = ( pt(ji,jj+1) - pt(ji,jj) ) * r1_e2v(ji,jj) * vmask(ji,jj,1) |
---|
| 1090 | END DO |
---|
| 1091 | END DO |
---|
| 1092 | DO jj = 2, jpjm1 ! Second derivative (Laplacian) |
---|
| 1093 | DO ji = fs_2, fs_jpim1 |
---|
| 1094 | ztv2(ji,jj) = ( ztv1(ji,jj) - ztv1(ji,jj-1) ) * r1_e2t(ji,jj) |
---|
| 1095 | END DO |
---|
| 1096 | END DO |
---|
| 1097 | CALL lbc_lnk( ztv2, 'T', 1. ) |
---|
| 1098 | ! |
---|
| 1099 | ! !-- BiLaplacian in j-direction --! |
---|
| 1100 | DO jj = 1, jpjm1 ! First derivative |
---|
| 1101 | DO ji = fs_2, fs_jpim1 |
---|
| 1102 | ztv3(ji,jj) = ( ztv2(ji,jj+1) - ztv2(ji,jj) ) * r1_e2v(ji,jj) * vmask(ji,jj,1) |
---|
| 1103 | END DO |
---|
| 1104 | END DO |
---|
| 1105 | DO jj = 2, jpjm1 ! Second derivative |
---|
| 1106 | DO ji = fs_2, fs_jpim1 |
---|
| 1107 | ztv4(ji,jj) = ( ztv3(ji,jj) - ztv3(ji,jj-1) ) * r1_e2t(ji,jj) |
---|
| 1108 | END DO |
---|
| 1109 | END DO |
---|
| 1110 | CALL lbc_lnk( ztv4, 'T', 1. ) |
---|
| 1111 | ! |
---|
| 1112 | ! |
---|
[10267] | 1113 | SELECT CASE (kn_umx ) |
---|
[8586] | 1114 | ! |
---|
| 1115 | CASE( 1 ) !== 1st order central TIM ==! (Eq. 21) |
---|
| 1116 | DO jj = 1, jpjm1 |
---|
[10399] | 1117 | DO ji = 1, fs_jpim1 |
---|
[10267] | 1118 | pt_v(ji,jj) = 0.5_wp * vmask(ji,jj,1) * ( ( pt(ji,jj+1) + pt(ji,jj) ) & |
---|
| 1119 | & - SIGN( 1._wp, pv(ji,jj) ) * ( pt(ji,jj+1) - pt(ji,jj) ) ) |
---|
[8586] | 1120 | END DO |
---|
| 1121 | END DO |
---|
| 1122 | ! |
---|
| 1123 | CASE( 2 ) !== 2nd order central TIM ==! (Eq. 23) |
---|
| 1124 | DO jj = 1, jpjm1 |
---|
[10399] | 1125 | DO ji = 1, fs_jpim1 |
---|
[10267] | 1126 | zcv = pv(ji,jj) * r1_e1v(ji,jj) * pdt * r1_e2v(ji,jj) |
---|
[8586] | 1127 | pt_v(ji,jj) = 0.5_wp * vmask(ji,jj,1) * ( ( pt(ji,jj+1) + pt(ji,jj) ) & |
---|
| 1128 | & - zcv * ( pt(ji,jj+1) - pt(ji,jj) ) ) |
---|
| 1129 | END DO |
---|
| 1130 | END DO |
---|
[9421] | 1131 | CALL lbc_lnk( pt_v, 'V', 1. ) |
---|
[8586] | 1132 | ! |
---|
| 1133 | CASE( 3 ) !== 3rd order central TIM ==! (Eq. 24) |
---|
| 1134 | DO jj = 1, jpjm1 |
---|
[10399] | 1135 | DO ji = 1, fs_jpim1 |
---|
[10267] | 1136 | zcv = pv(ji,jj) * r1_e1v(ji,jj) * pdt * r1_e2v(ji,jj) |
---|
[8586] | 1137 | zdy2 = e2v(ji,jj) * e2v(ji,jj) |
---|
| 1138 | !!rachid zdy2 = e2v(ji,jj) * e2t(ji,jj) |
---|
| 1139 | pt_v(ji,jj) = 0.5_wp * vmask(ji,jj,1) * ( ( pt (ji,jj+1) + pt (ji,jj) & |
---|
| 1140 | & - zcv * ( pt (ji,jj+1) - pt (ji,jj) ) ) & |
---|
| 1141 | & + z1_6 * zdy2 * ( zcv*zcv - 1._wp ) * ( ztv2(ji,jj+1) + ztv2(ji,jj) & |
---|
| 1142 | & - SIGN( 1._wp, zcv ) * ( ztv2(ji,jj+1) - ztv2(ji,jj) ) ) ) |
---|
| 1143 | END DO |
---|
| 1144 | END DO |
---|
| 1145 | ! |
---|
| 1146 | CASE( 4 ) !== 4th order central TIM ==! (Eq. 27) |
---|
| 1147 | DO jj = 1, jpjm1 |
---|
[10399] | 1148 | DO ji = 1, fs_jpim1 |
---|
[10267] | 1149 | zcv = pv(ji,jj) * r1_e1v(ji,jj) * pdt * r1_e2v(ji,jj) |
---|
[8586] | 1150 | zdy2 = e2v(ji,jj) * e2v(ji,jj) |
---|
| 1151 | !!rachid zdy2 = e2v(ji,jj) * e2t(ji,jj) |
---|
| 1152 | pt_v(ji,jj) = 0.5_wp * vmask(ji,jj,1) * ( ( pt (ji,jj+1) + pt (ji,jj) & |
---|
| 1153 | & - zcv * ( pt (ji,jj+1) - pt (ji,jj) ) ) & |
---|
| 1154 | & + z1_6 * zdy2 * ( zcv*zcv - 1._wp ) * ( ztv2(ji,jj+1) + ztv2(ji,jj) & |
---|
| 1155 | & - 0.5_wp * zcv * ( ztv2(ji,jj+1) - ztv2(ji,jj) ) ) ) |
---|
| 1156 | END DO |
---|
| 1157 | END DO |
---|
| 1158 | ! |
---|
| 1159 | CASE( 5 ) !== 5th order central TIM ==! (Eq. 29) |
---|
| 1160 | DO jj = 1, jpjm1 |
---|
[10399] | 1161 | DO ji = 1, fs_jpim1 |
---|
[10267] | 1162 | zcv = pv(ji,jj) * r1_e1v(ji,jj) * pdt * r1_e2v(ji,jj) |
---|
[8586] | 1163 | zdy2 = e2v(ji,jj) * e2v(ji,jj) |
---|
| 1164 | !!rachid zdy2 = e2v(ji,jj) * e2t(ji,jj) |
---|
| 1165 | zdy4 = zdy2 * zdy2 |
---|
| 1166 | pt_v(ji,jj) = 0.5_wp * vmask(ji,jj,1) * ( ( pt (ji,jj+1) + pt (ji,jj) & |
---|
| 1167 | & - zcv * ( pt (ji,jj+1) - pt (ji,jj) ) ) & |
---|
| 1168 | & + z1_6 * zdy2 * ( zcv*zcv - 1._wp ) * ( ztv2(ji,jj+1) + ztv2(ji,jj) & |
---|
| 1169 | & - 0.5_wp * zcv * ( ztv2(ji,jj+1) - ztv2(ji,jj) ) ) & |
---|
| 1170 | & + z1_120 * zdy4 * ( zcv*zcv - 1._wp ) * ( zcv*zcv - 4._wp ) * ( ztv4(ji,jj+1) + ztv4(ji,jj) & |
---|
| 1171 | & - SIGN( 1._wp, zcv ) * ( ztv4(ji,jj+1) - ztv4(ji,jj) ) ) ) |
---|
| 1172 | END DO |
---|
| 1173 | END DO |
---|
| 1174 | ! |
---|
| 1175 | END SELECT |
---|
[10267] | 1176 | ! !-- High order flux in j-direction --! |
---|
[10399] | 1177 | IF( ll_neg ) THEN |
---|
| 1178 | DO jj = 1, jpjm1 |
---|
| 1179 | DO ji = 1, fs_jpim1 |
---|
| 1180 | IF( pt_v(ji,jj) < 0._wp ) THEN |
---|
| 1181 | pt_v(ji,jj) = 0.5_wp * vmask(ji,jj,1) * ( ( pt(ji,jj+1) + pt(ji,jj) ) & |
---|
| 1182 | & - SIGN( 1._wp, pv(ji,jj) ) * ( pt(ji,jj+1) - pt(ji,jj) ) ) |
---|
| 1183 | ENDIF |
---|
| 1184 | END DO |
---|
| 1185 | END DO |
---|
| 1186 | ENDIF |
---|
| 1187 | |
---|
[10267] | 1188 | DO jj = 1, jpjm1 |
---|
| 1189 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10399] | 1190 | IF( ll_clem ) THEN |
---|
| 1191 | pfv_ho(ji,jj) = pv(ji,jj) * pt_v(ji,jj) |
---|
| 1192 | ELSE |
---|
| 1193 | pfv_ho(ji,jj) = pvc(ji,jj) * pt_v(ji,jj) |
---|
| 1194 | ENDIF |
---|
[10267] | 1195 | END DO |
---|
| 1196 | END DO |
---|
[8586] | 1197 | ! |
---|
| 1198 | END SUBROUTINE ultimate_y |
---|
[10267] | 1199 | |
---|
| 1200 | |
---|
[10399] | 1201 | SUBROUTINE nonosc_2d( pamsk, pdt, pu, puc, pv, pvc, ptc, pt, pt_low, pfu_low, pfv_low, pfu_ho, pfv_ho ) |
---|
[8586] | 1202 | !!--------------------------------------------------------------------- |
---|
| 1203 | !! *** ROUTINE nonosc *** |
---|
| 1204 | !! |
---|
[10315] | 1205 | !! ** Purpose : compute monotonic tracer fluxes from the upstream |
---|
[8586] | 1206 | !! scheme and the before field by a nonoscillatory algorithm |
---|
| 1207 | !! |
---|
| 1208 | !! ** Method : ... ??? |
---|
[10399] | 1209 | !! warning : pt and pt_low must be masked, but the boundaries |
---|
[8586] | 1210 | !! conditions on the fluxes are not necessary zalezak (1979) |
---|
| 1211 | !! drange (1995) multi-dimensional forward-in-time and upstream- |
---|
| 1212 | !! in-space based differencing for fluid |
---|
| 1213 | !!---------------------------------------------------------------------- |
---|
[10331] | 1214 | REAL(wp) , INTENT(in ) :: pamsk ! advection of concentration (1) or other tracers (0) |
---|
[10267] | 1215 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
[10331] | 1216 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: pu ! ice i-velocity => u*e2 |
---|
| 1217 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: puc ! ice i-velocity *A => u*e2*a |
---|
| 1218 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: pv ! ice j-velocity => v*e1 |
---|
| 1219 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: pvc ! ice j-velocity *A => v*e1*a |
---|
[10399] | 1220 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: ptc, pt, pt_low ! before field & upstream guess of after field |
---|
[10331] | 1221 | REAL(wp), DIMENSION (jpi,jpj), INTENT(inout) :: pfv_low, pfu_low ! upstream flux |
---|
[10267] | 1222 | REAL(wp), DIMENSION (jpi,jpj), INTENT(inout) :: pfv_ho, pfu_ho ! monotonic flux |
---|
[8586] | 1223 | ! |
---|
| 1224 | INTEGER :: ji, jj ! dummy loop indices |
---|
[10399] | 1225 | REAL(wp) :: zpos, zneg, zbig, zsml, z1_dt, zpos2, zneg2 ! local scalars |
---|
| 1226 | REAL(wp) :: zau, zbu, zcu, zav, zbv, zcv, zup, zdo, zsign, zcoef ! - - |
---|
| 1227 | REAL(wp), DIMENSION(jpi,jpj) :: zbetup, zbetdo, zbup, zbdo, zti_low, ztj_low, zzt |
---|
[8586] | 1228 | !!---------------------------------------------------------------------- |
---|
| 1229 | zbig = 1.e+40_wp |
---|
[10315] | 1230 | zsml = epsi20 |
---|
[8586] | 1231 | |
---|
[10399] | 1232 | IF( ll_zeroup2 ) THEN |
---|
| 1233 | DO jj = 1, jpjm1 |
---|
| 1234 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 1235 | IF( amaxu(ji,jj) == 0._wp ) pfu_ho(ji,jj) = 0._wp |
---|
| 1236 | IF( amaxv(ji,jj) == 0._wp ) pfv_ho(ji,jj) = 0._wp |
---|
| 1237 | END DO |
---|
| 1238 | END DO |
---|
| 1239 | ENDIF |
---|
| 1240 | |
---|
| 1241 | IF( ll_zeroup4 ) THEN |
---|
| 1242 | DO jj = 1, jpjm1 |
---|
| 1243 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 1244 | IF( pfu_low(ji,jj) == 0._wp ) pfu_ho(ji,jj) = 0._wp |
---|
| 1245 | IF( pfv_low(ji,jj) == 0._wp ) pfv_ho(ji,jj) = 0._wp |
---|
| 1246 | END DO |
---|
| 1247 | END DO |
---|
| 1248 | ENDIF |
---|
[10331] | 1249 | |
---|
[10399] | 1250 | |
---|
| 1251 | IF( ll_zeroup1 ) THEN |
---|
| 1252 | DO jj = 2, jpjm1 |
---|
| 1253 | DO ji = fs_2, fs_jpim1 |
---|
| 1254 | IF( ll_gurvan ) THEN |
---|
| 1255 | zzt(ji,jj) = ( pt(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 1256 | & - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
| 1257 | ELSE |
---|
| 1258 | zzt(ji,jj) = ( pt(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 1259 | & - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 1260 | & + pt(ji,jj) * pdt * ( pu(ji,jj) - pu(ji-1,jj) ) * r1_e1e2t(ji,jj) * (1.-pamsk) & |
---|
| 1261 | & + pt(ji,jj) * pdt * ( pv(ji,jj) - pv(ji,jj-1) ) * r1_e1e2t(ji,jj) * (1.-pamsk) ) * tmask(ji,jj,1) |
---|
| 1262 | ENDIF |
---|
| 1263 | IF( zzt(ji,jj) < 0._wp ) THEN |
---|
| 1264 | pfu_ho(ji,jj) = pfu_low(ji,jj) |
---|
| 1265 | pfv_ho(ji,jj) = pfv_low(ji,jj) |
---|
| 1266 | WRITE(numout,*) '*** 1 negative high order zzt ***',ji,jj,zzt(ji,jj) |
---|
| 1267 | ENDIF |
---|
[10411] | 1268 | !! IF( ji==26 .AND. jj==86) THEN |
---|
| 1269 | !! WRITE(numout,*) 'zzt high order',zzt(ji,jj) |
---|
| 1270 | !! WRITE(numout,*) 'pfu_ho',(pfu_ho(ji,jj)) * r1_e1e2t(ji,jj) * pdt |
---|
| 1271 | !! WRITE(numout,*) 'pfv_ho',(pfv_ho(ji,jj)) * r1_e1e2t(ji,jj) * pdt |
---|
| 1272 | !! WRITE(numout,*) 'pfu_hom1',(pfu_ho(ji-1,jj)) * r1_e1e2t(ji,jj) * pdt |
---|
| 1273 | !! WRITE(numout,*) 'pfv_hom1',(pfv_ho(ji,jj-1)) * r1_e1e2t(ji,jj) * pdt |
---|
| 1274 | !! ENDIF |
---|
[10399] | 1275 | IF( ll_gurvan ) THEN |
---|
| 1276 | zzt(ji,jj) = ( pt(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 1277 | & - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
| 1278 | ELSE |
---|
| 1279 | zzt(ji,jj) = ( pt(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 1280 | & - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 1281 | & + pt(ji,jj) * pdt * ( pu(ji,jj) - pu(ji-1,jj) ) * r1_e1e2t(ji,jj) * (1.-pamsk) & |
---|
| 1282 | & + pt(ji,jj) * pdt * ( pv(ji,jj) - pv(ji,jj-1) ) * r1_e1e2t(ji,jj) * (1.-pamsk) ) * tmask(ji,jj,1) |
---|
| 1283 | ENDIF |
---|
| 1284 | IF( zzt(ji,jj) < 0._wp ) THEN |
---|
| 1285 | pfu_ho(ji-1,jj) = pfu_low(ji-1,jj) |
---|
| 1286 | pfv_ho(ji,jj-1) = pfv_low(ji,jj-1) |
---|
| 1287 | WRITE(numout,*) '*** 2 negative high order zzt ***',ji,jj,zzt(ji,jj) |
---|
| 1288 | ENDIF |
---|
| 1289 | IF( ll_gurvan ) THEN |
---|
| 1290 | zzt(ji,jj) = ( pt(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 1291 | & - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
| 1292 | ELSE |
---|
| 1293 | zzt(ji,jj) = ( pt(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 1294 | & - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 1295 | & + pt(ji,jj) * pdt * ( pu(ji,jj) - pu(ji-1,jj) ) * r1_e1e2t(ji,jj) * (1.-pamsk) & |
---|
| 1296 | & + pt(ji,jj) * pdt * ( pv(ji,jj) - pv(ji,jj-1) ) * r1_e1e2t(ji,jj) * (1.-pamsk) ) * tmask(ji,jj,1) |
---|
| 1297 | ENDIF |
---|
| 1298 | IF( zzt(ji,jj) < 0._wp ) THEN |
---|
| 1299 | WRITE(numout,*) '*** 3 negative high order zzt ***',ji,jj,zzt(ji,jj) |
---|
| 1300 | ENDIF |
---|
| 1301 | END DO |
---|
| 1302 | END DO |
---|
| 1303 | CALL lbc_lnk_multi( pfu_ho, 'U', -1., pfv_ho, 'V', -1. ) |
---|
[10331] | 1304 | ENDIF |
---|
[10399] | 1305 | |
---|
[10331] | 1306 | |
---|
[10267] | 1307 | ! antidiffusive flux : high order minus low order |
---|
| 1308 | ! -------------------------------------------------- |
---|
| 1309 | DO jj = 1, jpjm1 |
---|
| 1310 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10315] | 1311 | pfu_ho(ji,jj) = pfu_ho(ji,jj) - pfu_low(ji,jj) |
---|
| 1312 | pfv_ho(ji,jj) = pfv_ho(ji,jj) - pfv_low(ji,jj) |
---|
[10399] | 1313 | END DO |
---|
[10267] | 1314 | END DO |
---|
[8586] | 1315 | |
---|
[10315] | 1316 | ! extreme case where pfu_ho has to be zero |
---|
| 1317 | ! ---------------------------------------- |
---|
| 1318 | ! pfu_ho |
---|
| 1319 | ! * ---> |
---|
| 1320 | ! | | * | | |
---|
| 1321 | ! | | | * | |
---|
| 1322 | ! | | | | * |
---|
| 1323 | ! t_low : i-1 i i+1 i+2 |
---|
[10331] | 1324 | IF( ll_prelimiter_zalesak ) THEN |
---|
| 1325 | |
---|
[10315] | 1326 | DO jj = 2, jpjm1 |
---|
| 1327 | DO ji = fs_2, fs_jpim1 |
---|
| 1328 | zti_low(ji,jj)= pt_low(ji+1,jj ) |
---|
| 1329 | ztj_low(ji,jj)= pt_low(ji ,jj+1) |
---|
| 1330 | END DO |
---|
| 1331 | END DO |
---|
| 1332 | CALL lbc_lnk_multi( zti_low, 'T', 1., ztj_low, 'T', 1. ) |
---|
| 1333 | |
---|
| 1334 | |
---|
[10331] | 1335 | !! this does not work |
---|
| 1336 | !! DO jj = 2, jpjm1 |
---|
| 1337 | !! DO ji = fs_2, fs_jpim1 |
---|
| 1338 | !! IF( SIGN( 1., pfu_ho(ji,jj) ) /= SIGN( 1., pt_low (ji+1,jj ) - pt_low (ji ,jj) ) .AND. & |
---|
| 1339 | !! & SIGN( 1., pfv_ho(ji,jj) ) /= SIGN( 1., pt_low (ji ,jj+1) - pt_low (ji ,jj) ) & |
---|
| 1340 | !! & ) THEN |
---|
| 1341 | !! IF( SIGN( 1., pfu_ho(ji,jj) ) /= SIGN( 1., zti_low(ji+1,jj ) - zti_low(ji ,jj) ) .AND. & |
---|
| 1342 | !! & SIGN( 1., pfv_ho(ji,jj) ) /= SIGN( 1., ztj_low(ji,jj+1 ) - ztj_low(ji ,jj) ) & |
---|
| 1343 | !! & ) THEN |
---|
| 1344 | !! pfu_ho(ji,jj) = 0. ; pfv_ho(ji,jj) = 0. |
---|
| 1345 | !! ENDIF |
---|
| 1346 | !! IF( SIGN( 1., pfu_ho(ji,jj) ) /= SIGN( 1., pt_low (ji ,jj) - pt_low (ji-1,jj ) ) .AND. & |
---|
| 1347 | !! & SIGN( 1., pfv_ho(ji,jj) ) /= SIGN( 1., pt_low (ji ,jj) - pt_low (ji ,jj-1) ) & |
---|
| 1348 | !! & ) THEN |
---|
| 1349 | !! pfu_ho(ji,jj) = 0. ; pfv_ho(ji,jj) = 0. |
---|
| 1350 | !! ENDIF |
---|
| 1351 | !! ENDIF |
---|
| 1352 | !! END DO |
---|
| 1353 | !! END DO |
---|
[10315] | 1354 | |
---|
[10331] | 1355 | DO jj = 2, jpjm1 |
---|
| 1356 | DO ji = fs_2, fs_jpim1 |
---|
| 1357 | IF ( pfu_ho(ji,jj) * ( pt_low(ji+1,jj) - pt_low(ji,jj) ) <= 0. .AND. & |
---|
| 1358 | & pfv_ho(ji,jj) * ( pt_low(ji,jj+1) - pt_low(ji,jj) ) <= 0. ) THEN |
---|
| 1359 | ! |
---|
| 1360 | IF( pfu_ho(ji,jj) * ( zti_low(ji+1,jj) - zti_low(ji,jj) ) <= 0 .AND. & |
---|
| 1361 | & pfv_ho(ji,jj) * ( ztj_low(ji,jj+1) - ztj_low(ji,jj) ) <= 0) pfu_ho(ji,jj)=0. ; pfv_ho(ji,jj)=0. |
---|
| 1362 | ! |
---|
| 1363 | IF( pfu_ho(ji,jj) * ( pt_low(ji ,jj) - pt_low(ji-1,jj) ) <= 0 .AND. & |
---|
| 1364 | & pfv_ho(ji,jj) * ( pt_low(ji ,jj) - pt_low(ji,jj-1) ) <= 0) pfu_ho(ji,jj)=0. ; pfv_ho(ji,jj)=0. |
---|
| 1365 | ! |
---|
| 1366 | ENDIF |
---|
[10315] | 1367 | END DO |
---|
[10331] | 1368 | END DO |
---|
| 1369 | CALL lbc_lnk_multi( pfu_ho, 'U', -1., pfv_ho, 'V', -1. ) ! lateral boundary cond. |
---|
[10315] | 1370 | |
---|
[10331] | 1371 | ELSEIF( ll_prelimiter_devore ) THEN |
---|
| 1372 | DO jj = 2, jpjm1 |
---|
| 1373 | DO ji = fs_2, fs_jpim1 |
---|
| 1374 | zti_low(ji,jj)= pt_low(ji+1,jj ) |
---|
| 1375 | ztj_low(ji,jj)= pt_low(ji ,jj+1) |
---|
[10315] | 1376 | END DO |
---|
[10331] | 1377 | END DO |
---|
| 1378 | CALL lbc_lnk_multi( zti_low, 'T', 1., ztj_low, 'T', 1. ) |
---|
| 1379 | |
---|
| 1380 | z1_dt = 1._wp / pdt |
---|
| 1381 | DO jj = 2, jpjm1 |
---|
| 1382 | DO ji = fs_2, fs_jpim1 |
---|
| 1383 | zsign = SIGN( 1., pt_low(ji+1,jj) - pt_low(ji,jj) ) |
---|
| 1384 | pfu_ho(ji,jj) = zsign * MAX( 0. , MIN( ABS(pfu_ho(ji,jj)) , & |
---|
| 1385 | & zsign * ( pt_low (ji ,jj) - pt_low (ji-1,jj) ) * e1e2t(ji ,jj) * z1_dt , & |
---|
| 1386 | & zsign * ( zti_low(ji+1,jj) - zti_low(ji ,jj) ) * e1e2t(ji+1,jj) * z1_dt ) ) |
---|
| 1387 | |
---|
| 1388 | zsign = SIGN( 1., pt_low(ji,jj+1) - pt_low(ji,jj) ) |
---|
| 1389 | pfv_ho(ji,jj) = zsign * MAX( 0. , MIN( ABS(pfv_ho(ji,jj)) , & |
---|
| 1390 | & zsign * ( pt_low (ji,jj ) - pt_low (ji,jj-1) ) * e1e2t(ji,jj ) * z1_dt , & |
---|
| 1391 | & zsign * ( ztj_low(ji,jj+1) - ztj_low(ji,jj ) ) * e1e2t(ji,jj+1) * z1_dt ) ) |
---|
| 1392 | END DO |
---|
| 1393 | END DO |
---|
| 1394 | CALL lbc_lnk_multi( pfu_ho, 'U', -1., pfv_ho, 'V', -1. ) ! lateral boundary cond. |
---|
[10315] | 1395 | |
---|
[10331] | 1396 | ENDIF |
---|
[10315] | 1397 | |
---|
| 1398 | |
---|
[8586] | 1399 | ! Search local extrema |
---|
| 1400 | ! -------------------- |
---|
[10399] | 1401 | ! max/min of pt & pt_low with large negative/positive value (-/+zbig) outside ice cover |
---|
[10267] | 1402 | DO jj = 1, jpj |
---|
[10315] | 1403 | DO ji = 1, jpi |
---|
[10399] | 1404 | IF ( pt(ji,jj) <= 0._wp .AND. pt_low(ji,jj) <= 0._wp ) THEN |
---|
[10267] | 1405 | zbup(ji,jj) = -zbig |
---|
| 1406 | zbdo(ji,jj) = zbig |
---|
[10399] | 1407 | ELSEIF( pt(ji,jj) <= 0._wp .AND. pt_low(ji,jj) > 0._wp ) THEN |
---|
[10315] | 1408 | zbup(ji,jj) = pt_low(ji,jj) |
---|
| 1409 | zbdo(ji,jj) = pt_low(ji,jj) |
---|
[10399] | 1410 | ELSEIF( pt(ji,jj) > 0._wp .AND. pt_low(ji,jj) <= 0._wp ) THEN |
---|
| 1411 | zbup(ji,jj) = pt(ji,jj) |
---|
| 1412 | zbdo(ji,jj) = pt(ji,jj) |
---|
[10315] | 1413 | ELSE |
---|
[10399] | 1414 | zbup(ji,jj) = MAX( pt(ji,jj) , pt_low(ji,jj) ) |
---|
| 1415 | zbdo(ji,jj) = MIN( pt(ji,jj) , pt_low(ji,jj) ) |
---|
[10267] | 1416 | ENDIF |
---|
| 1417 | END DO |
---|
| 1418 | END DO |
---|
[8586] | 1419 | |
---|
[10399] | 1420 | |
---|
[8586] | 1421 | z1_dt = 1._wp / pdt |
---|
| 1422 | DO jj = 2, jpjm1 |
---|
| 1423 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 1424 | ! |
---|
[10399] | 1425 | IF( .NOT. ll_9points ) THEN |
---|
| 1426 | 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 |
---|
| 1427 | zdo = MIN( zbdo(ji,jj), zbdo(ji-1,jj ), zbdo(ji+1,jj ), zbdo(ji ,jj-1), zbdo(ji ,jj+1) ) |
---|
[10267] | 1428 | ! |
---|
[10399] | 1429 | ELSE |
---|
[10315] | 1430 | 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 |
---|
| 1431 | & zbup(ji-1,jj-1), zbup(ji+1,jj+1), zbup(ji+1,jj-1), zbup(ji-1,jj+1) ) |
---|
| 1432 | zdo = MIN( zbdo(ji,jj), zbdo(ji-1,jj ), zbdo(ji+1,jj ), zbdo(ji ,jj-1), zbdo(ji ,jj+1), & |
---|
| 1433 | & zbdo(ji-1,jj-1), zbdo(ji+1,jj+1), zbdo(ji+1,jj-1), zbdo(ji-1,jj+1) ) |
---|
[10399] | 1434 | ENDIF |
---|
[10315] | 1435 | ! |
---|
| 1436 | zpos = MAX( 0., pfu_ho(ji-1,jj) ) - MIN( 0., pfu_ho(ji ,jj) ) & ! positive/negative part of the flux |
---|
| 1437 | & + MAX( 0., pfv_ho(ji,jj-1) ) - MIN( 0., pfv_ho(ji,jj ) ) |
---|
[10267] | 1438 | zneg = MAX( 0., pfu_ho(ji ,jj) ) - MIN( 0., pfu_ho(ji-1,jj) ) & |
---|
| 1439 | & + MAX( 0., pfv_ho(ji,jj ) ) - MIN( 0., pfv_ho(ji,jj-1) ) |
---|
| 1440 | ! |
---|
[10399] | 1441 | IF( ll_HgradU .AND. .NOT.ll_gurvan ) THEN |
---|
| 1442 | 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 ) |
---|
| 1443 | 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 ) |
---|
| 1444 | ELSE |
---|
| 1445 | zneg2 = 0. ; zpos2 = 0. |
---|
| 1446 | ENDIF |
---|
| 1447 | ! |
---|
[10267] | 1448 | ! ! up & down beta terms |
---|
[10315] | 1449 | ! zbetup(ji,jj) = ( zup - pt_low(ji,jj) ) / ( zpos + zsml ) * e1e2t(ji,jj) * z1_dt |
---|
| 1450 | ! zbetdo(ji,jj) = ( pt_low(ji,jj) - zdo ) / ( zneg + zsml ) * e1e2t(ji,jj) * z1_dt |
---|
[10399] | 1451 | |
---|
| 1452 | IF( (zpos+zpos2) > 0. ) THEN ; zbetup(ji,jj) = MAX( 0._wp, zup - pt_low(ji,jj) ) / (zpos+zpos2) * e1e2t(ji,jj) * z1_dt |
---|
| 1453 | ELSE ; zbetup(ji,jj) = 0. ! zbig |
---|
[10267] | 1454 | ENDIF |
---|
| 1455 | ! |
---|
[10399] | 1456 | IF( (zneg+zneg2) > 0. ) THEN ; zbetdo(ji,jj) = MAX( 0._wp, pt_low(ji,jj) - zdo ) / (zneg+zneg2) * e1e2t(ji,jj) * z1_dt |
---|
| 1457 | ELSE ; zbetdo(ji,jj) = 0. ! zbig |
---|
[10267] | 1458 | ENDIF |
---|
| 1459 | ! |
---|
[10399] | 1460 | ! if all the points are outside ice cover |
---|
| 1461 | IF( zup == -zbig ) zbetup(ji,jj) = 0. ! zbig |
---|
| 1462 | IF( zdo == zbig ) zbetdo(ji,jj) = 0. ! zbig |
---|
[10315] | 1463 | ! |
---|
[10399] | 1464 | |
---|
[10411] | 1465 | !! IF( ji==26 .AND. jj==86) THEN |
---|
| 1466 | ! WRITE(numout,*) '-----------------' |
---|
| 1467 | ! WRITE(numout,*) 'zpos',zpos,zpos2 |
---|
| 1468 | ! WRITE(numout,*) 'zneg',zneg,zneg2 |
---|
| 1469 | ! WRITE(numout,*) 'puc/pu',ABS(puc(ji,jj))/MAX(epsi20, ABS(pu(ji,jj))) |
---|
| 1470 | ! WRITE(numout,*) 'pvc/pv',ABS(pvc(ji,jj))/MAX(epsi20, ABS(pv(ji,jj))) |
---|
| 1471 | ! WRITE(numout,*) 'pucm1/pu',ABS(puc(ji-1,jj))/MAX(epsi20, ABS(pu(ji-1,jj))) |
---|
| 1472 | ! WRITE(numout,*) 'pvcm1/pv',ABS(pvc(ji,jj-1))/MAX(epsi20, ABS(pv(ji,jj-1))) |
---|
| 1473 | ! WRITE(numout,*) 'pfu_ho',(pfu_ho(ji,jj)+pfu_low(ji,jj)) * r1_e1e2t(ji,jj) * pdt |
---|
| 1474 | ! WRITE(numout,*) 'pfv_ho',(pfv_ho(ji,jj)+pfv_low(ji,jj)) * r1_e1e2t(ji,jj) * pdt |
---|
| 1475 | ! WRITE(numout,*) 'pfu_hom1',(pfu_ho(ji-1,jj)+pfu_low(ji-1,jj)) * r1_e1e2t(ji,jj) * pdt |
---|
| 1476 | ! WRITE(numout,*) 'pfv_hom1',(pfv_ho(ji,jj-1)+pfv_low(ji,jj-1)) * r1_e1e2t(ji,jj) * pdt |
---|
| 1477 | ! WRITE(numout,*) 'pfu_low',pfu_low(ji,jj) * r1_e1e2t(ji,jj) * pdt |
---|
| 1478 | ! WRITE(numout,*) 'pfv_low',pfv_low(ji,jj) * r1_e1e2t(ji,jj) * pdt |
---|
| 1479 | ! WRITE(numout,*) 'pfu_lowm1',pfu_low(ji-1,jj) * r1_e1e2t(ji,jj) * pdt |
---|
| 1480 | ! WRITE(numout,*) 'pfv_lowm1',pfv_low(ji,jj-1) * r1_e1e2t(ji,jj) * pdt |
---|
| 1481 | ! |
---|
| 1482 | ! WRITE(numout,*) 'pt',pt(ji,jj) |
---|
| 1483 | ! WRITE(numout,*) 'ptim1',pt(ji-1,jj) |
---|
| 1484 | ! WRITE(numout,*) 'ptjm1',pt(ji,jj-1) |
---|
| 1485 | ! WRITE(numout,*) 'pt_low',pt_low(ji,jj) |
---|
| 1486 | ! WRITE(numout,*) 'zbetup',zbetup(ji,jj) |
---|
| 1487 | ! WRITE(numout,*) 'zbetdo',zbetdo(ji,jj) |
---|
| 1488 | ! WRITE(numout,*) 'zup',zup |
---|
| 1489 | ! WRITE(numout,*) 'zdo',zdo |
---|
| 1490 | ! ENDIF |
---|
[10315] | 1491 | ! |
---|
[8586] | 1492 | END DO |
---|
| 1493 | END DO |
---|
| 1494 | CALL lbc_lnk_multi( zbetup, 'T', 1., zbetdo, 'T', 1. ) ! lateral boundary cond. (unchanged sign) |
---|
| 1495 | |
---|
[10331] | 1496 | |
---|
[10267] | 1497 | ! monotonic flux in the y direction |
---|
| 1498 | ! --------------------------------- |
---|
| 1499 | DO jj = 1, jpjm1 |
---|
[8637] | 1500 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[8586] | 1501 | zau = MIN( 1._wp , zbetdo(ji,jj) , zbetup(ji+1,jj) ) |
---|
| 1502 | zbu = MIN( 1._wp , zbetup(ji,jj) , zbetdo(ji+1,jj) ) |
---|
[10267] | 1503 | zcu = 0.5 + SIGN( 0.5 , pfu_ho(ji,jj) ) |
---|
[8586] | 1504 | ! |
---|
[10399] | 1505 | zcoef = ( zcu * zau + ( 1._wp - zcu ) * zbu ) |
---|
| 1506 | |
---|
| 1507 | pfu_ho(ji,jj) = pfu_ho(ji,jj) * zcoef + pfu_low(ji,jj) |
---|
| 1508 | |
---|
[10411] | 1509 | !! IF( ji==26 .AND. jj==86) THEN |
---|
| 1510 | !! WRITE(numout,*) 'coefU',zcoef |
---|
| 1511 | !! WRITE(numout,*) 'pfu_ho',(pfu_ho(ji,jj)) * r1_e1e2t(ji,jj) * pdt |
---|
| 1512 | !! WRITE(numout,*) 'pfu_hom1',(pfu_ho(ji-1,jj)) * r1_e1e2t(ji,jj) * pdt |
---|
| 1513 | !! ENDIF |
---|
[10399] | 1514 | |
---|
[8637] | 1515 | END DO |
---|
| 1516 | END DO |
---|
[10267] | 1517 | |
---|
[8637] | 1518 | DO jj = 1, jpjm1 |
---|
[10267] | 1519 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[8586] | 1520 | zav = MIN( 1._wp , zbetdo(ji,jj) , zbetup(ji,jj+1) ) |
---|
| 1521 | zbv = MIN( 1._wp , zbetup(ji,jj) , zbetdo(ji,jj+1) ) |
---|
[10267] | 1522 | zcv = 0.5 + SIGN( 0.5 , pfv_ho(ji,jj) ) |
---|
[8586] | 1523 | ! |
---|
[10399] | 1524 | zcoef = ( zcv * zav + ( 1._wp - zcv ) * zbv ) |
---|
| 1525 | |
---|
| 1526 | pfv_ho(ji,jj) = pfv_ho(ji,jj) * zcoef + pfv_low(ji,jj) |
---|
| 1527 | |
---|
[10411] | 1528 | !! IF( ji==26 .AND. jj==86) THEN |
---|
| 1529 | !! WRITE(numout,*) 'coefV',zcoef |
---|
| 1530 | !! WRITE(numout,*) 'pfv_ho',(pfv_ho(ji,jj)) * r1_e1e2t(ji,jj) * pdt |
---|
| 1531 | !! WRITE(numout,*) 'pfv_hom1',(pfv_ho(ji,jj-1)) * r1_e1e2t(ji,jj) * pdt |
---|
| 1532 | !! ENDIF |
---|
[8586] | 1533 | END DO |
---|
| 1534 | END DO |
---|
[10399] | 1535 | |
---|
| 1536 | ! clem test |
---|
| 1537 | DO jj = 2, jpjm1 |
---|
| 1538 | DO ji = 2, fs_jpim1 ! vector opt. |
---|
| 1539 | IF( ll_gurvan ) THEN |
---|
| 1540 | zzt(ji,jj) = ( pt(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 1541 | & - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
| 1542 | ELSE |
---|
| 1543 | zzt(ji,jj) = ( pt(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 1544 | & - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) & |
---|
| 1545 | & + pt(ji,jj) * pdt * ( pu(ji,jj) - pu(ji-1,jj) ) * r1_e1e2t(ji,jj) * (1.-pamsk) & |
---|
| 1546 | & + pt(ji,jj) * pdt * ( pv(ji,jj) - pv(ji,jj-1) ) * r1_e1e2t(ji,jj) * (1.-pamsk) ) * tmask(ji,jj,1) |
---|
| 1547 | ENDIF |
---|
| 1548 | IF( zzt(ji,jj) < -epsi20 ) THEN |
---|
| 1549 | WRITE(numout,*) 'T<0 nonosc',zzt(ji,jj) |
---|
| 1550 | ENDIF |
---|
| 1551 | END DO |
---|
| 1552 | END DO |
---|
| 1553 | |
---|
[8586] | 1554 | ! |
---|
[10399] | 1555 | ! |
---|
[8586] | 1556 | END SUBROUTINE nonosc_2d |
---|
| 1557 | |
---|
[10267] | 1558 | SUBROUTINE limiter_x( pdt, pu, puc, pt, pfu_ho, pfu_ups ) |
---|
| 1559 | !!--------------------------------------------------------------------- |
---|
| 1560 | !! *** ROUTINE limiter_x *** |
---|
| 1561 | !! |
---|
| 1562 | !! ** Purpose : compute flux limiter |
---|
| 1563 | !!---------------------------------------------------------------------- |
---|
| 1564 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
| 1565 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: pu ! ice i-velocity => u*e2 |
---|
| 1566 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: puc ! ice i-velocity *A => u*e2*a |
---|
| 1567 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: pt ! ice tracer |
---|
| 1568 | REAL(wp), DIMENSION (jpi,jpj), INTENT(inout) :: pfu_ho ! high order flux |
---|
| 1569 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ), OPTIONAL :: pfu_ups ! upstream flux |
---|
| 1570 | ! |
---|
| 1571 | REAL(wp) :: Cr, Rjm, Rj, Rjp, uCFL, zpsi, zh3, zlimiter, Rr |
---|
| 1572 | INTEGER :: ji, jj ! dummy loop indices |
---|
| 1573 | REAL(wp), DIMENSION (jpi,jpj) :: zslpx ! tracer slopes |
---|
| 1574 | !!---------------------------------------------------------------------- |
---|
| 1575 | ! |
---|
| 1576 | DO jj = 2, jpjm1 |
---|
| 1577 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 1578 | zslpx(ji,jj) = ( pt(ji+1,jj) - pt(ji,jj) ) * umask(ji,jj,1) |
---|
| 1579 | END DO |
---|
| 1580 | END DO |
---|
| 1581 | CALL lbc_lnk( zslpx, 'U', -1.) ! lateral boundary cond. |
---|
| 1582 | |
---|
| 1583 | DO jj = 2, jpjm1 |
---|
| 1584 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 1585 | uCFL = pdt * ABS( pu(ji,jj) ) * r1_e1e2t(ji,jj) |
---|
| 1586 | |
---|
| 1587 | Rjm = zslpx(ji-1,jj) |
---|
| 1588 | Rj = zslpx(ji ,jj) |
---|
| 1589 | Rjp = zslpx(ji+1,jj) |
---|
| 1590 | |
---|
| 1591 | IF( PRESENT(pfu_ups) ) THEN |
---|
| 1592 | |
---|
| 1593 | IF( pu(ji,jj) > 0. ) THEN ; Rr = Rjm |
---|
| 1594 | ELSE ; Rr = Rjp |
---|
| 1595 | ENDIF |
---|
| 1596 | |
---|
| 1597 | zh3 = pfu_ho(ji,jj) - pfu_ups(ji,jj) |
---|
| 1598 | IF( Rj > 0. ) THEN |
---|
| 1599 | zlimiter = MAX( 0., MIN( zh3, MAX(-Rr * 0.5 * ABS(puc(ji,jj)), & |
---|
| 1600 | & MIN( 2. * Rr * 0.5 * ABS(puc(ji,jj)), zh3, 1.5 * Rj * 0.5 * ABS(puc(ji,jj)) ) ) ) ) |
---|
| 1601 | ELSE |
---|
| 1602 | zlimiter = -MAX( 0., MIN(-zh3, MAX( Rr * 0.5 * ABS(puc(ji,jj)), & |
---|
| 1603 | & MIN(-2. * Rr * 0.5 * ABS(puc(ji,jj)), -zh3, -1.5 * Rj * 0.5 * ABS(puc(ji,jj)) ) ) ) ) |
---|
| 1604 | ENDIF |
---|
| 1605 | pfu_ho(ji,jj) = pfu_ups(ji,jj) + zlimiter |
---|
| 1606 | |
---|
| 1607 | ELSE |
---|
| 1608 | IF( Rj /= 0. ) THEN |
---|
| 1609 | IF( pu(ji,jj) > 0. ) THEN ; Cr = Rjm / Rj |
---|
| 1610 | ELSE ; Cr = Rjp / Rj |
---|
| 1611 | ENDIF |
---|
| 1612 | ELSE |
---|
| 1613 | Cr = 0. |
---|
| 1614 | !IF( pu(ji,jj) > 0. ) THEN ; Cr = Rjm * 1.e20 |
---|
| 1615 | !ELSE ; Cr = Rjp * 1.e20 |
---|
| 1616 | !ENDIF |
---|
| 1617 | ENDIF |
---|
| 1618 | |
---|
| 1619 | ! -- superbee -- |
---|
| 1620 | zpsi = MAX( 0., MAX( MIN(1.,2.*Cr), MIN(2.,Cr) ) ) |
---|
| 1621 | ! -- van albada 2 -- |
---|
| 1622 | !!zpsi = 2.*Cr / (Cr*Cr+1.) |
---|
| 1623 | |
---|
| 1624 | ! -- sweby (with beta=1) -- |
---|
| 1625 | !!zpsi = MAX( 0., MAX( MIN(1.,1.*Cr), MIN(1.,Cr) ) ) |
---|
| 1626 | ! -- van Leer -- |
---|
| 1627 | !!zpsi = ( Cr + ABS(Cr) ) / ( 1. + ABS(Cr) ) |
---|
| 1628 | ! -- ospre -- |
---|
| 1629 | !!zpsi = 1.5 * ( Cr*Cr + Cr ) / ( Cr*Cr + Cr + 1. ) |
---|
| 1630 | ! -- koren -- |
---|
| 1631 | !!zpsi = MAX( 0., MIN( 2.*Cr, MIN( (1.+2*Cr)/3., 2. ) ) ) |
---|
| 1632 | ! -- charm -- |
---|
| 1633 | !IF( Cr > 0. ) THEN ; zpsi = Cr * (3.*Cr + 1.) / ( (Cr + 1.) * (Cr + 1.) ) |
---|
| 1634 | !ELSE ; zpsi = 0. |
---|
| 1635 | !ENDIF |
---|
| 1636 | ! -- van albada 1 -- |
---|
| 1637 | !!zpsi = (Cr*Cr + Cr) / (Cr*Cr +1) |
---|
| 1638 | ! -- smart -- |
---|
| 1639 | !!zpsi = MAX( 0., MIN( 2.*Cr, MIN( 0.25+0.75*Cr, 4. ) ) ) |
---|
| 1640 | ! -- umist -- |
---|
| 1641 | !!zpsi = MAX( 0., MIN( 2.*Cr, MIN( 0.25+0.75*Cr, MIN(0.75+0.25*Cr, 2. ) ) ) ) |
---|
| 1642 | |
---|
| 1643 | ! high order flux corrected by the limiter |
---|
| 1644 | pfu_ho(ji,jj) = pfu_ho(ji,jj) - ABS( puc(ji,jj) ) * ( (1.-zpsi) + uCFL*zpsi ) * Rj * 0.5 |
---|
| 1645 | |
---|
| 1646 | ENDIF |
---|
| 1647 | END DO |
---|
| 1648 | END DO |
---|
| 1649 | CALL lbc_lnk( pfu_ho, 'U', -1.) ! lateral boundary cond. |
---|
| 1650 | ! |
---|
| 1651 | END SUBROUTINE limiter_x |
---|
| 1652 | |
---|
| 1653 | SUBROUTINE limiter_y( pdt, pv, pvc, pt, pfv_ho, pfv_ups ) |
---|
| 1654 | !!--------------------------------------------------------------------- |
---|
| 1655 | !! *** ROUTINE limiter_y *** |
---|
| 1656 | !! |
---|
| 1657 | !! ** Purpose : compute flux limiter |
---|
| 1658 | !!---------------------------------------------------------------------- |
---|
| 1659 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
| 1660 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: pv ! ice i-velocity => u*e2 |
---|
| 1661 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: pvc ! ice i-velocity *A => u*e2*a |
---|
| 1662 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: pt ! ice tracer |
---|
| 1663 | REAL(wp), DIMENSION (jpi,jpj), INTENT(inout) :: pfv_ho ! high order flux |
---|
| 1664 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ), OPTIONAL :: pfv_ups ! upstream flux |
---|
| 1665 | ! |
---|
| 1666 | REAL(wp) :: Cr, Rjm, Rj, Rjp, vCFL, zpsi, zh3, zlimiter, Rr |
---|
| 1667 | INTEGER :: ji, jj ! dummy loop indices |
---|
| 1668 | REAL(wp), DIMENSION (jpi,jpj) :: zslpy ! tracer slopes |
---|
| 1669 | !!---------------------------------------------------------------------- |
---|
| 1670 | ! |
---|
| 1671 | DO jj = 2, jpjm1 |
---|
| 1672 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 1673 | zslpy(ji,jj) = ( pt(ji,jj+1) - pt(ji,jj) ) * vmask(ji,jj,1) |
---|
| 1674 | END DO |
---|
| 1675 | END DO |
---|
| 1676 | CALL lbc_lnk( zslpy, 'V', -1.) ! lateral boundary cond. |
---|
| 1677 | |
---|
| 1678 | DO jj = 2, jpjm1 |
---|
| 1679 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 1680 | vCFL = pdt * ABS( pv(ji,jj) ) * r1_e1e2t(ji,jj) |
---|
| 1681 | |
---|
| 1682 | Rjm = zslpy(ji,jj-1) |
---|
| 1683 | Rj = zslpy(ji,jj ) |
---|
| 1684 | Rjp = zslpy(ji,jj+1) |
---|
| 1685 | |
---|
| 1686 | IF( PRESENT(pfv_ups) ) THEN |
---|
| 1687 | |
---|
| 1688 | IF( pv(ji,jj) > 0. ) THEN ; Rr = Rjm |
---|
| 1689 | ELSE ; Rr = Rjp |
---|
| 1690 | ENDIF |
---|
| 1691 | |
---|
| 1692 | zh3 = pfv_ho(ji,jj) - pfv_ups(ji,jj) |
---|
| 1693 | IF( Rj > 0. ) THEN |
---|
| 1694 | zlimiter = MAX( 0., MIN( zh3, MAX(-Rr * 0.5 * ABS(pvc(ji,jj)), & |
---|
| 1695 | & MIN( 2. * Rr * 0.5 * ABS(pvc(ji,jj)), zh3, 1.5 * Rj * 0.5 * ABS(pvc(ji,jj)) ) ) ) ) |
---|
| 1696 | ELSE |
---|
| 1697 | zlimiter = -MAX( 0., MIN(-zh3, MAX( Rr * 0.5 * ABS(pvc(ji,jj)), & |
---|
| 1698 | & MIN(-2. * Rr * 0.5 * ABS(pvc(ji,jj)), -zh3, -1.5 * Rj * 0.5 * ABS(pvc(ji,jj)) ) ) ) ) |
---|
| 1699 | ENDIF |
---|
| 1700 | pfv_ho(ji,jj) = pfv_ups(ji,jj) + zlimiter |
---|
| 1701 | |
---|
| 1702 | ELSE |
---|
| 1703 | |
---|
| 1704 | IF( Rj /= 0. ) THEN |
---|
| 1705 | IF( pv(ji,jj) > 0. ) THEN ; Cr = Rjm / Rj |
---|
| 1706 | ELSE ; Cr = Rjp / Rj |
---|
| 1707 | ENDIF |
---|
| 1708 | ELSE |
---|
| 1709 | Cr = 0. |
---|
| 1710 | !IF( pv(ji,jj) > 0. ) THEN ; Cr = Rjm * 1.e20 |
---|
| 1711 | !ELSE ; Cr = Rjp * 1.e20 |
---|
| 1712 | !ENDIF |
---|
| 1713 | ENDIF |
---|
| 1714 | |
---|
| 1715 | ! -- superbee -- |
---|
| 1716 | zpsi = MAX( 0., MAX( MIN(1.,2.*Cr), MIN(2.,Cr) ) ) |
---|
| 1717 | ! -- van albada 2 -- |
---|
| 1718 | !!zpsi = 2.*Cr / (Cr*Cr+1.) |
---|
| 1719 | |
---|
| 1720 | ! -- sweby (with beta=1) -- |
---|
| 1721 | !!zpsi = MAX( 0., MAX( MIN(1.,1.*Cr), MIN(1.,Cr) ) ) |
---|
| 1722 | ! -- van Leer -- |
---|
| 1723 | !!zpsi = ( Cr + ABS(Cr) ) / ( 1. + ABS(Cr) ) |
---|
| 1724 | ! -- ospre -- |
---|
| 1725 | !!zpsi = 1.5 * ( Cr*Cr + Cr ) / ( Cr*Cr + Cr + 1. ) |
---|
| 1726 | ! -- koren -- |
---|
| 1727 | !!zpsi = MAX( 0., MIN( 2.*Cr, MIN( (1.+2*Cr)/3., 2. ) ) ) |
---|
| 1728 | ! -- charm -- |
---|
| 1729 | !IF( Cr > 0. ) THEN ; zpsi = Cr * (3.*Cr + 1.) / ( (Cr + 1.) * (Cr + 1.) ) |
---|
| 1730 | !ELSE ; zpsi = 0. |
---|
| 1731 | !ENDIF |
---|
| 1732 | ! -- van albada 1 -- |
---|
| 1733 | !!zpsi = (Cr*Cr + Cr) / (Cr*Cr +1) |
---|
| 1734 | ! -- smart -- |
---|
| 1735 | !!zpsi = MAX( 0., MIN( 2.*Cr, MIN( 0.25+0.75*Cr, 4. ) ) ) |
---|
| 1736 | ! -- umist -- |
---|
| 1737 | !!zpsi = MAX( 0., MIN( 2.*Cr, MIN( 0.25+0.75*Cr, MIN(0.75+0.25*Cr, 2. ) ) ) ) |
---|
| 1738 | |
---|
| 1739 | ! high order flux corrected by the limiter |
---|
| 1740 | pfv_ho(ji,jj) = pfv_ho(ji,jj) - ABS( pvc(ji,jj) ) * ( (1.-zpsi) + vCFL*zpsi ) * Rj * 0.5 |
---|
| 1741 | |
---|
| 1742 | ENDIF |
---|
| 1743 | END DO |
---|
| 1744 | END DO |
---|
| 1745 | CALL lbc_lnk( pfv_ho, 'V', -1.) ! lateral boundary cond. |
---|
| 1746 | ! |
---|
| 1747 | END SUBROUTINE limiter_y |
---|
| 1748 | |
---|
[8586] | 1749 | #else |
---|
| 1750 | !!---------------------------------------------------------------------- |
---|
[9570] | 1751 | !! Default option Dummy module NO SI3 sea-ice model |
---|
[8586] | 1752 | !!---------------------------------------------------------------------- |
---|
| 1753 | #endif |
---|
| 1754 | |
---|
| 1755 | !!====================================================================== |
---|
| 1756 | END MODULE icedyn_adv_umx |
---|