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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7 | !! 4.0 ! 2018 (many people) SI3 [aka Sea Ice cube] |
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8 | !!---------------------------------------------------------------------- |
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9 | #if defined key_si3 |
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10 | !!---------------------------------------------------------------------- |
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11 | !! 'key_si3' SI3 sea-ice model |
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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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16 | !! nonosc : compute monotonic tracer fluxes by a non-oscillatory algorithm |
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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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22 | USE icevar ! sea-ice: operations |
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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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37 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: amaxu, amaxv |
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38 | |
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39 | ! advect H all the way (and get V=H*A at the end) |
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40 | LOGICAL :: ll_thickness = .FALSE. |
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41 | |
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42 | ! look for 9 points around in nonosc limiter |
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43 | LOGICAL :: ll_9points = .FALSE. ! false=better h? |
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44 | |
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45 | ! use HgradU in nonosc limiter |
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46 | LOGICAL :: ll_HgradU = .TRUE. ! no effect? |
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47 | |
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48 | ! if T interpolated at u/v points is negative, then interpolate T at u/v points using the upstream scheme |
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49 | LOGICAL :: ll_neg = .TRUE. ! keep TRUE |
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50 | |
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51 | ! limit the fluxes |
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52 | 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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53 | LOGICAL :: ll_zeroup2 = .FALSE. ! false ok for 1D, 2D, 3D |
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54 | LOGICAL :: ll_zeroup4 = .FALSE. ! false ok for 1D, 2D, 3D |
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55 | LOGICAL :: ll_zeroup5 = .FALSE. ! false ok for 1D, 2D |
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56 | |
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57 | ! fluxes that are limited are u*H, then (u*H)*(ua/u) is used for V (only for nonosc) |
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58 | LOGICAL :: ll_clem = .TRUE. ! simpler than rachid and works |
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59 | |
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60 | ! First advect H as H*=Hdiv(u), then use H* for H(n+1)=H(n)-div(uH*) |
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61 | LOGICAL :: ll_gurvan = .FALSE. ! must be false for 1D case !! |
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62 | |
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63 | ! First guess as div(uH) (-true-) or Hdiv(u)+ugradH (-false-) |
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64 | LOGICAL :: ll_1stguess_clem = .FALSE. ! better negative values but less good h |
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65 | |
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66 | ! advect (or not) open water. If not, retrieve it from advection of A |
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67 | LOGICAL :: ll_ADVopw = .FALSE. ! |
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68 | |
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69 | ! alternate directions for upstream |
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70 | LOGICAL :: ll_upsxy = .TRUE. |
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71 | |
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72 | ! alternate directions for high order |
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73 | LOGICAL :: ll_hoxy = .TRUE. |
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74 | |
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75 | ! prelimiter: use it to avoid overshoot in H |
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76 | 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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77 | LOGICAL :: ll_prelimiter_devore = .FALSE. ! from: Devore eq. 11 (worth than zalesak) |
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78 | |
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79 | ! iterate on the limiter (only nonosc) |
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80 | LOGICAL :: ll_limiter_it2 = .FALSE. |
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81 | |
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82 | |
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83 | !! * Substitutions |
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84 | # include "vectopt_loop_substitute.h90" |
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85 | !!---------------------------------------------------------------------- |
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86 | !! NEMO/ICE 4.0 , NEMO Consortium (2018) |
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87 | !! $Id$ |
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88 | !! Software governed by the CeCILL licence (./LICENSE) |
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89 | !!---------------------------------------------------------------------- |
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90 | CONTAINS |
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91 | |
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92 | SUBROUTINE ice_dyn_adv_umx( kn_umx, kt, pu_ice, pv_ice, & |
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93 | & pato_i, pv_i, pv_s, psv_i, poa_i, pa_i, pa_ip, pv_ip, pe_s, pe_i ) |
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94 | !!---------------------------------------------------------------------- |
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95 | !! *** ROUTINE ice_dyn_adv_umx *** |
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96 | !! |
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97 | !! ** Purpose : Compute the now trend due to total advection of |
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98 | !! tracers and add it to the general trend of tracer equations |
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99 | !! using an "Ultimate-Macho" scheme |
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100 | !! |
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101 | !! Reference : Leonard, B.P., 1991, Comput. Methods Appl. Mech. Eng., 88, 17-74. |
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102 | !!---------------------------------------------------------------------- |
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103 | INTEGER , INTENT(in ) :: kn_umx ! order of the scheme (1-5=UM or 20=CEN2) |
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104 | INTEGER , INTENT(in ) :: kt ! time step |
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105 | REAL(wp), DIMENSION(:,:) , INTENT(in ) :: pu_ice ! ice i-velocity |
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106 | REAL(wp), DIMENSION(:,:) , INTENT(in ) :: pv_ice ! ice j-velocity |
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107 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pato_i ! open water area |
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108 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_i ! ice volume |
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109 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_s ! snw volume |
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110 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: psv_i ! salt content |
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111 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: poa_i ! age content |
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112 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pa_i ! ice concentration |
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113 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pa_ip ! melt pond fraction |
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114 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_ip ! melt pond volume |
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115 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_s ! snw heat content |
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116 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_i ! ice heat content |
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117 | ! |
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118 | INTEGER :: ji, jj, jk, jl, jt ! dummy loop indices |
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119 | INTEGER :: icycle ! number of sub-timestep for the advection |
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120 | REAL(wp) :: zamsk ! 1 if advection of concentration, 0 if advection of other tracers |
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121 | REAL(wp) :: zcfl , zdt |
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122 | REAL(wp), DIMENSION(jpi,jpj) :: zudy, zvdx, zcu_box, zcv_box, zua_ho, zva_ho |
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123 | REAL(wp), DIMENSION(jpi,jpj) :: zhvar |
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124 | REAL(wp), DIMENSION(jpi,jpj) :: zati1, zati2, z1_ai, z1_aip |
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125 | !!---------------------------------------------------------------------- |
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126 | ! |
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127 | IF( kt == nit000 .AND. lwp ) WRITE(numout,*) '-- ice_dyn_adv_umx: Ultimate-Macho advection scheme' |
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128 | ! |
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129 | ! |
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130 | ! --- If ice drift field is too fast, use an appropriate time step for advection (CFL test for stability) --- ! |
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131 | zcfl = MAXVAL( ABS( pu_ice(:,:) ) * rdt_ice * r1_e1u(:,:) ) |
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132 | zcfl = MAX( zcfl, MAXVAL( ABS( pv_ice(:,:) ) * rdt_ice * r1_e2v(:,:) ) ) |
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133 | IF( lk_mpp ) CALL mpp_max( zcfl ) |
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134 | |
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135 | IF( zcfl > 0.5 ) THEN ; icycle = 2 |
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136 | ELSE ; icycle = 1 |
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137 | ENDIF |
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138 | |
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139 | zdt = rdt_ice / REAL(icycle) |
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140 | |
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141 | ! --- transport --- ! |
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142 | zudy(:,:) = pu_ice(:,:) * e2u(:,:) |
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143 | zvdx(:,:) = pv_ice(:,:) * e1v(:,:) |
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144 | |
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145 | ! --- define velocity for advection: u*grad(H) --- ! |
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146 | DO jj = 2, jpjm1 |
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147 | DO ji = fs_2, fs_jpim1 |
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148 | IF ( pu_ice(ji,jj) * pu_ice(ji-1,jj) <= 0._wp ) THEN ; zcu_box(ji,jj) = 0._wp |
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149 | ELSEIF( pu_ice(ji,jj) > 0._wp ) THEN ; zcu_box(ji,jj) = pu_ice(ji-1,jj) |
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150 | ELSE ; zcu_box(ji,jj) = pu_ice(ji ,jj) |
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151 | ENDIF |
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152 | |
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153 | IF ( pv_ice(ji,jj) * pv_ice(ji,jj-1) <= 0._wp ) THEN ; zcv_box(ji,jj) = 0._wp |
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154 | ELSEIF( pv_ice(ji,jj) > 0._wp ) THEN ; zcv_box(ji,jj) = pv_ice(ji,jj-1) |
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155 | ELSE ; zcv_box(ji,jj) = pv_ice(ji,jj ) |
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156 | ENDIF |
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157 | END DO |
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158 | END DO |
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159 | |
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160 | IF( ll_zeroup2 ) THEN |
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161 | IF(.NOT. ALLOCATED(amaxu)) ALLOCATE(amaxu (jpi,jpj)) |
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162 | IF(.NOT. ALLOCATED(amaxv)) ALLOCATE(amaxv (jpi,jpj)) |
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163 | ENDIF |
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164 | !---------------! |
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165 | !== advection ==! |
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166 | !---------------! |
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167 | DO jt = 1, icycle |
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168 | |
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169 | IF( ll_ADVopw ) THEN |
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170 | zamsk = 1._wp |
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171 | 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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172 | zamsk = 0._wp |
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173 | ELSE |
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174 | zati1(:,:) = SUM( pa_i(:,:,:), dim=3 ) |
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175 | ENDIF |
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176 | |
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177 | DO jl = 1, jpl |
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178 | ! |
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179 | WHERE( pa_i(:,:,jl) >= epsi20 ) ; z1_ai(:,:) = 1._wp / pa_i(:,:,jl) |
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180 | ELSEWHERE ; z1_ai(:,:) = 0. |
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181 | END WHERE |
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182 | ! |
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183 | WHERE( pa_ip(:,:,jl) >= epsi20 ) ; z1_aip(:,:) = 1._wp / pa_ip(:,:,jl) |
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184 | ELSEWHERE ; z1_aip(:,:) = 0. |
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185 | END WHERE |
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186 | ! |
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187 | IF( ll_zeroup2 ) THEN |
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188 | DO jj = 2, jpjm1 |
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189 | DO ji = fs_2, fs_jpim1 |
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190 | 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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191 | & pa_i(ji+1,jj,jl), pa_i(ji+1,jj-1,jl), pa_i(ji+1,jj+1,jl) ) |
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192 | 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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193 | & pa_i(ji,jj+1,jl), pa_i(ji-1,jj+1,jl), pa_i(ji+1,jj+1,jl) ) |
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194 | END DO |
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195 | END DO |
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196 | CALL lbc_lnk_multi(amaxu, 'T', 1., amaxv, 'T', 1.) |
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197 | ENDIF |
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198 | ! |
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199 | zamsk = 1._wp |
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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), & ! Ice area |
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201 | & zua_ho, zva_ho ) |
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202 | zamsk = 0._wp |
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203 | ! |
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204 | IF( ll_thickness ) THEN |
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205 | zua_ho(:,:) = zudy(:,:) |
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206 | zva_ho(:,:) = zvdx(:,:) |
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207 | ENDIF |
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208 | ! |
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209 | zhvar(:,:) = pv_i(:,:,jl) * z1_ai(:,:) |
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210 | 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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211 | IF( ll_thickness ) pv_i(:,:,jl) = zhvar(:,:) * pa_i(:,:,jl) |
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212 | ! |
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213 | zhvar(:,:) = pv_s(:,:,jl) * z1_ai(:,:) |
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214 | 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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215 | IF( ll_thickness ) pv_s(:,:,jl) = zhvar(:,:) * pa_i(:,:,jl) |
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216 | ! |
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217 | zhvar(:,:) = psv_i(:,:,jl) * z1_ai(:,:) |
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218 | 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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219 | ! |
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220 | zhvar(:,:) = poa_i(:,:,jl) * z1_ai(:,:) |
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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(:,:), poa_i(:,:,jl) ) ! Age content |
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222 | ! |
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223 | DO jk = 1, nlay_i |
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224 | zhvar(:,:) = pe_i(:,:,jk,jl) * z1_ai(:,:) |
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225 | 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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226 | END DO |
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227 | ! |
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228 | DO jk = 1, nlay_s |
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229 | zhvar(:,:) = pe_s(:,:,jk,jl) * z1_ai(:,:) |
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230 | 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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231 | END DO |
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232 | ! |
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233 | IF ( ln_pnd_H12 ) THEN |
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234 | ! |
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235 | zamsk = 1._wp |
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236 | CALL adv_umx( zamsk, kn_umx, jt, kt, zdt, zudy, zvdx, zudy, zvdx, zcu_box, zcv_box, pa_ip(:,:,jl), pa_ip(:,:,jl), & ! mp fraction |
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237 | & zua_ho, zva_ho ) |
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238 | zamsk = 0._wp |
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239 | |
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240 | zhvar(:,:) = pv_ip(:,:,jl) * z1_ai(:,:) |
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241 | 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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242 | ENDIF |
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243 | ! |
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244 | ! |
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245 | END DO |
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246 | ! |
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247 | IF( .NOT. ll_ADVopw ) THEN |
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248 | zati2(:,:) = SUM( pa_i(:,:,:), dim=3 ) |
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249 | DO jj = 2, jpjm1 |
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250 | DO ji = fs_2, fs_jpim1 |
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251 | pato_i(ji,jj) = pato_i(ji,jj) - ( zati2(ji,jj) - zati1(ji,jj) ) & ! Open water area |
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252 | & - ( zudy(ji,jj) - zudy(ji-1,jj) + zvdx(ji,jj) - zvdx(ji,jj-1) )*r1_e1e2t(ji,jj)*zdt |
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253 | END DO |
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254 | END DO |
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255 | CALL lbc_lnk( pato_i(:,:), 'T', 1. ) |
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256 | ENDIF |
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257 | ! |
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258 | END DO |
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259 | ! |
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260 | END SUBROUTINE ice_dyn_adv_umx |
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261 | |
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262 | |
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263 | 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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264 | !!---------------------------------------------------------------------- |
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265 | !! *** ROUTINE adv_umx *** |
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266 | !! |
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267 | !! ** Purpose : Compute the now trend due to total advection of |
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268 | !! tracers and add it to the general trend of tracer equations |
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269 | !! |
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270 | !! ** Method : TVD scheme, i.e. 2nd order centered scheme with |
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271 | !! corrected flux (monotonic correction) |
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272 | !! note: - this advection scheme needs a leap-frog time scheme |
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273 | !! |
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274 | !! ** Action : - pt the after advective tracer |
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275 | !!---------------------------------------------------------------------- |
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276 | REAL(wp) , INTENT(in ) :: pamsk ! advection of concentration (1) or other tracers (0) |
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277 | INTEGER , INTENT(in ) :: kn_umx ! order of the scheme (1-5=UM or 20=CEN2) |
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278 | INTEGER , INTENT(in ) :: jt ! number of sub-iteration |
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279 | INTEGER , INTENT(in ) :: kt ! number of iteration |
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280 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
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281 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pu , pv ! 2 ice velocity components => u*e2 |
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282 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: puc , pvc ! 2 ice velocity components => u*e2 or u*a*e2u |
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283 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pubox, pvbox ! upstream velocity |
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284 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: pt ! tracer field |
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285 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: ptc ! tracer content field |
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286 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out), OPTIONAL :: pua_ho, pva_ho ! high order u*a fluxes |
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287 | ! |
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288 | INTEGER :: ji, jj ! dummy loop indices |
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289 | REAL(wp) :: ztra ! local scalar |
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290 | INTEGER :: kn_limiter = 1 ! 1=nonosc ; 2=superbee ; 3=h3(rachid) |
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291 | REAL(wp), DIMENSION(jpi,jpj) :: zfu_ho , zfv_ho , zt_u, zt_v, zpt |
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292 | REAL(wp), DIMENSION(jpi,jpj) :: zfu_ups, zfv_ups, zt_ups ! only for nonosc |
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293 | !!---------------------------------------------------------------------- |
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294 | ! |
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295 | ! upstream (_ups) advection with initial mass fluxes |
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296 | ! --------------------------------------------------- |
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297 | |
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298 | IF( ll_gurvan .AND. pamsk==0. ) THEN |
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299 | DO jj = 2, jpjm1 |
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300 | DO ji = fs_2, fs_jpim1 |
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301 | pt(ji,jj) = ( pt (ji,jj) + pt(ji,jj) * pdt * ( pu(ji,jj) - pu(ji-1,jj) ) * r1_e1e2t(ji,jj) & |
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302 | & + pt(ji,jj) * pdt * ( pv(ji,jj) - pv(ji,jj-1) ) * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
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303 | END DO |
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304 | END DO |
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305 | CALL lbc_lnk( pt, 'T', 1. ) |
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306 | ENDIF |
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307 | |
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308 | |
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309 | IF( .NOT. ll_upsxy ) THEN |
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310 | |
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311 | ! fluxes in both x-y directions |
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312 | DO jj = 1, jpjm1 |
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313 | DO ji = 1, fs_jpim1 |
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314 | IF( ll_clem ) THEN |
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315 | zfu_ups(ji,jj) = MAX( pu(ji,jj), 0._wp ) * pt(ji,jj) + MIN( pu(ji,jj), 0._wp ) * pt(ji+1,jj) |
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316 | zfv_ups(ji,jj) = MAX( pv(ji,jj), 0._wp ) * pt(ji,jj) + MIN( pv(ji,jj), 0._wp ) * pt(ji,jj+1) |
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317 | ELSE |
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318 | zfu_ups(ji,jj) = MAX( puc(ji,jj), 0._wp ) * pt(ji,jj) + MIN( puc(ji,jj), 0._wp ) * pt(ji+1,jj) |
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319 | zfv_ups(ji,jj) = MAX( pvc(ji,jj), 0._wp ) * pt(ji,jj) + MIN( pvc(ji,jj), 0._wp ) * pt(ji,jj+1) |
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320 | ENDIF |
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321 | END DO |
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322 | END DO |
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323 | |
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324 | ELSE |
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325 | ! |
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326 | IF( MOD( (kt - 1) / nn_fsbc , 2 ) == MOD( (jt - 1) , 2 ) ) THEN !== odd ice time step: adv_x then adv_y ==! |
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327 | ! flux in x-direction |
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328 | DO jj = 1, jpjm1 |
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329 | DO ji = 1, fs_jpim1 |
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330 | IF( ll_clem ) THEN |
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331 | zfu_ups(ji,jj) = MAX( pu(ji,jj), 0._wp ) * pt(ji,jj) + MIN( pu(ji,jj), 0._wp ) * pt(ji+1,jj) |
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332 | ELSE |
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333 | zfu_ups(ji,jj) = MAX( puc(ji,jj), 0._wp ) * pt(ji,jj) + MIN( puc(ji,jj), 0._wp ) * pt(ji+1,jj) |
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334 | ENDIF |
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335 | END DO |
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336 | END DO |
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337 | |
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338 | ! first guess of tracer content from u-flux |
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339 | DO jj = 2, jpjm1 |
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340 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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341 | IF( ll_clem ) THEN |
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342 | IF( ll_gurvan ) THEN |
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343 | zpt(ji,jj) = ( pt(ji,jj) - ( zfu_ups(ji,jj) - zfu_ups(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
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344 | ELSE |
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345 | zpt(ji,jj) = ( pt(ji,jj) - ( zfu_ups(ji,jj) - zfu_ups(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
346 | & + pt(ji,jj) * pdt * ( pu(ji,jj) - pu(ji-1,jj) ) * r1_e1e2t(ji,jj) * (1.-pamsk) & |
---|
347 | & ) * tmask(ji,jj,1) |
---|
348 | ENDIF |
---|
349 | ELSE |
---|
350 | zpt(ji,jj) = ( ptc(ji,jj) - ( zfu_ups(ji,jj) - zfu_ups(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) ) & |
---|
351 | & * tmask(ji,jj,1) |
---|
352 | ENDIF |
---|
353 | !! IF( ji==26 .AND. jj==86) THEN |
---|
354 | !! WRITE(numout,*) '************************' |
---|
355 | !! WRITE(numout,*) 'zpt upstream',zpt(ji,jj) |
---|
356 | !! ENDIF |
---|
357 | END DO |
---|
358 | END DO |
---|
359 | CALL lbc_lnk( zpt, 'T', 1. ) |
---|
360 | ! |
---|
361 | ! flux in y-direction |
---|
362 | DO jj = 1, jpjm1 |
---|
363 | DO ji = 1, fs_jpim1 |
---|
364 | IF( ll_clem ) THEN |
---|
365 | zfv_ups(ji,jj) = MAX( pv(ji,jj), 0._wp ) * zpt(ji,jj) + MIN( pv(ji,jj), 0._wp ) * zpt(ji,jj+1) |
---|
366 | ELSE |
---|
367 | zfv_ups(ji,jj) = MAX( pvc(ji,jj), 0._wp ) * zpt(ji,jj) + MIN( pvc(ji,jj), 0._wp ) * zpt(ji,jj+1) |
---|
368 | ENDIF |
---|
369 | END DO |
---|
370 | END DO |
---|
371 | |
---|
372 | ! |
---|
373 | ELSE !== even ice time step: adv_y then adv_x ==! |
---|
374 | ! flux in y-direction |
---|
375 | DO jj = 1, jpjm1 |
---|
376 | DO ji = 1, fs_jpim1 |
---|
377 | IF( ll_clem ) THEN |
---|
378 | zfv_ups(ji,jj) = MAX( pv(ji,jj), 0._wp ) * pt(ji,jj) + MIN( pv(ji,jj), 0._wp ) * pt(ji,jj+1) |
---|
379 | ELSE |
---|
380 | zfv_ups(ji,jj) = MAX( pvc(ji,jj), 0._wp ) * pt(ji,jj) + MIN( pvc(ji,jj), 0._wp ) * pt(ji,jj+1) |
---|
381 | ENDIF |
---|
382 | END DO |
---|
383 | END DO |
---|
384 | |
---|
385 | ! first guess of tracer content from v-flux |
---|
386 | DO jj = 2, jpjm1 |
---|
387 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
388 | IF( ll_clem ) THEN |
---|
389 | IF( ll_gurvan ) THEN |
---|
390 | zpt(ji,jj) = ( pt(ji,jj) - ( zfv_ups(ji,jj) - zfv_ups(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
391 | ELSE |
---|
392 | zpt(ji,jj) = ( pt(ji,jj) - ( zfv_ups(ji,jj) - zfv_ups(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) & |
---|
393 | & + pt(ji,jj) * pdt * ( pv(ji,jj) - pv(ji,jj-1) ) * r1_e1e2t(ji,jj) * (1.-pamsk) ) & |
---|
394 | & * tmask(ji,jj,1) |
---|
395 | ENDIF |
---|
396 | ELSE |
---|
397 | zpt(ji,jj) = ( ptc(ji,jj) - ( zfv_ups(ji,jj) - zfv_ups(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) ) & |
---|
398 | & * tmask(ji,jj,1) |
---|
399 | ENDIF |
---|
400 | !! IF( ji==26 .AND. jj==86) THEN |
---|
401 | !! WRITE(numout,*) '************************' |
---|
402 | !! WRITE(numout,*) 'zpt upstream',zpt(ji,jj) |
---|
403 | !! ENDIF |
---|
404 | END DO |
---|
405 | END DO |
---|
406 | CALL lbc_lnk( zpt, 'T', 1. ) |
---|
407 | ! |
---|
408 | ! flux in x-direction |
---|
409 | DO jj = 1, jpjm1 |
---|
410 | DO ji = 1, fs_jpim1 |
---|
411 | IF( ll_clem ) THEN |
---|
412 | zfu_ups(ji,jj) = MAX( pu(ji,jj), 0._wp ) * zpt(ji,jj) + MIN( pu(ji,jj), 0._wp ) * zpt(ji+1,jj) |
---|
413 | ELSE |
---|
414 | zfu_ups(ji,jj) = MAX( puc(ji,jj), 0._wp ) * zpt(ji,jj) + MIN( puc(ji,jj), 0._wp ) * zpt(ji+1,jj) |
---|
415 | ENDIF |
---|
416 | END DO |
---|
417 | END DO |
---|
418 | ! |
---|
419 | ENDIF |
---|
420 | |
---|
421 | ENDIF |
---|
422 | |
---|
423 | IF( ll_clem .AND. kn_limiter /= 1 ) & |
---|
424 | & CALL ctl_stop( 'STOP', 'icedyn_adv_umx: ll_clem incompatible with limiters other than nonosc' ) |
---|
425 | |
---|
426 | IF( ll_zeroup2 ) THEN |
---|
427 | DO jj = 1, jpjm1 |
---|
428 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
429 | IF( amaxu(ji,jj) == 0._wp ) zfu_ups(ji,jj) = 0._wp |
---|
430 | IF( amaxv(ji,jj) == 0._wp ) zfv_ups(ji,jj) = 0._wp |
---|
431 | END DO |
---|
432 | END DO |
---|
433 | ENDIF |
---|
434 | |
---|
435 | ! guess after content field with upstream scheme |
---|
436 | DO jj = 2, jpjm1 |
---|
437 | DO ji = fs_2, fs_jpim1 |
---|
438 | ztra = - ( zfu_ups(ji,jj) - zfu_ups(ji-1,jj ) & |
---|
439 | & + zfv_ups(ji,jj) - zfv_ups(ji ,jj-1) ) * r1_e1e2t(ji,jj) |
---|
440 | IF( ll_clem ) THEN |
---|
441 | IF( ll_gurvan ) THEN |
---|
442 | zt_ups(ji,jj) = ( pt (ji,jj) + pdt * ztra ) * tmask(ji,jj,1) |
---|
443 | ELSE |
---|
444 | zt_ups(ji,jj) = ( pt (ji,jj) + pdt * ztra + ( pt(ji,jj) * pdt * ( pu(ji,jj) - pu(ji-1,jj) ) & |
---|
445 | & + pt(ji,jj) * pdt * ( pv(ji,jj) - pv(ji,jj-1) ) ) & |
---|
446 | & * r1_e1e2t(ji,jj) * (1.-pamsk) ) * tmask(ji,jj,1) |
---|
447 | ENDIF |
---|
448 | ELSE |
---|
449 | zt_ups(ji,jj) = ( ptc(ji,jj) + pdt * ztra ) * tmask(ji,jj,1) |
---|
450 | ENDIF |
---|
451 | !! IF( ji==26 .AND. jj==86) THEN |
---|
452 | !! WRITE(numout,*) '**************************' |
---|
453 | !! WRITE(numout,*) 'zt upstream',zt_ups(ji,jj) |
---|
454 | !! ENDIF |
---|
455 | END DO |
---|
456 | END DO |
---|
457 | CALL lbc_lnk( zt_ups, 'T', 1. ) |
---|
458 | |
---|
459 | ! High order (_ho) fluxes |
---|
460 | ! ----------------------- |
---|
461 | SELECT CASE( kn_umx ) |
---|
462 | ! |
---|
463 | CASE ( 20 ) !== centered second order ==! |
---|
464 | ! |
---|
465 | CALL cen2( pamsk, kn_limiter, jt, kt, pdt, pt, pu, pv, puc, pvc, ptc, zfu_ho, zfv_ho, & |
---|
466 | & zt_ups, zfu_ups, zfv_ups ) |
---|
467 | ! |
---|
468 | CASE ( 1:5 ) !== 1st to 5th order ULTIMATE-MACHO scheme ==! |
---|
469 | ! |
---|
470 | 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, & |
---|
471 | & zt_ups, zfu_ups, zfv_ups ) |
---|
472 | ! |
---|
473 | END SELECT |
---|
474 | |
---|
475 | IF( ll_thickness ) THEN |
---|
476 | ! final trend with corrected fluxes |
---|
477 | ! ------------------------------------ |
---|
478 | DO jj = 2, jpjm1 |
---|
479 | DO ji = fs_2, fs_jpim1 |
---|
480 | IF( ll_gurvan ) THEN |
---|
481 | ztra = - ( zfu_ho(ji,jj) - zfu_ho(ji-1,jj) + zfv_ho(ji,jj) - zfv_ho(ji,jj-1) ) * r1_e1e2t(ji,jj) |
---|
482 | ELSE |
---|
483 | ztra = ( - ( zfu_ho(ji,jj) - zfu_ho(ji-1,jj) + zfv_ho(ji,jj) - zfv_ho(ji,jj-1) ) & |
---|
484 | & + ( pt(ji,jj) * ( pu(ji,jj) - pu(ji-1,jj) ) * (1.-pamsk) ) & |
---|
485 | & + ( pt(ji,jj) * ( pv(ji,jj) - pv(ji,jj-1) ) * (1.-pamsk) ) ) * r1_e1e2t(ji,jj) |
---|
486 | ENDIF |
---|
487 | pt(ji,jj) = ( pt(ji,jj) + pdt * ztra ) * tmask(ji,jj,1) |
---|
488 | |
---|
489 | IF( pt(ji,jj) < -epsi20 ) THEN |
---|
490 | WRITE(numout,*) 'T<0 ',pt(ji,jj) |
---|
491 | ENDIF |
---|
492 | |
---|
493 | IF( pt(ji,jj) < 0._wp .AND. pt(ji,jj) >= -epsi20 ) pt(ji,jj) = 0._wp |
---|
494 | |
---|
495 | !! IF( ji==26 .AND. jj==86) THEN |
---|
496 | !! WRITE(numout,*) 'zt high order',pt(ji,jj) |
---|
497 | !! ENDIF |
---|
498 | END DO |
---|
499 | END DO |
---|
500 | CALL lbc_lnk( pt, 'T', 1. ) |
---|
501 | ENDIF |
---|
502 | |
---|
503 | ! Rachid trick |
---|
504 | ! ------------ |
---|
505 | IF( ll_clem ) THEN |
---|
506 | IF( pamsk == 0. ) THEN |
---|
507 | DO jj = 1, jpjm1 |
---|
508 | DO ji = 1, fs_jpim1 |
---|
509 | IF( ABS( puc(ji,jj) ) > 0._wp .AND. ABS( pu(ji,jj) ) > 0._wp ) THEN |
---|
510 | zfu_ho (ji,jj) = zfu_ho (ji,jj) * puc(ji,jj) / pu(ji,jj) |
---|
511 | zfu_ups(ji,jj) = zfu_ups(ji,jj) * puc(ji,jj) / pu(ji,jj) |
---|
512 | ELSE |
---|
513 | zfu_ho (ji,jj) = 0._wp |
---|
514 | zfu_ups(ji,jj) = 0._wp |
---|
515 | ENDIF |
---|
516 | ! |
---|
517 | IF( ABS( pvc(ji,jj) ) > 0._wp .AND. ABS( pv(ji,jj) ) > 0._wp ) THEN |
---|
518 | zfv_ho (ji,jj) = zfv_ho (ji,jj) * pvc(ji,jj) / pv(ji,jj) |
---|
519 | zfv_ups(ji,jj) = zfv_ups(ji,jj) * pvc(ji,jj) / pv(ji,jj) |
---|
520 | ELSE |
---|
521 | zfv_ho (ji,jj) = 0._wp |
---|
522 | zfv_ups(ji,jj) = 0._wp |
---|
523 | ENDIF |
---|
524 | ENDDO |
---|
525 | ENDDO |
---|
526 | ENDIF |
---|
527 | ENDIF |
---|
528 | |
---|
529 | IF( ll_zeroup5 ) THEN |
---|
530 | DO jj = 2, jpjm1 |
---|
531 | DO ji = 2, fs_jpim1 ! vector opt. |
---|
532 | zpt(ji,jj) = ( ptc(ji,jj) - ( zfu_ho(ji,jj) - zfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
533 | & - ( zfv_ho(ji,jj) - zfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
534 | IF( zpt(ji,jj) < 0. ) THEN |
---|
535 | zfu_ho(ji,jj) = zfu_ups(ji,jj) |
---|
536 | zfu_ho(ji-1,jj) = zfu_ups(ji-1,jj) |
---|
537 | zfv_ho(ji,jj) = zfv_ups(ji,jj) |
---|
538 | zfv_ho(ji,jj-1) = zfv_ups(ji,jj-1) |
---|
539 | ENDIF |
---|
540 | END DO |
---|
541 | END DO |
---|
542 | CALL lbc_lnk_multi( zfu_ho, 'U', -1., zfv_ho, 'V', -1. ) |
---|
543 | ENDIF |
---|
544 | |
---|
545 | ! output high order fluxes u*a |
---|
546 | ! ---------------------------- |
---|
547 | IF( PRESENT( pua_ho ) ) THEN |
---|
548 | DO jj = 1, jpjm1 |
---|
549 | DO ji = 1, fs_jpim1 |
---|
550 | pua_ho(ji,jj) = zfu_ho(ji,jj) |
---|
551 | pva_ho(ji,jj) = zfv_ho(ji,jj) |
---|
552 | END DO |
---|
553 | END DO |
---|
554 | ENDIF |
---|
555 | |
---|
556 | |
---|
557 | IF( .NOT.ll_thickness ) THEN |
---|
558 | ! final trend with corrected fluxes |
---|
559 | ! ------------------------------------ |
---|
560 | DO jj = 2, jpjm1 |
---|
561 | DO ji = fs_2, fs_jpim1 |
---|
562 | ztra = - ( zfu_ho(ji,jj) - zfu_ho(ji-1,jj) + zfv_ho(ji,jj) - zfv_ho(ji,jj-1) ) * r1_e1e2t(ji,jj) * pdt |
---|
563 | |
---|
564 | ptc(ji,jj) = ( ptc(ji,jj) + ztra ) * tmask(ji,jj,1) |
---|
565 | |
---|
566 | !! IF( ji==26 .AND. jj==86) THEN |
---|
567 | !! WRITE(numout,*) 'ztc high order',ptc(ji,jj) |
---|
568 | !! ENDIF |
---|
569 | |
---|
570 | END DO |
---|
571 | END DO |
---|
572 | CALL lbc_lnk( ptc, 'T', 1. ) |
---|
573 | ENDIF |
---|
574 | |
---|
575 | ! |
---|
576 | END SUBROUTINE adv_umx |
---|
577 | |
---|
578 | SUBROUTINE cen2( pamsk, kn_limiter, jt, kt, pdt, pt, pu, pv, puc, pvc, ptc, pfu_ho, pfv_ho, & |
---|
579 | & pt_ups, pfu_ups, pfv_ups ) |
---|
580 | !!--------------------------------------------------------------------- |
---|
581 | !! *** ROUTINE macho *** |
---|
582 | !! |
---|
583 | !! ** Purpose : compute |
---|
584 | !! |
---|
585 | !! ** Method : ... ??? |
---|
586 | !! TIM = transient interpolation Modeling |
---|
587 | !! |
---|
588 | !! Reference : Leonard, B.P., 1991, Comput. Methods Appl. Mech. Eng., 88, 17-74. |
---|
589 | !!---------------------------------------------------------------------- |
---|
590 | REAL(wp) , INTENT(in ) :: pamsk ! advection of concentration (1) or other tracers (0) |
---|
591 | INTEGER , INTENT(in ) :: kn_limiter ! limiter |
---|
592 | INTEGER , INTENT(in ) :: jt ! number of sub-iteration |
---|
593 | INTEGER , INTENT(in ) :: kt ! number of iteration |
---|
594 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
595 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pt ! tracer fields |
---|
596 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pu, pv ! 2 ice velocity components |
---|
597 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: puc, pvc ! 2 ice velocity * A components |
---|
598 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: ptc ! tracer content at before time step |
---|
599 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pfu_ho, pfv_ho ! high order fluxes |
---|
600 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pt_ups ! upstream guess of tracer content |
---|
601 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: pfu_ups, pfv_ups ! upstream fluxes |
---|
602 | ! |
---|
603 | INTEGER :: ji, jj ! dummy loop indices |
---|
604 | LOGICAL :: ll_xy = .TRUE. |
---|
605 | REAL(wp), DIMENSION(jpi,jpj) :: zzt |
---|
606 | !!---------------------------------------------------------------------- |
---|
607 | ! |
---|
608 | IF( .NOT.ll_xy ) THEN !-- no alternate directions --! |
---|
609 | ! |
---|
610 | DO jj = 1, jpjm1 |
---|
611 | DO ji = 1, fs_jpim1 |
---|
612 | IF( ll_clem ) THEN |
---|
613 | pfu_ho(ji,jj) = 0.5 * pu(ji,jj) * ( pt(ji,jj) + pt(ji+1,jj) ) |
---|
614 | pfv_ho(ji,jj) = 0.5 * pv(ji,jj) * ( pt(ji,jj) + pt(ji,jj+1) ) |
---|
615 | ELSE |
---|
616 | pfu_ho(ji,jj) = 0.5 * puc(ji,jj) * ( pt(ji,jj) + pt(ji+1,jj) ) |
---|
617 | pfv_ho(ji,jj) = 0.5 * pvc(ji,jj) * ( pt(ji,jj) + pt(ji,jj+1) ) |
---|
618 | ENDIF |
---|
619 | END DO |
---|
620 | END DO |
---|
621 | IF ( kn_limiter == 1 ) THEN |
---|
622 | IF( ll_clem ) THEN |
---|
623 | CALL nonosc_2d( pamsk, pdt, pu, puc, pv, pvc, ptc, pt, pt_ups, pfu_ups, pfv_ups, pfu_ho, pfv_ho ) |
---|
624 | ELSE |
---|
625 | CALL nonosc_2d( pamsk, pdt, pu, puc, pv, pvc, ptc, ptc, pt_ups, pfu_ups, pfv_ups, pfu_ho, pfv_ho ) |
---|
626 | ENDIF |
---|
627 | ELSEIF( kn_limiter == 2 ) THEN |
---|
628 | CALL limiter_x( pdt, pu, puc, pt, pfu_ho ) |
---|
629 | CALL limiter_y( pdt, pv, pvc, pt, pfv_ho ) |
---|
630 | ELSEIF( kn_limiter == 3 ) THEN |
---|
631 | CALL limiter_x( pdt, pu, puc, pt, pfu_ho, pfu_ups ) |
---|
632 | CALL limiter_y( pdt, pv, pvc, pt, pfv_ho, pfv_ups ) |
---|
633 | ENDIF |
---|
634 | ! |
---|
635 | ELSE !-- alternate directions --! |
---|
636 | ! |
---|
637 | IF( MOD( (kt - 1) / nn_fsbc , 2 ) == MOD( (jt - 1) , 2 ) ) THEN !== odd ice time step: adv_x then adv_y ==! |
---|
638 | ! |
---|
639 | ! flux in x-direction |
---|
640 | DO jj = 1, jpjm1 |
---|
641 | DO ji = 1, fs_jpim1 |
---|
642 | IF( ll_clem ) THEN |
---|
643 | pfu_ho(ji,jj) = 0.5 * pu(ji,jj) * ( pt(ji,jj) + pt(ji+1,jj) ) |
---|
644 | ELSE |
---|
645 | pfu_ho(ji,jj) = 0.5 * puc(ji,jj) * ( pt(ji,jj) + pt(ji+1,jj) ) |
---|
646 | ENDIF |
---|
647 | END DO |
---|
648 | END DO |
---|
649 | IF( kn_limiter == 2 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho ) |
---|
650 | IF( kn_limiter == 3 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho, pfu_ups ) |
---|
651 | |
---|
652 | ! first guess of tracer content from u-flux |
---|
653 | DO jj = 2, jpjm1 |
---|
654 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
655 | IF( ll_clem ) THEN |
---|
656 | zzt(ji,jj) = ( pt(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
657 | & + pt(ji,jj) * pdt * ( pu(ji,jj) - pu(ji-1,jj) ) * r1_e1e2t(ji,jj) * (1.-pamsk) ) & |
---|
658 | & * tmask(ji,jj,1) |
---|
659 | ELSE |
---|
660 | zzt(ji,jj) = ( ptc(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
661 | ENDIF |
---|
662 | END DO |
---|
663 | END DO |
---|
664 | CALL lbc_lnk( zzt, 'T', 1. ) |
---|
665 | |
---|
666 | ! flux in y-direction |
---|
667 | DO jj = 1, jpjm1 |
---|
668 | DO ji = 1, fs_jpim1 |
---|
669 | IF( ll_clem ) THEN |
---|
670 | pfv_ho(ji,jj) = 0.5 * pv(ji,jj) * ( zzt(ji,jj) + zzt(ji,jj+1) ) |
---|
671 | ELSE |
---|
672 | pfv_ho(ji,jj) = 0.5 * pvc(ji,jj) * ( zzt(ji,jj) + zzt(ji,jj+1) ) |
---|
673 | ENDIF |
---|
674 | END DO |
---|
675 | END DO |
---|
676 | IF( kn_limiter == 2 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho ) |
---|
677 | IF( kn_limiter == 3 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho, pfv_ups ) |
---|
678 | |
---|
679 | ELSE !== even ice time step: adv_y then adv_x ==! |
---|
680 | ! |
---|
681 | ! flux in y-direction |
---|
682 | DO jj = 1, jpjm1 |
---|
683 | DO ji = 1, fs_jpim1 |
---|
684 | IF( ll_clem ) THEN |
---|
685 | pfv_ho(ji,jj) = 0.5 * pv(ji,jj) * ( pt(ji,jj) + pt(ji,jj+1) ) |
---|
686 | ELSE |
---|
687 | pfv_ho(ji,jj) = 0.5 * pvc(ji,jj) * ( pt(ji,jj) + pt(ji,jj+1) ) |
---|
688 | ENDIF |
---|
689 | END DO |
---|
690 | END DO |
---|
691 | IF( kn_limiter == 2 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho ) |
---|
692 | IF( kn_limiter == 3 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho, pfv_ups ) |
---|
693 | ! |
---|
694 | ! first guess of tracer content from v-flux |
---|
695 | DO jj = 2, jpjm1 |
---|
696 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
697 | IF( ll_clem ) THEN |
---|
698 | zzt(ji,jj) = ( pt(ji,jj) - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) & |
---|
699 | & + pt(ji,jj) * pdt * ( pv(ji,jj) - pv(ji,jj-1) ) * r1_e1e2t(ji,jj) * (1.-pamsk) ) & |
---|
700 | & * tmask(ji,jj,1) |
---|
701 | ELSE |
---|
702 | zzt(ji,jj) = ( ptc(ji,jj) - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
703 | ENDIF |
---|
704 | END DO |
---|
705 | END DO |
---|
706 | CALL lbc_lnk( zzt, 'T', 1. ) |
---|
707 | ! |
---|
708 | ! flux in x-direction |
---|
709 | DO jj = 1, jpjm1 |
---|
710 | DO ji = 1, fs_jpim1 |
---|
711 | IF( ll_clem ) THEN |
---|
712 | pfu_ho(ji,jj) = 0.5 * pu(ji,jj) * ( zzt(ji,jj) + zzt(ji+1,jj) ) |
---|
713 | ELSE |
---|
714 | pfu_ho(ji,jj) = 0.5 * puc(ji,jj) * ( zzt(ji,jj) + zzt(ji+1,jj) ) |
---|
715 | ENDIF |
---|
716 | END DO |
---|
717 | END DO |
---|
718 | IF( kn_limiter == 2 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho ) |
---|
719 | IF( kn_limiter == 3 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho, pfu_ups ) |
---|
720 | |
---|
721 | ENDIF |
---|
722 | IF( ll_clem ) THEN |
---|
723 | 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 ) |
---|
724 | ELSE |
---|
725 | 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 ) |
---|
726 | ENDIF |
---|
727 | |
---|
728 | ENDIF |
---|
729 | |
---|
730 | END SUBROUTINE cen2 |
---|
731 | |
---|
732 | |
---|
733 | 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, & |
---|
734 | & pt_ups, pfu_ups, pfv_ups ) |
---|
735 | !!--------------------------------------------------------------------- |
---|
736 | !! *** ROUTINE macho *** |
---|
737 | !! |
---|
738 | !! ** Purpose : compute |
---|
739 | !! |
---|
740 | !! ** Method : ... ??? |
---|
741 | !! TIM = transient interpolation Modeling |
---|
742 | !! |
---|
743 | !! Reference : Leonard, B.P., 1991, Comput. Methods Appl. Mech. Eng., 88, 17-74. |
---|
744 | !!---------------------------------------------------------------------- |
---|
745 | REAL(wp) , INTENT(in ) :: pamsk ! advection of concentration (1) or other tracers (0) |
---|
746 | INTEGER , INTENT(in ) :: kn_limiter ! limiter |
---|
747 | INTEGER , INTENT(in ) :: kn_umx ! order of the scheme (1-5=UM or 20=CEN2) |
---|
748 | INTEGER , INTENT(in ) :: jt ! number of sub-iteration |
---|
749 | INTEGER , INTENT(in ) :: kt ! number of iteration |
---|
750 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
751 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pt ! tracer fields |
---|
752 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pu, pv ! 2 ice velocity components |
---|
753 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: puc, pvc ! 2 ice velocity * A components |
---|
754 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pubox, pvbox ! upstream velocity |
---|
755 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: ptc ! tracer content at before time step |
---|
756 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pt_u, pt_v ! tracer at u- and v-points |
---|
757 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pfu_ho, pfv_ho ! high order fluxes |
---|
758 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pt_ups ! upstream guess of tracer content |
---|
759 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: pfu_ups, pfv_ups ! upstream fluxes |
---|
760 | ! |
---|
761 | INTEGER :: ji, jj ! dummy loop indices |
---|
762 | REAL(wp) :: ztra |
---|
763 | REAL(wp), DIMENSION(jpi,jpj) :: zzt, zzfu_ho, zzfv_ho |
---|
764 | !!---------------------------------------------------------------------- |
---|
765 | ! |
---|
766 | IF( MOD( (kt - 1) / nn_fsbc , 2 ) == MOD( (jt - 1) , 2 ) ) THEN !== odd ice time step: adv_x then adv_y ==! |
---|
767 | ! |
---|
768 | ! !-- ultimate interpolation of pt at u-point --! |
---|
769 | CALL ultimate_x( kn_umx, pdt, pt, pu, puc, pt_u, pfu_ho ) |
---|
770 | ! !-- limiter in x --! |
---|
771 | IF( kn_limiter == 2 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho ) |
---|
772 | IF( kn_limiter == 3 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho, pfu_ups ) |
---|
773 | ! !-- advective form update in zzt --! |
---|
774 | |
---|
775 | IF( ll_1stguess_clem ) THEN |
---|
776 | |
---|
777 | ! first guess of tracer content from u-flux |
---|
778 | DO jj = 2, jpjm1 |
---|
779 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
780 | IF( ll_clem ) THEN |
---|
781 | IF( ll_gurvan ) THEN |
---|
782 | zzt(ji,jj) = ( pt(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
783 | ELSE |
---|
784 | zzt(ji,jj) = ( pt(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
785 | & + pt(ji,jj) * pdt * ( pu(ji,jj) - pu(ji-1,jj) ) * r1_e1e2t(ji,jj) * (1.-pamsk) & |
---|
786 | & ) * tmask(ji,jj,1) |
---|
787 | ENDIF |
---|
788 | ELSE |
---|
789 | zzt(ji,jj) = ( ptc(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
790 | ENDIF |
---|
791 | END DO |
---|
792 | END DO |
---|
793 | CALL lbc_lnk( zzt, 'T', 1. ) |
---|
794 | |
---|
795 | ELSE |
---|
796 | |
---|
797 | DO jj = 2, jpjm1 |
---|
798 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
799 | IF( ll_gurvan ) THEN |
---|
800 | zzt(ji,jj) = pt(ji,jj) - pubox(ji,jj) * pdt * ( pt_u(ji,jj) - pt_u(ji-1,jj) ) * r1_e1t(ji,jj) & |
---|
801 | & - pt (ji,jj) * pdt * ( pu (ji,jj) - pu (ji-1,jj) ) * r1_e1e2t(ji,jj) |
---|
802 | ELSE |
---|
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) * pamsk |
---|
805 | ENDIF |
---|
806 | zzt(ji,jj) = zzt(ji,jj) * tmask(ji,jj,1) |
---|
807 | END DO |
---|
808 | END DO |
---|
809 | CALL lbc_lnk( zzt, 'T', 1. ) |
---|
810 | ENDIF |
---|
811 | ! |
---|
812 | ! !-- ultimate interpolation of pt at v-point --! |
---|
813 | IF( ll_hoxy ) THEN |
---|
814 | CALL ultimate_y( kn_umx, pdt, zzt, pv, pvc, pt_v, pfv_ho ) |
---|
815 | ELSE |
---|
816 | CALL ultimate_y( kn_umx, pdt, pt, pv, pvc, pt_v, pfv_ho ) |
---|
817 | ENDIF |
---|
818 | ! !-- limiter in y --! |
---|
819 | IF( kn_limiter == 2 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho ) |
---|
820 | IF( kn_limiter == 3 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho, pfv_ups ) |
---|
821 | ! |
---|
822 | ! |
---|
823 | ELSE !== even ice time step: adv_y then adv_x ==! |
---|
824 | ! |
---|
825 | ! !-- ultimate interpolation of pt at v-point --! |
---|
826 | CALL ultimate_y( kn_umx, pdt, pt, pv, pvc, pt_v, pfv_ho ) |
---|
827 | ! !-- limiter in y --! |
---|
828 | IF( kn_limiter == 2 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho ) |
---|
829 | IF( kn_limiter == 3 ) CALL limiter_y( pdt, pv, pvc, pt, pfv_ho, pfv_ups ) |
---|
830 | ! !-- advective form update in zzt --! |
---|
831 | IF( ll_1stguess_clem ) THEN |
---|
832 | |
---|
833 | ! first guess of tracer content from v-flux |
---|
834 | DO jj = 2, jpjm1 |
---|
835 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
836 | IF( ll_clem ) THEN |
---|
837 | IF( ll_gurvan ) THEN |
---|
838 | zzt(ji,jj) = ( pt(ji,jj) - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
839 | ELSE |
---|
840 | zzt(ji,jj) = ( pt(ji,jj) - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) & |
---|
841 | & + pt(ji,jj) * pdt * ( pv(ji,jj) - pv(ji,jj-1) ) * r1_e1e2t(ji,jj) * (1.-pamsk) & |
---|
842 | & ) * tmask(ji,jj,1) |
---|
843 | ENDIF |
---|
844 | ELSE |
---|
845 | zzt(ji,jj) = ( ptc(ji,jj) - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) ) & |
---|
846 | & * tmask(ji,jj,1) |
---|
847 | ENDIF |
---|
848 | END DO |
---|
849 | END DO |
---|
850 | CALL lbc_lnk( zzt, 'T', 1. ) |
---|
851 | |
---|
852 | ELSE |
---|
853 | |
---|
854 | DO jj = 2, jpjm1 |
---|
855 | DO ji = fs_2, fs_jpim1 |
---|
856 | IF( ll_gurvan ) THEN |
---|
857 | zzt(ji,jj) = pt(ji,jj) - pvbox(ji,jj) * pdt * ( pt_v(ji,jj) - pt_v(ji,jj-1) ) * r1_e2t(ji,jj) & |
---|
858 | & - pt (ji,jj) * pdt * ( pv (ji,jj) - pv (ji,jj-1) ) * r1_e1e2t(ji,jj) |
---|
859 | ELSE |
---|
860 | zzt(ji,jj) = pt(ji,jj) - pvbox(ji,jj) * pdt * ( pt_v(ji,jj) - pt_v(ji,jj-1) ) * r1_e2t(ji,jj) & |
---|
861 | & - pt (ji,jj) * pdt * ( pv (ji,jj) - pv (ji,jj-1) ) * r1_e1e2t(ji,jj) * pamsk |
---|
862 | ENDIF |
---|
863 | zzt(ji,jj) = zzt(ji,jj) * tmask(ji,jj,1) |
---|
864 | END DO |
---|
865 | END DO |
---|
866 | CALL lbc_lnk( zzt, 'T', 1. ) |
---|
867 | ENDIF |
---|
868 | ! |
---|
869 | ! !-- ultimate interpolation of pt at u-point --! |
---|
870 | IF( ll_hoxy ) THEN |
---|
871 | CALL ultimate_x( kn_umx, pdt, zzt, pu, puc, pt_u, pfu_ho ) |
---|
872 | ELSE |
---|
873 | CALL ultimate_x( kn_umx, pdt, pt, pu, puc, pt_u, pfu_ho ) |
---|
874 | ENDIF |
---|
875 | ! !-- limiter in x --! |
---|
876 | IF( kn_limiter == 2 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho ) |
---|
877 | IF( kn_limiter == 3 ) CALL limiter_x( pdt, pu, puc, pt, pfu_ho, pfu_ups ) |
---|
878 | ! |
---|
879 | ! |
---|
880 | ENDIF |
---|
881 | |
---|
882 | |
---|
883 | IF( kn_limiter == 1 ) THEN |
---|
884 | IF( .NOT. ll_limiter_it2 ) THEN |
---|
885 | IF( ll_clem ) THEN |
---|
886 | CALL nonosc_2d ( pamsk, pdt, pu, puc, pv, pvc, ptc, pt, pt_ups, pfu_ups, pfv_ups, pfu_ho, pfv_ho ) |
---|
887 | ELSE |
---|
888 | CALL nonosc_2d ( pamsk, pdt, pu, puc, pv, pvc, ptc, ptc, pt_ups, pfu_ups, pfv_ups, pfu_ho, pfv_ho ) |
---|
889 | ENDIF |
---|
890 | ELSE |
---|
891 | zzfu_ho(:,:) = pfu_ho(:,:) |
---|
892 | zzfv_ho(:,:) = pfv_ho(:,:) |
---|
893 | ! 1st iteration of nonosc (limit the flux with the upstream solution) |
---|
894 | IF( ll_clem ) THEN |
---|
895 | CALL nonosc_2d ( pamsk, pdt, pu, puc, pv, pvc, ptc, pt, pt_ups, pfu_ups, pfv_ups, zzfu_ho, zzfv_ho ) |
---|
896 | ELSE |
---|
897 | CALL nonosc_2d ( pamsk, pdt, pu, puc, pv, pvc, ptc, ptc, pt_ups, pfu_ups, pfv_ups, zzfu_ho, zzfv_ho ) |
---|
898 | ENDIF |
---|
899 | ! guess after content field with high order |
---|
900 | DO jj = 2, jpjm1 |
---|
901 | DO ji = fs_2, fs_jpim1 |
---|
902 | ztra = - ( zzfu_ho(ji,jj) - zzfu_ho(ji-1,jj) + zzfv_ho(ji,jj) - zzfv_ho(ji,jj-1) ) * r1_e1e2t(ji,jj) |
---|
903 | zzt(ji,jj) = ( ptc(ji,jj) + pdt * ztra ) * tmask(ji,jj,1) |
---|
904 | END DO |
---|
905 | END DO |
---|
906 | CALL lbc_lnk( zzt, 'T', 1. ) |
---|
907 | ! 2nd iteration of nonosc (limit the flux with the limited high order solution) |
---|
908 | IF( ll_clem ) THEN |
---|
909 | CALL nonosc_2d ( pamsk, pdt, pu, puc, pv, pvc, ptc, pt, zzt, zzfu_ho, zzfv_ho, pfu_ho, pfv_ho ) |
---|
910 | ELSE |
---|
911 | CALL nonosc_2d ( pamsk, pdt, pu, puc, pv, pvc, ptc, ptc, zzt, zzfu_ho, zzfv_ho, pfu_ho, pfv_ho ) |
---|
912 | ENDIF |
---|
913 | ENDIF |
---|
914 | ENDIF |
---|
915 | ! |
---|
916 | END SUBROUTINE macho |
---|
917 | |
---|
918 | |
---|
919 | SUBROUTINE ultimate_x( kn_umx, pdt, pt, pu, puc, pt_u, pfu_ho ) |
---|
920 | !!--------------------------------------------------------------------- |
---|
921 | !! *** ROUTINE ultimate_x *** |
---|
922 | !! |
---|
923 | !! ** Purpose : compute |
---|
924 | !! |
---|
925 | !! ** Method : ... ??? |
---|
926 | !! TIM = transient interpolation Modeling |
---|
927 | !! |
---|
928 | !! Reference : Leonard, B.P., 1991, Comput. Methods Appl. Mech. Eng., 88, 17-74. |
---|
929 | !!---------------------------------------------------------------------- |
---|
930 | INTEGER , INTENT(in ) :: kn_umx ! order of the scheme (1-5=UM or 20=CEN2) |
---|
931 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
932 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pu ! ice i-velocity component |
---|
933 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: puc ! ice i-velocity * A component |
---|
934 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pt ! tracer fields |
---|
935 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pt_u ! tracer at u-point |
---|
936 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pfu_ho ! high order flux |
---|
937 | ! |
---|
938 | INTEGER :: ji, jj ! dummy loop indices |
---|
939 | REAL(wp) :: zcu, zdx2, zdx4 ! - - |
---|
940 | REAL(wp), DIMENSION(jpi,jpj) :: ztu1, ztu2, ztu3, ztu4 |
---|
941 | !!---------------------------------------------------------------------- |
---|
942 | ! |
---|
943 | ! !-- Laplacian in i-direction --! |
---|
944 | DO jj = 2, jpjm1 ! First derivative (gradient) |
---|
945 | DO ji = 1, fs_jpim1 |
---|
946 | ztu1(ji,jj) = ( pt(ji+1,jj) - pt(ji,jj) ) * r1_e1u(ji,jj) * umask(ji,jj,1) |
---|
947 | END DO |
---|
948 | ! ! Second derivative (Laplacian) |
---|
949 | DO ji = fs_2, fs_jpim1 |
---|
950 | ztu2(ji,jj) = ( ztu1(ji,jj) - ztu1(ji-1,jj) ) * r1_e1t(ji,jj) |
---|
951 | END DO |
---|
952 | END DO |
---|
953 | CALL lbc_lnk( ztu2, 'T', 1. ) |
---|
954 | ! |
---|
955 | ! !-- BiLaplacian in i-direction --! |
---|
956 | DO jj = 2, jpjm1 ! Third derivative |
---|
957 | DO ji = 1, fs_jpim1 |
---|
958 | ztu3(ji,jj) = ( ztu2(ji+1,jj) - ztu2(ji,jj) ) * r1_e1u(ji,jj) * umask(ji,jj,1) |
---|
959 | END DO |
---|
960 | ! ! Fourth derivative |
---|
961 | DO ji = fs_2, fs_jpim1 |
---|
962 | ztu4(ji,jj) = ( ztu3(ji,jj) - ztu3(ji-1,jj) ) * r1_e1t(ji,jj) |
---|
963 | END DO |
---|
964 | END DO |
---|
965 | CALL lbc_lnk( ztu4, 'T', 1. ) |
---|
966 | ! |
---|
967 | ! |
---|
968 | SELECT CASE (kn_umx ) |
---|
969 | ! |
---|
970 | CASE( 1 ) !== 1st order central TIM ==! (Eq. 21) |
---|
971 | ! |
---|
972 | DO jj = 1, jpjm1 |
---|
973 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
974 | pt_u(ji,jj) = 0.5_wp * umask(ji,jj,1) * ( pt(ji+1,jj) + pt(ji,jj) & |
---|
975 | & - SIGN( 1._wp, pu(ji,jj) ) * ( pt(ji+1,jj) - pt(ji,jj) ) ) |
---|
976 | END DO |
---|
977 | END DO |
---|
978 | ! |
---|
979 | CASE( 2 ) !== 2nd order central TIM ==! (Eq. 23) |
---|
980 | ! |
---|
981 | DO jj = 1, jpjm1 |
---|
982 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
983 | zcu = pu(ji,jj) * r1_e2u(ji,jj) * pdt * r1_e1u(ji,jj) |
---|
984 | pt_u(ji,jj) = 0.5_wp * umask(ji,jj,1) * ( pt(ji+1,jj) + pt(ji,jj) & |
---|
985 | & - zcu * ( pt(ji+1,jj) - pt(ji,jj) ) ) |
---|
986 | END DO |
---|
987 | END DO |
---|
988 | ! |
---|
989 | CASE( 3 ) !== 3rd order central TIM ==! (Eq. 24) |
---|
990 | ! |
---|
991 | DO jj = 1, jpjm1 |
---|
992 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
993 | zcu = pu(ji,jj) * r1_e2u(ji,jj) * pdt * r1_e1u(ji,jj) |
---|
994 | zdx2 = e1u(ji,jj) * e1u(ji,jj) |
---|
995 | !!rachid zdx2 = e1u(ji,jj) * e1t(ji,jj) |
---|
996 | pt_u(ji,jj) = 0.5_wp * umask(ji,jj,1) * ( ( pt (ji+1,jj) + pt (ji,jj) & |
---|
997 | & - zcu * ( pt (ji+1,jj) - pt (ji,jj) ) ) & |
---|
998 | & + z1_6 * zdx2 * ( zcu*zcu - 1._wp ) * ( ztu2(ji+1,jj) + ztu2(ji,jj) & |
---|
999 | & - SIGN( 1._wp, zcu ) * ( ztu2(ji+1,jj) - ztu2(ji,jj) ) ) ) |
---|
1000 | END DO |
---|
1001 | END DO |
---|
1002 | ! |
---|
1003 | CASE( 4 ) !== 4th order central TIM ==! (Eq. 27) |
---|
1004 | ! |
---|
1005 | DO jj = 1, jpjm1 |
---|
1006 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
1007 | zcu = pu(ji,jj) * r1_e2u(ji,jj) * pdt * r1_e1u(ji,jj) |
---|
1008 | zdx2 = e1u(ji,jj) * e1u(ji,jj) |
---|
1009 | !!rachid zdx2 = e1u(ji,jj) * e1t(ji,jj) |
---|
1010 | pt_u(ji,jj) = 0.5_wp * umask(ji,jj,1) * ( ( pt (ji+1,jj) + pt (ji,jj) & |
---|
1011 | & - zcu * ( pt (ji+1,jj) - pt (ji,jj) ) ) & |
---|
1012 | & + z1_6 * zdx2 * ( zcu*zcu - 1._wp ) * ( ztu2(ji+1,jj) + ztu2(ji,jj) & |
---|
1013 | & - 0.5_wp * zcu * ( ztu2(ji+1,jj) - ztu2(ji,jj) ) ) ) |
---|
1014 | END DO |
---|
1015 | END DO |
---|
1016 | ! |
---|
1017 | CASE( 5 ) !== 5th order central TIM ==! (Eq. 29) |
---|
1018 | ! |
---|
1019 | DO jj = 1, jpjm1 |
---|
1020 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
1021 | zcu = pu(ji,jj) * r1_e2u(ji,jj) * pdt * r1_e1u(ji,jj) |
---|
1022 | zdx2 = e1u(ji,jj) * e1u(ji,jj) |
---|
1023 | !!rachid zdx2 = e1u(ji,jj) * e1t(ji,jj) |
---|
1024 | zdx4 = zdx2 * zdx2 |
---|
1025 | pt_u(ji,jj) = 0.5_wp * umask(ji,jj,1) * ( ( pt (ji+1,jj) + pt (ji,jj) & |
---|
1026 | & - zcu * ( pt (ji+1,jj) - pt (ji,jj) ) ) & |
---|
1027 | & + z1_6 * zdx2 * ( zcu*zcu - 1._wp ) * ( ztu2(ji+1,jj) + ztu2(ji,jj) & |
---|
1028 | & - 0.5_wp * zcu * ( ztu2(ji+1,jj) - ztu2(ji,jj) ) ) & |
---|
1029 | & + z1_120 * zdx4 * ( zcu*zcu - 1._wp ) * ( zcu*zcu - 4._wp ) * ( ztu4(ji+1,jj) + ztu4(ji,jj) & |
---|
1030 | & - SIGN( 1._wp, zcu ) * ( ztu4(ji+1,jj) - ztu4(ji,jj) ) ) ) |
---|
1031 | END DO |
---|
1032 | END DO |
---|
1033 | ! |
---|
1034 | END SELECT |
---|
1035 | ! !-- High order flux in i-direction --! |
---|
1036 | IF( ll_neg ) THEN |
---|
1037 | DO jj = 1, jpjm1 |
---|
1038 | DO ji = 1, fs_jpim1 |
---|
1039 | IF( pt_u(ji,jj) < 0._wp ) THEN |
---|
1040 | pt_u(ji,jj) = 0.5_wp * umask(ji,jj,1) * ( pt(ji+1,jj) + pt(ji,jj) & |
---|
1041 | & - SIGN( 1._wp, pu(ji,jj) ) * ( pt(ji+1,jj) - pt(ji,jj) ) ) |
---|
1042 | ENDIF |
---|
1043 | END DO |
---|
1044 | END DO |
---|
1045 | ENDIF |
---|
1046 | |
---|
1047 | DO jj = 1, jpjm1 |
---|
1048 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
1049 | IF( ll_clem ) THEN |
---|
1050 | pfu_ho(ji,jj) = pu(ji,jj) * pt_u(ji,jj) |
---|
1051 | ELSE |
---|
1052 | pfu_ho(ji,jj) = puc(ji,jj) * pt_u(ji,jj) |
---|
1053 | ENDIF |
---|
1054 | END DO |
---|
1055 | END DO |
---|
1056 | ! |
---|
1057 | END SUBROUTINE ultimate_x |
---|
1058 | |
---|
1059 | |
---|
1060 | SUBROUTINE ultimate_y( kn_umx, pdt, pt, pv, pvc, pt_v, pfv_ho ) |
---|
1061 | !!--------------------------------------------------------------------- |
---|
1062 | !! *** ROUTINE ultimate_y *** |
---|
1063 | !! |
---|
1064 | !! ** Purpose : compute |
---|
1065 | !! |
---|
1066 | !! ** Method : ... ??? |
---|
1067 | !! TIM = transient interpolation Modeling |
---|
1068 | !! |
---|
1069 | !! Reference : Leonard, B.P., 1991, Comput. Methods Appl. Mech. Eng., 88, 17-74. |
---|
1070 | !!---------------------------------------------------------------------- |
---|
1071 | INTEGER , INTENT(in ) :: kn_umx ! order of the scheme (1-5=UM or 20=CEN2) |
---|
1072 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
1073 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pv ! ice j-velocity component |
---|
1074 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pvc ! ice j-velocity*A component |
---|
1075 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pt ! tracer fields |
---|
1076 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pt_v ! tracer at v-point |
---|
1077 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pfv_ho ! high order flux |
---|
1078 | ! |
---|
1079 | INTEGER :: ji, jj ! dummy loop indices |
---|
1080 | REAL(wp) :: zcv, zdy2, zdy4 ! - - |
---|
1081 | REAL(wp), DIMENSION(jpi,jpj) :: ztv1, ztv2, ztv3, ztv4 |
---|
1082 | !!---------------------------------------------------------------------- |
---|
1083 | ! |
---|
1084 | ! !-- Laplacian in j-direction --! |
---|
1085 | DO jj = 1, jpjm1 ! First derivative (gradient) |
---|
1086 | DO ji = fs_2, fs_jpim1 |
---|
1087 | ztv1(ji,jj) = ( pt(ji,jj+1) - pt(ji,jj) ) * r1_e2v(ji,jj) * vmask(ji,jj,1) |
---|
1088 | END DO |
---|
1089 | END DO |
---|
1090 | DO jj = 2, jpjm1 ! Second derivative (Laplacian) |
---|
1091 | DO ji = fs_2, fs_jpim1 |
---|
1092 | ztv2(ji,jj) = ( ztv1(ji,jj) - ztv1(ji,jj-1) ) * r1_e2t(ji,jj) |
---|
1093 | END DO |
---|
1094 | END DO |
---|
1095 | CALL lbc_lnk( ztv2, 'T', 1. ) |
---|
1096 | ! |
---|
1097 | ! !-- BiLaplacian in j-direction --! |
---|
1098 | DO jj = 1, jpjm1 ! First derivative |
---|
1099 | DO ji = fs_2, fs_jpim1 |
---|
1100 | ztv3(ji,jj) = ( ztv2(ji,jj+1) - ztv2(ji,jj) ) * r1_e2v(ji,jj) * vmask(ji,jj,1) |
---|
1101 | END DO |
---|
1102 | END DO |
---|
1103 | DO jj = 2, jpjm1 ! Second derivative |
---|
1104 | DO ji = fs_2, fs_jpim1 |
---|
1105 | ztv4(ji,jj) = ( ztv3(ji,jj) - ztv3(ji,jj-1) ) * r1_e2t(ji,jj) |
---|
1106 | END DO |
---|
1107 | END DO |
---|
1108 | CALL lbc_lnk( ztv4, 'T', 1. ) |
---|
1109 | ! |
---|
1110 | ! |
---|
1111 | SELECT CASE (kn_umx ) |
---|
1112 | ! |
---|
1113 | CASE( 1 ) !== 1st order central TIM ==! (Eq. 21) |
---|
1114 | DO jj = 1, jpjm1 |
---|
1115 | DO ji = 1, fs_jpim1 |
---|
1116 | pt_v(ji,jj) = 0.5_wp * vmask(ji,jj,1) * ( ( pt(ji,jj+1) + pt(ji,jj) ) & |
---|
1117 | & - SIGN( 1._wp, pv(ji,jj) ) * ( pt(ji,jj+1) - pt(ji,jj) ) ) |
---|
1118 | END DO |
---|
1119 | END DO |
---|
1120 | ! |
---|
1121 | CASE( 2 ) !== 2nd order central TIM ==! (Eq. 23) |
---|
1122 | DO jj = 1, jpjm1 |
---|
1123 | DO ji = 1, fs_jpim1 |
---|
1124 | zcv = pv(ji,jj) * r1_e1v(ji,jj) * pdt * r1_e2v(ji,jj) |
---|
1125 | pt_v(ji,jj) = 0.5_wp * vmask(ji,jj,1) * ( ( pt(ji,jj+1) + pt(ji,jj) ) & |
---|
1126 | & - zcv * ( pt(ji,jj+1) - pt(ji,jj) ) ) |
---|
1127 | END DO |
---|
1128 | END DO |
---|
1129 | CALL lbc_lnk( pt_v, 'V', 1. ) |
---|
1130 | ! |
---|
1131 | CASE( 3 ) !== 3rd order central TIM ==! (Eq. 24) |
---|
1132 | DO jj = 1, jpjm1 |
---|
1133 | DO ji = 1, fs_jpim1 |
---|
1134 | zcv = pv(ji,jj) * r1_e1v(ji,jj) * pdt * r1_e2v(ji,jj) |
---|
1135 | zdy2 = e2v(ji,jj) * e2v(ji,jj) |
---|
1136 | !!rachid zdy2 = e2v(ji,jj) * e2t(ji,jj) |
---|
1137 | pt_v(ji,jj) = 0.5_wp * vmask(ji,jj,1) * ( ( pt (ji,jj+1) + pt (ji,jj) & |
---|
1138 | & - zcv * ( pt (ji,jj+1) - pt (ji,jj) ) ) & |
---|
1139 | & + z1_6 * zdy2 * ( zcv*zcv - 1._wp ) * ( ztv2(ji,jj+1) + ztv2(ji,jj) & |
---|
1140 | & - SIGN( 1._wp, zcv ) * ( ztv2(ji,jj+1) - ztv2(ji,jj) ) ) ) |
---|
1141 | END DO |
---|
1142 | END DO |
---|
1143 | ! |
---|
1144 | CASE( 4 ) !== 4th order central TIM ==! (Eq. 27) |
---|
1145 | DO jj = 1, jpjm1 |
---|
1146 | DO ji = 1, fs_jpim1 |
---|
1147 | zcv = pv(ji,jj) * r1_e1v(ji,jj) * pdt * r1_e2v(ji,jj) |
---|
1148 | zdy2 = e2v(ji,jj) * e2v(ji,jj) |
---|
1149 | !!rachid zdy2 = e2v(ji,jj) * e2t(ji,jj) |
---|
1150 | pt_v(ji,jj) = 0.5_wp * vmask(ji,jj,1) * ( ( pt (ji,jj+1) + pt (ji,jj) & |
---|
1151 | & - zcv * ( pt (ji,jj+1) - pt (ji,jj) ) ) & |
---|
1152 | & + z1_6 * zdy2 * ( zcv*zcv - 1._wp ) * ( ztv2(ji,jj+1) + ztv2(ji,jj) & |
---|
1153 | & - 0.5_wp * zcv * ( ztv2(ji,jj+1) - ztv2(ji,jj) ) ) ) |
---|
1154 | END DO |
---|
1155 | END DO |
---|
1156 | ! |
---|
1157 | CASE( 5 ) !== 5th order central TIM ==! (Eq. 29) |
---|
1158 | DO jj = 1, jpjm1 |
---|
1159 | DO ji = 1, fs_jpim1 |
---|
1160 | zcv = pv(ji,jj) * r1_e1v(ji,jj) * pdt * r1_e2v(ji,jj) |
---|
1161 | zdy2 = e2v(ji,jj) * e2v(ji,jj) |
---|
1162 | !!rachid zdy2 = e2v(ji,jj) * e2t(ji,jj) |
---|
1163 | zdy4 = zdy2 * zdy2 |
---|
1164 | pt_v(ji,jj) = 0.5_wp * vmask(ji,jj,1) * ( ( pt (ji,jj+1) + pt (ji,jj) & |
---|
1165 | & - zcv * ( pt (ji,jj+1) - pt (ji,jj) ) ) & |
---|
1166 | & + z1_6 * zdy2 * ( zcv*zcv - 1._wp ) * ( ztv2(ji,jj+1) + ztv2(ji,jj) & |
---|
1167 | & - 0.5_wp * zcv * ( ztv2(ji,jj+1) - ztv2(ji,jj) ) ) & |
---|
1168 | & + z1_120 * zdy4 * ( zcv*zcv - 1._wp ) * ( zcv*zcv - 4._wp ) * ( ztv4(ji,jj+1) + ztv4(ji,jj) & |
---|
1169 | & - SIGN( 1._wp, zcv ) * ( ztv4(ji,jj+1) - ztv4(ji,jj) ) ) ) |
---|
1170 | END DO |
---|
1171 | END DO |
---|
1172 | ! |
---|
1173 | END SELECT |
---|
1174 | ! !-- High order flux in j-direction --! |
---|
1175 | IF( ll_neg ) THEN |
---|
1176 | DO jj = 1, jpjm1 |
---|
1177 | DO ji = 1, fs_jpim1 |
---|
1178 | IF( pt_v(ji,jj) < 0._wp ) THEN |
---|
1179 | pt_v(ji,jj) = 0.5_wp * vmask(ji,jj,1) * ( ( pt(ji,jj+1) + pt(ji,jj) ) & |
---|
1180 | & - SIGN( 1._wp, pv(ji,jj) ) * ( pt(ji,jj+1) - pt(ji,jj) ) ) |
---|
1181 | ENDIF |
---|
1182 | END DO |
---|
1183 | END DO |
---|
1184 | ENDIF |
---|
1185 | |
---|
1186 | DO jj = 1, jpjm1 |
---|
1187 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
1188 | IF( ll_clem ) THEN |
---|
1189 | pfv_ho(ji,jj) = pv(ji,jj) * pt_v(ji,jj) |
---|
1190 | ELSE |
---|
1191 | pfv_ho(ji,jj) = pvc(ji,jj) * pt_v(ji,jj) |
---|
1192 | ENDIF |
---|
1193 | END DO |
---|
1194 | END DO |
---|
1195 | ! |
---|
1196 | END SUBROUTINE ultimate_y |
---|
1197 | |
---|
1198 | |
---|
1199 | SUBROUTINE nonosc_2d( pamsk, pdt, pu, puc, pv, pvc, ptc, pt, pt_low, pfu_low, pfv_low, pfu_ho, pfv_ho ) |
---|
1200 | !!--------------------------------------------------------------------- |
---|
1201 | !! *** ROUTINE nonosc *** |
---|
1202 | !! |
---|
1203 | !! ** Purpose : compute monotonic tracer fluxes from the upstream |
---|
1204 | !! scheme and the before field by a nonoscillatory algorithm |
---|
1205 | !! |
---|
1206 | !! ** Method : ... ??? |
---|
1207 | !! warning : pt and pt_low must be masked, but the boundaries |
---|
1208 | !! conditions on the fluxes are not necessary zalezak (1979) |
---|
1209 | !! drange (1995) multi-dimensional forward-in-time and upstream- |
---|
1210 | !! in-space based differencing for fluid |
---|
1211 | !!---------------------------------------------------------------------- |
---|
1212 | REAL(wp) , INTENT(in ) :: pamsk ! advection of concentration (1) or other tracers (0) |
---|
1213 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
1214 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: pu ! ice i-velocity => u*e2 |
---|
1215 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: puc ! ice i-velocity *A => u*e2*a |
---|
1216 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: pv ! ice j-velocity => v*e1 |
---|
1217 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: pvc ! ice j-velocity *A => v*e1*a |
---|
1218 | REAL(wp), DIMENSION (jpi,jpj), INTENT(in ) :: ptc, pt, pt_low ! before field & upstream guess of after field |
---|
1219 | REAL(wp), DIMENSION (jpi,jpj), INTENT(inout) :: pfv_low, pfu_low ! upstream flux |
---|
1220 | REAL(wp), DIMENSION (jpi,jpj), INTENT(inout) :: pfv_ho, pfu_ho ! monotonic flux |
---|
1221 | ! |
---|
1222 | INTEGER :: ji, jj ! dummy loop indices |
---|
1223 | REAL(wp) :: zpos, zneg, zbig, zsml, z1_dt, zpos2, zneg2 ! local scalars |
---|
1224 | REAL(wp) :: zau, zbu, zcu, zav, zbv, zcv, zup, zdo, zsign, zcoef ! - - |
---|
1225 | REAL(wp), DIMENSION(jpi,jpj) :: zbetup, zbetdo, zbup, zbdo, zti_low, ztj_low, zzt |
---|
1226 | !!---------------------------------------------------------------------- |
---|
1227 | zbig = 1.e+40_wp |
---|
1228 | zsml = epsi20 |
---|
1229 | |
---|
1230 | IF( ll_zeroup2 ) THEN |
---|
1231 | DO jj = 1, jpjm1 |
---|
1232 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
1233 | IF( amaxu(ji,jj) == 0._wp ) pfu_ho(ji,jj) = 0._wp |
---|
1234 | IF( amaxv(ji,jj) == 0._wp ) pfv_ho(ji,jj) = 0._wp |
---|
1235 | END DO |
---|
1236 | END DO |
---|
1237 | ENDIF |
---|
1238 | |
---|
1239 | IF( ll_zeroup4 ) THEN |
---|
1240 | DO jj = 1, jpjm1 |
---|
1241 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
1242 | IF( pfu_low(ji,jj) == 0._wp ) pfu_ho(ji,jj) = 0._wp |
---|
1243 | IF( pfv_low(ji,jj) == 0._wp ) pfv_ho(ji,jj) = 0._wp |
---|
1244 | END DO |
---|
1245 | END DO |
---|
1246 | ENDIF |
---|
1247 | |
---|
1248 | |
---|
1249 | IF( ll_zeroup1 ) THEN |
---|
1250 | DO jj = 2, jpjm1 |
---|
1251 | DO ji = fs_2, fs_jpim1 |
---|
1252 | IF( ll_gurvan ) THEN |
---|
1253 | zzt(ji,jj) = ( pt(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
1254 | & - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
1255 | ELSE |
---|
1256 | zzt(ji,jj) = ( pt(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
1257 | & - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) & |
---|
1258 | & + pt(ji,jj) * pdt * ( pu(ji,jj) - pu(ji-1,jj) ) * r1_e1e2t(ji,jj) * (1.-pamsk) & |
---|
1259 | & + pt(ji,jj) * pdt * ( pv(ji,jj) - pv(ji,jj-1) ) * r1_e1e2t(ji,jj) * (1.-pamsk) & |
---|
1260 | & ) * tmask(ji,jj,1) |
---|
1261 | ENDIF |
---|
1262 | IF( zzt(ji,jj) < 0._wp ) THEN |
---|
1263 | pfu_ho(ji,jj) = pfu_low(ji,jj) |
---|
1264 | pfv_ho(ji,jj) = pfv_low(ji,jj) |
---|
1265 | WRITE(numout,*) '*** 1 negative high order zzt ***',ji,jj,zzt(ji,jj) |
---|
1266 | ENDIF |
---|
1267 | !! IF( ji==26 .AND. jj==86) THEN |
---|
1268 | !! WRITE(numout,*) 'zzt high order',zzt(ji,jj) |
---|
1269 | !! WRITE(numout,*) 'pfu_ho',(pfu_ho(ji,jj)) * r1_e1e2t(ji,jj) * pdt |
---|
1270 | !! WRITE(numout,*) 'pfv_ho',(pfv_ho(ji,jj)) * r1_e1e2t(ji,jj) * pdt |
---|
1271 | !! WRITE(numout,*) 'pfu_hom1',(pfu_ho(ji-1,jj)) * r1_e1e2t(ji,jj) * pdt |
---|
1272 | !! WRITE(numout,*) 'pfv_hom1',(pfv_ho(ji,jj-1)) * r1_e1e2t(ji,jj) * pdt |
---|
1273 | !! ENDIF |
---|
1274 | IF( ll_gurvan ) THEN |
---|
1275 | zzt(ji,jj) = ( pt(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
1276 | & - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
1277 | ELSE |
---|
1278 | zzt(ji,jj) = ( pt(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
1279 | & - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) & |
---|
1280 | & + pt(ji,jj) * pdt * ( pu(ji,jj) - pu(ji-1,jj) ) * r1_e1e2t(ji,jj) * (1.-pamsk) & |
---|
1281 | & + pt(ji,jj) * pdt * ( pv(ji,jj) - pv(ji,jj-1) ) * r1_e1e2t(ji,jj) * (1.-pamsk) & |
---|
1282 | & ) * 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) & |
---|
1297 | & ) * tmask(ji,jj,1) |
---|
1298 | ENDIF |
---|
1299 | IF( zzt(ji,jj) < 0._wp ) THEN |
---|
1300 | WRITE(numout,*) '*** 3 negative high order zzt ***',ji,jj,zzt(ji,jj) |
---|
1301 | ENDIF |
---|
1302 | END DO |
---|
1303 | END DO |
---|
1304 | CALL lbc_lnk_multi( pfu_ho, 'U', -1., pfv_ho, 'V', -1. ) |
---|
1305 | ENDIF |
---|
1306 | |
---|
1307 | |
---|
1308 | ! antidiffusive flux : high order minus low order |
---|
1309 | ! -------------------------------------------------- |
---|
1310 | DO jj = 1, jpjm1 |
---|
1311 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
1312 | pfu_ho(ji,jj) = pfu_ho(ji,jj) - pfu_low(ji,jj) |
---|
1313 | pfv_ho(ji,jj) = pfv_ho(ji,jj) - pfv_low(ji,jj) |
---|
1314 | END DO |
---|
1315 | END DO |
---|
1316 | |
---|
1317 | ! extreme case where pfu_ho has to be zero |
---|
1318 | ! ---------------------------------------- |
---|
1319 | ! pfu_ho |
---|
1320 | ! * ---> |
---|
1321 | ! | | * | | |
---|
1322 | ! | | | * | |
---|
1323 | ! | | | | * |
---|
1324 | ! t_low : i-1 i i+1 i+2 |
---|
1325 | IF( ll_prelimiter_zalesak ) THEN |
---|
1326 | |
---|
1327 | DO jj = 2, jpjm1 |
---|
1328 | DO ji = fs_2, fs_jpim1 |
---|
1329 | zti_low(ji,jj)= pt_low(ji+1,jj ) |
---|
1330 | ztj_low(ji,jj)= pt_low(ji ,jj+1) |
---|
1331 | END DO |
---|
1332 | END DO |
---|
1333 | CALL lbc_lnk_multi( zti_low, 'T', 1., ztj_low, 'T', 1. ) |
---|
1334 | |
---|
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 |
---|
1354 | |
---|
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 |
---|
1367 | END DO |
---|
1368 | END DO |
---|
1369 | CALL lbc_lnk_multi( pfu_ho, 'U', -1., pfv_ho, 'V', -1. ) ! lateral boundary cond. |
---|
1370 | |
---|
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) |
---|
1376 | END DO |
---|
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. |
---|
1395 | |
---|
1396 | ENDIF |
---|
1397 | |
---|
1398 | |
---|
1399 | ! Search local extrema |
---|
1400 | ! -------------------- |
---|
1401 | ! max/min of pt & pt_low with large negative/positive value (-/+zbig) outside ice cover |
---|
1402 | DO jj = 1, jpj |
---|
1403 | DO ji = 1, jpi |
---|
1404 | IF ( pt(ji,jj) <= 0._wp .AND. pt_low(ji,jj) <= 0._wp ) THEN |
---|
1405 | zbup(ji,jj) = -zbig |
---|
1406 | zbdo(ji,jj) = zbig |
---|
1407 | ELSEIF( pt(ji,jj) <= 0._wp .AND. pt_low(ji,jj) > 0._wp ) THEN |
---|
1408 | zbup(ji,jj) = pt_low(ji,jj) |
---|
1409 | zbdo(ji,jj) = pt_low(ji,jj) |
---|
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) |
---|
1413 | ELSE |
---|
1414 | zbup(ji,jj) = MAX( pt(ji,jj) , pt_low(ji,jj) ) |
---|
1415 | zbdo(ji,jj) = MIN( pt(ji,jj) , pt_low(ji,jj) ) |
---|
1416 | ENDIF |
---|
1417 | END DO |
---|
1418 | END DO |
---|
1419 | |
---|
1420 | |
---|
1421 | z1_dt = 1._wp / pdt |
---|
1422 | DO jj = 2, jpjm1 |
---|
1423 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
1424 | ! |
---|
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) ) |
---|
1428 | ! |
---|
1429 | ELSE |
---|
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) ) |
---|
1434 | ENDIF |
---|
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 ) ) |
---|
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 | ! |
---|
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) ) & |
---|
1443 | & ) * ( 1. - pamsk ) |
---|
1444 | 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) ) & |
---|
1445 | & ) * ( 1. - pamsk ) |
---|
1446 | ELSE |
---|
1447 | zneg2 = 0. ; zpos2 = 0. |
---|
1448 | ENDIF |
---|
1449 | ! |
---|
1450 | ! ! up & down beta terms |
---|
1451 | IF( (zpos+zpos2) > 0. ) THEN ; zbetup(ji,jj) = MAX( 0._wp, zup - pt_low(ji,jj) ) / (zpos+zpos2) * e1e2t(ji,jj) * z1_dt |
---|
1452 | ELSE ; zbetup(ji,jj) = 0. ! zbig |
---|
1453 | ENDIF |
---|
1454 | ! |
---|
1455 | IF( (zneg+zneg2) > 0. ) THEN ; zbetdo(ji,jj) = MAX( 0._wp, pt_low(ji,jj) - zdo ) / (zneg+zneg2) * e1e2t(ji,jj) * z1_dt |
---|
1456 | ELSE ; zbetdo(ji,jj) = 0. ! zbig |
---|
1457 | ENDIF |
---|
1458 | ! |
---|
1459 | ! if all the points are outside ice cover |
---|
1460 | IF( zup == -zbig ) zbetup(ji,jj) = 0. ! zbig |
---|
1461 | IF( zdo == zbig ) zbetdo(ji,jj) = 0. ! zbig |
---|
1462 | ! |
---|
1463 | |
---|
1464 | !! IF( ji==26 .AND. jj==86) THEN |
---|
1465 | ! WRITE(numout,*) '-----------------' |
---|
1466 | ! WRITE(numout,*) 'zpos',zpos,zpos2 |
---|
1467 | ! WRITE(numout,*) 'zneg',zneg,zneg2 |
---|
1468 | ! WRITE(numout,*) 'puc/pu',ABS(puc(ji,jj))/MAX(epsi20, ABS(pu(ji,jj))) |
---|
1469 | ! WRITE(numout,*) 'pvc/pv',ABS(pvc(ji,jj))/MAX(epsi20, ABS(pv(ji,jj))) |
---|
1470 | ! WRITE(numout,*) 'pucm1/pu',ABS(puc(ji-1,jj))/MAX(epsi20, ABS(pu(ji-1,jj))) |
---|
1471 | ! WRITE(numout,*) 'pvcm1/pv',ABS(pvc(ji,jj-1))/MAX(epsi20, ABS(pv(ji,jj-1))) |
---|
1472 | ! WRITE(numout,*) 'pfu_ho',(pfu_ho(ji,jj)+pfu_low(ji,jj)) * r1_e1e2t(ji,jj) * pdt |
---|
1473 | ! WRITE(numout,*) 'pfv_ho',(pfv_ho(ji,jj)+pfv_low(ji,jj)) * r1_e1e2t(ji,jj) * pdt |
---|
1474 | ! WRITE(numout,*) 'pfu_hom1',(pfu_ho(ji-1,jj)+pfu_low(ji-1,jj)) * r1_e1e2t(ji,jj) * pdt |
---|
1475 | ! WRITE(numout,*) 'pfv_hom1',(pfv_ho(ji,jj-1)+pfv_low(ji,jj-1)) * r1_e1e2t(ji,jj) * pdt |
---|
1476 | ! WRITE(numout,*) 'pfu_low',pfu_low(ji,jj) * r1_e1e2t(ji,jj) * pdt |
---|
1477 | ! WRITE(numout,*) 'pfv_low',pfv_low(ji,jj) * r1_e1e2t(ji,jj) * pdt |
---|
1478 | ! WRITE(numout,*) 'pfu_lowm1',pfu_low(ji-1,jj) * r1_e1e2t(ji,jj) * pdt |
---|
1479 | ! WRITE(numout,*) 'pfv_lowm1',pfv_low(ji,jj-1) * r1_e1e2t(ji,jj) * pdt |
---|
1480 | ! |
---|
1481 | ! WRITE(numout,*) 'pt',pt(ji,jj) |
---|
1482 | ! WRITE(numout,*) 'ptim1',pt(ji-1,jj) |
---|
1483 | ! WRITE(numout,*) 'ptjm1',pt(ji,jj-1) |
---|
1484 | ! WRITE(numout,*) 'pt_low',pt_low(ji,jj) |
---|
1485 | ! WRITE(numout,*) 'zbetup',zbetup(ji,jj) |
---|
1486 | ! WRITE(numout,*) 'zbetdo',zbetdo(ji,jj) |
---|
1487 | ! WRITE(numout,*) 'zup',zup |
---|
1488 | ! WRITE(numout,*) 'zdo',zdo |
---|
1489 | ! ENDIF |
---|
1490 | ! |
---|
1491 | END DO |
---|
1492 | END DO |
---|
1493 | CALL lbc_lnk_multi( zbetup, 'T', 1., zbetdo, 'T', 1. ) ! lateral boundary cond. (unchanged sign) |
---|
1494 | |
---|
1495 | |
---|
1496 | ! monotonic flux in the y direction |
---|
1497 | ! --------------------------------- |
---|
1498 | DO jj = 1, jpjm1 |
---|
1499 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
1500 | zau = MIN( 1._wp , zbetdo(ji,jj) , zbetup(ji+1,jj) ) |
---|
1501 | zbu = MIN( 1._wp , zbetup(ji,jj) , zbetdo(ji+1,jj) ) |
---|
1502 | zcu = 0.5 + SIGN( 0.5 , pfu_ho(ji,jj) ) |
---|
1503 | ! |
---|
1504 | zcoef = ( zcu * zau + ( 1._wp - zcu ) * zbu ) |
---|
1505 | |
---|
1506 | pfu_ho(ji,jj) = pfu_ho(ji,jj) * zcoef + pfu_low(ji,jj) |
---|
1507 | |
---|
1508 | !! IF( ji==26 .AND. jj==86) THEN |
---|
1509 | !! WRITE(numout,*) 'coefU',zcoef |
---|
1510 | !! WRITE(numout,*) 'pfu_ho',(pfu_ho(ji,jj)) * r1_e1e2t(ji,jj) * pdt |
---|
1511 | !! WRITE(numout,*) 'pfu_hom1',(pfu_ho(ji-1,jj)) * r1_e1e2t(ji,jj) * pdt |
---|
1512 | !! ENDIF |
---|
1513 | |
---|
1514 | END DO |
---|
1515 | END DO |
---|
1516 | |
---|
1517 | DO jj = 1, jpjm1 |
---|
1518 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
1519 | zav = MIN( 1._wp , zbetdo(ji,jj) , zbetup(ji,jj+1) ) |
---|
1520 | zbv = MIN( 1._wp , zbetup(ji,jj) , zbetdo(ji,jj+1) ) |
---|
1521 | zcv = 0.5 + SIGN( 0.5 , pfv_ho(ji,jj) ) |
---|
1522 | ! |
---|
1523 | zcoef = ( zcv * zav + ( 1._wp - zcv ) * zbv ) |
---|
1524 | |
---|
1525 | pfv_ho(ji,jj) = pfv_ho(ji,jj) * zcoef + pfv_low(ji,jj) |
---|
1526 | |
---|
1527 | !! IF( ji==26 .AND. jj==86) THEN |
---|
1528 | !! WRITE(numout,*) 'coefV',zcoef |
---|
1529 | !! WRITE(numout,*) 'pfv_ho',(pfv_ho(ji,jj)) * r1_e1e2t(ji,jj) * pdt |
---|
1530 | !! WRITE(numout,*) 'pfv_hom1',(pfv_ho(ji,jj-1)) * r1_e1e2t(ji,jj) * pdt |
---|
1531 | !! ENDIF |
---|
1532 | END DO |
---|
1533 | END DO |
---|
1534 | |
---|
1535 | ! clem test |
---|
1536 | DO jj = 2, jpjm1 |
---|
1537 | DO ji = 2, fs_jpim1 ! vector opt. |
---|
1538 | IF( ll_gurvan ) THEN |
---|
1539 | zzt(ji,jj) = ( pt(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
1540 | & - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) |
---|
1541 | ELSE |
---|
1542 | zzt(ji,jj) = ( pt(ji,jj) - ( pfu_ho(ji,jj) - pfu_ho(ji-1,jj) ) * pdt * r1_e1e2t(ji,jj) & |
---|
1543 | & - ( pfv_ho(ji,jj) - pfv_ho(ji,jj-1) ) * pdt * r1_e1e2t(ji,jj) & |
---|
1544 | & + pt(ji,jj) * pdt * ( pu(ji,jj) - pu(ji-1,jj) ) * r1_e1e2t(ji,jj) * (1.-pamsk) & |
---|
1545 | & + pt(ji,jj) * pdt * ( pv(ji,jj) - pv(ji,jj-1) ) * r1_e1e2t(ji,jj) * (1.-pamsk) & |
---|
1546 | & ) * 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 | |
---|
1554 | ! |
---|
1555 | ! |
---|
1556 | END SUBROUTINE nonosc_2d |
---|
1557 | |
---|
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 | |
---|
1749 | #else |
---|
1750 | !!---------------------------------------------------------------------- |
---|
1751 | !! Default option Dummy module NO SI3 sea-ice model |
---|
1752 | !!---------------------------------------------------------------------- |
---|
1753 | #endif |
---|
1754 | |
---|
1755 | !!====================================================================== |
---|
1756 | END MODULE icedyn_adv_umx |
---|