1 | MODULE wet_dry |
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2 | !!============================================================================== |
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3 | !! *** MODULE wet_dry *** |
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4 | !! Wetting and drying includes initialisation routine and routines to |
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5 | !! compute and apply flux limiters and preserve water depth positivity |
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6 | !! only effects if wetting/drying is on (ln_wd == .true.) |
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7 | !!============================================================================== |
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8 | !! History : 3.6 ! 2014-09 ((H.Liu) Original code |
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9 | !! ! will add the runoff and periodic BC case later |
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10 | !!---------------------------------------------------------------------- |
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11 | |
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12 | !!---------------------------------------------------------------------- |
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13 | !! wad_init : initialisation of wetting and drying |
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14 | !! wad_lmt : horizontal flux limiter and limited velocity when wetting and drying happens |
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15 | !! wad_lmt_bt : same as wad_lmt for the barotropic stepping (dynspg_ts) |
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16 | !!---------------------------------------------------------------------- |
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17 | USE oce ! ocean dynamics and tracers |
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18 | USE dom_oce ! ocean space and time domain |
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19 | USE sbc_oce , ONLY: ln_rnf ! surface boundary condition: ocean |
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20 | USE sbcrnf ! river runoff |
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21 | ! |
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22 | USE in_out_manager ! I/O manager |
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23 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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24 | USE lib_mpp ! MPP library |
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25 | USE timing ! Timing |
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26 | |
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27 | IMPLICIT NONE |
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28 | PRIVATE |
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29 | |
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30 | !!---------------------------------------------------------------------- |
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31 | !! critical depths,filters, limiters,and masks for Wetting and Drying |
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32 | !! --------------------------------------------------------------------- |
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33 | |
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34 | REAL(wp), PUBLIC, ALLOCATABLE, DIMENSION(:,:) :: wdmask !: u- and v- limiter |
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35 | REAL(wp), PUBLIC, ALLOCATABLE, DIMENSION(:,:) :: ht_wd !: wetting and drying t-pt depths |
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36 | ! ! (can include negative depths) |
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37 | |
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38 | LOGICAL, PUBLIC :: ln_wd !: Wetting/drying activation switch (T:on,F:off) |
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39 | REAL(wp), PUBLIC :: rn_wdmin1 !: minimum water depth on dried cells |
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40 | REAL(wp), PUBLIC :: rn_wdmin2 !: tolerrance of minimum water depth on dried cells |
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41 | REAL(wp), PUBLIC :: rn_wdld !: land elevation below which wetting/drying will be considered |
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42 | INTEGER , PUBLIC :: nn_wdit !: maximum number of iteration for W/D limiter |
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43 | |
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44 | PUBLIC wad_init ! initialisation routine called by step.F90 |
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45 | PUBLIC wad_lmt ! routine called by sshwzv.F90 |
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46 | PUBLIC wad_lmt_bt ! routine called by dynspg_ts.F90 |
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47 | |
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48 | !! * Substitutions |
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49 | # include "vectopt_loop_substitute.h90" |
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50 | !!---------------------------------------------------------------------- |
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51 | CONTAINS |
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52 | |
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53 | SUBROUTINE wad_init |
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54 | !!---------------------------------------------------------------------- |
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55 | !! *** ROUTINE wad_init *** |
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56 | !! |
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57 | !! ** Purpose : read wetting and drying namelist and print the variables. |
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58 | !! |
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59 | !! ** input : - namwad namelist |
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60 | !!---------------------------------------------------------------------- |
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61 | INTEGER :: ios, ierr ! Local integer |
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62 | !! |
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63 | NAMELIST/namwad/ ln_wd, rn_wdmin1, rn_wdmin2, rn_wdld, nn_wdit |
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64 | !!---------------------------------------------------------------------- |
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65 | ! |
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66 | REWIND( numnam_ref ) ! Namelist namwad in reference namelist : Parameters for Wetting/Drying |
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67 | READ ( numnam_ref, namwad, IOSTAT = ios, ERR = 905) |
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68 | 905 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namwad in reference namelist', .TRUE.) |
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69 | REWIND( numnam_cfg ) ! Namelist namwad in configuration namelist : Parameters for Wetting/Drying |
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70 | READ ( numnam_cfg, namwad, IOSTAT = ios, ERR = 906) |
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71 | 906 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namwad in configuration namelist', .TRUE. ) |
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72 | IF(lwm) WRITE ( numond, namwad ) |
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73 | ! |
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74 | IF(lwp) THEN ! control print |
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75 | WRITE(numout,*) |
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76 | WRITE(numout,*) 'wad_init : Wetting and drying initialization through namelist read' |
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77 | WRITE(numout,*) '~~~~~~~~' |
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78 | WRITE(numout,*) ' Namelist namwad' |
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79 | WRITE(numout,*) ' Logical activation ln_wd = ', ln_wd |
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80 | WRITE(numout,*) ' Minimum wet depth on dried cells rn_wdmin1 = ', rn_wdmin1 |
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81 | WRITE(numout,*) ' Tolerance of min wet depth rn_wdmin2 = ', rn_wdmin2 |
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82 | WRITE(numout,*) ' land elevation threshold rn_wdld = ', rn_wdld |
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83 | WRITE(numout,*) ' Max iteration for W/D limiter nn_wdit = ', nn_wdit |
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84 | ENDIF |
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85 | ! |
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86 | IF(ln_wd) THEN |
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87 | ALLOCATE( wdmask(jpi,jpj), ht_wd(jpi,jpj), STAT=ierr ) |
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88 | IF( ierr /= 0 ) CALL ctl_stop('STOP', 'wad_init : Array allocation error') |
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89 | ENDIF |
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90 | ! |
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91 | END SUBROUTINE wad_init |
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92 | |
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93 | |
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94 | SUBROUTINE wad_lmt( sshb1, sshemp, z2dt ) |
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95 | !!---------------------------------------------------------------------- |
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96 | !! *** ROUTINE wad_lmt *** |
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97 | !! |
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98 | !! ** Purpose : generate flux limiters for wetting/drying |
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99 | !! |
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100 | !! ** Method : - Prevent negative depth occurring (Not ready for Agrif) |
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101 | !! |
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102 | !! ** Action : - calculate flux limiter and W/D flag |
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103 | !!---------------------------------------------------------------------- |
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104 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: sshb1 !!gm DOCTOR names: should start with p ! |
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105 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: sshemp |
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106 | REAL(wp) , INTENT(in ) :: z2dt |
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107 | ! |
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108 | INTEGER :: ji, jj, jk, jk1 ! dummy loop indices |
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109 | INTEGER :: jflag ! local scalar |
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110 | REAL(wp) :: zcoef, zdep1, zdep2 ! local scalars |
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111 | REAL(wp) :: zzflxp, zzflxn ! local scalars |
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112 | REAL(wp) :: zdepwd ! local scalar, always wet cell depth |
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113 | REAL(wp) :: ztmp ! local scalars |
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114 | REAL(wp), DIMENSION(jpi,jpj) :: zwdlmtu, zwdlmtv ! W/D flux limiters |
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115 | REAL(wp), DIMENSION(jpi,jpj) :: zflxp , zflxn ! local 2D workspace |
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116 | REAL(wp), DIMENSION(jpi,jpj) :: zflxu , zflxv ! local 2D workspace |
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117 | REAL(wp), DIMENSION(jpi,jpj) :: zflxu1 , zflxv1 ! local 2D workspace |
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118 | !!---------------------------------------------------------------------- |
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119 | ! |
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120 | IF( ln_timing ) CALL timing_start('wad_lmt') |
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121 | ! |
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122 | !IF(lwp) WRITE(numout,*) |
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123 | !IF(lwp) WRITE(numout,*) 'wad_lmt : wetting/drying limiters and velocity limiting' |
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124 | ! |
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125 | jflag = 0 |
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126 | zdepwd = 50._wp !maximum depth on which that W/D could possibly happen |
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127 | ! |
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128 | zflxp(:,:) = 0._wp |
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129 | zflxn(:,:) = 0._wp |
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130 | zflxu(:,:) = 0._wp |
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131 | zflxv(:,:) = 0._wp |
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132 | ! |
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133 | zwdlmtu(:,:) = 1._wp |
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134 | zwdlmtv(:,:) = 1._wp |
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135 | ! |
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136 | ! Horizontal Flux in u and v direction |
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137 | DO jk = 1, jpkm1 |
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138 | DO jj = 1, jpj |
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139 | DO ji = 1, jpi |
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140 | zflxu(ji,jj) = zflxu(ji,jj) + e3u_n(ji,jj,jk) * un(ji,jj,jk) * umask(ji,jj,jk) |
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141 | zflxv(ji,jj) = zflxv(ji,jj) + e3v_n(ji,jj,jk) * vn(ji,jj,jk) * vmask(ji,jj,jk) |
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142 | END DO |
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143 | END DO |
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144 | END DO |
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145 | ! |
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146 | zflxu(:,:) = zflxu(:,:) * e2u(:,:) |
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147 | zflxv(:,:) = zflxv(:,:) * e1v(:,:) |
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148 | ! |
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149 | wdmask(:,:) = 1 |
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150 | DO jj = 2, jpj |
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151 | DO ji = 2, jpi |
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152 | ! |
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153 | IF( tmask(ji, jj, 1) < 0.5_wp ) CYCLE ! we don't care about land cells |
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154 | IF( ht_wd(ji,jj) > zdepwd ) CYCLE ! and cells which are unlikely to dry |
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155 | ! |
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156 | zflxp(ji,jj) = MAX( zflxu(ji,jj) , 0._wp ) - MIN( zflxu(ji-1,jj) , 0._wp ) & |
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157 | & + MAX( zflxv(ji,jj) , 0._wp ) - MIN( zflxv(ji,jj-1) , 0._wp ) |
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158 | zflxn(ji,jj) = MIN( zflxu(ji,jj) , 0._wp ) - MAX( zflxu(ji-1,jj) , 0._wp ) & |
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159 | & + MIN( zflxv(ji,jj) , 0._wp ) - MAX( zflxv(ji,jj-1) , 0._wp ) |
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160 | ! |
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161 | zdep2 = ht_wd(ji,jj) + sshb1(ji,jj) - rn_wdmin1 |
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162 | IF( zdep2 .le. 0._wp) THEN !add more safty, but not necessary |
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163 | sshb1(ji,jj) = rn_wdmin1 - ht_wd(ji,jj) |
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164 | IF( zflxu(ji, jj) > 0._wp ) zwdlmtu(ji ,jj) = 0._wp |
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165 | IF( zflxu(ji-1,jj) < 0._wp ) zwdlmtu(ji-1,jj) = 0._wp |
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166 | IF( zflxv(ji, jj) > 0._wp ) zwdlmtv(ji ,jj) = 0._wp |
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167 | IF( zflxv(ji,jj-1) < 0._wp ) zwdlmtv(ji,jj-1) = 0._wp |
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168 | wdmask(ji,jj) = 0._wp |
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169 | ENDIF |
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170 | END DO |
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171 | END DO |
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172 | !! |
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173 | !! start limiter iterations |
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174 | DO jk1 = 1, nn_wdit + 1 |
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175 | ! |
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176 | zflxu1(:,:) = zflxu(:,:) * zwdlmtu(:,:) |
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177 | zflxv1(:,:) = zflxv(:,:) * zwdlmtv(:,:) |
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178 | jflag = 0 ! flag indicating if any further iterations are needed |
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179 | ! |
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180 | DO jj = 2, jpj |
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181 | DO ji = 2, jpi |
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182 | ! |
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183 | IF( tmask(ji,jj,1) < 0.5_wp ) CYCLE |
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184 | IF( ht_wd(ji,jj) > zdepwd ) CYCLE |
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185 | ! |
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186 | ztmp = e1e2t(ji,jj) |
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187 | ! |
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188 | zzflxp = MAX( zflxu1(ji,jj) , 0._wp ) - MIN( zflxu1(ji-1,jj) , 0._wp ) & |
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189 | & + MAX( zflxv1(ji,jj) , 0._wp ) - MIN( zflxv1(ji,jj-1) , 0._wp ) |
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190 | zzflxn = MIN( zflxu1(ji,jj) , 0._wp ) - MAX( zflxu1(ji-1,jj) , 0._wp ) & |
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191 | & + MIN( zflxv1(ji,jj) , 0._wp ) - MAX( zflxv1(ji,jj-1) , 0._wp ) |
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192 | ! |
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193 | zdep1 = (zzflxp + zzflxn) * z2dt / ztmp |
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194 | zdep2 = ht_wd(ji,jj) + sshb1(ji,jj) - rn_wdmin1 - z2dt * sshemp(ji,jj) |
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195 | ! |
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196 | IF( zdep1 > zdep2 ) THEN |
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197 | wdmask(ji, jj) = 0 |
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198 | zcoef = ( ( zdep2 - rn_wdmin2 ) * ztmp - zzflxn * z2dt ) / ( zflxp(ji,jj) * z2dt ) |
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199 | !zcoef = ( ( zdep2 - rn_wdmin2 ) * ztmp - zzflxn * z2dt ) / ( zzflxp * z2dt ) |
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200 | ! flag if the limiter has been used but stop flagging if the only |
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201 | ! changes have zeroed the coefficient since further iterations will |
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202 | ! not change anything |
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203 | IF( zcoef > 0._wp ) THEN ; jflag = 1 |
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204 | ELSE ; zcoef = 0._wp |
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205 | ENDIF |
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206 | IF( jk1 > nn_wdit ) zcoef = 0._wp |
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207 | IF( zflxu1(ji, jj) > 0._wp ) zwdlmtu(ji ,jj) = zcoef |
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208 | IF( zflxu1(ji-1,jj) < 0._wp ) zwdlmtu(ji-1,jj) = zcoef |
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209 | IF( zflxv1(ji, jj) > 0._wp ) zwdlmtv(ji ,jj) = zcoef |
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210 | IF( zflxv1(ji,jj-1) < 0._wp ) zwdlmtv(ji,jj-1) = zcoef |
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211 | ENDIF |
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212 | END DO ! ji loop |
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213 | END DO ! jj loop |
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214 | ! |
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215 | CALL lbc_lnk( zwdlmtu, 'U', 1. ) |
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216 | CALL lbc_lnk( zwdlmtv, 'V', 1. ) |
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217 | ! |
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218 | IF(lk_mpp) CALL mpp_max(jflag) !max over the global domain |
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219 | ! |
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220 | IF(jflag == 0) EXIT |
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221 | ! |
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222 | END DO ! jk1 loop |
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223 | |
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224 | DO jk = 1, jpkm1 |
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225 | un(:,:,jk) = un(:,:,jk) * zwdlmtu(:,:) |
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226 | vn(:,:,jk) = vn(:,:,jk) * zwdlmtv(:,:) |
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227 | END DO |
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228 | |
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229 | !!gm ==> Andrew : the lbclnk below is useless since above lbclnk is applied on zwdlmtu/v |
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230 | !! and un, vn always with lbclnk |
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231 | CALL lbc_lnk( un, 'U', -1. ) |
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232 | CALL lbc_lnk( vn, 'V', -1. ) |
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233 | !!gm end |
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234 | ! |
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235 | un_b(:,:) = un_b(:,:) * zwdlmtu(:,:) |
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236 | vn_b(:,:) = vn_b(:,:) * zwdlmtv(:,:) |
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237 | !!gm ==> Andrew : probably same as above |
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238 | CALL lbc_lnk( un_b, 'U', -1. ) |
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239 | CALL lbc_lnk( vn_b, 'V', -1. ) |
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240 | !!gm end |
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241 | |
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242 | IF(jflag == 1 .AND. lwp) WRITE(numout,*) 'Need more iterations in wad_lmt!!!' |
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243 | |
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244 | !IF( ln_rnf ) CALL sbc_rnf_div( hdivn ) ! runoffs (update hdivn field) |
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245 | !IF( nn_cla == 1 ) CALL cla_div ( kt ) ! Cross Land Advection (update hdivn field) |
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246 | ! |
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247 | ! |
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248 | IF( ln_timing ) CALL timing_stop('wad_lmt') |
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249 | ! |
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250 | END SUBROUTINE wad_lmt |
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251 | |
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252 | |
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253 | SUBROUTINE wad_lmt_bt( zflxu, zflxv, sshn_e, zssh_frc, rdtbt ) |
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254 | !!---------------------------------------------------------------------- |
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255 | !! *** ROUTINE wad_lmt *** |
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256 | !! |
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257 | !! ** Purpose : limiting flux in the barotropic stepping (dynspg_ts) |
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258 | !! |
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259 | !! ** Method : - Prevent negative depth occurring (Not ready for Agrif) |
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260 | !! |
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261 | !! ** Action : - calculate flux limiter and W/D flag |
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262 | !!---------------------------------------------------------------------- |
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263 | REAL(wp), INTENT(in) :: rdtbt ! ocean time-step index |
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264 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: zflxu, zflxv, sshn_e, zssh_frc |
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265 | ! |
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266 | INTEGER :: ji, jj, jk, jk1 ! dummy loop indices |
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267 | INTEGER :: jflag ! local scalar |
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268 | REAL(wp) :: z2dt |
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269 | REAL(wp) :: zcoef, zdep1, zdep2 ! local scalars |
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270 | REAL(wp) :: zzflxp, zzflxn ! local scalars |
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271 | REAL(wp) :: zdepwd ! local scalar, always wet cell depth |
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272 | REAL(wp) :: ztmp ! local scalars |
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273 | REAL(wp), DIMENSION(jpi,jpj) :: zwdlmtu, zwdlmtv !: W/D flux limiters |
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274 | REAL(wp), DIMENSION(jpi,jpj) :: zflxp, zflxn ! local 2D workspace |
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275 | REAL(wp), DIMENSION(jpi,jpj) :: zflxu1, zflxv1 ! local 2D workspace |
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276 | !!---------------------------------------------------------------------- |
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277 | ! |
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278 | IF( ln_timing ) CALL timing_start('wad_lmt_bt') |
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279 | ! |
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280 | !IF(lwp) WRITE(numout,*) |
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281 | !IF(lwp) WRITE(numout,*) 'wad_lmt_bt : wetting/drying limiters and velocity limiting' |
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282 | |
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283 | jflag = 0 |
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284 | zdepwd = 50._wp !maximum depth that ocean cells can have W/D processes |
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285 | |
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286 | z2dt = rdtbt |
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287 | |
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288 | zflxp(:,:) = 0._wp |
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289 | zflxn(:,:) = 0._wp |
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290 | |
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291 | zwdlmtu(:,:) = 1._wp |
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292 | zwdlmtv(:,:) = 1._wp |
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293 | |
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294 | ! Horizontal Flux in u and v direction |
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295 | |
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296 | DO jj = 2, jpj |
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297 | DO ji = 2, jpi |
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298 | ! |
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299 | IF( tmask(ji,jj,1) < 0.5_wp ) CYCLE ! we don't care about land cells |
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300 | IF( ht_wd(ji,jj) > zdepwd ) CYCLE ! and cells which are unlikely to dry |
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301 | ! |
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302 | zflxp(ji,jj) = MAX( zflxu(ji,jj) , 0._wp ) - MIN( zflxu(ji-1,jj) , 0._wp ) & |
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303 | & + MAX( zflxv(ji,jj) , 0._wp ) - MIN( zflxv(ji,jj-1) , 0._wp ) |
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304 | zflxn(ji,jj) = MIN( zflxu(ji,jj) , 0._wp ) - MAX( zflxu(ji-1,jj) , 0._wp ) & |
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305 | & + MIN( zflxv(ji,jj) , 0._wp ) - MAX( zflxv(ji,jj-1) , 0._wp ) |
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306 | |
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307 | zdep2 = ht_wd(ji,jj) + sshn_e(ji,jj) - rn_wdmin1 |
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308 | IF(zdep2 .le. 0._wp) THEN !add more safety, but not necessary |
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309 | sshn_e(ji,jj) = rn_wdmin1 - ht_wd(ji,jj) |
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310 | IF( zflxu(ji, jj) > 0._wp ) zwdlmtu(ji ,jj) = 0._wp |
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311 | IF( zflxu(ji-1,jj) < 0._wp ) zwdlmtu(ji-1,jj) = 0._wp |
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312 | IF( zflxv(ji, jj) > 0._wp ) zwdlmtv(ji ,jj) = 0._wp |
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313 | IF( zflxv(ji,jj-1) < 0._wp ) zwdlmtv(ji,jj-1) = 0._wp |
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314 | ENDIF |
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315 | END DO |
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316 | END DO |
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317 | |
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318 | |
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319 | !! start limiter iterations |
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320 | DO jk1 = 1, nn_wdit + 1 |
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321 | ! |
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322 | zflxu1(:,:) = zflxu(:,:) * zwdlmtu(:,:) |
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323 | zflxv1(:,:) = zflxv(:,:) * zwdlmtv(:,:) |
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324 | jflag = 0 ! flag indicating if any further iterations are needed |
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325 | ! |
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326 | DO jj = 2, jpj |
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327 | DO ji = 2, jpi |
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328 | ! |
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329 | IF( tmask(ji,jj, 1 ) < 0.5_wp ) CYCLE |
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330 | IF( ht_wd(ji,jj) > zdepwd ) CYCLE |
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331 | ! |
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332 | ztmp = e1e2t(ji,jj) |
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333 | ! |
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334 | zzflxp = MAX( zflxu1(ji,jj) , 0._wp ) - MIN( zflxu1(ji-1,jj) , 0._wp ) & |
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335 | & + MAX( zflxv1(ji,jj) , 0._wp ) - MIN( zflxv1(ji,jj-1) , 0._wp ) |
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336 | zzflxn = MIN( zflxu1(ji,jj) , 0._wp ) - MAX( zflxu1(ji-1,jj) , 0._wp ) & |
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337 | & + MIN( zflxv1(ji,jj) , 0._wp ) - MAX( zflxv1(ji,jj-1) , 0._wp ) |
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338 | |
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339 | zdep1 = (zzflxp + zzflxn) * z2dt / ztmp |
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340 | zdep2 = ht_wd(ji,jj) + sshn_e(ji,jj) - rn_wdmin1 - z2dt * zssh_frc(ji,jj) |
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341 | |
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342 | IF(zdep1 > zdep2) THEN |
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343 | zcoef = ( ( zdep2 - rn_wdmin2 ) * ztmp - zzflxn * z2dt ) / ( zflxp(ji,jj) * z2dt ) |
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344 | !zcoef = ( ( zdep2 - rn_wdmin2 ) * ztmp - zzflxn * z2dt ) / ( zzflxp * z2dt ) |
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345 | ! flag if the limiter has been used but stop flagging if the only |
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346 | ! changes have zeroed the coefficient since further iterations will |
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347 | ! not change anything |
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348 | IF( zcoef > 0._wp ) THEN |
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349 | jflag = 1 |
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350 | ELSE |
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351 | zcoef = 0._wp |
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352 | ENDIF |
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353 | IF( jk1 > nn_wdit ) zcoef = 0._wp |
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354 | IF( zflxu1(ji, jj) > 0._wp ) zwdlmtu(ji ,jj) = zcoef |
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355 | IF( zflxu1(ji-1,jj) < 0._wp ) zwdlmtu(ji-1,jj) = zcoef |
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356 | IF( zflxv1(ji, jj) > 0._wp ) zwdlmtv(ji ,jj) = zcoef |
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357 | IF( zflxv1(ji,jj-1) < 0._wp ) zwdlmtv(ji,jj-1) = zcoef |
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358 | ENDIF |
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359 | END DO ! ji loop |
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360 | END DO ! jj loop |
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361 | ! |
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362 | CALL lbc_lnk( zwdlmtu, 'U', 1. ) |
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363 | CALL lbc_lnk( zwdlmtv, 'V', 1. ) |
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364 | ! |
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365 | IF(lk_mpp) CALL mpp_max(jflag) !max over the global domain |
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366 | ! |
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367 | IF( jflag == 0 ) EXIT |
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368 | ! |
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369 | END DO ! jk1 loop |
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370 | ! |
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371 | zflxu(:,:) = zflxu(:,:) * zwdlmtu(:, :) |
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372 | zflxv(:,:) = zflxv(:,:) * zwdlmtv(:, :) |
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373 | ! |
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374 | CALL lbc_lnk( zflxu, 'U', -1. ) |
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375 | CALL lbc_lnk( zflxv, 'V', -1. ) |
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376 | ! |
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377 | IF(jflag == 1 .AND. lwp) WRITE(numout,*) 'Need more iterations in wad_lmt_bt!!!' |
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378 | |
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379 | !IF( ln_rnf ) CALL sbc_rnf_div( hdivn ) ! runoffs (update hdivn field) |
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380 | !IF( nn_cla == 1 ) CALL cla_div ( kt ) ! Cross Land Advection (update hdivn field) |
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381 | ! |
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382 | IF( ln_timing ) CALL timing_stop('wad_lmt_bt') |
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383 | ! |
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384 | END SUBROUTINE wad_lmt_bt |
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385 | |
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386 | !!============================================================================== |
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387 | END MODULE wet_dry |
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