1 | !!---------------------------------------------------------------------- |
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2 | !! *** domzgr_zps.h90 *** |
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3 | !!---------------------------------------------------------------------- |
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4 | !!---------------------------------------------------------------------- |
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5 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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6 | !! $Header$ |
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7 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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8 | !!---------------------------------------------------------------------- |
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9 | |
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10 | #if ! defined key_zco |
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11 | !!---------------------------------------------------------------------- |
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12 | !! NOT 'key_zco' : 3D gdep. and e3. |
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13 | !!---------------------------------------------------------------------- |
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14 | |
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15 | SUBROUTINE zgr_zps |
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16 | !!---------------------------------------------------------------------- |
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17 | !! *** ROUTINE zgr_zps *** |
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18 | !! |
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19 | !! ** Purpose : the depth and vertical scale factor in partial step |
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20 | !! z-coordinate case |
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21 | !! |
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22 | !! ** Method : Partial steps : computes the 3D vertical scale factors |
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23 | !! of T-, U-, V-, W-, UW-, VW and F-points that are associated with |
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24 | !! a partial step representation of bottom topography. |
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25 | !! |
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26 | !! The reference depth of model levels is defined from an analytical |
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27 | !! function the derivative of which gives the reference vertical |
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28 | !! scale factors. |
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29 | !! From depth and scale factors reference, we compute there new value |
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30 | !! with partial steps on 3d arrays ( i, j, k ). |
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31 | !! |
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32 | !! w-level: gdepw(i,j,k) = fsdep(k) |
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33 | !! e3w(i,j,k) = dk(fsdep)(k) = fse3(i,j,k) |
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34 | !! t-level: gdept(i,j,k) = fsdep(k+0.5) |
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35 | !! e3t(i,j,k) = dk(fsdep)(k+0.5) = fse3(i,j,k+0.5) |
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36 | !! |
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37 | !! With the help of the bathymetric file ( bathymetry_depth_ORCA_R2.nc), |
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38 | !! we find the mbathy index of the depth at each grid point. |
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39 | !! This leads us to three cases: |
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40 | !! |
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41 | !! - bathy = 0 => mbathy = 0 |
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42 | !! - 1 < mbathy < jpkm1 |
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43 | !! - bathy > gdepw(jpk) => mbathy = jpkm1 |
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44 | !! |
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45 | !! Then, for each case, we find the new depth at t- and w- levels |
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46 | !! and the new vertical scale factors at t-, u-, v-, w-, uw-, vw- |
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47 | !! and f-points. |
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48 | !! |
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49 | !! This routine is given as an example, it must be modified |
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50 | !! following the user s desiderata. nevertheless, the output as |
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51 | !! well as the way to compute the model levels and scale factors |
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52 | !! must be respected in order to insure second order accuracy |
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53 | !! schemes. |
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54 | !! |
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55 | !! c a u t i o n : gdept_0, gdepw_0 and e3._0 are positives |
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56 | !! - - - - - - - gdept, gdepw and e3. are positives |
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57 | !! |
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58 | !! Reference : |
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59 | !! Pacanowsky & Gnanadesikan 1997, Mon. Wea. Rev., 126, 3248-3270. |
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60 | !! |
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61 | !! History : |
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62 | !! 8.5 ! 02-09 (A. Bozec, G. Madec) F90: Free form and module |
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63 | !! 9.0 ! 02-09 (A. de Miranda) rigid-lid + islands |
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64 | !!---------------------------------------------------------------------- |
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65 | !! * Local declarations |
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66 | INTEGER :: ji, jj, jk ! dummy loop indices |
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67 | INTEGER :: & |
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68 | ik, it ! temporary integers |
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69 | |
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70 | REAL(wp) :: & |
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71 | ze3tp, ze3wp, & ! Last ocean level thickness at T- and W-points |
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72 | zdepwp, & ! Ajusted ocean depth to avoid too small e3t |
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73 | zdepth, & ! " " |
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74 | zmax, zmin, & ! Maximum and minimum depth |
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75 | zdiff ! temporary scalar |
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76 | |
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77 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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78 | zprt ! " " |
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79 | |
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80 | LOGICAL :: ll_print ! Allow control print for debugging |
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81 | |
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82 | !!--------------------------------------------------------------------- |
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83 | !! OPA8.5, LODYC-IPSL (2002) |
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84 | !!--------------------------------------------------------------------- |
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85 | |
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86 | ! Local variable for debugging |
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87 | ll_print=.FALSE. |
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88 | !!! ll_print=.TRUE. |
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89 | |
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90 | ! Initialization of constant |
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91 | zmax = gdepw_0(jpk) + e3t_0(jpk) |
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92 | zmin = gdepw_0(4) |
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93 | |
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94 | ! Ocean depth |
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95 | IF(lwp .AND. ll_print) THEN |
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96 | WRITE(numout,*) |
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97 | WRITE(numout,*) 'dom_zgr_zps: bathy (in hundred of meters)' |
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98 | CALL prihre( bathy, jpi, jpj, 1,jpi, 1, 1, jpj, 1, 1.e-2, numout ) |
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99 | ENDIF |
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100 | |
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101 | IF(lwp) WRITE(numout,*) |
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102 | IF(lwp) WRITE(numout,*) ' zgr_zps : z-coordinate with partial steps' |
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103 | IF(lwp) WRITE(numout,*) ' ~~~~~~~ ' |
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104 | IF(lwp) WRITE(numout,*) ' mbathy is recomputed : bathy_level file is NOT used' |
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105 | |
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106 | |
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107 | ! bathymetry in level (from bathy_meter) |
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108 | ! =================== |
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109 | |
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110 | ! initialize mbathy to the maximum ocean level available |
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111 | mbathy(:,:) = jpkm1 |
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112 | |
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113 | ! storage of land and island's number (zera and negative values) in mbathy |
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114 | DO jj = 1, jpj |
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115 | DO ji= 1, jpi |
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116 | IF( bathy(ji,jj) <= 0. ) mbathy(ji,jj) = INT( bathy(ji,jj) ) |
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117 | END DO |
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118 | END DO |
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119 | |
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120 | ! bounded value of bathy |
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121 | ! minimum depth == 3 levels |
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122 | ! maximum depth == gdepw_0(jpk)+e3t_0(jpk) |
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123 | ! i.e. the last ocean level thickness cannot exceed e3t_0(jpkm1)+e3t_0(jpk) |
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124 | DO jj = 1, jpj |
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125 | DO ji= 1, jpi |
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126 | IF( bathy(ji,jj) <= 0. ) THEN |
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127 | bathy(ji,jj) = 0.e0 |
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128 | ELSE |
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129 | bathy(ji,jj) = MAX( bathy(ji,jj), zmin ) |
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130 | bathy(ji,jj) = MIN( bathy(ji,jj), zmax ) |
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131 | ENDIF |
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132 | END DO |
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133 | END DO |
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134 | |
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135 | ! Compute mbathy for ocean points (i.e. the number of ocean levels) |
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136 | ! find the number of ocean levels such that the last level thickness |
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137 | ! is larger than the minimum of e3zps_min and e3zps_rat * e3t_0 (where |
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138 | ! e3t_0 is the reference level thickness |
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139 | DO jk = jpkm1, 1, -1 |
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140 | zdepth = gdepw_0(jk) + MIN( e3zps_min, e3t_0(jk)*e3zps_rat ) |
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141 | DO jj = 1, jpj |
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142 | DO ji = 1, jpi |
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143 | IF( 0. < bathy(ji,jj) .AND. bathy(ji,jj) <= zdepth ) mbathy(ji,jj) = jk-1 |
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144 | END DO |
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145 | END DO |
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146 | END DO |
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147 | |
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148 | ! Scale factors and depth at T- and W-points |
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149 | |
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150 | ! intitialization to the reference z-coordinate |
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151 | DO jk = 1, jpk |
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152 | gdept(:,:,jk) = gdept_0(jk) |
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153 | gdepw(:,:,jk) = gdepw_0(jk) |
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154 | e3t (:,:,jk) = e3t_0 (jk) |
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155 | e3w (:,:,jk) = e3w_0 (jk) |
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156 | END DO |
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157 | hdept(:,:) = gdept(:,:,2 ) |
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158 | hdepw(:,:) = gdepw(:,:,3 ) |
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159 | |
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160 | ! |
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161 | DO jj = 1, jpj |
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162 | DO ji = 1, jpi |
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163 | ik = mbathy(ji,jj) |
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164 | ! ocean point only |
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165 | IF( ik > 0 ) THEN |
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166 | ! max ocean level case |
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167 | IF( ik == jpkm1 ) THEN |
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168 | zdepwp = bathy(ji,jj) |
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169 | ze3tp = bathy(ji,jj) - gdepw_0(ik) |
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170 | ze3wp = 0.5 * e3w_0(ik) * ( 1. + ( ze3tp/e3t_0(ik) ) ) |
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171 | e3t(ji,jj,ik ) = ze3tp |
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172 | e3t(ji,jj,ik+1) = ze3tp |
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173 | e3w(ji,jj,ik ) = ze3wp |
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174 | e3w(ji,jj,ik+1) = ze3tp |
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175 | gdepw(ji,jj,ik+1) = zdepwp |
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176 | gdept(ji,jj,ik ) = gdept_0(ik-1) + ze3wp |
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177 | gdept(ji,jj,ik+1) = gdept(ji,jj,ik) + ze3tp |
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178 | ! standard case |
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179 | ELSE |
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180 | !!alex |
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181 | IF( bathy(ji,jj) <= gdepw_0(ik+1) ) THEN |
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182 | gdepw(ji,jj,ik+1) = bathy(ji,jj) |
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183 | ELSE |
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184 | !!alex ctl write(*,*) 'zps',ji,jj,'bathy', bathy(ji,jj), 'depw ',gdepw_0(ik+1) |
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185 | gdepw(ji,jj,ik+1) = gdepw_0(ik+1) |
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186 | ENDIF |
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187 | !!Alex |
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188 | !!Alex gdepw(ji,jj,ik+1) = bathy(ji,jj) |
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189 | !!bug gm verifier les gdepw_0 |
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190 | gdept(ji,jj,ik ) = gdepw_0(ik) + ( gdepw(ji,jj,ik+1) - gdepw_0(ik) ) & |
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191 | & * ((gdept_0( ik ) - gdepw_0(ik) ) & |
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192 | & / ( gdepw_0( ik+1) - gdepw_0(ik) )) |
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193 | e3t(ji,jj,ik) = e3t_0(ik) * ( gdepw (ji,jj,ik+1) - gdepw_0(ik) ) & |
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194 | & / ( gdepw_0( ik+1) - gdepw_0(ik) ) |
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195 | e3w(ji,jj,ik) = 0.5 * ( gdepw(ji,jj,ik+1) + gdepw_0(ik+1) - 2.*gdepw_0(ik) ) & |
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196 | & * ( e3w_0(ik) / ( gdepw_0(ik+1) - gdepw_0(ik) ) ) |
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197 | ! ... on ik+1 |
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198 | e3w(ji,jj,ik+1) = e3t(ji,jj,ik) |
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199 | e3t(ji,jj,ik+1) = e3t(ji,jj,ik) |
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200 | gdept(ji,jj,ik+1) = gdept(ji,jj,ik) + e3t(ji,jj,ik) |
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201 | ENDIF |
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202 | ENDIF |
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203 | END DO |
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204 | END DO |
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205 | |
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206 | it = 0 |
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207 | DO jj = 1, jpj |
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208 | DO ji = 1, jpi |
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209 | ik = mbathy(ji,jj) |
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210 | ! ocean point only |
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211 | IF( ik > 0 ) THEN |
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212 | ! bathymetry output |
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213 | hdept(ji,jj) = gdept(ji,jj,ik ) |
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214 | hdepw(ji,jj) = gdepw(ji,jj,ik+1) |
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215 | e3tp (ji,jj) = e3t(ji,jj,ik ) |
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216 | e3wp (ji,jj) = e3w(ji,jj,ik ) |
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217 | ! test |
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218 | zdiff= gdepw(ji,jj,ik+1) - gdept(ji,jj,ik ) |
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219 | IF( zdiff <= 0. .AND. lwp ) THEN |
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220 | it=it+1 |
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221 | WRITE(numout,*) ' it = ', it, ' ik = ', ik, ' (i,j) = ', ji, jj |
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222 | WRITE(numout,*) ' bathy = ', bathy(ji,jj) |
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223 | WRITE(numout,*) ' gdept= ', gdept(ji,jj,ik), ' gdepw= ', gdepw(ji,jj,ik+1), & |
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224 | ' zdiff = ', zdiff |
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225 | WRITE(numout,*) ' e3tp = ', e3t(ji,jj,ik ), ' e3wp = ', e3w(ji,jj,ik ) |
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226 | ENDIF |
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227 | ENDIF |
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228 | END DO |
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229 | END DO |
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230 | |
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231 | ! Scale factors and depth at U-, V-, UW and VW-points |
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232 | |
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233 | ! initialisation to z-scale factors |
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234 | DO jk = 1, jpk |
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235 | e3u (:,:,jk) = e3t_0(jk) |
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236 | e3v (:,:,jk) = e3t_0(jk) |
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237 | e3uw(:,:,jk) = e3w_0(jk) |
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238 | e3vw(:,:,jk) = e3w_0(jk) |
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239 | END DO |
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240 | |
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241 | ! Computed as the minimum of neighbooring scale factors |
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242 | DO jk = 1,jpk |
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243 | DO jj = 1, jpjm1 |
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244 | DO ji = 1, fs_jpim1 ! vector opt. |
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245 | e3u (ji,jj,jk) = MIN( e3t(ji,jj,jk), e3t(ji+1,jj,jk)) |
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246 | e3v (ji,jj,jk) = MIN( e3t(ji,jj,jk), e3t(ji,jj+1,jk)) |
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247 | e3uw(ji,jj,jk) = MIN( e3w(ji,jj,jk), e3w(ji+1,jj,jk) ) |
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248 | e3vw(ji,jj,jk) = MIN( e3w(ji,jj,jk), e3w(ji,jj+1,jk) ) |
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249 | END DO |
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250 | END DO |
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251 | END DO |
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252 | |
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253 | ! Boundary conditions |
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254 | CALL lbc_lnk( e3u , 'U', 1. ) ; CALL lbc_lnk( e3uw, 'U', 1. ) |
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255 | CALL lbc_lnk( e3v , 'V', 1. ) ; CALL lbc_lnk( e3vw, 'V', 1. ) |
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256 | |
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257 | ! set to z-scale factor if zero (i.e. along closed boundaries) |
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258 | DO jk = 1, jpk |
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259 | DO jj = 1, jpj |
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260 | DO ji = 1, jpi |
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261 | IF( e3u (ji,jj,jk) == 0.e0 ) e3u (ji,jj,jk) = e3t_0(jk) |
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262 | IF( e3v (ji,jj,jk) == 0.e0 ) e3v (ji,jj,jk) = e3t_0(jk) |
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263 | IF( e3uw(ji,jj,jk) == 0.e0 ) e3uw(ji,jj,jk) = e3w_0(jk) |
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264 | IF( e3vw(ji,jj,jk) == 0.e0 ) e3vw(ji,jj,jk) = e3w_0(jk) |
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265 | END DO |
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266 | END DO |
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267 | END DO |
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268 | |
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269 | ! Scale factor at F-point |
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270 | |
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271 | ! initialisation to z-scale factors |
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272 | DO jk = 1, jpk |
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273 | e3f (:,:,jk) = e3t_0(jk) |
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274 | END DO |
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275 | |
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276 | ! Computed as the minimum of neighbooring V-scale factors |
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277 | DO jk = 1, jpk |
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278 | DO jj = 1, jpjm1 |
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279 | DO ji = 1, fs_jpim1 ! vector opt. |
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280 | e3f(ji,jj,jk) = MIN( e3v(ji,jj,jk), e3v(ji+1,jj,jk) ) |
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281 | END DO |
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282 | END DO |
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283 | END DO |
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284 | ! Boundary conditions |
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285 | CALL lbc_lnk( e3f, 'F', 1. ) |
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286 | |
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287 | ! set to z-scale factor if zero (i.e. along closed boundaries) |
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288 | DO jk = 1, jpk |
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289 | DO jj = 1, jpj |
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290 | DO ji = 1, jpi |
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291 | IF( e3f(ji,jj,jk) == 0.e0 ) e3f(ji,jj,jk) = e3t_0(jk) |
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292 | END DO |
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293 | END DO |
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294 | END DO |
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295 | !!bug ? gm: must be a do loop with mj0,mj1 |
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296 | |
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297 | ! we duplicate factor scales for jj = 1 and jj = 2 |
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298 | e3t(:,mj0(1),:) = e3t(:,mj0(2),:) |
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299 | e3w(:,mj0(1),:) = e3w(:,mj0(2),:) |
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300 | e3u(:,mj0(1),:) = e3u(:,mj0(2),:) |
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301 | e3v(:,mj0(1),:) = e3v(:,mj0(2),:) |
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302 | e3f(:,mj0(1),:) = e3f(:,mj0(2),:) |
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303 | |
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304 | |
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305 | |
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306 | ! Compute gdep3w (vertical sum of e3w) |
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307 | |
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308 | gdep3w (:,:,1) = 0.5 * e3w (:,:,1) |
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309 | DO jk = 2, jpk |
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310 | gdep3w (:,:,jk) = gdep3w (:,:,jk-1) + e3w (:,:,jk) |
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311 | END DO |
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312 | |
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313 | ! Control print |
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314 | 9600 FORMAT(9x,' level gdept gdepw e3t e3w ') |
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315 | 9610 FORMAT(10x,i4,4f9.2) |
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316 | IF(lwp .AND. ll_print) THEN |
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317 | DO jj = 1,jpj |
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318 | DO ji = 1, jpi |
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319 | ik = MAX(mbathy(ji,jj),1) |
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320 | zprt(ji,jj) = e3t(ji,jj,ik) |
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321 | END DO |
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322 | END DO |
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323 | WRITE(numout,*) |
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324 | WRITE(numout,*) 'domzgr e3t(mbathy)' |
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325 | CALL prihre(zprt,jpi,jpj,1,jpi,1,1,jpj,1,1.e-3,numout) |
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326 | DO jj = 1,jpj |
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327 | DO ji = 1, jpi |
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328 | ik = MAX(mbathy(ji,jj),1) |
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329 | zprt(ji,jj) = e3w(ji,jj,ik) |
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330 | END DO |
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331 | END DO |
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332 | WRITE(numout,*) |
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333 | WRITE(numout,*) 'domzgr e3w(mbathy)' |
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334 | CALL prihre(zprt,jpi,jpj,1,jpi,1,1,jpj,1,1.e-3,numout) |
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335 | DO jj = 1,jpj |
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336 | DO ji = 1, jpi |
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337 | ik = MAX(mbathy(ji,jj),1) |
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338 | zprt(ji,jj) = e3u(ji,jj,ik) |
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339 | END DO |
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340 | END DO |
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341 | |
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342 | WRITE(numout,*) |
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343 | WRITE(numout,*) 'domzgr e3u(mbathy)' |
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344 | CALL prihre(zprt,jpi,jpj,1,jpi,1,1,jpj,1,1.e-3,numout) |
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345 | DO jj = 1,jpj |
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346 | DO ji = 1, jpi |
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347 | ik = MAX(mbathy(ji,jj),1) |
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348 | zprt(ji,jj) = e3v(ji,jj,ik) |
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349 | END DO |
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350 | END DO |
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351 | WRITE(numout,*) |
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352 | WRITE(numout,*) 'domzgr e3v(mbathy)' |
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353 | CALL prihre(zprt,jpi,jpj,1,jpi,1,1,jpj,1,1.e-3,numout) |
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354 | DO jj = 1,jpj |
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355 | DO ji = 1, jpi |
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356 | ik = MAX(mbathy(ji,jj),1) |
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357 | zprt(ji,jj) = e3f(ji,jj,ik) |
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358 | END DO |
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359 | END DO |
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360 | |
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361 | WRITE(numout,*) |
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362 | WRITE(numout,*) 'domzgr e3f(mbathy)' |
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363 | CALL prihre(zprt,jpi,jpj,1,jpi,1,1,jpj,1,1.e-3,numout) |
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364 | DO jj = 1,jpj |
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365 | DO ji = 1, jpi |
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366 | ik = MAX(mbathy(ji,jj),1) |
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367 | zprt(ji,jj) = gdep3w(ji,jj,ik) |
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368 | END DO |
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369 | END DO |
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370 | WRITE(numout,*) |
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371 | WRITE(numout,*) 'domzgr gdep3w(mbathy)' |
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372 | CALL prihre(zprt,jpi,jpj,1,jpi,1,1,jpj,1,1.e-3,numout) |
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373 | |
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374 | ENDIF |
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375 | |
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376 | |
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377 | DO jk = 1,jpk |
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378 | DO jj = 1, jpj |
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379 | DO ji = 1, jpi |
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380 | IF( e3w(ji,jj,jk) <= 0. .or. e3t(ji,jj,jk) <= 0. ) THEN |
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381 | IF(lwp) THEN |
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382 | WRITE(numout,*) ' e r r o r : e3w or e3t =< 0 ' |
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383 | WRITE(numout,*) ' ========= --------------- ' |
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384 | WRITE(numout,*) |
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385 | ENDIF |
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386 | STOP 'domzgr.psteps' |
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387 | ENDIF |
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388 | IF( gdepw(ji,jj,jk) < 0. .or. gdept(ji,jj,jk) < 0. ) THEN |
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389 | IF(lwp) THEN |
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390 | WRITE(numout,*) ' e r r o r : gdepw or gdept < 0 ' |
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391 | WRITE(numout,*) ' ========= ------------------ ' |
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392 | WRITE(numout,*) |
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393 | ENDIF |
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394 | STOP 'domzgr.psteps' |
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395 | ENDIF |
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396 | END DO |
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397 | END DO |
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398 | END DO |
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399 | |
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400 | IF(lwp) THEN |
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401 | WRITE(numout,*) ' e3t lev 21 ' |
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402 | CALL prihre(e3t(1,1,21),jpi,jpj,50,59,1,1,5,1,0.,numout) |
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403 | WRITE(numout,*) ' e3w lev 21 ' |
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404 | CALL prihre(e3w(1,1,21),jpi,jpj,50,59,1,1,5,1,0.,numout) |
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405 | WRITE(numout,*) ' e3u lev 21 ' |
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406 | CALL prihre(e3u(1,1,21),jpi,jpj,50,59,1,1,5,1,0.,numout) |
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407 | WRITE(numout,*) ' e3v lev 21 ' |
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408 | CALL prihre(e3v(1,1,21),jpi,jpj,50,59,1,1,5,1,0.,numout) |
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409 | WRITE(numout,*) ' e3f lev 21 ' |
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410 | CALL prihre(e3f(1,1,21),jpi,jpj,50,59,1,1,5,1,0.,numout) |
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411 | WRITE(numout,*) ' e3t lev 22 ' |
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412 | CALL prihre(e3t(1,1,22),jpi,jpj,50,59,1,1,5,1,0.,numout) |
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413 | WRITE(numout,*) ' e3w lev 22 ' |
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414 | CALL prihre(e3w(1,1,22),jpi,jpj,50,59,1,1,5,1,0.,numout) |
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415 | WRITE(numout,*) ' e3u lev 22 ' |
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416 | CALL prihre(e3u(1,1,22),jpi,jpj,50,59,1,1,5,1,0.,numout) |
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417 | WRITE(numout,*) ' e3v lev 22 ' |
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418 | CALL prihre(e3v(1,1,22),jpi,jpj,50,59,1,1,5,1,0.,numout) |
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419 | WRITE(numout,*) ' e3f lev 22 ' |
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420 | CALL prihre(e3f(1,1,22),jpi,jpj,50,59,1,1,5,1,0.,numout) |
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421 | ENDIF |
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422 | |
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423 | ! =========== |
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424 | ! Zoom domain |
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425 | ! =========== |
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426 | |
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427 | IF( lzoom ) CALL zgr_bat_zoom |
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428 | |
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429 | ! ================ |
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430 | ! Bathymetry check |
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431 | ! ================ |
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432 | |
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433 | CALL zgr_bat_ctl |
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434 | |
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435 | END SUBROUTINE zgr_zps |
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436 | |
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437 | #else |
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438 | !!---------------------------------------------------------------------- |
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439 | !! Default option : Empty routine |
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440 | !!---------------------------------------------------------------------- |
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441 | SUBROUTINE zgr_zps |
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442 | END SUBROUTINE zgr_zps |
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443 | #endif |
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