1 | MODULE usrdef_zgr |
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2 | !!====================================================================== |
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3 | !! *** MODULE usrdef_zgr *** |
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4 | !! |
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5 | !! === GYRE configuration === |
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6 | !! |
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7 | !! User defined : vertical coordinate system of a user configuration |
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8 | !!====================================================================== |
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9 | !! History : 4.0 ! 2016-06 (G. Madec) Original code |
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10 | !!---------------------------------------------------------------------- |
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11 | |
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12 | !!---------------------------------------------------------------------- |
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13 | !! usr_def_zgr : user defined vertical coordinate system |
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14 | !! zgr_z : reference 1D z-coordinate |
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15 | !! zgr_top_bot: ocean top and bottom level indices |
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16 | !! zgr_zco : 3D verticl coordinate in pure z-coordinate case |
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17 | !!--------------------------------------------------------------------- |
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18 | USE oce ! ocean variables |
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19 | USE dom_oce ! ocean domain |
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20 | USE depth_e3 ! depth <=> e3 |
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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 ! distributed memory computing library |
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25 | |
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26 | IMPLICIT NONE |
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27 | PRIVATE |
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28 | |
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29 | PUBLIC usr_def_zgr ! called by domzgr.F90 |
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30 | |
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31 | !!---------------------------------------------------------------------- |
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32 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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33 | !! $Id$ |
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34 | !! Software governed by the CeCILL license (see ./LICENSE) |
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35 | !!---------------------------------------------------------------------- |
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36 | CONTAINS |
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37 | |
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38 | SUBROUTINE usr_def_zgr( ld_zco , ld_zps , ld_sco , ld_isfcav, & ! type of vertical coordinate |
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39 | & pdept_1d, pdepw_1d, pe3t_1d , pe3w_1d , & ! 1D reference vertical coordinate |
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40 | & pdept , pdepw , & ! 3D t & w-points depth |
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41 | & pe3t , pe3u , pe3v , pe3f , & ! vertical scale factors |
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42 | & pe3w , pe3uw , pe3vw , & ! - - - |
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43 | & k_top , k_bot ) ! top & bottom ocean level |
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44 | !!--------------------------------------------------------------------- |
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45 | !! *** ROUTINE usr_def_zgr *** |
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46 | !! |
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47 | !! ** Purpose : User defined the vertical coordinates |
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48 | !! |
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49 | !!---------------------------------------------------------------------- |
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50 | LOGICAL , INTENT(out) :: ld_zco, ld_zps, ld_sco ! vertical coordinate flags |
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51 | LOGICAL , INTENT(out) :: ld_isfcav ! under iceshelf cavity flag |
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52 | REAL(wp), DIMENSION(:) , INTENT(out) :: pdept_1d, pdepw_1d ! 1D grid-point depth [m] |
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53 | REAL(wp), DIMENSION(:) , INTENT(out) :: pe3t_1d , pe3w_1d ! 1D grid-point depth [m] |
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54 | REAL(wp), DIMENSION(:,:,:), INTENT(out) :: pdept, pdepw ! grid-point depth [m] |
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55 | REAL(wp), DIMENSION(:,:,:), INTENT(out) :: pe3t , pe3u , pe3v , pe3f ! vertical scale factors [m] |
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56 | REAL(wp), DIMENSION(:,:,:), INTENT(out) :: pe3w , pe3uw, pe3vw ! i-scale factors |
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57 | INTEGER , DIMENSION(:,:) , INTENT(out) :: k_top, k_bot ! first & last ocean level |
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58 | ! |
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59 | INTEGER :: inum ! local logical unit |
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60 | REAL(WP) :: z_zco, z_zps, z_sco, z_cav |
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61 | REAL(wp), DIMENSION(jpi,jpj) :: z2d ! 2D workspace |
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62 | !!---------------------------------------------------------------------- |
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63 | ! |
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64 | IF(lwp) WRITE(numout,*) |
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65 | IF(lwp) WRITE(numout,*) 'usr_def_zgr : GYRE configuration (z-coordinate closed flat box ocean without cavities)' |
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66 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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67 | ! |
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68 | ! |
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69 | ! type of vertical coordinate |
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70 | ! --------------------------- |
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71 | ld_zco = .TRUE. ! GYRE case: z-coordinate without ocean cavities |
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72 | ld_zps = .FALSE. |
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73 | ld_sco = .FALSE. |
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74 | ld_isfcav = .FALSE. |
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75 | ! |
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76 | ! |
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77 | ! Build the vertical coordinate system |
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78 | ! ------------------------------------ |
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79 | CALL zgr_z( pdept_1d, pdepw_1d, pe3t_1d , pe3w_1d ) ! Reference z-coordinate system |
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80 | ! |
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81 | CALL zgr_msk_top_bot( k_top , k_bot ) ! masked top and bottom ocean t-level indices |
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82 | ! |
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83 | ! ! z-coordinate (3D arrays) from the 1D z-coord. |
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84 | CALL zgr_zco( pdept_1d, pdepw_1d, pe3t_1d, pe3w_1d, & ! in : 1D reference vertical coordinate |
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85 | & pdept , pdepw , & ! out : 3D t & w-points depth |
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86 | & pe3t , pe3u , pe3v , pe3f , & ! vertical scale factors |
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87 | & pe3w , pe3uw , pe3vw ) ! - - - |
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88 | ! |
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89 | END SUBROUTINE usr_def_zgr |
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90 | |
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91 | |
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92 | SUBROUTINE zgr_z( pdept_1d, pdepw_1d, pe3t_1d , pe3w_1d ) ! 1D reference vertical coordinate |
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93 | !!---------------------------------------------------------------------- |
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94 | !! *** ROUTINE zgr_z *** |
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95 | !! |
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96 | !! ** Purpose : set the 1D depth of model levels and the resulting |
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97 | !! vertical scale factors. |
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98 | !! |
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99 | !! ** Method : 1D z-coordinate system (use in all type of coordinate) |
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100 | !! The depth of model levels is set from dep(k), an analytical function: |
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101 | !! w-level: depw_1d = dep(k) |
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102 | !! t-level: dept_1d = dep(k+0.5) |
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103 | !! The scale factors are the discrete derivative of the depth: |
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104 | !! e3w_1d(jk) = dk[ dept_1d ] |
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105 | !! e3t_1d(jk) = dk[ depw_1d ] |
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106 | !! with at top and bottom : |
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107 | !! e3w_1d( 1 ) = 2 * ( dept_1d( 1 ) - depw_1d( 1 ) ) |
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108 | !! e3t_1d(jpk) = 2 * ( dept_1d(jpk) - depw_1d(jpk) ) |
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109 | !! The depth are then re-computed from the sum of e3. This ensures |
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110 | !! that depths are identical when reading domain configuration file. |
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111 | !! Indeed, only e3. are saved in this file, depth are compute by a call |
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112 | !! to the e3_to_depth subroutine. |
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113 | !! |
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114 | !! Here the Madec & Imbard (1996) function is used. |
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115 | !! |
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116 | !! ** Action : - pdept_1d, pdepw_1d : depth of T- and W-point (m) |
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117 | !! - pe3t_1d , pe3w_1d : scale factors at T- and W-levels (m) |
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118 | !! |
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119 | !! Reference : Marti, Madec & Delecluse, 1992, JGR, 97, No8, 12,763-12,766. |
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120 | !! Madec and Imbard, 1996, Clim. Dyn. |
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121 | !!---------------------------------------------------------------------- |
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122 | REAL(wp), DIMENSION(:) , INTENT(out) :: pdept_1d, pdepw_1d ! 1D grid-point depth [m] |
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123 | REAL(wp), DIMENSION(:) , INTENT(out) :: pe3t_1d , pe3w_1d ! 1D vertical scale factors [m] |
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124 | ! |
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125 | INTEGER :: jk ! dummy loop indices |
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126 | REAL(wp) :: zt, zw ! local scalars |
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127 | REAL(wp) :: zsur, za0, za1, zkth, zacr ! Values for the Madec & Imbard (1996) function |
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128 | !!---------------------------------------------------------------------- |
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129 | ! |
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130 | ! Set parameters of z(k) function |
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131 | ! ------------------------------- |
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132 | zsur = -2033.194295283385_wp |
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133 | za0 = 155.8325369664153_wp |
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134 | za1 = 146.3615918601890_wp |
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135 | zkth = 17.28520372419791_wp |
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136 | zacr = 5.0_wp |
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137 | ! |
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138 | IF(lwp) THEN ! Parameter print |
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139 | WRITE(numout,*) |
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140 | WRITE(numout,*) ' zgr_z : Reference vertical z-coordinates ' |
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141 | WRITE(numout,*) ' ~~~~~~~' |
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142 | WRITE(numout,*) ' GYRE case : MI96 function with the following coefficients :' |
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143 | WRITE(numout,*) ' zsur = ', zsur |
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144 | WRITE(numout,*) ' za0 = ', za0 |
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145 | WRITE(numout,*) ' za1 = ', za1 |
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146 | WRITE(numout,*) ' zkth = ', zkth |
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147 | WRITE(numout,*) ' zacr = ', zacr |
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148 | ENDIF |
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149 | |
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150 | ! |
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151 | ! 1D Reference z-coordinate (using Madec & Imbard 1996 function) |
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152 | ! ------------------------- |
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153 | ! |
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154 | DO jk = 1, jpk ! depth at T and W-points |
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155 | zw = REAL( jk , wp ) |
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156 | zt = REAL( jk , wp ) + 0.5_wp |
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157 | pdepw_1d(jk) = ( zsur + za0 * zw + za1 * zacr * LOG( COSH( (zw-zkth) / zacr ) ) ) |
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158 | pdept_1d(jk) = ( zsur + za0 * zt + za1 * zacr * LOG( COSH( (zt-zkth) / zacr ) ) ) |
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159 | END DO |
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160 | ! |
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161 | ! ! e3t and e3w from depth |
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162 | CALL depth_to_e3( pdept_1d, pdepw_1d, pe3t_1d, pe3w_1d ) |
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163 | ! |
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164 | ! ! recompute depths from SUM(e3) <== needed |
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165 | CALL e3_to_depth( pe3t_1d, pe3w_1d, pdept_1d, pdepw_1d ) |
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166 | ! |
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167 | IF(lwp) THEN ! control print |
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168 | WRITE(numout,*) |
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169 | WRITE(numout,*) ' Reference 1D z-coordinate depth and scale factors:' |
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170 | WRITE(numout, "(9x,' level gdept_1d gdepw_1d e3t_1d e3w_1d ')" ) |
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171 | WRITE(numout, "(10x, i4, 4f9.2)" ) ( jk, pdept_1d(jk), pdepw_1d(jk), pe3t_1d(jk), pe3w_1d(jk), jk = 1, jpk ) |
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172 | ENDIF |
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173 | ! |
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174 | END SUBROUTINE zgr_z |
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175 | |
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176 | |
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177 | SUBROUTINE zgr_msk_top_bot( k_top , k_bot ) |
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178 | !!---------------------------------------------------------------------- |
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179 | !! *** ROUTINE zgr_msk_top_bot *** |
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180 | !! |
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181 | !! ** Purpose : set the masked top and bottom ocean t-levels |
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182 | !! |
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183 | !! ** Method : GYRE case = closed flat box ocean without ocean cavities |
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184 | !! k_top = 1 except along north, south, east and west boundaries |
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185 | !! k_bot = jpk-1 except along north, south, east and west boundaries |
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186 | !! |
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187 | !! ** Action : - k_top : first wet ocean level index |
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188 | !! - k_bot : last wet ocean level index |
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189 | !!---------------------------------------------------------------------- |
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190 | INTEGER , DIMENSION(:,:), INTENT(out) :: k_top , k_bot ! first & last wet ocean level |
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191 | ! |
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192 | REAL(wp), DIMENSION(jpi,jpj) :: z2d ! 2D local workspace |
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193 | !!---------------------------------------------------------------------- |
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194 | ! |
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195 | IF(lwp) WRITE(numout,*) |
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196 | IF(lwp) WRITE(numout,*) ' zgr_top_bot : defines the top and bottom wet ocean levels.' |
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197 | IF(lwp) WRITE(numout,*) ' ~~~~~~~~~~~' |
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198 | IF(lwp) WRITE(numout,*) ' GYRE case : closed flat box ocean without ocean cavities' |
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199 | ! |
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200 | z2d(:,:) = REAL( jpkm1 , wp ) ! flat bottom |
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201 | z2d(mi0( 1 ):mi1(jpiglo),mj0(Njs0):mj1( Njs0 )) = 0._wp ! line number Njs0 at 0 |
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202 | z2d(mi0(Nis0):mi1( Nis0 ),mj0( 1 ):mj1(jpjglo)) = 0._wp ! column number Nis0 at 0 |
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203 | ! |
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204 | CALL lbc_lnk( 'usrdef_zgr', z2d, 'T', 1. ) ! set surrounding land to zero (here jperio=0 ==>> closed) |
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205 | ! |
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206 | k_bot(:,:) = NINT( z2d(:,:) ) ! =jpkm1 over the ocean point, =0 elsewhere |
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207 | ! |
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208 | k_top(:,:) = MIN( 1 , k_bot(:,:) ) ! = 1 over the ocean point, =0 elsewhere |
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209 | ! |
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210 | END SUBROUTINE zgr_msk_top_bot |
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211 | |
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212 | |
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213 | SUBROUTINE zgr_zco( pdept_1d, pdepw_1d, pe3t_1d, pe3w_1d, & ! in : 1D reference vertical coordinate |
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214 | & pdept , pdepw , & ! out: 3D t & w-points depth |
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215 | & pe3t , pe3u , pe3v , pe3f , & ! vertical scale factors |
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216 | & pe3w , pe3uw , pe3vw ) ! - - - |
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217 | !!---------------------------------------------------------------------- |
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218 | !! *** ROUTINE zgr_zco *** |
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219 | !! |
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220 | !! ** Purpose : define the reference z-coordinate system |
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221 | !! |
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222 | !! ** Method : set 3D coord. arrays to reference 1D array |
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223 | !!---------------------------------------------------------------------- |
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224 | REAL(wp), DIMENSION(:) , INTENT(in ) :: pdept_1d, pdepw_1d ! 1D grid-point depth [m] |
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225 | REAL(wp), DIMENSION(:) , INTENT(in ) :: pe3t_1d , pe3w_1d ! 1D vertical scale factors [m] |
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226 | REAL(wp), DIMENSION(:,:,:), INTENT( out) :: pdept, pdepw ! grid-point depth [m] |
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227 | REAL(wp), DIMENSION(:,:,:), INTENT( out) :: pe3t , pe3u , pe3v , pe3f ! vertical scale factors [m] |
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228 | REAL(wp), DIMENSION(:,:,:), INTENT( out) :: pe3w , pe3uw, pe3vw ! - - - |
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229 | ! |
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230 | INTEGER :: jk |
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231 | !!---------------------------------------------------------------------- |
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232 | ! |
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233 | DO jk = 1, jpk |
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234 | pdept(:,:,jk) = pdept_1d(jk) |
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235 | pdepw(:,:,jk) = pdepw_1d(jk) |
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236 | pe3t (:,:,jk) = pe3t_1d (jk) |
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237 | pe3u (:,:,jk) = pe3t_1d (jk) |
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238 | pe3v (:,:,jk) = pe3t_1d (jk) |
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239 | pe3f (:,:,jk) = pe3t_1d (jk) |
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240 | pe3w (:,:,jk) = pe3w_1d (jk) |
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241 | pe3uw(:,:,jk) = pe3w_1d (jk) |
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242 | pe3vw(:,:,jk) = pe3w_1d (jk) |
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243 | END DO |
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244 | ! |
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245 | END SUBROUTINE zgr_zco |
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246 | |
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247 | !!====================================================================== |
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248 | END MODULE usrdef_zgr |
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