1 | MODULE usrdef_zgr |
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2 | !!============================================================================== |
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3 | !! *** MODULE usrdef_zgr *** |
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4 | !! Ocean domain : user defined vertical coordinate system |
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5 | !! |
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6 | !! === OVERFLOW case === |
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7 | !! |
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8 | !!============================================================================== |
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9 | !! History : 4.0 ! 2016-08 (S. Flavoni) 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 (required) |
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14 | !! zgr_z1d : reference 1D z-coordinate |
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15 | !! zgr_zps : 3D vertical coordinate in z-partial cell coordinate |
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16 | !!--------------------------------------------------------------------- |
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17 | USE oce ! ocean variables |
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18 | USE dom_oce , ONLY: ln_zco, ln_zps, ln_sco ! ocean space and time domain |
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19 | USE dom_oce , ONLY: nimpp, njmpp ! ocean space and time domain |
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20 | USE dom_oce , ONLY: glamt ! ocean space and time domain |
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21 | USE usrdef_nam ! User defined : namelist variables |
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22 | ! |
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23 | USE in_out_manager ! I/O manager |
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24 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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25 | USE lib_mpp ! distributed memory computing library |
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26 | USE wrk_nemo ! Memory allocation |
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27 | USE timing ! Timing |
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28 | |
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29 | IMPLICIT NONE |
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30 | PRIVATE |
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31 | |
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32 | PUBLIC usr_def_zgr ! called by domzgr.F90 |
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33 | |
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34 | !! * Substitutions |
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35 | # include "vectopt_loop_substitute.h90" |
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36 | !!---------------------------------------------------------------------- |
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37 | !! NEMO/OPA 4.0 , NEMO Consortium (2016) |
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38 | !! $Id: domzgr.F90 6624 2016-05-26 08:59:48Z gm $ |
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39 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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40 | !!---------------------------------------------------------------------- |
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41 | CONTAINS |
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42 | |
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43 | SUBROUTINE usr_def_zgr( ld_zco , ld_zps , ld_sco , ld_isfcav, & ! type of vertical coordinate |
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44 | & pdept_1d, pdepw_1d, pe3t_1d , pe3w_1d , & ! 1D reference vertical coordinate |
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45 | & pdept , pdepw , & ! 3D t & w-points depth |
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46 | & pe3t , pe3u , pe3v , pe3f , & ! vertical scale factors |
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47 | & pe3w , pe3uw , pe3vw, & ! - - - |
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48 | & k_top , k_bot ) ! top & bottom ocean level |
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49 | !!--------------------------------------------------------------------- |
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50 | !! *** ROUTINE usr_def_zgr *** |
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51 | !! |
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52 | !! ** Purpose : User defined the vertical coordinates |
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53 | !! |
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54 | !!---------------------------------------------------------------------- |
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55 | LOGICAL , INTENT(out) :: ld_zco, ld_zps, ld_sco ! vertical coordinate flags |
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56 | LOGICAL , INTENT(out) :: ld_isfcav ! under iceshelf cavity flag |
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57 | REAL(wp), DIMENSION(:) , INTENT(out) :: pdept_1d, pdepw_1d ! 1D grid-point depth [m] |
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58 | REAL(wp), DIMENSION(:) , INTENT(out) :: pe3t_1d , pe3w_1d ! 1D grid-point depth [m] |
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59 | REAL(wp), DIMENSION(:,:,:), INTENT(out) :: pdept, pdepw ! grid-point depth [m] |
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60 | REAL(wp), DIMENSION(:,:,:), INTENT(out) :: pe3t , pe3u , pe3v , pe3f ! vertical scale factors [m] |
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61 | REAL(wp), DIMENSION(:,:,:), INTENT(out) :: pe3w , pe3uw, pe3vw ! i-scale factors |
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62 | INTEGER , DIMENSION(:,:) , INTENT(out) :: k_top, k_bot ! first & last ocean level |
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63 | ! |
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64 | INTEGER :: ji, jj, jk ! dummy indices |
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65 | REAL(wp) :: zfact, z1_jpkm1 ! local scalar |
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66 | REAL(wp) :: ze3min ! local scalar |
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67 | REAL(wp), DIMENSION(jpi,jpj) :: zht, zhu, z2d ! 2D workspace |
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68 | |
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69 | |
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70 | INTEGER :: ik, it, ikb, ikt ! temporary integers |
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71 | REAL(wp) :: ze3tp , ze3wp ! Last ocean level thickness at T- and W-points |
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72 | REAL(wp) :: zdepwp ! Ajusted ocean depth to avoid too small e3t |
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73 | REAL(wp) :: zdiff ! temporary scalar |
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74 | REAL(wp) :: zmax ! temporary scalar |
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75 | |
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76 | |
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77 | !!---------------------------------------------------------------------- |
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78 | ! |
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79 | IF(lwp) WRITE(numout,*) |
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80 | IF(lwp) WRITE(numout,*) 'usr_def_zgr : OVERFLOW configuration (z-coordinate closed box ocean without cavities)' |
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81 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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82 | ! |
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83 | ! |
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84 | ! type of vertical coordinate |
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85 | ! --------------------------- |
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86 | ! already set in usrdef_nam.F90 by reading the namusr_def namelist except for ISF |
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87 | ld_isfcav = .FALSE. |
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88 | ! |
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89 | ! |
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90 | ! Build the vertical coordinate system |
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91 | ! ------------------------------------ |
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92 | ! |
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93 | ! !== UNmasked meter bathymetry ==! |
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94 | ! |
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95 | ! western continental shelf (500m deep) and eastern deep ocean (2000m deep) |
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96 | ! with a hyperbolic tangent transition centered at 40km |
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97 | ! NB: here glamt is in kilometers |
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98 | ! |
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99 | zht(:,:) = + ( 500. + 0.5 * 1500. * ( 1.0 + tanh( (glamt(:,:) - 40.) / 7. ) ) ) |
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100 | ! |
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101 | ! at u-point: recompute from glamu (see usrdef_hgr.F90) to avoid the masking when using lbc_lnk |
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102 | zfact = rn_dx * 1.e-3 ! conversion in km |
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103 | DO ji = 1, jpi |
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104 | zhu(ji,:) = + ( 500. + 0.5 * 1500. * ( 1.0 + tanh( ( zfact * REAL( ji-1 + nimpp-1 , wp ) - 40.) / 7. ) ) ) |
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105 | END DO |
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106 | ! |
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107 | CALL zgr_z1d( pdept_1d, pdepw_1d, pe3t_1d , pe3w_1d ) ! Reference z-coordinate system |
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108 | ! |
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109 | ! |
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110 | ! !== top masked level bathymetry ==! (all coordinates) |
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111 | ! |
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112 | ! no ocean cavities : top ocean level is ONE, except over land |
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113 | ! the ocean basin surrounded by land (1 grid-point) set through lbc_lnk call as jperio=0 |
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114 | z2d(:,:) = 1._wp ! surface ocean is the 1st level |
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115 | CALL lbc_lnk( z2d, 'T', 1. ) ! closed basin |
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116 | k_top(:,:) = z2d(:,:) |
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117 | ! |
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118 | ! |
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119 | ! |
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120 | IF ( ln_sco ) THEN !== s-coordinate ==! (terrain-following coordinate) |
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121 | ! |
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122 | k_bot(:,:) = jpkm1 * k_top(:,:) !* bottom ocean = jpk-1 (here use k_top as a land mask) |
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123 | ! |
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124 | ! !* terrain-following coordinate with e3.(k)=cst) |
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125 | z1_jpkm1 = 1._wp / REAL( jpkm1 , wp) |
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126 | DO jk = 1, jpk |
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127 | pdept(:,:,jk) = zht(:,:) * z1_jpkm1 * ( REAL( jk , wp ) - 0.5_wp ) |
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128 | pdepw(:,:,jk) = zht(:,:) * z1_jpkm1 * ( REAL( jk-1 , wp ) ) |
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129 | pe3t (:,:,jk) = zht(:,:) * z1_jpkm1 |
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130 | pe3u (:,:,jk) = zhu(:,:) * z1_jpkm1 |
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131 | pe3v (:,:,jk) = zht(:,:) * z1_jpkm1 |
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132 | pe3f (:,:,jk) = zhu(:,:) * z1_jpkm1 |
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133 | pe3w (:,:,jk) = zht(:,:) * z1_jpkm1 |
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134 | pe3uw(:,:,jk) = zhu(:,:) * z1_jpkm1 |
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135 | pe3vw(:,:,jk) = zht(:,:) * z1_jpkm1 |
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136 | END DO |
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137 | ENDIF |
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138 | ! |
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139 | ! |
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140 | IF ( ln_zco ) THEN !== z-coordinate ==! (step-like topography) |
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141 | ! |
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142 | ! !* bottom ocean compute from the depth of grid-points |
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143 | k_bot(:,:) = jpkm1 * k_top(:,:) ! here use k_top as a land mask |
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144 | DO jk = 1, jpkm1 |
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145 | WHERE( pdept_1d(jk) < zht(:,:) .AND. zht(:,:) <= pdept_1d(jk+1) ) k_bot(:,:) = jk * k_top(:,:) |
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146 | END DO |
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147 | ! !* horizontally uniform coordinate (reference z-co everywhere) |
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148 | DO jk = 1, jpk |
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149 | pdept(:,:,jk) = pdept_1d(jk) |
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150 | pdepw(:,:,jk) = pdepw_1d(jk) |
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151 | pe3t (:,:,jk) = pe3t_1d (jk) |
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152 | pe3u (:,:,jk) = pe3t_1d (jk) |
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153 | pe3v (:,:,jk) = pe3t_1d (jk) |
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154 | pe3f (:,:,jk) = pe3t_1d (jk) |
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155 | pe3w (:,:,jk) = pe3w_1d (jk) |
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156 | pe3uw(:,:,jk) = pe3w_1d (jk) |
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157 | pe3vw(:,:,jk) = pe3w_1d (jk) |
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158 | END DO |
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159 | ENDIF |
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160 | ! |
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161 | ! |
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162 | IF ( ln_zps ) THEN !== zps-coordinate ==! (partial bottom-steps) |
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163 | |
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164 | |
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165 | |
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166 | CALL ctl_stop( 'STOP', ' zps coordinate not yet coded' ) |
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167 | |
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168 | |
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169 | |
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170 | |
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171 | !!---------------------------------------------------------------------- |
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172 | !! *** ROUTINE zgr_zps *** |
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173 | !! |
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174 | !! ** Purpose : the depth and vertical scale factor in partial step |
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175 | !! reference z-coordinate case |
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176 | !! |
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177 | !! ** Method : Partial steps : computes the 3D vertical scale factors |
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178 | !! of T-, U-, V-, W-, UW-, VW and F-points that are associated with |
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179 | !! a partial step representation of bottom topography. |
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180 | !! |
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181 | !! |
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182 | !! Reference : Pacanowsky & Gnanadesikan 1997, Mon. Wea. Rev., 126, 3248-3270. |
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183 | !!---------------------------------------------------------------------- |
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184 | !!--------------------------------------------------------------------- |
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185 | ! |
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186 | ze3min = 0.1_wp * rn_dz |
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187 | IF(lwp) WRITE(numout,*) ' minimum thickness of the partial cells = 10 % of e3 = ', ze3min |
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188 | ! |
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189 | ! |
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190 | ! !* bottom ocean compute from the depth of grid-points |
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191 | k_bot(:,:) = jpkm1 |
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192 | DO jk = jpkm1, 1, -1 |
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193 | WHERE( zht(:,:) <= pdepw_1d(jk) + ze3min ) k_bot(:,:) = jk-1 |
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194 | END DO |
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195 | |
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196 | ! !* vertical coordinate system |
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197 | ! |
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198 | DO jk = 1, jpk ! initialization to the reference z-coordinate |
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199 | pdept(:,:,jk) = pdept_1d(jk) |
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200 | pdepw(:,:,jk) = pdepw_1d(jk) |
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201 | pe3t (:,:,jk) = pe3t_1d (jk) |
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202 | pe3u (:,:,jk) = pe3t_1d (jk) |
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203 | pe3v (:,:,jk) = pe3t_1d (jk) |
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204 | pe3f (:,:,jk) = pe3t_1d (jk) |
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205 | pe3w (:,:,jk) = pe3w_1d (jk) |
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206 | pe3uw(:,:,jk) = pe3w_1d (jk) |
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207 | pe3vw(:,:,jk) = pe3w_1d (jk) |
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208 | END DO |
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209 | ! |
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210 | DO jj = 1, jpj ! bottom scale factors and depth at T- and W-points |
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211 | DO ji = 1, jpi |
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212 | ik = k_bot(ji,jj) |
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213 | IF( ik /= jpkm1 ) THEN ! last level ==> ref 1d z-coordinate |
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214 | pdepw(ji,jj,ik+1) = MIN( zht(ji,jj) , pdepw_1d(ik+1) ) |
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215 | pe3t (ji,jj,ik ) = pdepw(ji,jj,ik) - pdepw(ji,jj,ik+1) |
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216 | pe3t (ji,jj,ik+1) = pe3t (ji,jj,ik) |
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217 | |
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218 | pdept(ji,jj,ik ) = pdept(ji,jj,ik-1) + pe3t(ji,jj,ik) * 0.5_wp |
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219 | pe3w (ji,jj,ik+1) = pdepw(ji,jj,ik) - pdepw(ji,jj,ik+1) |
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220 | ENDIF |
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221 | END DO |
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222 | END DO |
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223 | |
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224 | |
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225 | ! |
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226 | DO jj = 1, jpj ! bottom scale factors and depth at T- and W-points |
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227 | DO ji = 1, jpi |
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228 | ik = k_bot(ji,jj) |
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229 | ! |
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230 | IF( zht(ji,jj) <= pdepw_1d(ik+1) ) THEN ; pdepw(ji,jj,ik+1) = zht(ji,jj) |
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231 | ELSE ; pdepw(ji,jj,ik+1) = pdepw_1d(ik+1) |
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232 | ENDIF |
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233 | !gm Bug? check the gdepw_1d |
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234 | ! ... on ik |
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235 | pdept(ji,jj,ik) = pdepw_1d(ik) + ( pdepw (ji,jj,ik+1) - pdepw_1d(ik) ) & |
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236 | & * ( pdept_1d( ik ) - pdepw_1d(ik) ) & |
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237 | & / ( pdepw_1d( ik+1) - pdepw_1d(ik) ) |
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238 | pe3t (ji,jj,ik) = pe3t_1d (ik) * ( pdepw (ji,jj,ik+1) - pdepw_1d(ik) ) & |
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239 | & / ( pdepw_1d( ik+1) - pdepw_1d(ik) ) |
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240 | pe3w (ji,jj,ik) = 0.5_wp * ( pdepw(ji,jj,ik+1) + pdepw_1d(ik+1) - 2._wp * pdepw_1d(ik) ) & |
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241 | & * ( pe3w_1d(ik) / ( pdepw_1d(ik+1) - pdepw_1d(ik) ) ) |
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242 | ! ... on ik+1 |
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243 | pe3w (ji,jj,ik+1) = pe3t (ji,jj,ik) |
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244 | pe3t (ji,jj,ik+1) = pe3t (ji,jj,ik) |
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245 | pdept(ji,jj,ik+1) = pdept(ji,jj,ik) + pe3t(ji,jj,ik) |
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246 | END DO |
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247 | END DO |
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248 | ! |
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249 | ! |
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250 | ! |
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251 | ! ! bottom scale factors and depth at U-, V-, UW and VW-points |
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252 | ! |
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253 | DO jk = 1,jpk ! Computed as the minimum of neighbooring scale factors |
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254 | DO jj = 1, jpjm1 |
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255 | DO ji = 1, jpim1 |
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256 | pe3u (ji,jj,jk) = MIN( pe3t(ji,jj,jk), pe3t(ji+1,jj,jk) ) |
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257 | pe3v (ji,jj,jk) = MIN( pe3t(ji,jj,jk), pe3t(ji,jj+1,jk) ) |
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258 | pe3uw(ji,jj,jk) = MIN( pe3w(ji,jj,jk), pe3w(ji+1,jj,jk) ) |
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259 | pe3vw(ji,jj,jk) = MIN( pe3w(ji,jj,jk), pe3w(ji,jj+1,jk) ) |
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260 | END DO |
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261 | END DO |
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262 | END DO |
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263 | ! ! lateral boundary conditions |
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264 | CALL lbc_lnk( pe3u , 'U', 1._wp ) ; CALL lbc_lnk( pe3uw, 'U', 1._wp ) |
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265 | CALL lbc_lnk( pe3v , 'V', 1._wp ) ; CALL lbc_lnk( pe3vw, 'V', 1._wp ) |
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266 | ! |
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267 | |
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268 | DO jk = 1, jpk ! set to z-scale factor if zero (i.e. along closed boundaries) |
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269 | WHERE( pe3u (:,:,jk) == 0._wp ) pe3u (:,:,jk) = pe3t_1d(jk) |
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270 | WHERE( pe3v (:,:,jk) == 0._wp ) pe3v (:,:,jk) = pe3t_1d(jk) |
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271 | WHERE( pe3uw(:,:,jk) == 0._wp ) pe3uw(:,:,jk) = pe3w_1d(jk) |
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272 | WHERE( pe3vw(:,:,jk) == 0._wp ) pe3vw(:,:,jk) = pe3w_1d(jk) |
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273 | END DO |
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274 | |
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275 | ! Scale factor at F-point |
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276 | DO jk = 1, jpk ! initialisation to z-scale factors |
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277 | pe3f(:,:,jk) = pe3t_1d(jk) |
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278 | END DO |
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279 | DO jk = 1, jpk ! Computed as the minimum of neighbooring V-scale factors |
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280 | DO jj = 1, jpjm1 |
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281 | DO ji = 1, fs_jpim1 ! vector opt. |
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282 | pe3f(ji,jj,jk) = MIN( pe3v(ji,jj,jk), pe3v(ji+1,jj,jk) ) |
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283 | END DO |
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284 | END DO |
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285 | END DO |
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286 | CALL lbc_lnk( pe3f, 'F', 1._wp ) ! Lateral boundary conditions |
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287 | ! |
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288 | DO jk = 1, jpk ! set to z-scale factor if zero (i.e. along closed boundaries) |
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289 | WHERE( pe3f(:,:,jk) == 0._wp ) pe3f(:,:,jk) = pe3t_1d(jk) |
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290 | END DO |
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291 | !!gm bug ? : must be a do loop with mj0,mj1 |
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292 | ! |
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293 | |
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294 | !!gm DO it differently ! |
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295 | ! pe3t(:,mj0(1),:) = e3t(:,mj0(2),:) ! we duplicate factor scales for jj = 1 and jj = 2 |
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296 | ! pe3w(:,mj0(1),:) = e3w(:,mj0(2),:) |
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297 | ! pe3u(:,mj0(1),:) = e3u(:,mj0(2),:) |
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298 | ! pe3v(:,mj0(1),:) = e3v(:,mj0(2),:) |
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299 | ! pe3f(:,mj0(1),:) = e3f(:,mj0(2),:) |
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300 | |
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301 | ! Control of the sign |
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302 | IF( MINVAL( pe3t (:,:,:) ) <= 0._wp ) CALL ctl_stop( ' zgr_zps : e r r o r e3t_0 <= 0' ) |
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303 | IF( MINVAL( pe3w (:,:,:) ) <= 0._wp ) CALL ctl_stop( ' zgr_zps : e r r o r e3w_0 <= 0' ) |
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304 | IF( MINVAL( pdept(:,:,:) ) < 0._wp ) CALL ctl_stop( ' zgr_zps : e r r o r gdept_0 < 0' ) |
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305 | IF( MINVAL( pdepw(:,:,:) ) < 0._wp ) CALL ctl_stop( ' zgr_zps : e r r o r gdepw_0 < 0' ) |
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306 | |
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307 | ! Compute gde3w_0 (vertical sum of e3w) |
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308 | ! IF ( ln_isfcav ) THEN ! if cavity |
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309 | ! WHERE( misfdep == 0 ) misfdep = 1 |
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310 | ! DO jj = 1,jpj |
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311 | ! DO ji = 1,jpi |
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312 | ! gde3w_0(ji,jj,1) = 0.5_wp * e3w_0(ji,jj,1) |
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313 | ! DO jk = 2, misfdep(ji,jj) |
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314 | ! gde3w_0(ji,jj,jk) = gde3w_0(ji,jj,jk-1) + e3w_0(ji,jj,jk) |
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315 | ! END DO |
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316 | ! IF( misfdep(ji,jj) >= 2 ) gde3w_0(ji,jj,misfdep(ji,jj)) = risfdep(ji,jj) + 0.5_wp * e3w_0(ji,jj,misfdep(ji,jj)) |
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317 | ! DO jk = misfdep(ji,jj) + 1, jpk |
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318 | ! gde3w_0(ji,jj,jk) = gde3w_0(ji,jj,jk-1) + e3w_0(ji,jj,jk) |
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319 | ! END DO |
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320 | ! END DO |
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321 | ! END DO |
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322 | ! ELSE ! no cavity |
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323 | ! gde3w_0(:,:,1) = 0.5_wp * e3w_0(:,:,1) |
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324 | ! DO jk = 2, jpk |
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325 | ! gde3w_0(:,:,jk) = gde3w_0(:,:,jk-1) + e3w_0(:,:,jk) |
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326 | ! END DO |
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327 | ! END IF |
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328 | ! |
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329 | ! |
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330 | |
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331 | |
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332 | |
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333 | |
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334 | ENDIF |
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335 | ! |
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336 | END SUBROUTINE usr_def_zgr |
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337 | |
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338 | |
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339 | SUBROUTINE zgr_z1d( pdept_1d, pdepw_1d, pe3t_1d , pe3w_1d ) ! 1D reference vertical coordinate |
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340 | !!---------------------------------------------------------------------- |
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341 | !! *** ROUTINE zgr_z1d *** |
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342 | !! |
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343 | !! ** Purpose : set the depth of model levels and the resulting |
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344 | !! vertical scale factors. |
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345 | !! |
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346 | !! ** Method : z-coordinate system (use in all type of coordinate) |
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347 | !! The depth of model levels is defined from an analytical |
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348 | !! function the derivative of which gives the scale factors. |
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349 | !! both depth and scale factors only depend on k (1d arrays). |
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350 | !! w-level: pdepw_1d = pdep(k) |
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351 | !! pe3w_1d(k) = dk(pdep)(k) = e3(k) |
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352 | !! t-level: pdept_1d = pdep(k+0.5) |
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353 | !! pe3t_1d(k) = dk(pdep)(k+0.5) = e3(k+0.5) |
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354 | !! |
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355 | !! === Here constant vertical resolution === |
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356 | !! |
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357 | !! ** Action : - pdept_1d, pdepw_1d : depth of T- and W-point (m) |
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358 | !! - pe3t_1d , pe3w_1d : scale factors at T- and W-levels (m) |
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359 | !!---------------------------------------------------------------------- |
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360 | REAL(wp), DIMENSION(:), INTENT(out) :: pdept_1d, pdepw_1d ! 1D grid-point depth [m] |
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361 | REAL(wp), DIMENSION(:), INTENT(out) :: pe3t_1d , pe3w_1d ! 1D vertical scale factors [m] |
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362 | ! |
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363 | INTEGER :: jk ! dummy loop indices |
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364 | REAL(wp) :: zt, zw ! local scalar |
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365 | !!---------------------------------------------------------------------- |
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366 | ! |
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367 | IF(lwp) THEN ! Parameter print |
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368 | WRITE(numout,*) |
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369 | WRITE(numout,*) ' zgr_z1d : Reference vertical z-coordinates: uniform dz = ', rn_dz |
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370 | WRITE(numout,*) ' ~~~~~~~' |
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371 | ENDIF |
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372 | ! |
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373 | ! Reference z-coordinate (depth - scale factor at T- and W-points) ! Madec & Imbard 1996 function |
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374 | ! ---------------------- |
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375 | DO jk = 1, jpk |
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376 | zw = REAL( jk , wp ) |
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377 | zt = REAL( jk , wp ) + 0.5_wp |
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378 | pdepw_1d(jk) = rn_dz * REAL( jk-1 , wp ) |
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379 | pdept_1d(jk) = rn_dz * ( REAL( jk-1 , wp ) + 0.5_wp ) |
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380 | pe3w_1d (jk) = rn_dz |
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381 | pe3t_1d (jk) = rn_dz |
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382 | END DO |
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383 | ! |
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384 | IF(lwp) THEN ! control print |
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385 | WRITE(numout,*) |
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386 | WRITE(numout,*) ' Reference 1D z-coordinate depth and scale factors:' |
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387 | WRITE(numout, "(9x,' level gdept_1d gdepw_1d e3t_1d e3w_1d ')" ) |
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388 | 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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389 | ENDIF |
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390 | ! |
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391 | END SUBROUTINE zgr_z1d |
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392 | |
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393 | !!====================================================================== |
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394 | END MODULE usrdef_zgr |
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