1 | SUBROUTINE ana_m2obc (ng, tile, model)
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2 | !
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3 | !! svn $Id: ana_m2obc.h 216 2008-08-08 18:35:19Z arango $
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4 | !!======================================================================
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5 | !! Copyright (c) 2002-2008 The ROMS/TOMS Group !
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6 | !! Licensed under a MIT/X style license !
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7 | !! See License_ROMS.txt !
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8 | !=======================================================================
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9 | ! !
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10 | ! This routine sets 2D momentum open boundary conditions using !
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11 | ! analytical expressions. !
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12 | ! !
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13 | !=======================================================================
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14 | !
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15 | USE mod_param
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16 | USE mod_grid
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17 | USE mod_ncparam
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18 | USE mod_ocean
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19 | USE mod_stepping
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20 | !
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21 | ! Imported variable declarations.
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22 | !
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23 | integer, intent(in) :: ng, tile, model
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24 |
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25 | #include "tile.h"
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26 | !
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27 | CALL ana_m2obc_tile (ng, tile, model, &
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28 | & LBi, UBi, LBj, UBj, &
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29 | & IminS, ImaxS, JminS, JmaxS, &
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30 | & knew(ng), &
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31 | & GRID(ng) % angler, &
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32 | & GRID(ng) % h, &
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33 | & GRID(ng) % pm, &
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34 | & GRID(ng) % pn, &
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35 | & GRID(ng) % on_u, &
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36 | #ifdef MASKING
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37 | & GRID(ng) % umask, &
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38 | #endif
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39 | & OCEAN(ng) % zeta)
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40 | !
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41 | ! Set analytical header file name used.
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42 | !
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43 | IF (Lanafile) THEN
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44 | ANANAME(12)=__FILE__
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45 | END IF
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46 |
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47 | RETURN
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48 | END SUBROUTINE ana_m2obc
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49 | !
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50 | !***********************************************************************
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51 | SUBROUTINE ana_m2obc_tile (ng, tile, model, &
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52 | & LBi, UBi, LBj, UBj, &
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53 | & IminS, ImaxS, JminS, JmaxS, &
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54 | & knew, &
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55 | & angler, h, pm, pn, on_u, &
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56 | #ifdef MASKING
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57 | & umask, &
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58 | #endif
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59 | & zeta)
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60 | !***********************************************************************
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61 | !
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62 | USE mod_param
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63 | USE mod_boundary
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64 | USE mod_grid
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65 | USE mod_scalars
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66 | !
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67 | ! Imported variable declarations.
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68 | !
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69 | integer, intent(in) :: ng, tile, model
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70 | integer, intent(in) :: LBi, UBi, LBj, UBj
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71 | integer, intent(in) :: IminS, ImaxS, JminS, JmaxS
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72 | integer, intent(in) :: knew
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73 | !
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74 | #ifdef ASSUMED_SHAPE
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75 | real(r8), intent(in) :: angler(LBi:,LBj:)
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76 | real(r8), intent(in) :: h(LBi:,LBj:)
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77 | real(r8), intent(in) :: pm(LBi:,LBj:)
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78 | real(r8), intent(in) :: pn(LBi:,LBj:)
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79 | real(r8), intent(in) :: on_u(LBi:,LBj:)
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80 | # ifdef MASKING
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81 | real(r8), intent(in) :: umask(LBi:,LBj:)
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82 | # endif
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83 | real(r8), intent(in) :: zeta(LBi:,LBj:,:)
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84 | #else
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85 | real(r8), intent(in) :: angler(LBi:UBi,LBj:UBj)
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86 | real(r8), intent(in) :: h(LBi:UBi,LBj:UBj)
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87 | real(r8), intent(in) :: pm(LBi:UBi,LBj:UBj)
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88 | real(r8), intent(in) :: pn(LBi:UBi,LBj:UBj)
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89 | real(r8), intent(in) :: on_u(LBi:UBi,LBj:UBj)
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90 | # ifdef MASKING
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91 | real(r8), intent(in) :: umask(LBi:UBi,LBj:UBj)
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92 | # endif
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93 | real(r8), intent(in) :: zeta(LBi:UBi,LBj:UBj,3)
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94 | #endif
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95 | !
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96 | ! Local variable declarations.
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97 | !
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98 | integer :: i, j
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99 | real(r8) :: angle, cff, fac, major, minor, omega, phase, val
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100 | real(r8) :: ramp
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101 | #if defined ESTUARY_TEST || defined INLET_TEST
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102 | real(r8) :: my_area, my_flux, tid_flow, riv_flow, cff1, cff2, &
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103 | & model_flux
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104 | #endif
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105 | #if defined TEST_CHAN
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106 | real(r8) :: my_area, my_width
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107 | #endif
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108 |
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109 | #include "set_bounds.h"
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110 | !
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111 | !-----------------------------------------------------------------------
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112 | ! 2D momentum open boundary conditions.
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113 | !-----------------------------------------------------------------------
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114 | !
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115 | #if defined ESTUARY_TEST
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116 | cff1=0.40_r8 ! west end
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117 | cff2=0.08_r8
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118 | riv_flow=cff2*300.0_r8*5.0_r8
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119 | tid_flow=cff1*300.0_r8*10.0_r8
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120 | IF (WESTERN_EDGE) THEN
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121 | my_area=0.0_r8
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122 | my_flux=0.0_r8
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123 | DO j=Jstr,Jend
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124 | cff=0.5_r8*(zeta(Istr ,j,knew)+h(Istr ,j)+ &
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125 | & zeta(Istr-1,j,knew)+h(Istr-1,j))/pn(Istr,j)
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126 | my_area=my_area+cff
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127 | END DO
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128 | my_flux=-tid_flow*SIN(2.0_r8*pi*time(ng)/ &
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129 | & (12.0_r8*3600.0_r8))-riv_flow
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130 | DO j=Jstr,Jend
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131 | BOUNDARY(ng)%ubar_west(j)=my_flux/my_area
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132 | BOUNDARY(ng)%vbar_west(j)=0.0_r8
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133 | END DO
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134 | END IF
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135 | cff2=0.08_r8 ! east end
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136 | riv_flow=cff2*300.0_r8*5.0_r8
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137 | IF (EASTERN_EDGE) THEN
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138 | my_area=0.0_r8
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139 | my_flux=0.0_r8
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140 | DO j=Jstr,Jend
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141 | cff=0.5_r8*(zeta(Iend ,j,knew)+h(Iend ,j)+ &
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142 | & zeta(Iend+1,j,knew)+h(Iend+1,j))/pn(Iend,j)
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143 | my_area=my_area+cff
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144 | END DO
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145 | my_flux=-riv_flow
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146 | DO j=Jstr,Jend
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147 | BOUNDARY(ng)%ubar_east(j)=my_flux/my_area
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148 | BOUNDARY(ng)%vbar_east(j)=0.0_r8
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149 | END DO
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150 | END IF
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151 | #elif defined KELVIN
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152 | fac=1.0_r8 ! zeta0
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153 | omega=2.0_r8*pi/(12.42_r8*3600.0_r8) ! M2 Tide period
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154 | val=fac*SIN(omega*time(ng))
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155 | IF (WESTERN_EDGE) THEN
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156 | DO j=JstrR,JendR
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157 | cff=SQRT(g/GRID(ng)%h(Istr-1,j))
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158 | BOUNDARY(ng)%ubar_west(j)=val*cff*EXP(-GRID(ng)%f(Istr-1,j)* &
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159 | & GRID(ng)%yp(Istr-1,j)/ &
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160 | & cff)
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161 | END DO
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162 | DO j=Jstr,JendR
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163 | BOUNDARY(ng)%vbar_west(j)=0.0_r8
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164 | END DO
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165 | END IF
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166 | IF (EASTERN_EDGE) THEN
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167 | DO j=JstrR,JendR
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168 | cff=1.0_r8/SQRT(g*GRID(ng)%h(Iend,j))
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169 | val=fac*EXP(-GRID(ng)%f(Iend,j)*GRID(ng)%yp(Istr-1,j)*cff)
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170 | BOUNDARY(ng)%ubar_east(j)=val*SIN(omega*GRID(ng)%xp(Iend,j)* &
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171 | & cff-omega*time(ng))
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172 | END DO
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173 | DO j=Jstr,JendR
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174 | BOUNDARY(ng)%vbar_east(j)=0.0_r8
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175 | END DO
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176 | END IF
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177 | #elif defined SED_TEST1
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178 | IF (WESTERN_EDGE) THEN
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179 | DO j=JstrR,JendR
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180 | val=0.5_r8*(zeta(Istr-1,j,knew)+h(Istr-1,j)+ &
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181 | & zeta(Istr ,j,knew)+h(Istr ,j))
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182 | BOUNDARY(ng)%ubar_west(j)=-10.0_r8/val
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183 | END DO
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184 | DO j=Jstr,JendR
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185 | BOUNDARY(ng)%vbar_west(j)=0.0_r8
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186 | END DO
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187 | END IF
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188 | IF (EASTERN_EDGE) THEN
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189 | DO j=JstrR,JendR
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190 | val=0.5_r8*(zeta(Iend ,j,knew)+h(Iend ,j)+ &
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191 | & zeta(Iend+1,j,knew)+h(Iend+1,j))
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192 | BOUNDARY(ng)%ubar_east(j)=-10.0_r8/val
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193 | END DO
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194 | DO j=Jstr,JendR
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195 | BOUNDARY(ng)%vbar_east(j)=0.0_r8
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196 | END DO
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197 | END IF
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198 | #elif defined TEST_CHAN
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199 | ramp=MIN(time(ng)/150000.0_r8,1.0_r8)
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200 | IF (WESTERN_EDGE) THEN
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201 | my_area =0.0_r8
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202 | my_width=0.0_r8
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203 | DO j=Jstr,Jend
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204 | my_area=my_area+0.5_r8*(zeta(Istr-1,j,knew)+h(Istr-1,j)+ &
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205 | & zeta(Istr ,j,knew)+h(Istr ,j))* &
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206 | & on_u(Istr,j)
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207 | my_width=my_width+on_u(Istr,j)
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208 | END DO
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209 | fac=my_width*10.0_r8*1.0_r8*ramp !(width depth ubar)
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210 | DO j=Jstr,Jend
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211 | BOUNDARY(ng)%ubar_west(j)=fac/my_area
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212 | END DO
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213 | END IF
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214 | IF (EASTERN_EDGE) THEN
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215 | my_area =0.0_r8
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216 | my_width=0.0_r8
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217 | DO j=Jstr,Jend
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218 | my_area=my_area+0.5_r8*(zeta(Iend+1,j,knew)+h(Iend+1,j)+ &
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219 | & zeta(Iend ,j,knew)+h(Iend ,j))* &
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220 | & on_u(Iend,j)
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221 | my_width=my_width+on_u(Iend,j)
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222 | END DO
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223 | fac=my_width*10.0_r8*1.0_r8*ramp !(width depth ubar)
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224 | DO j=Jstr,Jend
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225 | BOUNDARY(ng)%ubar_east(j)=fac/my_area
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226 | END DO
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227 | END IF
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228 | # elif defined TRENCH
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229 | IF (WESTERN_EDGE) THEN
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230 | my_area=0.0_r8
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231 | my_width=0.0_r8
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232 | DO j=Jstr,Jend
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233 | my_area=my_area+0.5_r8*(zeta(Istr-1,j,knew)+h(Istr-1,j)+ &
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234 | & zeta(Istr ,j,knew)+h(Istr ,j))* &
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235 | & on_u(Istr,j)
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236 | my_width=my_width+on_u(Istr,j)
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237 | END DO
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238 | fac=my_width*0.39_r8*0.51_r8 !(width depth ubar)
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239 | DO j=Jstr,Jend
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240 | BOUNDARY(ng)%ubar_west(j)=fac/my_area
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241 | END DO
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242 | END IF
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243 | IF (EASTERN_EDGE) THEN
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244 | my_area=0.0_r8
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245 | my_width=0.0_r8
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246 | DO j=Jstr,Jend
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247 | my_area=my_area+0.5_r8*(zeta(Iend+1,j,knew)+h(Iend+1,j)+ &
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248 | & zeta(Iend ,j,knew)+h(Iend ,j))* &
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249 | & on_u(Iend,j)
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250 | my_width=my_width+on_u(Iend,j)
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251 | END DO
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252 | fac=my_width*0.39_r8*0.51_r8 !(width depth ubar)
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253 | DO j=Jstr,Jend
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254 | BOUNDARY(ng)%ubar_east(j)=fac/my_area
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255 | END DO
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256 | END IF
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257 | #elif defined WEDDELL
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258 | IF (WESTERN_EDGE) THEN
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259 | fac=TANH((tdays(ng)-dstart)/1.0_r8)
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260 | omega=2.0_r8*pi*time(ng)/(12.42_r8*3600.0_r8) ! M2 Tide period
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261 | minor=0.0143_r8+(0.0143_r8+0.010_r8)/REAL(Iend+1,r8)
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262 | major=0.1144_r8+(0.1144_r8-0.013_r8)/REAL(Iend+1,r8)
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263 | phase=(318.0_r8+(318.0_r8-355.0_r8)/REAL(Iend+1,r8))*deg2rad
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264 | angle=(125.0_r8+(125.0_r8- 25.0_r8)/REAL(Iend+1,r8))*deg2rad
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265 | DO j=JstrR,JendR
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266 | val=0.5_r8*(angler(Istr-1,j)+angler(Istr,j))
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267 | BOUNDARY(ng)%ubar_west(j)=fac*(major*COS(angle-val)* &
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268 | & COS(omega-phase)- &
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269 | & minor*SIN(angle-val)* &
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270 | & SIN(omega-phase))
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271 | END DO
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272 | DO j=Jstr,JendR
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273 | val=0.5_r8*(angler(Istr-1,j-1)+angler(Istr-1,j))
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274 | BOUNDARY(ng)%vbar_west(j)=fac*(major*SIN(angle-val)* &
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275 | & COS(omega-phase)- &
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276 | & minor*SIN(angle-val)* &
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277 | & COS(omega-phase))
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278 | END DO
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279 | END IF
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280 | IF (EASTERN_EDGE) THEN
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281 | fac=TANH((tdays(ng)-dstart)/1.0_r8)
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282 | omega=2.0_r8*pi*time(ng)/(12.42_r8*3600.0_r8) ! M2 Tide period
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283 | minor=0.0143_r8+(0.0143_r8+0.010_r8)
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284 | major=0.1144_r8+(0.1144_r8-0.013_r8)
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285 | phase=(318.0_r8+(318.0_r8-355.0_r8))*deg2rad
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286 | angle=(125.0_r8+(125.0_r8- 25.0_r8))*deg2rad
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287 | DO j=JstrR,JendR
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288 | val=0.5_r8*(angler(Iend,j)+angler(Iend+1,j))
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289 | BOUNDARY(ng)%ubar_east(j)=fac*(major*COS(angle-val)* &
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290 | & COS(omega-phase)- &
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291 | & minor*SIN(angle-val)* &
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292 | & SIN(omega-phase))
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293 | END DO
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294 | DO j=Jstr,JendR
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295 | val=0.5_r8*(angler(Iend+1,j-1)+angler(Iend+1,j))
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296 | BOUNDARY(ng)%vbar_east(j)=fac*(major*SIN(angle-val)* &
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297 | & COS(omega-phase)- &
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298 | & minor*SIN(angle-val)* &
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299 | & COS(omega-phase))
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300 | END DO
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301 | END IF
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302 | #else
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303 | IF (EASTERN_EDGE) THEN
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304 | DO j=JstrR,JendR
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305 | BOUNDARY(ng)%ubar_east(j)=0.0_r8
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306 | END DO
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307 | DO j=Jstr,JendR
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308 | BOUNDARY(ng)%vbar_east(j)=0.0_r8
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309 | END DO
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310 | END IF
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311 | IF (WESTERN_EDGE) THEN
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312 | DO j=JstrR,JendR
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313 | BOUNDARY(ng)%ubar_west(j)=0.0_r8
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314 | END DO
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315 | DO j=Jstr,JendR
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316 | BOUNDARY(ng)%vbar_west(j)=0.0_r8
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317 | END DO
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318 | END IF
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319 | IF (SOUTHERN_EDGE) THEN
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320 | DO i=Istr,IendR
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321 | BOUNDARY(ng)%ubar_south(i)=0.0_r8
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322 | END DO
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323 | DO i=IstrR,IendR
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324 | BOUNDARY(ng)%vbar_south(i)=0.0_r8
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325 | END DO
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326 | END IF
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327 | IF (NORTHERN_EDGE) THEN
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328 | DO i=Istr,IendR
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329 | BOUNDARY(ng)%ubar_north(i)=0.0_r8
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330 | END DO
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331 | DO i=IstrR,IendR
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332 | BOUNDARY(ng)%vbar_north(i)=0.0_r8
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333 | END DO
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334 | END IF
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335 | #endif
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336 | RETURN
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337 | END SUBROUTINE ana_m2obc_tile
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