1 | SUBROUTINE boundary_conds( range ) |
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2 | |
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3 | !------------------------------------------------------------------------------! |
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4 | ! Current revisions: |
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5 | ! ----------------- |
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6 | ! |
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7 | ! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng |
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8 | ! |
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9 | ! |
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10 | ! Removed mirror boundary conditions for u and v at the bottom in case of |
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11 | ! ibc_uv_b == 0. Instead, dirichelt boundary conditions (u=v=0) are set |
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12 | ! in init_3d_model |
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13 | ! |
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14 | ! Former revisions: |
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15 | ! ----------------- |
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16 | ! $Id: boundary_conds.f90 667 2010-12-23 12:06:00Z suehring $ |
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17 | ! |
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18 | ! 107 2007-08-17 13:54:45Z raasch |
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19 | ! Boundary conditions for temperature adjusted for coupled runs, |
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20 | ! bugfixes for the radiation boundary conditions at the outflow: radiation |
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21 | ! conditions are used for every substep, phase speeds are calculated for the |
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22 | ! first Runge-Kutta substep only and then reused, several index values changed |
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23 | ! |
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24 | ! 95 2007-06-02 16:48:38Z raasch |
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25 | ! Boundary conditions for salinity added |
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26 | ! |
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27 | ! 75 2007-03-22 09:54:05Z raasch |
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28 | ! The "main" part sets conditions for time level t+dt instead of level t, |
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29 | ! outflow boundary conditions changed from Neumann to radiation condition, |
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30 | ! uxrp, vynp eliminated, moisture renamed humidity |
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31 | ! |
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32 | ! 19 2007-02-23 04:53:48Z raasch |
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33 | ! Boundary conditions for e(nzt), pt(nzt), and q(nzt) removed because these |
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34 | ! gridpoints are now calculated by the prognostic equation, |
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35 | ! Dirichlet and zero gradient condition for pt established at top boundary |
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36 | ! |
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37 | ! RCS Log replace by Id keyword, revision history cleaned up |
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38 | ! |
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39 | ! Revision 1.15 2006/02/23 09:54:55 raasch |
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40 | ! Surface boundary conditions in case of topography: nzb replaced by |
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41 | ! 2d-k-index-arrays (nzb_w_inner, etc.). Conditions for u and v remain |
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42 | ! unchanged (still using nzb) because a non-flat topography must use a |
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43 | ! Prandtl-layer, which don't requires explicit setting of the surface values. |
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44 | ! |
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45 | ! Revision 1.1 1997/09/12 06:21:34 raasch |
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46 | ! Initial revision |
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47 | ! |
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48 | ! |
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49 | ! Description: |
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50 | ! ------------ |
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51 | ! Boundary conditions for the prognostic quantities (range='main'). |
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52 | ! In case of non-cyclic lateral boundaries the conditions for velocities at |
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53 | ! the outflow are set after the pressure solver has been called (range= |
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54 | ! 'outflow_uvw'). |
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55 | ! One additional bottom boundary condition is applied for the TKE (=(u*)**2) |
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56 | ! in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly |
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57 | ! handled in routine exchange_horiz. Pressure boundary conditions are |
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58 | ! explicitly set in routines pres, poisfft, poismg and sor. |
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59 | !------------------------------------------------------------------------------! |
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60 | |
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61 | USE arrays_3d |
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62 | USE control_parameters |
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63 | USE grid_variables |
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64 | USE indices |
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65 | USE pegrid |
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66 | |
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67 | IMPLICIT NONE |
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68 | |
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69 | CHARACTER (LEN=*) :: range |
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70 | |
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71 | INTEGER :: i, j, k |
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72 | |
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73 | REAL :: c_max, denom |
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74 | |
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75 | |
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76 | IF ( range == 'main') THEN |
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77 | ! |
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78 | !-- Bottom boundary |
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79 | IF ( ibc_uv_b == 1 ) THEN |
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80 | u_p(nzb,:,:) = u_p(nzb+1,:,:) |
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81 | v_p(nzb,:,:) = v_p(nzb+1,:,:) |
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82 | ENDIF |
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83 | DO i = nxlg, nxrg |
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84 | DO j = nysg, nyng |
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85 | w_p(nzb_w_inner(j,i),j,i) = 0.0 |
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86 | ENDDO |
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87 | ENDDO |
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88 | |
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89 | ! |
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90 | !-- Top boundary |
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91 | IF ( ibc_uv_t == 0 ) THEN |
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92 | u_p(nzt+1,:,:) = ug(nzt+1) |
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93 | v_p(nzt+1,:,:) = vg(nzt+1) |
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94 | ELSE |
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95 | u_p(nzt+1,:,:) = u_p(nzt,:,:) |
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96 | v_p(nzt+1,:,:) = v_p(nzt,:,:) |
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97 | ENDIF |
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98 | w_p(nzt:nzt+1,:,:) = 0.0 ! nzt is not a prognostic level (but cf. pres) |
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99 | |
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100 | ! |
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101 | !-- Temperature at bottom boundary. |
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102 | !-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by |
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103 | !-- the sea surface temperature of the coupled ocean model. |
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104 | IF ( ibc_pt_b == 0 ) THEN |
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105 | DO i = nxlg, nxrg |
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106 | DO j = nysg, nyng |
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107 | pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i) |
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108 | ENDDO |
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109 | ENDDO |
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110 | ELSEIF ( ibc_pt_b == 1 ) THEN |
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111 | DO i = nxlg, nxrg |
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112 | DO j = nysg, nyng |
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113 | pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i) |
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114 | ENDDO |
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115 | ENDDO |
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116 | ENDIF |
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117 | |
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118 | ! |
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119 | !-- Temperature at top boundary |
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120 | IF ( ibc_pt_t == 0 ) THEN |
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121 | pt_p(nzt+1,:,:) = pt(nzt+1,:,:) |
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122 | ELSEIF ( ibc_pt_t == 1 ) THEN |
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123 | pt_p(nzt+1,:,:) = pt_p(nzt,:,:) |
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124 | ELSEIF ( ibc_pt_t == 2 ) THEN |
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125 | pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1) |
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126 | ENDIF |
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127 | |
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128 | ! |
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129 | !-- Boundary conditions for TKE |
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130 | !-- Generally Neumann conditions with de/dz=0 are assumed |
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131 | IF ( .NOT. constant_diffusion ) THEN |
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132 | DO i = nxlg, nxrg |
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133 | DO j = nysg, nyng |
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134 | e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i) |
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135 | ENDDO |
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136 | ENDDO |
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137 | e_p(nzt+1,:,:) = e_p(nzt,:,:) |
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138 | ENDIF |
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139 | |
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140 | ! |
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141 | !-- Boundary conditions for salinity |
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142 | IF ( ocean ) THEN |
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143 | ! |
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144 | !-- Bottom boundary: Neumann condition because salinity flux is always |
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145 | !-- given |
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146 | DO i = nxlg, nxrg |
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147 | DO j = nysg, nyng |
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148 | sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i) |
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149 | ENDDO |
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150 | ENDDO |
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151 | |
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152 | ! |
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153 | !-- Top boundary: Dirichlet or Neumann |
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154 | IF ( ibc_sa_t == 0 ) THEN |
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155 | sa_p(nzt+1,:,:) = sa(nzt+1,:,:) |
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156 | ELSEIF ( ibc_sa_t == 1 ) THEN |
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157 | sa_p(nzt+1,:,:) = sa_p(nzt,:,:) |
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158 | ENDIF |
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159 | |
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160 | ENDIF |
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161 | |
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162 | ! |
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163 | !-- Boundary conditions for total water content or scalar, |
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164 | !-- bottom and top boundary (see also temperature) |
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165 | IF ( humidity .OR. passive_scalar ) THEN |
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166 | ! |
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167 | !-- Surface conditions for constant_humidity_flux |
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168 | IF ( ibc_q_b == 0 ) THEN |
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169 | DO i = nxlg, nxrg |
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170 | DO j = nysg, nyng |
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171 | q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i) |
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172 | ENDDO |
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173 | ENDDO |
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174 | ELSE |
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175 | DO i = nxlg, nxrg |
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176 | DO j = nysg, nyng |
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177 | q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i) |
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178 | ENDDO |
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179 | ENDDO |
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180 | ENDIF |
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181 | ! |
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182 | !-- Top boundary |
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183 | q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1) |
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184 | |
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185 | |
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186 | ENDIF |
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187 | |
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188 | ! |
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189 | !-- Lateral boundary conditions at the inflow. Quasi Neumann conditions |
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190 | !-- are needed for the wall normal velocity in order to ensure zero |
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191 | !-- divergence. Dirichlet conditions are used for all other quantities. |
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192 | IF ( inflow_s ) THEN |
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193 | v_p(:,nys,:) = v_p(:,nys-1,:) |
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194 | ELSEIF ( inflow_n ) THEN |
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195 | v_p(:,nyn,:) = v_p(:,nyn+1,:) |
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196 | ELSEIF ( inflow_l ) THEN |
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197 | u_p(:,:,nxl) = u_p(:,:,nxl-1) |
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198 | ELSEIF ( inflow_r ) THEN |
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199 | u_p(:,:,nxr) = u_p(:,:,nxr+1) |
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200 | ENDIF |
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201 | |
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202 | ! |
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203 | !-- Lateral boundary conditions for scalar quantities at the outflow |
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204 | IF ( outflow_s ) THEN |
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205 | pt_p(:,nys-1,:) = pt_p(:,nys,:) |
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206 | IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:) |
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207 | IF ( humidity .OR. passive_scalar ) q_p(:,nys-1,:) = q_p(:,nys,:) |
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208 | ELSEIF ( outflow_n ) THEN |
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209 | pt_p(:,nyn+1,:) = pt_p(:,nyn,:) |
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210 | IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:) |
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211 | IF ( humidity .OR. passive_scalar ) q_p(:,nyn+1,:) = q_p(:,nyn,:) |
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212 | ELSEIF ( outflow_l ) THEN |
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213 | pt_p(:,:,nxl-1) = pt_p(:,:,nxl) |
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214 | IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl) |
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215 | IF ( humidity .OR. passive_scalar ) q_p(:,:,nxl-1) = q_p(:,:,nxl) |
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216 | ELSEIF ( outflow_r ) THEN |
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217 | pt_p(:,:,nxr+1) = pt_p(:,:,nxr) |
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218 | IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr) |
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219 | IF ( humidity .OR. passive_scalar ) q_p(:,:,nxr+1) = q_p(:,:,nxr) |
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220 | ENDIF |
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221 | |
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222 | ENDIF |
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223 | |
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224 | ! |
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225 | !-- Radiation boundary condition for the velocities at the respective outflow |
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226 | IF ( outflow_s ) THEN |
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227 | |
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228 | c_max = dy / dt_3d |
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229 | |
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230 | DO i = nxlg, nxrg |
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231 | DO k = nzb+1, nzt+1 |
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232 | |
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233 | ! |
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234 | !-- Calculate the phase speeds for u,v, and w. In case of using a |
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235 | !-- Runge-Kutta scheme, do this for the first substep only and then |
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236 | !-- reuse this values for the further substeps. |
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237 | IF ( intermediate_timestep_count == 1 ) THEN |
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238 | |
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239 | denom = u_m_s(k,0,i) - u_m_s(k,1,i) |
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240 | |
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241 | IF ( denom /= 0.0 ) THEN |
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242 | c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / denom |
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243 | IF ( c_u(k,i) < 0.0 ) THEN |
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244 | c_u(k,i) = 0.0 |
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245 | ELSEIF ( c_u(k,i) > c_max ) THEN |
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246 | c_u(k,i) = c_max |
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247 | ENDIF |
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248 | ELSE |
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249 | c_u(k,i) = c_max |
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250 | ENDIF |
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251 | |
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252 | denom = v_m_s(k,1,i) - v_m_s(k,2,i) |
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253 | |
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254 | IF ( denom /= 0.0 ) THEN |
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255 | c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / denom |
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256 | IF ( c_v(k,i) < 0.0 ) THEN |
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257 | c_v(k,i) = 0.0 |
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258 | ELSEIF ( c_v(k,i) > c_max ) THEN |
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259 | c_v(k,i) = c_max |
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260 | ENDIF |
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261 | ELSE |
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262 | c_v(k,i) = c_max |
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263 | ENDIF |
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264 | |
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265 | denom = w_m_s(k,0,i) - w_m_s(k,1,i) |
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266 | |
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267 | IF ( denom /= 0.0 ) THEN |
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268 | c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / denom |
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269 | IF ( c_w(k,i) < 0.0 ) THEN |
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270 | c_w(k,i) = 0.0 |
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271 | ELSEIF ( c_w(k,i) > c_max ) THEN |
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272 | c_w(k,i) = c_max |
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273 | ENDIF |
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274 | ELSE |
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275 | c_w(k,i) = c_max |
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276 | ENDIF |
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277 | |
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278 | ! |
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279 | !-- Save old timelevels for the next timestep |
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280 | u_m_s(k,:,i) = u(k,0:1,i) |
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281 | v_m_s(k,:,i) = v(k,1:2,i) |
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282 | w_m_s(k,:,i) = w(k,0:1,i) |
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283 | |
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284 | ENDIF |
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285 | |
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286 | ! |
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287 | !-- Calculate the new velocities |
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288 | u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u(k,i) * & |
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289 | ( u(k,-1,i) - u(k,0,i) ) * ddy |
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290 | |
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291 | v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v(k,i) * & |
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292 | ( v(k,0,i) - v(k,1,i) ) * ddy |
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293 | |
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294 | w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w(k,i) * & |
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295 | ( w(k,-1,i) - w(k,0,i) ) * ddy |
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296 | |
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297 | ENDDO |
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298 | ENDDO |
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299 | |
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300 | ! |
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301 | !-- Bottom boundary at the outflow |
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302 | IF ( ibc_uv_b == 0 ) THEN |
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303 | u_p(nzb,-1,:) = 0.0 |
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304 | v_p(nzb,0,:) = 0.0 |
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305 | ELSE |
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306 | u_p(nzb,-1,:) = u_p(nzb+1,-1,:) |
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307 | v_p(nzb,0,:) = v_p(nzb+1,0,:) |
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308 | ENDIF |
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309 | w_p(nzb,-1,:) = 0.0 |
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310 | |
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311 | ! |
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312 | !-- Top boundary at the outflow |
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313 | IF ( ibc_uv_t == 0 ) THEN |
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314 | u_p(nzt+1,-1,:) = ug(nzt+1) |
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315 | v_p(nzt+1,0,:) = vg(nzt+1) |
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316 | ELSE |
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317 | u_p(nzt+1,-1,:) = u(nzt,-1,:) |
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318 | v_p(nzt+1,0,:) = v(nzt,0,:) |
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319 | ENDIF |
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320 | w_p(nzt:nzt+1,-1,:) = 0.0 |
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321 | |
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322 | ENDIF |
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323 | |
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324 | IF ( outflow_n ) THEN |
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325 | |
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326 | c_max = dy / dt_3d |
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327 | |
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328 | DO i = nxlg, nxrg |
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329 | DO k = nzb+1, nzt+1 |
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330 | |
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331 | ! |
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332 | !-- Calculate the phase speeds for u,v, and w. In case of using a |
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333 | !-- Runge-Kutta scheme, do this for the first substep only and then |
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334 | !-- reuse this values for the further substeps. |
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335 | IF ( intermediate_timestep_count == 1 ) THEN |
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336 | |
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337 | denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i) |
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338 | |
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339 | IF ( denom /= 0.0 ) THEN |
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340 | c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / denom |
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341 | IF ( c_u(k,i) < 0.0 ) THEN |
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342 | c_u(k,i) = 0.0 |
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343 | ELSEIF ( c_u(k,i) > c_max ) THEN |
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344 | c_u(k,i) = c_max |
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345 | ENDIF |
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346 | ELSE |
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347 | c_u(k,i) = c_max |
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348 | ENDIF |
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349 | |
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350 | denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i) |
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351 | |
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352 | IF ( denom /= 0.0 ) THEN |
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353 | c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / denom |
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354 | IF ( c_v(k,i) < 0.0 ) THEN |
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355 | c_v(k,i) = 0.0 |
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356 | ELSEIF ( c_v(k,i) > c_max ) THEN |
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357 | c_v(k,i) = c_max |
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358 | ENDIF |
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359 | ELSE |
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360 | c_v(k,i) = c_max |
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361 | ENDIF |
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362 | |
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363 | denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i) |
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364 | |
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365 | IF ( denom /= 0.0 ) THEN |
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366 | c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / denom |
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367 | IF ( c_w(k,i) < 0.0 ) THEN |
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368 | c_w(k,i) = 0.0 |
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369 | ELSEIF ( c_w(k,i) > c_max ) THEN |
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370 | c_w(k,i) = c_max |
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371 | ENDIF |
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372 | ELSE |
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373 | c_w(k,i) = c_max |
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374 | ENDIF |
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375 | |
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376 | ! |
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377 | !-- Swap timelevels for the next timestep |
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378 | u_m_n(k,:,i) = u(k,ny-1:ny,i) |
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379 | v_m_n(k,:,i) = v(k,ny-1:ny,i) |
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380 | w_m_n(k,:,i) = w(k,ny-1:ny,i) |
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381 | |
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382 | ENDIF |
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383 | |
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384 | ! |
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385 | !-- Calculate the new velocities |
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386 | u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u(k,i) * & |
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387 | ( u(k,ny+1,i) - u(k,ny,i) ) * ddy |
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388 | |
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389 | v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v(k,i) * & |
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390 | ( v(k,ny+1,i) - v(k,ny,i) ) * ddy |
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391 | |
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392 | w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w(k,i) * & |
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393 | ( w(k,ny+1,i) - w(k,ny,i) ) * ddy |
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394 | |
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395 | ENDDO |
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396 | ENDDO |
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397 | |
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398 | ! |
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399 | !-- Bottom boundary at the outflow |
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400 | IF ( ibc_uv_b == 0 ) THEN |
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401 | u_p(nzb,ny+1,:) = 0.0 |
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402 | v_p(nzb,ny+1,:) = 0.0 |
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403 | ELSE |
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404 | u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:) |
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405 | v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:) |
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406 | ENDIF |
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407 | w_p(nzb,ny+1,:) = 0.0 |
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408 | |
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409 | ! |
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410 | !-- Top boundary at the outflow |
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411 | IF ( ibc_uv_t == 0 ) THEN |
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412 | u_p(nzt+1,ny+1,:) = ug(nzt+1) |
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413 | v_p(nzt+1,ny+1,:) = vg(nzt+1) |
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414 | ELSE |
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415 | u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:) |
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416 | v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:) |
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417 | ENDIF |
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418 | w_p(nzt:nzt+1,ny+1,:) = 0.0 |
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419 | |
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420 | ENDIF |
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421 | |
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422 | IF ( outflow_l ) THEN |
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423 | |
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424 | c_max = dx / dt_3d |
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425 | |
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426 | DO j = nysg, nyng |
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427 | DO k = nzb+1, nzt+1 |
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428 | |
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429 | ! |
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430 | !-- Calculate the phase speeds for u,v, and w. In case of using a |
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431 | !-- Runge-Kutta scheme, do this for the first substep only and then |
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432 | !-- reuse this values for the further substeps. |
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433 | IF ( intermediate_timestep_count == 1 ) THEN |
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434 | |
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435 | denom = u_m_l(k,j,1) - u_m_l(k,j,2) |
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436 | |
---|
437 | IF ( denom /= 0.0 ) THEN |
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438 | c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / denom |
---|
439 | IF ( c_u(k,j) < 0.0 ) THEN |
---|
440 | c_u(k,j) = 0.0 |
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441 | ELSEIF ( c_u(k,j) > c_max ) THEN |
---|
442 | c_u(k,j) = c_max |
---|
443 | ENDIF |
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444 | ELSE |
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445 | c_u(k,j) = c_max |
---|
446 | ENDIF |
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447 | |
---|
448 | denom = v_m_l(k,j,0) - v_m_l(k,j,1) |
---|
449 | |
---|
450 | IF ( denom /= 0.0 ) THEN |
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451 | c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / denom |
---|
452 | IF ( c_v(k,j) < 0.0 ) THEN |
---|
453 | c_v(k,j) = 0.0 |
---|
454 | ELSEIF ( c_v(k,j) > c_max ) THEN |
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455 | c_v(k,j) = c_max |
---|
456 | ENDIF |
---|
457 | ELSE |
---|
458 | c_v(k,j) = c_max |
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459 | ENDIF |
---|
460 | |
---|
461 | denom = w_m_l(k,j,0) - w_m_l(k,j,1) |
---|
462 | |
---|
463 | IF ( denom /= 0.0 ) THEN |
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464 | c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / denom |
---|
465 | IF ( c_w(k,j) < 0.0 ) THEN |
---|
466 | c_w(k,j) = 0.0 |
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467 | ELSEIF ( c_w(k,j) > c_max ) THEN |
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468 | c_w(k,j) = c_max |
---|
469 | ENDIF |
---|
470 | ELSE |
---|
471 | c_w(k,j) = c_max |
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472 | ENDIF |
---|
473 | |
---|
474 | ! |
---|
475 | !-- Swap timelevels for the next timestep |
---|
476 | u_m_l(k,j,:) = u(k,j,1:2) |
---|
477 | v_m_l(k,j,:) = v(k,j,0:1) |
---|
478 | w_m_l(k,j,:) = w(k,j,0:1) |
---|
479 | |
---|
480 | ENDIF |
---|
481 | |
---|
482 | ! |
---|
483 | !-- Calculate the new velocities |
---|
484 | u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u(k,j) * & |
---|
485 | ( u(k,j,0) - u(k,j,1) ) * ddx |
---|
486 | |
---|
487 | v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v(k,j) * & |
---|
488 | ( v(k,j,-1) - v(k,j,0) ) * ddx |
---|
489 | |
---|
490 | w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w(k,j) * & |
---|
491 | ( w(k,j,-1) - w(k,j,0) ) * ddx |
---|
492 | |
---|
493 | ENDDO |
---|
494 | ENDDO |
---|
495 | |
---|
496 | ! |
---|
497 | !-- Bottom boundary at the outflow |
---|
498 | IF ( ibc_uv_b == 0 ) THEN |
---|
499 | u_p(nzb,:,0) = 0.0 |
---|
500 | v_p(nzb,:,-1) = 0.0 |
---|
501 | ELSE |
---|
502 | u_p(nzb,:,0) = u_p(nzb+1,:,0) |
---|
503 | v_p(nzb,:,-1) = v_p(nzb+1,:,-1) |
---|
504 | ENDIF |
---|
505 | w_p(nzb,:,-1) = 0.0 |
---|
506 | |
---|
507 | ! |
---|
508 | !-- Top boundary at the outflow |
---|
509 | IF ( ibc_uv_t == 0 ) THEN |
---|
510 | u_p(nzt+1,:,-1) = ug(nzt+1) |
---|
511 | v_p(nzt+1,:,-1) = vg(nzt+1) |
---|
512 | ELSE |
---|
513 | u_p(nzt+1,:,-1) = u_p(nzt,:,-1) |
---|
514 | v_p(nzt+1,:,-1) = v_p(nzt,:,-1) |
---|
515 | ENDIF |
---|
516 | w_p(nzt:nzt+1,:,-1) = 0.0 |
---|
517 | |
---|
518 | ENDIF |
---|
519 | |
---|
520 | IF ( outflow_r ) THEN |
---|
521 | |
---|
522 | c_max = dx / dt_3d |
---|
523 | |
---|
524 | DO j = nysg, nyng |
---|
525 | DO k = nzb+1, nzt+1 |
---|
526 | |
---|
527 | ! |
---|
528 | !-- Calculate the phase speeds for u,v, and w. In case of using a |
---|
529 | !-- Runge-Kutta scheme, do this for the first substep only and then |
---|
530 | !-- reuse this values for the further substeps. |
---|
531 | IF ( intermediate_timestep_count == 1 ) THEN |
---|
532 | |
---|
533 | denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1) |
---|
534 | |
---|
535 | IF ( denom /= 0.0 ) THEN |
---|
536 | c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / denom |
---|
537 | IF ( c_u(k,j) < 0.0 ) THEN |
---|
538 | c_u(k,j) = 0.0 |
---|
539 | ELSEIF ( c_u(k,j) > c_max ) THEN |
---|
540 | c_u(k,j) = c_max |
---|
541 | ENDIF |
---|
542 | ELSE |
---|
543 | c_u(k,j) = c_max |
---|
544 | ENDIF |
---|
545 | |
---|
546 | denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1) |
---|
547 | |
---|
548 | IF ( denom /= 0.0 ) THEN |
---|
549 | c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / denom |
---|
550 | IF ( c_v(k,j) < 0.0 ) THEN |
---|
551 | c_v(k,j) = 0.0 |
---|
552 | ELSEIF ( c_v(k,j) > c_max ) THEN |
---|
553 | c_v(k,j) = c_max |
---|
554 | ENDIF |
---|
555 | ELSE |
---|
556 | c_v(k,j) = c_max |
---|
557 | ENDIF |
---|
558 | |
---|
559 | denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1) |
---|
560 | |
---|
561 | IF ( denom /= 0.0 ) THEN |
---|
562 | c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / denom |
---|
563 | IF ( c_w(k,j) < 0.0 ) THEN |
---|
564 | c_w(k,j) = 0.0 |
---|
565 | ELSEIF ( c_w(k,j) > c_max ) THEN |
---|
566 | c_w(k,j) = c_max |
---|
567 | ENDIF |
---|
568 | ELSE |
---|
569 | c_w(k,j) = c_max |
---|
570 | ENDIF |
---|
571 | |
---|
572 | ! |
---|
573 | !-- Swap timelevels for the next timestep |
---|
574 | u_m_r(k,j,:) = u(k,j,nx-1:nx) |
---|
575 | v_m_r(k,j,:) = v(k,j,nx-1:nx) |
---|
576 | w_m_r(k,j,:) = w(k,j,nx-1:nx) |
---|
577 | |
---|
578 | ENDIF |
---|
579 | |
---|
580 | ! |
---|
581 | !-- Calculate the new velocities |
---|
582 | u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u(k,j) * & |
---|
583 | ( u(k,j,nx+1) - u(k,j,nx) ) * ddx |
---|
584 | |
---|
585 | v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v(k,j) * & |
---|
586 | ( v(k,j,nx+1) - v(k,j,nx) ) * ddx |
---|
587 | |
---|
588 | w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w(k,j) * & |
---|
589 | ( w(k,j,nx+1) - w(k,j,nx) ) * ddx |
---|
590 | |
---|
591 | ENDDO |
---|
592 | ENDDO |
---|
593 | |
---|
594 | ! |
---|
595 | !-- Bottom boundary at the outflow |
---|
596 | IF ( ibc_uv_b == 0 ) THEN |
---|
597 | u_p(nzb,:,nx+1) = 0.0 |
---|
598 | v_p(nzb,:,nx+1) = 0.0 |
---|
599 | ELSE |
---|
600 | u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1) |
---|
601 | v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1) |
---|
602 | ENDIF |
---|
603 | w_p(nzb,:,nx+1) = 0.0 |
---|
604 | |
---|
605 | ! |
---|
606 | !-- Top boundary at the outflow |
---|
607 | IF ( ibc_uv_t == 0 ) THEN |
---|
608 | u_p(nzt+1,:,nx+1) = ug(nzt+1) |
---|
609 | v_p(nzt+1,:,nx+1) = vg(nzt+1) |
---|
610 | ELSE |
---|
611 | u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1) |
---|
612 | v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1) |
---|
613 | ENDIF |
---|
614 | w(nzt:nzt+1,:,nx+1) = 0.0 |
---|
615 | |
---|
616 | ENDIF |
---|
617 | |
---|
618 | |
---|
619 | END SUBROUTINE boundary_conds |
---|