1 | MODULE advec_ws |
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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 | ! Bugfix concerning OpenMP parallelization. Summation of sums_wsus_ws_l, |
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7 | ! sums_wsvs_ws_l, sums_us2_ws_l, sums_vs2_ws_l, sums_ws2_ws_l, sums_wspts_ws_l, |
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8 | ! sums_wsqs_ws_l, sums_wssas_ws_l is now thread-safe by adding an additional |
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9 | ! dimension. |
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10 | ! |
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11 | ! Former revisions: |
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12 | ! ----------------- |
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13 | ! $Id: advec_ws.f90 801 2012-01-10 17:30:36Z suehring $ |
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14 | ! |
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15 | ! 743 2011-08-18 16:10:16Z suehring |
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16 | ! Evaluation of turbulent fluxes with WS-scheme only for the whole model |
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17 | ! domain. Therefor dimension of arrays needed for statistical evaluation |
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18 | ! decreased. |
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19 | ! |
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20 | ! 736 2011-08-17 14:13:26Z suehring |
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21 | ! Bugfix concerning OpenMP parallelization. i_omp introduced, because first |
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22 | ! index where fluxes on left side have to be calculated explicitly is |
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23 | ! different on each thread. Furthermore the swapping of fluxes is now |
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24 | ! thread-safe by adding an additional dimension. |
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25 | ! |
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26 | ! 713 2011-03-30 14:21:21Z suehring |
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27 | ! File reformatted. |
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28 | ! Bugfix in vertical advection of w concerning the optimized version for |
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29 | ! vector architecture. |
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30 | ! Constants adv_mom_3, adv_mom_5, adv_sca_5, adv_sca_3 reformulated as |
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31 | ! broken numbers. |
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32 | ! |
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33 | ! 709 2011-03-30 09:31:40Z raasch |
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34 | ! formatting adjustments |
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35 | ! |
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36 | ! 705 2011-03-25 11:21:43 Z suehring $ |
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37 | ! Bugfix in declaration of logicals concerning outflow boundaries. |
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38 | ! |
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39 | ! 411 2009-12-11 12:31:43 Z suehring |
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40 | ! Allocation of weight_substep moved to init_3d_model. |
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41 | ! Declaration of ws_scheme_sca and ws_scheme_mom moved to check_parameters. |
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42 | ! Setting bc for the horizontal velocity variances added (moved from |
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43 | ! flow_statistics). |
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44 | ! |
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45 | ! Initial revision |
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46 | ! |
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47 | ! 411 2009-12-11 12:31:43 Z suehring |
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48 | ! |
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49 | ! Description: |
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50 | ! ------------ |
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51 | ! Advection scheme for scalars and momentum using the flux formulation of |
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52 | ! Wicker and Skamarock 5th order. Additionally the module contains of a |
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53 | ! routine using for initialisation and steering of the statical evaluation. |
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54 | ! The computation of turbulent fluxes takes place inside the advection |
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55 | ! routines. |
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56 | ! In case of vector architectures Dirichlet and Radiation boundary conditions |
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57 | ! are outstanding and not available. |
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58 | ! A further routine local_diss_ij is available (next weeks) and is used if a |
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59 | ! control of dissipative fluxes is desired. |
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60 | ! |
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61 | ! OUTSTANDING: - Dirichlet and Radiation boundary conditions for |
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62 | ! vector architectures |
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63 | ! - dissipation control for cache architectures ( next weeks ) |
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64 | ! - Topography ( next weeks ) |
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65 | !-----------------------------------------------------------------------------! |
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66 | |
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67 | PRIVATE |
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68 | PUBLIC advec_s_ws, advec_u_ws, advec_v_ws, advec_w_ws, & |
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69 | local_diss, ws_init, ws_statistics |
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70 | |
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71 | INTERFACE ws_init |
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72 | MODULE PROCEDURE ws_init |
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73 | END INTERFACE ws_init |
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74 | |
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75 | INTERFACE ws_statistics |
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76 | MODULE PROCEDURE ws_statistics |
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77 | END INTERFACE ws_statistics |
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78 | |
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79 | INTERFACE advec_s_ws |
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80 | MODULE PROCEDURE advec_s_ws |
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81 | MODULE PROCEDURE advec_s_ws_ij |
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82 | END INTERFACE advec_s_ws |
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83 | |
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84 | INTERFACE advec_u_ws |
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85 | MODULE PROCEDURE advec_u_ws |
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86 | MODULE PROCEDURE advec_u_ws_ij |
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87 | END INTERFACE advec_u_ws |
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88 | |
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89 | INTERFACE advec_v_ws |
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90 | MODULE PROCEDURE advec_v_ws |
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91 | MODULE PROCEDURE advec_v_ws_ij |
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92 | END INTERFACE advec_v_ws |
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93 | |
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94 | INTERFACE advec_w_ws |
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95 | MODULE PROCEDURE advec_w_ws |
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96 | MODULE PROCEDURE advec_w_ws_ij |
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97 | END INTERFACE advec_w_ws |
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98 | |
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99 | INTERFACE local_diss |
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100 | MODULE PROCEDURE local_diss |
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101 | MODULE PROCEDURE local_diss_ij |
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102 | END INTERFACE local_diss |
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103 | |
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104 | CONTAINS |
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105 | |
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106 | |
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107 | !------------------------------------------------------------------------------! |
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108 | ! Initialization of WS-scheme |
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109 | !------------------------------------------------------------------------------! |
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110 | SUBROUTINE ws_init |
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111 | |
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112 | USE arrays_3d |
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113 | USE constants |
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114 | USE control_parameters |
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115 | USE indices |
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116 | USE pegrid |
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117 | USE statistics |
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118 | |
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119 | ! |
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120 | !-- Allocate arrays needed for dissipation control. |
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121 | IF ( dissipation_control ) THEN |
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122 | ! ALLOCATE(var_x(nzb+1:nzt,nys:nyn,nxl:nxr), & |
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123 | ! var_y(nzb+1:nzt,nys:nyn,nxl:nxr), & |
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124 | ! var_z(nzb+1:nzt,nys:nyn,nxl:nxr), & |
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125 | ! gamma_x(nzb:nzt+1,nysg:nyng,nxlg:nxrg), & |
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126 | ! gamma_y(nzb:nzt+1,nysg:nyng,nxlg:nxrg), & |
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127 | ! gamma_z(nzb:nzt+1,nysg:nyng,nxlg:nxrg)) |
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128 | ENDIF |
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129 | |
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130 | ! |
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131 | !-- Set the appropriate factors for scalar and momentum advection. |
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132 | adv_sca_5 = 1./60. |
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133 | adv_sca_3 = 1./12. |
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134 | adv_mom_5 = 1./120. |
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135 | adv_mom_3 = 1./24. |
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136 | |
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137 | ! |
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138 | !-- Arrays needed for statical evaluation of fluxes. |
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139 | IF ( ws_scheme_mom ) THEN |
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140 | |
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141 | ALLOCATE( sums_wsus_ws_l(nzb:nzt+1,0:threads_per_task-1), & |
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142 | sums_wsvs_ws_l(nzb:nzt+1,0:threads_per_task-1), & |
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143 | sums_us2_ws_l(nzb:nzt+1,0:threads_per_task-1), & |
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144 | sums_vs2_ws_l(nzb:nzt+1,0:threads_per_task-1), & |
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145 | sums_ws2_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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146 | |
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147 | sums_wsus_ws_l = 0.0 |
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148 | sums_wsvs_ws_l = 0.0 |
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149 | sums_us2_ws_l = 0.0 |
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150 | sums_vs2_ws_l = 0.0 |
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151 | sums_ws2_ws_l = 0.0 |
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152 | |
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153 | ENDIF |
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154 | |
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155 | IF ( ws_scheme_sca ) THEN |
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156 | |
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157 | ALLOCATE( sums_wspts_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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158 | sums_wspts_ws_l = 0.0 |
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159 | |
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160 | IF ( humidity .OR. passive_scalar ) THEN |
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161 | ALLOCATE( sums_wsqs_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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162 | sums_wsqs_ws_l = 0.0 |
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163 | ENDIF |
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164 | |
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165 | IF ( ocean ) THEN |
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166 | ALLOCATE( sums_wssas_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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167 | sums_wssas_ws_l = 0.0 |
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168 | ENDIF |
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169 | |
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170 | ENDIF |
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171 | |
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172 | ! |
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173 | !-- Arrays needed for reasons of speed optimization for cache and noopt |
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174 | !-- version. For the vector version the buffer arrays are not necessary, |
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175 | !-- because the the fluxes can swapped directly inside the loops of the |
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176 | !-- advection routines. |
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177 | IF ( loop_optimization /= 'vector' ) THEN |
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178 | |
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179 | IF ( ws_scheme_mom ) THEN |
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180 | |
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181 | ALLOCATE( flux_s_u(nzb+1:nzt,0:threads_per_task-1), & |
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182 | flux_s_v(nzb+1:nzt,0:threads_per_task-1), & |
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183 | flux_s_w(nzb+1:nzt,0:threads_per_task-1), & |
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184 | diss_s_u(nzb+1:nzt,0:threads_per_task-1), & |
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185 | diss_s_v(nzb+1:nzt,0:threads_per_task-1), & |
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186 | diss_s_w(nzb+1:nzt,0:threads_per_task-1) ) |
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187 | ALLOCATE( flux_l_u(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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188 | flux_l_v(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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189 | flux_l_w(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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190 | diss_l_u(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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191 | diss_l_v(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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192 | diss_l_w(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
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193 | |
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194 | ENDIF |
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195 | |
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196 | IF ( ws_scheme_sca ) THEN |
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197 | |
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198 | ALLOCATE( flux_s_pt(nzb+1:nzt,0:threads_per_task-1), & |
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199 | flux_s_e(nzb+1:nzt,0:threads_per_task-1), & |
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200 | diss_s_pt(nzb+1:nzt,0:threads_per_task-1), & |
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201 | diss_s_e(nzb+1:nzt,0:threads_per_task-1) ) |
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202 | ALLOCATE( flux_l_pt(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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203 | flux_l_e(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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204 | diss_l_pt(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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205 | diss_l_e(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
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206 | |
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207 | IF ( humidity .OR. passive_scalar ) THEN |
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208 | ALLOCATE( flux_s_q(nzb+1:nzt,0:threads_per_task-1), & |
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209 | diss_s_q(nzb+1:nzt,0:threads_per_task-1) ) |
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210 | ALLOCATE( flux_l_q(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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211 | diss_l_q(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
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212 | ENDIF |
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213 | |
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214 | IF ( ocean ) THEN |
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215 | ALLOCATE( flux_s_sa(nzb+1:nzt,0:threads_per_task-1), & |
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216 | diss_s_sa(nzb+1:nzt,0:threads_per_task-1) ) |
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217 | ALLOCATE( flux_l_sa(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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218 | diss_l_sa(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
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219 | ENDIF |
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220 | |
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221 | ENDIF |
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222 | |
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223 | ENDIF |
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224 | |
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225 | ! |
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226 | !-- Determine the flags where the order of the scheme for horizontal |
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227 | !-- advection has to be degraded. |
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228 | ALLOCATE( boundary_flags(nys:nyn,nxl:nxr) ) |
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229 | DO i = nxl, nxr |
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230 | DO j = nys, nyn |
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231 | |
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232 | boundary_flags(j,i) = 0 |
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233 | IF ( outflow_l ) THEN |
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234 | IF ( i == nxlu ) boundary_flags(j,i) = 5 |
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235 | IF ( i == nxl ) boundary_flags(j,i) = 6 |
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236 | ELSEIF ( outflow_r ) THEN |
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237 | IF ( i == nxr-1 ) boundary_flags(j,i) = 1 |
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238 | IF ( i == nxr ) boundary_flags(j,i) = 2 |
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239 | ELSEIF ( outflow_n ) THEN |
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240 | IF ( j == nyn-1 ) boundary_flags(j,i) = 3 |
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241 | IF ( j == nyn ) boundary_flags(j,i) = 4 |
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242 | ELSEIF ( outflow_s ) THEN |
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243 | IF ( j == nysv ) boundary_flags(j,i) = 7 |
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244 | IF ( j == nys ) boundary_flags(j,i) = 8 |
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245 | ENDIF |
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246 | |
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247 | ENDDO |
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248 | ENDDO |
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249 | |
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250 | END SUBROUTINE ws_init |
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251 | |
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252 | |
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253 | !------------------------------------------------------------------------------! |
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254 | ! Initialize variables used for storing statistic qauntities (fluxes, variances) |
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255 | !------------------------------------------------------------------------------! |
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256 | SUBROUTINE ws_statistics |
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257 | |
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258 | USE control_parameters |
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259 | USE statistics |
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260 | |
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261 | IMPLICIT NONE |
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262 | |
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263 | ! |
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264 | !-- The arrays needed for statistical evaluation are set to to 0 at the |
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265 | !-- begin of prognostic_equations. |
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266 | IF ( ws_scheme_mom ) THEN |
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267 | sums_wsus_ws_l = 0.0 |
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268 | sums_wsvs_ws_l = 0.0 |
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269 | sums_us2_ws_l = 0.0 |
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270 | sums_vs2_ws_l = 0.0 |
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271 | sums_ws2_ws_l = 0.0 |
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272 | ENDIF |
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273 | |
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274 | IF ( ws_scheme_sca ) THEN |
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275 | sums_wspts_ws_l = 0.0 |
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276 | IF ( humidity .OR. passive_scalar ) sums_wsqs_ws_l = 0.0 |
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277 | IF ( ocean ) sums_wssas_ws_l = 0.0 |
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278 | |
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279 | ENDIF |
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280 | |
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281 | END SUBROUTINE ws_statistics |
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282 | |
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283 | |
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284 | !------------------------------------------------------------------------------! |
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285 | ! Scalar advection - Call for grid point i,j |
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286 | !------------------------------------------------------------------------------! |
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287 | SUBROUTINE advec_s_ws_ij( i, j, sk, sk_char,swap_flux_y_local, & |
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288 | swap_diss_y_local, swap_flux_x_local, & |
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289 | swap_diss_x_local, i_omp, tn ) |
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290 | |
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291 | USE arrays_3d |
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292 | USE constants |
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293 | USE control_parameters |
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294 | USE grid_variables |
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295 | USE indices |
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296 | USE pegrid |
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297 | USE statistics |
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298 | |
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299 | IMPLICIT NONE |
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300 | |
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301 | INTEGER :: i, i_omp, j, k, tn |
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302 | LOGICAL :: degraded_l, degraded_s |
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303 | REAL :: flux_d, diss_d, u_comp, v_comp |
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304 | REAL, DIMENSION(:,:,:), POINTER :: sk |
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305 | REAL, DIMENSION(nzb:nzt+1) :: flux_t, diss_t, flux_r, diss_r, & |
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306 | flux_n, diss_n |
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307 | REAL, DIMENSION(nzb+1:nzt,0:threads_per_task-1) :: swap_flux_y_local, & |
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308 | swap_diss_y_local |
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309 | REAL, DIMENSION(nzb+1:nzt,nys:nyn,0:threads_per_task-1) :: & |
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310 | swap_flux_x_local, & |
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311 | swap_diss_x_local |
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312 | CHARACTER (LEN = *), INTENT(IN) :: sk_char |
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313 | |
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314 | |
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315 | degraded_l = .FALSE. |
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316 | degraded_s = .FALSE. |
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317 | |
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318 | IF ( boundary_flags(j,i) /= 0 ) THEN |
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319 | ! |
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320 | !-- Degrade the order for Dirichlet bc. at the outflow boundary |
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321 | SELECT CASE ( boundary_flags(j,i) ) |
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322 | |
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323 | CASE ( 1 ) |
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324 | |
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325 | DO k = nzb_s_inner(j,i)+1, nzt |
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326 | u_comp = u(k,j,i+1) - u_gtrans |
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327 | flux_r(k) = u_comp * ( & |
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328 | 7.0 * ( sk(k,j,i+1) + sk(k,j,i) ) & |
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329 | - ( sk(k,j,i+2) + sk(k,j,i-1) ) ) * adv_sca_3 |
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330 | diss_r(k) = -ABS( u_comp ) * ( & |
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331 | 3.0 * ( sk(k,j,i+1) - sk(k,j,i) ) & |
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332 | - ( sk(k,j,i+2) - sk(k,j,i-1) ) ) * adv_sca_3 |
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333 | ENDDO |
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334 | |
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335 | CASE ( 2 ) |
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336 | |
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337 | DO k = nzb_s_inner(j,i)+1, nzt |
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338 | u_comp = u(k,j,i+1) - u_gtrans |
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339 | flux_r(k) = u_comp * ( sk(k,j,i+1) + sk(k,j,i) ) * 0.5 |
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340 | diss_r(k) = diss_2nd( sk(k,j,i+1), sk(k,j,i+1), sk(k,j,i), & |
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341 | sk(k,j,i-1), sk(k,j,i-2), u_comp, & |
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342 | 0.5, ddx ) |
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343 | ENDDO |
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344 | |
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345 | CASE ( 3 ) |
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346 | |
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347 | DO k = nzb_s_inner(j,i)+1, nzt |
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348 | v_comp = v(k,j+1,i) - v_gtrans |
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349 | flux_n(k) = v_comp * ( & |
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350 | 7.0 * ( sk(k,j+1,i) + sk(k,j,i) ) & |
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351 | - ( sk(k,j+2,i) + sk(k,j-1,i) ) ) * adv_sca_3 |
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352 | diss_n(k) = -ABS( v_comp ) * ( & |
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353 | 3.0 * ( sk(k,j+1,i) - sk(k,j,i) ) & |
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354 | - ( sk(k,j+2,i) - sk(k,j-1,i) ) ) * adv_sca_3 |
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355 | ENDDO |
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356 | |
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357 | CASE ( 4 ) |
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358 | |
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359 | DO k = nzb_s_inner(j,i)+1, nzt |
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360 | v_comp = v(k,j+1,i) - v_gtrans |
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361 | flux_n(k) = v_comp* ( sk(k,j+1,i) + sk(k,j,i) ) * 0.5 |
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362 | diss_n(k) = diss_2nd( sk(k,j+1,i), sk(k,j+1,i), sk(k,j,i), & |
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363 | sk(k,j-1,i), sk(k,j-2,i), v_comp, & |
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364 | 0.5, ddy ) |
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365 | ENDDO |
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366 | |
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367 | CASE ( 5 ) |
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368 | |
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369 | DO k = nzb_w_inner(j,i)+1, nzt |
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370 | u_comp = u(k,j,i+1) - u_gtrans |
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371 | flux_r(k) = u_comp * ( & |
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372 | 7.0 * ( sk(k,j,i+1) + sk(k,j,i) ) & |
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373 | - ( sk(k,j,i+2) + sk(k,j,i-1) ) ) * adv_sca_3 |
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374 | diss_r(k) = -ABS( u_comp ) * ( & |
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375 | 3.0 * ( sk(k,j,i+1) - sk(k,j,i) ) & |
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376 | - ( sk(k,j,i+2) - sk(k,j,i-1) ) ) * adv_sca_3 |
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377 | ENDDO |
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378 | |
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379 | CASE ( 6 ) |
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380 | |
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381 | DO k = nzb_s_inner(j,i)+1, nzt |
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382 | u_comp = u(k,j,i+1) - u_gtrans |
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383 | flux_r(k) = u_comp * ( & |
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384 | 7.0 * ( sk(k,j,i+1) + sk(k,j,i) ) & |
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385 | - ( sk(k,j,i+2) + sk(k,j,i-1) ) ) * adv_sca_3 |
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386 | diss_r(k) = -ABS( u_comp ) * ( & |
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387 | 3.0 * ( sk(k,j,i+1) - sk(k,j,i) ) & |
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388 | - ( sk(k,j,i+2) - sk(k,j,i-1) ) ) * adv_sca_3 |
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389 | ! |
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390 | !-- Compute leftside fluxes for the left boundary of PE domain |
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391 | u_comp = u(k,j,i) - u_gtrans |
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392 | swap_flux_x_local(k,j,tn) = u_comp * ( & |
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393 | sk(k,j,i) + sk(k,j,i-1) ) * 0.5 |
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394 | swap_diss_x_local(k,j,tn) = diss_2nd( sk(k,j,i+2),sk(k,j,i+1), & |
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395 | sk(k,j,i), sk(k,j,i-1), & |
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396 | sk(k,j,i-1), u_comp, & |
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397 | 0.5, ddx ) |
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398 | ENDDO |
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399 | degraded_l = .TRUE. |
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400 | |
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401 | CASE ( 7 ) |
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402 | |
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403 | DO k = nzb_s_inner(j,i)+1, nzt |
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404 | v_comp = v(k,j+1,i)-v_gtrans |
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405 | flux_n(k) = v_comp * ( & |
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406 | 7.0 * ( sk(k,j+1,i) + sk(k,j,i) ) & |
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407 | - ( sk(k,j+2,i) + sk(k,j-1,i) ) ) * adv_sca_3 |
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408 | diss_n(k) = -ABS( v_comp ) * ( & |
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409 | 3.0 * ( sk(k,j+1,i) - sk(k,j,i) ) & |
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410 | - ( sk(k,j+2,i) - sk(k,j-1,i) ) ) * adv_sca_3 |
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411 | ENDDO |
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412 | |
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413 | CASE ( 8 ) |
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414 | |
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415 | DO k = nzb_s_inner(j,i)+1, nzt |
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416 | v_comp = v(k,j+1,i) - v_gtrans |
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417 | flux_n(k) = v_comp * ( & |
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418 | 7.0 * ( sk(k,j+1,i) + sk(k,j,i) ) & |
---|
419 | - ( sk(k,j+2,i) + sk(k,j-1,i) ) ) * adv_sca_3 |
---|
420 | diss_n(k) = -ABS( v_comp ) * ( & |
---|
421 | 3.0 * ( sk(k,j+1,i) - sk(k,j,i) ) & |
---|
422 | - ( sk(k,j+2,i) - sk(k,j-1,i) ) ) * adv_sca_3 |
---|
423 | ! |
---|
424 | !-- Compute southside fluxes for the south boundary of PE domain |
---|
425 | v_comp = v(k,j,i) - v_gtrans |
---|
426 | swap_flux_y_local(k,tn) = v_comp * & |
---|
427 | ( sk(k,j,i) + sk(k,j-1,i) ) * 0.5 |
---|
428 | swap_diss_y_local(k,tn) = diss_2nd( sk(k,j+2,i), sk(k,j+1,i), & |
---|
429 | sk(k,j,i), sk(k,j-1,i), & |
---|
430 | sk(k,j-1,i), v_comp, & |
---|
431 | 0.5, ddy ) |
---|
432 | ENDDO |
---|
433 | degraded_s = .TRUE. |
---|
434 | |
---|
435 | CASE DEFAULT |
---|
436 | |
---|
437 | END SELECT |
---|
438 | |
---|
439 | ! |
---|
440 | !-- Compute the crosswise 5th order fluxes at the outflow |
---|
441 | IF ( boundary_flags(j,i) == 1 .OR. boundary_flags(j,i) == 2 .OR. & |
---|
442 | boundary_flags(j,i) == 5 .OR. boundary_flags(j,i) == 6 ) THEN |
---|
443 | |
---|
444 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
445 | v_comp = v(k,j+1,i) - v_gtrans |
---|
446 | flux_n(k) = v_comp * ( & |
---|
447 | 37.0 * ( sk(k,j+1,i) + sk(k,j,i) ) & |
---|
448 | - 8.0 * ( sk(k,j+2,i) + sk(k,j-1,i) ) & |
---|
449 | + ( sk(k,j+3,i) + sk(k,j-2,i) ) ) * adv_sca_5 |
---|
450 | diss_n(k) = -ABS( v_comp ) * ( & |
---|
451 | 10.0 * ( sk(k,j+1,i) - sk(k,j,i) ) & |
---|
452 | - 5.0 * ( sk(k,j+2,i) - sk(k,j-1,i) ) & |
---|
453 | + ( sk(k,j+3,i) - sk(k,j-2,i) ) ) * adv_sca_5 |
---|
454 | ENDDO |
---|
455 | |
---|
456 | ELSE |
---|
457 | |
---|
458 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
459 | u_comp = u(k,j,i+1) - u_gtrans |
---|
460 | flux_r(k) = u_comp * ( & |
---|
461 | 37.0 * ( sk(k,j,i+1) + sk(k,j,i) ) & |
---|
462 | - 8.0 * ( sk(k,j,i+2) + sk(k,j,i-1) ) & |
---|
463 | + ( sk(k,j,i+3) + sk(k,j,i-2) ) ) * adv_sca_5 |
---|
464 | diss_r(k) = -ABS( u_comp ) * ( & |
---|
465 | 10.0 * ( sk(k,j,i+1) - sk(k,j,i) ) & |
---|
466 | - 5.0 * ( sk(k,j,i+2) - sk(k,j,i-1) ) & |
---|
467 | + ( sk(k,j,i+3) - sk(k,j,i-2) ) ) * adv_sca_5 |
---|
468 | ENDDO |
---|
469 | |
---|
470 | ENDIF |
---|
471 | |
---|
472 | ELSE |
---|
473 | |
---|
474 | ! |
---|
475 | !-- Compute the fifth order fluxes for the interior of PE domain. |
---|
476 | DO k = nzb_u_inner(j,i)+1, nzt |
---|
477 | u_comp = u(k,j,i+1) - u_gtrans |
---|
478 | flux_r(k) = u_comp * ( & |
---|
479 | 37.0 * ( sk(k,j,i+1) + sk(k,j,i) ) & |
---|
480 | - 8.0 * ( sk(k,j,i+2) + sk(k,j,i-1) ) & |
---|
481 | + ( sk(k,j,i+3) + sk(k,j,i-2) ) ) * adv_sca_5 |
---|
482 | diss_r(k) = -ABS( u_comp ) * ( & |
---|
483 | 10.0 * ( sk(k,j,i+1) - sk(k,j,i) ) & |
---|
484 | - 5.0 * ( sk(k,j,i+2) - sk(k,j,i-1) ) & |
---|
485 | + ( sk(k,j,i+3) - sk(k,j,i-2) ) ) * adv_sca_5 |
---|
486 | |
---|
487 | v_comp = v(k,j+1,i) - v_gtrans |
---|
488 | flux_n(k) = v_comp * ( & |
---|
489 | 37.0 * ( sk(k,j+1,i) + sk(k,j,i) ) & |
---|
490 | - 8.0 * ( sk(k,j+2,i) + sk(k,j-1,i) ) & |
---|
491 | + ( sk(k,j+3,i) + sk(k,j-2,i) ) ) * adv_sca_5 |
---|
492 | diss_n(k) = -ABS( v_comp ) * ( & |
---|
493 | 10.0 * ( sk(k,j+1,i) - sk(k,j,i) ) & |
---|
494 | - 5.0 * ( sk(k,j+2,i) - sk(k,j-1,i) ) & |
---|
495 | + ( sk(k,j+3,i) - sk(k,j-2,i) ) ) * adv_sca_5 |
---|
496 | ENDDO |
---|
497 | |
---|
498 | ENDIF |
---|
499 | ! |
---|
500 | !-- Compute left- and southside fluxes of the respective PE bounds. |
---|
501 | IF ( j == nys .AND. .NOT. degraded_s ) THEN |
---|
502 | |
---|
503 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
504 | v_comp = v(k,j,i) - v_gtrans |
---|
505 | swap_flux_y_local(k,tn) = v_comp * ( & |
---|
506 | 37.0 * ( sk(k,j,i) + sk(k,j-1,i) ) & |
---|
507 | - 8.0 * ( sk(k,j+1,i) + sk(k,j-2,i) ) & |
---|
508 | + ( sk(k,j+2,i) + sk(k,j-3,i) ) & |
---|
509 | ) * adv_sca_5 |
---|
510 | swap_diss_y_local(k,tn) = -ABS( v_comp ) * ( & |
---|
511 | 10.0 * ( sk(k,j,i) - sk(k,j-1,i) ) & |
---|
512 | - 5.0 * ( sk(k,j+1,i) - sk(k,j-2,i) ) & |
---|
513 | + sk(k,j+2,i) - sk(k,j-3,i) & |
---|
514 | ) * adv_sca_5 |
---|
515 | ENDDO |
---|
516 | |
---|
517 | ENDIF |
---|
518 | |
---|
519 | IF ( i == i_omp .AND. .NOT. degraded_l ) THEN |
---|
520 | |
---|
521 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
522 | u_comp = u(k,j,i) - u_gtrans |
---|
523 | swap_flux_x_local(k,j,tn) = u_comp * ( & |
---|
524 | 37.0 * ( sk(k,j,i) + sk(k,j,i-1) ) & |
---|
525 | - 8.0 * ( sk(k,j,i+1) + sk(k,j,i-2) ) & |
---|
526 | + ( sk(k,j,i+2) + sk(k,j,i-3) ) & |
---|
527 | ) * adv_sca_5 |
---|
528 | swap_diss_x_local(k,j,tn) = -ABS( u_comp ) * ( & |
---|
529 | 10.0 * ( sk(k,j,i) - sk(k,j,i-1) ) & |
---|
530 | - 5.0 * ( sk(k,j,i+1) - sk(k,j,i-2) ) & |
---|
531 | + ( sk(k,j,i+2) - sk(k,j,i-3) ) & |
---|
532 | ) * adv_sca_5 |
---|
533 | ENDDO |
---|
534 | |
---|
535 | ENDIF |
---|
536 | |
---|
537 | ! |
---|
538 | !-- Now compute the tendency terms for the horizontal parts |
---|
539 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
540 | |
---|
541 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
542 | ( flux_r(k) + diss_r(k) - swap_flux_x_local(k,j,tn) - & |
---|
543 | swap_diss_x_local(k,j,tn) ) * ddx & |
---|
544 | + ( flux_n(k) + diss_n(k) - swap_flux_y_local(k,tn) - & |
---|
545 | swap_diss_y_local(k,tn) ) * ddy & |
---|
546 | ) |
---|
547 | |
---|
548 | swap_flux_y_local(k,tn) = flux_n(k) |
---|
549 | swap_diss_y_local(k,tn) = diss_n(k) |
---|
550 | swap_flux_x_local(k,j,tn) = flux_r(k) |
---|
551 | swap_diss_x_local(k,j,tn) = diss_r(k) |
---|
552 | |
---|
553 | ENDDO |
---|
554 | |
---|
555 | ! |
---|
556 | !-- Vertical advection, degradation of order near bottom and top. |
---|
557 | !-- The fluxes flux_d and diss_d at the surface are 0. Due to later |
---|
558 | !-- calculation of statistics the top flux at the surface should be 0. |
---|
559 | flux_t(nzb_s_inner(j,i)) = 0.0 |
---|
560 | diss_t(nzb_s_inner(j,i)) = 0.0 |
---|
561 | |
---|
562 | ! |
---|
563 | !-- 2nd-order scheme (bottom) |
---|
564 | k = nzb_s_inner(j,i)+1 |
---|
565 | flux_d = flux_t(k-1) |
---|
566 | diss_d = diss_t(k-1) |
---|
567 | flux_t(k) = w(k,j,i) * ( sk(k+1,j,i) + sk(k,j,i) ) * 0.5 |
---|
568 | |
---|
569 | ! |
---|
570 | !-- sk(k,j,i) is referenced three times to avoid an access below surface |
---|
571 | diss_t(k) = diss_2nd( sk(k+2,j,i), sk(k+1,j,i), sk(k,j,i), sk(k,j,i), & |
---|
572 | sk(k,j,i), w(k,j,i), 0.5, ddzw(k) ) |
---|
573 | |
---|
574 | tend(k,j,i) = tend(k,j,i) - ( flux_t(k) + diss_t(k) - flux_d - diss_d ) & |
---|
575 | * ddzw(k) |
---|
576 | ! |
---|
577 | !-- WS3 as an intermediate step (bottom) |
---|
578 | k = nzb_s_inner(j,i) + 2 |
---|
579 | flux_d = flux_t(k-1) |
---|
580 | diss_d = diss_t(k-1) |
---|
581 | flux_t(k) = w(k,j,i) * ( & |
---|
582 | 7.0 * ( sk(k+1,j,i) + sk(k,j,i) ) & |
---|
583 | - ( sk(k+2,j,i) + sk(k-1,j,i) ) & |
---|
584 | ) * adv_sca_3 |
---|
585 | diss_t(k) = -ABS( w(k,j,i) ) * ( & |
---|
586 | 3.0 * ( sk(k+1,j,i) - sk(k,j,i) ) & |
---|
587 | - ( sk(k+2,j,i) - sk(k-1,j,i) ) & |
---|
588 | ) * adv_sca_3 |
---|
589 | |
---|
590 | tend(k,j,i) = tend(k,j,i) - ( flux_t(k) + diss_t(k) - flux_d - diss_d ) & |
---|
591 | * ddzw(k) |
---|
592 | ! |
---|
593 | !-- WS5 |
---|
594 | DO k = nzb_s_inner(j,i)+3, nzt-2 |
---|
595 | |
---|
596 | flux_d = flux_t(k-1) |
---|
597 | diss_d = diss_t(k-1) |
---|
598 | flux_t(k) = w(k,j,i) * ( & |
---|
599 | 37.0 * ( sk(k+1,j,i) + sk(k,j,i) ) & |
---|
600 | - 8.0 * ( sk(k+2,j,i) + sk(k-1,j,i) ) & |
---|
601 | + ( sk(k+3,j,i) + sk(k-2,j,i) ) & |
---|
602 | ) * adv_sca_5 |
---|
603 | diss_t(k) = -ABS( w(k,j,i) ) * ( & |
---|
604 | 10.0 * ( sk(k+1,j,i) - sk(k,j,i) )& |
---|
605 | - 5.0 * ( sk(k+2,j,i) - sk(k-1,j,i) )& |
---|
606 | + ( sk(k+3,j,i) - sk(k-2,j,i) )& |
---|
607 | ) * adv_sca_5 |
---|
608 | |
---|
609 | tend(k,j,i) = tend(k,j,i) - ( flux_t(k) + diss_t(k) & |
---|
610 | - ( flux_d + diss_d ) ) * ddzw(k) |
---|
611 | |
---|
612 | ENDDO |
---|
613 | |
---|
614 | ! |
---|
615 | !-- WS3 as an intermediate step (top) |
---|
616 | k = nzt - 1 |
---|
617 | flux_d = flux_t(k-1) |
---|
618 | diss_d = diss_t(k-1) |
---|
619 | flux_t(k) = w(k,j,i) * ( & |
---|
620 | 7.0 * ( sk(k+1,j,i) + sk(k,j,i) ) & |
---|
621 | - ( sk(k+2,j,i) + sk(k-1,j,i) ) & |
---|
622 | ) * adv_sca_3 |
---|
623 | diss_t(k) = -ABS( w(k,j,i) ) * ( & |
---|
624 | 3.0 * ( sk(k+1,j,i) - sk(k,j,i) ) & |
---|
625 | - ( sk(k+2,j,i) - sk(k-1,j,i) ) & |
---|
626 | ) * adv_sca_3 |
---|
627 | |
---|
628 | tend(k,j,i) = tend(k,j,i) - ( flux_t(k) + diss_t(k) - flux_d - diss_d ) & |
---|
629 | * ddzw(k) |
---|
630 | ! |
---|
631 | !-- 2nd-order scheme (top) |
---|
632 | k = nzt |
---|
633 | flux_d = flux_t(k-1) |
---|
634 | diss_d = diss_t(k-1) |
---|
635 | flux_t(k) = w(k,j,i) * ( sk(k+1,j,i) + sk(k,j,i) ) * 0.5 |
---|
636 | |
---|
637 | ! |
---|
638 | !-- sk(k+1) is referenced two times to avoid a segmentation fault at top |
---|
639 | diss_t(k) = diss_2nd( sk(k+1,j,i), sk(k+1,j,i), sk(k,j,i), sk(k-1,j,i), & |
---|
640 | sk(k-2,j,i), w(k,j,i), 0.5, ddzw(k) ) |
---|
641 | |
---|
642 | tend(k,j,i) = tend(k,j,i) - ( flux_t(k) + diss_t(k) - flux_d - diss_d ) & |
---|
643 | * ddzw(k) |
---|
644 | ! |
---|
645 | !-- Evaluation of statistics |
---|
646 | SELECT CASE ( sk_char ) |
---|
647 | |
---|
648 | CASE ( 'pt' ) |
---|
649 | |
---|
650 | DO k = nzb_s_inner(j,i), nzt |
---|
651 | sums_wspts_ws_l(k,tn) = sums_wspts_ws_l(k,tn) + & |
---|
652 | ( flux_t(k) + diss_t(k) ) & |
---|
653 | * weight_substep(intermediate_timestep_count) |
---|
654 | ENDDO |
---|
655 | |
---|
656 | CASE ( 'sa' ) |
---|
657 | |
---|
658 | DO k = nzb_s_inner(j,i), nzt |
---|
659 | sums_wssas_ws_l(k,tn) = sums_wssas_ws_l(k,tn) + & |
---|
660 | ( flux_t(k) + diss_t(k) ) & |
---|
661 | * weight_substep(intermediate_timestep_count) |
---|
662 | ENDDO |
---|
663 | |
---|
664 | CASE ( 'q' ) |
---|
665 | |
---|
666 | DO k = nzb_s_inner(j,i), nzt |
---|
667 | sums_wsqs_ws_l(k,tn) = sums_wsqs_ws_l(k,tn) + & |
---|
668 | ( flux_t(k) + diss_t(k) ) & |
---|
669 | * weight_substep(intermediate_timestep_count) |
---|
670 | ENDDO |
---|
671 | |
---|
672 | END SELECT |
---|
673 | |
---|
674 | END SUBROUTINE advec_s_ws_ij |
---|
675 | |
---|
676 | |
---|
677 | |
---|
678 | |
---|
679 | !------------------------------------------------------------------------------! |
---|
680 | ! Advection of u-component - Call for grid point i,j |
---|
681 | !------------------------------------------------------------------------------! |
---|
682 | SUBROUTINE advec_u_ws_ij( i, j, i_omp, tn ) |
---|
683 | |
---|
684 | USE arrays_3d |
---|
685 | USE constants |
---|
686 | USE control_parameters |
---|
687 | USE grid_variables |
---|
688 | USE indices |
---|
689 | USE statistics |
---|
690 | |
---|
691 | IMPLICIT NONE |
---|
692 | |
---|
693 | INTEGER :: i, i_omp, j, k, tn |
---|
694 | LOGICAL :: degraded_l, degraded_s |
---|
695 | REAL :: gu, gv, flux_d, diss_d, u_comp_l, v_comp, w_comp |
---|
696 | REAL, DIMENSION(nzb:nzt+1) :: flux_t, diss_t, flux_r, diss_r, & |
---|
697 | flux_n, diss_n, u_comp |
---|
698 | |
---|
699 | degraded_l = .FALSE. |
---|
700 | degraded_s = .FALSE. |
---|
701 | |
---|
702 | gu = 2.0 * u_gtrans |
---|
703 | gv = 2.0 * v_gtrans |
---|
704 | |
---|
705 | IF ( boundary_flags(j,i) /= 0 ) THEN |
---|
706 | ! |
---|
707 | !-- Degrade the order for Dirichlet bc. at the outflow boundary |
---|
708 | SELECT CASE ( boundary_flags(j,i) ) |
---|
709 | |
---|
710 | CASE ( 1 ) |
---|
711 | DO k = nzb_u_inner(j,i)+1, nzt |
---|
712 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
---|
713 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
---|
714 | 7.0 * ( u(k,j,i+1) + u(k,j,i) ) & |
---|
715 | - ( u(k,j,i+2) + u(k,j,i-1) ) ) * adv_mom_3 |
---|
716 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
---|
717 | 3.0 * ( u(k,j,i+1) - u(k,j,i) ) & |
---|
718 | - ( u(k,j,i+2) - u(k,j,i-1) ) ) * adv_mom_3 |
---|
719 | ENDDO |
---|
720 | |
---|
721 | CASE ( 2 ) |
---|
722 | DO k = nzb_u_inner(j,i)+1, nzt |
---|
723 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
---|
724 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
---|
725 | u(k,j,i+1) + u(k,j,i) ) * 0.25 |
---|
726 | diss_r(k) = diss_2nd( u(k,j,i+1) ,u(k,j,i+1), u(k,j,i), & |
---|
727 | u(k,j,i-1), u(k,j,i-2), u_comp(k), & |
---|
728 | 0.25, ddx ) |
---|
729 | ENDDO |
---|
730 | |
---|
731 | CASE ( 3 ) |
---|
732 | DO k = nzb_u_inner(j,i)+1, nzt |
---|
733 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
---|
734 | flux_n(k) = v_comp * ( & |
---|
735 | 7.0 * ( u(k,j+1,i) + u(k,j,i) ) & |
---|
736 | - ( u(k,j+2,i) + u(k,j-1,i) ) ) * adv_mom_3 |
---|
737 | diss_n(k) = - ABS( v_comp ) * ( & |
---|
738 | 3.0 * ( u(k,j+1,i) - u(k,j,i) ) & |
---|
739 | - ( u(k,j+2,i) - u(k,j-1,i) ) ) * adv_mom_3 |
---|
740 | ENDDO |
---|
741 | |
---|
742 | CASE ( 4 ) |
---|
743 | DO k = nzb_u_inner(j,i)+1, nzt |
---|
744 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
---|
745 | flux_n(k) = v_comp * ( u(k,j+1,i) + u(k,j,i) ) * 0.25 |
---|
746 | diss_n(k) = diss_2nd( u(k,j+1,i), u(k,j+1,i), u(k,j,i), & |
---|
747 | u(k,j-1,i), u(k,j-2,i), v_comp, & |
---|
748 | 0.25, ddy ) |
---|
749 | ENDDO |
---|
750 | |
---|
751 | CASE ( 5 ) |
---|
752 | DO k = nzb_u_inner(j,i)+1, nzt |
---|
753 | ! |
---|
754 | !-- Compute leftside fluxes for the left boundary of PE domain |
---|
755 | u_comp(k) = u(k,j,i) + u(k,j,i-1) - gu |
---|
756 | flux_l_u(k,j,tn) = u_comp(k) * ( u(k,j,i) + u(k,j,i-1) ) * 0.25 |
---|
757 | diss_l_u(k,j,tn) = diss_2nd( u(k,j,i+2), u(k,j,i+1), u(k,j,i), & |
---|
758 | u(k,j,i-1), u(k,j,i-1), u_comp(k),& |
---|
759 | 0.25, ddx ) |
---|
760 | |
---|
761 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
---|
762 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
---|
763 | 7.0 * ( u(k,j,i+1) + u(k,j,i) ) & |
---|
764 | - ( u(k,j,i+2) + u(k,j,i-1) ) ) * adv_mom_3 |
---|
765 | diss_r(k) = - ABS( u_comp(k) -gu ) * ( & |
---|
766 | 3.0 * ( u(k,j,i+1) - u(k,j,i) ) & |
---|
767 | - ( u(k,j,i+2) - u(k,j,i-1) ) ) * adv_mom_3 |
---|
768 | ENDDO |
---|
769 | degraded_l = .TRUE. |
---|
770 | |
---|
771 | CASE ( 7 ) |
---|
772 | DO k = nzb_u_inner(j,i)+1, nzt |
---|
773 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
---|
774 | flux_n(k) = v_comp * ( & |
---|
775 | 7.0 * ( u(k,j+1,i) + u(k,j,i) ) & |
---|
776 | - ( u(k,j+2,i) + u(k,j-1,i) ) ) * adv_mom_3 |
---|
777 | diss_n(k) = - ABS( v_comp ) * ( & |
---|
778 | 3.0 * ( u(k,j+1,i) - u(k,j,i) ) & |
---|
779 | - ( u(k,j+2,i) - u(k,j-1,i) ) ) * adv_mom_3 |
---|
780 | ENDDO |
---|
781 | |
---|
782 | CASE ( 8 ) |
---|
783 | DO k = nzb_u_inner(j,i)+1, nzt |
---|
784 | ! |
---|
785 | !-- Compute southside fluxes for the south boundary of PE domain |
---|
786 | v_comp = v(k,j,i) + v(k,j,i-1) - gv |
---|
787 | flux_s_u(k,tn) = v_comp * ( u(k,j,i) + u(k,j-1,i) ) * 0.25 |
---|
788 | diss_s_u(k,tn) = diss_2nd( u(k,j+2,i), u(k,j+1,i), u(k,j,i), & |
---|
789 | u(k,j-1,i), u(k,j-1,i), v_comp, & |
---|
790 | 0.25, ddy ) |
---|
791 | |
---|
792 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
---|
793 | flux_n(k) = v_comp * ( & |
---|
794 | 7.0 * ( u(k,j+1,i) + u(k,j,i) ) & |
---|
795 | - ( u(k,j+2,i) + u(k,j-1,i) ) ) * adv_mom_3 |
---|
796 | diss_n(k) = - ABS( v_comp ) * ( & |
---|
797 | 3.0 * ( u(k,j+1,i) - u(k,j,i) ) & |
---|
798 | - ( u(k,j+2,i) - u(k,j-1,i) ) ) * adv_mom_3 |
---|
799 | ENDDO |
---|
800 | degraded_s = .TRUE. |
---|
801 | |
---|
802 | CASE DEFAULT |
---|
803 | |
---|
804 | END SELECT |
---|
805 | ! |
---|
806 | !-- Compute the crosswise 5th order fluxes at the outflow |
---|
807 | IF ( boundary_flags(j,i) == 1 .OR. boundary_flags(j,i) == 2 .OR. & |
---|
808 | boundary_flags(j,i) == 5 ) THEN |
---|
809 | |
---|
810 | DO k = nzb_u_inner(j,i)+1, nzt |
---|
811 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
---|
812 | flux_n(k) = v_comp * ( & |
---|
813 | 37.0 * ( u(k,j+1,i) + u(k,j,i) ) & |
---|
814 | - 8.0 * ( u(k,j+2,i) + u(k,j-1,i) ) & |
---|
815 | + ( u(k,j+3,i) + u(k,j-2,i) ) ) * adv_mom_5 |
---|
816 | diss_n(k) = - ABS ( v_comp ) * ( & |
---|
817 | 10.0 * ( u(k,j+1,i) - u(k,j,i) ) & |
---|
818 | - 5.0 * ( u(k,j+2,i) - u(k,j-1,i) ) & |
---|
819 | + ( u(k,j+3,i) - u(k,j-2,i) ) ) * adv_mom_5 |
---|
820 | ENDDO |
---|
821 | |
---|
822 | ELSE |
---|
823 | |
---|
824 | DO k = nzb_u_inner(j,i)+1, nzt |
---|
825 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
---|
826 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
---|
827 | 37.0 * ( u(k,j,i+1) + u(k,j,i) ) & |
---|
828 | - 8.0 * ( u(k,j,i+2) + u(k,j,i-1) ) & |
---|
829 | + ( u(k,j,i+3) + u(k,j,i-2) ) ) * adv_mom_5 |
---|
830 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
---|
831 | 10.0 * ( u(k,j,i+1) - u(k,j,i) ) & |
---|
832 | - 5.0 * ( u(k,j,i+2) - u(k,j,i-1) ) & |
---|
833 | + ( u(k,j,i+3) - u(k,j,i-2) ) ) * adv_mom_5 |
---|
834 | ENDDO |
---|
835 | |
---|
836 | ENDIF |
---|
837 | |
---|
838 | ELSE |
---|
839 | ! |
---|
840 | !-- Compute the fifth order fluxes for the interior of PE domain. |
---|
841 | DO k = nzb_u_inner(j,i)+1, nzt |
---|
842 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
---|
843 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
---|
844 | 37.0 * ( u(k,j,i+1) + u(k,j,i) ) & |
---|
845 | - 8.0 * ( u(k,j,i+2) + u(k,j,i-1) ) & |
---|
846 | + ( u(k,j,i+3) + u(k,j,i-2) ) ) * adv_mom_5 |
---|
847 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
---|
848 | 10.0 * ( u(k,j,i+1) - u(k,j,i) ) & |
---|
849 | - 5.0 * ( u(k,j,i+2) - u(k,j,i-1) ) & |
---|
850 | + ( u(k,j,i+3) - u(k,j,i-2) ) ) * adv_mom_5 |
---|
851 | |
---|
852 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
---|
853 | flux_n(k) = v_comp * ( & |
---|
854 | 37.0 * ( u(k,j+1,i) + u(k,j,i) ) & |
---|
855 | - 8.0 * ( u(k,j+2,i) + u(k,j-1,i) ) & |
---|
856 | + ( u(k,j+3,i) + u(k,j-2,i) ) ) * adv_mom_5 |
---|
857 | diss_n(k) = - ABS( v_comp ) * ( & |
---|
858 | 10.0 * ( u(k,j+1,i) - u(k,j,i) ) & |
---|
859 | - 5.0 * ( u(k,j+2,i) - u(k,j-1,i) ) & |
---|
860 | + ( u(k,j+3,i) - u(k,j-2,i) ) ) * adv_mom_5 |
---|
861 | ENDDO |
---|
862 | |
---|
863 | ENDIF |
---|
864 | ! |
---|
865 | !-- Compute left- and southside fluxes for the respective boundary of PE |
---|
866 | IF ( j == nys .AND. ( .NOT. degraded_s ) ) THEN |
---|
867 | |
---|
868 | DO k = nzb_u_inner(j,i)+1, nzt |
---|
869 | v_comp = v(k,j,i) + v(k,j,i-1) - gv |
---|
870 | flux_s_u(k,tn) = v_comp * ( & |
---|
871 | 37.0 * ( u(k,j,i) + u(k,j-1,i) ) & |
---|
872 | - 8.0 * ( u(k,j+1,i) + u(k,j-2,i) ) & |
---|
873 | + ( u(k,j+2,i) + u(k,j-3,i) ) ) * adv_mom_5 |
---|
874 | diss_s_u(k,tn) = - ABS(v_comp) * ( & |
---|
875 | 10.0 * ( u(k,j,i) - u(k,j-1,i) ) & |
---|
876 | - 5.0 * ( u(k,j+1,i) - u(k,j-2,i) ) & |
---|
877 | + ( u(k,j+2,i) - u(k,j-3,i) ) ) * adv_mom_5 |
---|
878 | ENDDO |
---|
879 | |
---|
880 | ENDIF |
---|
881 | |
---|
882 | IF ( i == i_omp .AND. ( .NOT. degraded_l ) ) THEN |
---|
883 | |
---|
884 | DO k = nzb_u_inner(j,i)+1, nzt |
---|
885 | u_comp_l = u(k,j,i)+u(k,j,i-1)-gu |
---|
886 | flux_l_u(k,j,tn) = u_comp_l * ( & |
---|
887 | 37.0 * ( u(k,j,i) + u(k,j,i-1) ) & |
---|
888 | - 8.0 * ( u(k,j,i+1) + u(k,j,i-2) ) & |
---|
889 | + ( u(k,j,i+2) + u(k,j,i-3) ) ) * adv_mom_5 |
---|
890 | diss_l_u(k,j,tn) = - ABS(u_comp_l) * ( & |
---|
891 | 10.0 * ( u(k,j,i) - u(k,j,i-1) ) & |
---|
892 | - 5.0 * ( u(k,j,i+1) - u(k,j,i-2) ) & |
---|
893 | + ( u(k,j,i+2) - u(k,j,i-3) ) ) * adv_mom_5 |
---|
894 | ENDDO |
---|
895 | |
---|
896 | ENDIF |
---|
897 | ! |
---|
898 | !-- Now compute the tendency terms for the horizontal parts. |
---|
899 | DO k = nzb_u_inner(j,i)+1, nzt |
---|
900 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
901 | ( flux_r(k) + diss_r(k) & |
---|
902 | - flux_l_u(k,j,tn) - diss_l_u(k,j,tn) ) * ddx & |
---|
903 | + ( flux_n(k) + diss_n(k) & |
---|
904 | - flux_s_u(k,tn) - diss_s_u(k,tn) ) * ddy ) |
---|
905 | |
---|
906 | flux_l_u(k,j,tn) = flux_r(k) |
---|
907 | diss_l_u(k,j,tn) = diss_r(k) |
---|
908 | flux_s_u(k,tn) = flux_n(k) |
---|
909 | diss_s_u(k,tn) = diss_n(k) |
---|
910 | ! |
---|
911 | !-- Statistical Evaluation of u'u'. The factor has to be applied for |
---|
912 | !-- right evaluation when gallilei_trans = .T. . |
---|
913 | sums_us2_ws_l(k,tn) = sums_us2_ws_l(k,tn) & |
---|
914 | + ( flux_r(k) * & |
---|
915 | ( u_comp(k) - 2.0 * hom(k,1,1,0) ) & |
---|
916 | / ( u_comp(k) - gu + 1.0E-20 ) & |
---|
917 | + diss_r(k) * & |
---|
918 | ABS( u_comp(k) - 2.0 * hom(k,1,1,0) ) & |
---|
919 | / ( ABS( u_comp(k) - gu ) + 1.0E-20 ) ) & |
---|
920 | * weight_substep(intermediate_timestep_count) |
---|
921 | ENDDO |
---|
922 | sums_us2_ws_l(nzb_u_inner(j,i),tn) = sums_us2_ws_l(nzb_u_inner(j,i)+1,tn) |
---|
923 | |
---|
924 | |
---|
925 | ! |
---|
926 | !-- Vertical advection, degradation of order near surface and top. |
---|
927 | !-- The fluxes flux_d and diss_d at the surface are 0. Due to reasons of |
---|
928 | !-- statistical evaluation the top flux at the surface should be 0 |
---|
929 | flux_t(nzb_u_inner(j,i)) = 0. !statistical reasons |
---|
930 | diss_t(nzb_u_inner(j,i)) = 0. |
---|
931 | ! |
---|
932 | !-- 2nd order scheme (bottom) |
---|
933 | k = nzb_u_inner(j,i)+1 |
---|
934 | flux_d = flux_t(k-1) |
---|
935 | diss_d = diss_t(k-1) |
---|
936 | w_comp = w(k,j,i) + w(k,j,i-1) |
---|
937 | flux_t(k) = w_comp * ( u(k+1,j,i) + u(k,j,i) ) *0.25 |
---|
938 | diss_t(k) = diss_2nd( u(k+2,j,i), u(k+1,j,i), u(k,j,i), 0., 0., & |
---|
939 | w_comp, 0.25, ddzw(k) ) |
---|
940 | |
---|
941 | tend(k,j,i) = tend(k,j,i) - ( flux_t(k) + diss_t(k) & |
---|
942 | - flux_d - diss_d ) * ddzw(k) |
---|
943 | ! |
---|
944 | !-- WS3 as an intermediate step (bottom) |
---|
945 | k = nzb_u_inner(j,i)+2 |
---|
946 | flux_d = flux_t(k-1) |
---|
947 | diss_d = diss_t(k-1) |
---|
948 | w_comp = w(k,j,i) + w(k,j,i-1) |
---|
949 | flux_t(k) = w_comp * ( & |
---|
950 | 7.0 * ( u(k+1,j,i) + u(k,j,i) ) & |
---|
951 | - ( u(k+2,j,i) + u(k-1,j,i) ) ) * adv_mom_3 |
---|
952 | diss_t(k) = -ABS( w_comp) * ( & |
---|
953 | 3.0 * ( u(k+1,j,i) - u(k,j,i) ) & |
---|
954 | - ( u(k+2,j,i) - u(k-1,j,i) ) ) * adv_mom_3 |
---|
955 | |
---|
956 | tend(k,j,i) = tend(k,j,i) - ( flux_t(k) + diss_t(k) & |
---|
957 | - flux_d - diss_d ) * ddzw(k) |
---|
958 | ! |
---|
959 | !-- WS5 |
---|
960 | DO k = nzb_u_inner(j,i)+3, nzt-2 |
---|
961 | flux_d = flux_t(k-1) |
---|
962 | diss_d = diss_t(k-1) |
---|
963 | w_comp = w(k,j,i) + w(k,j,i-1) |
---|
964 | flux_t(k) = w_comp * ( & |
---|
965 | 37.0 * ( u(k+1,j,i) + u(k,j,i) ) & |
---|
966 | - 8.0 * ( u(k+2,j,i) + u(k-1,j,i) ) & |
---|
967 | + ( u(k+3,j,i) + u(k-2,j,i) ) ) * adv_mom_5 |
---|
968 | diss_t(k) = - ABS( w_comp ) * ( & |
---|
969 | 10.0 * ( u(k+1,j,i) - u(k,j,i) ) & |
---|
970 | - 5.0 * ( u(k+2,j,i) - u(k-1,j,i) ) & |
---|
971 | + ( u(k+3,j,i) - u(k-2,j,i) ) ) * adv_mom_5 |
---|
972 | |
---|
973 | tend(k,j,i) = tend(k,j,i) - ( flux_t(k) + diss_t(k) & |
---|
974 | - flux_d - diss_d ) * ddzw(k) |
---|
975 | ENDDO |
---|
976 | ! |
---|
977 | !-- WS3 as an intermediate step (top) |
---|
978 | k = nzt - 1 |
---|
979 | flux_d = flux_t(k-1) |
---|
980 | diss_d = diss_t(k-1) |
---|
981 | w_comp = w(k,j,i) + w(k,j,i-1) |
---|
982 | flux_t(k) = w_comp * ( & |
---|
983 | 7.0 * ( u(k+1,j,i) + u(k,j,i) ) & |
---|
984 | - ( u(k+2,j,i) + u(k-1,j,i) ) ) * adv_mom_3 |
---|
985 | diss_t(k) = - ABS( w_comp ) * ( & |
---|
986 | 3.0 * ( u(k+1,j,i) - u(k,j,i) ) & |
---|
987 | - ( u(k+2,j,i) - u(k-1,j,i) ) ) * adv_mom_3 |
---|
988 | |
---|
989 | tend(k,j,i) = tend(k,j,i) - ( flux_t(k) + diss_t(k) & |
---|
990 | - flux_d - diss_d ) * ddzw(k) |
---|
991 | |
---|
992 | ! |
---|
993 | !-- 2nd order scheme (top) |
---|
994 | k = nzt |
---|
995 | flux_d = flux_t(k-1) |
---|
996 | diss_d = diss_t(k-1) |
---|
997 | w_comp = w(k,j,i)+w(k,j,i-1) |
---|
998 | flux_t(k) = w_comp * ( u(k+1,j,i) + u(k,j,i) ) * 0.25 |
---|
999 | diss_t(k) = diss_2nd( u(k+1,j,i), u(k+1,j,i), u(k,j,i), u(k-1,j,i), & |
---|
1000 | u(k-2,j,i), w_comp, 0.25, ddzw(k) ) |
---|
1001 | |
---|
1002 | tend(k,j,i) = tend(k,j,i) - ( flux_t(k) + diss_t(k) & |
---|
1003 | - flux_d - diss_d ) * ddzw(k) |
---|
1004 | |
---|
1005 | ! |
---|
1006 | !-- sum up the vertical momentum fluxes |
---|
1007 | DO k = nzb_u_inner(j,i), nzt |
---|
1008 | sums_wsus_ws_l(k,tn) = sums_wsus_ws_l(k,tn) & |
---|
1009 | + ( flux_t(k) + diss_t(k) ) & |
---|
1010 | * weight_substep(intermediate_timestep_count) |
---|
1011 | ENDDO |
---|
1012 | |
---|
1013 | |
---|
1014 | END SUBROUTINE advec_u_ws_ij |
---|
1015 | |
---|
1016 | |
---|
1017 | |
---|
1018 | |
---|
1019 | !-----------------------------------------------------------------------------! |
---|
1020 | ! Advection of v-component - Call for grid point i,j |
---|
1021 | !-----------------------------------------------------------------------------! |
---|
1022 | SUBROUTINE advec_v_ws_ij( i, j, i_omp, tn ) |
---|
1023 | |
---|
1024 | USE arrays_3d |
---|
1025 | USE constants |
---|
1026 | USE control_parameters |
---|
1027 | USE grid_variables |
---|
1028 | USE indices |
---|
1029 | USE statistics |
---|
1030 | |
---|
1031 | IMPLICIT NONE |
---|
1032 | |
---|
1033 | INTEGER :: i, i_omp, j, k, tn |
---|
1034 | LOGICAL :: degraded_l, degraded_s |
---|
1035 | REAL :: gu, gv, flux_d, diss_d, u_comp, v_comp_l, w_comp |
---|
1036 | REAL, DIMENSION(nzb:nzt+1) :: flux_t, diss_t, flux_n, & |
---|
1037 | diss_n, flux_r, diss_r, v_comp |
---|
1038 | |
---|
1039 | degraded_l = .FALSE. |
---|
1040 | degraded_s = .FALSE. |
---|
1041 | |
---|
1042 | gu = 2.0 * u_gtrans |
---|
1043 | gv = 2.0 * v_gtrans |
---|
1044 | |
---|
1045 | IF ( boundary_flags(j,i) /= 0 ) THEN |
---|
1046 | ! |
---|
1047 | !-- Degrade the order for Dirichlet bc. at the outflow boundary |
---|
1048 | SELECT CASE ( boundary_flags(j,i) ) |
---|
1049 | |
---|
1050 | CASE ( 1 ) |
---|
1051 | DO k = nzb_v_inner(j,i)+1, nzt |
---|
1052 | u_comp = u(k,j-1,i+1) + u(k,j,i+1) - gu |
---|
1053 | flux_r(k) = u_comp * ( & |
---|
1054 | 7.0 * (v(k,j,i+1) + v(k,j,i) ) & |
---|
1055 | - ( v(k,j,i+2) + v(k,j,i-1) ) ) * adv_mom_3 |
---|
1056 | diss_r(k) = - ABS( u_comp ) * ( & |
---|
1057 | 3.0 * ( v(k,j,i+1) - v(k,j,i) ) & |
---|
1058 | - ( v(k,j,i+2) - v(k,j,i-1) ) ) * adv_mom_3 |
---|
1059 | ENDDO |
---|
1060 | |
---|
1061 | CASE ( 2 ) |
---|
1062 | DO k = nzb_v_inner(j,i)+1, nzt |
---|
1063 | u_comp = u(k,j-1,i+1) + u(k,j,i+1) - gu |
---|
1064 | flux_r(k) = u_comp * ( v(k,j,i+1) + v(k,j,i) ) * 0.25 |
---|
1065 | diss_r(k) = diss_2nd( v(k,j,i+1), v(k,j,i+1), v(k,j,i), & |
---|
1066 | v(k,j,i-1), v(k,j,i-2), u_comp, & |
---|
1067 | 0.25, ddx ) |
---|
1068 | ENDDO |
---|
1069 | |
---|
1070 | CASE ( 3 ) |
---|
1071 | DO k = nzb_v_inner(j,i)+1, nzt |
---|
1072 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
---|
1073 | flux_n(k) = ( v_comp(k)- gv ) * ( & |
---|
1074 | 7.0 * ( v(k,j+1,i) + v(k,j,i) ) & |
---|
1075 | - ( v(k,j+2,i) + v(k,j-1,i) ) ) * adv_mom_3 |
---|
1076 | diss_n(k) = - ABS( v_comp(k) - gv ) * ( & |
---|
1077 | 3.0 * ( v(k,j+1,i) - v(k,j,i) ) & |
---|
1078 | - ( v(k,j+2,i) - v(k,j-1,i) ) ) * adv_mom_3 |
---|
1079 | ENDDO |
---|
1080 | |
---|
1081 | CASE ( 4 ) |
---|
1082 | DO k = nzb_v_inner(j,i)+1, nzt |
---|
1083 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
---|
1084 | flux_n(k) = ( v_comp(k) - gv ) * & |
---|
1085 | ( v(k,j+1,i) + v(k,j,i) ) * 0.25 |
---|
1086 | diss_n(k) = diss_2nd( v(k,j+1,i), v(k,j+1,i), v(k,j,i), & |
---|
1087 | v(k,j-1,i), v(k,j-2,i), v_comp(k), & |
---|
1088 | 0.25, ddy ) |
---|
1089 | ENDDO |
---|
1090 | |
---|
1091 | CASE ( 5 ) |
---|
1092 | DO k = nzb_w_inner(j,i)+1, nzt |
---|
1093 | u_comp = u(k,j-1,i) + u(k,j,i) - gu |
---|
1094 | flux_r(k) = u_comp * ( & |
---|
1095 | 7.0 * ( v(k,j,i+1) + v(k,j,i) ) & |
---|
1096 | - ( v(k,j,i+2) + v(k,j,i-1) ) ) * adv_mom_3 |
---|
1097 | diss_r(k) = - ABS( u_comp ) * ( & |
---|
1098 | 3.0 * ( w(k,j,i+1) - w(k,j,i) ) & |
---|
1099 | - ( v(k,j,i+2) - v(k,j,i-1) ) ) * adv_mom_3 |
---|
1100 | ENDDO |
---|
1101 | |
---|
1102 | CASE ( 6 ) |
---|
1103 | DO k = nzb_v_inner(j,i)+1, nzt |
---|
1104 | u_comp = u(k,j-1,i) + u(k,j,i) - gu |
---|
1105 | flux_l_v(k,j,tn) = u_comp * ( v(k,j,i) + v(k,j,i-1) ) * 0.25 |
---|
1106 | diss_l_v(k,j,tn) = diss_2nd( v(k,j,i+2), v(k,j,i+1), v(k,j,i),& |
---|
1107 | v(k,j,i-1), v(k,j,i-1), u_comp, & |
---|
1108 | 0.25, ddx ) |
---|
1109 | |
---|
1110 | u_comp = u(k,j-1,i+1) + u(k,j,i+1) - gu |
---|
1111 | flux_r(k) = u_comp * ( & |
---|
1112 | 7.0 * ( v(k,j,i+1) + v(k,j,i) ) & |
---|
1113 | - ( v(k,j,i+2) + v(k,j,i-1) ) ) * adv_mom_3 |
---|
1114 | diss_r(k) = - ABS( u_comp ) * ( & |
---|
1115 | 3.0 * ( v(k,j,i+1) - v(k,j,i) ) & |
---|
1116 | - ( v(k,j,i+2) - v(k,j,i-1) ) ) * adv_mom_3 |
---|
1117 | ENDDO |
---|
1118 | degraded_l = .TRUE. |
---|
1119 | |
---|
1120 | CASE ( 7 ) |
---|
1121 | DO k = nzb_v_inner(j,i)+1, nzt |
---|
1122 | v_comp(k) = v(k,j,i) + v(k,j-1,i) - gv |
---|
1123 | flux_s_v(k,tn) = v_comp(k) * ( v(k,j,i) + v(k,j-1,i) ) * 0.25 |
---|
1124 | diss_s_v(k,tn) = diss_2nd( v(k,j+2,i), v(k,j+1,i), v(k,j,i), & |
---|
1125 | v(k,j-1,i), v(k,j-1,i), v_comp(k), & |
---|
1126 | 0.25, ddy ) |
---|
1127 | |
---|
1128 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
---|
1129 | flux_n(k) = ( v_comp(k) - gv ) * ( & |
---|
1130 | 7.0 * ( v(k,j+1,i) + v(k,j,i) ) & |
---|
1131 | - ( v(k,j+2,i) + v(k,j-1,i) ) ) * adv_mom_3 |
---|
1132 | diss_n(k) = - ABS( v_comp(k) - gv ) * ( & |
---|
1133 | 3.0 * ( v(k,j+1,i) - v(k,j,i) ) & |
---|
1134 | - ( v(k,j+2,i) - v(k,j-1,i) ) ) * adv_mom_3 |
---|
1135 | ENDDO |
---|
1136 | degraded_s = .TRUE. |
---|
1137 | |
---|
1138 | CASE DEFAULT |
---|
1139 | |
---|
1140 | END SELECT |
---|
1141 | ! |
---|
1142 | !-- Compute the crosswise 5th order fluxes at the outflow |
---|
1143 | IF ( boundary_flags(j,i) == 1 .OR. boundary_flags(j,i) == 2 .OR. & |
---|
1144 | boundary_flags(j,i) == 5 .OR. boundary_flags(j,i) == 6 ) THEN |
---|
1145 | |
---|
1146 | DO k = nzb_v_inner(j,i)+1, nzt |
---|
1147 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
---|
1148 | flux_n(k) = ( v_comp(k) - gv ) * ( & |
---|
1149 | 37.0 * ( v(k,j+1,i) + v(k,j,i) ) & |
---|
1150 | - 8.0 * ( v(k,j+2,i) + v(k,j-1,i) ) & |
---|
1151 | + ( v(k,j+3,i) + v(k,j-2,i) ) ) * adv_mom_5 |
---|
1152 | diss_n(k) = - ABS( v_comp(k) - gv ) * ( & |
---|
1153 | 10.0 * ( v(k,j+1,i) - v(k,j,i) ) & |
---|
1154 | - 5.0 * ( v(k,j+2,i) - v(k,j-1,i) ) & |
---|
1155 | + ( v(k,j+3,i) - v(k,j-2,i) ) ) * adv_mom_5 |
---|
1156 | ENDDO |
---|
1157 | |
---|
1158 | ELSE |
---|
1159 | |
---|
1160 | DO k = nzb_v_inner(j,i)+1, nzt |
---|
1161 | u_comp = u(k,j-1,i+1) + u(k,j,i+1) - gu |
---|
1162 | flux_r(k) = u_comp * ( & |
---|
1163 | 37.0 * ( v(k,j,i+1) + v(k,j,i) ) & |
---|
1164 | - 8.0 * ( v(k,j,i+2) + v(k,j,i-1) ) & |
---|
1165 | + ( v(k,j,i+3) + v(k,j,i-2) ) ) * adv_mom_5 |
---|
1166 | diss_r(k) = - ABS( u_comp ) * ( & |
---|
1167 | 10.0 * ( v(k,j,i+1) - v(k,j,i) ) & |
---|
1168 | - 5.0 * ( v(k,j,i+2) - v(k,j,i-1) ) & |
---|
1169 | + ( v(k,j,i+3) - v(k,j,i-2) ) ) * adv_mom_5 |
---|
1170 | ENDDO |
---|
1171 | |
---|
1172 | ENDIF |
---|
1173 | |
---|
1174 | ELSE |
---|
1175 | ! |
---|
1176 | !-- Compute the fifth order fluxes for the interior of PE domain. |
---|
1177 | DO k = nzb_v_inner(j,i)+1, nzt |
---|
1178 | u_comp = u(k,j-1,i+1) + u(k,j,i+1) - gu |
---|
1179 | flux_r(k) = u_comp * ( & |
---|
1180 | 37.0 * ( v(k,j,i+1) + v(k,j,i) ) & |
---|
1181 | - 8.0 * ( v(k,j,i+2) + v(k,j,i-1) ) & |
---|
1182 | + ( v(k,j,i+3) + v(k,j,i-2) ) ) * adv_mom_5 |
---|
1183 | diss_r(k) = - ABS( u_comp ) * ( & |
---|
1184 | 10.0 * ( v(k,j,i+1) - v(k,j,i) ) & |
---|
1185 | - 5.0 * ( v(k,j,i+2) - v(k,j,i-1) ) & |
---|
1186 | + ( v(k,j,i+3) - v(k,j,i-2) ) ) * adv_mom_5 |
---|
1187 | |
---|
1188 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
---|
1189 | flux_n(k) = ( v_comp(k) - gv ) * ( & |
---|
1190 | 37.0 * ( v(k,j+1,i) + v(k,j,i) ) & |
---|
1191 | - 8.0 * ( v(k,j+2,i) + v(k,j-1,i) ) & |
---|
1192 | + ( v(k,j+3,i) + v(k,j-2,i) ) ) * adv_mom_5 |
---|
1193 | diss_n(k) = - ABS( v_comp(k) - gv ) * ( & |
---|
1194 | 10.0 * ( v(k,j+1,i) - v(k,j,i) ) & |
---|
1195 | - 5.0 * ( v(k,j+2,i) - v(k,j-1,i) ) & |
---|
1196 | + ( v(k,j+3,i) - v(k,j-2,i) ) ) * adv_mom_5 |
---|
1197 | ENDDO |
---|
1198 | |
---|
1199 | ENDIF |
---|
1200 | ! |
---|
1201 | !-- Compute left- and southside fluxes for the respective boundary |
---|
1202 | IF ( i == i_omp .AND. .NOT. degraded_l ) THEN |
---|
1203 | |
---|
1204 | DO k = nzb_v_inner(j,i)+1, nzt |
---|
1205 | u_comp = u(k,j-1,i) + u(k,j,i) - gu |
---|
1206 | flux_l_v(k,j,tn) = u_comp * ( & |
---|
1207 | 37.0 * ( v(k,j,i) + v(k,j,i-1) ) & |
---|
1208 | - 8.0 * ( v(k,j,i+1) + v(k,j,i-2) ) & |
---|
1209 | + ( v(k,j,i+2) + v(k,j,i-3) ) ) * adv_mom_5 |
---|
1210 | diss_l_v(k,j,tn) = - ABS( u_comp ) * ( & |
---|
1211 | 10.0 * ( v(k,j,i) - v(k,j,i-1) ) & |
---|
1212 | - 5.0 * ( v(k,j,i+1) - v(k,j,i-2) ) & |
---|
1213 | + ( v(k,j,i+2) - v(k,j,i-3) ) ) * adv_mom_5 |
---|
1214 | ENDDO |
---|
1215 | |
---|
1216 | ENDIF |
---|
1217 | |
---|
1218 | IF ( j == nysv .AND. .NOT. degraded_s ) THEN |
---|
1219 | |
---|
1220 | DO k = nzb_v_inner(j,i)+1, nzt |
---|
1221 | v_comp_l = v(k,j,i) + v(k,j-1,i) - gv |
---|
1222 | flux_s_v(k,tn) = v_comp_l * ( & |
---|
1223 | 37.0 * ( v(k,j,i) + v(k,j-1,i) ) & |
---|
1224 | - 8.0 * ( v(k,j+1,i) + v(k,j-2,i) ) & |
---|
1225 | + ( v(k,j+2,i) + v(k,j-3,i) ) ) * adv_mom_5 |
---|
1226 | diss_s_v(k,tn) = - ABS( v_comp_l ) * ( & |
---|
1227 | 10.0 * ( v(k,j,i) - v(k,j-1,i) ) & |
---|
1228 | - 5.0 * ( v(k,j+1,i) - v(k,j-2,i) ) & |
---|
1229 | + ( v(k,j+2,i) - v(k,j-3,i) ) ) * adv_mom_5 |
---|
1230 | ENDDO |
---|
1231 | |
---|
1232 | ENDIF |
---|
1233 | ! |
---|
1234 | !-- Now compute the tendency terms for the horizontal parts. |
---|
1235 | DO k = nzb_v_inner(j,i)+1, nzt |
---|
1236 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
1237 | ( flux_r(k) + diss_r(k) & |
---|
1238 | - flux_l_v(k,j,tn) - diss_l_v(k,j,tn) ) * ddx & |
---|
1239 | + ( flux_n(k) + diss_n(k) & |
---|
1240 | - flux_s_v(k,tn) - diss_s_v(k,tn) ) * ddy ) |
---|
1241 | |
---|
1242 | flux_l_v(k,j,tn) = flux_r(k) |
---|
1243 | diss_l_v(k,j,tn) = diss_r(k) |
---|
1244 | flux_s_v(k,tn) = flux_n(k) |
---|
1245 | diss_s_v(k,tn) = diss_n(k) |
---|
1246 | |
---|
1247 | ! |
---|
1248 | !-- Statistical Evaluation of v'v'. The factor has to be applied for |
---|
1249 | !-- right evaluation when gallilei_trans = .T. . |
---|
1250 | |
---|
1251 | sums_vs2_ws_l(k,tn) = sums_vs2_ws_l(k,tn) & |
---|
1252 | + ( flux_n(k) & |
---|
1253 | * ( v_comp(k) - 2.0 * hom(k,1,2,0) ) & |
---|
1254 | / ( v_comp(k) - gv + 1.0E-20 ) & |
---|
1255 | + diss_n(k) & |
---|
1256 | * ABS( v_comp(k) - 2.0 * hom(k,1,2,0) ) & |
---|
1257 | / ( ABS( v_comp(k) - gv ) +1.0E-20 ) ) & |
---|
1258 | * weight_substep(intermediate_timestep_count) |
---|
1259 | |
---|
1260 | ENDDO |
---|
1261 | sums_vs2_ws_l(nzb_v_inner(j,i),tn) = sums_vs2_ws_l(nzb_v_inner(j,i)+1,tn) |
---|
1262 | |
---|
1263 | ! |
---|
1264 | !-- Vertical advection, degradation of order near surface and top. |
---|
1265 | !-- The fluxes flux_d and diss_d at the surface are 0. Due to reasons of |
---|
1266 | !-- statistical evaluation the top flux at the surface should be 0 |
---|
1267 | flux_t(nzb_v_inner(j,i)) = 0.0 !statistical reasons |
---|
1268 | diss_t(nzb_v_inner(j,i)) = 0.0 |
---|
1269 | ! |
---|
1270 | !-- 2nd order scheme (bottom) |
---|
1271 | k = nzb_v_inner(j,i)+1 |
---|
1272 | flux_d = flux_t(k-1) |
---|
1273 | diss_d = diss_t(k-1) |
---|
1274 | w_comp = w(k,j-1,i) + w(k,j,i) |
---|
1275 | flux_t(k) = w_comp * ( v(k+1,j,i) + v(k,j,i) ) * 0.25 |
---|
1276 | diss_t(k) = diss_2nd( v(k+2,j,i), v(k+1,j,i), v(k,j,i), 0.0, 0.0, & |
---|
1277 | w_comp, 0.25, ddzw(k) ) |
---|
1278 | |
---|
1279 | tend(k,j,i) = tend(k,j,i) - ( flux_t(k) + diss_t(k) & |
---|
1280 | - flux_d - diss_d ) * ddzw(k) |
---|
1281 | |
---|
1282 | ! |
---|
1283 | !-- WS3 as an intermediate step (bottom) |
---|
1284 | k = nzb_v_inner(j,i)+2 |
---|
1285 | flux_d = flux_t(k-1) |
---|
1286 | diss_d = diss_t(k-1) |
---|
1287 | w_comp = w(k,j-1,i) + w(k,j,i) |
---|
1288 | flux_t(k) = w_comp * ( & |
---|
1289 | 7.0 * ( v(k+1,j,i) + v(k,j,i) ) & |
---|
1290 | - ( v(k+2,j,i) + v(k-1,j,i) ) ) * adv_mom_3 |
---|
1291 | diss_t(k) = - ABS( w_comp ) * ( & |
---|
1292 | 3.0 * ( v(k+1,j,i) - v(k,j,i) ) & |
---|
1293 | - ( v(k+2,j,i) - v(k-1,j,i) ) ) * adv_mom_3 |
---|
1294 | |
---|
1295 | tend(k,j,i) = tend(k,j,i) - ( flux_t(k) + diss_t(k) & |
---|
1296 | - flux_d - diss_d ) * ddzw(k) |
---|
1297 | ! |
---|
1298 | !-- WS5 |
---|
1299 | DO k = nzb_v_inner(j,i)+3, nzt-2 |
---|
1300 | flux_d = flux_t(k-1) |
---|
1301 | diss_d = diss_t(k-1) |
---|
1302 | w_comp = w(k,j-1,i) + w(k,j,i) |
---|
1303 | flux_t(k) = w_comp * ( & |
---|
1304 | 37.0 * ( v(k+1,j,i) + v(k,j,i) ) & |
---|
1305 | - 8.0 * ( v(k+2,j,i) + v(k-1,j,i) ) & |
---|
1306 | + ( v(k+3,j,i) + v(k-2,j,i) ) ) * adv_mom_5 |
---|
1307 | diss_t(k) = - ABS( w_comp ) * ( & |
---|
1308 | 10.0 * ( v(k+1,j,i) - v(k,j,i) ) & |
---|
1309 | - 5.0 * ( v(k+2,j,i) - v(k-1,j,i) ) & |
---|
1310 | + ( v(k+3,j,i) - v(k-2,j,i) ) ) * adv_mom_5 |
---|
1311 | |
---|
1312 | tend(k,j,i) = tend(k,j,i) - ( flux_t(k) + diss_t(k) & |
---|
1313 | - flux_d - diss_d ) * ddzw(k) |
---|
1314 | ENDDO |
---|
1315 | ! |
---|
1316 | !-- WS3 as an intermediate step (top) |
---|
1317 | k = nzt - 1 |
---|
1318 | flux_d = flux_t(k-1) |
---|
1319 | diss_d = diss_t(k-1) |
---|
1320 | w_comp = w(k,j-1,i) + w(k,j,i) |
---|
1321 | flux_t(k) = w_comp * ( & |
---|
1322 | 7.0 * ( v(k+1,j,i) + v(k,j,i) ) & |
---|
1323 | - ( v(k+2,j,i) + v(k-1,j,i) ) ) * adv_mom_3 |
---|
1324 | diss_t(k) = - ABS( w_comp ) * ( & |
---|
1325 | 3.0 * ( v(k+1,j,i) - v(k,j,i) ) & |
---|
1326 | - ( v(k+2,j,i) - v(k-1,j,i) ) ) * adv_mom_3 |
---|
1327 | tend(k,j,i) = tend(k,j,i) - ( flux_t(k) + diss_t(k) & |
---|
1328 | - flux_d - diss_d ) * ddzw(k) |
---|
1329 | ! |
---|
1330 | !-- 2nd order scheme (top) |
---|
1331 | k = nzt |
---|
1332 | flux_d = flux_t(k-1) |
---|
1333 | diss_d = diss_t(k-1) |
---|
1334 | w_comp = w(k,j-1,i)+w(k,j,i) |
---|
1335 | flux_t(k) = w_comp * ( v(k+1,j,i) + v(k,j,i) ) * 0.25 |
---|
1336 | diss_t(k) = diss_2nd( v(k+1,j,i), v(k+1,j,i), v(k,j,i), v(k-1,j,i), & |
---|
1337 | v(k-2,j,i), w_comp, 0.25, ddzw(k) ) |
---|
1338 | |
---|
1339 | tend(k,j,i) = tend(k,j,i) - ( flux_t(k) + diss_t(k) & |
---|
1340 | - flux_d - diss_d ) * ddzw(k) |
---|
1341 | |
---|
1342 | DO k = nzb_v_inner(j,i), nzt |
---|
1343 | sums_wsvs_ws_l(k,tn) = sums_wsvs_ws_l(k,tn) & |
---|
1344 | + ( flux_t(k) + diss_t(k) ) & |
---|
1345 | * weight_substep(intermediate_timestep_count) |
---|
1346 | ENDDO |
---|
1347 | |
---|
1348 | END SUBROUTINE advec_v_ws_ij |
---|
1349 | |
---|
1350 | |
---|
1351 | |
---|
1352 | !------------------------------------------------------------------------------! |
---|
1353 | ! Advection of w-component - Call for grid point i,j |
---|
1354 | !------------------------------------------------------------------------------! |
---|
1355 | SUBROUTINE advec_w_ws_ij( i, j, i_omp, tn ) |
---|
1356 | |
---|
1357 | USE arrays_3d |
---|
1358 | USE constants |
---|
1359 | USE control_parameters |
---|
1360 | USE grid_variables |
---|
1361 | USE indices |
---|
1362 | USE statistics |
---|
1363 | |
---|
1364 | IMPLICIT NONE |
---|
1365 | |
---|
1366 | INTEGER :: i, i_omp, j, k, tn |
---|
1367 | LOGICAL :: degraded_l, degraded_s |
---|
1368 | REAL :: gu, gv, flux_d, diss_d, u_comp, v_comp, w_comp |
---|
1369 | REAL, DIMENSION(nzb:nzt+1) :: flux_t, diss_t, flux_r, diss_r, flux_n, & |
---|
1370 | diss_n |
---|
1371 | |
---|
1372 | degraded_l = .FALSE. |
---|
1373 | degraded_s = .FALSE. |
---|
1374 | |
---|
1375 | gu = 2.0 * u_gtrans |
---|
1376 | gv = 2.0 * v_gtrans |
---|
1377 | |
---|
1378 | |
---|
1379 | IF ( boundary_flags(j,i) /= 0 ) THEN |
---|
1380 | ! |
---|
1381 | !-- Degrade the order for Dirichlet bc. at the outflow boundary |
---|
1382 | SELECT CASE ( boundary_flags(j,i) ) |
---|
1383 | |
---|
1384 | CASE ( 1 ) |
---|
1385 | DO k = nzb_w_inner(j,i)+1, nzt |
---|
1386 | u_comp = u(k+1,j,i+1) + u(k,j,i+1) - gu |
---|
1387 | flux_r(k) = u_comp * ( & |
---|
1388 | 7.0 * ( w(k,j,i+1) + w(k,j,i) ) & |
---|
1389 | - ( w(k,j,i+2) + w(k,j,i-1) ) ) * adv_mom_3 |
---|
1390 | diss_r(k) = -ABS( u_comp ) * ( & |
---|
1391 | 3.0 * ( w(k,j,i+1) - w(k,j,i) ) & |
---|
1392 | - ( w(k,j,i+2) - w(k,j,i-1) ) ) * adv_mom_3 |
---|
1393 | ENDDO |
---|
1394 | |
---|
1395 | CASE ( 2 ) |
---|
1396 | DO k = nzb_w_inner(j,i)+1, nzt |
---|
1397 | u_comp = u(k+1,j,i+1) + u(k,j,i+1) - gu |
---|
1398 | flux_r(k) = u_comp * ( w(k,j,i+1) + w(k,j,i) ) * 0.25 |
---|
1399 | diss_r(k) = diss_2nd( w(k,j,i+1), w(k,j,i+1), w(k,j,i), & |
---|
1400 | w(k,j,i-1), w(k,j,i-2), u_comp, & |
---|
1401 | 0.25, ddx ) |
---|
1402 | ENDDO |
---|
1403 | |
---|
1404 | CASE ( 3 ) |
---|
1405 | DO k = nzb_w_inner(j,i)+1, nzt |
---|
1406 | v_comp = v(k+1,j+1,i) + v(k,j+1,i) - gv |
---|
1407 | flux_n(k) = v_comp * ( & |
---|
1408 | 7.0 * ( w(k,j+1,i) + w(k,j,i) ) & |
---|
1409 | - ( w(k,j+2,i) + w(k,j-1,i) ) ) * adv_mom_3 |
---|
1410 | diss_n(k) = -ABS( v_comp ) * ( & |
---|
1411 | 3.0 * ( w(k,j+1,i) - w(k,j,i) ) & |
---|
1412 | - ( w(k,j+2,i) - w(k,j-1,i) ) ) * adv_mom_3 |
---|
1413 | ENDDO |
---|
1414 | |
---|
1415 | CASE ( 4 ) |
---|
1416 | DO k = nzb_w_inner(j,i)+1, nzt |
---|
1417 | v_comp = v(k+1,j+1,i) + v(k,j+1,i) - gv |
---|
1418 | flux_n(k) = v_comp * ( w(k,j+1,i) + w(k,j,i) ) * 0.25 |
---|
1419 | diss_n(k) = diss_2nd( w(k,j+1,i), w(k,j+1,i), w(k,j,i), & |
---|
1420 | w(k,j-1,i), w(k,j-2,i), v_comp, & |
---|
1421 | 0.25, ddy ) |
---|
1422 | ENDDO |
---|
1423 | |
---|
1424 | CASE ( 5 ) |
---|
1425 | DO k = nzb_w_inner(j,i)+1, nzt |
---|
1426 | u_comp = u(k+1,j,i+1) + u(k,j,i+1) - gu |
---|
1427 | flux_r(k) = u_comp * ( & |
---|
1428 | 7.0 * ( w(k,j,i+1) + w(k,j,i) ) & |
---|
1429 | - ( w(k,j,i+2) + w(k,j,i-1) ) ) * adv_mom_3 |
---|
1430 | diss_r(k) = - ABS( u_comp ) * ( & |
---|
1431 | 3.0 * ( w(k,j,i+1) - w(k,j,i) ) & |
---|
1432 | - ( w(k,j,i+2) - w(k,j,i-1) ) ) * adv_mom_3 |
---|
1433 | ENDDO |
---|
1434 | |
---|
1435 | CASE ( 6 ) |
---|
1436 | DO k = nzb_w_inner(j,i)+1, nzt |
---|
1437 | ! |
---|
1438 | !-- Compute leftside fluxes for the left boundary of PE domain |
---|
1439 | u_comp = u(k+1,j,i+1) + u(k,j,i+1) - gu |
---|
1440 | flux_r(k) = u_comp *( & |
---|
1441 | 7.0 * ( w(k,j,i+1) + w(k,j,i) ) & |
---|
1442 | - ( w(k,j,i+2) + w(k,j,i-1) ) ) * adv_mom_3 |
---|
1443 | diss_r(k) = - ABS( u_comp ) * ( & |
---|
1444 | 3.0 * ( w(k,j,i+1) - w(k,j,i) ) & |
---|
1445 | - ( w(k,j,i+2) - w(k,j,i-1) ) ) * adv_mom_3 |
---|
1446 | |
---|
1447 | u_comp = u(k+1,j,i) + u(k,j,i) - gu |
---|
1448 | flux_l_w(k,j,tn) = u_comp * ( w(k,j,i) + w(k,j,i-1) ) * 0.25 |
---|
1449 | diss_l_w(k,j,tn) = diss_2nd( w(k,j,i+2), w(k,j,i+1), w(k,j,i), & |
---|
1450 | w(k,j,i-1), w(k,j,i-1), u_comp, & |
---|
1451 | 0.25, ddx ) |
---|
1452 | ENDDO |
---|
1453 | degraded_l = .TRUE. |
---|
1454 | |
---|
1455 | CASE ( 7 ) |
---|
1456 | DO k = nzb_w_inner(j,i)+1, nzt |
---|
1457 | v_comp = v(k+1,j+1,i) + v(k,j+1,i) - gv |
---|
1458 | flux_n(k) = v_comp *( & |
---|
1459 | 7.0 * ( w(k,j+1,i) + w(k,j,i) ) & |
---|
1460 | - ( w(k,j+2,i) + w(k,j-1,i) ) ) * adv_mom_3 |
---|
1461 | diss_n(k) = - ABS( v_comp ) * ( & |
---|
1462 | 3.0 * ( w(k,j+1,i) - w(k,j,i) ) & |
---|
1463 | - ( w(k,j+2,i) - w(k,j-1,i) ) ) * adv_mom_3 |
---|
1464 | ENDDO |
---|
1465 | |
---|
1466 | CASE ( 8 ) |
---|
1467 | DO k = nzb_w_inner(j,i)+1, nzt |
---|
1468 | v_comp = v(k+1,j+1,i) + v(k,j+1,i) - gv |
---|
1469 | flux_n(k) = v_comp * ( & |
---|
1470 | 7.0 * ( w(k,j+1,i) + w(k,j,i) ) & |
---|
1471 | - ( w(k,j+2,i) + w(k,j-1,i) ) ) * adv_mom_3 |
---|
1472 | diss_n(k) = - ABS( v_comp ) * ( & |
---|
1473 | 3.0 * ( w(k,j+1,i) - w(k,j,i) ) & |
---|
1474 | - ( w(k,j+2,i) - w(k,j-1,i) ) ) * adv_mom_3 |
---|
1475 | ! |
---|
1476 | !-- Compute southside fluxes for the south boundary of PE domain |
---|
1477 | v_comp = v(k+1,j,i) + v(k,j,i) - gv |
---|
1478 | flux_s_w(k,tn) = v_comp * ( w(k,j,i) + w(k,j-1,i) ) * 0.25 |
---|
1479 | diss_s_w(k,tn) = diss_2nd( w(k,j+2,i), w(k,j+1,i), w(k,j,i), & |
---|
1480 | w(k,j-1,i), w(k,j-1,i), v_comp, & |
---|
1481 | 0.25, ddy ) |
---|
1482 | ENDDO |
---|
1483 | degraded_s = .TRUE. |
---|
1484 | |
---|
1485 | CASE DEFAULT |
---|
1486 | |
---|
1487 | END SELECT |
---|
1488 | ! |
---|
1489 | !-- Compute the crosswise 5th order fluxes at the outflow |
---|
1490 | IF ( boundary_flags(j,i) == 1 .OR. boundary_flags(j,i) == 2 .OR. & |
---|
1491 | boundary_flags(j,i) == 5 .OR. boundary_flags(j,i) == 6 ) THEN |
---|
1492 | |
---|
1493 | DO k = nzb_w_inner(j,i)+1, nzt |
---|
1494 | v_comp = v(k+1,j+1,i) + v(k,j+1,i) - gv |
---|
1495 | flux_n(k) = v_comp * ( & |
---|
1496 | 37.0 * ( w(k,j+1,i) + w(k,j,i) ) & |
---|
1497 | - 8.0 * ( w(k,j+2,i) + w(k,j-1,i) ) & |
---|
1498 | + ( w(k,j+3,i) + w(k,j-2,i) ) ) * adv_mom_5 |
---|
1499 | diss_n(k) = - ABS( v_comp ) * ( & |
---|
1500 | 10.0 * ( w(k,j+1,i) - w(k,j,i) ) & |
---|
1501 | - 5.0 * ( w(k,j+2,i) - w(k,j-1,i) ) & |
---|
1502 | + ( w(k,j+3,i) - w(k,j-2,i) ) ) * adv_mom_5 |
---|
1503 | ENDDO |
---|
1504 | |
---|
1505 | ELSE |
---|
1506 | |
---|
1507 | DO k = nzb_w_inner(j,i)+1, nzt |
---|
1508 | u_comp = u(k+1,j,i+1) + u(k,j,i+1) - gu |
---|
1509 | flux_r(k) = u_comp * ( & |
---|
1510 | 37.0 * ( w(k,j,i+1) + w(k,j,i) ) & |
---|
1511 | - 8.0 * ( w(k,j,i+2) + w(k,j,i-1) ) & |
---|
1512 | + ( w(k,j,i+3) + w(k,j,i-2) ) ) * adv_mom_5 |
---|
1513 | diss_r(k) = - ABS( u_comp ) * ( & |
---|
1514 | 10.0 * ( w(k,j,i+1) - w(k,j,i) ) & |
---|
1515 | - 5.0 * ( w(k,j,i+2) - w(k,j,i-1) ) & |
---|
1516 | + ( w(k,j,i+3) - w(k,j,i-2) ) ) * adv_mom_5 |
---|
1517 | ENDDO |
---|
1518 | |
---|
1519 | ENDIF |
---|
1520 | |
---|
1521 | ELSE |
---|
1522 | ! |
---|
1523 | !-- Compute the fifth order fluxes for the interior of PE domain. |
---|
1524 | DO k = nzb_w_inner(j,i)+1, nzt |
---|
1525 | u_comp = u(k+1,j,i+1) + u(k,j,i+1) - gu |
---|
1526 | flux_r(k) = u_comp * ( & |
---|
1527 | 37.0 * ( w(k,j,i+1) + w(k,j,i) ) & |
---|
1528 | - 8.0 * ( w(k,j,i+2) + w(k,j,i-1) ) & |
---|
1529 | + ( w(k,j,i+3) + w(k,j,i-2) ) ) * adv_mom_5 |
---|
1530 | diss_r(k) = - ABS( u_comp ) * ( & |
---|
1531 | 10.0 * ( w(k,j,i+1) - w(k,j,i) ) & |
---|
1532 | - 5.0 * ( w(k,j,i+2) - w(k,j,i-1) ) & |
---|
1533 | + ( w(k,j,i+3) - w(k,j,i-2) ) ) * adv_mom_5 |
---|
1534 | |
---|
1535 | v_comp = v(k+1,j+1,i) + v(k,j+1,i) - gv |
---|
1536 | flux_n(k) = v_comp * ( & |
---|
1537 | 37.0 * ( w(k,j+1,i) + w(k,j,i) ) & |
---|
1538 | - 8.0 * ( w(k,j+2,i) + w(k,j-1,i) ) & |
---|
1539 | + ( w(k,j+3,i) + w(k,j-2,i) ) ) * adv_mom_5 |
---|
1540 | diss_n(k) = - ABS( v_comp ) * ( & |
---|
1541 | 10.0 * ( w(k,j+1,i) - w(k,j,i) ) & |
---|
1542 | - 5.0 * ( w(k,j+2,i) - w(k,j-1,i) ) & |
---|
1543 | + ( w(k,j+3,i) - w(k,j-2,i) ) ) * adv_mom_5 |
---|
1544 | ENDDO |
---|
1545 | |
---|
1546 | ENDIF |
---|
1547 | ! |
---|
1548 | !-- Compute left- and southside fluxes for the respective boundary |
---|
1549 | IF ( j == nys .AND. .NOT. degraded_s ) THEN |
---|
1550 | |
---|
1551 | DO k = nzb_w_inner(j,i)+1, nzt |
---|
1552 | v_comp = v(k+1,j,i) + v(k,j,i) - gv |
---|
1553 | flux_s_w(k,tn) = v_comp * ( & |
---|
1554 | 37.0 * ( w(k,j,i) + w(k,j-1,i) ) & |
---|
1555 | - 8.0 * ( w(k,j+1,i) +w(k,j-2,i) ) & |
---|
1556 | + ( w(k,j+2,i) + w(k,j-3,i) ) ) * adv_mom_5 |
---|
1557 | diss_s_w(k,tn) = - ABS( v_comp ) * ( & |
---|
1558 | 10.0 * ( w(k,j,i) - w(k,j-1,i) ) & |
---|
1559 | - 5.0 * ( w(k,j+1,i) - w(k,j-2,i) ) & |
---|
1560 | + ( w(k,j+2,i) - w(k,j-3,i) ) ) * adv_mom_5 |
---|
1561 | ENDDO |
---|
1562 | |
---|
1563 | ENDIF |
---|
1564 | |
---|
1565 | IF ( i == i_omp .AND. .NOT. degraded_l ) THEN |
---|
1566 | |
---|
1567 | DO k = nzb_w_inner(j,i)+1, nzt |
---|
1568 | u_comp = u(k+1,j,i) + u(k,j,i) - gu |
---|
1569 | flux_l_w(k,j,tn) = u_comp * ( & |
---|
1570 | 37.0 * ( w(k,j,i) + w(k,j,i-1) ) & |
---|
1571 | - 8.0 * ( w(k,j,i+1) + w(k,j,i-2) ) & |
---|
1572 | + ( w(k,j,i+2) + w(k,j,i-3) ) ) * adv_mom_5 |
---|
1573 | diss_l_w(k,j,tn) = - ABS( u_comp ) * ( & |
---|
1574 | 10.0 * ( w(k,j,i) - w(k,j,i-1) ) & |
---|
1575 | - 5.0 * ( w(k,j,i+1) - w(k,j,i-2) ) & |
---|
1576 | + ( w(k,j,i+2) - w(k,j,i-3) ) ) * adv_mom_5 |
---|
1577 | ENDDO |
---|
1578 | |
---|
1579 | ENDIF |
---|
1580 | |
---|
1581 | ! |
---|
1582 | !-- Now compute the tendency terms for the horizontal parts. |
---|
1583 | DO k = nzb_w_inner(j,i)+1, nzt |
---|
1584 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
1585 | ( flux_r(k) + diss_r(k) & |
---|
1586 | - flux_l_w(k,j,tn) - diss_l_w(k,j,tn) ) * ddx & |
---|
1587 | + ( flux_n(k) + diss_n(k) & |
---|
1588 | - flux_s_w(k,tn) - diss_s_w(k,tn) ) * ddy ) |
---|
1589 | |
---|
1590 | flux_l_w(k,j,tn) = flux_r(k) |
---|
1591 | diss_l_w(k,j,tn) = diss_r(k) |
---|
1592 | flux_s_w(k,tn) = flux_n(k) |
---|
1593 | diss_s_w(k,tn) = diss_n(k) |
---|
1594 | ENDDO |
---|
1595 | |
---|
1596 | ! |
---|
1597 | !-- Vertical advection, degradation of order near surface and top. |
---|
1598 | !-- The fluxes flux_d and diss_d at the surface are 0. Due to reasons of |
---|
1599 | !-- statistical evaluation the top flux at the surface should be 0 |
---|
1600 | flux_t(nzb_w_inner(j,i)) = 0.0 !statistical reasons |
---|
1601 | diss_t(nzb_w_inner(j,i)) = 0.0 |
---|
1602 | ! |
---|
1603 | !-- 2nd order scheme (bottom) |
---|
1604 | k = nzb_w_inner(j,i)+1 |
---|
1605 | flux_d = flux_t(k-1) |
---|
1606 | diss_d = diss_t(k-1) |
---|
1607 | w_comp = w(k+1,j,i) + w(k,j,i) |
---|
1608 | flux_t(k) = w_comp * ( w(k+1,j,i) + w(k,j,i) ) * 0.25 |
---|
1609 | diss_t(k) = diss_2nd( w(k+2,j,i), w(k+1,j,i), w(k,j,i), 0.0, 0.0, & |
---|
1610 | w_comp, 0.25, ddzu(k+1) ) |
---|
1611 | |
---|
1612 | tend(k,j,i) = tend(k,j,i) - ( flux_t(k) + diss_t(k) & |
---|
1613 | - flux_d - diss_d ) * ddzu(k+1) |
---|
1614 | ! |
---|
1615 | !-- WS3 as an intermediate step (bottom) |
---|
1616 | k = nzb_w_inner(j,i)+2 |
---|
1617 | flux_d = flux_t(k-1) |
---|
1618 | diss_d = diss_t(k-1) |
---|
1619 | w_comp = w(k+1,j,i) + w(k,j,i) |
---|
1620 | flux_t(k) = w_comp * ( & |
---|
1621 | 7.0 * ( w(k+1,j,i) + w(k,j,i) ) & |
---|
1622 | - ( w(k+2,j,i) + w(k-1,j,i) ) ) * adv_mom_3 |
---|
1623 | diss_t(k) = - ABS( w_comp ) * ( & |
---|
1624 | 3.0 * ( w(k+1,j,i) - w(k,j,i) ) & |
---|
1625 | - ( w(k+2,j,i) - w(k-1,j,i) ) ) * adv_mom_3 |
---|
1626 | |
---|
1627 | tend(k,j,i) = tend(k,j,i) - ( flux_t(k) + diss_t(k) & |
---|
1628 | - flux_d - diss_d ) * ddzu(k+1) |
---|
1629 | ! |
---|
1630 | !-- WS5 |
---|
1631 | DO k = nzb_w_inner(j,i)+3, nzt-2 |
---|
1632 | flux_d = flux_t(k-1) |
---|
1633 | diss_d = diss_t(k-1) |
---|
1634 | w_comp = w(k+1,j,i) + w(k,j,i) |
---|
1635 | flux_t(k) = w_comp * ( & |
---|
1636 | 37.0 * ( w(k+1,j,i) + w(k,j,i) ) & |
---|
1637 | - 8.0 * ( w(k+2,j,i) + w(k-1,j,i) ) & |
---|
1638 | + ( w(k+3,j,i) + w(k-2,j,i) ) ) * adv_mom_5 |
---|
1639 | diss_t(k) = - ABS( w_comp ) * ( & |
---|
1640 | 10.0 * ( w(k+1,j,i) - w(k,j,i) ) & |
---|
1641 | - 5.0 * ( w(k+2,j,i) - w(k-1,j,i) ) & |
---|
1642 | + ( w(k+3,j,i) - w(k-2,j,i) ) ) * adv_mom_5 |
---|
1643 | |
---|
1644 | tend(k,j,i) = tend(k,j,i) - ( flux_t(k) + diss_t(k) & |
---|
1645 | - flux_d - diss_d ) * ddzu(k+1) |
---|
1646 | ENDDO |
---|
1647 | !-- WS3 as an intermediate step (top) |
---|
1648 | k = nzt - 1 |
---|
1649 | flux_d = flux_t(k-1) |
---|
1650 | diss_d = diss_t(k-1) |
---|
1651 | w_comp = w(k+1,j,i) + w(k,j,i) |
---|
1652 | flux_t(k) = w_comp * ( & |
---|
1653 | 7.0 * ( w(k+1,j,i) + w(k,j,i) ) & |
---|
1654 | - ( w(k+2,j,i) + w(k-1,j,i) ) ) *adv_mom_3 |
---|
1655 | diss_t(k) = - ABS( w_comp ) * ( & |
---|
1656 | 3.0 * ( w(k+1,j,i) - w(k,j,i) ) & |
---|
1657 | - ( w(k+2,j,i) - w(k-1,j,i) ) ) * adv_mom_3 |
---|
1658 | |
---|
1659 | tend(k,j,i) = tend(k,j,i) - ( flux_t(k) + diss_t(k) & |
---|
1660 | - flux_d - diss_d ) * ddzu(k+1) |
---|
1661 | ! |
---|
1662 | !-- 2nd order scheme (top) |
---|
1663 | k = nzt |
---|
1664 | flux_d = flux_t(k-1) |
---|
1665 | diss_d = diss_t(k-1) |
---|
1666 | w_comp = w(k+1,j,i) + w(k,j,i) |
---|
1667 | flux_t(k) = w_comp * ( w(k+1,j,i) + w(k,j,i) ) * 0.25 |
---|
1668 | diss_t(k) = diss_2nd( w(k+1,j,i), w(k+1,j,i), w(k,j,i), w(k-1,j,i), & |
---|
1669 | w(k-2,j,i), w_comp, 0.25, ddzu(k+1) ) |
---|
1670 | |
---|
1671 | tend(k,j,i) = tend(k,j,i) - ( flux_t(k) + diss_t(k) & |
---|
1672 | - flux_d - diss_d ) * ddzu(k+1) |
---|
1673 | |
---|
1674 | DO k = nzb_w_inner(j,i), nzt |
---|
1675 | sums_ws2_ws_l(k,tn) = sums_ws2_ws_l(k,tn) & |
---|
1676 | + ( flux_t(k) + diss_t(k) ) & |
---|
1677 | * weight_substep(intermediate_timestep_count) |
---|
1678 | ENDDO |
---|
1679 | |
---|
1680 | END SUBROUTINE advec_w_ws_ij |
---|
1681 | |
---|
1682 | |
---|
1683 | !------------------------------------------------------------------------------! |
---|
1684 | ! Scalar advection - Call for all grid points |
---|
1685 | !------------------------------------------------------------------------------! |
---|
1686 | SUBROUTINE advec_s_ws( sk, sk_char ) |
---|
1687 | |
---|
1688 | USE arrays_3d |
---|
1689 | USE constants |
---|
1690 | USE control_parameters |
---|
1691 | USE grid_variables |
---|
1692 | USE indices |
---|
1693 | USE statistics |
---|
1694 | |
---|
1695 | IMPLICIT NONE |
---|
1696 | |
---|
1697 | INTEGER :: i, j, k, tn = 0 |
---|
1698 | REAL, DIMENSION(:,:,:), POINTER :: sk |
---|
1699 | REAL :: flux_d, diss_d, u_comp, v_comp |
---|
1700 | REAL, DIMENSION(nzb:nzt+1) :: flux_r, diss_r, flux_n, diss_n |
---|
1701 | REAL, DIMENSION(nzb+1:nzt) :: swap_flux_y_local, swap_diss_y_local, & |
---|
1702 | flux_t, diss_t |
---|
1703 | REAL, DIMENSION(nzb+1:nzt,nys:nyn) :: swap_flux_x_local, & |
---|
1704 | swap_diss_x_local |
---|
1705 | CHARACTER (LEN = *), INTENT(IN) :: sk_char |
---|
1706 | |
---|
1707 | ! |
---|
1708 | !-- Compute the fluxes for the whole left boundary of the processor domain. |
---|
1709 | i = nxl |
---|
1710 | DO j = nys, nyn |
---|
1711 | IF ( boundary_flags(j,i) == 6 ) THEN |
---|
1712 | |
---|
1713 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
1714 | u_comp = u(k,j,i) - u_gtrans |
---|
1715 | swap_flux_x_local(k,j) = u_comp * ( & |
---|
1716 | sk(k,j,i) + sk(k,j,i-1)) * 0.5 |
---|
1717 | swap_diss_x_local(k,j) = diss_2nd( sk(k,j,i+2), sk(k,j,i+1), & |
---|
1718 | sk(k,j,i), sk(k,j,i-1), & |
---|
1719 | sk(k,j,i-1), u_comp, & |
---|
1720 | 0.5, ddx ) |
---|
1721 | ENDDO |
---|
1722 | |
---|
1723 | ELSE |
---|
1724 | |
---|
1725 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
1726 | u_comp = u(k,j,i) - u_gtrans |
---|
1727 | swap_flux_x_local(k,j) = u_comp*( & |
---|
1728 | 37.0 * ( sk(k,j,i)+sk(k,j,i-1) ) & |
---|
1729 | - 8.0 * ( sk(k,j,i+1) + sk(k,j,i-2) ) & |
---|
1730 | + ( sk(k,j,i+2) + sk(k,j,i-3) ) )& |
---|
1731 | * adv_sca_5 |
---|
1732 | swap_diss_x_local(k,j) = - ABS( u_comp ) * ( & |
---|
1733 | 10.0 * (sk(k,j,i) - sk(k,j,i-1) ) & |
---|
1734 | - 5.0 * ( sk(k,j,i+1) - sk(k,j,i-2) ) & |
---|
1735 | + ( sk(k,j,i+2) - sk(k,j,i-3) ) )& |
---|
1736 | * adv_sca_5 |
---|
1737 | ENDDO |
---|
1738 | ENDIF |
---|
1739 | ENDDO |
---|
1740 | ! |
---|
1741 | !-- The following loop computes the horizontal fluxes for the interior of the |
---|
1742 | !-- processor domain plus south boundary points. Furthermore tendency terms |
---|
1743 | !-- are computed. |
---|
1744 | DO i = nxl, nxr |
---|
1745 | j = nys |
---|
1746 | IF ( boundary_flags(j,i) == 8 ) THEN |
---|
1747 | |
---|
1748 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
1749 | v_comp = v(k,j,i) - v_gtrans |
---|
1750 | swap_flux_y_local(k) = v_comp * & |
---|
1751 | ( sk(k,j,i) + sk(k,j-1,i) ) * 0.5 |
---|
1752 | swap_diss_y_local(k) = diss_2nd( sk(k,j+2,i), sk(k,j+1,i), & |
---|
1753 | sk(k,j,i), sk(k,j-1,i), & |
---|
1754 | sk(k,j-1,i), v_comp, 0.5, ddy ) |
---|
1755 | ENDDO |
---|
1756 | |
---|
1757 | ELSE |
---|
1758 | |
---|
1759 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
1760 | v_comp = v(k,j,i) - v_gtrans |
---|
1761 | swap_flux_y_local(k) = v_comp * ( & |
---|
1762 | 37.0 * ( sk(k,j,i) + sk(k,j-1,i) ) & |
---|
1763 | - 8.0 * ( sk(k,j+1,i) + sk(k,j-2,i) ) & |
---|
1764 | + ( sk(k,j+2,i) + sk(k,j-3,i) ) ) & |
---|
1765 | * adv_sca_5 |
---|
1766 | swap_diss_y_local(k)= - ABS( v_comp ) * ( & |
---|
1767 | 10.0 * ( sk(k,j,i) - sk(k,j-1,i) ) & |
---|
1768 | - 5.0 * ( sk(k,j+1,i) - sk(k,j-2,i) ) & |
---|
1769 | + ( sk(k,j+2,i)-sk(k,j-3,i) ) ) & |
---|
1770 | * adv_sca_5 |
---|
1771 | ENDDO |
---|
1772 | |
---|
1773 | ENDIF |
---|
1774 | |
---|
1775 | DO j = nys, nyn |
---|
1776 | IF ( boundary_flags(j,i) /= 0 ) THEN |
---|
1777 | ! |
---|
1778 | !-- Degrade the order for Dirichlet bc. at the outflow boundary |
---|
1779 | SELECT CASE ( boundary_flags(j,i) ) |
---|
1780 | |
---|
1781 | CASE ( 1 ) |
---|
1782 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
1783 | u_comp = u(k,j,i+1) - u_gtrans |
---|
1784 | flux_r(k) = u_comp * ( & |
---|
1785 | 7.0 * ( sk(k,j,i+1) + sk(k,j,i) ) & |
---|
1786 | - ( sk(k,j,i+2) + sk(k,j,i-1) ) ) & |
---|
1787 | * adv_sca_3 |
---|
1788 | diss_r(k) = - ABS( u_comp ) * ( & |
---|
1789 | 3.0 * ( sk(k,j,i+1) - sk(k,j,i) ) & |
---|
1790 | - ( sk(k,j,i+2) - sk(k,j,i-1) ) ) & |
---|
1791 | * adv_sca_3 |
---|
1792 | ENDDO |
---|
1793 | |
---|
1794 | CASE ( 2 ) |
---|
1795 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
1796 | u_comp = u(k,j,i+1) - u_gtrans |
---|
1797 | flux_r(k) = u_comp * ( sk(k,j,i+1) + sk(k,j,i) ) * 0.5 |
---|
1798 | diss_r(k) = diss_2nd( sk(k,j,i+1), sk(k,j,i+1), & |
---|
1799 | sk(k,j,i), sk(k,j,i-1), & |
---|
1800 | sk(k,j,i-2), u_comp, 0.5, ddx ) |
---|
1801 | ENDDO |
---|
1802 | |
---|
1803 | CASE ( 3 ) |
---|
1804 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
1805 | v_comp = v(k,j+1,i) - v_gtrans |
---|
1806 | flux_n(k) = v_comp * ( & |
---|
1807 | 7.0 * ( sk(k,j+1,i) + sk(k,j,i) ) & |
---|
1808 | - ( sk(k,j+2,i) + sk(k,j-1,i) ) ) & |
---|
1809 | * adv_sca_3 |
---|
1810 | diss_n(k) = - ABS( v_comp ) * ( & |
---|
1811 | 3.0 * ( sk(k,j+1,i) - sk(k,j,i) ) & |
---|
1812 | - ( sk(k,j+2,i) - sk(k,j-1,i) ) ) & |
---|
1813 | * adv_sca_3 |
---|
1814 | ENDDO |
---|
1815 | |
---|
1816 | CASE ( 4 ) |
---|
1817 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
1818 | v_comp = v(k,j+1,i) - v_gtrans |
---|
1819 | flux_n(k) = v_comp * ( sk(k,j+1,i) + sk(k,j,i) ) * 0.5 |
---|
1820 | diss_n(k) = diss_2nd( sk(k,j+1,i), sk(k,j+1,i), & |
---|
1821 | sk(k,j,i), sk(k,j-1,i), & |
---|
1822 | sk(k,j-2,i), v_comp, 0.5, ddy ) |
---|
1823 | ENDDO |
---|
1824 | |
---|
1825 | CASE ( 5 ) |
---|
1826 | DO k = nzb_w_inner(j,i)+1, nzt |
---|
1827 | u_comp = u(k,j,i+1) - u_gtrans |
---|
1828 | flux_r(k) = u_comp * ( & |
---|
1829 | 7.0 * ( sk(k,j,i+1) + sk(k,j,i) ) & |
---|
1830 | - ( sk(k,j,i+2) + sk(k,j,i-1) ) ) & |
---|
1831 | * adv_sca_3 |
---|
1832 | diss_r(k) = - ABS( u_comp ) * ( & |
---|
1833 | 3.0 * ( sk(k,j,i+1) - sk(k,j,i) ) & |
---|
1834 | - ( sk(k,j,i+2) - sk(k,j,i-1) ) ) & |
---|
1835 | * adv_sca_3 |
---|
1836 | ENDDO |
---|
1837 | |
---|
1838 | CASE ( 6 ) |
---|
1839 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
1840 | u_comp = u(k,j,i+1) - u_gtrans |
---|
1841 | flux_r(k) = u_comp * ( & |
---|
1842 | 7.0 * ( sk(k,j,i+1) + sk(k,j,i) ) & |
---|
1843 | - ( sk(k,j,i+2) + sk(k,j,i-1) ) ) & |
---|
1844 | * adv_sca_3 |
---|
1845 | diss_r(k) = - ABS( u_comp ) * ( & |
---|
1846 | 3.0 * ( sk(k,j,i+1) - sk(k,j,i) ) & |
---|
1847 | - ( sk(k,j,i+2) - sk(k,j,i-1) ) ) & |
---|
1848 | * adv_sca_3 |
---|
1849 | ENDDO |
---|
1850 | |
---|
1851 | CASE ( 7 ) |
---|
1852 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
1853 | v_comp = v(k,j+1,i) - v_gtrans |
---|
1854 | flux_n(k) = v_comp * ( & |
---|
1855 | 7.0 * ( sk(k,j+1,i) + sk(k,j,i) ) & |
---|
1856 | - ( sk(k,j+2,i) + sk(k,j-1,i) ) ) & |
---|
1857 | * adv_sca_3 |
---|
1858 | diss_n(k) = - ABS( v_comp ) * ( & |
---|
1859 | 3.0 * ( sk(k,j+1,i) - sk(k,j,i) ) & |
---|
1860 | - ( sk(k,j+2,i) - sk(k,j-1,i) ) ) & |
---|
1861 | * adv_sca_3 |
---|
1862 | ENDDO |
---|
1863 | |
---|
1864 | CASE ( 8 ) |
---|
1865 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
1866 | v_comp = v(k,j+1,i) - v_gtrans |
---|
1867 | flux_n(k) = v_comp * ( & |
---|
1868 | 7.0 * ( sk(k,j+1,i) + sk(k,j,i) ) & |
---|
1869 | - ( sk(k,j+2,i) + sk(k,j-1,i) ) ) & |
---|
1870 | * adv_sca_3 |
---|
1871 | diss_n(k) = - ABS( v_comp ) * ( & |
---|
1872 | 3.0 * ( sk(k,j+1,i) - sk(k,j,i) ) & |
---|
1873 | - ( sk(k,j+2,i) - sk(k,j-1,i) ) ) & |
---|
1874 | * adv_sca_3 |
---|
1875 | ENDDO |
---|
1876 | |
---|
1877 | CASE DEFAULT |
---|
1878 | |
---|
1879 | END SELECT |
---|
1880 | |
---|
1881 | IF ( boundary_flags(j,i) == 1 .OR. boundary_flags(j,i) == 2 .OR.& |
---|
1882 | boundary_flags(j,i) == 5 .OR. boundary_flags(j,i) == 6 ) & |
---|
1883 | THEN |
---|
1884 | |
---|
1885 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
1886 | v_comp = v(k,j+1,i) - v_gtrans |
---|
1887 | flux_n(k) = v_comp * ( & |
---|
1888 | 37.0 * ( sk(k,j+1,i) + sk(k,j,i) ) & |
---|
1889 | - 8.0 * ( sk(k,j+2,i) + sk(k,j-1,i) ) & |
---|
1890 | + ( sk(k,j+3,i) + sk(k,j-2,i) ) ) & |
---|
1891 | * adv_sca_5 |
---|
1892 | diss_n(k) = - ABS( v_comp ) * ( & |
---|
1893 | 10.0 * ( sk(k,j+1,i) - sk(k,j,i) ) & |
---|
1894 | - 5.0 * ( sk(k,j+2,i) - sk(k,j-1,i) ) & |
---|
1895 | + ( sk(k,j+3,i) - sk(k,j-2,i) ) ) & |
---|
1896 | * adv_sca_5 |
---|
1897 | ENDDO |
---|
1898 | |
---|
1899 | ELSE |
---|
1900 | |
---|
1901 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
1902 | u_comp = u(k,j,i+1) - u_gtrans |
---|
1903 | flux_r(k) = u_comp * ( & |
---|
1904 | 37.0 * ( sk(k,j,i+1) + sk(k,j,i) ) & |
---|
1905 | - 8.0 * ( sk(k,j,i+2) + sk(k,j,i-1) ) & |
---|
1906 | + ( sk(k,j,i+3) + sk(k,j,i-2) ) ) & |
---|
1907 | * adv_sca_5 |
---|
1908 | diss_r(k) = - ABS( u_comp ) * ( & |
---|
1909 | 10.0 * ( sk(k,j,i+1) - sk(k,j,i) ) & |
---|
1910 | - 5.0 * ( sk(k,j,i+2) - sk(k,j,i-1) ) & |
---|
1911 | + ( sk(k,j,i+3) - sk(k,j,i-2) ) ) & |
---|
1912 | * adv_sca_5 |
---|
1913 | ENDDO |
---|
1914 | |
---|
1915 | ENDIF |
---|
1916 | |
---|
1917 | ELSE |
---|
1918 | |
---|
1919 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
1920 | u_comp = u(k,j,i+1) - u_gtrans |
---|
1921 | flux_r(k) = u_comp * ( & |
---|
1922 | 37.0 * ( sk(k,j,i+1) + sk(k,j,i) ) & |
---|
1923 | - 8.0 * ( sk(k,j,i+2) + sk(k,j,i-1) ) & |
---|
1924 | + ( sk(k,j,i+3) + sk(k,j,i-2) ) ) & |
---|
1925 | * adv_sca_5 |
---|
1926 | diss_r(k) = - ABS( u_comp ) * ( & |
---|
1927 | 10.0 * ( sk(k,j,i+1) - sk(k,j,i) ) & |
---|
1928 | - 5.0 * ( sk(k,j,i+2) - sk(k,j,i-1) ) & |
---|
1929 | + ( sk(k,j,i+3) - sk(k,j,i-2) ) ) & |
---|
1930 | * adv_sca_5 |
---|
1931 | |
---|
1932 | v_comp = v(k,j+1,i) - v_gtrans |
---|
1933 | flux_n(k) = v_comp * ( & |
---|
1934 | 37.0 * ( sk(k,j+1,i) + sk(k,j,i) ) & |
---|
1935 | - 8.0 * ( sk(k,j+2,i) + sk(k,j-1,i) ) & |
---|
1936 | + ( sk(k,j+3,i) + sk(k,j-2,i) ) ) & |
---|
1937 | * adv_sca_5 |
---|
1938 | diss_n(k) = - ABS( v_comp ) * ( & |
---|
1939 | 10.0 * ( sk(k,j+1,i) - sk(k,j,i) ) & |
---|
1940 | - 5.0 * ( sk(k,j+2,i) - sk(k,j-1,i) ) & |
---|
1941 | + ( sk(k,j+3,i) - sk(k,j-2,i) ) ) & |
---|
1942 | * adv_sca_5 |
---|
1943 | ENDDO |
---|
1944 | |
---|
1945 | ENDIF |
---|
1946 | |
---|
1947 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
1948 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
1949 | ( flux_r(k) + diss_r(k) & |
---|
1950 | - swap_flux_x_local(k,j) - swap_diss_x_local(k,j) ) * ddx & |
---|
1951 | + ( flux_n(k) + diss_n(k) & |
---|
1952 | - swap_flux_y_local(k) - swap_diss_y_local(k) ) * ddy) |
---|
1953 | |
---|
1954 | swap_flux_x_local(k,j) = flux_r(k) |
---|
1955 | swap_diss_x_local(k,j) = diss_r(k) |
---|
1956 | swap_flux_y_local(k) = flux_n(k) |
---|
1957 | swap_diss_y_local(k) = diss_n(k) |
---|
1958 | ENDDO |
---|
1959 | ENDDO |
---|
1960 | ENDDO |
---|
1961 | |
---|
1962 | ! |
---|
1963 | !-- Vertical advection, degradation of order near surface and top. |
---|
1964 | !-- The fluxes flux_d and diss_d at the surface are 0. Due to reasons of |
---|
1965 | !-- statistical evaluation the top flux at the surface should be 0 |
---|
1966 | DO i = nxl, nxr |
---|
1967 | DO j = nys, nyn |
---|
1968 | ! |
---|
1969 | !-- 2nd order scheme (bottom) |
---|
1970 | k=nzb_s_inner(j,i)+1 |
---|
1971 | ! |
---|
1972 | !-- The fluxes flux_d and diss_d at the surface are 0. Due to static |
---|
1973 | !-- reasons the top flux at the surface should be 0. |
---|
1974 | flux_t(nzb_s_inner(j,i)) = 0.0 |
---|
1975 | diss_t(nzb_s_inner(j,i)) = 0.0 |
---|
1976 | flux_d = flux_t(k-1) |
---|
1977 | diss_d = diss_t(k-1) |
---|
1978 | flux_t(k) = w(k,j,i) * ( sk(k+1,j,i) + sk(k,j,i) ) * 0.5 |
---|
1979 | diss_t(k) = diss_2nd( sk(k+2,j,i), sk(k+1,j,i), sk(k,j,i), & |
---|
1980 | sk(k,j,i), sk(k,j,i), w(k,j,i), & |
---|
1981 | 0.5, ddzw(k) ) |
---|
1982 | tend(k,j,i) = tend(k,j,i) - ( flux_t(k) + diss_t(k) & |
---|
1983 | - flux_d - diss_d ) * ddzw(k) |
---|
1984 | ! |
---|
1985 | !-- WS3 as an intermediate step (bottom) |
---|
1986 | k = nzb_s_inner(j,i)+2 |
---|
1987 | flux_d = flux_t(k-1) |
---|
1988 | diss_d = diss_t(k-1) |
---|
1989 | flux_t(k) = w(k,j,i) * ( & |
---|
1990 | 7.0 * ( sk(k+1,j,i) + sk(k,j,i) ) & |
---|
1991 | - ( sk(k+2,j,i) + sk(k-1,j,i) ) ) * adv_sca_3 |
---|
1992 | diss_t(k) = - ABS( w(k,j,i) ) * ( & |
---|
1993 | 3.0 * ( sk(k+1,j,i) - sk(k,j,i) ) & |
---|
1994 | - ( sk(k+2,j,i) - sk(k-1,j,i) ) ) * adv_sca_3 |
---|
1995 | tend(k,j,i) = tend(k,j,i) - ( flux_t(k) + diss_t(k) & |
---|
1996 | - flux_d - diss_d ) * ddzw(k) |
---|
1997 | ! |
---|
1998 | !-- WS5 |
---|
1999 | DO k = nzb_s_inner(j,i)+3, nzt-2 |
---|
2000 | flux_d = flux_t(k-1) |
---|
2001 | diss_d = diss_t(k-1) |
---|
2002 | flux_t(k) = w(k,j,i) * ( & |
---|
2003 | 37.0 * ( sk(k+1,j,i) + sk(k,j,i) ) & |
---|
2004 | - 8.0 * ( sk(k+2,j,i) + sk(k-1,j,i) ) & |
---|
2005 | + ( sk(k+3,j,i) + sk(k-2,j,i) ) ) * adv_sca_5 |
---|
2006 | diss_t(k) = - ABS(w(k,j,i)) * ( & |
---|
2007 | 10.0 * ( sk(k+1,j,i) -sk(k,j,i) ) & |
---|
2008 | - 5.0 * ( sk(k+2,j,i) - sk(k-1,j,i) ) & |
---|
2009 | + ( sk(k+3,j,i) - sk(k-2,j,i) ) ) * adv_sca_5 |
---|
2010 | |
---|
2011 | tend(k,j,i) = tend(k,j,i) - ( flux_t(k) + diss_t(k) & |
---|
2012 | - flux_d - diss_d ) * ddzw(k) |
---|
2013 | ENDDO |
---|
2014 | ! |
---|
2015 | !-- WS3 as an intermediate step (top) |
---|
2016 | k = nzt - 1 |
---|
2017 | flux_d = flux_t(k-1) |
---|
2018 | diss_d = diss_t(k-1) |
---|
2019 | flux_t(k) = w(k,j,i) * ( & |
---|
2020 | 7.0 * ( sk(k+1,j,i) + sk(k,j,i) ) & |
---|
2021 | - ( sk(k+2,j,i) + sk(k-1,j,i) ) ) * adv_sca_3 |
---|
2022 | diss_t(k) = - ABS(w(k,j,i)) * ( & |
---|
2023 | 3.0 * ( sk(k+1,j,i) - sk(k,j,i) ) & |
---|
2024 | - ( sk(k+2,j,i) - sk(k-1,j,i) ) ) * adv_sca_3 |
---|
2025 | |
---|
2026 | tend(k,j,i) = tend(k,j,i) - ( flux_t(k) + diss_t(k) & |
---|
2027 | - flux_d - diss_d ) * ddzw(k) |
---|
2028 | ! |
---|
2029 | !-- 2nd order scheme (top) |
---|
2030 | k = nzt |
---|
2031 | flux_d = flux_t(k-1) |
---|
2032 | diss_d = diss_t(k-1) |
---|
2033 | flux_t(k) = w(k,j,i) * ( sk(k+1,j,i) + sk(k,j,i) ) * 0.5 |
---|
2034 | diss_t(k) = diss_2nd( sk(k+1,j,i), sk(k+1,j,i), sk(k,j,i), & |
---|
2035 | sk(k-1,j,i), sk(k-2,j,i), w(k,j,i), & |
---|
2036 | 0.5, ddzw(k) ) |
---|
2037 | |
---|
2038 | tend(k,j,i) = tend(k,j,i) - ( flux_t(k) + diss_t(k) & |
---|
2039 | - flux_d - diss_d ) * ddzw(k) |
---|
2040 | ! |
---|
2041 | !-- evaluation of statistics |
---|
2042 | SELECT CASE ( sk_char ) |
---|
2043 | |
---|
2044 | CASE ( 'pt' ) |
---|
2045 | DO k = nzb_s_inner(j,i), nzt |
---|
2046 | sums_wspts_ws_l(k,tn) = sums_wspts_ws_l(k,tn) & |
---|
2047 | + ( flux_t(k) + diss_t(k) ) & |
---|
2048 | * weight_substep(intermediate_timestep_count) |
---|
2049 | ENDDO |
---|
2050 | CASE ( 'sa' ) |
---|
2051 | DO k = nzb_s_inner(j,i), nzt |
---|
2052 | sums_wssas_ws_l(k,tn) = sums_wssas_ws_l(k,tn) & |
---|
2053 | + ( flux_t(k) + diss_t(k) ) & |
---|
2054 | * weight_substep(intermediate_timestep_count) |
---|
2055 | ENDDO |
---|
2056 | CASE ( 'q' ) |
---|
2057 | DO k = nzb_s_inner(j,i), nzt |
---|
2058 | sums_wsqs_ws_l(k,tn) = sums_wsqs_ws_l(k,tn) & |
---|
2059 | + ( flux_t(k) + diss_t(k) ) & |
---|
2060 | * weight_substep(intermediate_timestep_count) |
---|
2061 | ENDDO |
---|
2062 | |
---|
2063 | END SELECT |
---|
2064 | ENDDO |
---|
2065 | ENDDO |
---|
2066 | |
---|
2067 | |
---|
2068 | END SUBROUTINE advec_s_ws |
---|
2069 | |
---|
2070 | |
---|
2071 | !------------------------------------------------------------------------------! |
---|
2072 | ! Advection of u - Call for all grid points |
---|
2073 | !------------------------------------------------------------------------------! |
---|
2074 | SUBROUTINE advec_u_ws |
---|
2075 | |
---|
2076 | USE arrays_3d |
---|
2077 | USE constants |
---|
2078 | USE control_parameters |
---|
2079 | USE grid_variables |
---|
2080 | USE indices |
---|
2081 | USE statistics |
---|
2082 | |
---|
2083 | IMPLICIT NONE |
---|
2084 | |
---|
2085 | INTEGER :: i, j, k, tn = 0 |
---|
2086 | REAL :: gu, gv, flux_d, diss_d, v_comp, w_comp |
---|
2087 | REAL, DIMENSION(nzb+1:nzt) :: swap_flux_y_local_u, swap_diss_y_local_u |
---|
2088 | REAL, DIMENSION(nzb+1:nzt,nys:nyn) :: swap_flux_x_local_u, & |
---|
2089 | swap_diss_x_local_u |
---|
2090 | REAL, DIMENSION(nzb:nzt+1) :: flux_t, diss_t, flux_r, diss_r, flux_n, & |
---|
2091 | diss_n, u_comp |
---|
2092 | |
---|
2093 | gu = 2.0 * u_gtrans |
---|
2094 | gv = 2.0 * v_gtrans |
---|
2095 | |
---|
2096 | ! |
---|
2097 | !-- Compute the fluxes for the whole left boundary of the processor domain. |
---|
2098 | i = nxlu |
---|
2099 | DO j = nys, nyn |
---|
2100 | IF( boundary_flags(j,i) == 5 ) THEN |
---|
2101 | |
---|
2102 | DO k = nzb_u_inner(j,i)+1, nzt |
---|
2103 | u_comp(k) = u(k,j,i) + u(k,j,i-1) - gu |
---|
2104 | swap_flux_x_local_u(k,j) = u_comp(k) * & |
---|
2105 | ( u(k,j,i) + u(k,j,i-1) ) * 0.25 |
---|
2106 | swap_diss_x_local_u(k,j) = diss_2nd( u(k,j,i+2), u(k,j,i+1), & |
---|
2107 | u(k,j,i), u(k,j,i-1), & |
---|
2108 | u(k,j,i-1), u_comp(k), & |
---|
2109 | 0.25, ddx ) |
---|
2110 | ENDDO |
---|
2111 | |
---|
2112 | ELSE |
---|
2113 | |
---|
2114 | DO k = nzb_u_inner(j,i)+1, nzt |
---|
2115 | u_comp(k) = u(k,j,i) + u(k,j,i-1) - gu |
---|
2116 | swap_flux_x_local_u(k,j) = u_comp(k) * ( & |
---|
2117 | 37.0 * ( u(k,j,i) + u(k,j,i-1) ) & |
---|
2118 | - 8.0 * ( u(k,j,i+1) + u(k,j,i-2) ) & |
---|
2119 | + (u(k,j,i+2)+u(k,j,i-3) ) ) & |
---|
2120 | * adv_mom_5 |
---|
2121 | swap_diss_x_local_u(k,j) = - ABS(u_comp(k)) * ( & |
---|
2122 | 10.0 * ( u(k,j,i) - u(k,j,i-1) ) & |
---|
2123 | - 5.0 * ( u(k,j,i+1) - u(k,j,i-2) ) & |
---|
2124 | + ( u(k,j,i+2) - u(k,j,i-3) ) )& |
---|
2125 | * adv_mom_5 |
---|
2126 | ENDDO |
---|
2127 | |
---|
2128 | ENDIF |
---|
2129 | |
---|
2130 | ENDDO |
---|
2131 | |
---|
2132 | DO i = nxlu, nxr |
---|
2133 | ! |
---|
2134 | !-- The following loop computes the fluxes for the south boundary points |
---|
2135 | j = nys |
---|
2136 | IF ( boundary_flags(j,i) == 8 ) THEN |
---|
2137 | ! |
---|
2138 | !-- Compute southside fluxes for the south boundary of PE domain |
---|
2139 | DO k = nzb_u_inner(j,i)+1, nzt |
---|
2140 | v_comp = v(k,j,i) + v(k,j,i-1) - gv |
---|
2141 | swap_flux_y_local_u(k) = v_comp * & |
---|
2142 | ( u(k,j,i) + u(k,j-1,i) ) * 0.25 |
---|
2143 | swap_diss_y_local_u(k) = diss_2nd( u(k,j+2,i), u(k,j+1,i), & |
---|
2144 | u(k,j,i), u(k,j-1,i), & |
---|
2145 | u(k,j-1,i), v_comp, & |
---|
2146 | 0.25, ddy ) |
---|
2147 | ENDDO |
---|
2148 | |
---|
2149 | ELSE |
---|
2150 | |
---|
2151 | DO k = nzb_u_inner(j,i)+1, nzt |
---|
2152 | v_comp = v(k,j,i) + v(k,j,i-1) - gv |
---|
2153 | swap_flux_y_local_u(k) = v_comp * ( & |
---|
2154 | 37.0 * ( u(k,j,i) + u(k,j-1,i) ) & |
---|
2155 | - 8.0 * ( u(k,j+1,i) + u(k,j-2,i) ) & |
---|
2156 | + ( u(k,j+2,i) + u(k,j-3,i) ) ) & |
---|
2157 | * adv_mom_5 |
---|
2158 | swap_diss_y_local_u(k) = - ABS( v_comp ) * ( & |
---|
2159 | 10.0 * ( u(k,j,i) - u(k,j-1,i) ) & |
---|
2160 | - 5.0 * ( u(k,j+1,i) - u(k,j-2,i) ) & |
---|
2161 | + ( u(k,j+2,i) - u(k,j-3,i) ) ) & |
---|
2162 | * adv_mom_5 |
---|
2163 | ENDDO |
---|
2164 | |
---|
2165 | ENDIF |
---|
2166 | ! |
---|
2167 | !-- Computation of interior fluxes and tendency terms |
---|
2168 | DO j = nys, nyn |
---|
2169 | IF ( boundary_flags(j,i) /= 0 ) THEN |
---|
2170 | ! |
---|
2171 | !-- Degrade the order for Dirichlet bc. at the outflow boundary |
---|
2172 | SELECT CASE ( boundary_flags(j,i) ) |
---|
2173 | |
---|
2174 | CASE ( 1 ) |
---|
2175 | DO k = nzb_u_inner(j,i)+1, nzt |
---|
2176 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
---|
2177 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
---|
2178 | 7.0 * ( u(k,j,i+1) + u(k,j,i) ) & |
---|
2179 | - ( u(k,j,i+2) + u(k,j,i-1) ) ) & |
---|
2180 | * adv_mom_3 |
---|
2181 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
---|
2182 | 3.0 * ( u(k,j,i+1) - u(k,j,i) ) & |
---|
2183 | - ( u(k,j,i+2) - u(k,j,i-1) ) ) & |
---|
2184 | * adv_mom_3 |
---|
2185 | ENDDO |
---|
2186 | |
---|
2187 | CASE ( 2 ) |
---|
2188 | DO k = nzb_u_inner(j,i)+1, nzt |
---|
2189 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
---|
2190 | flux_r(k) = ( u_comp(k) - gu ) * & |
---|
2191 | ( u(k,j,i+1) + u(k,j,i) ) * 0.25 |
---|
2192 | diss_r(k) = diss_2nd( u(k,j,i+1), u(k,j,i+1), & |
---|
2193 | u(k,j,i), u(k,j,i-1), & |
---|
2194 | u(k,j,i-2), u_comp(k) ,0.25 ,ddx) |
---|
2195 | ENDDO |
---|
2196 | |
---|
2197 | CASE ( 3 ) |
---|
2198 | DO k = nzb_u_inner(j,i)+1, nzt |
---|
2199 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
---|
2200 | flux_n(k) = v_comp * ( & |
---|
2201 | 7.0 * ( u(k,j+1,i) + u(k,j,i) ) & |
---|
2202 | - ( u(k,j+2,i) + u(k,j-1,i) ) ) & |
---|
2203 | * adv_mom_3 |
---|
2204 | diss_n(k) = - ABS( v_comp ) * ( & |
---|
2205 | 3.0 * ( u(k,j+1,i) - u(k,j,i) ) & |
---|
2206 | - ( u(k,j+2,i) - u(k,j-1,i) ) ) & |
---|
2207 | * adv_mom_3 |
---|
2208 | ENDDO |
---|
2209 | |
---|
2210 | CASE ( 4 ) |
---|
2211 | DO k = nzb_u_inner(j,i)+1, nzt |
---|
2212 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
---|
2213 | flux_n(k) = v_comp * ( u(k,j+1,i) + u(k,j,i) ) * 0.25 |
---|
2214 | diss_n(k) = diss_2nd( u(k,j+1,i), u(k,j+1,i), & |
---|
2215 | u(k,j,i), u(k,j-1,i), & |
---|
2216 | u(k,j-2,i), v_comp, 0.25, ddy ) |
---|
2217 | ENDDO |
---|
2218 | |
---|
2219 | CASE ( 5 ) |
---|
2220 | DO k = nzb_u_inner(j,i)+1, nzt |
---|
2221 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
---|
2222 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
---|
2223 | 7.0 * ( u(k,j,i+1) + u(k,j,i) ) & |
---|
2224 | - ( u(k,j,i+2) + u(k,j,i-1) ) ) & |
---|
2225 | * adv_mom_3 |
---|
2226 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
---|
2227 | 3.0 * ( u(k,j,i+1) - u(k,j,i) ) & |
---|
2228 | - ( u(k,j,i+2) - u(k,j,i-1) ) ) & |
---|
2229 | * adv_mom_3 |
---|
2230 | ENDDO |
---|
2231 | |
---|
2232 | CASE ( 7 ) |
---|
2233 | DO k = nzb_u_inner(j,i)+1, nzt |
---|
2234 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
---|
2235 | flux_n(k) = v_comp * ( & |
---|
2236 | 7.0 * ( u(k,j+1,i) + u(k,j,i) ) & |
---|
2237 | - ( u(k,j+2,i) + u(k,j-1,i) ) ) & |
---|
2238 | * adv_mom_3 |
---|
2239 | diss_n(k) = - ABS( v_comp ) * ( & |
---|
2240 | 3.0 * ( u(k,j+1,i) - u(k,j,i) ) & |
---|
2241 | - ( u(k,j+2,i) - u(k,j-1,i) ) ) & |
---|
2242 | * adv_mom_3 |
---|
2243 | ENDDO |
---|
2244 | |
---|
2245 | CASE ( 8 ) |
---|
2246 | DO k = nzb_u_inner(j,i)+1, nzt |
---|
2247 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
---|
2248 | flux_n(k) = v_comp * ( & |
---|
2249 | 7.0 * ( u(k,j+1,i) + u(k,j,i) ) & |
---|
2250 | - ( u(k,j+2,i) + u(k,j-1,i) ) ) & |
---|
2251 | * adv_mom_3 |
---|
2252 | diss_n(k) = - ABS( v_comp ) * ( & |
---|
2253 | 3.0 * ( u(k,j+1,i) - u(k,j,i) ) & |
---|
2254 | - ( u(k,j+2,i) - u(k,j-1,i) ) ) & |
---|
2255 | * adv_mom_3 |
---|
2256 | ENDDO |
---|
2257 | |
---|
2258 | CASE DEFAULT |
---|
2259 | |
---|
2260 | END SELECT |
---|
2261 | ! |
---|
2262 | !-- Compute the crosswise 5th order fluxes at the outflow |
---|
2263 | IF ( boundary_flags(j,i) == 1 .OR. boundary_flags(j,i) == 2 .OR.& |
---|
2264 | boundary_flags(j,i) == 5 ) THEN |
---|
2265 | |
---|
2266 | DO k = nzb_u_inner(j,i)+1, nzt |
---|
2267 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
---|
2268 | flux_n(k) = v_comp * ( & |
---|
2269 | 37.0 * ( u(k,j+1,i) + u(k,j,i) ) & |
---|
2270 | - 8.0 * ( u(k,j+2,i) +u(k,j-1,i) ) & |
---|
2271 | + ( u(k,j+3,i) + u(k,j-2,i) ) ) & |
---|
2272 | * adv_mom_5 |
---|
2273 | diss_n(k) = - ABS( v_comp ) * ( & |
---|
2274 | 10.0 * ( u(k,j+1,i) - u(k,j,i) ) & |
---|
2275 | - 5.0 * ( u(k,j+2,i) - u(k,j-1,i) ) & |
---|
2276 | + ( u(k,j+3,i) - u(k,j-2,i) ) ) & |
---|
2277 | * adv_mom_5 |
---|
2278 | ENDDO |
---|
2279 | |
---|
2280 | ELSE |
---|
2281 | |
---|
2282 | DO k = nzb_u_inner(j,i)+1, nzt |
---|
2283 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
---|
2284 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
---|
2285 | 37.0 * ( u(k,j,i+1) + u(k,j,i) ) & |
---|
2286 | - 8.0 * ( u(k,j,i+2) + u(k,j,i-1) ) & |
---|
2287 | + ( u(k,j,i+3) + u(k,j,i-2) ) ) & |
---|
2288 | * adv_mom_5 |
---|
2289 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
---|
2290 | 10.0 * ( u(k,j,i+1) - u(k,j,i) ) & |
---|
2291 | - 5.0 * ( u(k,j,i+2) - u(k,j,i-1) ) & |
---|
2292 | + ( u(k,j,i+3) - u(k,j,i-2) ) ) & |
---|
2293 | * adv_mom_5 |
---|
2294 | ENDDO |
---|
2295 | |
---|
2296 | ENDIF |
---|
2297 | |
---|
2298 | ELSE |
---|
2299 | |
---|
2300 | DO k = nzb_u_inner(j,i)+1, nzt |
---|
2301 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
---|
2302 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
---|
2303 | 37.0 * ( u(k,j,i+1) + u(k,j,i) ) & |
---|
2304 | - 8.0 * ( u(k,j,i+2) + u(k,j,i-1) ) & |
---|
2305 | + ( u(k,j,i+3) + u(k,j,i-2) ) ) & |
---|
2306 | * adv_mom_5 |
---|
2307 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
---|
2308 | 10.0 * ( u(k,j,i+1) - u(k,j,i) ) & |
---|
2309 | - 5.0 * ( u(k,j,i+2) - u(k,j,i-1) ) & |
---|
2310 | + ( u(k,j,i+3) - u(k,j,i-2) ) ) * adv_mom_5 |
---|
2311 | |
---|
2312 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
---|
2313 | flux_n(k) = v_comp * ( & |
---|
2314 | 37.0 * ( u(k,j+1,i) + u(k,j,i) ) & |
---|
2315 | - 8.0 * ( u(k,j+2,i) + u(k,j-1,i) ) & |
---|
2316 | + ( u(k,j+3,i) + u(k,j-2,i) ) ) * adv_mom_5 |
---|
2317 | diss_n(k) = - ABS( v_comp ) * ( & |
---|
2318 | 10.0 * ( u(k,j+1,i) - u(k,j,i) ) & |
---|
2319 | - 5.0 * ( u(k,j+2,i) - u(k,j-1,i) ) & |
---|
2320 | + ( u(k,j+3,i) - u(k,j-2,i) ) ) * adv_mom_5 |
---|
2321 | |
---|
2322 | ENDDO |
---|
2323 | |
---|
2324 | ENDIF |
---|
2325 | |
---|
2326 | DO k = nzb_u_inner(j,i)+1, nzt |
---|
2327 | |
---|
2328 | tend(k,j,i) = tend(k,j,i) - ( & |
---|
2329 | ( flux_r(k) + diss_r(k) & |
---|
2330 | - swap_flux_x_local_u(k,j) - swap_diss_x_local_u(k,j) ) * ddx & |
---|
2331 | + ( flux_n(k) + diss_n(k) & |
---|
2332 | - swap_flux_y_local_u(k) - swap_diss_y_local_u(k) ) * ddy ) |
---|
2333 | |
---|
2334 | swap_flux_x_local_u(k,j) = flux_r(k) |
---|
2335 | swap_diss_x_local_u(k,j) = diss_r(k) |
---|
2336 | swap_flux_y_local_u(k) = flux_n(k) |
---|
2337 | swap_diss_y_local_u(k) = diss_n(k) |
---|
2338 | |
---|
2339 | sums_us2_ws_l(k,tn) = sums_us2_ws_l(k,tn) & |
---|
2340 | + ( flux_r(k) & |
---|
2341 | * ( u_comp(k) - 2.0 * hom(k,1,1,0) ) & |
---|
2342 | / ( u_comp(k) - gu + 1.0E-20 ) & |
---|
2343 | + diss_r(k) & |
---|
2344 | * ABS( u_comp(k) - 2.0 * hom(k,1,1,0) ) & |
---|
2345 | / ( ABS( u_comp(k) - gu) + 1.0E-20) ) & |
---|
2346 | * weight_substep(intermediate_timestep_count) |
---|
2347 | ENDDO |
---|
2348 | sums_us2_ws_l(nzb_u_inner(j,i),tn) = sums_us2_ws_l(nzb_u_inner(j,i)+1,tn) |
---|
2349 | ENDDO |
---|
2350 | ENDDO |
---|
2351 | |
---|
2352 | ! |
---|
2353 | !-- Vertical advection, degradation of order near surface and top. |
---|
2354 | !-- The fluxes flux_d and diss_d at the surface are 0. Due to reasons of |
---|
2355 | !-- statistical evaluation the top flux at the surface should be 0 |
---|
2356 | DO i = nxlu, nxr |
---|
2357 | DO j = nys, nyn |
---|
2358 | k = nzb_u_inner(j,i)+1 |
---|
2359 | ! |
---|
2360 | !-- The fluxes flux_d and diss_d at the surface are 0. Due to static |
---|
2361 | !-- reasons the top flux at the surface should be 0. |
---|
2362 | flux_t(nzb_u_inner(j,i)) = 0.0 |
---|
2363 | diss_t(nzb_u_inner(j,i)) = 0.0 |
---|
2364 | flux_d = flux_t(k-1) |
---|
2365 | diss_d = diss_t(k-1) |
---|
2366 | ! |
---|
2367 | !-- 2nd order scheme (bottom) |
---|
2368 | w_comp = w(k,j,i) + w(k,j,i-1) |
---|
2369 | flux_t(k) = w_comp * ( u(k+1,j,i) + u(k,j,i) ) * 0.25 |
---|
2370 | diss_t(k) = diss_2nd( u(k+2,j,i), u(k+1,j,i), u(k,j,i), & |
---|
2371 | 0.0, 0.0, w_comp, 0.25, ddzw(k) ) |
---|
2372 | |
---|
2373 | tend(k,j,i) = tend(k,j,i) - ( flux_t(k) + diss_t(k) & |
---|
2374 | - flux_d - diss_d ) * ddzw(k) |
---|
2375 | ! |
---|
2376 | !-- WS3 as an intermediate step (bottom) |
---|
2377 | k = nzb_u_inner(j,i)+2 |
---|
2378 | flux_d = flux_t(k-1) |
---|
2379 | diss_d = diss_t(k-1) |
---|
2380 | w_comp = w(k,j,i) + w(k,j,i-1) |
---|
2381 | flux_t(k) = w_comp * ( & |
---|
2382 | 7.0 * ( u(k+1,j,i) + u(k,j,i) ) & |
---|
2383 | - ( u(k+2,j,i) + u(k-1,j,i) ) ) * adv_mom_3 |
---|
2384 | diss_t(k) = - ABS( w_comp ) * ( & |
---|
2385 | 3.0 * ( u(k+1,j,i) - u(k,j,i) ) & |
---|
2386 | - ( u(k+2,j,i) - u(k-1,j,i) ) ) * adv_mom_3 |
---|
2387 | |
---|
2388 | tend(k,j,i) = tend(k,j,i) - ( flux_t(k) + diss_t(k) & |
---|
2389 | - flux_d - diss_d ) * ddzw(k) |
---|
2390 | ! |
---|
2391 | !WS5 |
---|
2392 | DO k = nzb_u_inner(j,i)+3, nzt-2 |
---|
2393 | |
---|
2394 | flux_d = flux_t(k-1) |
---|
2395 | diss_d = diss_t(k-1) |
---|
2396 | w_comp = w(k,j,i) + w(k,j,i-1) |
---|
2397 | flux_t(k) = w_comp * ( & |
---|
2398 | 37.0 * ( u(k+1,j,i) + u(k,j,i) ) & |
---|
2399 | - 8.0 * ( u(k+2,j,i) + u(k-1,j,i) ) & |
---|
2400 | + ( u(k+3,j,i) + u(k-2,j,i) ) ) * adv_mom_5 |
---|
2401 | diss_t(k) = - ABS( w_comp ) * ( & |
---|
2402 | 10.0 * ( u(k+1,j,i) - u(k,j,i) ) & |
---|
2403 | - 5.0 * ( u(k+2,j,i) - u(k-1,j,i) ) & |
---|
2404 | + ( u(k+3,j,i) - u(k-2,j,i) ) ) * adv_mom_5 |
---|
2405 | |
---|
2406 | tend(k,j,i) = tend(k,j,i) - ( flux_t(k) + diss_t(k) & |
---|
2407 | - flux_d - diss_d ) * ddzw(k) |
---|
2408 | |
---|
2409 | ENDDO |
---|
2410 | ! |
---|
2411 | !-- WS3 as an intermediate step (top) |
---|
2412 | k = nzt-1 |
---|
2413 | flux_d = flux_t(k-1) |
---|
2414 | diss_d = diss_t(k-1) |
---|
2415 | w_comp = w(k,j,i) + w(k,j,i-1) |
---|
2416 | flux_t(k) = w_comp * ( & |
---|
2417 | 7.0 * ( u(k+1,j,i) + u(k,j,i) ) & |
---|
2418 | - ( u(k+2,j,i) + u(k-1,j,i) ) ) * adv_mom_3 |
---|
2419 | diss_t(k) = - ABS( w_comp ) * ( & |
---|
2420 | 3.0 * ( u(k+1,j,i) - u(k,j,i) ) & |
---|
2421 | - ( u(k+2,j,i) - u(k-1,j,i) ) ) * adv_mom_3 |
---|
2422 | |
---|
2423 | tend(k,j,i) = tend(k,j,i) - ( flux_t(k) + diss_t(k) & |
---|
2424 | - flux_d - diss_d ) * ddzw(k) |
---|
2425 | ! |
---|
2426 | !-- 2nd order scheme (top) |
---|
2427 | k = nzt |
---|
2428 | flux_d = flux_t(k-1) |
---|
2429 | diss_d = diss_t(k-1) |
---|
2430 | w_comp = w(k,j,i) + w(k,j,i-1) |
---|
2431 | flux_t(k) = w_comp * ( u(k+1,j,i) + u(k,j,i) ) * 0.25 |
---|
2432 | diss_t(k) = diss_2nd( u(nzt+1,j,i), u(nzt+1,j,i), u(k,j,i), & |
---|
2433 | u(k-1,j,i), u(k-2,j,i), w_comp, & |
---|
2434 | 0.25, ddzw(k)) |
---|
2435 | |
---|
2436 | tend(k,j,i) = tend(k,j,i) - ( flux_t(k) + diss_t(k) & |
---|
2437 | - flux_d - diss_d ) * ddzw(k) |
---|
2438 | ! |
---|
2439 | !-- at last vertical momentum flux is accumulated |
---|
2440 | DO k = nzb_u_inner(j,i), nzt |
---|
2441 | sums_wsus_ws_l(k,tn) = sums_wsus_ws_l(k,tn) & |
---|
2442 | + ( flux_t(k) + diss_t(k) ) & |
---|
2443 | * weight_substep(intermediate_timestep_count) |
---|
2444 | ENDDO |
---|
2445 | ENDDO |
---|
2446 | ENDDO |
---|
2447 | |
---|
2448 | |
---|
2449 | END SUBROUTINE advec_u_ws |
---|
2450 | |
---|
2451 | |
---|
2452 | !------------------------------------------------------------------------------! |
---|
2453 | ! Advection of v - Call for all grid points |
---|
2454 | !------------------------------------------------------------------------------! |
---|
2455 | SUBROUTINE advec_v_ws |
---|
2456 | |
---|
2457 | USE arrays_3d |
---|
2458 | USE constants |
---|
2459 | USE control_parameters |
---|
2460 | USE grid_variables |
---|
2461 | USE indices |
---|
2462 | USE statistics |
---|
2463 | |
---|
2464 | IMPLICIT NONE |
---|
2465 | |
---|
2466 | |
---|
2467 | INTEGER :: i, j, k, tn = 0 |
---|
2468 | REAL :: gu, gv, flux_l, flux_s, flux_d, diss_l, diss_s, diss_d, & |
---|
2469 | u_comp, w_comp |
---|
2470 | REAL, DIMENSION(nzb+1:nzt) :: swap_flux_y_local_v, swap_diss_y_local_v |
---|
2471 | REAL, DIMENSION(nzb+1:nzt,nys:nyn) :: swap_flux_x_local_v, & |
---|
2472 | swap_diss_x_local_v |
---|
2473 | REAL, DIMENSION(nzb:nzt+1) :: flux_t, diss_t, flux_n, diss_n, flux_r, & |
---|
2474 | diss_r, v_comp |
---|
2475 | |
---|
2476 | gu = 2.0 * u_gtrans |
---|
2477 | gv = 2.0 * v_gtrans |
---|
2478 | ! |
---|
2479 | !-- First compute the whole left boundary of the processor domain |
---|
2480 | i = nxl |
---|
2481 | DO j = nysv, nyn |
---|
2482 | |
---|
2483 | IF ( boundary_flags(j,i) == 6 ) THEN |
---|
2484 | DO k = nzb_v_inner(j,i)+1, nzt |
---|
2485 | u_comp = u(k,j-1,i) + u(k,j,i) - gu |
---|
2486 | swap_flux_x_local_v(k,j) = u_comp * & |
---|
2487 | ( v(k,j,i) + v(k,j,i-1)) * 0.25 |
---|
2488 | swap_diss_x_local_v(k,j) = diss_2nd( v(k,j,i+2), v(k,j,i+1), & |
---|
2489 | v(k,j,i), v(k,j,i-1), & |
---|
2490 | v(k,j,i-1), u_comp, & |
---|
2491 | 0.25, ddx ) |
---|
2492 | ENDDO |
---|
2493 | |
---|
2494 | ELSE |
---|
2495 | |
---|
2496 | DO k = nzb_v_inner(j,i)+1, nzt |
---|
2497 | u_comp = u(k,j-1,i) + u(k,j,i) - gu |
---|
2498 | swap_flux_x_local_v(k,j) = u_comp * ( & |
---|
2499 | 37.0 * ( v(k,j,i) + v(k,j,i-1) ) & |
---|
2500 | - 8.0 * ( v(k,j,i+1) + v(k,j,i-2) ) & |
---|
2501 | + ( v(k,j,i+2) + v(k,j,i-3) ) )& |
---|
2502 | * adv_mom_5 |
---|
2503 | swap_diss_x_local_v(k,j) = - ABS( u_comp ) * ( & |
---|
2504 | 10.0 * ( v(k,j,i) - v(k,j,i-1) ) & |
---|
2505 | - 5.0 * ( v(k,j,i+1) - v(k,j,i-2) ) & |
---|
2506 | + ( v(k,j,i+2) - v(k,j,i-3) ) )& |
---|
2507 | * adv_mom_5 |
---|
2508 | ENDDO |
---|
2509 | |
---|
2510 | ENDIF |
---|
2511 | |
---|
2512 | ENDDO |
---|
2513 | |
---|
2514 | DO i = nxl, nxr |
---|
2515 | j = nysv |
---|
2516 | IF ( boundary_flags(j,i) == 7 ) THEN |
---|
2517 | |
---|
2518 | DO k = nzb_v_inner(j,i)+1, nzt |
---|
2519 | v_comp(k) = v(k,j,i) + v(k,j-1,i) - gv |
---|
2520 | swap_flux_y_local_v(k) = v_comp(k) * & |
---|
2521 | ( v(k,j,i) + v(k,j-1,i) ) * 0.25 |
---|
2522 | swap_diss_y_local_v(k) = diss_2nd( v(k,j+2,i), v(k,j+1,i), & |
---|
2523 | v(k,j,i), v(k,j-1,i), & |
---|
2524 | v(k,j-1,i), v_comp(k), & |
---|
2525 | 0.25, ddy ) |
---|
2526 | ENDDO |
---|
2527 | |
---|
2528 | ELSE |
---|
2529 | |
---|
2530 | DO k = nzb_v_inner(j,i)+1, nzt |
---|
2531 | v_comp(k) = v(k,j,i) + v(k,j-1,i) - gv |
---|
2532 | swap_flux_y_local_v(k) = v_comp(k) * ( & |
---|
2533 | 37.0 * ( v(k,j,i) + v(k,j-1,i) ) & |
---|
2534 | - 8.0 * ( v(k,j+1,i) + v(k,j-2,i) ) & |
---|
2535 | + ( v(k,j+2,i) + v(k,j-3,i) ) ) & |
---|
2536 | * adv_mom_5 |
---|
2537 | swap_diss_y_local_v(k) = - ABS( v_comp(k) ) * ( & |
---|
2538 | 10.0 * ( v(k,j,i) - v(k,j-1,i) ) & |
---|
2539 | - 5.0 * ( v(k,j+1,i) - v(k,j-2,i) ) & |
---|
2540 | + ( v(k,j+2,i) - v(k,j-3,i) ) ) & |
---|
2541 | * adv_mom_5 |
---|
2542 | ENDDO |
---|
2543 | |
---|
2544 | ENDIF |
---|
2545 | |
---|
2546 | DO j = nysv, nyn |
---|
2547 | IF ( boundary_flags(j,i) /= 0 ) THEN |
---|
2548 | ! |
---|
2549 | !-- Degrade the order for Dirichlet bc. at the outflow boundary |
---|
2550 | SELECT CASE ( boundary_flags(j,i) ) |
---|
2551 | |
---|
2552 | CASE ( 1 ) |
---|
2553 | DO k = nzb_v_inner(j,i)+1, nzt |
---|
2554 | u_comp = u(k,j-1,i+1) + u(k,j,i+1) - gu |
---|
2555 | flux_r(k) = u_comp * ( & |
---|
2556 | 7.0 * (v(k,j,i+1) + v(k,j,i) ) & |
---|
2557 | - ( v(k,j,i+2) + v(k,j,i-1) ) ) & |
---|
2558 | * adv_mom_3 |
---|
2559 | diss_r(k) = - ABS( u_comp ) * ( & |
---|
2560 | 3.0 * ( v(k,j,i+1) - v(k,j,i) ) & |
---|
2561 | - ( v(k,j,i+2) - v(k,j,i-1) ) ) & |
---|
2562 | * adv_mom_3 |
---|
2563 | ENDDO |
---|
2564 | |
---|
2565 | CASE ( 2 ) |
---|
2566 | DO k = nzb_v_inner(j,i)+1, nzt |
---|
2567 | u_comp = u(k,j-1,i+1) + u(k,j,i+1) - gu |
---|
2568 | flux_r(k) = u_comp * ( v(k,j,i+1) + v(k,j,i) ) * 0.25 |
---|
2569 | diss_r(k) = diss_2nd( v(k,j,i+1), v(k,j,i+1), & |
---|
2570 | v(k,j,i), v(k,j,i-1), & |
---|
2571 | v(k,j,i-2), u_comp, 0.25, ddx ) |
---|
2572 | ENDDO |
---|
2573 | |
---|
2574 | CASE ( 3 ) |
---|
2575 | DO k = nzb_v_inner(j,i)+1, nzt |
---|
2576 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
---|
2577 | flux_n(k) = ( v_comp(k)- gv ) * ( & |
---|
2578 | 7.0 * ( v(k,j+1,i) + v(k,j,i) ) & |
---|
2579 | - ( v(k,j+2,i) + v(k,j-1,i) ) ) & |
---|
2580 | * adv_mom_3 |
---|
2581 | diss_n(k) = - ABS(v_comp(k) - gv) * ( & |
---|
2582 | 3.0 * ( v(k,j+1,i) - v(k,j,i) ) & |
---|
2583 | - ( v(k,j+2,i) - v(k,j-1,i) ) ) & |
---|
2584 | * adv_mom_3 |
---|
2585 | ENDDO |
---|
2586 | |
---|
2587 | CASE ( 4 ) |
---|
2588 | DO k = nzb_v_inner(j,i)+1, nzt |
---|
2589 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
---|
2590 | flux_n(k) = ( v_comp(k) - gv ) * & |
---|
2591 | ( v(k,j+1,i) + v(k,j,i) ) * 0.25 |
---|
2592 | diss_n(k) = diss_2nd( v(k,j+1,i), v(k,j+1,i), & |
---|
2593 | v(k,j,i), v(k,j-1,i), & |
---|
2594 | v(k,j-2,i), v_comp(k), 0.25, ddy) |
---|
2595 | ENDDO |
---|
2596 | |
---|
2597 | CASE ( 5 ) |
---|
2598 | DO k = nzb_w_inner(j,i)+1, nzt |
---|
2599 | u_comp = u(k,j-1,i) + u(k,j,i) - gu |
---|
2600 | flux_r(k) = u_comp * ( & |
---|
2601 | 7.0 * ( v(k,j,i+1) + v(k,j,i) ) & |
---|
2602 | - ( v(k,j,i+2) + v(k,j,i-1) ) ) & |
---|
2603 | * adv_mom_3 |
---|
2604 | diss_r(k) = - ABS (u_comp ) * ( & |
---|
2605 | 3.0 * ( w(k,j,i+1) - w(k,j,i) ) & |
---|
2606 | - ( v(k,j,i+2) - v(k,j,i-1) ) ) & |
---|
2607 | * adv_mom_3 |
---|
2608 | ENDDO |
---|
2609 | |
---|
2610 | CASE ( 6 ) |
---|
2611 | DO k = nzb_v_inner(j,i)+1, nzt |
---|
2612 | |
---|
2613 | u_comp = u(k,j-1,i+1) + u(k,j,i+1) - gu |
---|
2614 | flux_r(k) = u_comp * ( & |
---|
2615 | 7.0 * ( v(k,j,i+1) + v(k,j,i) ) & |
---|
2616 | - ( v(k,j,i+2) + v(k,j,i-1) ) ) & |
---|
2617 | * adv_mom_3 |
---|
2618 | diss_r(k) = - ABS( u_comp ) * ( & |
---|
2619 | 3.0 * ( v(k,j,i+1) - v(k,j,i) ) & |
---|
2620 | - ( v(k,j,i+2) - v(k,j,i-1) ) ) & |
---|
2621 | * adv_mom_3 |
---|
2622 | ENDDO |
---|
2623 | |
---|
2624 | CASE ( 7 ) |
---|
2625 | DO k = nzb_v_inner(j,i)+1, nzt |
---|
2626 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
---|
2627 | flux_n(k) = ( v_comp(k) - gv ) * ( & |
---|
2628 | 7.0 * ( v(k,j+1,i) + v(k,j,i) ) & |
---|
2629 | - ( v(k,j+2,i) + v(k,j-1,i) ) ) & |
---|
2630 | * adv_mom_3 |
---|
2631 | diss_n(k) = - ABS( v_comp(k) - gv ) * ( & |
---|
2632 | 3.0 * ( v(k,j+1,i) - v(k,j,i) ) & |
---|
2633 | - ( v(k,j+2,i) - v(k,j-1,i) ) ) & |
---|
2634 | * adv_mom_3 |
---|
2635 | ENDDO |
---|
2636 | |
---|
2637 | CASE DEFAULT |
---|
2638 | |
---|
2639 | END SELECT |
---|
2640 | ! |
---|
2641 | !-- Compute the crosswise 5th order fluxes at the outflow |
---|
2642 | IF ( boundary_flags(j,i) == 1 .OR. boundary_flags(j,i) == 2 .OR.& |
---|
2643 | boundary_flags(j,i) == 5 .OR. boundary_flags(j,i) == 6 ) & |
---|
2644 | THEN |
---|
2645 | |
---|
2646 | DO k = nzb_v_inner(j,i)+1, nzt |
---|
2647 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
---|
2648 | flux_n(k) = ( v_comp(k) - gv ) * ( & |
---|
2649 | 37.0 * ( v(k,j+1,i) + v(k,j,i) ) & |
---|
2650 | - 8.0 * ( v(k,j+2,i) + v(k,j-1,i) ) & |
---|
2651 | + ( v(k,j+3,i) + v(k,j-2,i) ) ) & |
---|
2652 | * adv_mom_5 |
---|
2653 | diss_n(k) = - ABS( v_comp(k) - gv ) * ( & |
---|
2654 | 10.0 * ( v(k,j+1,i) - v(k,j,i) ) & |
---|
2655 | - 5.0 * ( v(k,j+2,i) - v(k,j-1,i) ) & |
---|
2656 | + ( v(k,j+3,i) - v(k,j-2,i) ) ) & |
---|
2657 | * adv_mom_5 |
---|
2658 | ENDDO |
---|
2659 | |
---|
2660 | ELSE |
---|
2661 | |
---|
2662 | DO k = nzb_v_inner(j,i)+1, nzt |
---|
2663 | u_comp = u(k,j-1,i+1) + u(k,j,i+1) - gu |
---|
2664 | flux_r(k) = u_comp * ( & |
---|
2665 | 37.0 * ( v(k,j,i+1) + v(k,j,i) ) & |
---|
2666 | - 8.0 * ( v(k,j,i+2) + v(k,j,i-1) ) & |
---|
2667 | + ( v(k,j,i+3) + v(k,j,i-2) ) ) & |
---|
2668 | * adv_mom_5 |
---|
2669 | diss_r(k) = - ABS( u_comp ) * ( & |
---|
2670 | 10.0 * |
---|