1 | SUBROUTINE timestep |
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2 | |
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3 | !--------------------------------------------------------------------------------! |
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4 | ! This file is part of PALM. |
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5 | ! |
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6 | ! PALM is free software: you can redistribute it and/or modify it under the terms |
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7 | ! of the GNU General Public License as published by the Free Software Foundation, |
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8 | ! either version 3 of the License, or (at your option) any later version. |
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9 | ! |
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10 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
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11 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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12 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
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13 | ! |
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14 | ! You should have received a copy of the GNU General Public License along with |
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15 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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16 | ! |
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17 | ! Copyright 1997-2012 Leibniz University Hannover |
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18 | !--------------------------------------------------------------------------------! |
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19 | ! |
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20 | ! Current revisions: |
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21 | ! ------------------ |
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22 | ! |
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23 | ! |
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24 | ! Former revisions: |
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25 | ! ----------------- |
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26 | ! $Id: timestep.f90 1093 2013-02-02 12:58:49Z witha $ |
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27 | ! |
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28 | ! 1092 2013-02-02 11:24:22Z raasch |
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29 | ! unused variables removed |
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30 | ! |
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31 | ! 1053 2012-11-13 17:11:03Z hoffmann |
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32 | ! timestep is reduced in two-moment cloud scheme according to the maximum |
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33 | ! terminal velocity of rain drops |
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34 | ! |
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35 | ! 1036 2012-10-22 13:43:42Z raasch |
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36 | ! code put under GPL (PALM 3.9) |
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37 | ! |
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38 | ! 1001 2012-09-13 14:08:46Z raasch |
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39 | ! all actions concerning leapfrog scheme removed |
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40 | ! |
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41 | ! 978 2012-08-09 08:28:32Z fricke |
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42 | ! restriction of the outflow damping layer in the diffusion criterion removed |
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43 | ! |
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44 | ! 866 2012-03-28 06:44:41Z raasch |
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45 | ! bugfix for timestep calculation in case of Galilei transformation, |
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46 | ! special treatment in case of mirror velocity boundary condition removed |
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47 | ! |
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48 | ! 707 2011-03-29 11:39:40Z raasch |
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49 | ! bc_lr/ns replaced by bc_lr/ns_cyc |
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50 | ! |
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51 | ! 667 2010-12-23 12:06:00Z suehring/gryschka |
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52 | ! Exchange of terminate_coupled between ocean and atmosphere via PE0 |
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53 | ! Minimum grid spacing dxyz2_min(k) is now calculated using dzw instead of dzu |
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54 | ! |
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55 | ! 622 2010-12-10 08:08:13Z raasch |
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56 | ! optional barriers included in order to speed up collective operations |
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57 | ! |
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58 | ! 343 2009-06-24 12:59:09Z maronga |
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59 | ! Additional timestep criterion in case of simulations with plant canopy |
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60 | ! Output of messages replaced by message handling routine. |
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61 | ! |
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62 | ! 222 2009-01-12 16:04:16Z letzel |
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63 | ! Implementation of a MPI-1 Coupling: replaced myid with target_id |
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64 | ! Bugfix for nonparallel execution |
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65 | ! |
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66 | ! 108 2007-08-24 15:10:38Z letzel |
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67 | ! modifications to terminate coupled runs |
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68 | ! |
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69 | ! RCS Log replace by Id keyword, revision history cleaned up |
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70 | ! |
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71 | ! Revision 1.21 2006/02/23 12:59:44 raasch |
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72 | ! nt_anz renamed current_timestep_number |
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73 | ! |
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74 | ! Revision 1.1 1997/08/11 06:26:19 raasch |
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75 | ! Initial revision |
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76 | ! |
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77 | ! |
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78 | ! Description: |
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79 | ! ------------ |
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80 | ! Compute the time step under consideration of the FCL and diffusion criterion. |
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81 | !------------------------------------------------------------------------------! |
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82 | |
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83 | USE arrays_3d |
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84 | USE cloud_parameters |
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85 | USE control_parameters |
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86 | USE cpulog |
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87 | USE grid_variables |
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88 | USE indices |
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89 | USE interfaces |
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90 | USE pegrid |
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91 | USE statistics |
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92 | |
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93 | IMPLICIT NONE |
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94 | |
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95 | INTEGER :: i, j, k, u_max_cfl_ijk(3), v_max_cfl_ijk(3) |
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96 | |
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97 | REAL :: div, dt_diff, dt_diff_l, dt_plant_canopy, dt_plant_canopy_l, & |
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98 | dt_plant_canopy_u, dt_plant_canopy_v, dt_plant_canopy_w, & |
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99 | dt_u, dt_v, dt_w, u_max_cfl, value, v_max_cfl |
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100 | |
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101 | REAL, DIMENSION(2) :: uv_gtrans, uv_gtrans_l |
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102 | REAL, DIMENSION(nzb+1:nzt) :: dxyz2_min |
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103 | |
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104 | |
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105 | |
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106 | CALL cpu_log( log_point(12), 'calculate_timestep', 'start' ) |
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107 | |
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108 | ! |
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109 | !-- In case of Galilei-transform not using the geostrophic wind as translation |
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110 | !-- velocity, compute the volume-averaged horizontal velocity components, which |
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111 | !-- will then be subtracted from the horizontal wind for the time step and |
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112 | !-- horizontal advection routines. |
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113 | IF ( galilei_transformation .AND. .NOT. use_ug_for_galilei_tr ) THEN |
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114 | IF ( flow_statistics_called ) THEN |
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115 | ! |
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116 | !-- Horizontal averages already existent, just need to average them |
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117 | !-- vertically. |
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118 | u_gtrans = 0.0 |
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119 | v_gtrans = 0.0 |
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120 | DO k = nzb+1, nzt |
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121 | u_gtrans = u_gtrans + hom(k,1,1,0) |
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122 | v_gtrans = v_gtrans + hom(k,1,2,0) |
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123 | ENDDO |
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124 | u_gtrans = u_gtrans / REAL( nzt - nzb ) |
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125 | v_gtrans = v_gtrans / REAL( nzt - nzb ) |
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126 | ELSE |
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127 | ! |
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128 | !-- Averaging over the entire model domain. |
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129 | uv_gtrans_l = 0.0 |
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130 | DO i = nxl, nxr |
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131 | DO j = nys, nyn |
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132 | DO k = nzb+1, nzt |
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133 | uv_gtrans_l(1) = uv_gtrans_l(1) + u(k,j,i) |
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134 | uv_gtrans_l(2) = uv_gtrans_l(2) + v(k,j,i) |
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135 | ENDDO |
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136 | ENDDO |
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137 | ENDDO |
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138 | uv_gtrans_l = uv_gtrans_l / REAL( (nxr-nxl+1)*(nyn-nys+1)*(nzt-nzb) ) |
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139 | #if defined( __parallel ) |
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140 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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141 | CALL MPI_ALLREDUCE( uv_gtrans_l, uv_gtrans, 2, MPI_REAL, MPI_SUM, & |
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142 | comm2d, ierr ) |
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143 | u_gtrans = uv_gtrans(1) / REAL( numprocs ) |
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144 | v_gtrans = uv_gtrans(2) / REAL( numprocs ) |
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145 | #else |
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146 | u_gtrans = uv_gtrans_l(1) |
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147 | v_gtrans = uv_gtrans_l(2) |
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148 | #endif |
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149 | ENDIF |
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150 | ENDIF |
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151 | |
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152 | ! |
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153 | !-- Determine the maxima of the velocity components. |
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154 | CALL global_min_max( nzb, nzt+1, nysg, nyng, nxlg, nxrg, u, 'abs', 0.0, & |
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155 | u_max, u_max_ijk ) |
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156 | CALL global_min_max( nzb, nzt+1, nysg, nyng, nxlg, nxrg, v, 'abs', 0.0, & |
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157 | v_max, v_max_ijk ) |
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158 | CALL global_min_max( nzb, nzt+1, nysg, nyng, nxlg, nxrg, w, 'abs', 0.0, & |
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159 | w_max, w_max_ijk ) |
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160 | |
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161 | ! |
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162 | !-- In case of Galilei transformation, the horizontal velocity maxima have |
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163 | !-- to be calculated from the transformed horizontal velocities |
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164 | IF ( galilei_transformation ) THEN |
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165 | CALL global_min_max( nzb, nzt+1, nysg, nyng, nxlg, nxrg, u, 'absoff', & |
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166 | u_gtrans, u_max_cfl, u_max_cfl_ijk ) |
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167 | CALL global_min_max( nzb, nzt+1, nysg, nyng, nxlg, nxrg, v, 'absoff', & |
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168 | v_gtrans, v_max_cfl, v_max_cfl_ijk ) |
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169 | ELSE |
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170 | u_max_cfl = u_max |
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171 | v_max_cfl = v_max |
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172 | u_max_cfl_ijk = u_max_ijk |
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173 | v_max_cfl_ijk = v_max_ijk |
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174 | ENDIF |
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175 | |
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176 | |
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177 | IF ( .NOT. dt_fixed ) THEN |
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178 | ! |
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179 | !-- Variable time step: |
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180 | ! |
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181 | !-- For each component, compute the maximum time step according to the |
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182 | !-- CFL-criterion. |
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183 | dt_u = dx / ( ABS( u_max_cfl ) + 1.0E-10 ) |
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184 | dt_v = dy / ( ABS( v_max_cfl ) + 1.0E-10 ) |
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185 | dt_w = dzu(MAX( 1, w_max_ijk(1) )) / ( ABS( w_max ) + 1.0E-10 ) |
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186 | |
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187 | ! |
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188 | !-- Compute time step according to the diffusion criterion. |
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189 | !-- First calculate minimum grid spacing which only depends on index k |
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190 | !-- Note: also at k=nzb+1 a full grid length is being assumed, although |
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191 | !-- in the Prandtl-layer friction term only dz/2 is used. |
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192 | !-- Experience from the old model seems to justify this. |
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193 | dt_diff_l = 999999.0 |
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194 | |
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195 | DO k = nzb+1, nzt |
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196 | dxyz2_min(k) = MIN( dx2, dy2, dzw(k)*dzw(k) ) * 0.125 |
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197 | ENDDO |
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198 | |
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199 | !$OMP PARALLEL private(i,j,k,value) reduction(MIN: dt_diff_l) |
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200 | !$OMP DO |
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201 | DO i = nxl, nxr |
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202 | DO j = nys, nyn |
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203 | DO k = nzb+1, nzt |
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204 | value = dxyz2_min(k) / ( MAX( kh(k,j,i), km(k,j,i) ) + 1E-20 ) |
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205 | |
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206 | dt_diff_l = MIN( value, dt_diff_l ) |
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207 | ENDDO |
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208 | ENDDO |
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209 | ENDDO |
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210 | !$OMP END PARALLEL |
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211 | #if defined( __parallel ) |
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212 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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213 | CALL MPI_ALLREDUCE( dt_diff_l, dt_diff, 1, MPI_REAL, MPI_MIN, comm2d, & |
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214 | ierr ) |
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215 | #else |
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216 | dt_diff = dt_diff_l |
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217 | #endif |
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218 | |
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219 | ! |
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220 | !-- Additional timestep criterion with plant canopies: |
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221 | !-- it is not allowed to extract more than the available momentum |
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222 | IF ( plant_canopy ) THEN |
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223 | |
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224 | dt_plant_canopy_l = 0.0 |
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225 | DO i = nxl, nxr |
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226 | DO j = nys, nyn |
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227 | DO k = nzb+1, nzt |
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228 | dt_plant_canopy_u = cdc(k,j,i) * lad_u(k,j,i) * & |
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229 | SQRT( u(k,j,i)**2 + & |
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230 | ( ( v(k,j,i-1) + & |
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231 | v(k,j,i) + & |
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232 | v(k,j+1,i) + & |
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233 | v(k,j+1,i-1) ) & |
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234 | / 4.0 )**2 + & |
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235 | ( ( w(k-1,j,i-1) + & |
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236 | w(k-1,j,i) + & |
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237 | w(k,j,i-1) + & |
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238 | w(k,j,i) ) & |
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239 | / 4.0 )**2 ) |
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240 | IF ( dt_plant_canopy_u > dt_plant_canopy_l ) THEN |
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241 | dt_plant_canopy_l = dt_plant_canopy_u |
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242 | ENDIF |
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243 | dt_plant_canopy_v = cdc(k,j,i) * lad_v(k,j,i) * & |
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244 | SQRT( ( ( u(k,j-1,i) + & |
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245 | u(k,j-1,i+1) + & |
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246 | u(k,j,i) + & |
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247 | u(k,j,i+1) ) & |
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248 | / 4.0 )**2 + & |
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249 | v(k,j,i)**2 + & |
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250 | ( ( w(k-1,j-1,i) + & |
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251 | w(k-1,j,i) + & |
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252 | w(k,j-1,i) + & |
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253 | w(k,j,i) ) & |
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254 | / 4.0 )**2 ) |
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255 | IF ( dt_plant_canopy_v > dt_plant_canopy_l ) THEN |
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256 | dt_plant_canopy_l = dt_plant_canopy_v |
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257 | ENDIF |
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258 | dt_plant_canopy_w = cdc(k,j,i) * lad_w(k,j,i) * & |
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259 | SQRT( ( ( u(k,j,i) + & |
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260 | u(k,j,i+1) + & |
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261 | u(k+1,j,i) + & |
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262 | u(k+1,j,i+1) ) & |
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263 | / 4.0 )**2 + & |
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264 | ( ( v(k,j,i) + & |
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265 | v(k,j+1,i) + & |
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266 | v(k+1,j,i) + & |
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267 | v(k+1,j+1,i) ) & |
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268 | / 4.0 )**2 + & |
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269 | w(k,j,i)**2 ) |
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270 | IF ( dt_plant_canopy_w > dt_plant_canopy_l ) THEN |
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271 | dt_plant_canopy_l = dt_plant_canopy_w |
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272 | ENDIF |
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273 | ENDDO |
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274 | ENDDO |
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275 | ENDDO |
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276 | |
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277 | IF ( dt_plant_canopy_l > 0.0 ) THEN |
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278 | ! |
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279 | !-- Invert dt_plant_canopy_l and apply a security timestep factor 0.1 |
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280 | dt_plant_canopy_l = 0.1 / dt_plant_canopy_l |
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281 | ELSE |
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282 | ! |
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283 | !-- In case of inhomogeneous plant canopy, some processors may have no |
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284 | !-- canopy at all. Then use dt_max as dummy instead. |
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285 | dt_plant_canopy_l = dt_max |
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286 | ENDIF |
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287 | |
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288 | ! |
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289 | !-- Determine the global minumum |
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290 | #if defined( __parallel ) |
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291 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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292 | CALL MPI_ALLREDUCE( dt_plant_canopy_l, dt_plant_canopy, 1, MPI_REAL, & |
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293 | MPI_MIN, comm2d, ierr ) |
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294 | #else |
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295 | dt_plant_canopy = dt_plant_canopy_l |
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296 | #endif |
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297 | |
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298 | ELSE |
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299 | ! |
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300 | !-- Use dt_diff as dummy value to avoid extra IF branches further below |
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301 | dt_plant_canopy = dt_diff |
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302 | |
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303 | ENDIF |
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304 | |
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305 | ! |
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306 | !-- The time step is the minimum of the 3-4 components and the diffusion time |
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307 | !-- step minus a reduction (cfl_factor) to be on the safe side. |
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308 | !-- The time step must not exceed the maximum allowed value. |
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309 | dt_3d = cfl_factor * MIN( dt_diff, dt_plant_canopy, dt_u, dt_v, dt_w, & |
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310 | dt_precipitation ) |
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311 | dt_3d = MIN( dt_3d, dt_max ) |
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312 | |
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313 | ! |
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314 | !-- Remember the restricting time step criterion for later output. |
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315 | IF ( MIN( dt_u, dt_v, dt_w ) < MIN( dt_diff, dt_plant_canopy ) ) THEN |
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316 | timestep_reason = 'A' |
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317 | ELSEIF ( dt_plant_canopy < dt_diff ) THEN |
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318 | timestep_reason = 'C' |
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319 | ELSE |
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320 | timestep_reason = 'D' |
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321 | ENDIF |
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322 | |
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323 | ! |
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324 | !-- Set flag if the time step becomes too small. |
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325 | IF ( dt_3d < ( 0.00001 * dt_max ) ) THEN |
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326 | stop_dt = .TRUE. |
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327 | |
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328 | WRITE( message_string, * ) 'Time step has reached minimum limit.', & |
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329 | '&dt = ', dt_3d, ' s Simulation is terminated.', & |
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330 | '&old_dt = ', old_dt, ' s', & |
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331 | '&dt_u = ', dt_u, ' s', & |
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332 | '&dt_v = ', dt_v, ' s', & |
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333 | '&dt_w = ', dt_w, ' s', & |
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334 | '&dt_diff = ', dt_diff, ' s', & |
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335 | '&dt_plant_canopy = ', dt_plant_canopy, ' s', & |
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336 | '&u_max_cfl = ', u_max_cfl, ' m/s k=', u_max_cfl_ijk(1), & |
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337 | ' j=', u_max_ijk(2), ' i=', u_max_ijk(3), & |
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338 | '&v_max_cfl = ', v_max_cfl, ' m/s k=', v_max_cfl_ijk(1), & |
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339 | ' j=', v_max_ijk(2), ' i=', v_max_ijk(3), & |
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340 | '&w_max = ', w_max, ' m/s k=', w_max_ijk(1), & |
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341 | ' j=', w_max_ijk(2), ' i=', w_max_ijk(3) |
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342 | CALL message( 'timestep', 'PA0312', 0, 1, 0, 6, 0 ) |
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343 | ! |
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344 | !-- In case of coupled runs inform the remote model of the termination |
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345 | !-- and its reason, provided the remote model has not already been |
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346 | !-- informed of another termination reason (terminate_coupled > 0) before. |
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347 | #if defined( __parallel ) |
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348 | IF ( coupling_mode /= 'uncoupled' .AND. terminate_coupled == 0 ) THEN |
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349 | terminate_coupled = 2 |
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350 | IF ( myid == 0 ) THEN |
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351 | CALL MPI_SENDRECV( & |
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352 | terminate_coupled, 1, MPI_INTEGER, target_id, 0, & |
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353 | terminate_coupled_remote, 1, MPI_INTEGER, target_id, 0, & |
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354 | comm_inter, status, ierr ) |
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355 | ENDIF |
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356 | CALL MPI_BCAST( terminate_coupled_remote, 1, MPI_INTEGER, 0, comm2d, ierr) |
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357 | ENDIF |
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358 | #endif |
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359 | ENDIF |
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360 | |
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361 | ! |
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362 | !-- Ensure a smooth value (two significant digits) of the timestep. |
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363 | div = 1000.0 |
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364 | DO WHILE ( dt_3d < div ) |
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365 | div = div / 10.0 |
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366 | ENDDO |
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367 | dt_3d = NINT( dt_3d * 100.0 / div ) * div / 100.0 |
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368 | |
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369 | ! |
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370 | !-- Adjust the time step |
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371 | old_dt = dt_3d |
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372 | |
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373 | ENDIF |
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374 | |
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375 | CALL cpu_log( log_point(12), 'calculate_timestep', 'stop' ) |
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376 | |
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377 | END SUBROUTINE timestep |
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