1 | !> @file model_1d_mod.f90 |
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2 | !------------------------------------------------------------------------------! |
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3 | ! This file is part of PALM. |
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4 | ! |
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5 | ! PALM is free software: you can redistribute it and/or modify it under the |
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6 | ! terms of the GNU General Public License as published by the Free Software |
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7 | ! Foundation, either version 3 of the License, or (at your option) any later |
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8 | ! 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 1997-2017 Leibniz Universitaet 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: model_1d_mod.f90 2339 2017-08-07 13:55:26Z suehring $ |
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27 | ! corrected timestamp in header |
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28 | ! |
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29 | ! 2338 2017-08-07 12:15:38Z gronemeier |
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30 | ! renamed init_1d_model to model_1d_mod and and formatted it as a module; |
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31 | ! reformatted output of profiles |
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32 | ! |
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33 | ! 2337 2017-08-07 08:59:53Z gronemeier |
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34 | ! revised calculation of mixing length |
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35 | ! removed rounding of time step |
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36 | ! corrected calculation of virtual potential temperature |
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37 | ! |
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38 | ! 2334 2017-08-04 11:57:04Z gronemeier |
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39 | ! set c_m = 0.4 according to Detering and Etling (1985) |
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40 | ! |
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41 | ! 2299 2017-06-29 10:14:38Z maronga |
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42 | ! Removed german text |
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43 | ! |
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44 | ! 2101 2017-01-05 16:42:31Z suehring |
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45 | ! |
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46 | ! 2059 2016-11-10 14:20:40Z maronga |
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47 | ! Corrected min/max values of Rif. |
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48 | ! |
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49 | ! 2000 2016-08-20 18:09:15Z knoop |
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50 | ! Forced header and separation lines into 80 columns |
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51 | ! |
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52 | ! 1960 2016-07-12 16:34:24Z suehring |
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53 | ! Remove passive_scalar from IF-statements, as 1D-scalar profile is effectively |
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54 | ! not used. |
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55 | ! Formatting adjustment |
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56 | ! |
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57 | ! 1808 2016-04-05 19:44:00Z raasch |
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58 | ! routine local_flush replaced by FORTRAN statement |
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59 | ! |
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60 | ! 1709 2015-11-04 14:47:01Z maronga |
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61 | ! Set initial time step to 10 s to avoid instability of the 1d model for small |
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62 | ! grid spacings |
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63 | ! |
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64 | ! 1697 2015-10-28 17:14:10Z raasch |
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65 | ! small E- and F-FORMAT changes to avoid informative compiler messages about |
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66 | ! insufficient field width |
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67 | ! |
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68 | ! 1691 2015-10-26 16:17:44Z maronga |
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69 | ! Renamed prandtl_layer to constant_flux_layer. rif is replaced by ol and zeta. |
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70 | ! |
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71 | ! 1682 2015-10-07 23:56:08Z knoop |
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72 | ! Code annotations made doxygen readable |
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73 | ! |
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74 | ! 1353 2014-04-08 15:21:23Z heinze |
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75 | ! REAL constants provided with KIND-attribute |
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76 | ! |
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77 | ! 1346 2014-03-27 13:18:20Z heinze |
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78 | ! Bugfix: REAL constants provided with KIND-attribute especially in call of |
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79 | ! intrinsic function like MAX, MIN, SIGN |
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80 | ! |
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81 | ! 1322 2014-03-20 16:38:49Z raasch |
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82 | ! REAL functions provided with KIND-attribute |
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83 | ! |
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84 | ! 1320 2014-03-20 08:40:49Z raasch |
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85 | ! ONLY-attribute added to USE-statements, |
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86 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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87 | ! kinds are defined in new module kinds, |
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88 | ! revision history before 2012 removed, |
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89 | ! comment fields (!:) to be used for variable explanations added to |
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90 | ! all variable declaration statements |
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91 | ! |
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92 | ! 1036 2012-10-22 13:43:42Z raasch |
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93 | ! code put under GPL (PALM 3.9) |
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94 | ! |
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95 | ! 1015 2012-09-27 09:23:24Z raasch |
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96 | ! adjustment of mixing length to the Prandtl mixing length at first grid point |
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97 | ! above ground removed |
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98 | ! |
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99 | ! 1001 2012-09-13 14:08:46Z raasch |
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100 | ! all actions concerning leapfrog scheme removed |
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101 | ! |
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102 | ! 996 2012-09-07 10:41:47Z raasch |
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103 | ! little reformatting |
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104 | ! |
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105 | ! 978 2012-08-09 08:28:32Z fricke |
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106 | ! roughness length for scalar quantities z0h1d added |
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107 | ! |
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108 | ! Revision 1.1 1998/03/09 16:22:10 raasch |
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109 | ! Initial revision |
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110 | ! |
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111 | ! |
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112 | ! Description: |
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113 | ! ------------ |
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114 | !> 1D-model to initialize the 3D-arrays. |
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115 | !> The temperature profile is set as steady and a corresponding steady solution |
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116 | !> of the wind profile is being computed. |
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117 | !> All subroutines required can be found within this file. |
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118 | !> |
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119 | !> @todo harmonize code with new surface_layer_fluxes module |
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120 | !> @bug 1D model crashes when using small grid spacings in the order of 1 m |
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121 | !------------------------------------------------------------------------------! |
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122 | MODULE model_1d_mod |
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123 | |
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124 | USE arrays_3d, & |
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125 | ONLY: dd2zu, ddzu, ddzw, dzu, l_grid, pt_init, q_init, ug, u_init, & |
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126 | vg, v_init, zu |
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127 | |
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128 | USE control_parameters, & |
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129 | ONLY: constant_diffusion, constant_flux_layer, dissipation_1d, f, g, & |
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130 | humidity, ibc_e_b, intermediate_timestep_count, & |
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131 | intermediate_timestep_count_max, kappa, km_constant, & |
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132 | message_string, mixing_length_1d, prandtl_number, & |
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133 | roughness_length, run_description_header, simulated_time_chr, timestep_scheme, tsc, z0h_factor |
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134 | |
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135 | USE indices, & |
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136 | ONLY: nzb, nzb_diff, nzt |
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137 | |
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138 | USE kinds |
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139 | |
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140 | USE pegrid |
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141 | |
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142 | |
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143 | IMPLICIT NONE |
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144 | |
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145 | |
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146 | INTEGER(iwp) :: current_timestep_number_1d = 0 !< current timestep number (1d-model) |
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147 | INTEGER(iwp) :: damp_level_ind_1d !< lower grid index of damping layer (1d-model) !# |
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148 | |
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149 | LOGICAL :: run_control_header_1d = .FALSE. !< flag for output of run control header (1d-model) |
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150 | LOGICAL :: stop_dt_1d = .FALSE. !< termination flag, used in case of too small timestep (1d-model) |
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151 | |
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152 | REAL(wp) :: c_m = 0.4_wp !< model constant, 0.4 according to Detering and Etling (1985) |
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153 | REAL(wp) :: damp_level_1d = -1.0_wp !< namelist parameter !# |
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154 | REAL(wp) :: dt_1d = 60.0_wp !< dynamic timestep (1d-model) |
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155 | REAL(wp) :: dt_max_1d = 300.0_wp !< timestep limit (1d-model) |
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156 | REAL(wp) :: dt_pr_1d = 9999999.9_wp !< namelist parameter !# |
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157 | REAL(wp) :: dt_run_control_1d = 60.0_wp !< namelist parameter !# |
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158 | REAL(wp) :: end_time_1d = 864000.0_wp !< namelist parameter !# |
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159 | REAL(wp) :: qs1d !< characteristic humidity scale (1d-model) |
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160 | REAL(wp) :: simulated_time_1d = 0.0_wp !< updated simulated time (1d-model) |
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161 | REAL(wp) :: time_pr_1d = 0.0_wp !< updated simulated time for profile output (1d-model) |
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162 | REAL(wp) :: time_run_control_1d = 0.0_wp !< updated simulated time for run-control output (1d-model) |
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163 | REAL(wp) :: ts1d !< characteristic temperature scale (1d-model) |
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164 | REAL(wp) :: us1d !< friction velocity (1d-model) !# |
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165 | REAL(wp) :: usws1d !< u-component of the momentum flux (1d-model) !# |
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166 | REAL(wp) :: vsws1d !< v-component of the momentum flux (1d-model) !# |
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167 | REAL(wp) :: z01d !< roughness length for momentum (1d-model) |
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168 | REAL(wp) :: z0h1d !< roughness length for scalars (1d-model) |
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169 | |
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170 | |
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171 | REAL(wp), DIMENSION(:), ALLOCATABLE :: e1d !< tke (1d-model) !# |
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172 | REAL(wp), DIMENSION(:), ALLOCATABLE :: e1d_p !< prognostic value of tke (1d-model) |
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173 | REAL(wp), DIMENSION(:), ALLOCATABLE :: kh1d !< turbulent diffusion coefficient for heat (1d-model) !# |
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174 | REAL(wp), DIMENSION(:), ALLOCATABLE :: km1d !< turbulent diffusion coefficient for momentum (1d-model)!# |
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175 | REAL(wp), DIMENSION(:), ALLOCATABLE :: l_black !< mixing length Blackadar (1d-model) |
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176 | REAL(wp), DIMENSION(:), ALLOCATABLE :: l1d !< mixing length for turbulent diffusion coefficients (1d-model) !# |
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177 | REAL(wp), DIMENSION(:), ALLOCATABLE :: l1d_diss !< mixing length for dissipation (1d-model) |
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178 | REAL(wp), DIMENSION(:), ALLOCATABLE :: rif1d !< Richardson flux number (1d-model) !# |
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179 | REAL(wp), DIMENSION(:), ALLOCATABLE :: te_e !< tendency of e (1d-model) |
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180 | REAL(wp), DIMENSION(:), ALLOCATABLE :: te_em !< weighted tendency of e for previous sub-timestep (1d-model) |
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181 | REAL(wp), DIMENSION(:), ALLOCATABLE :: te_u !< tendency of u (1d-model) |
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182 | REAL(wp), DIMENSION(:), ALLOCATABLE :: te_um !< weighted tendency of u for previous sub-timestep (1d-model) |
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183 | REAL(wp), DIMENSION(:), ALLOCATABLE :: te_v !< tendency of v (1d-model) |
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184 | REAL(wp), DIMENSION(:), ALLOCATABLE :: te_vm !< weighted tendency of v for previous sub-timestep (1d-model) |
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185 | REAL(wp), DIMENSION(:), ALLOCATABLE :: u1d !< u-velocity component (1d-model) !# |
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186 | REAL(wp), DIMENSION(:), ALLOCATABLE :: u1d_p !< prognostic value of u-velocity component (1d-model) |
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187 | REAL(wp), DIMENSION(:), ALLOCATABLE :: v1d !< v-velocity component (1d-model) !# |
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188 | REAL(wp), DIMENSION(:), ALLOCATABLE :: v1d_p !< prognostic value of v-velocity component (1d-model) |
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189 | |
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190 | ! |
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191 | !-- Initialize 1D model |
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192 | INTERFACE init_1d_model |
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193 | MODULE PROCEDURE init_1d_model |
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194 | END INTERFACE init_1d_model |
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195 | |
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196 | ! |
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197 | !-- Print profiles |
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198 | INTERFACE print_1d_model |
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199 | MODULE PROCEDURE print_1d_model |
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200 | END INTERFACE print_1d_model |
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201 | |
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202 | ! |
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203 | !-- Print run control information |
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204 | INTERFACE run_control_1d |
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205 | MODULE PROCEDURE run_control_1d |
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206 | END INTERFACE run_control_1d |
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207 | |
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208 | ! |
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209 | !-- Main procedure |
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210 | INTERFACE time_integration_1d |
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211 | MODULE PROCEDURE time_integration_1d |
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212 | END INTERFACE time_integration_1d |
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213 | |
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214 | ! |
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215 | !-- Calculate time step |
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216 | INTERFACE timestep_1d |
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217 | MODULE PROCEDURE timestep_1d |
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218 | END INTERFACE timestep_1d |
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219 | |
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220 | SAVE |
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221 | |
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222 | PRIVATE |
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223 | ! |
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224 | !-- Public interfaces |
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225 | PUBLIC init_1d_model |
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226 | |
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227 | ! |
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228 | !-- Public variables |
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229 | PUBLIC damp_level_1d, damp_level_ind_1d, dt_pr_1d, dt_run_control_1d, & |
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230 | e1d, end_time_1d, kh1d, km1d, l1d, rif1d, u1d, us1d, usws1d, v1d, & |
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231 | vsws1d |
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232 | |
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233 | |
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234 | CONTAINS |
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235 | |
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236 | SUBROUTINE init_1d_model |
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237 | |
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238 | IMPLICIT NONE |
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239 | |
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240 | CHARACTER (LEN=9) :: time_to_string !< |
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241 | |
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242 | INTEGER(iwp) :: k !< |
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243 | |
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244 | REAL(wp) :: lambda !< |
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245 | |
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246 | ! |
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247 | !-- Allocate required 1D-arrays |
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248 | ALLOCATE( e1d(nzb:nzt+1), e1d_p(nzb:nzt+1), kh1d(nzb:nzt+1), & |
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249 | km1d(nzb:nzt+1), l_black(nzb:nzt+1), l1d(nzb:nzt+1), & |
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250 | l1d_diss(nzb:nzt+1), rif1d(nzb:nzt+1), te_e(nzb:nzt+1), & |
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251 | te_em(nzb:nzt+1), te_u(nzb:nzt+1), te_um(nzb:nzt+1), & |
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252 | te_v(nzb:nzt+1), te_vm(nzb:nzt+1), u1d(nzb:nzt+1), & |
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253 | u1d_p(nzb:nzt+1), v1d(nzb:nzt+1), v1d_p(nzb:nzt+1) ) |
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254 | |
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255 | ! |
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256 | !-- Initialize arrays |
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257 | IF ( constant_diffusion ) THEN |
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258 | km1d = km_constant |
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259 | kh1d = km_constant / prandtl_number |
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260 | ELSE |
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261 | e1d = 0.0_wp; e1d_p = 0.0_wp |
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262 | kh1d = 0.0_wp; km1d = 0.0_wp |
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263 | rif1d = 0.0_wp |
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264 | ! |
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265 | !-- Compute the mixing length |
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266 | l_black(nzb) = 0.0_wp |
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267 | |
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268 | IF ( TRIM( mixing_length_1d ) == 'blackadar' ) THEN |
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269 | ! |
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270 | !-- Blackadar mixing length |
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271 | IF ( f /= 0.0_wp ) THEN |
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272 | lambda = 2.7E-4_wp * SQRT( ug(nzt+1)**2 + vg(nzt+1)**2 ) / & |
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273 | ABS( f ) + 1E-10_wp |
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274 | ELSE |
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275 | lambda = 30.0_wp |
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276 | ENDIF |
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277 | |
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278 | DO k = nzb+1, nzt+1 |
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279 | l_black(k) = kappa * zu(k) / ( 1.0_wp + kappa * zu(k) / lambda ) |
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280 | ENDDO |
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281 | |
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282 | ELSEIF ( TRIM( mixing_length_1d ) == 'as_in_3d_model' ) THEN |
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283 | ! |
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284 | !-- Use the same mixing length as in 3D model |
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285 | l_black(1:nzt) = l_grid |
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286 | l_black(nzt+1) = l_black(nzt) |
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287 | |
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288 | ENDIF |
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289 | ENDIF |
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290 | l1d = l_black |
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291 | l1d_diss = l_black |
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292 | u1d = u_init |
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293 | u1d_p = u_init |
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294 | v1d = v_init |
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295 | v1d_p = v_init |
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296 | |
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297 | ! |
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298 | !-- Set initial horizontal velocities at the lowest grid levels to a very small |
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299 | !-- value in order to avoid too small time steps caused by the diffusion limit |
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300 | !-- in the initial phase of a run (at k=1, dz/2 occurs in the limiting formula!) |
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301 | u1d(0:1) = 0.1_wp |
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302 | u1d_p(0:1) = 0.1_wp |
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303 | v1d(0:1) = 0.1_wp |
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304 | v1d_p(0:1) = 0.1_wp |
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305 | |
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306 | ! |
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307 | !-- For u*, theta* and the momentum fluxes plausible values are set |
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308 | IF ( constant_flux_layer ) THEN |
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309 | us1d = 0.1_wp ! without initial friction the flow would not change |
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310 | ELSE |
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311 | e1d(nzb+1) = 1.0_wp |
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312 | km1d(nzb+1) = 1.0_wp |
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313 | us1d = 0.0_wp |
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314 | ENDIF |
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315 | ts1d = 0.0_wp |
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316 | usws1d = 0.0_wp |
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317 | vsws1d = 0.0_wp |
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318 | z01d = roughness_length |
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319 | z0h1d = z0h_factor * z01d |
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320 | IF ( humidity ) qs1d = 0.0_wp |
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321 | |
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322 | ! |
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323 | !-- Tendencies must be preset in order to avoid runtime errors within the |
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324 | !-- first Runge-Kutta step |
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325 | te_em = 0.0_wp |
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326 | te_um = 0.0_wp |
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327 | te_vm = 0.0_wp |
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328 | |
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329 | ! |
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330 | !-- Set model constant |
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331 | IF ( dissipation_1d == 'as_in_3d_model' ) c_m = 0.1_wp |
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332 | |
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333 | ! |
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334 | !-- Set start time in hh:mm:ss - format |
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335 | simulated_time_chr = time_to_string( simulated_time_1d ) |
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336 | |
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337 | ! |
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338 | !-- Integrate the 1D-model equations using the Runge-Kutta scheme |
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339 | CALL time_integration_1d |
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340 | |
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341 | |
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342 | END SUBROUTINE init_1d_model |
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343 | |
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344 | |
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345 | |
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346 | !------------------------------------------------------------------------------! |
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347 | ! Description: |
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348 | ! ------------ |
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349 | !> Runge-Kutta time differencing scheme for the 1D-model. |
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350 | !------------------------------------------------------------------------------! |
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351 | |
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352 | SUBROUTINE time_integration_1d |
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353 | |
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354 | IMPLICIT NONE |
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355 | |
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356 | CHARACTER (LEN=9) :: time_to_string !< |
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357 | |
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358 | INTEGER(iwp) :: k !< loop index |
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359 | |
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360 | REAL(wp) :: a !< auxiliary variable |
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361 | REAL(wp) :: b !< auxiliary variable |
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362 | REAL(wp) :: dissipation !< dissipation of TKE |
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363 | REAL(wp) :: dpt_dz !< vertical temperature gradient |
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364 | REAL(wp) :: flux !< vertical temperature gradient |
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365 | REAL(wp) :: kmzm !< Km(z-dz/2) |
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366 | REAL(wp) :: kmzp !< Km(z+dz/2) |
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367 | REAL(wp) :: l_stable !< mixing length for stable case |
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368 | REAL(wp) :: pt_0 !< reference temperature |
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369 | REAL(wp) :: uv_total !< horizontal wind speed |
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370 | |
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371 | ! |
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372 | !-- Determine the time step at the start of a 1D-simulation and |
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373 | !-- determine and printout quantities used for run control |
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374 | dt_1d = 10.0_wp |
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375 | CALL run_control_1d |
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376 | |
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377 | ! |
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378 | !-- Start of time loop |
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379 | DO WHILE ( simulated_time_1d < end_time_1d .AND. .NOT. stop_dt_1d ) |
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380 | |
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381 | ! |
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382 | !-- Depending on the timestep scheme, carry out one or more intermediate |
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383 | !-- timesteps |
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384 | |
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385 | intermediate_timestep_count = 0 |
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386 | DO WHILE ( intermediate_timestep_count < & |
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387 | intermediate_timestep_count_max ) |
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388 | |
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389 | intermediate_timestep_count = intermediate_timestep_count + 1 |
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390 | |
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391 | CALL timestep_scheme_steering |
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392 | |
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393 | ! |
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394 | !-- Compute all tendency terms. If a Prandtl-layer is simulated, k starts |
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395 | !-- at nzb+2. |
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396 | DO k = nzb_diff, nzt |
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397 | |
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398 | kmzm = 0.5_wp * ( km1d(k-1) + km1d(k) ) |
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399 | kmzp = 0.5_wp * ( km1d(k) + km1d(k+1) ) |
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400 | ! |
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401 | !-- u-component |
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402 | te_u(k) = f * ( v1d(k) - vg(k) ) + ( & |
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403 | kmzp * ( u1d(k+1) - u1d(k) ) * ddzu(k+1) & |
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404 | - kmzm * ( u1d(k) - u1d(k-1) ) * ddzu(k) & |
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405 | ) * ddzw(k) |
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406 | ! |
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407 | !-- v-component |
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408 | te_v(k) = -f * ( u1d(k) - ug(k) ) + ( & |
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409 | kmzp * ( v1d(k+1) - v1d(k) ) * ddzu(k+1) & |
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410 | - kmzm * ( v1d(k) - v1d(k-1) ) * ddzu(k) & |
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411 | ) * ddzw(k) |
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412 | ENDDO |
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413 | IF ( .NOT. constant_diffusion ) THEN |
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414 | DO k = nzb_diff, nzt |
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415 | ! |
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416 | !-- TKE |
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417 | kmzm = 0.5_wp * ( km1d(k-1) + km1d(k) ) |
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418 | kmzp = 0.5_wp * ( km1d(k) + km1d(k+1) ) |
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419 | IF ( .NOT. humidity ) THEN |
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420 | pt_0 = pt_init(k) |
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421 | flux = ( pt_init(k+1)-pt_init(k-1) ) * dd2zu(k) |
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422 | ELSE |
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423 | pt_0 = pt_init(k) * ( 1.0_wp + 0.61_wp * q_init(k) ) |
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424 | flux = ( ( pt_init(k+1) - pt_init(k-1) ) + & |
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425 | 0.61_wp * ( pt_init(k+1) * q_init(k+1) - & |
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426 | pt_init(k-1) * q_init(k-1) ) & |
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427 | ) * dd2zu(k) |
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428 | ENDIF |
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429 | |
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430 | IF ( dissipation_1d == 'detering' ) THEN |
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431 | ! |
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432 | !-- According to Detering, c_e=c_m^3 |
---|
433 | dissipation = c_m**3 * e1d(k) * SQRT( e1d(k) ) / l1d_diss(k) |
---|
434 | ELSEIF ( dissipation_1d == 'as_in_3d_model' ) THEN |
---|
435 | dissipation = ( 0.19_wp & |
---|
436 | + 0.74_wp * l1d_diss(k) / l_grid(k) & |
---|
437 | ) * e1d(k) * SQRT( e1d(k) ) / l1d_diss(k) |
---|
438 | ENDIF |
---|
439 | |
---|
440 | te_e(k) = km1d(k) * ( ( ( u1d(k+1) - u1d(k-1) ) * dd2zu(k) )**2& |
---|
441 | + ( ( v1d(k+1) - v1d(k-1) ) * dd2zu(k) )**2& |
---|
442 | ) & |
---|
443 | - g / pt_0 * kh1d(k) * flux & |
---|
444 | + ( & |
---|
445 | kmzp * ( e1d(k+1) - e1d(k) ) * ddzu(k+1) & |
---|
446 | - kmzm * ( e1d(k) - e1d(k-1) ) * ddzu(k) & |
---|
447 | ) * ddzw(k) & |
---|
448 | - dissipation |
---|
449 | ENDDO |
---|
450 | ENDIF |
---|
451 | |
---|
452 | ! |
---|
453 | !-- Tendency terms at the top of the Prandtl-layer. |
---|
454 | !-- Finite differences of the momentum fluxes are computed using half the |
---|
455 | !-- normal grid length (2.0*ddzw(k)) for the sake of enhanced accuracy |
---|
456 | IF ( constant_flux_layer ) THEN |
---|
457 | |
---|
458 | k = nzb+1 |
---|
459 | kmzm = 0.5_wp * ( km1d(k-1) + km1d(k) ) |
---|
460 | kmzp = 0.5_wp * ( km1d(k) + km1d(k+1) ) |
---|
461 | IF ( .NOT. humidity ) THEN |
---|
462 | pt_0 = pt_init(k) |
---|
463 | flux = ( pt_init(k+1)-pt_init(k-1) ) * dd2zu(k) |
---|
464 | ELSE |
---|
465 | pt_0 = pt_init(k) * ( 1.0_wp + 0.61_wp * q_init(k) ) |
---|
466 | flux = ( ( pt_init(k+1) - pt_init(k-1) ) + & |
---|
467 | 0.61_wp * ( pt_init(k+1) * q_init(k+1) - & |
---|
468 | pt_init(k-1) * q_init(k-1) ) & |
---|
469 | ) * dd2zu(k) |
---|
470 | ENDIF |
---|
471 | |
---|
472 | IF ( dissipation_1d == 'detering' ) THEN |
---|
473 | ! |
---|
474 | !-- According to Detering, c_e=0.064 |
---|
475 | dissipation = 0.064_wp * e1d(k) * SQRT( e1d(k) ) / l1d_diss(k) |
---|
476 | ELSEIF ( dissipation_1d == 'as_in_3d_model' ) THEN |
---|
477 | dissipation = ( 0.19_wp + 0.74_wp * l1d_diss(k) / l_grid(k) ) & |
---|
478 | * e1d(k) * SQRT( e1d(k) ) / l1d_diss(k) |
---|
479 | ENDIF |
---|
480 | |
---|
481 | ! |
---|
482 | !-- u-component |
---|
483 | te_u(k) = f * ( v1d(k) - vg(k) ) + ( & |
---|
484 | kmzp * ( u1d(k+1) - u1d(k) ) * ddzu(k+1) + usws1d & |
---|
485 | ) * 2.0_wp * ddzw(k) |
---|
486 | ! |
---|
487 | !-- v-component |
---|
488 | te_v(k) = -f * ( u1d(k) - ug(k) ) + ( & |
---|
489 | kmzp * ( v1d(k+1) - v1d(k) ) * ddzu(k+1) + vsws1d & |
---|
490 | ) * 2.0_wp * ddzw(k) |
---|
491 | ! |
---|
492 | !-- TKE |
---|
493 | te_e(k) = km1d(k) * ( ( ( u1d(k+1) - u1d(k-1) ) * dd2zu(k) )**2 & |
---|
494 | + ( ( v1d(k+1) - v1d(k-1) ) * dd2zu(k) )**2 & |
---|
495 | ) & |
---|
496 | - g / pt_0 * kh1d(k) * flux & |
---|
497 | + ( & |
---|
498 | kmzp * ( e1d(k+1) - e1d(k) ) * ddzu(k+1) & |
---|
499 | - kmzm * ( e1d(k) - e1d(k-1) ) * ddzu(k) & |
---|
500 | ) * ddzw(k) & |
---|
501 | - dissipation |
---|
502 | ENDIF |
---|
503 | |
---|
504 | ! |
---|
505 | !-- Prognostic equations for all 1D variables |
---|
506 | DO k = nzb+1, nzt |
---|
507 | |
---|
508 | u1d_p(k) = u1d(k) + dt_1d * ( tsc(2) * te_u(k) + & |
---|
509 | tsc(3) * te_um(k) ) |
---|
510 | v1d_p(k) = v1d(k) + dt_1d * ( tsc(2) * te_v(k) + & |
---|
511 | tsc(3) * te_vm(k) ) |
---|
512 | |
---|
513 | ENDDO |
---|
514 | IF ( .NOT. constant_diffusion ) THEN |
---|
515 | DO k = nzb+1, nzt |
---|
516 | |
---|
517 | e1d_p(k) = e1d(k) + dt_1d * ( tsc(2) * te_e(k) + & |
---|
518 | tsc(3) * te_em(k) ) |
---|
519 | |
---|
520 | ENDDO |
---|
521 | ! |
---|
522 | !-- Eliminate negative TKE values, which can result from the |
---|
523 | !-- integration due to numerical inaccuracies. In such cases the TKE |
---|
524 | !-- value is reduced to 10 percent of its old value. |
---|
525 | WHERE ( e1d_p < 0.0_wp ) e1d_p = 0.1_wp * e1d |
---|
526 | ENDIF |
---|
527 | |
---|
528 | ! |
---|
529 | !-- Calculate tendencies for the next Runge-Kutta step |
---|
530 | IF ( timestep_scheme(1:5) == 'runge' ) THEN |
---|
531 | IF ( intermediate_timestep_count == 1 ) THEN |
---|
532 | |
---|
533 | DO k = nzb+1, nzt |
---|
534 | te_um(k) = te_u(k) |
---|
535 | te_vm(k) = te_v(k) |
---|
536 | ENDDO |
---|
537 | |
---|
538 | IF ( .NOT. constant_diffusion ) THEN |
---|
539 | DO k = nzb+1, nzt |
---|
540 | te_em(k) = te_e(k) |
---|
541 | ENDDO |
---|
542 | ENDIF |
---|
543 | |
---|
544 | ELSEIF ( intermediate_timestep_count < & |
---|
545 | intermediate_timestep_count_max ) THEN |
---|
546 | |
---|
547 | DO k = nzb+1, nzt |
---|
548 | te_um(k) = -9.5625_wp * te_u(k) + 5.3125_wp * te_um(k) |
---|
549 | te_vm(k) = -9.5625_wp * te_v(k) + 5.3125_wp * te_vm(k) |
---|
550 | ENDDO |
---|
551 | |
---|
552 | IF ( .NOT. constant_diffusion ) THEN |
---|
553 | DO k = nzb+1, nzt |
---|
554 | te_em(k) = -9.5625_wp * te_e(k) + 5.3125_wp * te_em(k) |
---|
555 | ENDDO |
---|
556 | ENDIF |
---|
557 | |
---|
558 | ENDIF |
---|
559 | ENDIF |
---|
560 | |
---|
561 | |
---|
562 | ! |
---|
563 | !-- Boundary conditions for the prognostic variables. |
---|
564 | !-- At the top boundary (nzt+1) u,v and e keep their initial values |
---|
565 | !-- (ug(nzt+1), vg(nzt+1), 0). |
---|
566 | !-- At the bottom boundary, Dirichlet condition is used for u and v (0) |
---|
567 | !-- and Neumann condition for e (e(nzb)=e(nzb+1)). |
---|
568 | u1d_p(nzb) = 0.0_wp |
---|
569 | v1d_p(nzb) = 0.0_wp |
---|
570 | |
---|
571 | ! |
---|
572 | !-- Swap the time levels in preparation for the next time step. |
---|
573 | u1d = u1d_p |
---|
574 | v1d = v1d_p |
---|
575 | IF ( .NOT. constant_diffusion ) THEN |
---|
576 | e1d = e1d_p |
---|
577 | ENDIF |
---|
578 | |
---|
579 | ! |
---|
580 | !-- Compute diffusion quantities |
---|
581 | IF ( .NOT. constant_diffusion ) THEN |
---|
582 | |
---|
583 | ! |
---|
584 | !-- First compute the vertical fluxes in the Prandtl-layer |
---|
585 | IF ( constant_flux_layer ) THEN |
---|
586 | ! |
---|
587 | !-- Compute theta* using Rif numbers of the previous time step |
---|
588 | IF ( rif1d(nzb+1) >= 0.0_wp ) THEN |
---|
589 | ! |
---|
590 | !-- Stable stratification |
---|
591 | ts1d = kappa * ( pt_init(nzb+1) - pt_init(nzb) ) / & |
---|
592 | ( LOG( zu(nzb+1) / z0h1d ) + 5.0_wp * rif1d(nzb+1) * & |
---|
593 | ( zu(nzb+1) - z0h1d ) / zu(nzb+1) & |
---|
594 | ) |
---|
595 | ELSE |
---|
596 | ! |
---|
597 | !-- Unstable stratification |
---|
598 | a = SQRT( 1.0_wp - 16.0_wp * rif1d(nzb+1) ) |
---|
599 | b = SQRT( 1.0_wp - 16.0_wp * rif1d(nzb+1) / & |
---|
600 | zu(nzb+1) * z0h1d ) |
---|
601 | |
---|
602 | ts1d = kappa * ( pt_init(nzb+1) - pt_init(nzb) ) / & |
---|
603 | LOG( (a-1.0_wp) / (a+1.0_wp) * & |
---|
604 | (b+1.0_wp) / (b-1.0_wp) ) |
---|
605 | ENDIF |
---|
606 | |
---|
607 | ENDIF ! constant_flux_layer |
---|
608 | |
---|
609 | ! |
---|
610 | !-- Compute the Richardson-flux numbers, |
---|
611 | !-- first at the top of the Prandtl-layer using u* of the previous |
---|
612 | !-- time step (+1E-30, if u* = 0), then in the remaining area. There |
---|
613 | !-- the rif-numbers of the previous time step are used. |
---|
614 | |
---|
615 | IF ( constant_flux_layer ) THEN |
---|
616 | IF ( .NOT. humidity ) THEN |
---|
617 | pt_0 = pt_init(nzb+1) |
---|
618 | flux = ts1d |
---|
619 | ELSE |
---|
620 | pt_0 = pt_init(nzb+1) * ( 1.0_wp + 0.61_wp * q_init(nzb+1) ) |
---|
621 | flux = ts1d + 0.61_wp * pt_init(k) * qs1d |
---|
622 | ENDIF |
---|
623 | rif1d(nzb+1) = zu(nzb+1) * kappa * g * flux / & |
---|
624 | ( pt_0 * ( us1d**2 + 1E-30_wp ) ) |
---|
625 | ENDIF |
---|
626 | |
---|
627 | DO k = nzb_diff, nzt |
---|
628 | IF ( .NOT. humidity ) THEN |
---|
629 | pt_0 = pt_init(k) |
---|
630 | flux = ( pt_init(k+1) - pt_init(k-1) ) * dd2zu(k) |
---|
631 | ELSE |
---|
632 | pt_0 = pt_init(k) * ( 1.0_wp + 0.61_wp * q_init(k) ) |
---|
633 | flux = ( ( pt_init(k+1) - pt_init(k-1) ) & |
---|
634 | + 0.61_wp & |
---|
635 | * ( pt_init(k+1) * q_init(k+1) & |
---|
636 | - pt_init(k-1) * q_init(k-1) ) & |
---|
637 | ) * dd2zu(k) |
---|
638 | ENDIF |
---|
639 | IF ( rif1d(k) >= 0.0_wp ) THEN |
---|
640 | rif1d(k) = g / pt_0 * flux / & |
---|
641 | ( ( ( u1d(k+1) - u1d(k-1) ) * dd2zu(k) )**2 & |
---|
642 | + ( ( v1d(k+1) - v1d(k-1) ) * dd2zu(k) )**2 & |
---|
643 | + 1E-30_wp & |
---|
644 | ) |
---|
645 | ELSE |
---|
646 | rif1d(k) = g / pt_0 * flux / & |
---|
647 | ( ( ( u1d(k+1) - u1d(k-1) ) * dd2zu(k) )**2 & |
---|
648 | + ( ( v1d(k+1) - v1d(k-1) ) * dd2zu(k) )**2 & |
---|
649 | + 1E-30_wp & |
---|
650 | ) * ( 1.0_wp - 16.0_wp * rif1d(k) )**0.25_wp |
---|
651 | ENDIF |
---|
652 | ENDDO |
---|
653 | ! |
---|
654 | !-- Richardson-numbers must remain restricted to a realistic value |
---|
655 | !-- range. It is exceeded excessively for very small velocities |
---|
656 | !-- (u,v --> 0). |
---|
657 | WHERE ( rif1d < -5.0_wp ) rif1d = -5.0_wp |
---|
658 | WHERE ( rif1d > 1.0_wp ) rif1d = 1.0_wp |
---|
659 | |
---|
660 | ! |
---|
661 | !-- Compute u* from the absolute velocity value |
---|
662 | IF ( constant_flux_layer ) THEN |
---|
663 | uv_total = SQRT( u1d(nzb+1)**2 + v1d(nzb+1)**2 ) |
---|
664 | |
---|
665 | IF ( rif1d(nzb+1) >= 0.0_wp ) THEN |
---|
666 | ! |
---|
667 | !-- Stable stratification |
---|
668 | us1d = kappa * uv_total / ( & |
---|
669 | LOG( zu(nzb+1) / z01d ) + 5.0_wp * rif1d(nzb+1) * & |
---|
670 | ( zu(nzb+1) - z01d ) / zu(nzb+1) & |
---|
671 | ) |
---|
672 | ELSE |
---|
673 | ! |
---|
674 | !-- Unstable stratification |
---|
675 | a = 1.0_wp / SQRT( SQRT( 1.0_wp - 16.0_wp * rif1d(nzb+1) ) ) |
---|
676 | b = 1.0_wp / SQRT( SQRT( 1.0_wp - 16.0_wp * rif1d(nzb+1) / & |
---|
677 | zu(nzb+1) * z01d ) ) |
---|
678 | us1d = kappa * uv_total / ( & |
---|
679 | LOG( (1.0_wp+b) / (1.0_wp-b) * (1.0_wp-a) / & |
---|
680 | (1.0_wp+a) ) + & |
---|
681 | 2.0_wp * ( ATAN( b ) - ATAN( a ) ) & |
---|
682 | ) |
---|
683 | ENDIF |
---|
684 | |
---|
685 | ! |
---|
686 | !-- Compute the momentum fluxes for the diffusion terms |
---|
687 | usws1d = - u1d(nzb+1) / uv_total * us1d**2 |
---|
688 | vsws1d = - v1d(nzb+1) / uv_total * us1d**2 |
---|
689 | |
---|
690 | ! |
---|
691 | !-- Boundary condition for the turbulent kinetic energy at the top |
---|
692 | !-- of the Prandtl-layer. c_m = 0.4 according to Detering. |
---|
693 | !-- Additional Neumann condition de/dz = 0 at nzb is set to ensure |
---|
694 | !-- compatibility with the 3D model. |
---|
695 | IF ( ibc_e_b == 2 ) THEN |
---|
696 | e1d(nzb+1) = ( us1d / c_m )**2 |
---|
697 | ENDIF |
---|
698 | e1d(nzb) = e1d(nzb+1) |
---|
699 | |
---|
700 | IF ( humidity ) THEN |
---|
701 | ! |
---|
702 | !-- Compute q* |
---|
703 | IF ( rif1d(nzb+1) >= 0.0_wp ) THEN |
---|
704 | ! |
---|
705 | !-- Stable stratification |
---|
706 | qs1d = kappa * ( q_init(nzb+1) - q_init(nzb) ) / & |
---|
707 | ( LOG( zu(nzb+1) / z0h1d ) + 5.0_wp * rif1d(nzb+1) * & |
---|
708 | ( zu(nzb+1) - z0h1d ) / zu(nzb+1) & |
---|
709 | ) |
---|
710 | ELSE |
---|
711 | ! |
---|
712 | !-- Unstable stratification |
---|
713 | a = SQRT( 1.0_wp - 16.0_wp * rif1d(nzb+1) ) |
---|
714 | b = SQRT( 1.0_wp - 16.0_wp * rif1d(nzb+1) / & |
---|
715 | zu(nzb+1) * z0h1d ) |
---|
716 | qs1d = kappa * ( q_init(nzb+1) - q_init(nzb) ) / & |
---|
717 | LOG( (a-1.0_wp) / (a+1.0_wp) * & |
---|
718 | (b+1.0_wp) / (b-1.0_wp) ) |
---|
719 | ENDIF |
---|
720 | ELSE |
---|
721 | qs1d = 0.0_wp |
---|
722 | ENDIF |
---|
723 | |
---|
724 | ENDIF ! constant_flux_layer |
---|
725 | |
---|
726 | ! |
---|
727 | !-- Compute the diabatic mixing length. The unstable stratification |
---|
728 | !-- must not be considered for l1d (km1d) as it is already considered |
---|
729 | !-- in the dissipation of TKE via l1d_diss. Otherwise, km1d would be |
---|
730 | !-- too large. |
---|
731 | IF ( mixing_length_1d == 'blackadar' ) THEN |
---|
732 | DO k = nzb+1, nzt |
---|
733 | IF ( rif1d(k) >= 0.0_wp ) THEN |
---|
734 | l1d(k) = l_black(k) / ( 1.0_wp + 5.0_wp * rif1d(k) ) |
---|
735 | l1d_diss(k) = l1d(k) |
---|
736 | ELSE |
---|
737 | l1d(k) = l_black(k) |
---|
738 | l1d_diss(k) = l_black(k) * & |
---|
739 | SQRT( 1.0_wp - 16.0_wp * rif1d(k) ) |
---|
740 | ENDIF |
---|
741 | ENDDO |
---|
742 | ELSEIF ( mixing_length_1d == 'as_in_3d_model' ) THEN |
---|
743 | DO k = nzb+1, nzt |
---|
744 | dpt_dz = ( pt_init(k+1) - pt_init(k-1) ) * dd2zu(k) |
---|
745 | IF ( dpt_dz > 0.0_wp ) THEN |
---|
746 | l_stable = 0.76_wp * SQRT( e1d(k) ) / & |
---|
747 | SQRT( g / pt_init(k) * dpt_dz ) + 1E-5_wp |
---|
748 | ELSE |
---|
749 | l_stable = l_grid(k) |
---|
750 | ENDIF |
---|
751 | l1d(k) = MIN( l_grid(k), l_stable ) |
---|
752 | l1d_diss(k) = l1d(k) |
---|
753 | ENDDO |
---|
754 | ENDIF |
---|
755 | |
---|
756 | ! |
---|
757 | !-- Compute the diffusion coefficients for momentum via the |
---|
758 | !-- corresponding Prandtl-layer relationship and according to |
---|
759 | !-- Prandtl-Kolmogorov, respectively |
---|
760 | IF ( constant_flux_layer ) THEN |
---|
761 | IF ( rif1d(nzb+1) >= 0.0_wp ) THEN |
---|
762 | km1d(nzb+1) = us1d * kappa * zu(nzb+1) / & |
---|
763 | ( 1.0_wp + 5.0_wp * rif1d(nzb+1) ) |
---|
764 | ELSE |
---|
765 | km1d(nzb+1) = us1d * kappa * zu(nzb+1) * & |
---|
766 | ( 1.0_wp - 16.0_wp * rif1d(nzb+1) )**0.25_wp |
---|
767 | ENDIF |
---|
768 | ENDIF |
---|
769 | DO k = nzb_diff, nzt |
---|
770 | km1d(k) = c_m * SQRT( e1d(k) ) * l1d(k) |
---|
771 | ENDDO |
---|
772 | |
---|
773 | ! |
---|
774 | !-- Add damping layer |
---|
775 | DO k = damp_level_ind_1d+1, nzt+1 |
---|
776 | km1d(k) = 1.1_wp * km1d(k-1) |
---|
777 | km1d(k) = MIN( km1d(k), 10.0_wp ) |
---|
778 | ENDDO |
---|
779 | |
---|
780 | ! |
---|
781 | !-- Compute the diffusion coefficient for heat via the relationship |
---|
782 | !-- kh = phim / phih * km |
---|
783 | DO k = nzb+1, nzt |
---|
784 | IF ( rif1d(k) >= 0.0_wp ) THEN |
---|
785 | kh1d(k) = km1d(k) |
---|
786 | ELSE |
---|
787 | kh1d(k) = km1d(k) * ( 1.0_wp - 16.0_wp * rif1d(k) )**0.25_wp |
---|
788 | ENDIF |
---|
789 | ENDDO |
---|
790 | |
---|
791 | ENDIF ! .NOT. constant_diffusion |
---|
792 | |
---|
793 | ENDDO ! intermediate step loop |
---|
794 | |
---|
795 | ! |
---|
796 | !-- Increment simulated time and output times |
---|
797 | current_timestep_number_1d = current_timestep_number_1d + 1 |
---|
798 | simulated_time_1d = simulated_time_1d + dt_1d |
---|
799 | simulated_time_chr = time_to_string( simulated_time_1d ) |
---|
800 | time_pr_1d = time_pr_1d + dt_1d |
---|
801 | time_run_control_1d = time_run_control_1d + dt_1d |
---|
802 | |
---|
803 | ! |
---|
804 | !-- Determine and print out quantities for run control |
---|
805 | IF ( time_run_control_1d >= dt_run_control_1d ) THEN |
---|
806 | CALL run_control_1d |
---|
807 | time_run_control_1d = time_run_control_1d - dt_run_control_1d |
---|
808 | ENDIF |
---|
809 | |
---|
810 | ! |
---|
811 | !-- Profile output on file |
---|
812 | IF ( time_pr_1d >= dt_pr_1d ) THEN |
---|
813 | CALL print_1d_model |
---|
814 | time_pr_1d = time_pr_1d - dt_pr_1d |
---|
815 | ENDIF |
---|
816 | |
---|
817 | ! |
---|
818 | !-- Determine size of next time step |
---|
819 | CALL timestep_1d |
---|
820 | |
---|
821 | ENDDO ! time loop |
---|
822 | |
---|
823 | |
---|
824 | END SUBROUTINE time_integration_1d |
---|
825 | |
---|
826 | |
---|
827 | !------------------------------------------------------------------------------! |
---|
828 | ! Description: |
---|
829 | ! ------------ |
---|
830 | !> Compute and print out quantities for run control of the 1D model. |
---|
831 | !------------------------------------------------------------------------------! |
---|
832 | |
---|
833 | SUBROUTINE run_control_1d |
---|
834 | |
---|
835 | |
---|
836 | USE constants, & |
---|
837 | ONLY: pi |
---|
838 | |
---|
839 | IMPLICIT NONE |
---|
840 | |
---|
841 | INTEGER(iwp) :: k !< loop index |
---|
842 | |
---|
843 | REAL(wp) :: alpha !< angle of wind vector at top of constant-flux layer |
---|
844 | REAL(wp) :: energy !< kinetic energy |
---|
845 | REAL(wp) :: umax !< maximum of u |
---|
846 | REAL(wp) :: uv_total !< horizontal wind speed |
---|
847 | REAL(wp) :: vmax !< maximum of v |
---|
848 | |
---|
849 | ! |
---|
850 | !-- Output |
---|
851 | IF ( myid == 0 ) THEN |
---|
852 | ! |
---|
853 | !-- If necessary, write header |
---|
854 | IF ( .NOT. run_control_header_1d ) THEN |
---|
855 | CALL check_open( 15 ) |
---|
856 | WRITE ( 15, 100 ) |
---|
857 | run_control_header_1d = .TRUE. |
---|
858 | ENDIF |
---|
859 | |
---|
860 | ! |
---|
861 | !-- Compute control quantities |
---|
862 | !-- grid level nzp is excluded due to mirror boundary condition |
---|
863 | umax = 0.0_wp; vmax = 0.0_wp; energy = 0.0_wp |
---|
864 | DO k = nzb+1, nzt+1 |
---|
865 | umax = MAX( ABS( umax ), ABS( u1d(k) ) ) |
---|
866 | vmax = MAX( ABS( vmax ), ABS( v1d(k) ) ) |
---|
867 | energy = energy + 0.5_wp * ( u1d(k)**2 + v1d(k)**2 ) |
---|
868 | ENDDO |
---|
869 | energy = energy / REAL( nzt - nzb + 1, KIND=wp ) |
---|
870 | |
---|
871 | uv_total = SQRT( u1d(nzb+1)**2 + v1d(nzb+1)**2 ) |
---|
872 | IF ( ABS( v1d(nzb+1) ) < 1.0E-5_wp ) THEN |
---|
873 | alpha = ACOS( SIGN( 1.0_wp , u1d(nzb+1) ) ) |
---|
874 | ELSE |
---|
875 | alpha = ACOS( u1d(nzb+1) / uv_total ) |
---|
876 | IF ( v1d(nzb+1) <= 0.0_wp ) alpha = 2.0_wp * pi - alpha |
---|
877 | ENDIF |
---|
878 | alpha = alpha / ( 2.0_wp * pi ) * 360.0_wp |
---|
879 | |
---|
880 | WRITE ( 15, 101 ) current_timestep_number_1d, simulated_time_chr, & |
---|
881 | dt_1d, umax, vmax, us1d, alpha, energy |
---|
882 | ! |
---|
883 | !-- Write buffer contents to disc immediately |
---|
884 | FLUSH( 15 ) |
---|
885 | |
---|
886 | ENDIF |
---|
887 | |
---|
888 | ! |
---|
889 | !-- formats |
---|
890 | 100 FORMAT (///'1D run control output:'/ & |
---|
891 | &'------------------------------'// & |
---|
892 | &'ITER. HH:MM:SS DT UMAX VMAX U* ALPHA ENERG.'/ & |
---|
893 | &'-------------------------------------------------------------') |
---|
894 | 101 FORMAT (I5,2X,A9,1X,F6.2,2X,F6.2,1X,F6.2,1X,F6.3,2X,F5.1,2X,F7.2) |
---|
895 | |
---|
896 | |
---|
897 | END SUBROUTINE run_control_1d |
---|
898 | |
---|
899 | |
---|
900 | |
---|
901 | !------------------------------------------------------------------------------! |
---|
902 | ! Description: |
---|
903 | ! ------------ |
---|
904 | !> Compute the time step w.r.t. the diffusion criterion |
---|
905 | !------------------------------------------------------------------------------! |
---|
906 | |
---|
907 | SUBROUTINE timestep_1d |
---|
908 | |
---|
909 | IMPLICIT NONE |
---|
910 | |
---|
911 | INTEGER(iwp) :: k !< loop index |
---|
912 | |
---|
913 | REAL(wp) :: dt_diff !< time step accorind to diffusion criterion |
---|
914 | REAL(wp) :: fac !< factor of criterion |
---|
915 | REAL(wp) :: value !< auxiliary variable |
---|
916 | |
---|
917 | ! |
---|
918 | !-- Compute the currently feasible time step according to the diffusion |
---|
919 | !-- criterion. At nzb+1 the half grid length is used. |
---|
920 | fac = 0.35_wp |
---|
921 | dt_diff = dt_max_1d |
---|
922 | DO k = nzb+2, nzt |
---|
923 | value = fac * dzu(k) * dzu(k) / ( km1d(k) + 1E-20_wp ) |
---|
924 | dt_diff = MIN( value, dt_diff ) |
---|
925 | ENDDO |
---|
926 | value = fac * zu(nzb+1) * zu(nzb+1) / ( km1d(nzb+1) + 1E-20_wp ) |
---|
927 | dt_1d = MIN( value, dt_diff ) |
---|
928 | |
---|
929 | ! |
---|
930 | !-- Set flag when the time step becomes too small |
---|
931 | IF ( dt_1d < ( 0.00001_wp * dt_max_1d ) ) THEN |
---|
932 | stop_dt_1d = .TRUE. |
---|
933 | |
---|
934 | WRITE( message_string, * ) 'timestep has exceeded the lower limit &', & |
---|
935 | 'dt_1d = ',dt_1d,' s simulation stopped!' |
---|
936 | CALL message( 'timestep_1d', 'PA0192', 1, 2, 0, 6, 0 ) |
---|
937 | |
---|
938 | ENDIF |
---|
939 | |
---|
940 | END SUBROUTINE timestep_1d |
---|
941 | |
---|
942 | |
---|
943 | |
---|
944 | !------------------------------------------------------------------------------! |
---|
945 | ! Description: |
---|
946 | ! ------------ |
---|
947 | !> List output of profiles from the 1D-model |
---|
948 | !------------------------------------------------------------------------------! |
---|
949 | |
---|
950 | SUBROUTINE print_1d_model |
---|
951 | |
---|
952 | IMPLICIT NONE |
---|
953 | |
---|
954 | INTEGER(iwp) :: k !< loop parameter |
---|
955 | |
---|
956 | LOGICAL, SAVE :: write_first = .TRUE. !< flag for writing header |
---|
957 | |
---|
958 | |
---|
959 | IF ( myid == 0 ) THEN |
---|
960 | ! |
---|
961 | !-- Open list output file for profiles from the 1D-model |
---|
962 | CALL check_open( 17 ) |
---|
963 | |
---|
964 | ! |
---|
965 | !-- Write Header |
---|
966 | IF ( write_first ) THEN |
---|
967 | WRITE ( 17, 100 ) TRIM( run_description_header ) |
---|
968 | write_first = .FALSE. |
---|
969 | ENDIF |
---|
970 | |
---|
971 | ! |
---|
972 | !-- Write the values |
---|
973 | WRITE ( 17, 104 ) TRIM( simulated_time_chr ) |
---|
974 | WRITE ( 17, 101 ) |
---|
975 | WRITE ( 17, 102 ) |
---|
976 | WRITE ( 17, 101 ) |
---|
977 | DO k = nzt+1, nzb, -1 |
---|
978 | WRITE ( 17, 103) k, zu(k), u1d(k), v1d(k), pt_init(k), e1d(k), & |
---|
979 | rif1d(k), km1d(k), kh1d(k), l1d(k), zu(k), k |
---|
980 | ENDDO |
---|
981 | WRITE ( 17, 101 ) |
---|
982 | WRITE ( 17, 102 ) |
---|
983 | WRITE ( 17, 101 ) |
---|
984 | |
---|
985 | ! |
---|
986 | !-- Write buffer contents to disc immediately |
---|
987 | FLUSH( 17 ) |
---|
988 | |
---|
989 | ENDIF |
---|
990 | |
---|
991 | ! |
---|
992 | !-- Formats |
---|
993 | 100 FORMAT ('# ',A/'#',10('-')/'# 1d-model profiles') |
---|
994 | 104 FORMAT (//'# Time: ',A) |
---|
995 | 101 FORMAT ('#',79('-')) |
---|
996 | 102 FORMAT ('# k zu u v pt e rif Km Kh ', & |
---|
997 | 'l zu k') |
---|
998 | 103 FORMAT (1X,I4,1X,F7.1,1X,F6.2,1X,F6.2,1X,F6.2,1X,F6.2,1X,F5.2,1X,F5.2, & |
---|
999 | 1X,F5.2,1X,F6.2,1X,F7.1,2X,I4) |
---|
1000 | |
---|
1001 | |
---|
1002 | END SUBROUTINE print_1d_model |
---|
1003 | |
---|
1004 | |
---|
1005 | END MODULE |
---|