1 | !> @file init_advec.f90 |
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2 | !------------------------------------------------------------------------------! |
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3 | ! This file is part of the PALM model system. |
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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: init_advec.f90 2696 2017-12-14 17:12:51Z kanani $ |
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27 | ! |
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28 | ! 2000 2016-08-20 18:09:15Z knoop |
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29 | ! Forced header and separation lines into 80 columns |
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30 | ! |
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31 | ! 1682 2015-10-07 23:56:08Z knoop |
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32 | ! Code annotations made doxygen readable |
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33 | ! |
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34 | ! 1353 2014-04-08 15:21:23Z heinze |
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35 | ! REAL constants provided with KIND-attribute |
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36 | ! |
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37 | ! 1346 2014-03-27 13:18:20Z heinze |
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38 | ! Bugfix: REAL constants provided with KIND-attribute especially in call of |
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39 | ! intrinsic function like MAX, MIN, SIGN |
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40 | ! |
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41 | ! 1322 2014-03-20 16:38:49Z raasch |
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42 | ! REAL constants defined as wp-kind |
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43 | ! |
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44 | ! 1320 2014-03-20 08:40:49Z raasch |
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45 | ! ONLY-attribute added to USE-statements, |
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46 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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47 | ! kinds are defined in new module kinds, |
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48 | ! revision history before 2012 removed, |
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49 | ! comment fields (!:) to be used for variable explanations added to |
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50 | ! all variable declaration statements |
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51 | ! |
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52 | ! 1036 2012-10-22 13:43:42Z raasch |
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53 | ! code put under GPL (PALM 3.9) |
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54 | ! |
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55 | ! 1003 2012-09-14 14:35:53Z raasch |
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56 | ! obsolete variables removed |
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57 | ! |
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58 | ! 1001 2012-09-13 14:08:46Z raasch |
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59 | ! all actions concerning upstream-spline-method removed |
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60 | ! |
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61 | ! Revision 1.1 1999/02/05 09:07:38 raasch |
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62 | ! Initial revision |
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63 | ! |
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64 | ! |
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65 | ! Description: |
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66 | ! ------------ |
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67 | !> Initialize constant coefficients and parameters for certain advection schemes. |
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68 | !------------------------------------------------------------------------------! |
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69 | SUBROUTINE init_advec |
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70 | |
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71 | |
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72 | USE advection, & |
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73 | ONLY: aex, bex, dex, eex |
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74 | |
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75 | USE kinds |
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76 | |
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77 | USE control_parameters, & |
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78 | ONLY: scalar_advec |
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79 | |
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80 | IMPLICIT NONE |
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81 | |
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82 | INTEGER(iwp) :: i !< |
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83 | INTEGER(iwp) :: intervals !< |
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84 | INTEGER(iwp) :: j !< |
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85 | |
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86 | REAL(wp) :: delt !< |
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87 | REAL(wp) :: dn !< |
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88 | REAL(wp) :: dnneu !< |
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89 | REAL(wp) :: ex1 !< |
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90 | REAL(wp) :: ex2 !< |
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91 | REAL(wp) :: ex3 !< |
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92 | REAL(wp) :: ex4 !< |
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93 | REAL(wp) :: ex5 !< |
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94 | REAL(wp) :: ex6 !< |
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95 | REAL(wp) :: sterm !< |
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96 | |
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97 | |
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98 | IF ( scalar_advec == 'bc-scheme' ) THEN |
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99 | |
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100 | ! |
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101 | !-- Compute exponential coefficients for the Bott-Chlond scheme |
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102 | intervals = 1000 |
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103 | ALLOCATE( aex(intervals), bex(intervals), dex(intervals), eex(intervals) ) |
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104 | |
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105 | delt = 1.0_wp / REAL( intervals, KIND=wp ) |
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106 | sterm = delt * 0.5_wp |
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107 | |
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108 | DO i = 1, intervals |
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109 | |
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110 | IF ( sterm > 0.5_wp ) THEN |
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111 | dn = -5.0_wp |
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112 | ELSE |
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113 | dn = 5.0_wp |
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114 | ENDIF |
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115 | |
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116 | DO j = 1, 15 |
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117 | ex1 = dn * EXP( -dn ) - EXP( 0.5_wp * dn ) + EXP( -0.5_wp * dn ) |
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118 | ex2 = EXP( dn ) - EXP( -dn ) |
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119 | ex3 = EXP( -dn ) * ( 1.0_wp - dn ) - 0.5_wp * EXP( 0.5_wp * dn ) & |
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120 | - 0.5_wp * EXP( -0.5_wp * dn ) |
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121 | ex4 = EXP( dn ) + EXP( -dn ) |
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122 | ex5 = dn * sterm + ex1 / ex2 |
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123 | ex6 = sterm + ( ex3 * ex2 - ex4 * ex1 ) / ( ex2 * ex2 ) |
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124 | dnneu = dn - ex5 / ex6 |
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125 | dn = dnneu |
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126 | ENDDO |
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127 | |
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128 | IF ( sterm < 0.5_wp ) dn = MAX( 2.95E-2_wp, dn ) |
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129 | IF ( sterm > 0.5_wp ) dn = MIN( -2.95E-2_wp, dn ) |
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130 | ex1 = EXP( -dn ) |
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131 | ex2 = EXP( dn ) - ex1 |
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132 | aex(i) = -ex1 / ex2 |
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133 | bex(i) = 1.0_wp / ex2 |
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134 | dex(i) = dn |
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135 | eex(i) = EXP( dex(i) * 0.5_wp ) |
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136 | sterm = sterm + delt |
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137 | |
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138 | ENDDO |
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139 | |
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140 | ENDIF |
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141 | |
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142 | END SUBROUTINE init_advec |
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