1 | !********************************************************************** |
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2 | ! Copyright 1998,1999,2000,2001,2002,2005,2007,2008,2009,2010 * |
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3 | ! Andreas Stohl, Petra Seibert, A. Frank, Gerhard Wotawa, * |
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4 | ! Caroline Forster, Sabine Eckhardt, John Burkhart, Harald Sodemann * |
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5 | ! * |
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6 | ! This file is part of FLEXPART. * |
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7 | ! * |
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8 | ! FLEXPART is free software: you can redistribute it and/or modify * |
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9 | ! it under the terms of the GNU General Public License as published by* |
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10 | ! the Free Software Foundation, either version 3 of the License, or * |
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11 | ! (at your option) any later version. * |
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12 | ! * |
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13 | ! FLEXPART is distributed in the hope that it will be useful, * |
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14 | ! but WITHOUT ANY WARRANTY; without even the implied warranty of * |
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15 | ! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * |
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16 | ! GNU General Public License for more details. * |
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17 | ! * |
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18 | ! You should have received a copy of the GNU General Public License * |
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19 | ! along with FLEXPART. If not, see <http://www.gnu.org/licenses/>. * |
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20 | !********************************************************************** |
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21 | |
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22 | subroutine interpol_wind_short_nests(itime,xt,yt,zt) |
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23 | ! i i i i |
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24 | !***************************************************************************** |
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25 | ! * |
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26 | ! This subroutine interpolates the wind data to current trajectory position.* |
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27 | ! * |
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28 | ! Author: A. Stohl * |
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29 | ! * |
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30 | ! 16 December 1997 * |
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31 | ! * |
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32 | ! Revision March 2005 by AST : all output variables in common block * |
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33 | ! * |
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34 | !***************************************************************************** |
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35 | ! * |
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36 | ! Variables: * |
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37 | ! u,v,w wind components * |
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38 | ! itime [s] current temporal position * |
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39 | ! memtime(3) [s] times of the wind fields in memory * |
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40 | ! xt,yt,zt coordinates position for which wind data shall be * |
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41 | ! calculated * |
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42 | ! * |
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43 | ! Constants: * |
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44 | ! * |
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45 | !***************************************************************************** |
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46 | |
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47 | use par_mod |
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48 | use com_mod |
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49 | use interpol_mod |
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50 | |
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51 | implicit none |
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52 | |
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53 | integer :: itime |
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54 | real :: xt,yt,zt |
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55 | |
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56 | ! Auxiliary variables needed for interpolation |
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57 | real :: dz1,dz2,dz |
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58 | real :: u1(2),v1(2),w1(2),uh(2),vh(2),wh(2) |
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59 | integer :: i,m,n,indexh,indzh |
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60 | |
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61 | |
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62 | !******************************************** |
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63 | ! Multilinear interpolation in time and space |
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64 | !******************************************** |
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65 | |
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66 | ddx=xt-real(ix) |
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67 | ddy=yt-real(jy) |
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68 | rddx=1.-ddx |
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69 | rddy=1.-ddy |
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70 | p1=rddx*rddy |
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71 | p2=ddx*rddy |
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72 | p3=rddx*ddy |
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73 | p4=ddx*ddy |
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74 | |
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75 | ! Calculate variables for time interpolation |
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76 | !******************************************* |
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77 | |
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78 | dt1=real(itime-memtime(1)) |
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79 | dt2=real(memtime(2)-itime) |
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80 | dtt=1./(dt1+dt2) |
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81 | |
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82 | ! Determine the level below the current position for u,v |
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83 | !******************************************************* |
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84 | |
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85 | do i=2,nz |
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86 | if (height(i).gt.zt) then |
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87 | indz=i-1 |
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88 | goto 6 |
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89 | endif |
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90 | end do |
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91 | 6 continue |
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92 | |
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93 | |
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94 | ! Vertical distance to the level below and above current position |
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95 | !**************************************************************** |
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96 | |
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97 | dz=1./(height(indz+1)-height(indz)) |
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98 | dz1=(zt-height(indz))*dz |
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99 | dz2=(height(indz+1)-zt)*dz |
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100 | |
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101 | |
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102 | !********************************************************************** |
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103 | ! 1.) Bilinear horizontal interpolation |
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104 | ! This has to be done separately for 6 fields (Temporal(2)*Vertical(3)) |
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105 | !********************************************************************** |
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106 | |
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107 | ! Loop over 2 time steps and 2 levels |
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108 | !************************************ |
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109 | |
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110 | do m=1,2 |
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111 | indexh=memind(m) |
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112 | do n=1,2 |
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113 | indzh=indz+n-1 |
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114 | |
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115 | u1(n)=p1*uun(ix ,jy ,indzh,indexh,ngrid) & |
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116 | +p2*uun(ixp,jy ,indzh,indexh,ngrid) & |
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117 | +p3*uun(ix ,jyp,indzh,indexh,ngrid) & |
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118 | +p4*uun(ixp,jyp,indzh,indexh,ngrid) |
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119 | v1(n)=p1*vvn(ix ,jy ,indzh,indexh,ngrid) & |
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120 | +p2*vvn(ixp,jy ,indzh,indexh,ngrid) & |
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121 | +p3*vvn(ix ,jyp,indzh,indexh,ngrid) & |
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122 | +p4*vvn(ixp,jyp,indzh,indexh,ngrid) |
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123 | w1(n)=p1*wwn(ix ,jy ,indzh,indexh,ngrid) & |
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124 | +p2*wwn(ixp,jy ,indzh,indexh,ngrid) & |
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125 | +p3*wwn(ix ,jyp,indzh,indexh,ngrid) & |
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126 | +p4*wwn(ixp,jyp,indzh,indexh,ngrid) |
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127 | |
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128 | end do |
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129 | |
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130 | |
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131 | !********************************** |
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132 | ! 2.) Linear vertical interpolation |
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133 | !********************************** |
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134 | |
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135 | uh(m)=dz2*u1(1)+dz1*u1(2) |
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136 | vh(m)=dz2*v1(1)+dz1*v1(2) |
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137 | wh(m)=dz2*w1(1)+dz1*w1(2) |
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138 | end do |
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139 | |
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140 | |
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141 | !************************************ |
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142 | ! 3.) Temporal interpolation (linear) |
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143 | !************************************ |
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144 | |
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145 | u=(uh(1)*dt2+uh(2)*dt1)*dtt |
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146 | v=(vh(1)*dt2+vh(2)*dt1)*dtt |
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147 | w=(wh(1)*dt2+wh(2)*dt1)*dtt |
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148 | |
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149 | end subroutine interpol_wind_short_nests |
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