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_misslev_nests(n) |
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23 | ! i |
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24 | !***************************************************************************** |
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25 | ! * |
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26 | ! This subroutine interpolates u,v,w, density and density gradients. * |
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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 | !***************************************************************************** |
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33 | ! * |
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34 | ! Variables: * |
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35 | ! n level * |
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36 | ! * |
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37 | ! Constants: * |
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38 | ! * |
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39 | !***************************************************************************** |
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40 | |
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41 | use par_mod |
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42 | use com_mod |
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43 | use interpol_mod |
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44 | use hanna_mod |
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45 | |
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46 | implicit none |
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47 | |
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48 | ! Auxiliary variables needed for interpolation |
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49 | real :: y1(2),y2(2),y3(2),rho1(2),rhograd1(2) |
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50 | real :: usl,vsl,wsl,usq,vsq,wsq,xaux |
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51 | integer :: m,n,indexh |
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52 | real,parameter :: eps=1.0e-30 |
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53 | |
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54 | |
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55 | !******************************************** |
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56 | ! Multilinear interpolation in time and space |
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57 | !******************************************** |
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58 | |
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59 | |
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60 | !************************************** |
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61 | ! 1.) Bilinear horizontal interpolation |
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62 | ! 2.) Temporal interpolation (linear) |
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63 | !************************************** |
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64 | |
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65 | ! Loop over 2 time steps |
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66 | !*********************** |
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67 | |
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68 | usl=0. |
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69 | vsl=0. |
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70 | wsl=0. |
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71 | usq=0. |
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72 | vsq=0. |
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73 | wsq=0. |
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74 | do m=1,2 |
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75 | indexh=memind(m) |
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76 | y1(m)=p1*uun(ix ,jy ,n,indexh,ngrid) & |
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77 | +p2*uun(ixp,jy ,n,indexh,ngrid) & |
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78 | +p3*uun(ix ,jyp,n,indexh,ngrid) & |
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79 | +p4*uun(ixp,jyp,n,indexh,ngrid) |
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80 | y2(m)=p1*vvn(ix ,jy ,n,indexh,ngrid) & |
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81 | +p2*vvn(ixp,jy ,n,indexh,ngrid) & |
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82 | +p3*vvn(ix ,jyp,n,indexh,ngrid) & |
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83 | +p4*vvn(ixp,jyp,n,indexh,ngrid) |
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84 | y3(m)=p1*wwn(ix ,jy ,n,indexh,ngrid) & |
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85 | +p2*wwn(ixp,jy ,n,indexh,ngrid) & |
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86 | +p3*wwn(ix ,jyp,n,indexh,ngrid) & |
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87 | +p4*wwn(ixp,jyp,n,indexh,ngrid) |
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88 | rho1(m)=p1*rhon(ix ,jy ,n,indexh,ngrid) & |
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89 | +p2*rhon(ixp,jy ,n,indexh,ngrid) & |
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90 | +p3*rhon(ix ,jyp,n,indexh,ngrid) & |
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91 | +p4*rhon(ixp,jyp,n,indexh,ngrid) |
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92 | rhograd1(m)=p1*drhodzn(ix ,jy ,n,indexh,ngrid) & |
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93 | +p2*drhodzn(ixp,jy ,n,indexh,ngrid) & |
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94 | +p3*drhodzn(ix ,jyp,n,indexh,ngrid) & |
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95 | +p4*drhodzn(ixp,jyp,n,indexh,ngrid) |
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96 | |
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97 | usl=usl+uun(ix ,jy ,n,indexh,ngrid)+uun(ixp,jy ,n,indexh,ngrid) & |
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98 | +uun(ix ,jyp,n,indexh,ngrid)+uun(ixp,jyp,n,indexh,ngrid) |
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99 | vsl=vsl+vvn(ix ,jy ,n,indexh,ngrid)+vvn(ixp,jy ,n,indexh,ngrid) & |
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100 | +vvn(ix ,jyp,n,indexh,ngrid)+vvn(ixp,jyp,n,indexh,ngrid) |
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101 | wsl=wsl+wwn(ix ,jy ,n,indexh,ngrid)+wwn(ixp,jy ,n,indexh,ngrid) & |
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102 | +wwn(ix ,jyp,n,indexh,ngrid)+wwn(ixp,jyp,n,indexh,ngrid) |
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103 | |
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104 | usq=usq+uun(ix ,jy ,n,indexh,ngrid)*uun(ix ,jy ,n,indexh,ngrid)+ & |
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105 | uun(ixp,jy ,n,indexh,ngrid)*uun(ixp,jy ,n,indexh,ngrid)+ & |
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106 | uun(ix ,jyp,n,indexh,ngrid)*uun(ix ,jyp,n,indexh,ngrid)+ & |
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107 | uun(ixp,jyp,n,indexh,ngrid)*uun(ixp,jyp,n,indexh,ngrid) |
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108 | vsq=vsq+vvn(ix ,jy ,n,indexh,ngrid)*vvn(ix ,jy ,n,indexh,ngrid)+ & |
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109 | vvn(ixp,jy ,n,indexh,ngrid)*vvn(ixp,jy ,n,indexh,ngrid)+ & |
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110 | vvn(ix ,jyp,n,indexh,ngrid)*vvn(ix ,jyp,n,indexh,ngrid)+ & |
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111 | vvn(ixp,jyp,n,indexh,ngrid)*vvn(ixp,jyp,n,indexh,ngrid) |
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112 | wsq=wsq+wwn(ix ,jy ,n,indexh,ngrid)*wwn(ix ,jy ,n,indexh,ngrid)+ & |
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113 | wwn(ixp,jy ,n,indexh,ngrid)*wwn(ixp,jy ,n,indexh,ngrid)+ & |
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114 | wwn(ix ,jyp,n,indexh,ngrid)*wwn(ix ,jyp,n,indexh,ngrid)+ & |
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115 | wwn(ixp,jyp,n,indexh,ngrid)*wwn(ixp,jyp,n,indexh,ngrid) |
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116 | end do |
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117 | uprof(n)=(y1(1)*dt2+y1(2)*dt1)*dtt |
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118 | vprof(n)=(y2(1)*dt2+y2(2)*dt1)*dtt |
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119 | wprof(n)=(y3(1)*dt2+y3(2)*dt1)*dtt |
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120 | rhoprof(n)=(rho1(1)*dt2+rho1(2)*dt1)*dtt |
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121 | rhogradprof(n)=(rhograd1(1)*dt2+rhograd1(2)*dt1)*dtt |
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122 | indzindicator(n)=.false. |
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123 | |
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124 | ! Compute standard deviations |
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125 | !**************************** |
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126 | |
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127 | xaux=usq-usl*usl/8. |
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128 | if (xaux.lt.eps) then |
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129 | usigprof(n)=0. |
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130 | else |
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131 | usigprof(n)=sqrt(xaux/7.) |
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132 | endif |
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133 | |
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134 | xaux=vsq-vsl*vsl/8. |
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135 | if (xaux.lt.eps) then |
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136 | vsigprof(n)=0. |
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137 | else |
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138 | vsigprof(n)=sqrt(xaux/7.) |
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139 | endif |
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140 | |
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141 | |
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142 | xaux=wsq-wsl*wsl/8. |
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143 | if (xaux.lt.eps) then |
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144 | wsigprof(n)=0. |
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145 | else |
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146 | wsigprof(n)=sqrt(xaux/7.) |
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147 | endif |
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148 | |
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149 | end subroutine interpol_misslev_nests |
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