1 | ! SPDX-FileCopyrightText: FLEXPART 1998-2019, see flexpart_license.txt |
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2 | ! SPDX-License-Identifier: GPL-3.0-or-later |
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3 | |
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4 | subroutine interpol_misslev(n) |
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5 | ! i |
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6 | !***************************************************************************** |
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7 | ! * |
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8 | ! This subroutine interpolates u,v,w, density and density gradients. * |
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9 | ! * |
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10 | ! Author: A. Stohl * |
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11 | ! * |
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12 | ! 16 December 1997 * |
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13 | ! Update: 2 March 1999 * |
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14 | ! * |
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15 | ! Revision March 2005 by AST : all output variables in common block cal- * |
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16 | ! culation of standard deviation done in this * |
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17 | ! routine rather than subroutine call in order * |
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18 | ! to save computation time * |
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19 | ! * |
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20 | !***************************************************************************** |
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21 | ! * |
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22 | ! Variables: * |
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23 | ! n level * |
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24 | ! * |
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25 | ! Constants: * |
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26 | ! * |
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27 | !***************************************************************************** |
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28 | |
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29 | use par_mod |
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30 | use com_mod |
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31 | use interpol_mod |
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32 | use hanna_mod |
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33 | |
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34 | implicit none |
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35 | |
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36 | ! Auxiliary variables needed for interpolation |
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37 | real :: y1(2),y2(2),y3(2),rho1(2),rhograd1(2) |
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38 | real :: usl,vsl,wsl,usq,vsq,wsq,xaux |
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39 | integer :: m,n,indexh |
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40 | real,parameter :: eps=1.0e-30 |
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41 | |
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42 | |
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43 | !******************************************** |
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44 | ! Multilinear interpolation in time and space |
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45 | !******************************************** |
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46 | |
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47 | |
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48 | !************************************** |
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49 | ! 1.) Bilinear horizontal interpolation |
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50 | ! 2.) Temporal interpolation (linear) |
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51 | !************************************** |
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52 | |
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53 | ! Loop over 2 time steps |
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54 | !*********************** |
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55 | |
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56 | usl=0. |
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57 | vsl=0. |
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58 | wsl=0. |
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59 | usq=0. |
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60 | vsq=0. |
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61 | wsq=0. |
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62 | do m=1,2 |
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63 | indexh=memind(m) |
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64 | if (ngrid.lt.0) then |
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65 | y1(m)=p1*uupol(ix ,jy ,n,indexh) & |
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66 | +p2*uupol(ixp,jy ,n,indexh) & |
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67 | +p3*uupol(ix ,jyp,n,indexh) & |
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68 | +p4*uupol(ixp,jyp,n,indexh) |
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69 | y2(m)=p1*vvpol(ix ,jy ,n,indexh) & |
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70 | +p2*vvpol(ixp,jy ,n,indexh) & |
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71 | +p3*vvpol(ix ,jyp,n,indexh) & |
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72 | +p4*vvpol(ixp,jyp,n,indexh) |
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73 | usl=usl+uupol(ix ,jy ,n,indexh)+uupol(ixp,jy ,n,indexh) & |
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74 | +uupol(ix ,jyp,n,indexh)+uupol(ixp,jyp,n,indexh) |
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75 | vsl=vsl+vvpol(ix ,jy ,n,indexh)+vvpol(ixp,jy ,n,indexh) & |
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76 | +vvpol(ix ,jyp,n,indexh)+vvpol(ixp,jyp,n,indexh) |
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77 | |
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78 | usq=usq+uupol(ix ,jy ,n,indexh)*uupol(ix ,jy ,n,indexh)+ & |
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79 | uupol(ixp,jy ,n,indexh)*uupol(ixp,jy ,n,indexh)+ & |
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80 | uupol(ix ,jyp,n,indexh)*uupol(ix ,jyp,n,indexh)+ & |
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81 | uupol(ixp,jyp,n,indexh)*uupol(ixp,jyp,n,indexh) |
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82 | vsq=vsq+vvpol(ix ,jy ,n,indexh)*vvpol(ix ,jy ,n,indexh)+ & |
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83 | vvpol(ixp,jy ,n,indexh)*vvpol(ixp,jy ,n,indexh)+ & |
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84 | vvpol(ix ,jyp,n,indexh)*vvpol(ix ,jyp,n,indexh)+ & |
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85 | vvpol(ixp,jyp,n,indexh)*vvpol(ixp,jyp,n,indexh) |
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86 | else |
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87 | y1(m)=p1*uu(ix ,jy ,n,indexh) & |
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88 | +p2*uu(ixp,jy ,n,indexh) & |
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89 | +p3*uu(ix ,jyp,n,indexh) & |
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90 | +p4*uu(ixp,jyp,n,indexh) |
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91 | y2(m)=p1*vv(ix ,jy ,n,indexh) & |
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92 | +p2*vv(ixp,jy ,n,indexh) & |
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93 | +p3*vv(ix ,jyp,n,indexh) & |
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94 | +p4*vv(ixp,jyp,n,indexh) |
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95 | usl=usl+uu(ix ,jy ,n,indexh)+uu(ixp,jy ,n,indexh) & |
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96 | +uu(ix ,jyp,n,indexh)+uu(ixp,jyp,n,indexh) |
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97 | vsl=vsl+vv(ix ,jy ,n,indexh)+vv(ixp,jy ,n,indexh) & |
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98 | +vv(ix ,jyp,n,indexh)+vv(ixp,jyp,n,indexh) |
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99 | |
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100 | usq=usq+uu(ix ,jy ,n,indexh)*uu(ix ,jy ,n,indexh)+ & |
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101 | uu(ixp,jy ,n,indexh)*uu(ixp,jy ,n,indexh)+ & |
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102 | uu(ix ,jyp,n,indexh)*uu(ix ,jyp,n,indexh)+ & |
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103 | uu(ixp,jyp,n,indexh)*uu(ixp,jyp,n,indexh) |
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104 | vsq=vsq+vv(ix ,jy ,n,indexh)*vv(ix ,jy ,n,indexh)+ & |
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105 | vv(ixp,jy ,n,indexh)*vv(ixp,jy ,n,indexh)+ & |
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106 | vv(ix ,jyp,n,indexh)*vv(ix ,jyp,n,indexh)+ & |
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107 | vv(ixp,jyp,n,indexh)*vv(ixp,jyp,n,indexh) |
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108 | endif |
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109 | y3(m)=p1*ww(ix ,jy ,n,indexh) & |
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110 | +p2*ww(ixp,jy ,n,indexh) & |
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111 | +p3*ww(ix ,jyp,n,indexh) & |
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112 | +p4*ww(ixp,jyp,n,indexh) |
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113 | rhograd1(m)=p1*drhodz(ix ,jy ,n,indexh) & |
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114 | +p2*drhodz(ixp,jy ,n,indexh) & |
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115 | +p3*drhodz(ix ,jyp,n,indexh) & |
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116 | +p4*drhodz(ixp,jyp,n,indexh) |
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117 | rho1(m)=p1*rho(ix ,jy ,n,indexh) & |
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118 | +p2*rho(ixp,jy ,n,indexh) & |
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119 | +p3*rho(ix ,jyp,n,indexh) & |
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120 | +p4*rho(ixp,jyp,n,indexh) |
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121 | wsl=wsl+ww(ix ,jy ,n,indexh)+ww(ixp,jy ,n,indexh) & |
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122 | +ww(ix ,jyp,n,indexh)+ww(ixp,jyp,n,indexh) |
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123 | wsq=wsq+ww(ix ,jy ,n,indexh)*ww(ix ,jy ,n,indexh)+ & |
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124 | ww(ixp,jy ,n,indexh)*ww(ixp,jy ,n,indexh)+ & |
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125 | ww(ix ,jyp,n,indexh)*ww(ix ,jyp,n,indexh)+ & |
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126 | ww(ixp,jyp,n,indexh)*ww(ixp,jyp,n,indexh) |
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127 | end do |
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128 | uprof(n)=(y1(1)*dt2+y1(2)*dt1)*dtt |
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129 | vprof(n)=(y2(1)*dt2+y2(2)*dt1)*dtt |
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130 | wprof(n)=(y3(1)*dt2+y3(2)*dt1)*dtt |
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131 | rhoprof(n)=(rho1(1)*dt2+rho1(2)*dt1)*dtt |
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132 | rhogradprof(n)=(rhograd1(1)*dt2+rhograd1(2)*dt1)*dtt |
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133 | indzindicator(n)=.false. |
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134 | |
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135 | |
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136 | ! Compute standard deviations |
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137 | !**************************** |
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138 | |
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139 | xaux=usq-usl*usl/8. |
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140 | if (xaux.lt.eps) then |
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141 | usigprof(n)=0. |
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142 | else |
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143 | usigprof(n)=sqrt(xaux/7.) |
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144 | endif |
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145 | |
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146 | xaux=vsq-vsl*vsl/8. |
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147 | if (xaux.lt.eps) then |
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148 | vsigprof(n)=0. |
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149 | else |
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150 | vsigprof(n)=sqrt(xaux/7.) |
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151 | endif |
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152 | |
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153 | |
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154 | xaux=wsq-wsl*wsl/8. |
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155 | if (xaux.lt.eps) then |
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156 | wsigprof(n)=0. |
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157 | else |
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158 | wsigprof(n)=sqrt(xaux/7.) |
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159 | endif |
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160 | |
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161 | |
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162 | end subroutine interpol_misslev |
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