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_all_nests(itime,xt,yt,zt) |
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5 | ! i i i i |
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6 | !***************************************************************************** |
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7 | ! * |
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8 | ! This subroutine interpolates everything that is needed for calculating the* |
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9 | ! dispersion. * |
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10 | ! Version for interpolating nested grids. * |
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11 | ! * |
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12 | ! Author: A. Stohl * |
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13 | ! * |
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14 | ! 9 February 1999 * |
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15 | ! 16 December 1997 * |
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16 | ! * |
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17 | ! Revision March 2005 by AST : all output variables in common block cal- * |
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18 | ! culation of standard deviation done in this * |
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19 | ! routine rather than subroutine call in order * |
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20 | ! to save computation time * |
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21 | ! * |
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22 | !***************************************************************************** |
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23 | ! * |
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24 | ! Variables: * |
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25 | ! itime [s] current temporal position * |
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26 | ! memtime(3) [s] times of the wind fields in memory * |
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27 | ! xt,yt,zt coordinates position for which wind data shall be * |
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28 | ! calculated * |
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29 | ! * |
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30 | ! Constants: * |
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31 | ! * |
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32 | !***************************************************************************** |
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33 | |
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34 | use par_mod |
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35 | use com_mod |
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36 | use interpol_mod |
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37 | use hanna_mod |
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38 | |
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39 | implicit none |
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40 | |
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41 | integer :: itime |
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42 | real :: xt,yt,zt |
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43 | |
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44 | ! Auxiliary variables needed for interpolation |
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45 | real :: ust1(2),wst1(2),oli1(2),oliaux |
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46 | real :: y1(2),y2(2),y3(2),rho1(2),rhograd1(2) |
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47 | real :: usl,vsl,wsl,usq,vsq,wsq,xaux |
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48 | integer :: i,m,n,indexh |
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49 | real,parameter :: eps=1.0e-30 |
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50 | |
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51 | |
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52 | !******************************************** |
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53 | ! Multilinear interpolation in time and space |
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54 | !******************************************** |
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55 | |
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56 | ! Determine the lower left corner and its distance to the current position |
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57 | !************************************************************************* |
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58 | |
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59 | ddx=xt-real(ix) |
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60 | ddy=yt-real(jy) |
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61 | rddx=1.-ddx |
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62 | rddy=1.-ddy |
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63 | p1=rddx*rddy |
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64 | p2=ddx*rddy |
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65 | p3=rddx*ddy |
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66 | p4=ddx*ddy |
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67 | |
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68 | ! Calculate variables for time interpolation |
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69 | !******************************************* |
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70 | |
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71 | dt1=real(itime-memtime(1)) |
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72 | dt2=real(memtime(2)-itime) |
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73 | dtt=1./(dt1+dt2) |
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74 | |
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75 | |
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76 | !***************************************** |
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77 | ! 1. Interpolate u*, w* and Obukhov length |
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78 | !***************************************** |
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79 | |
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80 | ! a) Bilinear horizontal interpolation |
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81 | |
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82 | do m=1,2 |
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83 | indexh=memind(m) |
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84 | |
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85 | ust1(m)=p1*ustarn(ix ,jy ,1,indexh,ngrid) & |
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86 | + p2*ustarn(ixp,jy ,1,indexh,ngrid) & |
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87 | + p3*ustarn(ix ,jyp,1,indexh,ngrid) & |
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88 | + p4*ustarn(ixp,jyp,1,indexh,ngrid) |
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89 | wst1(m)=p1*wstarn(ix ,jy ,1,indexh,ngrid) & |
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90 | + p2*wstarn(ixp,jy ,1,indexh,ngrid) & |
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91 | + p3*wstarn(ix ,jyp,1,indexh,ngrid) & |
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92 | + p4*wstarn(ixp,jyp,1,indexh,ngrid) |
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93 | oli1(m)=p1*olin(ix ,jy ,1,indexh,ngrid) & |
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94 | + p2*olin(ixp,jy ,1,indexh,ngrid) & |
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95 | + p3*olin(ix ,jyp,1,indexh,ngrid) & |
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96 | + p4*olin(ixp,jyp,1,indexh,ngrid) |
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97 | end do |
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98 | |
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99 | ! b) Temporal interpolation |
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100 | |
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101 | ust=(ust1(1)*dt2+ust1(2)*dt1)*dtt |
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102 | wst=(wst1(1)*dt2+wst1(2)*dt1)*dtt |
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103 | oliaux=(oli1(1)*dt2+oli1(2)*dt1)*dtt |
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104 | |
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105 | if (oliaux.ne.0.) then |
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106 | ol=1./oliaux |
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107 | else |
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108 | ol=99999. |
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109 | endif |
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110 | |
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111 | |
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112 | !***************************************************** |
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113 | ! 2. Interpolate vertical profiles of u,v,w,rho,drhodz |
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114 | !***************************************************** |
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115 | |
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116 | |
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117 | ! Determine the level below the current position |
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118 | !*********************************************** |
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119 | |
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120 | do i=2,nz |
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121 | if (height(i).gt.zt) then |
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122 | indz=i-1 |
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123 | indzp=i |
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124 | goto 6 |
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125 | endif |
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126 | end do |
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127 | 6 continue |
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128 | |
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129 | !************************************** |
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130 | ! 1.) Bilinear horizontal interpolation |
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131 | ! 2.) Temporal interpolation (linear) |
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132 | !************************************** |
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133 | |
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134 | ! Loop over 2 time steps and indz levels |
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135 | !*************************************** |
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136 | |
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137 | do n=indz,indz+1 |
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138 | usl=0. |
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139 | vsl=0. |
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140 | wsl=0. |
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141 | usq=0. |
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142 | vsq=0. |
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143 | wsq=0. |
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144 | do m=1,2 |
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145 | indexh=memind(m) |
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146 | y1(m)=p1*uun(ix ,jy ,n,indexh,ngrid) & |
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147 | +p2*uun(ixp,jy ,n,indexh,ngrid) & |
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148 | +p3*uun(ix ,jyp,n,indexh,ngrid) & |
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149 | +p4*uun(ixp,jyp,n,indexh,ngrid) |
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150 | y2(m)=p1*vvn(ix ,jy ,n,indexh,ngrid) & |
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151 | +p2*vvn(ixp,jy ,n,indexh,ngrid) & |
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152 | +p3*vvn(ix ,jyp,n,indexh,ngrid) & |
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153 | +p4*vvn(ixp,jyp,n,indexh,ngrid) |
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154 | y3(m)=p1*wwn(ix ,jy ,n,indexh,ngrid) & |
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155 | +p2*wwn(ixp,jy ,n,indexh,ngrid) & |
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156 | +p3*wwn(ix ,jyp,n,indexh,ngrid) & |
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157 | +p4*wwn(ixp,jyp,n,indexh,ngrid) |
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158 | rhograd1(m)=p1*drhodzn(ix ,jy ,n,indexh,ngrid) & |
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159 | +p2*drhodzn(ixp,jy ,n,indexh,ngrid) & |
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160 | +p3*drhodzn(ix ,jyp,n,indexh,ngrid) & |
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161 | +p4*drhodzn(ixp,jyp,n,indexh,ngrid) |
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162 | rho1(m)=p1*rhon(ix ,jy ,n,indexh,ngrid) & |
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163 | +p2*rhon(ixp,jy ,n,indexh,ngrid) & |
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164 | +p3*rhon(ix ,jyp,n,indexh,ngrid) & |
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165 | +p4*rhon(ixp,jyp,n,indexh,ngrid) |
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166 | |
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167 | usl=usl+uun(ix ,jy ,n,indexh,ngrid)+uun(ixp,jy ,n,indexh,ngrid) & |
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168 | +uun(ix ,jyp,n,indexh,ngrid)+uun(ixp,jyp,n,indexh,ngrid) |
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169 | vsl=vsl+vvn(ix ,jy ,n,indexh,ngrid)+vvn(ixp,jy ,n,indexh,ngrid) & |
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170 | +vvn(ix ,jyp,n,indexh,ngrid)+vvn(ixp,jyp,n,indexh,ngrid) |
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171 | wsl=wsl+wwn(ix ,jy ,n,indexh,ngrid)+wwn(ixp,jy ,n,indexh,ngrid) & |
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172 | +wwn(ix ,jyp,n,indexh,ngrid)+wwn(ixp,jyp,n,indexh,ngrid) |
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173 | |
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174 | usq=usq+uun(ix ,jy ,n,indexh,ngrid)*uun(ix ,jy ,n,indexh,ngrid)+ & |
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175 | uun(ixp,jy ,n,indexh,ngrid)*uun(ixp,jy ,n,indexh,ngrid)+ & |
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176 | uun(ix ,jyp,n,indexh,ngrid)*uun(ix ,jyp,n,indexh,ngrid)+ & |
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177 | uun(ixp,jyp,n,indexh,ngrid)*uun(ixp,jyp,n,indexh,ngrid) |
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178 | vsq=vsq+vvn(ix ,jy ,n,indexh,ngrid)*vvn(ix ,jy ,n,indexh,ngrid)+ & |
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179 | vvn(ixp,jy ,n,indexh,ngrid)*vvn(ixp,jy ,n,indexh,ngrid)+ & |
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180 | vvn(ix ,jyp,n,indexh,ngrid)*vvn(ix ,jyp,n,indexh,ngrid)+ & |
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181 | vvn(ixp,jyp,n,indexh,ngrid)*vvn(ixp,jyp,n,indexh,ngrid) |
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182 | wsq=wsq+wwn(ix ,jy ,n,indexh,ngrid)*wwn(ix ,jy ,n,indexh,ngrid)+ & |
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183 | wwn(ixp,jy ,n,indexh,ngrid)*wwn(ixp,jy ,n,indexh,ngrid)+ & |
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184 | wwn(ix ,jyp,n,indexh,ngrid)*wwn(ix ,jyp,n,indexh,ngrid)+ & |
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185 | wwn(ixp,jyp,n,indexh,ngrid)*wwn(ixp,jyp,n,indexh,ngrid) |
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186 | end do |
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187 | uprof(n)=(y1(1)*dt2+y1(2)*dt1)*dtt |
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188 | vprof(n)=(y2(1)*dt2+y2(2)*dt1)*dtt |
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189 | wprof(n)=(y3(1)*dt2+y3(2)*dt1)*dtt |
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190 | rhoprof(n)=(rho1(1)*dt2+rho1(2)*dt1)*dtt |
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191 | rhogradprof(n)=(rhograd1(1)*dt2+rhograd1(2)*dt1)*dtt |
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192 | indzindicator(n)=.false. |
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193 | |
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194 | ! Compute standard deviations |
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195 | !**************************** |
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196 | |
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197 | xaux=usq-usl*usl/8. |
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198 | if (xaux.lt.eps) then |
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199 | usigprof(n)=0. |
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200 | else |
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201 | usigprof(n)=sqrt(xaux/7.) |
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202 | endif |
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203 | |
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204 | xaux=vsq-vsl*vsl/8. |
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205 | if (xaux.lt.eps) then |
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206 | vsigprof(n)=0. |
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207 | else |
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208 | vsigprof(n)=sqrt(xaux/7.) |
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209 | endif |
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210 | |
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211 | |
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212 | xaux=wsq-wsl*wsl/8. |
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213 | if (xaux.lt.eps) then |
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214 | wsigprof(n)=0. |
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215 | else |
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216 | wsigprof(n)=sqrt(xaux/7.) |
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217 | endif |
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218 | |
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219 | end do |
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220 | |
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221 | end subroutine interpol_all_nests |
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