1 | !*********************************************************************** |
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2 | !* Copyright 2012,2013 * |
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3 | !* Jerome Brioude, Delia Arnold, Andreas Stohl, Wayne Angevine, * |
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4 | !* John Burkhart, Massimo Cassiani, Adam Dingwell, Richard C Easter, Sabine Eckhardt,* |
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5 | !* Stephanie Evan, Jerome D Fast, Don Morton, Ignacio Pisso, * |
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6 | !* Petra Seibert, Gerard Wotawa, Caroline Forster, Harald Sodemann, * |
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7 | !* * |
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8 | !* This file is part of FLEXPART WRF * |
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9 | !* * |
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10 | !* FLEXPART is free software: you can redistribute it and/or modify * |
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11 | !* it under the terms of the GNU General Public License as published by* |
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12 | !* the Free Software Foundation, either version 3 of the License, or * |
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13 | !* (at your option) any later version. * |
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14 | !* * |
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15 | !* FLEXPART is distributed in the hope that it will be useful, * |
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16 | !* but WITHOUT ANY WARRANTY; without even the implied warranty of * |
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17 | !* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * |
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18 | !* GNU General Public License for more details. * |
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19 | !* * |
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20 | !* You should have received a copy of the GNU General Public License * |
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21 | !* along with FLEXPART. If not, see <http://www.gnu.org/licenses/>. * |
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22 | !*********************************************************************** |
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23 | subroutine interpol_all(itime,xt,yt,zt, & |
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24 | uprof,vprof,wprof, usigprof,vsigprof,wsigprof, & |
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25 | rhoprof,rhogradprof, tkeprof,pttprof, & |
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26 | u,v,w,usig,vsig,wsig,pvi, & |
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27 | p1,p2,p3,p4,ddx,ddy,rddx,rddy,dtt,dt1,dt2, & |
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28 | ix,jy,ixp,jyp,ngrid,indz,indzp, depoindicator, & |
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29 | indzindicator, & |
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30 | ust,wst,ol,h,zeta,sigu,sigv,tlu,tlv,tlw, & |
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31 | sigw,dsigwdz,dsigw2dz,mu,mv) |
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32 | |
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33 | ! i i i i |
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34 | !******************************************************************************* |
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35 | ! * |
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36 | ! This subroutine interpolates everything that is needed for calculating the * |
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37 | ! dispersion. * |
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38 | ! * |
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39 | ! Author: A. Stohl * |
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40 | ! * |
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41 | ! 16 December 1997 * |
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42 | ! * |
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43 | ! Revision March 2005 by AST : all output variables in common block * |
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44 | ! calculation of standard deviation done in this * |
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45 | ! routine rather than subroutine call in order * |
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46 | ! to save computation time * |
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47 | ! * |
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48 | !******************************************************************************* |
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49 | ! * |
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50 | ! Variables: * |
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51 | ! itime [s] current temporal position * |
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52 | ! memtime(3) [s] times of the wind fields in memory * |
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53 | ! xt,yt,zt coordinates position for which wind data shall be calculat* |
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54 | ! * |
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55 | ! Constants: * |
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56 | ! * |
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57 | !******************************************************************************* |
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58 | ! 12 JUNE 2007, compute tkeprof, y4 |
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59 | ! 25 June 2007, compute pttprof, y5 |
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60 | ! compute tkeprof for all levels |
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61 | !******************************************************************************* |
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62 | use par_mod |
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63 | use com_mod |
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64 | ! use interpol_mod |
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65 | ! use hanna_mod |
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66 | implicit none |
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67 | |
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68 | integer :: itime |
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69 | real :: xt,yt,zt |
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70 | |
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71 | ! Auxiliary variables needed for interpolation |
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72 | real :: ust1(2),wst1(2),oli1(2),oliaux |
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73 | real :: y1(2),y2(2),y3(2),rho1(2),rhograd1(2),y4(2),y5(2) |
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74 | real :: usl,vsl,wsl,usq,vsq,wsq,xaux |
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75 | integer :: i,m,n,indexh,n2 |
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76 | real :: tkeprof2 |
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77 | |
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78 | real,parameter ::eps=1.0e-30 |
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79 | |
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80 | real :: uprof(nzmax),vprof(nzmax),wprof(nzmax) |
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81 | real :: usigprof(nzmax),vsigprof(nzmax),wsigprof(nzmax) |
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82 | real :: rhoprof(nzmax),rhogradprof(nzmax) |
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83 | real :: tkeprof(nzmax),pttprof(nzmax) |
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84 | real :: u,v,w,usig,vsig,wsig,pvi |
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85 | |
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86 | real :: p1,p2,p3,p4,ddx,ddy,rddx,rddy,dtt,dt1,dt2 |
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87 | integer :: ix,jy,ixp,jyp,ngrid,indz,indzp |
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88 | logical :: depoindicator(maxspec) |
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89 | logical :: indzindicator(nzmax) |
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90 | real :: ust,wst,ol,h,zeta,sigu,sigv,tlu,tlv,tlw |
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91 | real :: sigw,dsigwdz,dsigw2dz,mu,mv |
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92 | |
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93 | |
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94 | !******************************************** |
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95 | ! Multilinear interpolation in time and space |
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96 | !******************************************** |
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97 | |
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98 | ! Determine the lower left corner and its distance to the current position |
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99 | !************************************************************************* |
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100 | |
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101 | ddx=xt-real(ix) |
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102 | ddy=yt-real(jy) |
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103 | rddx=1.-ddx |
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104 | rddy=1.-ddy |
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105 | p1=rddx*rddy |
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106 | p2=ddx*rddy |
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107 | p3=rddx*ddy |
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108 | p4=ddx*ddy |
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109 | |
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110 | ! Calculate variables for time interpolation |
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111 | !******************************************* |
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112 | |
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113 | dt1=real(itime-memtime(1)) |
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114 | dt2=real(memtime(2)-itime) |
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115 | dtt=1./(dt1+dt2) |
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116 | |
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117 | |
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118 | !***************************************** |
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119 | ! 1. Interpolate u*, w* and Obukhov length |
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120 | !***************************************** |
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121 | |
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122 | ! a) Bilinear horizontal interpolation |
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123 | |
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124 | do m=1,2 |
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125 | indexh=memind(m) |
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126 | |
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127 | ust1(m)=p1*ustar(ix ,jy ,1,indexh) & |
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128 | + p2*ustar(ixp,jy ,1,indexh) & |
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129 | + p3*ustar(ix ,jyp,1,indexh) & |
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130 | + p4*ustar(ixp,jyp,1,indexh) |
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131 | wst1(m)=p1*wstar(ix ,jy ,1,indexh) & |
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132 | + p2*wstar(ixp,jy ,1,indexh) & |
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133 | + p3*wstar(ix ,jyp,1,indexh) & |
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134 | + p4*wstar(ixp,jyp,1,indexh) |
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135 | oli1(m)=p1*oli(ix ,jy ,1,indexh) & |
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136 | + p2*oli(ixp,jy ,1,indexh) & |
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137 | + p3*oli(ix ,jyp,1,indexh) & |
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138 | + p4*oli(ixp,jyp,1,indexh) |
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139 | end do |
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140 | mu =p1*m_x(ix ,jy ,1) & |
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141 | + p2*m_x(ixp,jy ,1) & |
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142 | + p3*m_x(ix ,jyp,1) & |
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143 | + p4*m_x(ixp,jyp,1) |
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144 | mv =p1*m_y(ix ,jy ,1) & |
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145 | + p2*m_y(ixp,jy ,1) & |
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146 | + p3*m_y(ix ,jyp,1) & |
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147 | + p4*m_y(ixp,jyp,1) |
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148 | |
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149 | ! b) Temporal interpolation |
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150 | |
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151 | ust=(ust1(1)*dt2+ust1(2)*dt1)*dtt |
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152 | wst=(wst1(1)*dt2+wst1(2)*dt1)*dtt |
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153 | oliaux=(oli1(1)*dt2+oli1(2)*dt1)*dtt |
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154 | |
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155 | if (oliaux.ne.0.) then |
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156 | ol=1./oliaux |
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157 | else |
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158 | ol=99999. |
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159 | endif |
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160 | |
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161 | |
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162 | !***************************************************** |
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163 | ! 2. Interpolate vertical profiles of u,v,w,rho,drhodz |
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164 | !***************************************************** |
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165 | |
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166 | |
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167 | ! Determine the level below the current position |
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168 | !*********************************************** |
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169 | |
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170 | do i=2,nz |
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171 | if (height(i).gt.zt) then |
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172 | indz=i-1 |
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173 | indzp=i |
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174 | goto 6 |
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175 | endif |
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176 | end do |
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177 | 6 continue |
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178 | |
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179 | !************************************** |
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180 | ! 1.) Bilinear horizontal interpolation |
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181 | ! 2.) Temporal interpolation (linear) |
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182 | !************************************** |
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183 | |
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184 | ! Loop over 2 time steps and indz levels |
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185 | !*************************************** |
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186 | |
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187 | do n=indz,indzp |
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188 | usl=0. |
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189 | vsl=0. |
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190 | wsl=0. |
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191 | usq=0. |
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192 | vsq=0. |
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193 | wsq=0. |
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194 | do m=1,2 |
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195 | indexh=memind(m) |
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196 | if (ngrid.lt.0) then |
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197 | y1(m)=p1*uupol(ix ,jy ,n,indexh) & |
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198 | +p2*uupol(ixp,jy ,n,indexh) & |
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199 | +p3*uupol(ix ,jyp,n,indexh) & |
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200 | +p4*uupol(ixp,jyp,n,indexh) |
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201 | y2(m)=p1*vvpol(ix ,jy ,n,indexh) & |
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202 | +p2*vvpol(ixp,jy ,n,indexh) & |
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203 | +p3*vvpol(ix ,jyp,n,indexh) & |
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204 | +p4*vvpol(ixp,jyp,n,indexh) |
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205 | usl=usl+uupol(ix ,jy ,n,indexh)+uupol(ixp,jy ,n,indexh) & |
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206 | +uupol(ix ,jyp,n,indexh)+uupol(ixp,jyp,n,indexh) |
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207 | vsl=vsl+vvpol(ix ,jy ,n,indexh)+vvpol(ixp,jy ,n,indexh) & |
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208 | +vvpol(ix ,jyp,n,indexh)+vvpol(ixp,jyp,n,indexh) |
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209 | |
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210 | usq=usq+uupol(ix ,jy ,n,indexh)*uupol(ix ,jy ,n,indexh)+ & |
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211 | uupol(ixp,jy ,n,indexh)*uupol(ixp,jy ,n,indexh)+ & |
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212 | uupol(ix ,jyp,n,indexh)*uupol(ix ,jyp,n,indexh)+ & |
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213 | uupol(ixp,jyp,n,indexh)*uupol(ixp,jyp,n,indexh) |
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214 | vsq=vsq+vvpol(ix ,jy ,n,indexh)*vvpol(ix ,jy ,n,indexh)+ & |
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215 | vvpol(ixp,jy ,n,indexh)*vvpol(ixp,jy ,n,indexh)+ & |
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216 | vvpol(ix ,jyp,n,indexh)*vvpol(ix ,jyp,n,indexh)+ & |
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217 | vvpol(ixp,jyp,n,indexh)*vvpol(ixp,jyp,n,indexh) |
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218 | else |
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219 | y1(m)=p1*uu(ix ,jy ,n,indexh) & |
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220 | +p2*uu(ixp,jy ,n,indexh) & |
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221 | +p3*uu(ix ,jyp,n,indexh) & |
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222 | +p4*uu(ixp,jyp,n,indexh) |
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223 | y2(m)=p1*vv(ix ,jy ,n,indexh) & |
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224 | +p2*vv(ixp,jy ,n,indexh) & |
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225 | +p3*vv(ix ,jyp,n,indexh) & |
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226 | +p4*vv(ixp,jyp,n,indexh) |
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227 | usl=usl+uu(ix ,jy ,n,indexh)+uu(ixp,jy ,n,indexh) & |
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228 | +uu(ix ,jyp,n,indexh)+uu(ixp,jyp,n,indexh) |
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229 | vsl=vsl+vv(ix ,jy ,n,indexh)+vv(ixp,jy ,n,indexh) & |
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230 | +vv(ix ,jyp,n,indexh)+vv(ixp,jyp,n,indexh) |
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231 | |
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232 | usq=usq+uu(ix ,jy ,n,indexh)*uu(ix ,jy ,n,indexh)+ & |
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233 | uu(ixp,jy ,n,indexh)*uu(ixp,jy ,n,indexh)+ & |
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234 | uu(ix ,jyp,n,indexh)*uu(ix ,jyp,n,indexh)+ & |
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235 | uu(ixp,jyp,n,indexh)*uu(ixp,jyp,n,indexh) |
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236 | vsq=vsq+vv(ix ,jy ,n,indexh)*vv(ix ,jy ,n,indexh)+ & |
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237 | vv(ixp,jy ,n,indexh)*vv(ixp,jy ,n,indexh)+ & |
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238 | vv(ix ,jyp,n,indexh)*vv(ix ,jyp,n,indexh)+ & |
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239 | vv(ixp,jyp,n,indexh)*vv(ixp,jyp,n,indexh) |
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240 | endif |
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241 | y3(m)=p1*ww(ix ,jy ,n,indexh) & |
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242 | +p2*ww(ixp,jy ,n,indexh) & |
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243 | +p3*ww(ix ,jyp,n,indexh) & |
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244 | +p4*ww(ixp,jyp,n,indexh) |
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245 | rhograd1(m)=p1*drhodz(ix ,jy ,n,indexh) & |
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246 | +p2*drhodz(ixp,jy ,n,indexh) & |
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247 | +p3*drhodz(ix ,jyp,n,indexh) & |
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248 | +p4*drhodz(ixp,jyp,n,indexh) |
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249 | rho1(m)=p1*rho(ix ,jy ,n,indexh) & |
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250 | +p2*rho(ixp,jy ,n,indexh) & |
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251 | +p3*rho(ix ,jyp,n,indexh) & |
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252 | +p4*rho(ixp,jyp,n,indexh) |
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253 | wsl=wsl+ww(ix ,jy ,n,indexh)+ww(ixp,jy ,n,indexh) & |
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254 | +ww(ix ,jyp,n,indexh)+ww(ixp,jyp,n,indexh) |
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255 | wsq=wsq+ww(ix ,jy ,n,indexh)*ww(ix ,jy ,n,indexh)+ & |
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256 | ww(ixp,jy ,n,indexh)*ww(ixp,jy ,n,indexh)+ & |
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257 | ww(ix ,jyp,n,indexh)*ww(ix ,jyp,n,indexh)+ & |
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258 | ww(ixp,jyp,n,indexh)*ww(ixp,jyp,n,indexh) |
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259 | |
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260 | |
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261 | enddo |
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262 | uprof(n)=(y1(1)*dt2+y1(2)*dt1)*dtt |
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263 | vprof(n)=(y2(1)*dt2+y2(2)*dt1)*dtt |
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264 | wprof(n)=(y3(1)*dt2+y3(2)*dt1)*dtt |
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265 | rhoprof(n)=(rho1(1)*dt2+rho1(2)*dt1)*dtt |
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266 | rhogradprof(n)=(rhograd1(1)*dt2+rhograd1(2)*dt1)*dtt |
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267 | indzindicator(n)=.false. |
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268 | |
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269 | ! Compute standard deviations |
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270 | !**************************** |
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271 | |
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272 | xaux=usq-usl*usl/8. |
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273 | if (xaux.lt.eps) then |
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274 | usigprof(n)=0. |
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275 | else |
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276 | usigprof(n)=sqrt(xaux/7.) |
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277 | endif |
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278 | |
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279 | xaux=vsq-vsl*vsl/8. |
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280 | if (xaux.lt.eps) then |
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281 | vsigprof(n)=0. |
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282 | else |
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283 | vsigprof(n)=sqrt(xaux/7.) |
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284 | endif |
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285 | |
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286 | |
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287 | xaux=wsq-wsl*wsl/8. |
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288 | if (xaux.lt.eps) then |
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289 | wsigprof(n)=0. |
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290 | else |
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291 | wsigprof(n)=sqrt(xaux/7.) |
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292 | endif |
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293 | |
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294 | enddo |
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295 | |
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296 | ! compute TKE for all levels, used for estimating turb length scale |
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297 | tkeprof2=-999. |
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298 | ! tkeprof2=0. |
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299 | do n=1,nz |
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300 | do m=1,2 |
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301 | indexh=memind(m) |
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302 | y4(m) =p1*tke(ix ,jy ,n,indexh) & |
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303 | +p2*tke(ixp,jy ,n,indexh) & |
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304 | +p3*tke(ix ,jyp,n,indexh) & |
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305 | +p4*tke(ixp,jyp,n,indexh) |
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306 | y5(m) =p1*ptt(ix ,jy ,n,indexh) & |
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307 | +p2*ptt(ixp,jy ,n,indexh) & |
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308 | +p3*ptt(ix ,jyp,n,indexh) & |
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309 | +p4*ptt(ixp,jyp,n,indexh) |
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310 | enddo |
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311 | tkeprof(n)=(y4(1)*dt2+y4(2)*dt1)*dtt |
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312 | pttprof(n)=(y5(1)*dt2+y5(2)*dt1)*dtt |
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313 | ! if (tkeprof(n).gt.tkeprof2) then |
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314 | ! tkeprof2=tkeprof(n) |
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315 | ! n2=n |
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316 | ! endif |
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317 | ! if (n.lt.20) then |
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318 | ! tkeprof2=tkeprof2+tkeprof(n) |
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319 | ! n2=20 |
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320 | ! endif |
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321 | enddo |
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322 | ! tkeprof(1)=0.33*tkeprof(1)+0.33*tkeprof(2)+0.33*tkeprof(3) |
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323 | ! write(*,*)'interpol_all,itime,xt,yt,zt',itime,xt,yt,zt |
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324 | ! write(*,*)(tkeprof(n),n=1,nz) |
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325 | |
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326 | end subroutine interpol_all |
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327 | |
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