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_misslev(n,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) |
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32 | |
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33 | |
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34 | ! i |
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35 | !******************************************************************************* |
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36 | ! * |
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37 | ! This subroutine interpolates u,v,w, density and density gradients. * |
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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 | ! Update: 2 March 1999 * |
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43 | ! * |
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44 | ! Revision March 2005 by AST : all output variables in common block * |
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45 | ! calculation of standard deviation done in this * |
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46 | ! routine rather than subroutine call in order * |
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47 | ! to save computation time * |
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48 | ! * |
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49 | !******************************************************************************* |
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50 | ! * |
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51 | ! Variables: * |
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52 | ! n level * |
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53 | ! * |
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54 | ! Constants: * |
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55 | ! * |
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56 | !******************************************************************************* |
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57 | ! 12 JUNE 2007 by W Wang |
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58 | ! compute pttrof , add a variable y4 for interpolation * |
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59 | !******************************************************************************* |
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60 | |
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61 | use par_mod |
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62 | use com_mod |
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63 | ! use interpol_mod |
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64 | ! use hanna_mod |
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65 | |
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66 | implicit none |
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67 | |
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68 | |
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69 | ! Auxiliary variables needed for interpolation |
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70 | real :: y1(2),y2(2),y3(2),rho1(2),rhograd1(2),y4(2) |
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71 | real :: usl,vsl,wsl,usq,vsq,wsq,xaux |
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72 | integer :: m,n,indexh |
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73 | real,parameter :: eps=1.0e-30 |
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74 | |
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75 | real :: uprof(nzmax),vprof(nzmax),wprof(nzmax) |
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76 | real :: usigprof(nzmax),vsigprof(nzmax),wsigprof(nzmax) |
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77 | real :: rhoprof(nzmax),rhogradprof(nzmax) |
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78 | real :: tkeprof(nzmax),pttprof(nzmax) |
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79 | real :: u,v,w,usig,vsig,wsig,pvi |
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80 | |
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81 | real :: p1,p2,p3,p4,ddx,ddy,rddx,rddy,dtt,dt1,dt2 |
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82 | integer :: ix,jy,ixp,jyp,ngrid,indz,indzp |
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83 | logical :: depoindicator(maxspec) |
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84 | logical :: indzindicator(nzmax) |
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85 | real :: ust,wst,ol,h,zeta,sigu,sigv,tlu,tlv,tlw |
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86 | real :: sigw,dsigwdz,dsigw2dz |
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87 | |
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88 | real(kind=dp) :: xt,yt |
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89 | real :: zt |
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90 | |
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91 | !******************************************** |
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92 | ! Multilinear interpolation in time and space |
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93 | !******************************************** |
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94 | |
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95 | |
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96 | !************************************** |
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97 | ! 1.) Bilinear horizontal interpolation |
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98 | ! 2.) Temporal interpolation (linear) |
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99 | !************************************** |
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100 | |
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101 | ! Loop over 2 time steps |
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102 | !*********************** |
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103 | |
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104 | usl=0. |
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105 | vsl=0. |
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106 | wsl=0. |
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107 | usq=0. |
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108 | vsq=0. |
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109 | wsq=0. |
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110 | do m=1,2 |
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111 | indexh=memind(m) |
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112 | if (ngrid.lt.0) then |
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113 | y1(m)=p1*uupol(ix ,jy ,n,indexh) & |
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114 | +p2*uupol(ixp,jy ,n,indexh) & |
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115 | +p3*uupol(ix ,jyp,n,indexh) & |
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116 | +p4*uupol(ixp,jyp,n,indexh) |
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117 | y2(m)=p1*vvpol(ix ,jy ,n,indexh) & |
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118 | +p2*vvpol(ixp,jy ,n,indexh) & |
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119 | +p3*vvpol(ix ,jyp,n,indexh) & |
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120 | +p4*vvpol(ixp,jyp,n,indexh) |
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121 | usl=usl+uupol(ix ,jy ,n,indexh)+uupol(ixp,jy ,n,indexh) & |
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122 | +uupol(ix ,jyp,n,indexh)+uupol(ixp,jyp,n,indexh) |
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123 | vsl=vsl+vvpol(ix ,jy ,n,indexh)+vvpol(ixp,jy ,n,indexh) & |
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124 | +vvpol(ix ,jyp,n,indexh)+vvpol(ixp,jyp,n,indexh) |
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125 | |
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126 | usq=usq+uupol(ix ,jy ,n,indexh)*uupol(ix ,jy ,n,indexh)+ & |
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127 | uupol(ixp,jy ,n,indexh)*uupol(ixp,jy ,n,indexh)+ & |
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128 | uupol(ix ,jyp,n,indexh)*uupol(ix ,jyp,n,indexh)+ & |
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129 | uupol(ixp,jyp,n,indexh)*uupol(ixp,jyp,n,indexh) |
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130 | vsq=vsq+vvpol(ix ,jy ,n,indexh)*vvpol(ix ,jy ,n,indexh)+ & |
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131 | vvpol(ixp,jy ,n,indexh)*vvpol(ixp,jy ,n,indexh)+ & |
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132 | vvpol(ix ,jyp,n,indexh)*vvpol(ix ,jyp,n,indexh)+ & |
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133 | vvpol(ixp,jyp,n,indexh)*vvpol(ixp,jyp,n,indexh) |
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134 | else |
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135 | y1(m)=p1*uu(ix ,jy ,n,indexh) & |
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136 | +p2*uu(ixp,jy ,n,indexh) & |
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137 | +p3*uu(ix ,jyp,n,indexh) & |
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138 | +p4*uu(ixp,jyp,n,indexh) |
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139 | y2(m)=p1*vv(ix ,jy ,n,indexh) & |
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140 | +p2*vv(ixp,jy ,n,indexh) & |
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141 | +p3*vv(ix ,jyp,n,indexh) & |
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142 | +p4*vv(ixp,jyp,n,indexh) |
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143 | usl=usl+uu(ix ,jy ,n,indexh)+uu(ixp,jy ,n,indexh) & |
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144 | +uu(ix ,jyp,n,indexh)+uu(ixp,jyp,n,indexh) |
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145 | vsl=vsl+vv(ix ,jy ,n,indexh)+vv(ixp,jy ,n,indexh) & |
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146 | +vv(ix ,jyp,n,indexh)+vv(ixp,jyp,n,indexh) |
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147 | |
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148 | usq=usq+uu(ix ,jy ,n,indexh)*uu(ix ,jy ,n,indexh)+ & |
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149 | uu(ixp,jy ,n,indexh)*uu(ixp,jy ,n,indexh)+ & |
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150 | uu(ix ,jyp,n,indexh)*uu(ix ,jyp,n,indexh)+ & |
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151 | uu(ixp,jyp,n,indexh)*uu(ixp,jyp,n,indexh) |
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152 | vsq=vsq+vv(ix ,jy ,n,indexh)*vv(ix ,jy ,n,indexh)+ & |
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153 | vv(ixp,jy ,n,indexh)*vv(ixp,jy ,n,indexh)+ & |
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154 | vv(ix ,jyp,n,indexh)*vv(ix ,jyp,n,indexh)+ & |
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155 | vv(ixp,jyp,n,indexh)*vv(ixp,jyp,n,indexh) |
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156 | endif |
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157 | y3(m)=p1*ww(ix ,jy ,n,indexh) & |
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158 | +p2*ww(ixp,jy ,n,indexh) & |
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159 | +p3*ww(ix ,jyp,n,indexh) & |
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160 | +p4*ww(ixp,jyp,n,indexh) |
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161 | rhograd1(m)=p1*drhodz(ix ,jy ,n,indexh) & |
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162 | +p2*drhodz(ixp,jy ,n,indexh) & |
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163 | +p3*drhodz(ix ,jyp,n,indexh) & |
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164 | +p4*drhodz(ixp,jyp,n,indexh) |
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165 | rho1(m)=p1*rho(ix ,jy ,n,indexh) & |
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166 | +p2*rho(ixp,jy ,n,indexh) & |
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167 | +p3*rho(ix ,jyp,n,indexh) & |
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168 | +p4*rho(ixp,jyp,n,indexh) |
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169 | ! y4(m) =p1*ptt(ix ,jy ,n,indexh) & |
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170 | ! +p2*ptt(ixp,jy ,n,indexh) & |
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171 | ! +p3*ptt(ix ,jyp,n,indexh) & |
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172 | ! +p4*ptt(ixp,jyp,n,indexh) |
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173 | |
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174 | wsl=wsl+ww(ix ,jy ,n,indexh)+ww(ixp,jy ,n,indexh) & |
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175 | +ww(ix ,jyp,n,indexh)+ww(ixp,jyp,n,indexh) |
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176 | wsq=wsq+ww(ix ,jy ,n,indexh)*ww(ix ,jy ,n,indexh)+ & |
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177 | ww(ixp,jy ,n,indexh)*ww(ixp,jy ,n,indexh)+ & |
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178 | ww(ix ,jyp,n,indexh)*ww(ix ,jyp,n,indexh)+ & |
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179 | ww(ixp,jyp,n,indexh)*ww(ixp,jyp,n,indexh) |
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180 | end do |
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181 | uprof(n)=(y1(1)*dt2+y1(2)*dt1)*dtt |
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182 | vprof(n)=(y2(1)*dt2+y2(2)*dt1)*dtt |
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183 | wprof(n)=(y3(1)*dt2+y3(2)*dt1)*dtt |
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184 | rhoprof(n)=(rho1(1)*dt2+rho1(2)*dt1)*dtt |
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185 | rhogradprof(n)=(rhograd1(1)*dt2+rhograd1(2)*dt1)*dtt |
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186 | ! pttprof(n)=(y4(1)*dt2+y4(2)*dt1)*dtt |
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187 | indzindicator(n)=.false. |
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188 | |
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189 | |
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190 | ! Compute standard deviations |
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191 | !**************************** |
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192 | |
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193 | xaux=usq-usl*usl/8. |
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194 | if (xaux.lt.eps) then |
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195 | usigprof(n)=0. |
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196 | else |
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197 | usigprof(n)=sqrt(xaux/7.) |
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198 | endif |
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199 | |
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200 | xaux=vsq-vsl*vsl/8. |
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201 | if (xaux.lt.eps) then |
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202 | vsigprof(n)=0. |
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203 | else |
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204 | vsigprof(n)=sqrt(xaux/7.) |
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205 | endif |
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206 | |
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207 | |
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208 | xaux=wsq-wsl*wsl/8. |
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209 | if (xaux.lt.eps) then |
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210 | wsigprof(n)=0. |
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211 | else |
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212 | wsigprof(n)=sqrt(xaux/7.) |
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213 | endif |
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214 | |
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215 | |
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216 | end subroutine interpol_misslev |
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217 | |
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