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_rain(yy1,yy2,yy3,iy1,iy2,nxmax,nymax,nzmax,nx, & |
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24 | ny,memind,xt,yt,level,itime1,itime2,itime,yint1,yint2,yint3, & |
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25 | intiy1,intiy2,icmv) |
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26 | ! i i i i i i i |
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27 | ! i i i i i i i i o o o |
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28 | !**************************************************************************** |
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29 | ! * |
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30 | ! Interpolation of meteorological fields on 2-d model layers. * |
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31 | ! In horizontal direction bilinear interpolation interpolation is used. * |
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32 | ! Temporally a linear interpolation is used. * |
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33 | ! Three fields are interpolated at the same time. * |
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34 | ! * |
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35 | ! This is a special version of levlininterpol to save CPU time. * |
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36 | ! * |
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37 | ! 1 first time * |
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38 | ! 2 second time * |
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39 | ! * |
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40 | ! * |
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41 | ! Author: A. Stohl * |
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42 | ! * |
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43 | ! 30 August 1996 * |
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44 | ! * |
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45 | !**************************************************************************** |
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46 | ! * |
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47 | ! Variables: * |
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48 | ! * |
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49 | ! dt1,dt2 time differences between fields and current position * |
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50 | ! dz1,dz2 z distance between levels and current position * |
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51 | ! height(nzmax) heights of the model levels * |
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52 | ! indexh help variable * |
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53 | ! indz the level closest to the current trajectory position * |
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54 | ! indzh help variable * |
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55 | ! itime current time * |
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56 | ! itime1 time of the first wind field * |
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57 | ! itime2 time of the second wind field * |
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58 | ! ix,jy x,y coordinates of lower left subgrid point * |
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59 | ! level level at which interpolation shall be done * |
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60 | ! memind(3) points to the places of the wind fields * |
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61 | ! nx,ny actual field dimensions in x,y and z direction * |
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62 | ! nxmax,nymax,nzmax maximum field dimensions in x,y and z direction * |
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63 | ! xt current x coordinate * |
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64 | ! yint the final interpolated value * |
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65 | ! yt current y coordinate * |
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66 | ! yy(0:nxmax,0:nymax,nzmax,3) meteorological field used for interpolation * |
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67 | ! zt current z coordinate * |
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68 | ! * |
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69 | ! 19-Oct-2007 WANG, W change cumulated rain to hourly rain |
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70 | ! yy1 is accumulated largescale precipitation (mm) |
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71 | ! yy2 is ''''''''''''convective ''''''''''''''''' |
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72 | !**************************************************************************** |
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73 | |
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74 | implicit none |
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75 | |
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76 | integer :: nx,ny,nxmax,nymax,nzmax,memind(2),m,ix,jy,ixp,jyp |
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77 | ! integer :: itime,itime1,itime2,level,indexh,i1,i2 |
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78 | integer :: itime,itime1,itime2,level,indexh,i1,i2,ip1,ip2,ip3,ip4 |
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79 | integer :: intiy1,intiy2,ipsum,icmv |
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80 | |
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81 | real :: yy1(0:nxmax-1,0:nymax-1,nzmax,2) |
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82 | real :: yy2(0:nxmax-1,0:nymax-1,nzmax,2) |
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83 | real :: yy3(0:nxmax-1,0:nymax-1,nzmax,2) |
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84 | |
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85 | integer :: iy1(0:nxmax-1,0:nymax-1,2),iy2(0:nxmax-1,0:nymax-1,2) |
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86 | |
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87 | ! real :: ddx,ddy,rddx,rddy,dt1,dt2,dt,y1(2),y2(2),y3(2) |
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88 | real :: ddx,ddy,rddx,rddy,dt1,dt2,dt,y1(2),y2(2),y3(2),yi1(2),yi2(2) |
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89 | |
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90 | ! real :: xt,yt,yint1,yint2,yint3,p1,p2,p3,p4 |
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91 | real :: xt,yt,yint1,yint2,yint3,yint4,p1,p2,p3,p4 |
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92 | |
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93 | |
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94 | |
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95 | ! If point at border of grid -> small displacement into grid |
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96 | !*********************************************************** |
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97 | |
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98 | if (xt.ge.real(nx-1)) xt=real(nx-1)-0.00001 |
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99 | if (yt.ge.real(ny-1)) yt=real(ny-1)-0.00001 |
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100 | |
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101 | |
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102 | |
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103 | !********************************************************************** |
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104 | ! 1.) Bilinear horizontal interpolation |
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105 | ! This has to be done separately for 2 fields (Temporal) |
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106 | !******************************************************* |
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107 | |
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108 | ! Determine the lower left corner and its distance to the current position |
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109 | !************************************************************************* |
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110 | |
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111 | ix=int(xt) |
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112 | jy=int(yt) |
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113 | ixp=ix+1 |
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114 | jyp=jy+1 |
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115 | ddx=xt-real(ix) |
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116 | ddy=yt-real(jy) |
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117 | rddx=1.-ddx |
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118 | rddy=1.-ddy |
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119 | p1=rddx*rddy |
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120 | p2=ddx*rddy |
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121 | p3=rddx*ddy |
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122 | p4=ddx*ddy |
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123 | |
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124 | |
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125 | ! Loop over 2 time steps |
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126 | !*********************** |
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127 | |
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128 | ! y1 and y2 are accumulated rain, need change to hourly rain |
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129 | |
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130 | i1=memind(1) |
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131 | i2=memind(2) |
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132 | !! time interval between two fields, second to hour |
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133 | dt=real(itime2-itime1)/3600.0 |
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134 | |
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135 | |
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136 | yint1=p1*(yy1(ix ,jy ,level,i2)- & |
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137 | yy1(ix ,jy ,level,i1)) & |
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138 | + p2*(yy1(ixp,jy ,level,i2)- & |
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139 | yy1(ixp,jy ,level,i1)) & |
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140 | + p3*(yy1(ix ,jyp,level,i2)- & |
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141 | yy1(ix ,jyp,level,i1)) & |
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142 | + p4*(yy1(ixp,jyp,level,i2)- & |
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143 | yy1(ixp,jyp,level,i1)) |
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144 | yint1=yint1/dt |
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145 | |
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146 | yint2=p1*(yy2(ix ,jy ,level,i2)- & |
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147 | yy2(ix ,jy ,level,i1)) & |
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148 | + p2*(yy2(ixp,jy ,level,i2)- & |
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149 | yy2(ixp,jy ,level,i1)) & |
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150 | + p3*(yy2(ix ,jyp,level,i2)- & |
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151 | yy2(ix ,jyp,level,i1)) & |
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152 | + p4*(yy2(ixp,jyp,level,i2)- & |
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153 | yy2(ixp,jyp,level,i1)) |
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154 | yint2=yint2/dt |
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155 | |
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156 | |
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157 | ! Y3 is cloud fraction in an hour |
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158 | do m=1,2 |
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159 | indexh=memind(m) |
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160 | y3(m)=p1*yy3(ix ,jy ,level,indexh) & |
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161 | + p2*yy3(ixp,jy ,level,indexh) & |
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162 | + p3*yy3(ix ,jyp,level,indexh) & |
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163 | + p4*yy3(ixp,jyp,level,indexh) |
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164 | enddo |
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165 | |
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166 | |
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167 | ! CDA new clouds |
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168 | |
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169 | do m=1,2 |
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170 | indexh=memind(m) |
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171 | |
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172 | ip1=1 |
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173 | ip2=1 |
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174 | ip3=1 |
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175 | ip4=1 |
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176 | if (iy1(ix ,jy ,indexh) .eq. icmv) ip1=0 |
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177 | if (iy1(ixp,jy ,indexh) .eq. icmv) ip2=0 |
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178 | if (iy1(ix ,jyp,indexh) .eq. icmv) ip3=0 |
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179 | if (iy1(ixp,jyp,indexh) .eq. icmv) ip4=0 |
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180 | ipsum= ip1+ip2+ip3+ip4 |
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181 | if (ipsum .eq. 0) then |
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182 | yi1(m)=icmv |
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183 | else |
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184 | yi1(m)=(ip1*p1*iy1(ix ,jy ,indexh) & |
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185 | + ip2*p2*iy1(ixp,jy ,indexh) & |
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186 | + ip3*p3*iy1(ix ,jyp,indexh) & |
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187 | + ip4*p4*iy1(ixp,jyp,indexh))/ipsum |
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188 | endif |
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189 | |
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190 | ip1=1 |
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191 | ip2=1 |
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192 | ip3=1 |
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193 | ip4=1 |
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194 | if (iy2(ix ,jy ,indexh) .eq. icmv) ip1=0 |
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195 | if (iy2(ixp,jy ,indexh) .eq. icmv) ip2=0 |
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196 | if (iy2(ix ,jyp,indexh) .eq. icmv) ip3=0 |
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197 | if (iy2(ixp,jyp,indexh) .eq. icmv) ip4=0 |
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198 | ipsum= ip1+ip2+ip3+ip4 |
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199 | if (ipsum .eq. 0) then |
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200 | yi2(m)=icmv |
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201 | else |
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202 | yi2(m)=(ip1*p1*iy2(ix ,jy ,indexh) & |
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203 | + ip2*p2*iy2(ixp,jy ,indexh) & |
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204 | + ip3*p3*iy2(ix ,jyp,indexh) & |
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205 | + ip4*p4*iy2(ixp,jyp,indexh))/ipsum |
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206 | endif |
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207 | enddo |
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208 | !CPS end clouds |
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209 | |
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210 | |
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211 | 10 continue |
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212 | |
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213 | |
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214 | !************************************ |
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215 | ! 2.) Temporal interpolation (linear) |
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216 | !************************************ |
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217 | |
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218 | dt1=real(itime-itime1) |
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219 | dt2=real(itime2-itime) |
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220 | dt=dt1+dt2 |
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221 | |
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222 | ! yint1=(y1(1)*dt2+y1(2)*dt1)/dt |
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223 | ! yint2=(y2(1)*dt2+y2(2)*dt1)/dt |
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224 | yint3=(y3(1)*dt2+y3(2)*dt1)/dt |
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225 | |
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226 | |
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227 | !CPS clouds: |
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228 | intiy1=(yi1(1)*dt2 + yi1(2)*dt1)/dt |
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229 | if (yi1(1) .eq. float(icmv)) intiy1=yi1(2) |
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230 | if (yi1(2) .eq. float(icmv)) intiy1=yi1(1) |
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231 | |
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232 | intiy2=(yi2(1)*dt2 + yi2(2)*dt1)/dt |
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233 | if (yi2(1) .eq. float(icmv)) intiy2=yi2(2) |
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234 | if (yi2(2) .eq. float(icmv)) intiy2=yi2(1) |
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235 | |
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236 | if (intiy1 .ne. icmv .and. intiy2 .ne. icmv) then |
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237 | intiy2 = intiy1 + intiy2 ! convert cloud thickness to cloud top |
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238 | else |
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239 | intiy1=icmv |
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240 | intiy2=icmv |
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241 | endif |
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242 | !CPS end clouds |
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243 | |
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244 | |
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245 | |
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246 | |
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247 | |
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248 | end subroutine interpol_rain |
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249 | |
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