1 | !********************************************************************** |
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2 | ! Copyright 1998,1999,2000,2001,2002,2005,2007,2008,2009,2010 * |
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3 | ! Andreas Stohl, Petra Seibert, A. Frank, Gerhard Wotawa, * |
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4 | ! Caroline Forster, Sabine Eckhardt, John Burkhart, Harald Sodemann * |
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5 | ! * |
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6 | ! This file is part of FLEXPART. * |
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7 | ! * |
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8 | ! FLEXPART is free software: you can redistribute it and/or modify * |
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9 | ! it under the terms of the GNU General Public License as published by* |
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10 | ! the Free Software Foundation, either version 3 of the License, or * |
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11 | ! (at your option) any later version. * |
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12 | ! * |
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13 | ! FLEXPART is distributed in the hope that it will be useful, * |
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14 | ! but WITHOUT ANY WARRANTY; without even the implied warranty of * |
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15 | ! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * |
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16 | ! GNU General Public License for more details. * |
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17 | ! * |
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18 | ! You should have received a copy of the GNU General Public License * |
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19 | ! along with FLEXPART. If not, see <http://www.gnu.org/licenses/>. * |
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20 | !********************************************************************** |
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21 | |
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22 | subroutine interpol_rain_nests(yy1,yy2,yy3,nxmaxn,nymaxn,nzmax, & |
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23 | maxnests,ngrid,nxn,nyn,memind,xt,yt,level,itime1,itime2,itime, & |
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24 | yint1,yint2,yint3) |
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25 | ! i i i i i i |
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26 | ! i i i i i i i i i i i |
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27 | ! 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 for nested * |
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31 | ! grids. This routine is related to levlin3interpol.f for the mother domain* |
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32 | ! * |
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33 | ! In horizontal direction bilinear interpolation interpolation is used. * |
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34 | ! Temporally a linear interpolation is used. * |
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35 | ! Three fields are interpolated at the same time. * |
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36 | ! * |
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37 | ! This is a special version of levlininterpol to save CPU time. * |
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38 | ! * |
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39 | ! 1 first time * |
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40 | ! 2 second time * |
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41 | ! * |
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42 | ! * |
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43 | ! Author: A. Stohl * |
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44 | ! * |
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45 | ! 15 March 2000 * |
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46 | ! * |
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47 | !**************************************************************************** |
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48 | ! * |
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49 | ! Variables: * |
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50 | ! * |
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51 | ! dt1,dt2 time differences between fields and current position * |
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52 | ! dz1,dz2 z distance between levels and current position * |
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53 | ! height(nzmax) heights of the model levels * |
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54 | ! indexh help variable * |
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55 | ! indz the level closest to the current trajectory position * |
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56 | ! indzh help variable * |
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57 | ! itime current time * |
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58 | ! itime1 time of the first wind field * |
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59 | ! itime2 time of the second wind field * |
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60 | ! ix,jy x,y coordinates of lower left subgrid point * |
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61 | ! level level at which interpolation shall be done * |
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62 | ! memind(3) points to the places of the wind fields * |
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63 | ! nx,ny actual field dimensions in x,y and z direction * |
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64 | ! nxmax,nymax,nzmax maximum field dimensions in x,y and z direction * |
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65 | ! xt current x coordinate * |
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66 | ! yint the final interpolated value * |
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67 | ! yt current y coordinate * |
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68 | ! yy(0:nxmax,0:nymax,nzmax,3) meteorological field used for interpolation * |
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69 | ! zt current z coordinate * |
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70 | ! * |
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71 | !**************************************************************************** |
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72 | use par_mod, only: numwfmem |
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73 | |
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74 | implicit none |
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75 | |
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76 | integer :: maxnests,ngrid |
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77 | integer :: nxn(maxnests),nyn(maxnests),nxmaxn,nymaxn,nzmax,memind(numwfmem) |
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78 | integer :: m,ix,jy,ixp,jyp,itime,itime1,itime2,level,indexh |
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79 | real :: yy1(0:nxmaxn-1,0:nymaxn-1,nzmax,numwfmem,maxnests) |
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80 | real :: yy2(0:nxmaxn-1,0:nymaxn-1,nzmax,numwfmem,maxnests) |
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81 | real :: yy3(0:nxmaxn-1,0:nymaxn-1,nzmax,numwfmem,maxnests) |
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82 | real :: ddx,ddy,rddx,rddy,dt1,dt2,dt,y1(2),y2(2),y3(2) |
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83 | real :: xt,yt,yint1,yint2,yint3,p1,p2,p3,p4 |
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84 | |
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85 | |
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86 | |
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87 | ! If point at border of grid -> small displacement into grid |
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88 | !*********************************************************** |
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89 | |
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90 | if (xt.ge.(real(nxn(ngrid)-1)-0.0001)) & |
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91 | xt=real(nxn(ngrid)-1)-0.0001 |
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92 | if (yt.ge.(real(nyn(ngrid)-1)-0.0001)) & |
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93 | yt=real(nyn(ngrid)-1)-0.0001 |
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94 | |
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95 | |
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96 | |
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97 | !********************************************************************** |
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98 | ! 1.) Bilinear horizontal interpolation |
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99 | ! This has to be done separately for 2 fields (Temporal) |
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100 | !******************************************************* |
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101 | |
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102 | ! Determine the lower left corner and its distance to the current position |
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103 | !************************************************************************* |
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104 | |
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105 | ix=int(xt) |
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106 | jy=int(yt) |
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107 | ixp=ix+1 |
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108 | jyp=jy+1 |
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109 | ddx=xt-real(ix) |
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110 | ddy=yt-real(jy) |
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111 | rddx=1.-ddx |
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112 | rddy=1.-ddy |
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113 | p1=rddx*rddy |
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114 | p2=ddx*rddy |
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115 | p3=rddx*ddy |
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116 | p4=ddx*ddy |
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117 | |
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118 | |
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119 | ! Loop over 2 time steps |
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120 | !*********************** |
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121 | |
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122 | do m=1,2 |
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123 | indexh=memind(m) |
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124 | |
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125 | y1(m)=p1*yy1(ix ,jy ,level,indexh,ngrid) & |
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126 | + p2*yy1(ixp,jy ,level,indexh,ngrid) & |
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127 | + p3*yy1(ix ,jyp,level,indexh,ngrid) & |
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128 | + p4*yy1(ixp,jyp,level,indexh,ngrid) |
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129 | y2(m)=p1*yy2(ix ,jy ,level,indexh,ngrid) & |
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130 | + p2*yy2(ixp,jy ,level,indexh,ngrid) & |
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131 | + p3*yy2(ix ,jyp,level,indexh,ngrid) & |
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132 | + p4*yy2(ixp,jyp,level,indexh,ngrid) |
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133 | y3(m)=p1*yy3(ix ,jy ,level,indexh,ngrid) & |
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134 | + p2*yy3(ixp,jy ,level,indexh,ngrid) & |
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135 | + p3*yy3(ix ,jyp,level,indexh,ngrid) & |
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136 | + p4*yy3(ixp,jyp,level,indexh,ngrid) |
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137 | end do |
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138 | |
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139 | |
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140 | !************************************ |
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141 | ! 2.) Temporal interpolation (linear) |
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142 | !************************************ |
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143 | |
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144 | dt1=real(itime-itime1) |
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145 | dt2=real(itime2-itime) |
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146 | dt=dt1+dt2 |
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147 | |
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148 | yint1=(y1(1)*dt2+y1(2)*dt1)/dt |
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149 | yint2=(y2(1)*dt2+y2(2)*dt1)/dt |
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150 | yint3=(y3(1)*dt2+y3(2)*dt1)/dt |
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151 | |
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152 | |
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153 | end subroutine interpol_rain_nests |
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