1 | subroutine boundcond_domainfill(itime,loutend) |
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2 | ! i i |
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3 | !***************************************************************************** |
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4 | ! * |
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5 | ! Particles are created by this subroutine continuously throughout the * |
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6 | ! simulation at the boundaries of the domain-filling box. * |
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7 | ! All particles carry the same amount of mass which alltogether comprises the* |
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8 | ! mass of air within the box, which remains (more or less) constant. * |
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9 | ! * |
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10 | ! Author: A. Stohl * |
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11 | ! * |
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12 | ! 16 October 2002 * |
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13 | ! * |
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14 | !***************************************************************************** |
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15 | ! * |
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16 | ! Variables: * |
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17 | ! * |
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18 | ! nx_we(2) grid indices for western and eastern boundary of domain- * |
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19 | ! filling trajectory calculations * |
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20 | ! ny_sn(2) grid indices for southern and northern boundary of domain- * |
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21 | ! filling trajectory calculations * |
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22 | ! * |
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23 | !***************************************************************************** |
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24 | |
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25 | use point_mod |
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26 | use par_mod |
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27 | use com_mod |
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28 | use random_mod, only: ran1 |
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29 | |
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30 | implicit none |
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31 | |
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32 | real :: dz,dz1,dz2,dt1,dt2,dtt,ylat,xm,cosfact,accmasst |
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33 | integer :: itime,in,indz,indzp,i,loutend |
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34 | integer :: j,k,ix,jy,m,indzh,indexh,minpart,ipart,mmass |
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35 | integer :: numactiveparticles |
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36 | |
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37 | real :: windl(2),rhol(2) |
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38 | real :: windhl(2),rhohl(2) |
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39 | real :: windx,rhox |
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40 | real :: deltaz,boundarea,fluxofmass |
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41 | |
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42 | integer :: ixm,ixp,jym,jyp,indzm,mm |
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43 | real :: pvpart,ddx,ddy,rddx,rddy,p1,p2,p3,p4,y1(2),yh1(2) |
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44 | |
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45 | integer :: idummy = -11 |
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46 | |
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47 | |
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48 | ! If domain-filling is global, no boundary conditions are needed |
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49 | !*************************************************************** |
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50 | |
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51 | if (gdomainfill) return |
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52 | |
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53 | accmasst=0. |
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54 | numactiveparticles=0 |
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55 | |
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56 | ! Terminate trajectories that have left the domain, if domain-filling |
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57 | ! trajectory calculation domain is not global |
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58 | !******************************************************************** |
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59 | |
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60 | do i=1,numpart |
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61 | if (itra1(i).eq.itime) then |
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62 | if ((ytra1(i).gt.real(ny_sn(2))).or. & |
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63 | (ytra1(i).lt.real(ny_sn(1)))) itra1(i)=-999999999 |
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64 | if (((.not.xglobal).or.(nx_we(2).ne.(nx-2))).and. & |
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65 | ((xtra1(i).lt.real(nx_we(1))).or. & |
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66 | (xtra1(i).gt.real(nx_we(2))))) itra1(i)=-999999999 |
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67 | endif |
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68 | if (itra1(i).ne.-999999999) numactiveparticles= & |
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69 | numactiveparticles+1 |
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70 | end do |
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71 | |
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72 | |
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73 | ! Determine auxiliary variables for time interpolation |
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74 | !***************************************************** |
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75 | |
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76 | dt1=real(itime-memtime(1)) |
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77 | dt2=real(memtime(2)-itime) |
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78 | dtt=1./(dt1+dt2) |
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79 | |
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80 | ! Initialize auxiliary variable used to search for vacant storage space |
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81 | !********************************************************************** |
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82 | |
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83 | minpart=1 |
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84 | |
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85 | !*************************************** |
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86 | ! Western and eastern boundary condition |
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87 | !*************************************** |
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88 | |
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89 | ! Loop from south to north |
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90 | !************************* |
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91 | |
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92 | do jy=ny_sn(1),ny_sn(2) |
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93 | |
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94 | ! Loop over western (index 1) and eastern (index 2) boundary |
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95 | !*********************************************************** |
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96 | |
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97 | do k=1,2 |
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98 | |
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99 | ! Loop over all release locations in a column |
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100 | !******************************************** |
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101 | |
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102 | do j=1,numcolumn_we(k,jy) |
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103 | |
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104 | ! Determine, for each release location, the area of the corresponding boundary |
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105 | !***************************************************************************** |
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106 | |
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107 | if (j.eq.1) then |
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108 | deltaz=(zcolumn_we(k,jy,2)+zcolumn_we(k,jy,1))/2. |
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109 | else if (j.eq.numcolumn_we(k,jy)) then |
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110 | ! deltaz=height(nz)-(zcolumn_we(k,jy,j-1)+ |
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111 | ! + zcolumn_we(k,jy,j))/2. |
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112 | ! In order to avoid taking a very high column for very many particles, |
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113 | ! use the deltaz from one particle below instead |
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114 | deltaz=(zcolumn_we(k,jy,j)-zcolumn_we(k,jy,j-2))/2. |
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115 | else |
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116 | deltaz=(zcolumn_we(k,jy,j+1)-zcolumn_we(k,jy,j-1))/2. |
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117 | endif |
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118 | if ((jy.eq.ny_sn(1)).or.(jy.eq.ny_sn(2))) then |
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119 | boundarea=deltaz*111198.5/2.*dy |
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120 | else |
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121 | boundarea=deltaz*111198.5*dy |
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122 | endif |
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123 | |
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124 | |
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125 | ! Interpolate the wind velocity and density to the release location |
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126 | !****************************************************************** |
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127 | |
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128 | ! Determine the model level below the release position |
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129 | !***************************************************** |
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130 | |
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131 | do i=2,nz |
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132 | if (height(i).gt.zcolumn_we(k,jy,j)) then |
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133 | indz=i-1 |
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134 | indzp=i |
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135 | goto 6 |
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136 | endif |
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137 | end do |
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138 | 6 continue |
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139 | |
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140 | ! Vertical distance to the level below and above current position |
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141 | !**************************************************************** |
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142 | |
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143 | dz1=zcolumn_we(k,jy,j)-height(indz) |
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144 | dz2=height(indzp)-zcolumn_we(k,jy,j) |
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145 | dz=1./(dz1+dz2) |
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146 | |
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147 | ! Vertical and temporal interpolation |
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148 | !************************************ |
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149 | |
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150 | do m=1,2 |
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151 | indexh=memind(m) |
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152 | do in=1,2 |
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153 | indzh=indz+in-1 |
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154 | windl(in)=uu(nx_we(k),jy,indzh,indexh) |
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155 | rhol(in)=rho(nx_we(k),jy,indzh,indexh) |
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156 | end do |
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157 | |
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158 | windhl(m)=(dz2*windl(1)+dz1*windl(2))*dz |
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159 | rhohl(m)=(dz2*rhol(1)+dz1*rhol(2))*dz |
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160 | end do |
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161 | |
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162 | windx=(windhl(1)*dt2+windhl(2)*dt1)*dtt |
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163 | rhox=(rhohl(1)*dt2+rhohl(2)*dt1)*dtt |
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164 | |
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165 | ! Calculate mass flux |
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166 | !******************** |
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167 | |
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168 | fluxofmass=windx*rhox*boundarea*real(lsynctime) |
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169 | |
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170 | |
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171 | ! If the mass flux is directed into the domain, add it to previous mass fluxes; |
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172 | ! if it is out of the domain, set accumulated mass flux to zero |
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173 | !****************************************************************************** |
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174 | |
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175 | if (k.eq.1) then |
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176 | if (fluxofmass.ge.0.) then |
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177 | acc_mass_we(k,jy,j)=acc_mass_we(k,jy,j)+fluxofmass |
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178 | else |
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179 | acc_mass_we(k,jy,j)=0. |
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180 | endif |
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181 | else |
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182 | if (fluxofmass.le.0.) then |
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183 | acc_mass_we(k,jy,j)=acc_mass_we(k,jy,j)+abs(fluxofmass) |
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184 | else |
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185 | acc_mass_we(k,jy,j)=0. |
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186 | endif |
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187 | endif |
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188 | accmasst=accmasst+acc_mass_we(k,jy,j) |
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189 | |
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190 | ! If the accumulated mass exceeds half the mass that each particle shall carry, |
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191 | ! one (or more) particle(s) is (are) released and the accumulated mass is |
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192 | ! reduced by the mass of this (these) particle(s) |
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193 | !****************************************************************************** |
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194 | |
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195 | if (acc_mass_we(k,jy,j).ge.xmassperparticle/2.) then |
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196 | mmass=int((acc_mass_we(k,jy,j)+xmassperparticle/2.)/ & |
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197 | xmassperparticle) |
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198 | acc_mass_we(k,jy,j)=acc_mass_we(k,jy,j)- & |
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199 | real(mmass)*xmassperparticle |
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200 | else |
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201 | mmass=0 |
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202 | endif |
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203 | |
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204 | do m=1,mmass |
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205 | do ipart=minpart,maxpart |
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206 | |
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207 | ! If a vacant storage space is found, attribute everything to this array element |
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208 | !***************************************************************************** |
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209 | |
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210 | if (itra1(ipart).ne.itime) then |
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211 | |
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212 | ! Assign particle positions |
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213 | !************************** |
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214 | |
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215 | xtra1(ipart)=real(nx_we(k)) |
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216 | if (jy.eq.ny_sn(1)) then |
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217 | ytra1(ipart)=real(jy)+0.5*ran1(idummy) |
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218 | else if (jy.eq.ny_sn(2)) then |
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219 | ytra1(ipart)=real(jy)-0.5*ran1(idummy) |
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220 | else |
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221 | ytra1(ipart)=real(jy)+(ran1(idummy)-.5) |
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222 | endif |
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223 | if (j.eq.1) then |
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224 | ztra1(ipart)=zcolumn_we(k,jy,1)+(zcolumn_we(k,jy,2)- & |
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225 | zcolumn_we(k,jy,1))/4. |
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226 | else if (j.eq.numcolumn_we(k,jy)) then |
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227 | ztra1(ipart)=(2.*zcolumn_we(k,jy,j)+ & |
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228 | zcolumn_we(k,jy,j-1)+height(nz))/4. |
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229 | else |
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230 | ztra1(ipart)=zcolumn_we(k,jy,j-1)+ran1(idummy)* & |
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231 | (zcolumn_we(k,jy,j+1)-zcolumn_we(k,jy,j-1)) |
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232 | endif |
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233 | |
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234 | ! Interpolate PV to the particle position |
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235 | !**************************************** |
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236 | ixm=int(xtra1(ipart)) |
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237 | jym=int(ytra1(ipart)) |
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238 | ixp=ixm+1 |
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239 | jyp=jym+1 |
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240 | ddx=xtra1(ipart)-real(ixm) |
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241 | ddy=ytra1(ipart)-real(jym) |
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242 | rddx=1.-ddx |
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243 | rddy=1.-ddy |
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244 | p1=rddx*rddy |
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245 | p2=ddx*rddy |
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246 | p3=rddx*ddy |
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247 | p4=ddx*ddy |
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248 | do i=2,nz |
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249 | if (height(i).gt.ztra1(ipart)) then |
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250 | indzm=i-1 |
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251 | indzp=i |
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252 | goto 26 |
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253 | endif |
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254 | end do |
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255 | 26 continue |
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256 | dz1=ztra1(ipart)-height(indzm) |
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257 | dz2=height(indzp)-ztra1(ipart) |
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258 | dz=1./(dz1+dz2) |
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259 | do mm=1,2 |
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260 | indexh=memind(mm) |
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261 | do in=1,2 |
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262 | indzh=indzm+in-1 |
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263 | y1(in)=p1*pv(ixm,jym,indzh,indexh) & |
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264 | +p2*pv(ixp,jym,indzh,indexh) & |
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265 | +p3*pv(ixm,jyp,indzh,indexh) & |
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266 | +p4*pv(ixp,jyp,indzh,indexh) |
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267 | end do |
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268 | yh1(mm)=(dz2*y1(1)+dz1*y1(2))*dz |
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269 | end do |
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270 | pvpart=(yh1(1)*dt2+yh1(2)*dt1)*dtt |
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271 | ylat=ylat0+ytra1(ipart)*dy |
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272 | if (ylat.lt.0.) pvpart=-1.*pvpart |
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273 | |
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274 | |
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275 | ! For domain-filling option 2 (stratospheric O3), do the rest only in the stratosphere |
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276 | !***************************************************************************** |
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277 | |
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278 | if (((ztra1(ipart).gt.3000.).and. & |
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279 | (pvpart.gt.pvcrit)).or.(mdomainfill.eq.1)) then |
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280 | nclass(ipart)=min(int(ran1(idummy)* & |
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281 | real(nclassunc))+1,nclassunc) |
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282 | numactiveparticles=numactiveparticles+1 |
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283 | numparticlecount=numparticlecount+1 |
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284 | npoint(ipart)=numparticlecount |
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285 | idt(ipart)=mintime |
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286 | itra1(ipart)=itime |
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287 | itramem(ipart)=itra1(ipart) |
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288 | itrasplit(ipart)=itra1(ipart)+ldirect*itsplit |
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289 | xmass1(ipart,1)=xmassperparticle |
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290 | if (mdomainfill.eq.2) xmass1(ipart,1)= & |
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291 | xmass1(ipart,1)*pvpart*48./29.*ozonescale/10.**9 |
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292 | else |
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293 | goto 71 |
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294 | endif |
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295 | |
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296 | |
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297 | ! Increase numpart, if necessary |
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298 | !******************************* |
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299 | |
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300 | numpart=max(numpart,ipart) |
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301 | goto 73 ! Storage space has been found, stop searching |
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302 | endif |
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303 | end do |
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304 | if (ipart.gt.maxpart) & |
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305 | stop 'boundcond_domainfill.f: too many particles required' |
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306 | 73 minpart=ipart+1 |
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307 | 71 continue |
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308 | end do |
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309 | |
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310 | |
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311 | end do |
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312 | end do |
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313 | end do |
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314 | |
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315 | |
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316 | !***************************************** |
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317 | ! Southern and northern boundary condition |
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318 | !***************************************** |
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319 | |
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320 | ! Loop from west to east |
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321 | !*********************** |
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322 | |
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323 | do ix=nx_we(1),nx_we(2) |
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324 | |
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325 | ! Loop over southern (index 1) and northern (index 2) boundary |
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326 | !************************************************************* |
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327 | |
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328 | do k=1,2 |
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329 | ylat=ylat0+real(ny_sn(k))*dy |
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330 | cosfact=cos(ylat*pi180) |
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331 | |
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332 | ! Loop over all release locations in a column |
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333 | !******************************************** |
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334 | |
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335 | do j=1,numcolumn_sn(k,ix) |
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336 | |
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337 | ! Determine, for each release location, the area of the corresponding boundary |
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338 | !***************************************************************************** |
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339 | |
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340 | if (j.eq.1) then |
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341 | deltaz=(zcolumn_sn(k,ix,2)+zcolumn_sn(k,ix,1))/2. |
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342 | else if (j.eq.numcolumn_sn(k,ix)) then |
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343 | ! deltaz=height(nz)-(zcolumn_sn(k,ix,j-1)+ |
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344 | ! + zcolumn_sn(k,ix,j))/2. |
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345 | ! In order to avoid taking a very high column for very many particles, |
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346 | ! use the deltaz from one particle below instead |
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347 | deltaz=(zcolumn_sn(k,ix,j)-zcolumn_sn(k,ix,j-2))/2. |
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348 | else |
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349 | deltaz=(zcolumn_sn(k,ix,j+1)-zcolumn_sn(k,ix,j-1))/2. |
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350 | endif |
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351 | if ((ix.eq.nx_we(1)).or.(ix.eq.nx_we(2))) then |
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352 | boundarea=deltaz*111198.5/2.*cosfact*dx |
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353 | else |
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354 | boundarea=deltaz*111198.5*cosfact*dx |
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355 | endif |
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356 | |
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357 | |
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358 | ! Interpolate the wind velocity and density to the release location |
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359 | !****************************************************************** |
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360 | |
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361 | ! Determine the model level below the release position |
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362 | !***************************************************** |
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363 | |
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364 | do i=2,nz |
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365 | if (height(i).gt.zcolumn_sn(k,ix,j)) then |
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366 | indz=i-1 |
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367 | indzp=i |
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368 | goto 16 |
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369 | endif |
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370 | end do |
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371 | 16 continue |
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372 | |
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373 | ! Vertical distance to the level below and above current position |
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374 | !**************************************************************** |
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375 | |
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376 | dz1=zcolumn_sn(k,ix,j)-height(indz) |
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377 | dz2=height(indzp)-zcolumn_sn(k,ix,j) |
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378 | dz=1./(dz1+dz2) |
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379 | |
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380 | ! Vertical and temporal interpolation |
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381 | !************************************ |
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382 | |
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383 | do m=1,2 |
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384 | indexh=memind(m) |
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385 | do in=1,2 |
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386 | indzh=indz+in-1 |
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387 | windl(in)=vv(ix,ny_sn(k),indzh,indexh) |
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388 | rhol(in)=rho(ix,ny_sn(k),indzh,indexh) |
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389 | end do |
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390 | |
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391 | windhl(m)=(dz2*windl(1)+dz1*windl(2))*dz |
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392 | rhohl(m)=(dz2*rhol(1)+dz1*rhol(2))*dz |
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393 | end do |
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394 | |
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395 | windx=(windhl(1)*dt2+windhl(2)*dt1)*dtt |
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396 | rhox=(rhohl(1)*dt2+rhohl(2)*dt1)*dtt |
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397 | |
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398 | ! Calculate mass flux |
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399 | !******************** |
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400 | |
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401 | fluxofmass=windx*rhox*boundarea*real(lsynctime) |
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402 | |
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403 | ! If the mass flux is directed into the domain, add it to previous mass fluxes; |
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404 | ! if it is out of the domain, set accumulated mass flux to zero |
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405 | !****************************************************************************** |
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406 | |
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407 | if (k.eq.1) then |
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408 | if (fluxofmass.ge.0.) then |
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409 | acc_mass_sn(k,ix,j)=acc_mass_sn(k,ix,j)+fluxofmass |
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410 | else |
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411 | acc_mass_sn(k,ix,j)=0. |
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412 | endif |
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413 | else |
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414 | if (fluxofmass.le.0.) then |
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415 | acc_mass_sn(k,ix,j)=acc_mass_sn(k,ix,j)+abs(fluxofmass) |
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416 | else |
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417 | acc_mass_sn(k,ix,j)=0. |
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418 | endif |
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419 | endif |
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420 | accmasst=accmasst+acc_mass_sn(k,ix,j) |
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421 | |
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422 | ! If the accumulated mass exceeds half the mass that each particle shall carry, |
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423 | ! one (or more) particle(s) is (are) released and the accumulated mass is |
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424 | ! reduced by the mass of this (these) particle(s) |
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425 | !****************************************************************************** |
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426 | |
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427 | if (acc_mass_sn(k,ix,j).ge.xmassperparticle/2.) then |
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428 | mmass=int((acc_mass_sn(k,ix,j)+xmassperparticle/2.)/ & |
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429 | xmassperparticle) |
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430 | acc_mass_sn(k,ix,j)=acc_mass_sn(k,ix,j)- & |
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431 | real(mmass)*xmassperparticle |
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432 | else |
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433 | mmass=0 |
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434 | endif |
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435 | |
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436 | do m=1,mmass |
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437 | do ipart=minpart,maxpart |
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438 | |
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439 | ! If a vacant storage space is found, attribute everything to this array element |
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440 | !***************************************************************************** |
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441 | |
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442 | if (itra1(ipart).ne.itime) then |
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443 | |
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444 | ! Assign particle positions |
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445 | !************************** |
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446 | |
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447 | ytra1(ipart)=real(ny_sn(k)) |
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448 | if (ix.eq.nx_we(1)) then |
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449 | xtra1(ipart)=real(ix)+0.5*ran1(idummy) |
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450 | else if (ix.eq.nx_we(2)) then |
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451 | xtra1(ipart)=real(ix)-0.5*ran1(idummy) |
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452 | else |
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453 | xtra1(ipart)=real(ix)+(ran1(idummy)-.5) |
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454 | endif |
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455 | if (j.eq.1) then |
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456 | ztra1(ipart)=zcolumn_sn(k,ix,1)+(zcolumn_sn(k,ix,2)- & |
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457 | zcolumn_sn(k,ix,1))/4. |
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458 | else if (j.eq.numcolumn_sn(k,ix)) then |
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459 | ztra1(ipart)=(2.*zcolumn_sn(k,ix,j)+ & |
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460 | zcolumn_sn(k,ix,j-1)+height(nz))/4. |
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461 | else |
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462 | ztra1(ipart)=zcolumn_sn(k,ix,j-1)+ran1(idummy)* & |
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463 | (zcolumn_sn(k,ix,j+1)-zcolumn_sn(k,ix,j-1)) |
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464 | endif |
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465 | |
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466 | |
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467 | ! Interpolate PV to the particle position |
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468 | !**************************************** |
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469 | ixm=int(xtra1(ipart)) |
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470 | jym=int(ytra1(ipart)) |
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471 | ixp=ixm+1 |
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472 | jyp=jym+1 |
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473 | ddx=xtra1(ipart)-real(ixm) |
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474 | ddy=ytra1(ipart)-real(jym) |
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475 | rddx=1.-ddx |
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476 | rddy=1.-ddy |
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477 | p1=rddx*rddy |
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478 | p2=ddx*rddy |
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479 | p3=rddx*ddy |
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480 | p4=ddx*ddy |
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481 | do i=2,nz |
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482 | if (height(i).gt.ztra1(ipart)) then |
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483 | indzm=i-1 |
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484 | indzp=i |
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485 | goto 126 |
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486 | endif |
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487 | end do |
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488 | 126 continue |
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489 | dz1=ztra1(ipart)-height(indzm) |
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490 | dz2=height(indzp)-ztra1(ipart) |
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491 | dz=1./(dz1+dz2) |
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492 | do mm=1,2 |
---|
493 | indexh=memind(mm) |
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494 | do in=1,2 |
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495 | indzh=indzm+in-1 |
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496 | y1(in)=p1*pv(ixm,jym,indzh,indexh) & |
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497 | +p2*pv(ixp,jym,indzh,indexh) & |
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498 | +p3*pv(ixm,jyp,indzh,indexh) & |
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499 | +p4*pv(ixp,jyp,indzh,indexh) |
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500 | end do |
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501 | yh1(mm)=(dz2*y1(1)+dz1*y1(2))*dz |
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502 | end do |
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503 | pvpart=(yh1(1)*dt2+yh1(2)*dt1)*dtt |
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504 | if (ylat.lt.0.) pvpart=-1.*pvpart |
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505 | |
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506 | |
---|
507 | ! For domain-filling option 2 (stratospheric O3), do the rest only in the stratosphere |
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508 | !***************************************************************************** |
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509 | |
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510 | if (((ztra1(ipart).gt.3000.).and. & |
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511 | (pvpart.gt.pvcrit)).or.(mdomainfill.eq.1)) then |
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512 | nclass(ipart)=min(int(ran1(idummy)* & |
---|
513 | real(nclassunc))+1,nclassunc) |
---|
514 | numactiveparticles=numactiveparticles+1 |
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515 | numparticlecount=numparticlecount+1 |
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516 | npoint(ipart)=numparticlecount |
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517 | idt(ipart)=mintime |
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518 | itra1(ipart)=itime |
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519 | itramem(ipart)=itra1(ipart) |
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520 | itrasplit(ipart)=itra1(ipart)+ldirect*itsplit |
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521 | xmass1(ipart,1)=xmassperparticle |
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522 | if (mdomainfill.eq.2) xmass1(ipart,1)= & |
---|
523 | xmass1(ipart,1)*pvpart*48./29.*ozonescale/10.**9 |
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524 | else |
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525 | goto 171 |
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526 | endif |
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527 | |
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528 | |
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529 | ! Increase numpart, if necessary |
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530 | !******************************* |
---|
531 | numpart=max(numpart,ipart) |
---|
532 | goto 173 ! Storage space has been found, stop searching |
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533 | endif |
---|
534 | end do |
---|
535 | if (ipart.gt.maxpart) & |
---|
536 | stop 'boundcond_domainfill.f: too many particles required' |
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537 | 173 minpart=ipart+1 |
---|
538 | 171 continue |
---|
539 | end do |
---|
540 | |
---|
541 | |
---|
542 | end do |
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543 | end do |
---|
544 | end do |
---|
545 | |
---|
546 | |
---|
547 | xm=0. |
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548 | do i=1,numpart |
---|
549 | if (itra1(i).eq.itime) xm=xm+xmass1(i,1) |
---|
550 | end do |
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551 | |
---|
552 | !write(*,*) itime,numactiveparticles,numparticlecount,numpart, |
---|
553 | ! +xm,accmasst,xm+accmasst |
---|
554 | |
---|
555 | |
---|
556 | ! If particles shall be dumped, then accumulated masses at the domain boundaries |
---|
557 | ! must be dumped, too, to be used for later runs |
---|
558 | !***************************************************************************** |
---|
559 | |
---|
560 | if ((ipout.gt.0).and.(itime.eq.loutend)) then |
---|
561 | open(unitboundcond,file=path(2)(1:length(2))//'boundcond.bin', & |
---|
562 | form='unformatted') |
---|
563 | write(unitboundcond) numcolumn_we,numcolumn_sn, & |
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564 | zcolumn_we,zcolumn_sn,acc_mass_we,acc_mass_sn |
---|
565 | close(unitboundcond) |
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566 | endif |
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567 | |
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568 | end subroutine boundcond_domainfill |
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