| 1 | subroutine init_domainfill |
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| 2 | ! |
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| 3 | !***************************************************************************** |
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| 4 | ! * |
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| 5 | ! Initializes particles equally distributed over the first release location * |
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| 6 | ! specified in file RELEASES. This box is assumed to be the domain for doing * |
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| 7 | ! domain-filling trajectory calculations. * |
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| 8 | ! All particles carry the same amount of mass which alltogether comprises the* |
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| 9 | ! mass of air within the box. * |
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| 10 | ! * |
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| 11 | ! Author: A. Stohl * |
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| 12 | ! * |
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| 13 | ! 15 October 2002 * |
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| 14 | ! * |
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| 15 | !***************************************************************************** |
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| 16 | ! * |
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| 17 | ! Variables: * |
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| 18 | ! * |
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| 19 | ! numparticlecount consecutively counts the number of particles released * |
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| 20 | ! nx_we(2) grid indices for western and eastern boundary of domain- * |
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| 21 | ! filling trajectory calculations * |
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| 22 | ! ny_sn(2) grid indices for southern and northern boundary of domain- * |
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| 23 | ! filling trajectory calculations * |
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| 24 | ! * |
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| 25 | !***************************************************************************** |
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| 26 | |
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| 27 | use point_mod |
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| 28 | use par_mod |
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| 29 | use com_mod |
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| 30 | use random_mod |
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| 31 | |
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| 32 | implicit none |
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| 33 | |
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| 34 | integer :: j,ix,jy,kz,ncolumn,numparttot |
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| 35 | real :: gridarea(0:nymax-1),pp(nzmax),ylat,ylatp,ylatm,hzone |
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| 36 | real :: cosfactm,cosfactp,deltacol,dz1,dz2,dz,pnew,fractus |
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| 37 | real,parameter :: pih=pi/180. |
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| 38 | real :: colmass(0:nxmax-1,0:nymax-1),colmasstotal,zposition |
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| 39 | |
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| 40 | integer :: ixm,ixp,jym,jyp,indzm,indzp,in,indzh,i,jj |
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| 41 | real :: pvpart,ddx,ddy,rddx,rddy,p1,p2,p3,p4,y1(2) |
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| 42 | |
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| 43 | integer :: idummy = -11 |
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| 44 | |
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| 45 | |
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| 46 | ! Determine the release region (only full grid cells), over which particles |
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| 47 | ! shall be initialized |
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| 48 | ! Use 2 fields for west/east and south/north boundary |
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| 49 | !************************************************************************** |
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| 50 | |
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| 51 | nx_we(1)=max(int(xpoint1(1)),0) |
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| 52 | nx_we(2)=min((int(xpoint2(1))+1),nxmin1) |
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| 53 | ny_sn(1)=max(int(ypoint1(1)),0) |
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| 54 | ny_sn(2)=min((int(ypoint2(1))+1),nymin1) |
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| 55 | |
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| 56 | ! For global simulations (both global wind data and global domain-filling), |
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| 57 | ! set a switch, such that no boundary conditions are used |
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| 58 | !************************************************************************** |
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| 59 | if (xglobal.and.sglobal.and.nglobal) then |
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| 60 | if ((nx_we(1).eq.0).and.(nx_we(2).eq.nxmin1).and. & |
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| 61 | (ny_sn(1).eq.0).and.(ny_sn(2).eq.nymin1)) then |
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| 62 | gdomainfill=.true. |
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| 63 | else |
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| 64 | gdomainfill=.false. |
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| 65 | endif |
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| 66 | endif |
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| 67 | |
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| 68 | ! Exit here if resuming a run from particle dump |
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| 69 | !*********************************************** |
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| 70 | if (gdomainfill.and.ipin.ne.0) return |
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| 71 | |
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| 72 | ! Do not release particles twice (i.e., not at both in the leftmost and rightmost |
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| 73 | ! grid cell) for a global domain |
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| 74 | !***************************************************************************** |
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| 75 | if (xglobal) nx_we(2)=min(nx_we(2),nx-2) |
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| 76 | |
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| 77 | |
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| 78 | ! Calculate area of grid cell with formula M=2*pi*R*h*dx/360, |
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| 79 | ! see Netz, Formeln der Mathematik, 5. Auflage (1983), p.90 |
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| 80 | !************************************************************ |
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| 81 | |
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| 82 | do jy=ny_sn(1),ny_sn(2) ! loop about latitudes |
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| 83 | ylat=ylat0+real(jy)*dy |
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| 84 | ylatp=ylat+0.5*dy |
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| 85 | ylatm=ylat-0.5*dy |
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| 86 | if ((ylatm.lt.0).and.(ylatp.gt.0.)) then |
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| 87 | hzone=1./dyconst |
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| 88 | else |
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| 89 | cosfactp=cos(ylatp*pih)*r_earth |
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| 90 | cosfactm=cos(ylatm*pih)*r_earth |
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| 91 | if (cosfactp.lt.cosfactm) then |
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| 92 | hzone=sqrt(r_earth**2-cosfactp**2)- & |
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| 93 | sqrt(r_earth**2-cosfactm**2) |
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| 94 | else |
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| 95 | hzone=sqrt(r_earth**2-cosfactm**2)- & |
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| 96 | sqrt(r_earth**2-cosfactp**2) |
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| 97 | endif |
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| 98 | endif |
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| 99 | gridarea(jy)=2.*pi*r_earth*hzone*dx/360. |
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| 100 | end do |
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| 101 | |
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| 102 | ! Do the same for the south pole |
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| 103 | |
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| 104 | if (sglobal) then |
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| 105 | ylat=ylat0 |
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| 106 | ylatp=ylat+0.5*dy |
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| 107 | ylatm=ylat |
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| 108 | cosfactm=0. |
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| 109 | cosfactp=cos(ylatp*pih)*r_earth |
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| 110 | hzone=sqrt(r_earth**2-cosfactm**2)- & |
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| 111 | sqrt(r_earth**2-cosfactp**2) |
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| 112 | gridarea(0)=2.*pi*r_earth*hzone*dx/360. |
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| 113 | endif |
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| 114 | |
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| 115 | ! Do the same for the north pole |
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| 116 | |
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| 117 | if (nglobal) then |
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| 118 | ylat=ylat0+real(nymin1)*dy |
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| 119 | ylatp=ylat |
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| 120 | ylatm=ylat-0.5*dy |
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| 121 | cosfactp=0. |
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| 122 | cosfactm=cos(ylatm*pih)*r_earth |
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| 123 | hzone=sqrt(r_earth**2-cosfactp**2)- & |
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| 124 | sqrt(r_earth**2-cosfactm**2) |
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| 125 | gridarea(nymin1)=2.*pi*r_earth*hzone*dx/360. |
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| 126 | endif |
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| 127 | |
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| 128 | |
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| 129 | ! Calculate total mass of each grid column and of the whole atmosphere |
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| 130 | !********************************************************************* |
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| 131 | |
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| 132 | colmasstotal=0. |
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| 133 | do jy=ny_sn(1),ny_sn(2) ! loop about latitudes |
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| 134 | do ix=nx_we(1),nx_we(2) ! loop about longitudes |
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| 135 | pp(1)=rho(ix,jy,1,1)*r_air*tt(ix,jy,1,1) |
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| 136 | pp(nz)=rho(ix,jy,nz,1)*r_air*tt(ix,jy,nz,1) |
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| 137 | colmass(ix,jy)=(pp(1)-pp(nz))/ga*gridarea(jy) |
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| 138 | colmasstotal=colmasstotal+colmass(ix,jy) |
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| 139 | end do |
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| 140 | end do |
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| 141 | |
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| 142 | write(*,*) 'Atm. mass: ',colmasstotal |
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| 143 | |
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| 144 | |
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| 145 | if (ipin.eq.0) numpart=0 |
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| 146 | |
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| 147 | ! Determine the particle positions |
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| 148 | !********************************* |
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| 149 | |
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| 150 | numparttot=0 |
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| 151 | numcolumn=0 |
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| 152 | do jy=ny_sn(1),ny_sn(2) ! loop about latitudes |
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| 153 | ylat=ylat0+real(jy)*dy |
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| 154 | do ix=nx_we(1),nx_we(2) ! loop about longitudes |
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| 155 | ncolumn=nint(0.999*real(npart(1))*colmass(ix,jy)/ & |
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| 156 | colmasstotal) |
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| 157 | if (ncolumn.eq.0) goto 30 |
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| 158 | if (ncolumn.gt.numcolumn) numcolumn=ncolumn |
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| 159 | |
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| 160 | ! Calculate pressure at the altitudes of model surfaces, using the air density |
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| 161 | ! information, which is stored as a 3-d field |
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| 162 | !***************************************************************************** |
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| 163 | |
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| 164 | do kz=1,nz |
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| 165 | pp(kz)=rho(ix,jy,kz,1)*r_air*tt(ix,jy,kz,1) |
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| 166 | end do |
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| 167 | |
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| 168 | |
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| 169 | deltacol=(pp(1)-pp(nz))/real(ncolumn) |
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| 170 | pnew=pp(1)+deltacol/2. |
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| 171 | jj=0 |
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| 172 | do j=1,ncolumn |
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| 173 | jj=jj+1 |
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| 174 | |
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| 175 | |
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| 176 | ! For columns with many particles (i.e. around the equator), distribute |
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| 177 | ! the particles equally, for columns with few particles (i.e. around the |
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| 178 | ! poles), distribute the particles randomly |
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| 179 | !*********************************************************************** |
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| 180 | |
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| 181 | |
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| 182 | if (ncolumn.gt.20) then |
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| 183 | pnew=pnew-deltacol |
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| 184 | else |
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| 185 | pnew=pp(1)-ran1(idummy)*(pp(1)-pp(nz)) |
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| 186 | endif |
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| 187 | |
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| 188 | do kz=1,nz-1 |
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| 189 | if ((pp(kz).ge.pnew).and.(pp(kz+1).lt.pnew)) then |
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| 190 | dz1=pp(kz)-pnew |
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| 191 | dz2=pnew-pp(kz+1) |
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| 192 | dz=1./(dz1+dz2) |
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| 193 | |
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| 194 | ! Assign particle position |
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| 195 | !************************* |
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| 196 | ! Do the following steps only if particles are not read in from previous model run |
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| 197 | !***************************************************************************** |
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| 198 | if (ipin.eq.0) then |
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| 199 | xtra1(numpart+jj)=real(ix)-0.5+ran1(idummy) |
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| 200 | if (ix.eq.0) xtra1(numpart+jj)=ran1(idummy) |
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| 201 | if (ix.eq.nxmin1) xtra1(numpart+jj)= & |
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| 202 | real(nxmin1)-ran1(idummy) |
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| 203 | ytra1(numpart+jj)=real(jy)-0.5+ran1(idummy) |
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| 204 | ztra1(numpart+jj)=(height(kz)*dz2+height(kz+1)*dz1)*dz |
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| 205 | if (ztra1(numpart+jj).gt.height(nz)-0.5) & |
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| 206 | ztra1(numpart+jj)=height(nz)-0.5 |
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| 207 | |
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| 208 | |
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| 209 | ! Interpolate PV to the particle position |
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| 210 | !**************************************** |
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| 211 | ixm=int(xtra1(numpart+jj)) |
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| 212 | jym=int(ytra1(numpart+jj)) |
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| 213 | ixp=ixm+1 |
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| 214 | jyp=jym+1 |
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| 215 | ddx=xtra1(numpart+jj)-real(ixm) |
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| 216 | ddy=ytra1(numpart+jj)-real(jym) |
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| 217 | rddx=1.-ddx |
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| 218 | rddy=1.-ddy |
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| 219 | p1=rddx*rddy |
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| 220 | p2=ddx*rddy |
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| 221 | p3=rddx*ddy |
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| 222 | p4=ddx*ddy |
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| 223 | do i=2,nz |
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| 224 | if (height(i).gt.ztra1(numpart+jj)) then |
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| 225 | indzm=i-1 |
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| 226 | indzp=i |
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| 227 | goto 6 |
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| 228 | endif |
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| 229 | end do |
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| 230 | 6 continue |
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| 231 | dz1=ztra1(numpart+jj)-height(indzm) |
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| 232 | dz2=height(indzp)-ztra1(numpart+jj) |
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| 233 | dz=1./(dz1+dz2) |
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| 234 | do in=1,2 |
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| 235 | indzh=indzm+in-1 |
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| 236 | y1(in)=p1*pv(ixm,jym,indzh,1) & |
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| 237 | +p2*pv(ixp,jym,indzh,1) & |
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| 238 | +p3*pv(ixm,jyp,indzh,1) & |
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| 239 | +p4*pv(ixp,jyp,indzh,1) |
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| 240 | end do |
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| 241 | pvpart=(dz2*y1(1)+dz1*y1(2))*dz |
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| 242 | if (ylat.lt.0.) pvpart=-1.*pvpart |
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| 243 | |
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| 244 | |
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| 245 | ! For domain-filling option 2 (stratospheric O3), do the rest only in the stratosphere |
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| 246 | !***************************************************************************** |
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| 247 | |
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| 248 | if (((ztra1(numpart+jj).gt.3000.).and. & |
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| 249 | (pvpart.gt.pvcrit)).or.(mdomainfill.eq.1)) then |
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| 250 | |
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| 251 | ! Assign certain properties to the particle |
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| 252 | !****************************************** |
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| 253 | nclass(numpart+jj)=min(int(ran1(idummy)* & |
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| 254 | real(nclassunc))+1,nclassunc) |
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| 255 | numparticlecount=numparticlecount+1 |
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| 256 | npoint(numpart+jj)=numparticlecount |
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| 257 | idt(numpart+jj)=mintime |
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| 258 | itra1(numpart+jj)=0 |
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| 259 | itramem(numpart+jj)=0 |
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| 260 | itrasplit(numpart+jj)=itra1(numpart+jj)+ldirect* & |
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| 261 | itsplit |
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| 262 | xmass1(numpart+jj,1)=colmass(ix,jy)/real(ncolumn) |
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| 263 | if (mdomainfill.eq.2) xmass1(numpart+jj,1)= & |
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| 264 | xmass1(numpart+jj,1)*pvpart*48./29.*ozonescale/10.**9 |
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| 265 | else |
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| 266 | jj=jj-1 |
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| 267 | endif |
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| 268 | endif |
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| 269 | endif |
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| 270 | end do |
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| 271 | end do |
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| 272 | numparttot=numparttot+ncolumn |
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| 273 | if (ipin.eq.0) numpart=numpart+jj |
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| 274 | 30 continue |
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| 275 | end do |
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| 276 | end do |
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| 277 | |
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| 278 | |
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| 279 | ! Check whether numpart is really smaller than maxpart |
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| 280 | !***************************************************** |
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| 281 | |
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| 282 | ! ESO :TODO: this warning need to be moved further up, else out-of-bounds error earlier |
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| 283 | if (numpart.gt.maxpart) then |
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| 284 | write(*,*) 'numpart too large: change source in init_atm_mass.f' |
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| 285 | write(*,*) 'numpart: ',numpart,' maxpart: ',maxpart |
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| 286 | endif |
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| 287 | |
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| 288 | |
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| 289 | xmassperparticle=colmasstotal/real(numparttot) |
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| 290 | |
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| 291 | |
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| 292 | ! Make sure that all particles are within domain |
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| 293 | !*********************************************** |
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| 294 | |
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| 295 | do j=1,numpart |
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| 296 | if ((xtra1(j).lt.0.).or.(xtra1(j).ge.real(nxmin1)).or. & |
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| 297 | (ytra1(j).lt.0.).or.(ytra1(j).ge.real(nymin1))) then |
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| 298 | itra1(j)=-999999999 |
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| 299 | endif |
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| 300 | end do |
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| 301 | |
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| 302 | |
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| 303 | |
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| 304 | |
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| 305 | ! For boundary conditions, we need fewer particle release heights per column, |
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| 306 | ! because otherwise it takes too long until enough mass has accumulated to |
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| 307 | ! release a particle at the boundary (would take dx/u seconds), leading to |
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| 308 | ! relatively large position errors of the order of one grid distance. |
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| 309 | ! It's better to release fewer particles per column, but to do so more often. |
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| 310 | ! Thus, use on the order of nz starting heights per column. |
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| 311 | ! We thus repeat the above to determine fewer starting heights, that are |
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| 312 | ! used furtheron in subroutine boundcond_domainfill.f. |
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| 313 | !**************************************************************************** |
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| 314 | |
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| 315 | fractus=real(numcolumn)/real(nz) |
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| 316 | write(*,*) 'Total number of particles at model start: ',numpart |
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| 317 | write(*,*) 'Maximum number of particles per column: ',numcolumn |
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| 318 | write(*,*) 'If ',fractus,' <1, better use more particles' |
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| 319 | fractus=sqrt(max(fractus,1.))/2. |
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| 320 | |
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| 321 | do jy=ny_sn(1),ny_sn(2) ! loop about latitudes |
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| 322 | do ix=nx_we(1),nx_we(2) ! loop about longitudes |
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| 323 | ncolumn=nint(0.999/fractus*real(npart(1))*colmass(ix,jy) & |
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| 324 | /colmasstotal) |
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| 325 | if (ncolumn.gt.maxcolumn) stop 'maxcolumn too small' |
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| 326 | if (ncolumn.eq.0) goto 80 |
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| 327 | |
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| 328 | |
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| 329 | ! Memorize how many particles per column shall be used for all boundaries |
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| 330 | ! This is further used in subroutine boundcond_domainfill.f |
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| 331 | ! Use 2 fields for west/east and south/north boundary |
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| 332 | !************************************************************************ |
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| 333 | |
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| 334 | if (ix.eq.nx_we(1)) numcolumn_we(1,jy)=ncolumn |
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| 335 | if (ix.eq.nx_we(2)) numcolumn_we(2,jy)=ncolumn |
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| 336 | if (jy.eq.ny_sn(1)) numcolumn_sn(1,ix)=ncolumn |
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| 337 | if (jy.eq.ny_sn(2)) numcolumn_sn(2,ix)=ncolumn |
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| 338 | |
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| 339 | ! Calculate pressure at the altitudes of model surfaces, using the air density |
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| 340 | ! information, which is stored as a 3-d field |
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| 341 | !***************************************************************************** |
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| 342 | |
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| 343 | do kz=1,nz |
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| 344 | pp(kz)=rho(ix,jy,kz,1)*r_air*tt(ix,jy,kz,1) |
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| 345 | end do |
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| 346 | |
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| 347 | ! Determine the reference starting altitudes |
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| 348 | !******************************************* |
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| 349 | |
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| 350 | deltacol=(pp(1)-pp(nz))/real(ncolumn) |
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| 351 | pnew=pp(1)+deltacol/2. |
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| 352 | do j=1,ncolumn |
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| 353 | pnew=pnew-deltacol |
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| 354 | do kz=1,nz-1 |
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| 355 | if ((pp(kz).ge.pnew).and.(pp(kz+1).lt.pnew)) then |
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| 356 | dz1=pp(kz)-pnew |
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| 357 | dz2=pnew-pp(kz+1) |
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| 358 | dz=1./(dz1+dz2) |
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| 359 | zposition=(height(kz)*dz2+height(kz+1)*dz1)*dz |
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| 360 | if (zposition.gt.height(nz)-0.5) zposition=height(nz)-0.5 |
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| 361 | |
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| 362 | ! Memorize vertical positions where particles are introduced |
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| 363 | ! This is further used in subroutine boundcond_domainfill.f |
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| 364 | !*********************************************************** |
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| 365 | |
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| 366 | if (ix.eq.nx_we(1)) zcolumn_we(1,jy,j)=zposition |
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| 367 | if (ix.eq.nx_we(2)) zcolumn_we(2,jy,j)=zposition |
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| 368 | if (jy.eq.ny_sn(1)) zcolumn_sn(1,ix,j)=zposition |
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| 369 | if (jy.eq.ny_sn(2)) zcolumn_sn(2,ix,j)=zposition |
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| 370 | |
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| 371 | ! Initialize mass that has accumulated at boundary to zero |
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| 372 | !********************************************************* |
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| 373 | |
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| 374 | acc_mass_we(1,jy,j)=0. |
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| 375 | acc_mass_we(2,jy,j)=0. |
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| 376 | acc_mass_sn(1,jy,j)=0. |
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| 377 | acc_mass_sn(2,jy,j)=0. |
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| 378 | endif |
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| 379 | end do |
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| 380 | end do |
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| 381 | 80 continue |
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| 382 | end do |
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| 383 | end do |
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| 384 | |
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| 385 | ! Reduce numpart if invalid particles at end of arrays |
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| 386 | do i=numpart, 1, -1 |
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| 387 | if (itra1(i).eq.-999999999) then |
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| 388 | numpart=numpart-1 |
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| 389 | else |
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| 390 | exit |
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| 391 | end if |
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| 392 | end do |
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| 393 | |
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| 394 | ! If particles shall be read in to continue an existing run, |
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| 395 | ! then the accumulated masses at the domain boundaries must be read in, too. |
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| 396 | ! This overrides any previous calculations. |
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| 397 | !*************************************************************************** |
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| 398 | |
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| 399 | if ((ipin.eq.1).and.(.not.gdomainfill)) then |
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| 400 | open(unitboundcond,file=path(2)(1:length(2))//'boundcond.bin', & |
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| 401 | form='unformatted') |
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| 402 | read(unitboundcond) numcolumn_we,numcolumn_sn, & |
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| 403 | zcolumn_we,zcolumn_sn,acc_mass_we,acc_mass_sn |
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| 404 | close(unitboundcond) |
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| 405 | endif |
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| 406 | |
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| 407 | |
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| 408 | end subroutine init_domainfill |
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