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|
! ce programme tend a calculer les isothermes et les temp à differentes valeurs de i
! declaration de variables
parameter (n=1000,m=40)
real f(0:8,0:n,0:m)
real feq(0:8,0:n,0:m),rho(0:n,0:m)
real w(0:8), cx(0:8),cy(0:8)
real u(0:n,0:m), v(0:n,0:m)
real g(0:8,0:n,0:m), geq(0:8,0:n,0:m),th(0:n,0:m)
integer i,j,k,kk
character Saida*2910
! opening files
Saida='results/vit50.dat'
open(12,file=Saida)
Saida='results/vit20.dat'
open(13,file=Saida)
Saida='results/temp50.dat'
open(14,file=Saida)
Saida='results/ligcour.dat'
open(15,file=Saida)
Saida='results/temp20.dat'
open(16,file=Saida)
!initialisations de variables
cx(:)=(/0.0,1.0,0.0,-1.0,0.0,1.0,-1.0,-1.0,1.0/)
cy(:)=(/0.0,0.0,1.0,0.0,-1.0,1.0,1.0,-1.0,-1.0/)
w(:)=(/4./9.,1./9.,1./9.,1./9.,1./9.,1./36.,1./36.,1./36.,1./36./)
uo=0.2
!sumvelo=0.0
rhoo=5.00
dx=1.0
dy=dx
dt=1.0
tw=1.0
th=0.0
g=0.0
visco=0.02
pr=0.71
alpha=visco/pr
Re=uo*m/alpha
print *, 'Re=', Re
omega=1.0/(3.*visco+0.5)
omegat=1.0/(3.*alpha+0.5)
mstep=20
do j=0,m
do i=0,n
rho(i,j)=rhoo !! l'initialisation de rho se fait par la valeur rhoo egal 5 au lieu de 0??????
u(i,j)=0.0
v(i,j)=0.0
end do
end do
do i=1,n-1
u(i,m)=uo
v(i,m)=0.0
end do
! main loop
!/////////////////programme principale//////////////////////////
do kk=1,mstep
call collesion(u,v,f,feq,rho,omega,w,cx,cy,n,m)
call streaming(f,n,m)
call sfbound(f,n,m,uo)
call rhouv(f,rho,u,v,cx,cy,n,m)
! collestion for scalar
call collt(u,v,g,geq,th,omegat,w,cx,cy,n,m)
! streaming for scalar
call streaming(g,n,m)!!!!!!!!!!!! n'existe pas
call gbound(g,geq,tw,w,n,m)
call tcalcu(g,th,n,m)
END DO
! end of the main loop
call result(u,v,rho,th,uo,n,m)
stop
end
! end of the main program
!/////////////////////les subroutines////////////////////////////
!////////////collision////////////////
subroutine collesion(u,v,f,feq,rho,omega,w,cx,cy,n,m)
real f(0:8,0:n,0:m)
real feq(0:8,0:n,0:m),rho(0:n,0:m)
real w(0:8), cx(0:8),cy(0:8)
real u(0:n,0:m), v(0:n,0:m)
DO i=0,n
DO j=0,m
t1=(u(i,j)*u(i,j))+(v(i,j)*v(i,j))
DO k=0,8
t2=(u(i,j)*cx(k))+(v(i,j)*cy(k))
feq(k,i,j)=rho(i,j)*w(k)*(1.0+3.0*t2+4.50*t2*t2-1.50*t1)
f(k,i,j)=omega*feq(k,i,j)+(1.-omega)*f(k,i,j)
END DO
END DO
END DO
return
end
!///////////////////collt////////////////
subroutine collt(u,v,g,geq,th,omegat,w,cx,cy,n,m)
real g(0:8,0:n,0:m),geq(0:8,0:n,0:m),th(0:n,0:m)
real w(0:8),cx(0:8),cy(0:8)
real u(0:n,0:m),v(0:n,0:m)
do i=0,n
do j=0,m
do k=0,8
geq(k,i,j)=th(i,j)*w(k)*(1.0+3.0*(u(i,j)*cx(k)+v(i,j)*cy(k)))
g(k,i,j)=omegat*geq(k,i,j)+(1.0-omegat)*g(k,i,j)
!print*, g(k,i,j)
end do
end do
end do
return
end
!///////////////////propagation///////////////
subroutine streaming(f,n,m)
real f(0:8,0:n,0:m)
do j=0,m
do i=n,1,-1
f(1,i,j)=f(1,i-1,j)
end do
do i=0,n-1
f(3,i,j)=f(3,i+1,j)
end do
end do
do j=m,1,-1
do i=0,n
f(2,i,j)=f(2,i,j-1)
end do
do i=n,1,-1
f(5,i,j)=f(5,i-1,j-1)
end do
do i=0,n-1
f(6,i,j)=f(6,i+1,j-1)
end do
end do
do j=0,m-1
do i=0,n
f(4,i,j)=f(4,i,j+1)
end do
do i=0,n-1
f(7,i,j)=f(7,i+1,j+1)
end do
do i=n,1,-1
f(8,i,j)=f(8,i-1,j+1)
end do
end do
return
end
!//////////////conditions aux limites////////////////
subroutine sfbound(f,n,m,uo)
real f(0:8,0:n,0:m)
do j=0,m
!bounce back on west boundary!
rhow=(f(0,0,j)+f(2,0,j)+f(4,0,j)
& +2.*(f(3,0,j)+f(6,0,j)+f(7,0,j)))/(1.-uo)
f(1,0,j)=f(3,0,j)+ 2.*rhow*uo/3.
f(5,0,j)=f(7,0,j)+rhow*uo/6.
f(8,0,j)=f(6,0,j)+rhow*uo/6.
end do
!bounce back on south boundary!
do i=0,n
f(2,i,0)=f(4,i,0)
f(5,i,0)=f(7,i,0)
f(6,i,0)=f(8,i,0)
end do
!bounce back, north boundary
do i=0,n
f(4,i,m)=f(2,i,m)
f(8,i,m)=f(6,i,m)
f(7,i,m)=f(5,i,m)
end do
! accont for open boundary condition at the outlet
do j=0,m
f(1,n,j)=2.*f(1,n-1,j)-f(1,n-2,j)
f(5,n,j)=2.*f(5,n-1,j)-f(5,n-2,j)
f(8,n,j)=2.*f(8,n-1,j)-f(8,n-2,j)
end do
return
end
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
subroutine rhouv(f,rho,u,v,cx,cy,n,m)
real f(0:8,0:n,0:m),rho(0:n,0:m)
real u(0:n,0:m),v(0:n,0:m)
real cx(0:8),cy(0:8)
do j=0,m
do i=0,n
ssum=0.0
do k=0,8
ssum=ssum+f(k,i,j)
end do
rho(i,j)=ssum
end do
end do
do i=1,n
rho(i,m)=f(0,i,m)+f(1,i,m)+f(3,i,m)+
& 2.*(f(2,i,m)+f(6,i,m)+f(5,i,m))
end do
do i=1,n
do j=1,m
usum=0.0
vsum=0.0
do k=0,8
usum=usum+f(k,i,j)*cx(k)
vsum=vsum+f(k,i,j)*cy(k)
end do
u(i,j)=usum/rho(i,j)
v(i,j)=vsum/rho(i,j)
end do
end do
do j=1,m
v(n,j)=0.0
end do
do i=1,n
u(i,m)=0.0
u(i,0)=0.0
end do
return
end
!/////////// cond aux limites sur g/////////////
subroutine gbound(g,geq,tw,w,n,m)
real g(0:8,0:n,0:m),geq(0:8,0:n,0:m)
real w(0:8)
! Boundary conditions
! West boundary condition, T=1.
do j=0,m
g(1,0,j)=tw*(w(1)+w(3))-g(3,0,j)
g(5,0,j)=tw*(w(5)+w(7))-g(7,0,j)
g(8,0,j)=tw*(w(8)+w(6))-g(6,0,j)
g(2,0,j)-geq(2,0,j)=g(4,0,j)-geq(4,0,j)
end do
! East boundary condition, T=0.
do j=0,m
g(1,n,j)=2*g(1,n-1,j)-g(1,n-2,j)
g(5,n,j)=2*g(5,n-1,j)-g(5,n-2,j)
g(8,n,j)=2*g(8,n-1,j)-g(8,n-2,j)
end do
! Top boundary conditions,
do i=0,n
g(8,i,m)=-g(6,i,m)
g(7,i,m)=-g(5,i,m)
g(4,i,m)=-g(2,i,m)
g(1,i,m)=-g(3,i,m)
g(2,i,m)-geq(2,i,m)=g(4,i,m)-geq(4,i,m)
end do
!Bottom boundary conditions,
do i=0,n
g(2,i,0)=-g(2,i,1)
g(1,i,0)=-g(3,i,1)
g(5,i,0)=-g(5,i,1)
g(6,i,0)=-g(6,i,1)
end do
return
end
!/////////calcul de la temperature///////////
subroutine tcalcu(g,th,n,m)
real g(0:8,0:n,0:m),th(0:n,0:m)
do j=1,m-1
do i=1,n-1
ssumt=0.0
do k=0,8
ssumt=ssumt+g(k,i,j)
end do
th(i,j)=ssumt
end do
end do
return
end
!////////////////calcul de lignes de courant et de resultat/////////////////
subroutine result(u,v,rho,th,uo,n,m)
real u(0:n,0:m),v(0:n,0:m),th(0:n,0:m)
real rho(0:n,0:m),strf(0:n,0:m)
! streamfunction calculations
strf(0,0)=0.
do i=0,n
rhoav=0.5*(rho(i-1,0)+rho(i,0))
if(i.ne.0) strf(i,0)=strf(i-1,0)-rhoav*0.5*(v(i-1,0)+v(i,0))
do j=1,m
rhom=0.5*(rho(i,j)+rho(i,j-1))
strf(i,j)=strf(i,j-1)+rhom*0.5*(u(i,j-1)+u(i,j))
end do
end do
! enregistrement de resultat
!
do j=0,m
write(12,*)j/float(m),u(int(n/2),j)/uo
print*, u(int(n/2),j)/uo
end do
do j=0,m
write(13,*)j/float(m),u(int(n/5),j)/uo
end do
do j=0,m
write(14,*)j/float(m),th(int(n/2),j)
print*,th(int(n/2),j)
end do
do j=0,m
do i=0,n
write(15,*)i,j,strf(i,j)
end do
end do
do j=0,m
write(16,*)j/float(m),th(n/5,j)
end do
return
end |
