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|
! ce programme tend a calculer les isothermes et les temp à differentes valeurs de i
! declaration de variables
parameter (n=2000,m=100)
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)
real theta(0:n,0:m),theta_in(0:m)
real t_in(0:m)
real Y(0:m)
integer i,j,k,kk
character Saida*2910
! opening files
Saida='results/chanflowartth960v2.dat'
open(12,file=Saida)
!Saida='results/chanflowartth400.dat'
!open(13,file=Saida)
!Saida='results/chanflowartth80.dat'
!open(14,file=Saida)
Saida='results/chanflowartth160.dat'
open(15,file=Saida)
!Saida='results/chanflowartstrli.dat'
!open(6,file=Saida)
Saida='results/chanflowartxvit400v2.dat'
open(17,file=Saida)
Saida='results/chanflowartxvit80.dat'
open(18,file=saida)
Saida='results/chanflowartxvit240.dat'
open(19,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=0.71
!sumvelo=0.0
rhof=5.00
dx=1.0
dy=dx
dt=1.0
tw=0.0
t_in(m/2)=0.9
th=0.7
!H=0.02
g=0.0
!visco=10.E-7
visco=0.089
pr=1.0
alpha=visco/pr
!Re=uo*m/alpha
Re=m*uo/visco
print *, 'Re=', Re
omega=1.0/(3.0*visco+0.5)
omegat=1.0/(3.0*alpha+0.5)
print *,omega
mstep=5000
do i=0,n
do j=0,m
rho(i,j)=rhof
u(i,j)=0.0
v(i,j)=0.0
end do
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 col(u,v,g,geq,th,theta,omegat,w,cx,cy,n,m)
! streaming for scalar
!call streaming(g,n,m)!!!!!!!!!!!! n'existe pas
call gbound(g,theta_in,Y,w,n,m)
call tcalcu(g,th,theta,t_in,tw,n,m)
!call result(u,v,rho,theta,Y,uo,n,m)
END DO
call result(u,v,rho,theta,Y,uo,n,m)! end of the main loop
!call result(u,v,rho,theta,Y,uo,n,m)
!do j=0,m
!print *,theta(12*n/25,j)
!print *, u(n/5,j),u(n/25,j)
!end do
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)
!print*,f(k,i,j)
END DO
END DO
END DO
return
end
!///////////////////col////////////////
subroutine col(u,v,g,geq,theta,th,omegat,w,cx,cy,n,m)
real g(0:8,0:n,0:m),geq(0:8,0:n,0:m),theta(0:n,0:m)
real th(0:n,0:m),t_in(m/2),tw
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)=theta(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)
end do
end do
end do
!print*,theta
return
end
!///////////////////propagation///////////////
subroutine streaming(f,n,m)
real f(0:8,0:n,0:m)
! streaming
DO j=0,m
DO i=n,1,-1 !RIGHT TO LEFT
f(1,i,j)=f(1,i-1,j)
END DO
DO i=0,n-1 !LEFT TO RIGHT
f(3,i,j)=f(3,i+1,j)
END DO
END DO
DO j=m,1,-1 !TOP TO BOTTOM
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 !BOTTOM TO TOP
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)+2.0*rhow*uo/3.0
f(5,0,j)=f(7,0,j)+rhow*uo/6.0
f(8,0,j)=f(6,0,j)+rhow*uo/6.0
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)=2.0*f(1,n-1,j)-f(1,n-2,j)
f(5,n,j)=2.0*f(5,n-1,j)-f(5,n-2,j)
f(8,n,j)=2.0*f(8,n-1,j)-f(8,n-2,j)
end do
return
end
!/////////// cond aux limites sur g/////////////
subroutine gbound(g,theta_in,Y,w,n,m)
real g(0:8,0:n,0:m)
real w(0:8),theta_in(0:m)
real Y(0:m)
! Boundary conditions
! top boundary condition, theta=0.
do j=0,m
g(4,0,j)=-g(2,0,j)
g(7,0,j)=-g(5,0,j)
g(8,0,j)=-g(6,0,j)
g(1,0,j)=-g(3,0,j)
end do
! east boundary condition, outlet cond ouverte.
do j=0,m
g(8,n,j)=2.0*g(8,n-1,j)-g(8,n-2,j)
g(5,n,j)=2.0*g(5,n-1,j)-g(5,n-2,j)
g(1,n,j)=2.0*g(1,n-1,j)-g(1,n-2,j)
end do
! inlet west boundary conditions, T=t_in et theta=theta_in dirichlet
do j=0,m
Y(j)=j/float(m)
theta_in(j)=4.0*(Y(j)-(Y(j)*Y(j)))
g(8,0,j)=theta_in(j)*(w(8)+w(6))-g(6,0,j)
g(5,0,j)=theta_in(j)*(w(7)+w(5))-g(7,0,j)
g(1,0,j)=theta_in(j)*(w(1)+w(3))-g(3,0,j)
!print*,theta_in(j)
end do
!Bottom boundary conditions,Theta=0
do i=0,n
g(1,i,0)=-g(3,i,0)
g(2,i,0)=-g(4,i,0)
g(5,i,0)=-g(7,i,0)
g(6,i,0)=-g(8,i,0)
end do
return
end
!/////////calcul de la temperature///////////
subroutine tcalcu(g,th,theta,t_in,tw,n,m)
real g(0:8,0:n,0:m),th(0:n,0:m),theta(0:n,0:m)
real t_in(m/2),tw
t_in(m/2)=0.9
tw=0.0
do i=0,n
do j=0,m
ssumt=0.0
do k=0,8
ssumt=ssumt+g(k,i,j)
end do
th(i,j)=ssumt
theta(i,j)=(th(i,j)-tw)/(t_in(m/2)-tw)
end do
end do
!do i=0,n
!do j=0,m
!theta(i,j)=(th(i,j)-tw)/(t_in(m/2)-tw)
!end do
!end do
return
end
!/////////////calcul de la densite et precisement la vitesse/////////////
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 i=0,n
do j=0,m
ssum=0.0
do k=0,8
ssum=ssum+f(k,i,j)
end do
rho(i,j)=ssum
!print*, ssum,rho(i,j)
end do
end do
do j=0,m
rho(0,j)=(f(0,0,j)+f(2,0,j)+f(4,0,j)
& +2.0*(f(3,0,j)+f(6,0,j)+f(7,0,j)))/(1.0-uo)
end do
do i=0,n
do j=0,m
usum=0.0
vsum=0.0
DO k=0,8
usum1=usum+f(k,i,j)*cx(k)
vsum1=vsum+f(k,i,j)*cy(k)
END DO
u(i,j)=usum1/rho(i,j)
v(i,j)=vsum1/rho(i,j)
!print*,u(i,j)
END DO
END DO
do j=1,m
v(n,j)=0.0
end do
do i=1,n
u(i,0)=0.0
u(i,m)=0.0
end do
return
end
!////////////////calcul de lignes de courant et de resultat/////////////////
subroutine result(u,v,rho,theta,Y,uo,n,m)
real u(0:n,0:m),v(0:n,0:m),theta(0:n,0:m)
real rho(0:n,0:m),strf(0:n,0:m)
real Y(0:m)
! streamfunction calculations
strf(0,0)=0.0
do i=1,n
rhoav=0.5*(rho(i-1,0)+rho(i,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
Y(j)=j/float(m)
end do
do j=0,m
write(12,*)Y(j),theta(int(12.0*n/25.0),j)
print*,Y(j),theta(int(12.0*n/25.0),j)
end do
!do j=0,m
!write(13,*)Y(j),theta(int(n/5.0),j)
!end do
!do j=0,m
!write(14,*)Y(j),theta(int(n/25.0),j)
!end do
do j=0,m
write(15,*)Y(j),theta(int(2.0*n/25.0),j)
end do
!do j=0,m
!do i=0,n
!write(16,*)i,j,strf(i,j)
!end do
!end do
do j=0,m
write(17,*)Y(j),u(int(n/5.0),j)
end do
do j=0,m
write(18,*)Y(j),u(int(n/25.0),j)
end do
do j=0,m
write(19,*)Y(j),u(int(3.0*n/25.0),j)
end do
return
end |
