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Main.f90
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Main.f90
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!
! ConsoleApp.f90
!
! Fortran Console Application
! Generated by PGI Visual Fortran(R)
! 18.02.2013 21:32:32
program Main
use variables
use constants
call InitiliseVariables
call InitFields
call initObstacle
call InitPressureA
call UVSolver
call DestroyVariables
end program Main
!-------------------------------------!
! Run solver for velocity !
! !
!-------------------------------------!
subroutine UVSolver
use variables
use constants
use omp_lib
real (kind=TypeFloat), dimension(0:Mx) :: A
real (kind=TypeFloat), dimension(0:Mx) :: B
real (kind=TypeFloat), dimension(0:Mx) :: C
real (kind=TypeFloat), dimension(0:Mx) :: F
real (kind=TypeFloat), dimension(0:Mx+1) :: X
integer :: printtime
real time1,time2,time3,time4
do iter=1,MaxTime
time1=omp_get_wtime()
!*************** U po x
do k=1,MaxO
!$omp parallel default(shared), private(i,j,A,B,C,F)
!$omp do schedule(dynamic)
do j=1,MaxN
do i=1,MaxM
if (Obstacle(i,j,k).eq.1) then
A(i)=0.0
B(i)=1.0
C(i)=0.0
F(i)=0.0
else
A(i) = -0.5*(-u(i,j,k)*addx(i,j,k) + ad2dx2(i,j,k)/Re + adtau1dx(i,j,k))
B(i) = -0.5*(-u(i,j,k)*bddx(i,j,k) + bd2dx2(i,j,k)/Re + bdtau1dx(i,j,k)) + 1.0/dt
C(i) = -0.5*(-u(i,j,k)*cddx(i,j,k) + cd2dx2(i,j,k)/Re + cdtau1dx(i,j,k))
F(i) = 0.5*(-u(i,j,k)*dudx(i,j,k,0) + d2udx2(i,j,k,0)/Re) +&
(-v(i,j,k)*dudy(i,j,k,0) + d2udy2(i,j,k,0)/Re) +&
(-w(i,j,k)*dudz(i,j,k,0) + d2udz2(i,j,k,0)/Re) +u(i,j,k)/dt
endif
enddo
A(0)=aUx1(j,k)
B(0)=bUx1(j,k)
C(0)=aUx2(j,k)
F(0)=bUx2(j,k)
call sweepB(A,B,C,F,X,ByX)
forall (i=0:MaxM+1) Uo13(i,j,k)=X(i)
enddo
!$omp end do nowait
!$omp end parallel
enddo
! call WriteFile(VarU13,Iter)
!*************** U po y
do k=1,MaxO
!$omp parallel default(shared), private(i,j,A,B,C,F)
!$omp do schedule(dynamic)
do i=1,MaxM
do j=1,MaxN
if (Obstacle(i,j,k).eq.1) then
A(j)=0.0
B(j)=1.0
C(j)=0.0
F(j)=0.0
else
A(j) = -0.5*(-v(i,j,k)*addy(i,j,k) + ad2dy2(i,j,k)/Re + adtau1dy(i,j,k))
B(j) = -0.5*(-v(i,j,k)*bddy(i,j,k) + bd2dy2(i,j,k)/Re + bdtau1dy(i,j,k)) + 1.0/dt
C(j) = -0.5*(-v(i,j,k)*cddy(i,j,k) + cd2dy2(i,j,k)/Re + cdtau1dy(i,j,k))
F(j) = -0.5*(-v(i,j,k)*dudy(i,j,k,0) + d2udy2(i,j,k,0)/Re) + Uo13(i,j,k)/dt &
+vt(12,jplus12,i,j,k)*(v(i+1,j+1,k)-v(i+1,j,k))/(dx*dy)&
-vt(12,jminus12,i,j,k)*(v(i,j+1,k)-v(i,j,k))/(dx*dy)
endif
enddo
A(0)=aUy1(i,k)
B(0)=bUy1(i,k)
C(0)=aUy2(i,k)
F(0)=bUy2(i,k)
call sweepB(A,B,C,F,X,ByY)
forall (j=0:MaxN+1) Uo23(i,j,k)=X(j)
enddo
!$omp end do nowait
!$omp end parallel
enddo
! call WriteFile(VarU23,Iter)
!*************** U po z
do i=1,MaxM
!$omp parallel default(shared), private(j,k,A,B,C,F)
!$omp do schedule(dynamic)
do j=1,MaxN
do k=1,MaxO
if (Obstacle(i,j,k).eq.1) then
A(k)=0.0
B(k)=1.0
C(k)=0.0
F(k)=0.0
else
A(k) = -0.5*(-w(i,j,k)*addz(i,j,k) + ad2dz2(i,j,k)/Re + adtau1dz(i,j,k))
B(k) = -0.5*(-w(i,j,k)*bddz(i,j,k) + bd2dz2(i,j,k)/Re + bdtau1dz(i,j,k)) + 1.0/dt
C(k) = -0.5*(-w(i,j,k)*cddz(i,j,k) + cd2dz2(i,j,k)/Re + cdtau1dz(i,j,k))
F(k) = -0.5*(-w(i,j,k)*dudz(i,j,k,0) + d2udz2(i,j,k,0)/Re) + Uo23(i,j,k)/dt &
+vt(13,kplus12,i,j,k)*(w(i+1,j,k+1)-w(i,j,k+1))/(dx*dz)&
-vt(13,kminus12,i,j,k)*(w(i+1,j,k)-w(i,j,k))/(dx*dz)
endif
enddo
A(0)=aUz1(i,j)
B(0)=bUz1(i,j)
C(0)=aUz2(i,j)
F(0)=bUz2(i,j)
call sweepB(A,B,C,F,X,ByZ)
forall (k=0:MaxO+1) Uon(i,j,k)=X(k)
enddo
!$omp end do nowait
!$omp end parallel
enddo
time2=omp_get_wtime()
!*************** V po x
do k=1,MaxO
!$omp parallel default(shared), private(i,j,A,B,C,F)
!$omp do schedule(dynamic)
do j=1,MaxN
do i=1,MaxM
if (Obstacle(i,j,k).eq.1) then
A(i)=0.0
B(i)=1.0
C(i)=0.0
F(i)=0.0
else
A(i) = -0.5*(-u(i,j,k)*addx(i,j,k) + ad2dx2(i,j,k)/Re + adtau2dx(i,j,k))
B(i) = -0.5*(-u(i,j,k)*bddx(i,j,k) + bd2dx2(i,j,k)/Re + bdtau2dx(i,j,k)) + 1.0/dt
C(i) = -0.5*(-u(i,j,k)*cddx(i,j,k) + cd2dx2(i,j,k)/Re + cdtau2dx(i,j,k))
F(i) = 0.5*(-u(i,j,k)*dvdx(i,j,k,0) + d2vdx2(i,j,k,0)/Re) +&
(-v(i,j,k)*dvdy(i,j,k,0) + d2vdy2(i,j,k,0)/Re) +&
(-w(i,j,k)*dvdz(i,j,k,0) + d2vdz2(i,j,k,0)/Re) +v(i,j,k)/dt&
+vt(21,iplus12,i,j,k)*(u(i+1,j+1,k)-u(i+1,j,k))/(dx*dy)&
-vt(21,iminus12,i,j,k)*(u(i,j+1,k)-u(i,j,k))/(dx*dy)
endif
enddo
A(0)=aVx1(j,k)
B(0)=bVx1(j,k)
C(0)=aVx2(j,k)
F(0)=bVx2(j,k)
call sweepB(A,B,C,F,X,ByX)
forall (i=0:MaxM+1) Vo13(i,j,k)=X(i)
enddo
!$omp end do nowait
!$omp end parallel
enddo
! call WriteFile(VarV13,Iter)
!************** V po y
do k=1,MaxO
!$omp parallel default(shared), private(i,j,A,B,C,F)
!$omp do schedule(dynamic)
do i=1,MaxM
do j=1,MaxN
if (Obstacle(i,j,k).eq.1) then
A(j)=0.0
B(j)=1.0
C(j)=0.0
F(j)=0.0
else
A(j) = -0.5*(-v(i,j,k)*addy(i,j,k) + ad2dy2(i,j,k)/Re + adtau2dy(i,j,k))
B(j) = -0.5*(-v(i,j,k)*bddy(i,j,k) + bd2dy2(i,j,k)/Re + bdtau2dy(i,j,k)) + 1.0/dt
C(j) = -0.5*(-v(i,j,k)*cddy(i,j,k) + cd2dy2(i,j,k)/Re + cdtau2dy(i,j,k))
F(j) = -0.5*(-v(i,j,k)*dvdy(i,j,k,0) + d2vdy2(i,j,k,0)/Re) + Vo13(i,j,k)/dt
endif
enddo
A(0)=aVy1(i,k)
B(0)=bVy1(i,k)
C(0)=aVy2(i,k)
F(0)=bVy2(i,k)
call sweepB(A,B,C,F,X,ByY)
forall (j=0:MaxN+1) Vo23(i,j,k)=X(j)
enddo
!$omp end do nowait
!$omp end parallel
enddo
! call WriteFile(VarV23,Iter)
!*************** V po z
do i=1,MaxM
!$omp parallel default(shared), private(j,k,A,B,C,F)
!$omp do schedule(dynamic)
do j=1,MaxN
do k=1,MaxO
if (Obstacle(i,j,k).eq.1) then
A(k)=0.0
B(k)=1.0
C(k)=0.0
F(k)=0.0
else
A(k) = -0.5*(-w(i,j,k)*addz(i,j,k) + ad2dz2(i,j,k)/Re + adtau2dz(i,j,k))
B(k) = -0.5*(-w(i,j,k)*bddz(i,j,k) + bd2dz2(i,j,k)/Re + bdtau2dz(i,j,k)) + 1.0/dt
C(k) = -0.5*(-w(i,j,k)*cddz(i,j,k) + cd2dz2(i,j,k)/Re + cdtau2dz(i,j,k))
F(k) = -0.5*(-w(i,j,k)*dvdz(i,j,k,0) + d2vdz2(i,j,k,0)/Re) + Vo23(i,j,k)/dt&
+vt(23,kplus12,i,j,k)*(w(i,j+1,k+1)-w(i,j,k+1))/(dy*dz)&
-vt(23,kminus12,i,j,k)*(w(i,j+1,k)-w(i,j,k))/(dy*dz)
endif
enddo
A(0)=aVz1(i,j)
B(0)=bVz1(i,j)
C(0)=aVz2(i,j)
F(0)=bVz2(i,j)
call sweepB(A,B,C,F,X,ByZ)
forall (k=0:MaxO+1) Von(i,j,k)=X(k)
enddo
!$omp end do nowait
!$omp end parallel
enddo
!*************** W po x
do k=1,MaxO
!$omp parallel default(shared), private(i,j,A,B,C,F)
!$omp do schedule(dynamic)
do j=1,MaxN
do i=1,MaxM
if (Obstacle(i,j,k).eq.1) then
A(i)=0.0
B(i)=1.0
C(i)=0.0
F(i)=0.0
else
A(i) = -0.5*(-u(i,j,k)*addx(i,j,k) + ad2dx2(i,j,k)/Re + adtau3dx(i,j,k))
B(i) = -0.5*(-u(i,j,k)*bddx(i,j,k) + bd2dx2(i,j,k)/Re + bdtau3dx(i,j,k)) + 1.0/dt
C(i) = -0.5*(-u(i,j,k)*cddx(i,j,k) + cd2dx2(i,j,k)/Re + cdtau3dx(i,j,k))
F(i) = 0.5*(-u(i,j,k)*dwdx(i,j,k,0) + d2wdx2(i,j,k,0)/Re) +&
(-v(i,j,k)*dwdy(i,j,k,0) + d2wdy2(i,j,k,0)/Re) +&
(-w(i,j,k)*dwdz(i,j,k,0) + d2wdz2(i,j,k,0)/Re) +w(i,j,k)/dt&
+vt(31,iplus12,i,j,k)*(u(i+1,j,k+1)-u(i,j,k+1))/(dx*dz)&
-vt(31,iminus12,i,j,k)*(u(i+1,j,k)-u(i,j,k))/(dx*dz)
endif
enddo
A(0)=aWx1(j,k)
B(0)=bWx1(j,k)
C(0)=aWx2(j,k)
F(0)=bWx2(j,k)
call sweepB(A,B,C,F,X,ByX)
forall (i=0:MaxM+1) Wo13(i,j,k)=X(i)
enddo
!$omp end do nowait
!$omp end parallel
enddo
! call WriteFile(VarW13,Iter)
!************** w po y
do k=1,MaxO
!$omp parallel default(shared), private(i,j,A,B,C,F)
!$omp do schedule(dynamic)
do i=1,MaxM
do j=1,MaxN
if (Obstacle(i,j,k).eq.1) then
A(j)=0.0
B(j)=1.0
C(j)=0.0
F(j)=0.0
else
A(j) = -0.5*(-v(i,j,k)*addy(i,j,k) + ad2dy2(i,j,k)/Re + adtau3dy(i,j,k))
B(j) = -0.5*(-v(i,j,k)*bddy(i,j,k) + bd2dy2(i,j,k)/Re + bdtau3dy(i,j,k)) + 1.0/dt
C(j) = -0.5*(-v(i,j,k)*cddy(i,j,k) + cd2dy2(i,j,k)/Re + cdtau3dy(i,j,k))
F(j) = -0.5*(-v(i,j,k)*dwdy(i,j,k,0) + d2wdy2(i,j,k,0)/Re) + Wo13(i,j,k)/dt&
+vt(32,jplus12,i,j,k)*(v(i,j+1,k+1)-v(i,j+1,k))/(dy*dz)&
-vt(32,jminus12,i,j,k)*(v(i,j,k+1)-v(i,j,k))/(dy*dz)
endif
enddo
A(0)=aWy1(i,k)
B(0)=bWy1(i,k)
C(0)=aWy2(i,k)
F(0)=bWy2(i,k)
call sweepB(A,B,C,F,X,ByY)
forall (j=0:MaxN+1) Wo23(i,j,k)=X(j)
enddo
!$omp end do nowait
!$omp end parallel
enddo
! call WriteFile(VarW23,Iter)
!*************** W po z
do i=1,MaxM
!$omp parallel default(shared), private(j,k,A,B,C,F)
!$omp do schedule(dynamic)
do j=1,MaxN
do k=1,MaxO
if (Obstacle(i,j,k).eq.1) then
A(k)=0.0
B(k)=1.0
C(k)=0.0
F(k)=0.0
else
A(k) = -0.5*(-w(i,j,k)*addz(i,j,k) + ad2dz2(i,j,k)/Re + adtau3dz)
B(k) = -0.5*(-w(i,j,k)*bddz(i,j,k) + bd2dz2(i,j,k)/Re + bdtau3dz) + 1.0/dt
C(k) = -0.5*(-w(i,j,k)*cddz(i,j,k) + cd2dz2(i,j,k)/Re + cdtau3dz)
F(k) = -0.5*(-w(i,j,k)*dwdz(i,j,k,0) + d2wdz2(i,j,k,0)/Re) + Wo23(i,j,k)/dt
endif
enddo
A(0)=aWz1(i,j)
B(0)=bWz1(i,j)
C(0)=aWz2(i,j)
F(0)=bWz2(i,j)
call sweepB(A,B,C,F,X,ByZ)
forall (k=0:MaxO+1) Won(i,j,k)=X(k)
enddo
!$omp end do nowait
!$omp end parallel
enddo
! call WriteFile(VarV1,Iter)
! forall (i=1:MaxN, j=1:MaxN) v(i,j)=Vo23(i,j)
! forall (i=1:MaxN, j=1:MaxN) u(i,j)=Uo23(i,j)
time3=omp_get_wtime()
call Poisson_3D
time4=omp_get_wtime()
do k=1,MaxO
do j=1,MaxN
do i=1,MaxM-1
if (Obstacle(i,j,k).eq.1) then
u(i,j,k)=0.0
else
u(i,j,k)=Uon(i,j,k)-dt*(p(i+1,j,k)-p(i,j,k))/dx
endif
enddo
enddo
do i=1,MaxM
do j=1,MaxN-1
if (Obstacle(i,j,k).eq.1) then
v(i,j,k)=0.0
else
v(i,j,k)=Von(i,j,k)-dt*(p(i,j+1,k)-p(i,j,k))/dy
endif
enddo
enddo
enddo
do i=1,MaxM
do j=1,MaxN
do k=1,MaxO-1
if (Obstacle(i,j,k).eq.1) then
w(i,j,k)=0.0
else
w(i,j,k)=Won(i,j,k)-dt*(p(i,j,k+1)-p(i,j,k))/dz
endif
enddo
enddo
enddo
! call WriteFile(VarU,Iter)
! call WriteFile(VarV,Iter)
write(*,*) 'Iteration -',Iter
write(*,*) 'Solve UVW -',time3-time1
write(*,*) 'Solve Poisson -',time4-time3
write(*,*) '____________________________'
if (Mod(Iter,PrintEvery).eq.0) then
write(*,*) '_______________________________________________________________________________'
WRITE(*,*) 'Writeing Time: ', Iter
write(*,*) '_______________________________________________________________________________'
printtime=Iter/PrintEvery
call TecplotWrite(printtime,ByXoY,50)
! call WriteVtkBinUVW(printtime)
call WriteVtkTxtUVW(printtime)
endif
enddo
end subroutine UVSolver
!-------------------------------------!
! Thomas method !
!-------------------------------------!
subroutine sweepF(A,B,C,F,X,SweepDir)
use variables
use constants
real (kind=TypeFloat) :: A(0:Mx),B(0:Mx),C(0:Mx),F(0:Mx)
real (kind=TypeFloat) :: X(1:Mx)
real (kind=TypeFloat) :: alfa(Mx+1),beta(Mx+1)
real (kind=TypeFloat) :: temp
integer :: SweepDir
integer :: Lx
if (SweepDir.eq.ByX) then
Lx=MaxM
elseif(SweepDir.eq.ByY) then
Lx=MaxN
elseif(SweepDir.eq.ByZ) then
Lx=MaxO
endif
alfa(Lx+1)=C(0)
beta(Lx+1)=F(0)
do I=Lx,1,-1
temp =(B(I)+A(I)*alfa(I+1))
alfa(I)=-C(I)/temp
beta(I)=(F(I)-A(I)*beta(I+1))/temp
enddo
X(1)=(alfa(1)*B(0)+beta(1))/(1.0-alfa(1)*A( 0))
do I=1,Lx-1
X(I+1)=alfa(I+1)*X(I)+beta(I+1)
enddo
end subroutine sweepF
subroutine sweepB(A,B,C,F,X,SweepDir)
use variables
use constants
double precision :: A(0:Mx),B(0:Mx),C(0:Mx),F(0:Mx)
double precision :: X(0:Mx+1)
integer :: I,M,Lx
integer :: SweepDir
double precision :: alfa(Mx+1),beta(Mx+1)
if (SweepDir.eq.ByX) then
Lx=MaxM
elseif(SweepDir.eq.ByY) then
Lx=MaxN
elseif(SweepDir.eq.ByZ) then
Lx=MaxO
endif
alfa(2)=A(0)
beta(2)=B(0)
do I=2,Lx
alfa(I+1)=-A(I)/(B(I)+C(I)*alfa(I) )
beta(I+1)=(F(I)-C(I)*beta(I))/(B(I)+C(I)*alfa(I))
enddo
X(Lx)=(alfa(Lx+1)*F(0)+beta(Lx+1))/(1.0-C(0)*alfa(Lx+1))
do I=Lx-1,1,-1
X(I)=alfa(I+1)*X(I+1)+beta(I+1)
enddo
X(Lx+1)=C(0)*X(Lx)+F(0)
X(0)=A(0)*X(1)+B(0)
end subroutine sweepB