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!-----------------------------------------------------
! 计算几何量：控制体体积和中心点坐标，Jocabian系数
! 2013-4-26: 可处理退化线 （面积为0的面）
! 2013-5-3: 修改粘性项Jocabian系数计算方法，与物理量导数方法一致
subroutine Comput_Goemetric_var(nMesh)
use Global_Var
implicit none
integer :: i,j,k,m,nx,ny,nz,nMesh
real(PRE_EC):: t1x,t1y,t1z,t2x,t2y,t2z,s1x,s1y,s1z,xa,ya,za,ss
real(PRE_EC):: xi,yi,zi,xj,yj,zj,xk,yk,zk,Jac,Jac1
real(PRE_EC):: xi1,xi2,yi1,yi2,zi1,zi2,xj1,xj2,yj1,yj2,zj1,zj2,xk1,xk2,yk1,yk2,zk1,zk2
real(PRE_EC),allocatable,dimension(:,:,:)::Vi,Vj,Vk
Type (Mesh_TYPE),pointer:: MP
Type (Block_TYPE),pointer:: B
! 计算控制体的体积
! 计算控制体各表面的面积 （为了避免内存占用过多，表面的法方向、切方向在计算中求出，不进行存储）
MP=>Mesh(nMesh)
do m=1,MP%Num_Block
B => MP%Block(m)
allocate(Vi(B%nx,B%ny,B%nz),Vj(B%nx,B%ny,B%nz),Vk(B%nx,B%ny,B%nz))
! Area of surface i, j and k
do k=1,B%nz
do j=1,B%ny
do i=1,B%nx
!-------------------------------------------
t1x=B%x(i,j+1,k)-B%x(i,j,k+1); t1y=B%y(i,j+1,k)-B%y(i,j,k+1); t1z=B%z(i,j+1,k)-B%z(i,j,k+1) ! 对角线1
t2x=B%x(i,j+1,k+1)-B%x(i,j,k); t2y=B%y(i,j+1,k+1)-B%y(i,j,k) ; t2z=B%z(i,j+1,k+1)-B%z(i,j,k) ! 对角线2
s1x=t1y*t2z-t1z*t2y ; s1y=t1z*t2x-t1x*t2z ; s1z=t1x*t2y-t1y*t2x ! 法向量 （对角线向量叉乘得到）
ss=sqrt(s1x*s1x+s1y*s1y+s1z*s1z) ! 长度
B%Si(i,j,k)=ss*0.5d0
if(ss .ge. Lim_Zero) then
B%ni1(i,j,k)=s1x/ss; B%ni2(i,j,k)=s1y/ss ; B%ni3(i,j,k)=s1z/ss
else
B%ni1(i,j,k)=1.d0; B%ni2(i,j,k)=0.d0 ; B%ni3(i,j,k)=0.d0 ! 退化线；任意确定法方向
endif
xa=(B%x(i,j,k)+B%x(i,j+1,k)+B%x(i,j,k+1)+B%x(i,j+1,k+1))*0.25d0
ya=(B%y(i,j,k)+B%y(i,j+1,k)+B%y(i,j,k+1)+B%y(i,j+1,k+1))*0.25d0
za=(B%z(i,j,k)+B%z(i,j+1,k)+B%z(i,j,k+1)+B%z(i,j+1,k+1))*0.25d0
Vi(i,j,k)=(s1x*xa+s1y*ya+s1z*za)*0.5d0
!----------------------------------------------------------------------------------
t1x=B%x(i+1,j,k+1)-B%x(i,j,k); t1y=B%y(i+1,j,k+1)-B%y(i,j,k) ; t1z=B%z(i+1,j,k+1)-B%z(i,j,k) ! 对角线1
t2x=B%x(i+1,j,k)-B%x(i,j,k+1); t2y=B%y(i+1,j,k)-B%y(i,j,k+1); t2z=B%z(i+1,j,k)-B%z(i,j,k+1) ! 对角线2
s1x=t1y*t2z-t1z*t2y ; s1y=t1z*t2x-t1x*t2z ; s1z=t1x*t2y-t1y*t2x ! 法向量 （对角线向量叉乘得到）
ss=sqrt(s1x*s1x+s1y*s1y+s1z*s1z)
B%Sj(i,j,k)=ss*0.5d0
if(ss .ge. Lim_Zero) then
B%nj1(i,j,k)=s1x/ss; B%nj2(i,j,k)=s1y/ss ; B%nj3(i,j,k)=s1z/ss
else
B%nj1(i,j,k)=1.d0; B%nj2(i,j,k)=0.d0 ; B%nj3(i,j,k)=0.d0
endif
xa=(B%x(i,j,k)+B%x(i+1,j,k)+B%x(i,j,k+1)+B%x(i+1,j,k+1))*0.25d0
ya=(B%y(i,j,k)+B%y(i+1,j,k)+B%y(i,j,k+1)+B%y(i+1,j,k+1))*0.25d0
za=(B%z(i,j,k)+B%z(i+1,j,k)+B%z(i,j,k+1)+B%z(i+1,j,k+1))*0.25d0
Vj(i,j,k)=(s1x*xa+s1y*ya+s1z*za)*0.5d0
!----------------------=----------------------------------------------------
t1x=B%x(i+1,j+1,k)-B%x(i,j,k); t1y=B%y(i+1,j+1,k)-B%y(i,j,k) ; t1z=B%z(i+1,j+1,k)-B%z(i,j,k) ! 对角线1
t2x=B%x(i,j+1,k)-B%x(i+1,j,k); t2y=B%y(i,j+1,k)-B%y(i+1,j,k) ; t2z=B%z(i,j+1,k)-B%z(i+1,j,k) ! 对角线2
s1x=t1y*t2z-t1z*t2y ; s1y=t1z*t2x-t1x*t2z ; s1z=t1x*t2y-t1y*t2x ! 法向量 （对角线向量叉乘得到）
ss=sqrt(s1x*s1x+s1y*s1y+s1z*s1z)
B%Sk(i,j,k)=ss*0.5d0
if(ss .ge. Lim_Zero) then
B%nk1(i,j,k)=s1x/ss; B%nk2(i,j,k)=s1y/ss; B%nk3(i,j,k)=s1z/ss
else
B%nk1(i,j,k)=1.d0; B%nk2(i,j,k)=0.d0; B%nk3(i,j,k)=0.d0
endif
xa=(B%x(i,j,k)+B%x(i+1,j,k)+B%x(i,j+1,k)+B%x(i+1,j+1,k))*0.25d0
ya=(B%y(i,j,k)+B%y(i+1,j,k)+B%y(i,j+1,k)+B%y(i+1,j+1,k))*0.25d0
za=(B%z(i,j,k)+B%z(i+1,j,k)+B%z(i,j+1,k)+B%z(i+1,j+1,k))*0.25d0
Vk(i,j,k)=(s1x*xa+s1y*ya+s1z*za)*0.5d0
!-----------------------------------------------
enddo
enddo
enddo
! 控制体 体积
do k=1,B%nz-1
do j=1,B%ny-1
do i=1,B%nx-1
B%vol(i,j,k)=(Vi(i+1,j,k)-Vi(i,j,k)+Vj(i,j+1,k)-Vj(i,j,k)+Vk(i,j,k+1)-Vk(i,j,k))/3.d0
enddo
enddo
enddo
! 网格中心点坐标
do k=0,B%nz
do j=0,B%ny
do i=0,B%nx
B%xc(i,j,k)=(B%x(i,j,k)+B%x(i,j+1,k)+B%x(i,j,k+1)+B%x(i,j+1,k+1)+ &
B%x(i+1,j,k)+B%x(i+1,j+1,k)+B%x(i+1,j,k+1)+B%x(i+1,j+1,k+1))*0.125
B%yc(i,j,k)=(B%y(i,j,k)+B%y(i,j+1,k)+B%y(i,j,k+1)+B%y(i,j+1,k+1)+ &
B%y(i+1,j,k)+B%y(i+1,j+1,k)+B%y(i+1,j,k+1)+B%y(i+1,j+1,k+1))*0.125
B%zc(i,j,k)=(B%z(i,j,k)+B%z(i,j+1,k)+B%z(i,j,k+1)+B%z(i,j+1,k+1)+ &
B%z(i+1,j,k)+B%z(i+1,j+1,k)+B%z(i+1,j,k+1)+B%z(i+1,j+1,k+1))*0.125
enddo
enddo
enddo
deallocate(Vi,Vj,Vk)
! -----------计算 Jocabian系数 （粘性项计算导数时使用）------------------------
! (I+1/2,J,K)点
! revised, 2013-5-3: Jocabian系数与 物理量导数 计算方法一致，避免额外误差；
! revised, 2013-5-4: 避免使用角点坐标（计算域立方体的棱），以免出现不稳定性
do k=1,B%nz-1
do j=1,B%ny-1
do i=1,B%nx
xi=B%xc(i,j,k)-B%xc(i-1,j,k)
yi=B%yc(i,j,k)-B%yc(i-1,j,k)
zi=B%zc(i,j,k)-B%zc(i-1,j,k)
if( (i==1 .or. i==B%nx) .and. (j==1 .or. j==B%ny-1) ) then
xj1=B%xc(i,j-1,k)
yj1=B%yc(i,j-1,k)
zj1=B%zc(i,j-1,k)
xj2=B%xc(i,j+1,k)
yj2=B%yc(i,j+1,k)
zj2=B%zc(i,j+1,k)
else
xj1=0.5d0*(B%xc(i,j-1,k)+B%xc(i-1,j-1,k))
yj1=0.5d0*(B%yc(i,j-1,k)+B%yc(i-1,j-1,k))
zj1=0.5d0*(B%zc(i,j-1,k)+B%zc(i-1,j-1,k))
xj2=0.5d0*(B%xc(i,j+1,k)+B%xc(i-1,j+1,k))
yj2=0.5d0*(B%yc(i,j+1,k)+B%yc(i-1,j+1,k))
zj2=0.5d0*(B%zc(i,j+1,k)+B%zc(i-1,j+1,k))
endif
if( (i==1 .or. i==B%nx) .and. (k==1 .or. k==B%nz-1) ) then
xk1=B%xc(i,j,k-1)
yk1=B%yc(i,j,k-1)
zk1=B%zc(i,j,k-1)
xk2=B%xc(i,j,k+1)
yk2=B%yc(i,j,k+1)
zk2=B%zc(i,j,k+1)
else
xk1=0.5d0*(B%xc(i,j,k-1)+B%xc(i-1,j,k-1))
yk1=0.5d0*(B%yc(i,j,k-1)+B%yc(i-1,j,k-1))
zk1=0.5d0*(B%zc(i,j,k-1)+B%zc(i-1,j,k-1))
xk2=0.5d0*(B%xc(i,j,k+1)+B%xc(i-1,j,k+1))
yk2=0.5d0*(B%yc(i,j,k+1)+B%yc(i-1,j,k+1))
zk2=0.5d0*(B%zc(i,j,k+1)+B%zc(i-1,j,k+1))
endif
xj=0.5d0*(xj2-xj1)
yj=0.5d0*(yj2-yj1)
zj=0.5d0*(zj2-zj1)
xk=0.5d0*(xk2-xk1)
yk=0.5d0*(yk2-yk1)
zk=0.5d0*(zk2-zk1)
Jac1=(xi*yj*zk+yi*zj*xk+zi*xj*yk-xi*zj*yk-yi*xj*zk-zi*yj*xk)
if(abs(Jac1) .lt. Lim_Zero) Jac1=Lim_Zero
Jac=1.d0/Jac1
! Jac=B%Jaci(i,j,k)
! 9个Jocabian变换系数
B%ix1(i,j,k)=Jac*(yj*zk-zj*yk)
B%iy1(i,j,k)=Jac*(zj*xk-xj*zk)
B%iz1(i,j,k)=Jac*(xj*yk-yj*xk)
B%jx1(i,j,k)=Jac*(yk*zi-zk*yi)
B%jy1(i,j,k)=Jac*(zk*xi-xk*zi)
B%jz1(i,j,k)=Jac*(xk*yi-yk*xi)
B%kx1(i,j,k)=Jac*(yi*zj-zi*yj)
B%ky1(i,j,k)=Jac*(zi*xj-xi*zj)
B%kz1(i,j,k)=Jac*(xi*yj-yi*xj)
enddo
enddo
enddo
! (I,J-1/2,K) 点的值， 即 (i+1/2,j,k+1/2)点的值
! Revised, 2013-5-3, 坐标的导数与物理量的导数 计算方法相同
do k=1,B%nz-1
do j=1,B%ny
do i=1,B%nx-1
xj=B%xc(i,j,k)-B%xc(i,j-1,k)
yj=B%yc(i,j,k)-B%yc(i,j-1,k)
zj=B%zc(i,j,k)-B%zc(i,j-1,k)
! Revised, 2013-5-4, 避免使用角点（棱）坐标
if( (j==1 .or. j==B%ny) .and. (i==1 .or. i==B%nx-1) ) then
xi1=B%xc(i-1,j,k)
yi1=B%yc(i-1,j,k)
zi1=B%zc(i-1,j,k)
xi2=B%xc(i+1,j,k)
yi2=B%yc(i+1,j,k)
zi2=B%zc(i+1,j,k)
else
xi1=0.5d0*(B%xc(i-1,j,k)+B%xc(i-1,j-1,k))
yi1=0.5d0*(B%yc(i-1,j,k)+B%yc(i-1,j-1,k))
zi1=0.5d0*(B%zc(i-1,j,k)+B%zc(i-1,j-1,k))
xi2=0.5d0*(B%xc(i+1,j,k)+B%xc(i+1,j-1,k))
yi2=0.5d0*(B%yc(i+1,j,k)+B%yc(i+1,j-1,k))
zi2=0.5d0*(B%zc(i+1,j,k)+B%zc(i+1,j-1,k))
endif
if( (j==1 .or. j==B%ny) .and. (k==1 .or. k==B%nz-1) ) then
xk1=B%xc(i,j,k-1)
yk1=B%yc(i,j,k-1)
zk1=B%zc(i,j,k-1)
xk2=B%xc(i,j,k+1)
yk2=B%yc(i,j,k+1)
zk2=B%zc(i,j,k+1)
else
xk1=0.5d0*(B%xc(i,j,k-1)+B%xc(i,j-1,k-1))
yk1=0.5d0*(B%yc(i,j,k-1)+B%yc(i,j-1,k-1))
zk1=0.5d0*(B%zc(i,j,k-1)+B%zc(i,j-1,k-1))
xk2=0.5d0*(B%xc(i,j,k+1)+B%xc(i,j-1,k+1))
yk2=0.5d0*(B%yc(i,j,k+1)+B%yc(i,j-1,k+1))
zk2=0.5d0*(B%zc(i,j,k+1)+B%zc(i,j-1,k+1))
endif
xi=0.5d0*(xi2-xi1)
yi=0.5d0*(yi2-yi1)
zi=0.5d0*(zi2-zi1)
xk=0.5d0*(xk2-xk1)
yk=0.5d0*(yk2-yk1)
zk=0.5d0*(zk2-zk1)
Jac1=xi*yj*zk+yi*zj*xk+zi*xj*yk-xi*zj*yk-yi*xj*zk-zi*yj*xk
if(abs(Jac1) .lt. Lim_Zero) Jac1=Lim_Zero
Jac=1.d0/Jac1
B%ix2(i,j,k)=Jac*(yj*zk-zj*yk)
B%iy2(i,j,k)=Jac*(zj*xk-xj*zk)
B%iz2(i,j,k)=Jac*(xj*yk-yj*xk)
B%jx2(i,j,k)=Jac*(yk*zi-zk*yi)
B%jy2(i,j,k)=Jac*(zk*xi-xk*zi)
B%jz2(i,j,k)=Jac*(xk*yi-yk*xi)
B%kx2(i,j,k)=Jac*(yi*zj-zi*yj)
B%ky2(i,j,k)=Jac*(zi*xj-xi*zj)
B%kz2(i,j,k)=Jac*(xi*yj-yi*xj)
enddo
enddo
enddo
! (I,J,K-1/2) 点的值， 即 (i+1/2,j+1/2,k)点的值
! Revised, 2013-5-3
do k=1,B%nz
do j=1,B%ny-1
do i=1,B%nx-1
xk=B%xc(i,j,k)-B%xc(i,j,k-1)
yk=B%yc(i,j,k)-B%yc(i,j,k-1)
zk=B%zc(i,j,k)-B%zc(i,j,k-1)
if( (k==1 .or. k==B%nz) .and. (i==1 .or. i==B%nx-1) ) then
xi1=B%xc(i-1,j,k)
yi1=B%yc(i-1,j,k)
zi1=B%zc(i-1,j,k)
xi2=B%xc(i+1,j,k)
yi2=B%yc(i+1,j,k)
zi2=B%zc(i+1,j,k)
else
xi1=0.5d0*(B%xc(i-1,j,k)+B%xc(i-1,j,k-1))
yi1=0.5d0*(B%yc(i-1,j,k)+B%yc(i-1,j,k-1))
zi1=0.5d0*(B%zc(i-1,j,k)+B%zc(i-1,j,k-1))
xi2=0.5d0*(B%xc(i+1,j,k)+B%xc(i+1,j,k-1))
yi2=0.5d0*(B%yc(i+1,j,k)+B%yc(i+1,j,k-1))
zi2=0.5d0*(B%zc(i+1,j,k)+B%zc(i+1,j,k-1))
endif
if( (k==1 .or. k==B%nz) .and. (j==1 .or. j==B%ny-1) ) then
xj1=B%xc(i,j-1,k)
yj1=B%yc(i,j-1,k)
zj1=B%zc(i,j-1,k)
xj2=B%xc(i,j+1,k)
yj2=B%yc(i,j+1,k)
zj2=B%zc(i,j+1,k)
else
xj1=0.5d0*(B%xc(i,j-1,k)+B%xc(i,j-1,k-1))
yj1=0.5d0*(B%yc(i,j-1,k)+B%yc(i,j-1,k-1))
zj1=0.5d0*(B%zc(i,j-1,k)+B%zc(i,j-1,k-1))
xj2=0.5d0*(B%xc(i,j+1,k)+B%xc(i,j+1,k-1))
yj2=0.5d0*(B%yc(i,j+1,k)+B%yc(i,j+1,k-1))
zj2=0.5d0*(B%zc(i,j+1,k)+B%zc(i,j+1,k-1))
endif
xi=0.5d0*(xi2-xi1)
yi=0.5d0*(yi2-yi1)
zi=0.5d0*(zi2-zi1)
xj=0.5d0*(xj2-xj1)
yj=0.5d0*(yj2-yj1)
zj=0.5d0*(zj2-zj1)
Jac1=xi*yj*zk+yi*zj*xk+zi*xj*yk-xi*zj*yk-yi*xj*zk-zi*yj*xk
if(abs(Jac1) .lt. Lim_Zero) Jac1=Lim_Zero
Jac=1.d0/Jac1
B%ix3(i,j,k)=Jac*(yj*zk-zj*yk)
B%iy3(i,j,k)=Jac*(zj*xk-xj*zk)
B%iz3(i,j,k)=Jac*(xj*yk-yj*xk)
B%jx3(i,j,k)=Jac*(yk*zi-zk*yi)
B%jy3(i,j,k)=Jac*(zk*xi-xk*zi)
B%jz3(i,j,k)=Jac*(xk*yi-yk*xi)
B%kx3(i,j,k)=Jac*(yi*zj-zi*yj)
B%ky3(i,j,k)=Jac*(zi*xj-xi*zj)
B%kz3(i,j,k)=Jac*(xi*yj-yi*xj)
enddo
enddo
enddo
! (I,J,K)点的值, 标量方程的源项需要 (仅最密的网格使用)
if(nMesh .eq. 1) then
do k=1,B%nz-1
do j=1,B%ny-1
do i=1,B%nx-1
xi=B%xc(i+1,j,k)-B%xc(i-1,j,k)
yi=B%yc(i+1,j,k)-B%yc(i-1,j,k)
zi=B%zc(i+1,j,k)-B%zc(i-1,j,k)
xj=B%xc(i,j+1,k)-B%xc(i,j-1,k)
yj=B%yc(i,j+1,k)-B%yc(i,j-1,k)
zj=B%zc(i,j+1,k)-B%zc(i,j-1,k)
xk=B%xc(i,j,k+1)-B%xc(i,j,k-1)
yk=B%yc(i,j,k+1)-B%yc(i,j,k-1)
zk=B%zc(i,j,k+1)-B%zc(i,j,k-1)
Jac1=xi*yj*zk+yi*zj*xk+zi*xj*yk-xi*zj*yk-yi*xj*zk-zi*yj*xk
if(abs(Jac1) .lt. Lim_Zero) Jac1=Lim_Zero
Jac=1.d0/Jac1
B%ix0(i,j,k)=Jac*(yj*zk-zj*yk)
B%iy0(i,j,k)=Jac*(zj*xk-xj*zk)
B%iz0(i,j,k)=Jac*(xj*yk-yj*xk)
B%jx0(i,j,k)=Jac*(yk*zi-zk*yi)
B%jy0(i,j,k)=Jac*(zk*xi-xk*zi)
B%jz0(i,j,k)=Jac*(xk*yi-yk*xi)
B%kx0(i,j,k)=Jac*(yi*zj-zi*yj)
B%ky0(i,j,k)=Jac*(zi*xj-xi*zj)
B%kz0(i,j,k)=Jac*(xi*yj-yi*xj)
enddo
enddo
enddo
endif
enddo
end subroutine Comput_Goemetric_var
!-------------------------------------------------
subroutine check_mesh_quality
use Global_Var
implicit none
integer::nMesh
do nMesh=1,Num_Mesh
call check_mesh_quality_onemesh(nMesh)
enddo
end
! 检查网格质量
! 检查方法： 网格的连续性 （体积的连续性、法方向的连续性）
subroutine check_mesh_quality_onemesh(nMesh)
use Global_Var
implicit none
integer :: i,j,k,m,nx,ny,nz,nMesh,i1,j1,k1,i2,j2,k2,im,jm,km,in,jn,kn
real(PRE_EC):: fl,ft,flmax,ftmax,fl1,fl2,fl3,ft1,ft2,ft3,Af,Aa
real(PRE_EC):: x1,x2,y1,y2,z1,z2,Vmax,Vmin
character(len=50):: filename
Type (Mesh_TYPE),pointer:: MP
Type (Block_TYPE),pointer:: B
if(my_id .eq. 0) print*, "Check mesh quality ......"
MP=>Mesh(nMesh)
do m=1,MP%Num_Block
B => MP%Block(m)
nx=B%nx; ny=B%ny ; nz=B%nz
! ----统计最大、最小网格 ----------------------
Vmax=B%vol(1,1,1)
Vmin=B%vol(1,1,1)
im=1; jm=1; km=1
in=1; jn=1; kn=1
do k=1,nz-1
do j=1,ny-1
do i=1,nx-1
if(B%vol(i,j,k) > Vmax) then
Vmax=B%vol(i,j,k)
im=i ; jm=j ; km=k
endif
if(B%vol(i,j,k) < Vmin) then
Vmin=B%vol(i,j,k)
in=i; jn=j; kn=k
endif
enddo
enddo
enddo
!-----计算网格长度比、网格线的转角 ------------
flmax=1.d0
ftmax=0.d0
! 长度比
do k=1,nz-1
do j=1,ny-1
do i=1,nx-1
fl1=sqrt((B%xc(i,j,k)-B%xc(i-1,j,k))**2+(B%yc(i,j,k)-B%yc(i-1,j,k))**2+(B%zc(i,j,k)-B%zc(i-1,j,k))**2) &
/sqrt((B%xc(i,j,k)-B%xc(i+1,j,k))**2+(B%yc(i,j,k)-B%yc(i+1,j,k))**2+(B%zc(i,j,k)-B%zc(i+1,j,k))**2)
fl2=sqrt((B%xc(i,j,k)-B%xc(i,j-1,k))**2+(B%yc(i,j,k)-B%yc(i,j-1,k))**2+(B%zc(i,j,k)-B%zc(i,j-1,k))**2) &
/sqrt((B%xc(i,j,k)-B%xc(i,j+1,k))**2+(B%yc(i,j,k)-B%yc(i,j+1,k))**2+(B%zc(i,j,k)-B%zc(i,j+1,k))**2)
fl3=sqrt((B%xc(i,j,k)-B%xc(i,j,k-1))**2+(B%yc(i,j,k)-B%yc(i,j,k-1))**2+(B%zc(i,j,k)-B%zc(i,j,k-1))**2) &
/sqrt((B%xc(i,j,k)-B%xc(i,j,k+1))**2+(B%yc(i,j,k)-B%yc(i,j,k+1))**2+(B%zc(i,j,k)-B%zc(i,j,k+1))**2)
if(fl1 .lt. 1.d0) fl1=1.d0/fl1
if(fl2 .lt. 1.d0) fl2=1.d0/fl2
if(fl3 .lt. 1.d0) fl3=1.d0/fl3
fl=max(fl1,fl2,fl3)
x1=B%xc(i,j,k)-B%xc(i-1,j,k) ; x2= B%xc(i+1,j,k)-B%xc(i,j,k)
y1=B%yc(i,j,k)-B%yc(i-1,j,k) ; y2= B%yc(i+1,j,k)-B%yc(i,j,k)
z1=B%zc(i,j,k)-B%zc(i-1,j,k) ; z2= B%zc(i+1,j,k)-B%zc(i,j,k)
ft1=(x1*x2+y1*y2+z1*z2)/sqrt((x1*x1+y1*y1+z1*z1)*(x2*x2+y2*y2+z2*z2))
x1=B%xc(i,j,k)-B%xc(i,j-1,k) ; x2= B%xc(i,j+1,k)-B%xc(i,j,k)
y1=B%yc(i,j,k)-B%yc(i,j-1,k) ; y2= B%yc(i,j+1,k)-B%yc(i,j,k)
z1=B%zc(i,j,k)-B%zc(i,j-1,k) ; z2= B%zc(i,j+1,k)-B%zc(i,j,k)
ft2=(x1*x2+y1*y2+z1*z2)/sqrt((x1*x1+y1*y1+z1*z1)*(x2*x2+y2*y2+z2*z2))
x1=B%xc(i,j,k)-B%xc(i,j,k-1) ; x2= B%xc(i,j,k+1)-B%xc(i,j,k)
y1=B%yc(i,j,k)-B%yc(i,j,k-1) ; y2= B%yc(i,j,k+1)-B%yc(i,j,k)
z1=B%zc(i,j,k)-B%zc(i,j,k-1) ; z2= B%zc(i,j,k+1)-B%zc(i,j,k)
ft3=(x1*x2+y1*y2+z1*z2)/sqrt((x1*x1+y1*y1+z1*z1)*(x2*x2+y2*y2+z2*z2))
ft=min(1.d0,1.d0*min(ft1,ft2,ft3))
ft=acos(ft) ! 网格线折角 (容易出现NaN)
Af=0.9d0*exp(-4.d0*(fl-1.d0)**2)+0.1d0
Aa=0.9d0*exp(-(4.d0/3.1415926535d0*ft)**2)+0.1d0
B%dtime_mesh(i,j,k)=min(Af,Aa)
if(ISNAN(Af) .or. ISNAN(Aa)) then
print*, "--------Find bad grid ------------"
print*, "Af, Aa=", Af,Aa
print*, "Block_no, i,j,k=",B%block_no, i,j,k
write(*,"(7E30.20)") fl,ft,ft1,ft2,ft3,min(ft1,ft2,ft3),acos(min(ft1,ft2,ft3))
endif
!---------找出质量最差的网格，输出-------------------
if(fl .gt. flmax) then
flmax=fl
i1=i
j1=j
k1=k
endif
if(ft .gt. ftmax) then
ftmax=ft
i2=i
j2=j
k2=k
endif
enddo
enddo
enddo
if(nMesh .eq. 1) then
open(103,file="mesh-quality.dat",access="append")
write(103,*) "------------------Block ", m, "---------------------------"
write(103,*) "Cell Number=", (nx-1)*(ny-1)*(nz-1)
write(103,*) "Max volume=", Vmax, im,jm,km
write(103,*) "Min Volume=", Vmin, in,jn,kn
write(103,*) "============="
write(103,*) "max grid factor=",flmax, i1,j1,k1
write(103,*) "dtime_mesh=", B%dtime_mesh(i1,j1,k1)
write(103,*) "max grid-line turn angle (degree)=",ftmax*180.d0/3.1415926535d0, i2,j2,k2
write(103,*) "dtime_mesh=", B%dtime_mesh(i2,j2,k2)
close(103)
endif
enddo
if(nMesh .eq. 1) then
if(IF_Debug .eq. 1) then
write(filename, "('mesh-quality-'I5.5'.dat')") my_id
open(106, file=filename)
write(106,*) "variables=x,y,z,dtfact"
do m=1,MP%Num_Block
B => MP%Block(m)
nx=B%nx; ny=B%ny ; nz=B%nz
write(106,*) "zone i=", nx-1, " j= ", ny-1, " k= ",nz-1
do k=1,nz-1
do j=1,ny-1
do i=1,nx-1
write(106,"(4f20.10)") B%xc(i,j,k),B%yc(i,j,k),B%zc(i,j,k),B%dtime_mesh(i,j,k)
enddo
enddo
enddo
enddo
close(106)
endif
! close(103)
if(my_id .eq. 0) print*, "Check mesh quality OK"
endif
end subroutine check_mesh_quality_onemesh
!------------------------------------------------------------------
! 设定各重网格上的控制信息
subroutine set_control_para
use Global_var
implicit none
integer nMesh
TYPE (Mesh_TYPE),pointer:: MP
MP=>Mesh(1) ! 最细的网格
! 最细网格上的控制参数与主控制参数相同
MP%Iflag_turbulence_model=Iflag_turbulence_model
MP%Iflag_Scheme=Iflag_Scheme
MP%IFlag_flux=IFlag_flux
MP%IFlag_Reconstruction=IFlag_Reconstruction
MP%Bound_Scheme=Bound_scheme ! 边界格式
! 设定粗网格上的控制参数
do nMesh=2,Num_Mesh
MP=>Mesh(nMesh)
MP%Iflag_turbulence_model=Turbulence_NONE ! 粗网格不使用湍流模型
MP%Iflag_Scheme=Scheme_UD1 ! 粗网格使用1阶迎风格式
MP%IFlag_flux=IFlag_flux ! 粗网格的通量分裂技术、时间推进近似及重构技术与细网格相同
MP%IFlag_Reconstruction=IFlag_Reconstruction
MP%Bound_Scheme=Scheme_UD1 ! 粗网格边界点使用1阶格式
enddo
end subroutine set_control_para
subroutine check_mesh_multigrid
use Global_var
implicit none
integer,allocatable,dimension(:):: NI,NJ,NK
integer:: NB,NST,m,k,NN,Km,Km_grid,N_Cell,Ntmp,Bsub,Ksub
integer:: ib,ie,jb,je,kb,ke,bc,ist,iend,jst,jend,kst,kend
print*, "Check if Multi-Grid can be used ..."
if( Mesh_File_Format .eq. 1) then ! 格式文件
open(99,file="Mesh3d.dat")
read(99,*) NB
allocate(NI(NB),NJ(NB),NK(NB))
read(99,*) (NI(m), NJ(m), NK(m), m=1,NB)
close(99)
else
open(99,file="Mesh3d.dat",form="unformatted")
read(99) NB
allocate(NI(NB),NJ(NB),NK(NB))
read(99) (NI(m), NJ(m), NK(m), m=1,NB)
close(99)
endif
N_Cell=0
Km_grid=NI(1) ! 初始值
do m=1,NB
N_Cell=N_Cell+(NI(m)-1)*(NJ(m)-1)*(NK(m)-1) ! 统计总网格单元数
! 判断可使用的网格重数
Km=1
NN=2
! 判断准则： 网格数-1 能被2**km 整除， 且最稀的网格单元数不小于2
do while( mod((NI(m)-1),NN) .eq. 0 .and. (NI(m)-1)/NN .ge. 2 &
.and. mod((NJ(m)-1),NN) .eq. 0 .and. (NJ(m)-1)/NN .ge. 2 &
.and. mod((NK(m)-1),NN) .eq. 0 .and. (NK(m)-1)/NN .ge. 2)
Km=Km+1 ! 所允许的网格重数
NN=NN*2
enddo
Km_grid=min(Km_grid,Km)
enddo
! Print*, " Finished check Mesh3d.dat, Most stage is ", Km_grid
! print*, "Check bc3d.inp ..."
open(88,file="bc3d.inp")
read(88,*)
read(88,*)
do m=1,NB
read(88,*)
read(88,*)
read(88,*) Bsub !number of the subface in the Block m
do ksub=1, Bsub
read(88,*) ib,ie,jb,je,kb,ke,bc
if(bc .lt. 0) read(88,*)
ist=min(abs(ib),abs(ie)) ; iend=max(abs(ib),abs(ie))
jst=min(abs(jb),abs(je)); jend=max(abs(jb),abs(je))
kst=min(abs(kb),abs(ke)); kend=max(abs(kb),abs(ke))
NN=1
Km=1
do while( mod((ist-1),NN) .eq. 0 .and. mod((iend-1),NN) .eq.0 &
.and. mod((jst-1),NN) .eq. 0 .and. mod((jend-1),NN) .eq. 0 &
.and. mod((kst-1),NN) .eq. 0 .and. mod((kend-1),NN) .eq. 0 )
NN=NN*2
Km=Km+1
enddo
Km_grid=min(Km_grid,Km)
enddo
enddo
close(88)
!---------------------------------------------------------
print*, "Total Block number is ", NB, "Total Cell number is " , N_Cell
! print*, "Most stage number of multi-grid is ", Km_grid
! print*, "-------------------------------------------------"
!-------------------------------------------------------------
if(Num_Mesh .gt. Km_grid .or. Num_mesh .gt. 3) then
print*, "Wrong !, Stage number of multi-grid error !!!"
stop
endif
print*, "Check multigrid OK"
!-------------------------------------------------------
deallocate(NI,NJ,NK)
end subroutine check_mesh_multigrid