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sub_boundary.f90
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! modules for Boundary layer condition
! For OpenCFD-EC 2D ver 1.1
! Copyright by Li Xinliang, [email protected]
! Code by Li Xinliang, 2011-3-27
! -------modified-----------------------------------------------------
! 2011-11-23: Symmetry boundary condition is adding
! 2011-12-9: Isothormal wall boundary condition is adding
!---------------------------------------------------------------------
! 处理边界条件（非内边界） （处理一套网格）
subroutine Boundary_condition_onemesh(nMesh)
use Global_Var
implicit none
Type (Block_TYPE),pointer:: B
Type (BC_MSG_TYPE),pointer:: Bc
integer:: nMesh,mBlock,ksub
! ------------------------------------------------------
do mBlock=1,Mesh(nMesh)%Num_Block
B => Mesh(nMesh)%Block(mBlock)
do ksub=1,B%subface
Bc=> B%bc_msg(ksub)
if(Bc%neighb .lt. 0 ) then ! 非内边界
if( Bc%neighb .eq. BC_Wall ) then
call boundary_wall(nMesh,mBlock,ksub) ! 固壁边界
else if( Bc%neighb .eq. BC_Farfield .or. Bc%neighb .eq. BC_Inlet .or. Bc%neighb .eq. BC_Outlet) then
call boundary_Farfield_inlet_outlet(nMesh,mBlock,ksub, Bc%neighb) ! 远场边界 or 入口 or 出口
else if( Bc%neighb .eq. BC_Symmetry_or_slidewall ) then
call Symmetry_or_slidewall(nMesh,mBlock,ksub) ! 对称（或滑移）边界
endif
endif
enddo
enddo
end subroutine Boundary_condition_onemesh
!------------------------------------------------------------
!---------------------------------------------------------------------------
! inner boundary condition 内边界
! 根据网格连接关系，更新缓冲区内物理量的信息 (处理一套网格)
! 缓冲区为LAP层网格 (目前版本设定LAP=2)
subroutine update_buffer_onemesh(nMesh)
use Global_Var
implicit none
Type (Mesh_TYPE),pointer:: MP
Type (Block_TYPE),pointer:: B,B1
Type (BC_MSG_TYPE),pointer:: Bc,Bc1
real*8,allocatable:: Ua(:,:,:)
integer:: nMesh,Nvar1,i,j,k,k1,m,mBlock,ksub,n1,m_neighbour,msub,orient,Kflag_initial,nx1,ny1
integer:: ibegin1,iend1,jbegin1,jend1,ibegin2,iend2,jbegin2,jend2
!----------------------------------------------------------
MP=>Mesh(nMesh) ! 网格 （nMesh=3,2,1代表 粗、中、密网格）
Nvar1=MP%Nvar ! 变量数目 （4或6个），粗网格只有4个变量； 密网格可以有4或6个变量（包括SST模型的两个变量）
do mBlock=1,MP%Num_Block
B => MP%Block(mBlock)
do ksub=1,B%subface
Bc=> B%bc_msg(ksub)
if( Bc%neighb .ge. 0 ) then ! inner boundary
ibegin2=Bc%ist; iend2=Bc%iend; jbegin2=Bc%jst; jend2=Bc%jend ! write
n1=iend2-ibegin2+jend2-jbegin2 ! +1 (number of cells)
! 把连接点的信息读入临时数组Ua
allocate(Ua(Nvar1,n1,LAP)) !存储交换信息的临时数组
m_neighbour=Bc%neighb; msub= Bc%subface
B1 => Mesh(nMesh)%Block(m_neighbour)
Bc1 => B1%bc_msg(msub)
ibegin1=Bc1%ist; iend1=Bc1%iend; jbegin1=Bc1%jst; jend1=Bc1%jend ! read
if(Bc1%face .eq. 1 ) then ! boundary i-
do j=jbegin1,jend1-1
do i=1,LAP
! Ua(:,j,i)=B1%U(:,ibegin1+i-1,j)
Ua(:,j-jbegin1+1,i)=B1%U(:,ibegin1+i-1,j)
enddo
enddo
else if ( Bc1%face .eq. 2) then ! boundary j-
do j=1,LAP
do i=ibegin1,iend1-1
! Ua(:,i,j)=B1%U(:,i,jbegin1+j-1)
Ua(:,i-ibegin1+1,j)=B1%U(:,i,jbegin1+j-1)
enddo
enddo
else if( Bc1%face .eq. 3) then ! boundary i+
do j=jbegin1, jend1-1
do i=1,LAP
! Ua(:,j,i)=B1%U(:,iend1-LAP-1+i,j)
Ua(:,j-jbegin1+1,i)=B1%U(:,iend1-LAP-1+i,j)
enddo
enddo
else ! boundary j+
do j=1,LAP
do i=ibegin1,iend1-1
! Ua(:,i,j)=B1%U(:,i,jend1-LAP-1+j)
Ua(:,i-ibegin1+1,j)=B1%U(:,i,jend1-LAP-1+j)
enddo
enddo
endif
! 把临时数组Ua中的信息写入缓冲区
orient=Bc%orient ! orient==2 顺序; 其他值为 逆序
do k=1,n1
if(orient .eq. 2) then
k1=k
else
k1=n1+1-k
endif
if(Bc%face .eq. 1 ) then ! boundary i-
do i=1,LAP
B%U(:,ibegin2-LAP-1+i,jbegin2+k-1)=Ua(:,k1,i)
enddo
else if(Bc%face .eq. 2 ) then ! boundary j-
do j=1,LAP
B%U(:,ibegin2+k-1,jbegin2-LAP-1+j)=Ua(:,k1,j)
enddo
else if (Bc%face .eq. 3 ) then ! boundary i+
do i=1,LAP
B%U(:,iend2+i-1,jbegin2+k-1)=Ua(:,k1,i)
enddo
else ! boundary j+
do j=1,LAP
B%U(:,ibegin2+k-1,jend2+j-1)=Ua(:,k1,j)
enddo
endif
enddo
deallocate(Ua)
endif
enddo
! 处理缓冲区的角点，用插值的方法赋值
nx1=B%nx; ny1=B%ny
call U_average_conner(Nvar1,B%U(:,1,0),B%U(:,1,1),B%U(:,0,1),B%U(:,0,0),Cv)
call U_average_conner(Nvar1,B%U(:,1,ny1),B%U(:,1,ny1-1),B%U(:,0,ny1-1),B%U(:,0,ny1),Cv)
call U_average_conner(Nvar1,B%U(:,nx1-1,0),B%U(:,nx1-1,1),B%U(:,nx1,1),B%U(:,nx1,0),Cv)
call U_average_conner(Nvar1,B%U(:,nx1-1,ny1),B%U(:,nx1-1,ny1-1),B%U(:,nx1,ny1-1),B%U(:,nx1,ny1),Cv)
enddo
end subroutine update_buffer_onemesh
!-----------------------------------------------------------------------------
! 根据连接关系，将对应点的坐标写入缓冲区，并计算中心点坐标
subroutine Update_coordinate_buffer
use Global_Var
implicit none
integer nMesh
do nMesh=1,Num_Mesh
call Update_coordinate_buffer_onemesh(nMesh)
enddo
end subroutine Update_coordinate_buffer
!---------Continue boundary (inner boundary) -------------------------------
! 根据连接关系，将对应点的坐标写入缓冲区，并计算中心点坐标 (处理1套网格)
! 两块网格交界区布置 LAP层虚网格
! 交换虚网格的几何信息
! 对于物理边界，采用外插的方法构造虚网格的几何信息 （利用高阶外插）
subroutine Update_coordinate_buffer_onemesh(nMesh)
use Global_Var
implicit none
Type (Mesh_TYPE),pointer:: MP
Type (Block_TYPE),pointer:: B,B1
Type (BC_MSG_TYPE),pointer:: Bc,Bc1
real*8,allocatable:: Ux(:,:,:)
integer:: nMesh,i,j,k,k1,m,mBlock,ksub,n1,m_neighbour,msub,orient,Kflag_initial
integer:: ibegin1,iend1,jbegin1,jend1,ibegin2,iend2,jbegin2,jend2
integer:: nx,ny,i1,i2,j1,j2
character(len=30)::filename
! ------------------------------------------------------
MP=>Mesh(nMesh) ! 网格 （nMesh=3,2,1代表 粗、中、密网格）
do mBlock=1,MP%Num_Block
B => MP%Block(mBlock)
do ksub=1,B%subface
Bc=> B%bc_msg(ksub)
ibegin2=Bc%ist; iend2=Bc%iend; jbegin2=Bc%jst; jend2=Bc%jend ! write
if(Bc%neighb .gt. 0 ) then ! inner boundary
n1=Bc%iend-Bc%ist+Bc%jend-Bc%jst+1 ! i_end-i_begin+j_end-j_begin+1
allocate(Ux(2,n1,LAP))
m_neighbour=Bc%neighb; msub= Bc%subface
B1 => Mesh(nMesh)%Block(m_neighbour)
Bc1=> B1%bc_msg(msub)
ibegin1=Bc1%ist; iend1=Bc1%iend; jbegin1=Bc1%jst; jend1=Bc1%jend ! read
do i=1,LAP
if(Bc1%face .eq. 1 ) then ! boundary i-
Ux(1,:,i)=B1%x(ibegin1+i,jbegin1:jend1) ; Ux(2,:,i)=B1%y(ibegin1+i,jbegin1:jend1);
else if ( Bc1%face .eq. 2) then ! boundary j-
Ux(1,:,i)=B1%x(ibegin1:iend1,jbegin1+i); Ux(2,:,i)=B1%y(ibegin1:iend1,jbegin1+i)
else if( Bc1%face .eq. 3) then ! boundary i+
Ux(1,:,i)=B1%x(iend1-LAP-1+i,jbegin1:jend1) ; Ux(2,:,i)=B1%y(iend1-LAP-1+i,jbegin1:jend1);
else ! boundary j+
Ux(1,:,i)=B1%x(ibegin1:iend1,jend1-LAP-1+i); Ux(2,:,i)=B1%y(ibegin1:iend1,jend1-LAP-1+i)
endif
enddo
orient=Bc%orient
do k=1,n1
if(orient .eq. 2) then
k1=k
else
k1=n1+1-k
endif
do i=1,LAP
if(Bc%face .eq. 1 ) then ! boundary i-
B%x(ibegin2-LAP-1+i,jbegin2+k-1)=Ux(1,k1,i) ; B%y(ibegin2-LAP-1+i,jbegin2+k-1)=Ux(2,k1,i)
else if(Bc%face .eq. 2 ) then ! boundary j-
B%x(ibegin2+k-1,jbegin2-LAP-1+i)=Ux(1,k1,i) ; B%y(ibegin2+k-1,jbegin2-LAP-1+i)=Ux(2,k1,i)
else if (Bc%face .eq. 3 ) then ! boundary i+
B%x(iend2+i,jbegin2+k-1)=Ux(1,k1,i) ; B%y(iend2+i,jbegin2+k-1)=Ux(2,k1,i)
else ! boundary j+
B%x(ibegin2+k-1,jend2+i)=Ux(1,k1,i) ; B%y(ibegin2+k-1,jend2+i)=Ux(2,k1,i)
endif
enddo
enddo
deallocate(Ux)
else ! not inner boundary
! 非内边界点，Ghost Cell的坐标采用外推方法获得 （有待改进）
do i=1,LAP
if(Bc%face .eq. 1 ) then ! boundary i-
B%x(ibegin2-i,jbegin2:jend2)=2.d0*B%x(ibegin2,jbegin2:jend2)-B%x(ibegin2+i,jbegin2:jend2)
B%y(ibegin2-i,jbegin2:jend2)=2.d0*B%y(ibegin2,jbegin2:jend2)-B%y(ibegin2+i,jbegin2:jend2)
else if(Bc%face .eq. 2 ) then ! boundary j-
B%x(ibegin2:iend2,jbegin2-i)=2.d0*B%x(ibegin2:iend2,jbegin2)-B%x(ibegin2:iend2,jbegin2+i)
B%y(ibegin2:iend2,jbegin2-i)=2.d0*B%y(ibegin2:iend2,jbegin2)-B%y(ibegin2:iend2,jbegin2+i)
else if (Bc%face .eq. 3 ) then ! boundary i+
B%x(iend2+i,jbegin2:jend2)=2.d0*B%x(iend2,jbegin2:jend2)-B%x(iend2-i,jbegin2:jend2)
B%y(iend2+i,jbegin2:jend2)=2.d0*B%y(iend2,jbegin2:jend2)-B%y(iend2-i,jbegin2:jend2)
else ! boundary j+
B%x(ibegin2:iend2,jend2+i)=2.d0*B%x(ibegin2:iend2,jend2)-B%x(ibegin2:iend2,jend2-i)
B%y(ibegin2:iend2,jend2+i)=2.d0*B%y(ibegin2:iend2,jend2)-B%y(ibegin2:iend2,jend2-i)
endif
enddo
endif
enddo
! Conner point
nx=B%nx; ny=B%ny
! B%x(0,0)=B%x(1,0)+B%x(0,1)-B%x(1,1); B%y(0,0)=B%y(1,0)+B%y(0,1)-B%y(1,1)
! B%x(0,ny1+1)=B%x(1,ny1+1)+B%x(0,ny1)-B%x(1,ny1); B%y(0,ny1+1)=B%y(1,ny1+1)+B%y(0,ny1)-B%y(1,ny1)
! B%x(nx1+1,0)=B%x(nx1,0)+B%x(nx1+1,1)-B%x(nx1,1); B%y(nx1+1,0)=B%y(nx1,0)+B%y(nx1+1,1)-B%y(nx1,1)
! B%x(nx1+1,ny1+1)=B%x(nx1,ny1+1)+B%x(nx1+1,ny1)-B%x(nx1,ny1); B%y(nx1+1,ny1+1)=B%y(nx1,ny1+1)+B%y(nx1+1,ny1)-B%y(nx1,ny1)
! 区域的角点（共LAP*LAP个）
do j=1,LAP
do i=1,LAP
i1=1-i; j1=1-j
i2=nx+i;j2=ny+j
B%x(i1,j1)=B%x(i1,1)+B%x(1,j1)-B%x(1,1); B%y(i1,j1)=B%y(i1,1)+B%y(1,j1)-B%y(1,1)
B%x(i2,j2)=B%x(i2,ny)+B%x(nx,j2)-B%x(nx,ny); B%y(i2,j2)=B%y(i2,ny)+B%y(nx,j2)-B%y(nx,ny)
B%x(i1,j2)=B%x(i1,ny)+B%x(1,j2)-B%x(1,ny); B%y(i1,j2)=B%y(i1,ny)+B%y(1,j2)-B%y(1,ny)
B%x(i2,j1)=B%x(i2,1)+B%x(nx,j1)-B%x(nx,1); B%y(i2,j1)=B%y(i2,1)+B%y(nx,j1)-B%y(nx,1)
enddo
enddo
! Coordinates of the Cell center
do j=1-LAP,ny+LAP-1
do i=1-LAP,nx+LAP-1
B%x1(i,j)=(B%x(i,j)+B%x(i+1,j)+B%x(i,j+1)+B%x(i+1,j+1))*0.25
B%y1(i,j)=(B%y(i,j)+B%y(i+1,j)+B%y(i,j+1)+B%y(i+1,j+1))*0.25
enddo
enddo
enddo
! 输出含缓冲区的网格信息（tecplot格式），便于调试
write(filename,"('mesh-test'I1.1'.dat')") nMesh
open(99,file=filename) ! mesh-test1.dat 细网格， mesh-test2.dat 粗网格， mesh-test3.dat 更粗网格
write(99,*) "variables=x,y"
do m=1,Mesh(nMesh)%Num_Block
B => Mesh(nMesh)%Block(m)
! write(99,*) " zone ", "i= ", B%nx+2, " j= ", B%ny+2
! do j=0,B%ny+1
! do i=0,B%nx+1
write(99,*) " zone ", "i= ", B%nx+4, " j= ", B%ny+4
do j=-1,B%ny+2
do i=-1,B%nx+2
write(99,*) B%x(i,j),B%y(i,j)
enddo
enddo
enddo
close(99)
end subroutine Update_coordinate_buffer_onemesh
!-------------------------------------------------------------------
! 处理壁面边界条件
! 使用LAP层虚网格
subroutine boundary_wall(nMesh,mBlock,ksub)
use Global_Var
implicit none
Type (Block_TYPE),pointer:: B
Type (BC_MSG_TYPE),pointer:: Bc
Type (Mesh_TYPE),pointer:: MP
integer:: nMesh,mBlock,ksub,ibegin,iend,jbegin,jend,i,j,i2,j2,i1,j1,k
real*8:: d1,p1,T1,d2,p2,T2,u1,v1,u2,v2,Tsb,Amu2,wt
real*8,parameter:: beta1_SST=0.075d0
MP => Mesh(nMesh)
B => MP%Block(mBlock)
Bc => B%bc_msg(ksub)
Tsb=110.4d0/T_inf ! 参考温度 （Surthland公式中使用)
ibegin=Bc%ist; iend=Bc%iend; jbegin=Bc%jst; jend=Bc%jend
do j=jbegin,jend
do i=ibegin,iend
do k=1,LAP
! (i1,j1) 内点； (i2,j2) 为对应的buffer区的点
if(Bc%face .eq. 1) then
i1=i+k-1; j1=j; i2=i-k ; j2=j
else if(Bc%face .eq. 2) then
i1=i; j1=j+k-1; i2=i; j2=j-k
else if(Bc%face .eq. 3) then
i1=i-k; j1=j; i2=i+k-1; j2=j
else
i1=i; j1=j-k; i2=i; j2=j+k-1
endif
if(Twall .le. 0) then ! 绝热壁
B%U(1,i2,j2)= B%U(1,i1,j1) ! d(0)=d(1) 对称
B%U(2,i2,j2)=-B%U(2,i1,j1) ! u(0)=-u(1) -> d*u 反对称
B%U(3,i2,j2)=-B%U(3,i1,j1) ! v(0)=-v(1) -> d*v 反对称
B%U(4,i2,j2)= B%U(4,i1,j1) ! E(0)=E(1) 对称
else ! 等温壁
d1=B%U(1,i1,j1) ! 内点处的密度、压力、温度、速度
u1=B%U(2,i1,j1)/d1
v1=B%U(3,i1,j1)/d1
p1=(B%U(4,i1,j1)-0.5d0*d1*(u1*u1+v1*v1))*(gamma-1.d0)
T1=gamma*Ma*Ma*p1/d1
p2=p1 ! 边界层假设，壁面处法向压力梯度为0
T2=2.d0*Twall-T1 ! 等温壁 0.5*(T1+T2)=Twall
u2=-u1 ! 无滑移壁
v2=-v1
d2=gamma*Ma*Ma*p2/T2
B%U(1,i2,j2)=d2
B%U(2,i2,j2)=d2*u2
B%U(3,i2,j2)=d2*v2
B%U(4,i2,j2)=p2/(gamma-1.d0)+0.5d0*d2*(u2*u2+v2*v2)
endif
if(MP%Nvar .eq. 5) then
B%U(5,i2,j2)=0.d0
endif
if(MP%Nvar .eq. 6) then
d2=B%U(1,i2,j2)
T2=(B%U(4,i2,j2)-0.5d0*(B%U(2,i2,j2)**2+B%U(3,i2,j2)**2)/d2 )/(Cv*d2)
Amu2=(1.d0+Tsb)*sqrt(T2**3)/(Tsb+T2) !层流粘性系数，sutherland equation
! B%U(5,i2,j2)=0.d0 ! 湍动能 （固壁上为0）
! B%U(6,i2,j2)=10.d0*6.d0*Amu2/(d2*beta1_SST*B%dw(i1,j1)**2*Re*Re) ! 湍能比耗散率 , Bug removed 2012-5-10
wt=60.d0*Amu2/(d2*beta1_SST*B%dw(i1,j1)**2*Re*Re)
B%U(5,i2,j2)=- B%U(5,i1,j1) ! 壁面镜像点， 使得壁面上k=0
B%U(6,i2,j2)=(d1+d2)*wt-B%U(6,i1,j1)
endif
enddo
enddo
enddo
end
!-------------------------------------------------------------------
! 对称边界条件(或滑移固壁)
! 使用LAP层虚网格
subroutine Symmetry_or_slidewall(nMesh,mBlock,ksub)
use Global_Var
implicit none
Type (Block_TYPE),pointer:: B
Type (BC_MSG_TYPE),pointer:: Bc
Type (Mesh_TYPE),pointer:: MP
integer:: nMesh,mBlock,ksub,ibegin,iend,jbegin,jend,i,j,i2,j2,i1,j1,k
real*8:: p2,dx,dy,si,n1,n2,Vn
MP=>Mesh(nMesh)
B => MP%Block(mBlock)
Bc => B%bc_msg(ksub)
ibegin=Bc%ist; iend=Bc%iend; jbegin=Bc%jst; jend=Bc%jend
do j=jbegin,jend
do i=ibegin,iend
! 计算边界法方向
if(Bc%face .eq. 1 .or. Bc%face .eq. 3) then ! i+ or i- boundary
dx=B%x(i,j+1)-B%x(i,j) ; dy=B%y(i,j+1)-B%y(i,j)
si=sqrt(dx*dx+dy*dy)
n1=dy/si; n2=-dx/si ! normal vector at (i,j) or (I-1/2,J)
else ! j+ or j-
dx=B%x(i+1,j)-B%x(i,j) ; dy=B%y(i+1,j)-B%y(i,j)
si=sqrt(dx*dx+dy*dy)
n1=-dy/si; n2=dx/si ! normal vector at i, j+1/2
endif
do k=1,LAP
if(Bc%face .eq. 1) then
i1=i+k-1; j1=j; i2=i-k ; j2=j
else if(Bc%face .eq. 2) then
i1=i; j1=j+k-1; i2=i; j2=j-k
else if(Bc%face .eq. 3) then
i1=i-k; j1=j; i2=i+k-1; j2=j
else
i1=i; j1=j-k; i2=i; j2=j+k-1
endif
Vn=B%U(2,i1,j1)*n1+B%U(3,i1,j1)*n2 ! 法向动量
B%U(1,i2,j2)= B%U(1,i1,j1) ! d(0)=d(1) 对称
B%U(2,i2,j2)= B%U(2,i1,j1)-2.d0*Vn*n1 ! 法向动量相反，切向动量不变
B%U(3,i2,j2)= B%U(3,i1,j1)-2.d0*Vn*n2 ! 法向动量相反，切向动量不变
B%U(4,i2,j2)= B%U(4,i1,j1) ! E(0)=E(1) 对称
if(MP%Nvar .eq. 5) then
B%U(5,i2,j2)=B%U(5,i1,j1) ! 标量，对称
elseif(MP%Nvar .eq. 6) then ! k,w
B%U(5,i2,j2)=B%U(5,i1,j1) ! 标量，对称
B%U(6,i2,j2)=B%U(6,i1,j1)
endif
enddo
enddo
enddo
end
!-------------------------------------------------------------------------
! 可处理远场边界条件 以及入口/出口边界条件
subroutine boundary_Farfield_inlet_outlet(nMesh,mBlock,ksub,Bctype)
use Global_Var
implicit none
Type (Block_TYPE),pointer:: B
Type (BC_MSG_TYPE),pointer:: Bc
Type (Mesh_TYPE),pointer:: MP
integer:: Bctype,NMesh,mBlock,ksub,ibegin,iend,jbegin,jend,i,j,i1,j1,i2,j2,k
real*8:: d_inf,u_inf,v_inf,p_inf,p_out,n1,n2
real*8:: d1,u1,v1,p1,c1,d2,u2,v2,p2,pb,db,ub,vb
real*8:: dx,dy,s,Ma_n
! 本软件目前用来计算内流，给定无穷远条件
d_inf=1.d0; u_inf=1.d0*cos(AoA); v_inf=1.d0*sin(AoA) ; p_inf=1.d0/(gamma*Ma*Ma)
MP=>Mesh(nMesh)
B => MP%Block(mBlock)
Bc => B%bc_msg(ksub)
ibegin=Bc%ist; iend=Bc%iend; jbegin=Bc%jst; jend=Bc%jend
do j=jbegin,jend
do i=ibegin,iend
!-----------------------------------------------------------------
! (i1,j1) 是靠近边界的内点， (i2,j2) 是边界外的Ghost Cell点
if(Bc%face .eq. 1) then ! i- 面，
i1=i; j1=j
else if(Bc%face .eq. 2) then ! j- 面
i1=i; j1=j
else if(Bc%face .eq. 3) then ! i+ 面 (i=ibegin=iend=nx), i1=i-1 是内点, i2=i=nx是Ghost Cell
i1=i-1; j1=j
else
i1=i; j1=j-1
endif
d1=B%U(1,i1,j1) ; u1=B%U(2,i1,j1)/d1 ; v1=B%U(3,i1,j1)/d1
p1=(B%U(4,i1,j1)-0.5d0*d1*(u1*u1+v1*v1))*(gamma-1.d0) ! 内点处的值
c1=sqrt(gamma*p1/d1)
! 计算边界 外 法方向
if( Bc%face .eq. 1 ) then
dx=B%x(i,j+1)-B%x(i,j) ; dy=B%y(i,j+1)-B%y(i,j); s=sqrt(dx*dx+dy*dy)
n1=-dy/s; n2= dx/s ! 外法线
else if(Bc%face .eq. 3) then
dx=B%x(i,j+1)-B%x(i,j) ; dy=B%y(i,j+1)-B%y(i,j); s=sqrt(dx*dx+dy*dy)
n1=dy/s; n2= -dx/s ! 外法线
else if(Bc%face .eq. 2) then
dx=B%x(i+1,j)-B%x(i,j) ; dy=B%y(i+1,j)-B%y(i,j) ; s=sqrt(dx*dx+dy*dy)
n1=dy/s; n2=-dx/s ! 外法线
else
dx=B%x(i+1,j)-B%x(i,j) ; dy=B%y(i+1,j)-B%y(i,j) ; s=sqrt(dx*dx+dy*dy)
n1=-dy/s; n2=dx/s ! 外法线
endif
! if(KS_Farfield == 0) then ! 远场处理方式0 （均按照超声速情况处理）
! Ma_n=(u_inf*n1+v_inf*n2)*Ma ! 以无穷远来流量计算 （避免了出口回流区的误算，2012-5-23）
! else
Ma_n=(u1*n1+v1*n2)/c1 ! 法向Mach数
! endif
!-------------------------------------------------------------------------------------------
do k=1,LAP
if(Bc%face .eq. 1) then ! i- 面，
i2=i-k ; j2=j
else if(Bc%face .eq. 2) then ! j- 面
i2=i; j2=j-k
else if(Bc%face .eq. 3) then ! i+ 面 (i=ibegin=iend=nx), i1=i-1 是内点, i2=i=nx是Ghost Cell
i2=i+k-1; j2=j
else
i2=i; j2=j+k-1
endif
!
if(Bctype .eq. BC_outlet .or. (Bctype .eq. BC_Farfield .and. Ma_n >= 0.d0 ) ) then ! 出口
if(Ma_n > 1.d0 .or. P_outlet < 0 .or. Bctype== BC_Farfield) then
B%U(:,i2,j2)=B%U(:,i1,j1) ! 超声速出口，外推 (BC_Farfield 均按照外推处理)
else ! 亚声速出口，给定背压
pb=p_outlet
db=d1+(p_outlet-p1)/(c1*c1)
ub=u1+(p1-p_outlet)/(d1*c1)*n1
vb=v1+(p1-p_outlet)/(d1*c1)*n2
p2=2.d0*pb-p1 ; d2=2.d0*db-d1 ; u2=2.d0*ub-u1 ; v2=2.d0*vb-v1
B%U(1,i2,j2)=d2
B%U(2,i2,j2)=d2*u2
B%U(3,i2,j2)=d2*v2
B%U(4,i2,j2)=p2/(gamma-1.d0)+0.5d0*d2*(u2*u2+v2*v2)
if(Mp%Nvar >= 5) then ! 湍流模型有关量
B%U(5:MP%Nvar,i2,j2)=B%U(5:MP%Nvar,i1,j1)
endif
endif
else ! 入口
if(P_outlet<0 .or. Ma_n <= -1.d0 ) then ! 超声速情况 (设定P_outlet<0 默认按超声速情况处理入口和出口边界)
B%U(1,i2,j2)=d_inf
B%U(2,i2,j2)=d_inf*u_inf
B%U(3,i2,j2)=d_inf*v_inf
B%U(4,i2,j2)=p_inf/(gamma-1.d0)+0.5d0*d_inf*(u_inf*u_inf+v_inf*v_inf)
else
pb=0.5d0*(p1+p_inf-d1*c1*((u_inf-u1)*n1+(v_inf-v1)*n2) )
db=d_inf+(pb-p_inf)/(c1*c1)
ub=u_inf-(p_inf-pb)/(d1*c1)*n1
vb=v_inf-(p_inf-pb)/(d1*c1)*n2
p2=2.d0*pb-p1 ; d2=2.d0*db-d1 ; u2=2.d0*ub-u1 ; v2=2.d0*vb-v1
B%U(1,i2,j2)=d2
B%U(2,i2,j2)=d2*u2
B%U(3,i2,j2)=d2*v2
B%U(4,i2,j2)=p2/(gamma-1.d0)+0.5d0*d2*(u2*u2+v2*v2)
endif
if(Mp%Nvar .eq. 5) then
B%U(5,i2,j2)=vt_inf/Re ! 来流vt值（通常设定层流粘性系数的3-5倍）
else if(MP%Nvar .eq. 6) then
B%U(5,i2,j2)=d_inf*Kt_inf ! 来流值
B%U(6,i2,j2)=d_inf*Wt_inf
endif
endif
enddo
enddo
enddo
end subroutine boundary_Farfield_inlet_outlet
!-------------------------------------------------------------------------
!-------------------------------
! 计算缓冲区角点处的值 （例如U1(0,0)点的值）， 用外插方法计算
subroutine U_average_conner(Nvar1,U1,U2,U3,U4,Cv)
implicit none
integer::Nvar1
real*8,dimension(Nvar1):: U1,U2,U3,U4
real*8:: Cv,d1,uu1,v1,T1,d2,uu2,v2,T2,d3,uu3,v3,T3,d4,uu4,v4,T4
d1=U1(1); uu1=U1(2)/d1; v1=U1(3)/d1; T1=(U1(4)-(uu1*U1(2)+v1*U1(3))*0.5d0)/(d1*Cv) ! density, velocity, Temperature
d2=U2(1); uu2=U2(2)/d2; v2=U2(3)/d2; T2=(U2(4)-(uu2*U2(2)+v2*U2(3))*0.5d0)/(d2*Cv)
d3=U3(1); uu3=U3(2)/d3; v3=U3(3)/d3; T3=(U3(4)-(uu3*U3(2)+v3*U3(3))*0.5d0)/(d3*Cv)
d4=d1+d3-d2; uu4=uu1+uu3-uu2; v4=v1+v3-v2; T4=T1+T3-T2
U4(1)=d4; U4(2)=d4*uu4; U4(3)=d4*v4; U4(4)=d4*(Cv*T4+(uu4*uu4+v4*v4)*0.5d0)
if(Nvar1 .eq. 5) then
U4(5)=U1(5)+U3(5)-U2(5)
endif
if(Nvar1 .eq. 6) then
U4(5)=U1(5)+U3(5)-U2(5)
U4(6)=U1(6)+U3(6)-U2(6)
endif
end subroutine U_average_conner