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sub_turbulence_BL.f90
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!---------------------------------------------------------------------------------------
! 湍流模型模块，For OpenCFD-EC2D ver 1.1; Copyright by Li Xinliang, [email protected]
! Code by Li Xinliang
!--------------------------------------------------------------------------------------
! BL模型
subroutine turbulence_model_BL(nMesh,mBlock)
Use Global_Var
Use Flow_Var
implicit none
integer:: nMesh,mBlock,nx1,ny1,ksub,i,j,kflag,i1,j1
real*8:: ui,vi,uj,vj,ux,vx,uy,vy
real*8:: xi,yi,xj,yj,Ds,Jac,ix,iy,jx,jy,x0,y0
real*8,allocatable,dimension(:,:):: omiga
real*8,allocatable,dimension(:):: Amu1d,Amut1d,d1d,u1d,v1d,yy,omiga1d
integer,allocatable:: flag1(:,:)
Type (Block_TYPE),pointer:: B
Type (BC_MSG_TYPE),pointer:: Bc
B => Mesh(nMesh)%Block(mBlock)
nx1=B%nx ; ny1=B%ny
! test if the block contains wall
kflag=0
do ksub=1, B%subface
if(B%bc_msg(ksub)%neighb .eq. BC_WALL) kflag=1
enddo
if(Kflag .eq. 0) return ! No wall in this block
! This Block Contains Wall
allocate(omiga(0:nx1,0:ny1),flag1(0:nx1,0:ny1))
B%Amu_t(:,:)=0.d0
omiga=0.d0
flag1=0
!----- get Omiga (vorticity) omiga=vx-uy at the cell's center ------
!$OMP PARALLEL DO DEFAULT(PRIVATE) SHARED(nx1,ny1,B,uu,v,omiga)
do j=1,ny1-1
do i=1,nx1-1
xi=B%x1(i+1,j)-B%x1(i-1,j)
yi=B%y1(i+1,j)-B%y1(i-1,j)
xj=B%x1(i,j+1)-B%x1(i,j-1)
yj=B%y1(i,j+1)-B%y1(i,j-1)
Jac=1.d0/(xi*yj-xj*yi)
ix=Jac*yj; iy=-Jac*xj; jx=-Jac*yi; jy=Jac*xi ! Jocabian: ksix,ksiy,itax,itay
ui=uu(i+1,j)-uu(i-1,j)
vi=v(i+1,j)-v(i-1,j)
uj=uu(i,j+1)-uu(i,j-1)
vj=v(i,j+1)-v(i,j-1)
vx=vi*ix+vj*jx
uy=ui*iy+uj*jy
omiga(i,j)=abs(vx-uy)
enddo
enddo
!$OMP END PARALLEL DO
!----------------------------------------------------------------------
do ksub=1, B%subface
Bc=> B%bc_msg(ksub)
if(Bc%neighb .eq. BC_WALL) then ! Wall boundary
if(Bc%face .eq. 1) then ! face of i+
allocate(yy(nx1),Amu1d(nx1),Amut1d(nx1),d1d(nx1),u1d(nx1),v1d(nx1),omiga1d(nx1))
Amu1d=0.d0; Amut1d=0.d0
do j=Bc%jst,Bc%jend-1
x0=(B%x1(1,j)+B%x1(0,j))*0.5d0 ; y0=(B%y1(1,j)+B%y1(0,j))*0.5d0
do i=1,nx1-1
yy(i)=sqrt((B%x1(i,j)-x0)**2+(B%y1(i,j)-y0)**2)
u1d(i)=uu(i,j) ; v1d(i)=v(i,j) ; d1d(i)=d(i,j) ; omiga1d(i)=omiga(i,j)
Amu1d(i)=B%Amu(i,j)
enddo
call BL_model_1d(nx1,yy,Amu1d,Amut1d,d1d,u1d,v1d,omiga1d)
do i=1,nx1-1
if(flag1(i,j) .eq. 0) then
flag1(i,j)=1
B%Amu_t(i,j)=Amut1d(i)
else
B%Amu_t(i,j)=min(B%Amu_t(i,j),Amut1d(i))
endif
enddo
enddo
B%Amu_t(:,Bc%jst-1)=B%Amu_t(:,Bc%jst) ; B%Amu_t(:,Bc%jend)=B%Amu_t(:,Bc%jend-1)
B%Amu_t(nx1,Bc%jst:Bc%jend)=B%Amu_t(nx1-1,Bc%jst:Bc%jend)
B%Amu_t(0,Bc%jst:Bc%jend)=-B%Amu_t(1,Bc%jst:Bc%jend) ! To set Amu_t=0 in the wall
deallocate(yy,Amu1d,Amut1d,d1d,u1d,v1d,omiga1d)
else if (Bc%face .eq. 3) then ! face i-
allocate(yy(nx1),Amu1d(nx1),Amut1d(nx1),d1d(nx1),u1d(nx1),v1d(nx1),omiga1d(nx1))
Amu1d=0.d0; Amut1d=0.d0
do j=Bc%jst,Bc%jend-1
x0=(B%x1(nx1-1,j)+B%x1(nx1,j))*0.5d0 ; y0=(B%y1(nx1-1,j)+B%y1(nx1,j))*0.5d0
do i=nx1-1,1,-1
i1=nx1-i
yy(i1)=sqrt((B%x1(i,j)-x0)**2+(B%y1(i,j)-y0)**2)
u1d(i1)=uu(i,j) ; v1d(i1)=v(i,j) ; d1d(i1)=d(i,j) ; omiga1d(i1)=omiga(i,j)
Amu1d(i1)=B%Amu(i,j)
enddo
call BL_model_1d(nx1,yy,Amu1d,Amut1d,d1d,u1d,v1d,omiga1d)
do i=nx1-1,1,-1
i1=nx1-i
if(flag1(i,j) .eq. 0) then
flag1(i,j)=1
B%Amu_t(i,j)=Amut1d(i1)
else
B%Amu_t(i,j)=min(B%Amu_t(i,j),Amut1d(i1))
endif
enddo
enddo
B%Amu_t(:,Bc%jst-1)=B%Amu_t(:,Bc%jst) ; B%Amu_t(:,Bc%jend)=B%Amu_t(:,Bc%jend-1)
B%Amu_t(0,Bc%jst:Bc%jend)=B%Amu_t(1,Bc%jst:Bc%jend)
B%Amu_t(nx1,Bc%jst:Bc%jend)=-B%Amu_t(nx1-1,Bc%jst:Bc%jend) ! To set B%Amu_t=0 in the wall
deallocate(yy,Amu1d,Amut1d,d1d,u1d,v1d,omiga1d)
else if(Bc%face .eq. 2) then ! face of j-
allocate(yy(ny1),Amu1d(ny1),Amut1d(ny1),d1d(ny1),u1d(ny1),v1d(ny1),omiga1d(ny1))
Amu1d=0.d0; Amut1d=0.d0
do i=Bc%ist,Bc%iend-1
x0=(B%x1(i,1)+B%x1(i,0))*0.5d0 ; y0=(B%y1(i,1)+B%y1(i,0))*0.5d0
do j=1,ny1-1
yy(j)=sqrt((B%x1(i,j)-x0)**2+(B%y1(i,j)-y0)**2)
u1d(j)=uu(i,j) ; v1d(j)=v(i,j) ; d1d(j)=d(i,j) ; omiga1d(j)=omiga(i,j)
Amu1d(j)=B%Amu(i,j)
enddo
call BL_model_1d(ny1,yy,Amu1d,Amut1d,d1d,u1d,v1d,omiga1d)
do j=1,ny1-1
if(flag1(i,j) .eq. 0) then
flag1(i,j)=1
B%Amu_t(i,j)=Amut1d(j)
else
B%Amu_t(i,j)=min(B%Amu_t(i,j),Amut1d(j))
endif
enddo
enddo
B%Amu_t(Bc%ist:Bc%iend,0)=-B%Amu_t(Bc%ist:Bc%iend,1) ! To set B%Amu_t=0 in the wall
B%Amu_t(Bc%ist:Bc%iend,ny1)=B%Amu_t(Bc%ist:Bc%iend,ny1-1)
B%Amu_t(Bc%ist-1,:)=B%Amu_t(Bc%ist,:)
B%Amu_t(Bc%iend,:)=B%Amu_t(Bc%iend-1,:)
deallocate(yy,Amu1d,Amut1d,d1d,u1d,v1d,omiga1d)
else ! face j-
allocate(yy(ny1),Amu1d(ny1),Amut1d(ny1),d1d(ny1),u1d(ny1),v1d(ny1),omiga1d(ny1))
Amu1d=0.d0; Amut1d=0.d0
do i=Bc%ist,Bc%iend-1
x0=(B%x1(i,ny1-1)+B%x1(i,ny1))*0.5d0 ; y0=(B%y1(i,ny1-1)+B%y1(i,ny1))*0.5d0
do j=ny1-1,1,-1
j1=ny1-j
yy(j1)=sqrt((B%x1(i,j)-x0)**2+(B%y1(i,j)-y0)**2)
u1d(j1)=uu(i,j) ; v1d(j1)=v(i,j) ; d1d(j1)=d(i,j) ; omiga1d(j1)=omiga(i,j)
Amu1d(j1)=B%Amu(i,j)
enddo
call BL_model_1d(ny1,yy,Amu1d,Amut1d,d1d,u1d,v1d,omiga1d)
do j=ny1-1,1,-1
j1=ny1-j
if(flag1(i,j) .eq. 0) then
flag1(i,j)=1
B%Amu_t(i,j)=Amut1d(j1)
else
B%Amu_t(i,j)=min(B%Amu_t(i,j),Amut1d(j1))
endif
enddo
enddo
B%Amu_t(Bc%ist:Bc%iend,ny1)=-B%Amu_t(Bc%ist:Bc%iend,ny1-1) ! To set B%Amu_t=0 in the wall
B%Amu_t(Bc%ist:Bc%iend,0)=B%Amu_t(Bc%ist:Bc%iend,1)
B%Amu_t(Bc%ist-1,:)=B%Amu_t(Bc%ist,:)
B%Amu_t(Bc%iend,:)=B%Amu_t(Bc%iend-1,:)
deallocate(yy,Amu1d,Amut1d,d1d,u1d,v1d,omiga1d)
endif
endif
enddo
! 取消限制条件(2010-10-12). 很多工况出现粘性不足，产生虚假分离，无法收敛现象，需要加大粘性。
! do j=0,ny1
! do i=0,nx1
! 限制条件，避免计算出的湍流粘性系数过大
! if(Amu_t(i,j) .gt. 1.d0/sqrt(Re)) Amu_t(i,j)=1.d0/sqrt(Re)
! enddo
! enddo
! write(99,*) "zone i=", nx1+1, " j= ", ny1+1
! do j=0, ny1
! do i=0, nx1
! write(99,"(4f20.10)") B%x1(i,j),B%y1(i,j), omiga(i,j),Amu_t(i,j)*Re
! enddo
! enddo
deallocate(omiga,flag1)
end
!c------------------------------------------------------------------------
! B-L model of turbulence
! Ref: Wilox DC. Turbulence Modeling for CFD (2nd Edition), p77
subroutine BL_model_1d(ny,yy,Amu,Amu_t,d,u,v,omiga)
implicit none
integer ny,j,Iflag,Ny_boundary
real*8,dimension(ny) :: yy, Amu,Amu_t,d,u,v,omiga
real*8,parameter:: AP=26.,Ccp=1.6,Ckleb=0.3,Cwk=0.25d0,AKT=0.4,AK=0.0168 ! Cwk= 1.d0
real*8:: Tw,Ret,Fmax,etamax,Udif,etap,FF,Fwak,bl,Fkleb,Visti,Visto,uu
TW=abs(Amu(1)*omiga(1))
do j=1,Ny-1
if(abs(Amu(j)*omiga(j)) .gt. TW) Tw=abs(Amu(j)*omiga(j))
enddo
Ret=sqrt(d(1)*TW)/Amu(1)
Fmax=0.d0 ; etamax=0.d0 ; Udif=0.d0
! Ny_boundary=Ny
Ny_boundary=Ny-1 !!! 修改 2011-10-18
! 临时修改，防止搜索范围过大，造成ymax,Fmax 出现过大值
! if(Ny .gt. 10) then
! Ny_boundary=Ny-5
! else
! Ny_boundary=Ny
! endif
!----------------------------------
do j=1,Ny_boundary
uu=sqrt(u(j)**2+v(j)**2)
if(uu .gt. Udif) Udif=uu
etap=yy(j)*Ret
FF=yy(j)*abs(omiga(j))*(1.d0-exp(-etap/AP))
if(FF.gt.Fmax) then
Fmax=FF
etamax=yy(j) ! 某些位置算出的值偏大
endif
! if(FF.gt.Fmax) then
! Fmax=FF
! etamax=yy(j)
! else
! goto 100 ! Find the first peak of F(y) ! 重要的修改 !!!
! endif
enddo
100 continue
IFlag=0
Fwak=dmin1(etamax*Fmax,Cwk*etamax*Udif*Udif/Fmax)
do j=1,Ny-1
etap=Ret*yy(j)
bl=AKT*yy(j)*(1.d0-exp(-etap/AP))
visti=d(j)*bl*bl*abs(omiga(j))
Fkleb=1.d0/(1.d0+5.5d0*(Ckleb*yy(j)/etamax)**6)
visto=AK*Ccp*d(j)*Fwak*Fkleb
if(abs(visto).lt.abs(visti)) IFlag=1
if(Iflag.eq.0) then
Amu_t(j)=visti
else
Amu_t(j)=visto
endif
enddo
end