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sub_turbulence_BL.f90
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!------------------------------------------------------------------------------
subroutine turbulence_model_BL(nMesh,mBlock)
Use Global_Var
Use Flow_Var
implicit none
integer:: mBlock,nx,ny,nz,ksub,i,j,k,kflag,i1,j1,k1,i2,j2,k2,i0,j0,k0,nMesh
real(PRE_EC):: ui,vi,wi,uj,vj,wj,uk,vk,wk,ux,vx,wx,uy,vy,wy,uz,vz,wz
real(PRE_EC):: ix,iy,iz,jx,jy,jz,kx,ky,kz,x0,y0,z0
real(PRE_EC),allocatable,dimension(:,:,:):: omiga
real(PRE_EC),allocatable,dimension(:):: Amu1d,Amut1d,d1d,u1d,yy,omiga1d
integer,allocatable:: flag1(:,:,:)
Type (Block_TYPE),pointer:: B
Type (BC_MSG_TYPE),pointer:: Bc
B => Mesh(nMesh)%Block(mBlock)
nx=B%nx ; ny=B%ny; nz=B%nz
B%mu_t(:,:,:)=0.d0
! test if the block contains wall
kflag=0
do ksub=1, B%subface
if(B%bc_msg(ksub)%bc .eq. BC_WALL) kflag=1
enddo
if(Kflag .eq. 0) return ! No wall in this block
! This Block Contains Wall
allocate(omiga(0:nx,0:ny,0:nz),flag1(0:nx,0:ny,0:nz))
omiga=0.d0
flag1=0
!----- get Omiga (vorticity) omiga=sqrt(omigax**2+omigay**2+omigaz**2) at the cell's center ------
! 采用中心差分求解
!$OMP PARALLEL DO DEFAULT(PRIVATE) SHARED (nx,ny,nz,uu,v,w,omiga,B)
do k=1,nz-1
do j=1,ny-1
do i=1,nx-1
! 物理量对于计算坐标（下标）的导数
ui=uu(i+1,j,k)-uu(i-1,j,k)
vi=v(i+1,j,k)-v(i-1,j,k)
wi=w(i+1,j,k)-w(i-1,j,k)
uj=uu(i,j+1,k)-uu(i,j-1,k)
vj=v(i,j+1,k)-v(i,j-1,k)
wj=w(i,j+1,k)-w(i,j-1,k)
uk=uu(i,j,k+1)-uu(i,j,k-1)
vk=v(i,j,k+1)-v(i,j,k-1)
wk=w(i,j,k+1)-w(i,j,k-1)
ix=B%ix0(i,j,k); iy=B%iy0(i,j,k); iz=B%iz0(i,j,k)
jx=B%jx0(i,j,k); jy=B%jy0(i,j,k); jz=B%jz0(i,j,k)
kx=B%kx0(i,j,k); ky=B%ky0(i,j,k); kz=B%kz0(i,j,k)
!----对物理坐标的偏导数----------------------------------------------
ux=ui*ix+uj*jx+uk*kx
vx=vi*ix+vj*jx+vk*kx
wx=wi*ix+wj*jx+wk*kx
uy=ui*iy+uj*jy+uk*ky
vy=vi*iy+vj*jy+vk*ky
wy=wi*iy+wj*jy+wk*ky
uz=ui*iz+uj*jz+uk*kz
vz=vi*iz+vj*jz+vk*kz
wz=wi*iz+wj*jz+wk*kz
!-------------------------------------------------
omiga(i,j,k)=sqrt((wy-vz)**2+(uz-wx)**2+(vx-uy)**2)
enddo
enddo
enddo
!$OMP END PARALLEL DO
!----------------------------------------------------------------------
do ksub=1, B%subface
Bc=> B%bc_msg(ksub)
if(Bc%bc .eq. BC_WALL) then ! Wall boundary
! 沿网格线一维处理（假设网格线垂直壁面）---------------------------------------
if(Bc%face .eq. 1 .or. Bc%face .eq. 4) then ! i+ or i-
allocate(yy(nx),Amu1d(nx),Amut1d(nx),d1d(nx),u1d(nx),omiga1d(nx))
Amut1d=0.d0; Amu1d=0.d0 ! 初始化
if(Bc%face .eq. 1) then
i1=1; i2=0
else
i1=nx-1; i2=nx
endif
do k=Bc%kb,Bc%ke-1
do j=Bc%jb,Bc%je-1
x0=(B%xc(i1,j,k)+B%xc(i2,j,k))*0.5d0
y0=(B%yc(i1,j,k)+B%yc(i2,j,k))*0.5d0
z0=(B%zc(i1,j,k)+B%zc(i2,j,k))*0.5d0
do i=1,nx-1
if(Bc%face .eq. 1) then
i0=i
else
i0=nx-i
endif
yy(i0)=sqrt((B%xc(i,j,k)-x0)**2+(B%yc(i,j,k)-y0)**2+(B%zc(i,j,k)-z0)**2)
u1d(i0)=sqrt(uu(i,j,k)**2+v(i,j,k)**2+w(i,j,k)**2)
d1d(i0)=d(i,j,k)
omiga1d(i0)=omiga(i,j,k)
Amu1d(i0)=B%mu(i,j,k)
enddo
! BL模型（一维）
call BL_model_1d(nx-1,yy,Amu1d,Amut1d,d1d,u1d,omiga1d)
do i=1,nx-1
! 如果一个点处于多条线上，取粘性系数最小的值
if(Bc%face .eq. 1) then
i0=i
else
i0=nx-i
endif
if(flag1(i,j,k) .eq. 0) then
flag1(i,j,k)=1
B%mu_t(i,j,k)=Amut1d(i0)
else
B%mu_t(i,j,k)=min(B%mu_t(i,j,k),Amut1d(i0))
endif
enddo
enddo
enddo
deallocate(yy,Amu1d,Amut1d,d1d,u1d,omiga1d)
! !!! To set Amu_t=0 in the wall 设置虚网格点上的mut(-1)=-mut(1), 以保证壁面上mut=0 (mut=0.5*(mut(-1)+mut(1))
! 设置壁面第1层网格上的湍流粘性系数为0
if(Bc%face .eq. 1) then
B%mu_t(0,Bc%jb:Bc%je-1,Bc%kb:Bc%ke-1)=0.d0
B%mu_t(1,Bc%jb:Bc%je-1,Bc%kb:Bc%ke-1)=0.d0
else
B%mu_t(nx,Bc%jb:Bc%je-1,Bc%kb:Bc%ke-1)=0.d0
B%mu_t(nx-1,Bc%jb:Bc%je-1,Bc%kb:Bc%ke-1)=0.d0
endif
else if(Bc%face .eq. 2 .or. Bc%face .eq. 4) then ! face of j- or j+
allocate(yy(ny),Amu1d(ny),Amut1d(ny),d1d(ny),u1d(ny),omiga1d(ny))
Amut1d=0.d0; Amu1d=0.d0 ! 初始化
if(Bc%face .eq. 2) then
j1=1; j2=0
else
j1=ny-1; j2=ny
endif
do k=Bc%kb,Bc%ke-1
do i=Bc%ib,Bc%ie-1
x0=(B%xc(i,j1,k)+B%xc(i,j2,k))*0.5d0
y0=(B%yc(i,j1,k)+B%yc(i,j2,k))*0.5d0
z0=(B%zc(i,j1,k)+B%zc(i,j2,k))*0.5d0
do j=1,ny-1
if(Bc%face .eq. 2) then
j0=j
else
j0=ny-j
endif
yy(j0)=sqrt((B%xc(i,j,k)-x0)**2+(B%yc(i,j,k)-y0)**2+(B%zc(i,j,k)-z0)**2)
u1d(j0)=sqrt(uu(i,j,k)**2+v(i,j,k)**2+w(i,j,k)**2)
d1d(j0)=d(i,j,k)
omiga1d(j0)=omiga(i,j,k)
Amu1d(j0)=B%mu(i,j,k)
enddo
! BL模型（一维）
call BL_model_1d(ny-1,yy,Amu1d,Amut1d,d1d,u1d,omiga1d)
do j=1,ny-1
! 如果一个点处于多条线上，取粘性系数最小的值
if(Bc%face .eq. 2) then
j0=j
else
j0=ny-j
endif
if(flag1(i,j,k) .eq. 0) then
flag1(i,j,k)=1
B%mu_t(i,j,k)=Amut1d(j0)
else
B%mu_t(i,j,k)=min(B%mu_t(i,j,k),Amut1d(j0))
endif
enddo
enddo
enddo
deallocate(yy,Amu1d,Amut1d,d1d,u1d,omiga1d)
if(Bc%face .eq. 2) then
B%mu_t(Bc%ib:Bc%ie-1, 0, Bc%kb:Bc%ke-1)=0.d0
B%mu_t(Bc%ib:Bc%ie-1, 1, Bc%kb:Bc%ke-1)=0.d0
else
B%mu_t(Bc%ib:Bc%ie-1, ny, Bc%kb:Bc%ke-1)=0.d0
B%mu_t(Bc%ib:Bc%ie-1, ny-1, Bc%kb:Bc%ke-1)=0.d0
endif
else if(Bc%face .eq. 3 .or. Bc%face .eq. 6) then ! face of k- or k+
allocate(yy(nz),Amu1d(nz),Amut1d(nz),d1d(nz),u1d(nz),omiga1d(nz))
Amut1d=0.d0; Amu1d=0.d0 ! 初始化
if(Bc%face .eq. 3) then
k1=1; k2=0
else
k1=nz-1; j2=nz
endif
do j=Bc%jb,Bc%je-1
do i=Bc%ib,Bc%ie-1
x0=(B%xc(i,j,k1)+B%xc(i,j,k2))*0.5d0
y0=(B%yc(i,j,k1)+B%yc(i,j,k2))*0.5d0
z0=(B%zc(i,j,k1)+B%zc(i,j,k2))*0.5d0
do k=1,nz-1
if(Bc%face .eq. 3) then
k0=k
else
k0=nz-k
endif
yy(k0)=sqrt((B%xc(i,j,k)-x0)**2+(B%yc(i,j,k)-y0)**2+(B%zc(i,j,k)-z0)**2)
u1d(k0)=sqrt(uu(i,j,k)**2+v(i,j,k)**2+w(i,j,k)**2)
d1d(k0)=d(i,j,k)
omiga1d(k0)=omiga(i,j,k)
Amu1d(k0)=B%mu(i,j,k)
enddo
! BL模型（一维）
call BL_model_1d(nz-1,yy,Amu1d,Amut1d,d1d,u1d,omiga1d)
do k=1,nz-1
! 如果一个点处于多条线上，取粘性系数最小的值
if(Bc%face .eq. 3) then
k0=k
else
k0=nz-k
endif
if(flag1(i,j,k) .eq. 0) then
flag1(i,j,k)=1
B%mu_t(i,j,k)=Amut1d(k0)
else
B%mu_t(i,j,k)=min(B%mu_t(i,j,k),Amut1d(k0))
endif
enddo
enddo
enddo
deallocate(yy,Amu1d,Amut1d,d1d,u1d,omiga1d)
if(Bc%face .eq. 3) then
B%mu_t(Bc%ib:Bc%ie-1, Bc%jb:Bc%je-1, 0)=0.d0
B%mu_t(Bc%ib:Bc%ie-1, Bc%jb:Bc%je-1, 1)=0.d0
else
B%mu_t(Bc%ib:Bc%ie-1, Bc%jb:Bc%je-1, nz)=0.d0
B%mu_t(Bc%ib:Bc%ie-1, Bc%jb:Bc%je-1, nz-1)=0.d0
endif
endif
endif
enddo
call Amut_boundary(nMesh,mBlock)
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,omiga)
use precision_EC
implicit none
integer ny,j,Iflag
real(PRE_EC),dimension(ny) :: yy, Amu,Amu_t,d,u,omiga
real(PRE_EC),parameter:: AP=26.,Ccp=1.6,Ckleb=0.3,Cwk=0.25d0,AKT=0.4,AK=0.0168 ! Cwk= 1.d0
real(PRE_EC):: Tw,Ret,Fmax,etamax,Udif,etap,FF,Fwak,bl,Fkleb,Visti,Visto
TW=abs(Amu(1)*omiga(1))
do j=1,Ny
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
!----------------------------------
do j=1,Ny
if(u(j) .gt. Udif) Udif=u(j)
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)
endif
! if(FF.gt.Fmax) then
! Fmax=FF
! etamax=yy(j)
! else
! goto 100 ! Find the first peak of F(y) ! 只要第1个峰值
! endif
enddo
100 continue
IFlag=0
Fwak=min(etamax*Fmax,Cwk*etamax*Udif*Udif/Fmax)
do j=1,Ny
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