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sub_filtering.f90
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! filtering data
! Revised by Li Xinliang, 2013-10-4
module filting_Var
use precision_EC
real(PRE_EC), save,pointer,dimension(:,:,:,:):: f,f0 ! 变量
end module Filting_Var
! 高精度滤波（4阶精度）
subroutine Filtering_oneMesh(nMesh)
use Global_Var
use filting_Var
implicit none
integer:: nMesh,mBlock
integer:: i,j,k,m,nx,ny,nz,NVAR1
Type (Block_TYPE),pointer:: B
if(my_id .eq. 0) print*, "filtering ......"
NVAR1=Mesh(nMesh)%NVAR
do mBlock=1,Mesh(nMesh)%Num_Block
B=>Mesh(nMesh)%block(mBlock)
nx=B%nx; ny=B%ny; nz=B%nz
allocate(f(NVAR1,nx,ny,nz),f0(NVAR1,nx,ny,nz))
do k=1,nz
do j=1,ny
do i=1,nx
f(1,i,j,k)= B%U(1,i,j,k) ! d
f(2,i,j,k)= B%U(2,i,j,k)/B%U(1,i,j,k) ! u
f(3,i,j,k)= B%U(3,i,j,k)/B%U(1,i,j,k) ! v
f(4,i,j,k)= B%U(4,i,j,k)/B%U(1,i,j,k) ! w
f(5,i,j,k)=(B%U(5,i,j,k)-0.5d0*B%U(1,i,j,k)*(f(2,i,j,k)**2+f(3,i,j,k)**2+f(4,i,j,k)**2))*(gamma-1.d0) !p
! f(5,i,j,k)=(B%U(5,i,j,k)-0.5d0*B%U(1,i,j,k)*(f(2,i,j,k)**2+f(3,i,j,k)**2+f(4,i,j,k)**2))/(Cv*f(1,i,j,k)) !T
do m=6,NVAR1
f(m,i,j,k)=B%U(m,i,j,k)
enddo
enddo
enddo
enddo
call filter_x3d(nMesh,mBlock)
call filter_y3d(nMesh,mBlock)
call filter_z3d(nMesh,mBlock)
do k=1,nz
do j=1,ny
do i=1,nx
B%U(1,i,j,k)=f(1,i,j,k)
B%U(2,i,j,k)=f(1,i,j,k)*f(2,i,j,k)
B%U(3,i,j,k)=f(1,i,j,k)*f(3,i,j,k)
B%U(4,i,j,k)=f(1,i,j,k)*f(4,i,j,k)
B%U(5,i,j,k)=f(5,i,j,k)/(gamma-1.d0)+0.5d0*f(1,i,j,k)*(f(2,i,j,k)**2+f(3,i,j,k)**2+f(4,i,j,k)**2)
! B%U(5,i,j,k)=Cv*f(1,i,j,k)*f(5,i,j,k)+0.5d0*f(1,i,j,k)*(f(2,i,j,k)**2+f(3,i,j,k)**2+f(4,i,j,k)**2)
do m=6,NVAR1
B%U(m,i,j,k)=f(m,i,j,k)
enddo
enddo
enddo
enddo
deallocate(f,f0)
enddo
end
!---------------------------------------------------
subroutine filter_x3d(nMesh,mBlock)
use Global_Var
use filting_Var
implicit none
integer:: nMesh,mBlock
integer:: i,j,k,m,nx,ny,nz,NVAR1,i1,i2
Type (Block_TYPE),pointer:: B
integer,parameter:: KLP=4 ! 滤波的网格半宽度
real(PRE_EC),parameter:: eps0=1.d-8, a1= 1.d0/2.d0, a2= 9.d0/32.d0, a3=-1.d0/32.d0
real(PRE_EC):: p1,p2,alpha
NVAR1=Mesh(nMesh)%NVAR
B=>Mesh(nMesh)%block(mBlock)
nx=B%nx; ny=B%ny; nz=B%nz
i1=KLP
i2=nx-KLP+1
do k=1,nz
do j=1,ny
do i=1,nx
do m=1,NVAR1
f0(m,i,j,k)=f(m,i,j,k)
enddo
enddo
enddo
enddo
!----Smooth indix
do k=1,nz
do j=1,ny
do i=i1,i2
p1=dabs(f0(5,i+1,j,k)-f0(5,i ,j,k)) ! f(5,:,:,:)=p()
p2=dabs(f0(5,i ,j,k)-f0(5,i-1,j,k))
alpha=0.1d0*min (dabs((p1-p2)/(p1+p2+eps0))**4 , 1.d0)
do m=1,NVAR1
! f(m,i,j,k)=(1.d0-alpha)*f0(m,i,j,k)+ &
! alpha*(a1*f0(m,i,j,k)+a2*(f0(m,i+1,j,k)+f0(m,i-1,j,k))+a3*(f0(m,i+3,j,k)+f0(m,i-3,j,k)))
f(m,i,j,k)=(1.d0-alpha)*f0(m,i,j,k)+ &
alpha*(29.d0/32.d0*f0(m,i,j,k)+1.d0/16.d0*(f0(m,i+1,j,k)+f0(m,i-1,j,k))-1.d0/64.d0*(f0(m,i+2,j,k)+f0(m,i-2,j,k)))
enddo
enddo
enddo
enddo
end
!--------------------------------------------------------------------------
subroutine filter_y3d(nMesh,mBlock)
use Global_Var
use filting_Var
implicit none
integer:: nMesh,mBlock
integer:: i,j,k,m,nx,ny,nz,NVAR1,i1,i2
Type (Block_TYPE),pointer:: B
integer,parameter:: KLP=4 ! 滤波的网格半宽度
real(PRE_EC),parameter:: eps0=1.d-8, a1= 1.d0/2.d0, a2= 9.d0/32.d0, a3=-1.d0/32.d0
real(PRE_EC):: p1,p2,alpha
NVAR1=Mesh(nMesh)%NVAR
B=>Mesh(nMesh)%block(mBlock)
nx=B%nx; ny=B%ny; nz=B%nz
i1=KLP
i2=ny-KLP+1
do k=1,nz
do j=1,ny
do i=1,nx
do m=1,NVAR1
f0(m,i,j,k)=f(m,i,j,k)
enddo
enddo
enddo
enddo
!----Smooth indix
do k=1,nz
do j=i1,i2
do i=1,nx
p1=dabs(f0(5,i,j+1,k)-f0(5,i, j,k)) ! f(5,:,:,:)=p()
p2=dabs(f0(5,i,j, k)-f0(5,i, j-1,k))
alpha=0.1d0*min (dabs((p1-p2)/(p1+p2+eps0))**4 , 1.d0)
do m=1,NVAR1
! f(m,i,j,k)=(1.d0-alpha)*f0(m,i,j,k)+ &
! alpha*(a1*f0(m,i,j,k)+a2*(f0(m,i,j+1,k)+f0(m,i,j-1,k))+a3*(f0(m,i,j+3,k)+f0(m,i,j-3,k)))
f(m,i,j,k)=(1.d0-alpha)*f0(m,i,j,k)+ &
alpha*(29.d0/32.d0*f0(m,i,j,k)+1.d0/16.d0*(f0(m,i,j+1,k)+f0(m,i,j-1,k))-1.d0/64.d0*(f0(m,i,j+2,k)+f0(m,i,j-2,k)))
enddo
enddo
enddo
enddo
end
!--------------------------------------------------------------------------
subroutine filter_z3d(nMesh,mBlock)
use Global_Var
use filting_Var
implicit none
integer:: nMesh,mBlock
integer:: i,j,k,m,nx,ny,nz,NVAR1,i1,i2
Type (Block_TYPE),pointer:: B
integer,parameter:: KLP=4 ! 滤波的网格半宽度
real(PRE_EC),parameter:: eps0=1.d-8, a1= 1.d0/2.d0, a2= 9.d0/32.d0, a3=-1.d0/32.d0
real(PRE_EC):: p1,p2,alpha
NVAR1=Mesh(nMesh)%NVAR
B=>Mesh(nMesh)%block(mBlock)
nx=B%nx; ny=B%ny; nz=B%nz
i1=KLP
i2=nz-KLP+1
do k=1,nz
do j=1,ny
do i=1,nx
do m=1,NVAR1
f0(m,i,j,k)=f(m,i,j,k)
enddo
enddo
enddo
enddo
!----Smooth indix
do k=i1,i2
do j=1,ny
do i=1,nx
p1=dabs(f0(5,i,j,k+1)-f0(5,i, j,k)) ! f(5,:,:,:)=p()
p2=dabs(f0(5,i,j, k)-f0(5,i, j,k-1))
alpha=0.1d0* min (dabs((p1-p2)/(p1+p2+eps0))**4 , 1.d0)
do m=1,NVAR1
! f(m,i,j,k)=(1.d0-alpha)*f0(m,i,j,k)+ &
! alpha*(a1*f0(m,i,j,k)+a2*(f0(m,i,j,k+1)+f0(m,i,j,k-1))+a3*(f0(m,i,j,k+3)+f0(m,i,j,k-3)))
f(m,i,j,k)=(1.d0-alpha)*f0(m,i,j,k)+ &
alpha*(29.d0/32.d0*f0(m,i,j,k)+1.d0/16.d0*(f0(m,i,j,k+1)+f0(m,i,j,k-1))-1.d0/64.d0*(f0(m,i,j,k+2)+f0(m,i,j,k-2)))
enddo
enddo
enddo
enddo
end