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les_models.f90
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les_models.f90
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!################################################################################
!This file is part of Incompact3d.
!
!Incompact3d
!Copyright (c) 2012 Eric Lamballais and Sylvain Laizet
!
! Incompact3d is free software: you can redistribute it and/or modify
! it under the terms of the GNU General Public License as published by
! the Free Software Foundation.
!
! Incompact3d is distributed in the hope that it will be useful,
! but WITHOUT ANY WARRANTY; without even the implied warranty of
! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
! GNU General Public License for more details.
!
! You should have received a copy of the GNU General Public License
! along with the code. If not, see <http://www.gnu.org/licenses/>.
!-------------------------------------------------------------------------------
!-------------------------------------------------------------------------------
! We kindly request that you cite Incompact3d in your publications and
! presentations. The following citations are suggested:
!
! 1-Laizet S. & Lamballais E., 2009, High-order compact schemes for
! incompressible flows: a simple and efficient method with the quasi-spectral
! accuracy, J. Comp. Phys., vol 228 (15), pp 5989-6015
!
! 2-Laizet S. & Li N., 2011, Incompact3d: a powerful tool to tackle turbulence
! problems with up to 0(10^5) computational cores, Int. J. of Numerical
! Methods in Fluids, vol 67 (11), pp 1735-1757
!################################################################################
subroutine init_explicit_les
USE decomp_2d
USE param
implicit none
integer:: j
if(nrank==0) then
write(*,*) ' '
write(*,*) '++++++++++++++++++++++++++++++++'
write(*,*) 'Initializing explicit LES Filter'
if(jLES==2) then
write(*,*) ' Classic Smagorinsky is used ... '
write(*,*) ' Smagorinsky constant = ', smagcst
write(*,*) ' Filter Size / Grid Size = ', FSGS
else if (jLES==3) then
write(*,*) ' Wall-adaptive LES (WALES) is used ... '
else if (jLES==4) then
write(*,*) ' Scale-invariant Dynamic Smagorinsky is used ... '
else if (jLES==5) then
write(*,*) ' Scale-dependent Dynamic Smagorinsky is used ... '
endif
write(*,*) '++++++++++++++++++++++++++++++++'
write(*,*) ' '
endif
if (istret.eq.0) then
del(:)=FSGS*(dx*dy*dz)**(1.0/3.0)
else
do j=1,ny-1
del(j) = FSGS*(dx*(yp(j+1)-yp(j))*dz)**(1.0/3.0)
enddo
del(ny) = del(ny-1)
endif
if (nrank==0) write(*,*) maxval(del)
end subroutine
!************************************************************
!
subroutine smag(ux1,uy1,uz1,gxx1,gyx1,gzx1,gxy1,gyy1,gzy1,gxz1,gyz1,gzz1,&
sxx1,syy1,szz1,sxy1,sxz1,syz1,srt_smag,nut1,ta2,ta3,di1,di2,di3)
!
!************************************************************
USE decomp_2d
USE param
implicit none
real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: ux1,uy1,uz1
real(mytype),dimension(ysize(1),ysize(2),ysize(3)) :: ux2,uy2,uz2
real(mytype),dimension(zsize(1),zsize(2),zsize(3)) :: ux3,uy3,uz3
real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: di1
real(mytype),dimension(ysize(1),ysize(2),ysize(3)) :: ta2,di2
real(mytype),dimension(zsize(1),zsize(2),zsize(3)) :: ta3,di3
real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: sxx1,syy1,szz1,&
sxy1,sxz1,syz1
real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: gxx1,gyx1,gzx1,&
gxy1,gyy1,gzy1,gxz1,gyz1,gzz1
real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: srt_smag,nut1
real(mytype),dimension(ysize(1),ysize(2),ysize(3)) :: syy2,szz2,&
sxy2,syz2,srt_smag2,nut2
real(mytype),dimension(ysize(1),ysize(2),ysize(3)) :: gxy2,gyy2,gzy2,&
gxz2,gyz2,gzz2
real(mytype),dimension(zsize(1),zsize(2),zsize(3)) :: szz3,syz3
real(mytype),dimension(zsize(1),zsize(2),zsize(3)) :: gxz3,gyz3,gzz3
real(mytype) :: smag_constant, y, yplus, delta, length, AR
integer :: i,j,k
srt_smag(:,:,:) = 0.
call derx (gxx1,ux1,di1,sx,ffx,fsx,fwx,xsize(1),xsize(2),xsize(3),0)
call derx (gyx1,uy1,di1,sx,ffxp,fsxp,fwxp,xsize(1),xsize(2),xsize(3),1)
call derx (gzx1,uz1,di1,sx,ffxp,fsxp,fwxp,xsize(1),xsize(2),xsize(3),1)
sxx1(:,:,:) = gxx1(:,:,:)
!WORK Y-PENCILS
call transpose_x_to_y(ux1,ux2)
call transpose_x_to_y(uy1,uy2)
call transpose_x_to_y(uz1,uz2)
call transpose_x_to_y(gyx1,ta2)
call dery (gxy2,ux2,di2,sy,ffyp,fsyp,fwyp,ppy,ysize(1),ysize(2),ysize(3),1)
call dery (gyy2,uy2,di2,sy,ffy,fsy,fwy,ppy,ysize(1),ysize(2),ysize(3),0)
call dery (gzy2,uz2,di2,sy,ffyp,fsyp,fwyp,ppy,ysize(1),ysize(2),ysize(3),1)
sxy2(:,:,:)=0.5*(gxy2(:,:,:)+ta2(:,:,:))
syy2(:,:,:)=gyy2(:,:,:)
!WORK Z-PENCILS
call transpose_y_to_z(ux2,ux3)
call transpose_y_to_z(uy2,uy3)
call transpose_y_to_z(uz2,uz3)
call transpose_y_to_z(gzy2,ta3)
call derz(gxz3,ux3,di3,sz,ffzp,fszp,fwzp,zsize(1),zsize(2),zsize(3),1)
call derz(gyz3,uy3,di3,sz,ffzp,fszp,fwzp,zsize(1),zsize(2),zsize(3),1)
call derz(gzz3,uz3,di3,sz,ffz,fsz,fwz,zsize(1),zsize(2),zsize(3),0)
szz3(:,:,:)=gzz3(:,:,:)
syz3(:,:,:)=0.5*(gyz3(:,:,:)+ta3(:,:,:))
!WORK Y-PENCILS
call transpose_z_to_y(syz3,syz2)
call transpose_z_to_y(szz3,szz2)
call transpose_z_to_y(gxz3,gxz2)
call transpose_z_to_y(gyz3,gyz2)
call transpose_z_to_y(gzz3,gzz2)
!WORK X-PENCILS
call transpose_y_to_x(sxy2,sxy1)
call transpose_y_to_x(syy2,syy1)
call transpose_y_to_x(syz2,syz1)
call transpose_y_to_x(szz2,szz1)
call transpose_y_to_x(gxy2,gxy1)
call transpose_y_to_x(gyy2,gyy1)
call transpose_y_to_x(gzy2,gzy1)
call transpose_y_to_x(gxz2,gxz1)
call transpose_y_to_x(gyz2,gyz1)
call transpose_y_to_x(gzz2,gzz1)
sxz1(:,:,:)=0.5*(gzx1(:,:,:)+gxz1(:,:,:))
srt_smag(:,:,:) = sxx1(:,:,:)*sxx1(:,:,:)+syy1(:,:,:)*syy1(:,:,:) &
+szz1(:,:,:)*szz1(:,:,:)+2.*sxy1(:,:,:)*sxy1(:,:,:) &
+2.*sxz1(:,:,:)*sxz1(:,:,:)+2.*syz1(:,:,:)*syz1(:,:,:)
!if (nrank==0) print *, "srt_smag = ",maxval(srt_smag)
call transpose_x_to_y(srt_smag,srt_smag2)
do k=1,ysize(3)
do j=1,ysize(2)
do i=1,ysize(1)
if(SmagWallDamp.eq.1) then
! Mason & Thomson damping coefficients
if (istret.eq.0) y=(j+ystart(2)-1-1)*dy
if (istret.ne.0) y=yp(j+ystart(2)-1)
smag_constant=(smagcst**(-nSmag)+(k_roughness*(y/del(j)+z_zero/del(j)))**(-nSmag))**(-1./nSmag)
!print *, smag_constant
length=smag_constant*del(j)
else if(SmagWallDamp.eq.2) then
! van Driest damping coefficient
if (istret.eq.0) y=(j+ystart(2)-1-1)*dy
if (istret.ne.0) y=yp(j+ystart(2)-1)
AR=min(dx/dy,dz/dy)
smag_constant=(smagcst**(-nSmag)+(k_roughness*(y+z_zero)/(del(j)*sqrt(2.)*AR**(2./3.)))**(-nSmag))**(-1./nSmag)
!print *, smag_constant
length=smag_constant*del(j)
length=smag_constant*del(j)
else
length=smagcst*del(j)
endif
nut2(i,j,k) = length**2.0*sqrt(2.*srt_smag2(i,j,k))
enddo
enddo
enddo
call transpose_y_to_x(nut2,nut1)
end subroutine smag
!************************************************************
!
subroutine wale(gxx1,gyx1,gzx1,gxy1,gyy1,gzy1,gxz1,gyz1,gzz1,srt_smag,nut1)
!
!************************************************************
USE param
!USE variables
USE decomp_2d
implicit none
real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: gxx1,gyx1,gzx1,&
gxy1,gyy1,gzy1,gxz1,gyz1,gzz1
real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: srt_wale,srt_smag
real(mytype),dimension(ysize(1),ysize(2),ysize(3)) :: srt_wale2,srt_smag2,nut2
real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: sxxd1,syyd1,szzd1,&
sxyd1,sxzd1,syzd1
real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: nut1
integer::i,j,k
do k=1,xsize(3)
do j=1,xsize(2)
do i=1,xsize(1)
sxxd1(i,j,k)=gxx1(i,j,k)*gxx1(i,j,k)+gxy1(i,j,k)*gyx1(i,j,k)+&
gxz1(i,j,k)*gzx1(i,j,k)-(1./3.)*(gxx1(i,j,k)*gxx1(i,j,k)+&
gyy1(i,j,k)*gyy1(i,j,k)+gzz1(i,j,k)*gzz1(i,j,k)+&
2.*gxy1(i,j,k)*gyx1(i,j,k)+2.*gxz1(i,j,k)*gzx1(i,j,k)+&
2.*gzy1(i,j,k)*gyz1(i,j,k))
sxyd1(i,j,k)=0.5*(gxx1(i,j,k)*gxy1(i,j,k)+gxy1(i,j,k)*gyy1(i,j,k)+&
gxz1(i,j,k)*gzy1(i,j,k)+gyx1(i,j,k)*gxx1(i,j,k)+&
gyy1(i,j,k)*gyx1(i,j,k)+gyz1(i,j,k)*gzx1(i,j,k))
sxzd1(i,j,k)=0.5*(gxx1(i,j,k)*gxz1(i,j,k)+gxy1(i,j,k)*gyz1(i,j,k)+&
gxz1(i,j,k)*gzz1(i,j,k)+gzx1(i,j,k)*gxx1(i,j,k)+&
gzy1(i,j,k)*gyx1(i,j,k)+gzz1(i,j,k)*gzx1(i,j,k))
syyd1(i,j,k)=gyx1(i,j,k)*gxy1(i,j,k)+gyy1(i,j,k)*gyy1(i,j,k)+&
gyz1(i,j,k)*gzy1(i,j,k)-(1./3.)*(gxx1(i,j,k)*gxx1(i,j,k)+&
gyy1(i,j,k)*gyy1(i,j,k)+gzz1(i,j,k)*gzz1(i,j,k)+&
2.*gxy1(i,j,k)*gyx1(i,j,k)+2.*gxz1(i,j,k)*gzx1(i,j,k)+&
2.*gzy1(i,j,k)*gyz1(i,j,k))
syzd1(i,j,k)=0.5*(gyx1(i,j,k)*gxz1(i,j,k)+gyy1(i,j,k)*gyz1(i,j,k)+&
gyz1(i,j,k)*gzz1(i,j,k)+gzx1(i,j,k)*gxy1(i,j,k)+&
gzy1(i,j,k)*gyy1(i,j,k)+gzz1(i,j,k)*gzy1(i,j,k))
szzd1(i,j,k)=gzx1(i,j,k)*gxz1(i,j,k)+gzy1(i,j,k)*gyz1(i,j,k)+&
gzz1(i,j,k)*gzz1(i,j,k)-(1./3.)*(gxx1(i,j,k)*gxx1(i,j,k)+&
gyy1(i,j,k)*gyy1(i,j,k)+gzz1(i,j,k)*gzz1(i,j,k)+&
2.*gxy1(i,j,k)*gyx1(i,j,k)+2.*gxz1(i,j,k)*gzx1(i,j,k)+&
2.*gzy1(i,j,k)*gyz1(i,j,k))
srt_wale(i,j,k) = sxxd1(i,j,k)*sxxd1(i,j,k)+syyd1(i,j,k)*syyd1(i,j,k)+&
szzd1(i,j,k)*szzd1(i,j,k)+ 2.*sxyd1(i,j,k)*sxyd1(i,j,k)+ &
2.*sxzd1(i,j,k)*sxzd1(i,j,k)+ 2.*syzd1(i,j,k)*syzd1(i,j,k)
enddo
enddo
enddo
call transpose_x_to_y(srt_smag,srt_smag2)
call transpose_x_to_y(srt_wale,srt_wale2)
do k=1,ysize(3)
do j=1,ysize(2)
do i=1,ysize(1)
nut2(i,j,k)=((walecst*del(j))**(2.0)*srt_wale2(i,j,k)**(3./2.)) &
/(srt_smag2(i,j,k)**(5./2.)+srt_wale2(i,j,k)**(5./4.))
enddo
enddo
enddo
call transpose_y_to_x(nut2,nut1)
end subroutine wale
!!************************************************************
!!
!subroutine dynsmag(ux1,uy1,uz1,ep1,sxx1,syy1,szz1,sxy1,sxz1,syz1,&
!srt_smag,dsmagcst,nut1,di1,ta1,tb1,tc1,td1,ta2,tb2,tc2,td2,te2,tf2,&
!tg2,th2,ti2,di2,ta3,tb3,tc3,td3,te3,tf3,tg3,th3,ti3,di3)
!!
!!************************************************************
!USE param
!!USE variables
!USE decomp_2d
!USE decomp_2d_io
!USE MPI
!
!
!implicit none
!
!TYPE(DECOMP_INFO) :: ph3
!!real(mytype),dimension(1:nx,1:ny,1:nz) :: smagCgbl
!real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: ux1,uy1,uz1,ep1
!real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: di1,ta1,tb1,tc1,td1
!real(mytype),dimension(ysize(1),ysize(2),ysize(3)) :: ta2,tb2,tc2,td2,te2,tf2,tg2,th2,ti2,di2
!real(mytype),dimension(zsize(1),zsize(2),zsize(3)) :: ta3,tb3,tc3,td3,te3,tf3,tg3,th3,ti3,di3
!real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: sxx1,syy1,szz1,&
!sxy1,sxz1,syz1
!real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: nut1,srt_smag
!real(mytype),dimension(ysize(1),ysize(2),ysize(3)) :: nut2,srt_smag2
!real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: uxx1,uyy1,uzz1,&
!uxy1,uxz1,uyz1
!real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: uxx1f,uyy1f,uzz1f,&
!uxy1f,uxz1f,uyz1f,ux1f,uy1f,uz1f
!real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: lxx1,lyy1,lzz1,&
!lxy1,lxz1,lyz1
!real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: gxx1f,gyx1f,gzx1f,&
!gxz1f
!real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: sxx1f,syy1f,szz1f,&
!sxy1f,sxz1f,syz1f
!real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: bbxx1,bbyy1,bbzz1,&
!bbxy1,bbxz1,bbyz1
!real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: axx1,ayy1,azz1,&
!axy1,axz1,ayz1
!real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: axx1f,ayy1f,azz1f,&
!axy1f,axz1f,ayz1f
!real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: mxx1,myy1,mzz1,&
!mxy1,mxz1,myz1
!real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: smagC,smagC1f
!
!real(mytype),dimension(ysize(1),ysize(2),ysize(3)) :: uxx2f,uyy2f,uzz2f,&
!uxy2f,uxz2f,uyz2f,ux2f,uy2f,uz2f
!real(mytype),dimension(ysize(1),ysize(2),ysize(3)) :: gxy2f,gyy2f,gzy2f,&
!gxz2f
!real(mytype),dimension(ysize(1),ysize(2),ysize(3)) :: syy2f,szz2f,&
!sxy2f,syz2f
!real(mytype),dimension(ysize(1),ysize(2),ysize(3)) :: axx2f,ayy2f,azz2f,&
!axy2f,axz2f,ayz2f
!real(mytype),dimension(ysize(1),ysize(2),ysize(3)) :: smagC2f
!
!real(mytype),dimension(zsize(1),zsize(2),zsize(3)) :: uxx3f,uyy3f,uzz3f,&
!uxy3f,uxz3f,uyz3f,ux3f,uy3f,uz3f
!real(mytype),dimension(zsize(1),zsize(2),zsize(3)) :: gxz3f,gyz3f,gzz3f
!real(mytype),dimension(zsize(1),zsize(2),zsize(3)) :: szz3f,syz3f
!real(mytype),dimension(zsize(1),zsize(2),zsize(3)) :: axx3f,ayy3f,azz3f,&
!axy3f,axz3f,ayz3f
!real(mytype),dimension(zsize(1),zsize(2),zsize(3)) :: smagC3f
!real(mytype),dimension(zsize(1),zsize(2),zsize(3)) :: dsmagcst3
!real(mytype),dimension(ysize(1),ysize(2),ysize(3)) :: dsmagcst2
!real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: dsmagcst
!real(mytype),dimension(xsize(2)) :: tmpa1
!real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: dsmagHP1_local
!real(mytype),dimension(ysize(1),ysize(2),ysize(3)) :: dsmagHP2_local,dsmagHP2
!real(mytype) :: smagC1,smagC2,dsmaggbl
!integer::i,j,k,ierror,i2,j2,code
!real(mytype) :: denom ! Denominator in dynamic Smagorinsky
!
!
!uxx1(:,:,:)=ux1(:,:,:)*ux1(:,:,:)
!uyy1(:,:,:)=uy1(:,:,:)*uy1(:,:,:)
!uzz1(:,:,:)=uz1(:,:,:)*uz1(:,:,:)
!uxy1(:,:,:)=ux1(:,:,:)*uy1(:,:,:)
!uxz1(:,:,:)=ux1(:,:,:)*uz1(:,:,:)
!uyz1(:,:,:)=uy1(:,:,:)*uz1(:,:,:)
!
!call filter()
!
!call filx(ux1f,ux1,di1,sx,vx,fiffx,fifx,ficx,fibx,fibbx,filax,&
!fiz1x,fiz2x,xsize(1),xsize(2),xsize(3),0)
!call filx(uy1f,uy1,di1,sx,vx,fiffx,fifx,ficx,fibx,fibbx,filax,&
!fiz1x,fiz2x,xsize(1),xsize(2),xsize(3),0)
!call filx(uz1f,uz1,di1,sx,vx,fiffx,fifx,ficx,fibx,fibbx,filax,&
!fiz1x,fiz2x,xsize(1),xsize(2),xsize(3),0)
!call filx(uxx1f,uxx1,di1,sx,vx,fiffx,fifx,ficx,fibx,fibbx,filax,&
!fiz1x,fiz2x,xsize(1),xsize(2),xsize(3),0)
!call filx(uyy1f,uyy1,di1,sx,vx,fiffx,fifx,ficx,fibx,fibbx,filax,&
!fiz1x,fiz2x,xsize(1),xsize(2),xsize(3),0)
!call filx(uzz1f,uzz1,di1,sx,vx,fiffx,fifx,ficx,fibx,fibbx,filax,&
!fiz1x,fiz2x,xsize(1),xsize(2),xsize(3),0)
!call filx(uxy1f,uxy1,di1,sx,vx,fiffx,fifx,ficx,fibx,fibbx,filax,&
!fiz1x,fiz2x,xsize(1),xsize(2),xsize(3),0)
!call filx(uxz1f,uxz1,di1,sx,vx,fiffx,fifx,ficx,fibx,fibbx,filax,&
!fiz1x,fiz2x,xsize(1),xsize(2),xsize(3),0)
!call filx(uyz1f,uyz1,di1,sx,vx,fiffx,fifx,ficx,fibx,fibbx,filax,&
!fiz1x,fiz2x,xsize(1),xsize(2),xsize(3),0)
!
!call transpose_x_to_y(ux1f,ta2)
!call transpose_x_to_y(uy1f,tb2)
!call transpose_x_to_y(uz1f,tc2)
!call transpose_x_to_y(uxx1f,td2)
!call transpose_x_to_y(uyy1f,te2)
!call transpose_x_to_y(uzz1f,tf2)
!call transpose_x_to_y(uxy1f,tg2)
!call transpose_x_to_y(uxz1f,th2)
!call transpose_x_to_y(uyz1f,ti2)
!
!call fily(ux2f,ta2,di2,sy,vy,fiffy,fify,ficy,&
!fiby,fibby,filay,fiz1y,fiz2y,ysize(1),ysize(2),ysize(3),1)
!call fily(uy2f,tb2,di2,sy,vy,fiffy,fify,ficy,&
!fiby,fibby,filay,fiz1y,fiz2y,ysize(1),ysize(2),ysize(3),1)
!call fily(uz2f,tc2,di2,sy,vy,fiffy,fify,ficy,&
!fiby,fibby,filay,fiz1y,fiz2y,ysize(1),ysize(2),ysize(3),1)
!call fily(uxx2f,td2,di2,sy,vy,fiffy,fify,ficy,&
!fiby,fibby,filay,fiz1y,fiz2y,ysize(1),ysize(2),ysize(3),1)
!call fily(uyy2f,te2,di2,sy,vy,fiffy,fify,ficy,&
!fiby,fibby,filay,fiz1y,fiz2y,ysize(1),ysize(2),ysize(3),1)
!call fily(uzz2f,tf2,di2,sy,vy,fiffy,fify,ficy,&
!fiby,fibby,filay,fiz1y,fiz2y,ysize(1),ysize(2),ysize(3),1)
!call fily(uxy2f,tg2,di2,sy,vy,fiffy,fify,ficy,&
!fiby,fibby,filay,fiz1y,fiz2y,ysize(1),ysize(2),ysize(3),1)
!call fily(uxz2f,th2,di2,sy,vy,fiffy,fify,ficy,&
!fiby,fibby,filay,fiz1y,fiz2y,ysize(1),ysize(2),ysize(3),1)
!call fily(uyz2f,ti2,di2,sy,vy,fiffy,fify,ficy,&
!fiby,fibby,filay,fiz1y,fiz2y,ysize(1),ysize(2),ysize(3),1)
!
!ta2=0.;tb2=0.;tc2=0.
!td2=0.;te2=0.;tf2=0.
!tg2=0.;th2=0.;ti2=0.
!
!!
!call transpose_y_to_z(ux2f,ta3)
!call transpose_y_to_z(uy2f,tb3)
!call transpose_y_to_z(uz2f,tc3)
!call transpose_y_to_z(uxx2f,td3)
!call transpose_y_to_z(uyy2f,te3)
!call transpose_y_to_z(uzz2f,tf3)
!call transpose_y_to_z(uxy2f,tg3)
!call transpose_y_to_z(uxz2f,th3)
!call transpose_y_to_z(uyz2f,ti3)
!
!
!call filz(ux3f,ta3,di3,sz,vz,fiffz,fifz,ficz,fibz,fibbz,filaz,&
!fiz1z,fiz2z,zsize(1),zsize(2),zsize(3),1)
!call filz(uy3f,tb3,di3,sz,vz,fiffz,fifz,ficz,fibz,fibbz,filaz,&
!fiz1z,fiz2z,zsize(1),zsize(2),zsize(3),1)
!call filz(uz3f,tc3,di3,sz,vz,fiffz,fifz,ficz,fibz,fibbz,filaz,&
!fiz1z,fiz2z,zsize(1),zsize(2),zsize(3),1)
!call filz(uxx3f,td3,di3,sz,vz,fiffz,fifz,ficz,fibz,fibbz,filaz,&
!fiz1z,fiz2z,zsize(1),zsize(2),zsize(3),1)
!call filz(uyy3f,te3,di3,sz,vz,fiffz,fifz,ficz,fibz,fibbz,filaz,&
!fiz1z,fiz2z,zsize(1),zsize(2),zsize(3),1)
!call filz(uzz3f,tf3,di3,sz,vz,fiffz,fifz,ficz,fibz,fibbz,filaz,&
!fiz1z,fiz2z,zsize(1),zsize(2),zsize(3),1)
!call filz(uxy3f,tg3,di3,sz,vz,fiffz,fifz,ficz,fibz,fibbz,filaz,&
!fiz1z,fiz2z,zsize(1),zsize(2),zsize(3),1)
!call filz(uxz3f,th3,di3,sz,vz,fiffz,fifz,ficz,fibz,fibbz,filaz,&
!fiz1z,fiz2z,zsize(1),zsize(2),zsize(3),1)
!call filz(uyz3f,ti3,di3,sz,vz,fiffz,fifz,ficz,fibz,fibbz,filaz,&
!fiz1z,fiz2z,zsize(1),zsize(2),zsize(3),1)
!
!ta3=0.;tb3=0.;tc3=0.
!td3=0.;te3=0.;tf3=0.
!tg3=0.;th3=0.;ti3=0.
!
!ux2f=0.;uy2f=0.;uz2f=0.
!call transpose_z_to_y(ux3f,ux2f)
!call transpose_z_to_y(uy3f,uy2f)
!call transpose_z_to_y(uz3f,uz2f)
!call transpose_z_to_y(uxx3f,uxx2f)
!call transpose_z_to_y(uyy3f,uyy2f)
!call transpose_z_to_y(uzz3f,uzz2f)
!call transpose_z_to_y(uxy3f,uxy2f)
!call transpose_z_to_y(uxz3f,uxz2f)
!call transpose_z_to_y(uyz3f,uyz2f)
!
!ux1f=0.;uy1f=0.;uz1f=0.
!call transpose_y_to_x(ux2f,ux1f)
!call transpose_y_to_x(uy2f,uy1f)
!call transpose_y_to_x(uz2f,uz1f)
!call transpose_y_to_x(uxx2f,uxx1f)
!call transpose_y_to_x(uyy2f,uyy1f)
!call transpose_y_to_x(uzz2f,uzz1f)
!call transpose_y_to_x(uxy2f,uxy1f)
!call transpose_y_to_x(uxz2f,uxz1f)
!call transpose_y_to_x(uyz2f,uyz1f)
!
!!Lij tensor OK
!lxx1(:,:,:)=uxx1f(:,:,:)-ux1f(:,:,:)*ux1f(:,:,:)
!lyy1(:,:,:)=uyy1f(:,:,:)-uy1f(:,:,:)*uy1f(:,:,:)
!lzz1(:,:,:)=uzz1f(:,:,:)-uz1f(:,:,:)*uz1f(:,:,:)
!lxy1(:,:,:)=uxy1f(:,:,:)-ux1f(:,:,:)*uy1f(:,:,:)
!lxz1(:,:,:)=uxz1f(:,:,:)-ux1f(:,:,:)*uz1f(:,:,:)
!lyz1(:,:,:)=uyz1f(:,:,:)-uy1f(:,:,:)*uz1f(:,:,:)
!!
!
!call derx (gxx1f,ux1f,di1,sx,ffx,fsx,fwx,xsize(1),xsize(2),xsize(3),0)
!call derx (gyx1f,uy1f,di1,sx,ffx,fsx,fwx,xsize(1),xsize(2),xsize(3),0)
!call derx (gzx1f,uz1f,di1,sx,ffx,fsx,fwx,xsize(1),xsize(2),xsize(3),0)
!
!sxx1f(:,:,:) = gxx1f(:,:,:)
!
!!WORK Y-PENCILS
!call transpose_x_to_y(ux1f,ux2f)
!call transpose_x_to_y(uy1f,uy2f)
!call transpose_x_to_y(uz1f,uz2f)
!call transpose_x_to_y(gyx1f,ta2)
!
!call dery (gxy2f,ux2f,di2,sy,ffy,fsy,fwy,ppy,ysize(1),ysize(2),ysize(3),0)
!call dery (gyy2f,uy2f,di2,sy,ffy,fsy,fwy,ppy,ysize(1),ysize(2),ysize(3),0)
!call dery (gzy2f,uz2f,di2,sy,ffy,fsy,fwy,ppy,ysize(1),ysize(2),ysize(3),0)
!
!sxy2f(:,:,:)=0.5*(gxy2f(:,:,:)+ta2(:,:,:))
!syy2f(:,:,:)=gyy2f(:,:,:)
!
!!WORK Z-PENCILS
!call transpose_y_to_z(ux2f,ux3f)
!call transpose_y_to_z(uy2f,uy3f)
!call transpose_y_to_z(uz2f,uz3f)
!call transpose_y_to_z(gzy2f,ta3)
!
!call derz(gxz3f,ux3f,di3,sz,ffz,fsz,fwz,zsize(1),zsize(2),zsize(3),0)
!call derz(gyz3f,uy3f,di3,sz,ffz,fsz,fwz,zsize(1),zsize(2),zsize(3),0)
!call derz(gzz3f,uz3f,di3,sz,ffz,fsz,fwz,zsize(1),zsize(2),zsize(3),0)
!
!szz3f(:,:,:)=gzz3f(:,:,:)
!syz3f(:,:,:)=0.5*(gyz3f(:,:,:)+ta3(:,:,:))
!
!!WORK Y-PENCILS
!call transpose_z_to_y(syz3f,syz2f)
!call transpose_z_to_y(szz3f,szz2f)
!
!call transpose_z_to_y(gxz3f,gxz2f)
!
!!WORK X-PENCILS
!call transpose_y_to_x(sxy2f,sxy1f)
!call transpose_y_to_x(syy2f,syy1f)
!call transpose_y_to_x(syz2f,syz1f)
!call transpose_y_to_x(szz2f,szz1f)
!
!call transpose_y_to_x(gxz2f,gxz1f)
!
!sxz1f(:,:,:)=0.5*(gzx1f(:,:,:)+gxz1f(:,:,:))
!
!do k=1,xsize(3)
!do j=1,xsize(2)
!do i=1,xsize(1)
!
!!Bij tensor with u test filtered OK
!bbxx1(i,j,k)=-2.*sqrt(2.*(sxx1f(i,j,k)*sxx1f(i,j,k)+&
!syy1f(i,j,k)*syy1f(i,j,k)+&
!szz1f(i,j,k)*szz1f(i,j,k)+&
!2.*sxy1f(i,j,k)*sxy1f(i,j,k)+&
!2.*sxz1f(i,j,k)*sxz1f(i,j,k)+&
!2.*syz1f(i,j,k)*syz1f(i,j,k)))&
!*sxx1f(i,j,k)
!
!bbyy1(i,j,k)=-2.*sqrt(2.*(sxx1f(i,j,k)*sxx1f(i,j,k)+&
!syy1f(i,j,k)*syy1f(i,j,k)+&
!szz1f(i,j,k)*szz1f(i,j,k)+&
!2.*sxy1f(i,j,k)*sxy1f(i,j,k)+&
!2.*sxz1f(i,j,k)*sxz1f(i,j,k)+&
!2.*syz1f(i,j,k)*syz1f(i,j,k)))&
!*syy1f(i,j,k)
!
!bbzz1(i,j,k)=-2.*sqrt(2.*(sxx1f(i,j,k)*sxx1f(i,j,k)+&
!syy1f(i,j,k)*syy1f(i,j,k)+&
!szz1f(i,j,k)*szz1f(i,j,k)+&
!2.*sxy1f(i,j,k)*sxy1f(i,j,k)+&
!2.*sxz1f(i,j,k)*sxz1f(i,j,k)+&
!2.*syz1f(i,j,k)*syz1f(i,j,k)))&
!*szz1f(i,j,k)
!
!bbxy1(i,j,k)=-2.*sqrt(2.*(sxx1f(i,j,k)*sxx1f(i,j,k)+&
!syy1f(i,j,k)*syy1f(i,j,k)+&
!szz1f(i,j,k)*szz1f(i,j,k)+&
!2.*sxy1f(i,j,k)*sxy1f(i,j,k)+&
!2.*sxz1f(i,j,k)*sxz1f(i,j,k)+&
!2.*syz1f(i,j,k)*syz1f(i,j,k)))&
!*sxy1f(i,j,k)
!
!bbxz1(i,j,k)=-2.*sqrt(2.*(sxx1f(i,j,k)*sxx1f(i,j,k)+&
!syy1f(i,j,k)*syy1f(i,j,k)+&
!szz1f(i,j,k)*szz1f(i,j,k)+&
!2.*sxy1f(i,j,k)*sxy1f(i,j,k)+&
!2.*sxz1f(i,j,k)*sxz1f(i,j,k)+&
!2.*syz1f(i,j,k)*syz1f(i,j,k)))&
!*sxz1f(i,j,k)
!
!bbyz1(i,j,k)=-2.*sqrt(2.*(sxx1f(i,j,k)*sxx1f(i,j,k)+&
!syy1f(i,j,k)*syy1f(i,j,k)+&
!szz1f(i,j,k)*szz1f(i,j,k)+&
!2.*sxy1f(i,j,k)*sxy1f(i,j,k)+&
!2.*sxz1f(i,j,k)*sxz1f(i,j,k)+&
!2.*syz1f(i,j,k)*syz1f(i,j,k)))&
!*syz1f(i,j,k)
!!
!
!!Aij tensor with u
!axx1(i,j,k)=-2.*sqrt(2.*(sxx1(i,j,k)*sxx1(i,j,k)+&
!syy1(i,j,k)*syy1(i,j,k)+&
!szz1(i,j,k)*szz1(i,j,k)+&
!2.*sxy1(i,j,k)*sxy1(i,j,k)+&
!2.*sxz1(i,j,k)*sxz1(i,j,k)+&
!2.*syz1(i,j,k)*syz1(i,j,k)))&
!*sxx1(i,j,k)
!
!ayy1(i,j,k)=-2.*sqrt(2.*(sxx1(i,j,k)*sxx1(i,j,k)+&
!syy1(i,j,k)*syy1(i,j,k)+&
!szz1(i,j,k)*szz1(i,j,k)+&
!2.*sxy1(i,j,k)*sxy1(i,j,k)+&
!2.*sxz1(i,j,k)*sxz1(i,j,k)+&
!2.*syz1(i,j,k)*syz1(i,j,k)))&
!*syy1(i,j,k)
!
!azz1(i,j,k)=-2.*sqrt(2.*(sxx1(i,j,k)*sxx1(i,j,k)+&
!syy1(i,j,k)*syy1(i,j,k)+&
!szz1(i,j,k)*szz1(i,j,k)+&
!2.*sxy1(i,j,k)*sxy1(i,j,k)+&
!2.*sxz1(i,j,k)*sxz1(i,j,k)+&
!2.*syz1(i,j,k)*syz1(i,j,k)))&
!*szz1(i,j,k)
!
!axy1(i,j,k)=-2.*sqrt(2.*(sxx1(i,j,k)*sxx1(i,j,k)+&
!syy1(i,j,k)*syy1(i,j,k)+&
!szz1(i,j,k)*szz1(i,j,k)+&
!2.*sxy1(i,j,k)*sxy1(i,j,k)+&
!2.*sxz1(i,j,k)*sxz1(i,j,k)+&
!2.*syz1(i,j,k)*syz1(i,j,k)))&
!*sxy1(i,j,k)
!
!axz1(i,j,k)=-2.*sqrt(2.*(sxx1(i,j,k)*sxx1(i,j,k)+&
!syy1(i,j,k)*syy1(i,j,k)+&
!szz1(i,j,k)*szz1(i,j,k)+&
!2.*sxy1(i,j,k)*sxy1(i,j,k)+&
!2.*sxz1(i,j,k)*sxz1(i,j,k)+&
!2.*syz1(i,j,k)*syz1(i,j,k)))&
!*sxz1(i,j,k)
!
!ayz1(i,j,k)=-2.*sqrt(2.*(sxx1(i,j,k)*sxx1(i,j,k)+&
!syy1(i,j,k)*syy1(i,j,k)+&
!szz1(i,j,k)*szz1(i,j,k)+&
!2.*sxy1(i,j,k)*sxy1(i,j,k)+&
!2.*sxz1(i,j,k)*sxz1(i,j,k)+&
!2.*syz1(i,j,k)*syz1(i,j,k)))&
!*syz1(i,j,k)
!!
!enddo
!enddo
!enddo
!
!call transpose_x_to_y(axx1,ta2)
!call transpose_x_to_y(ayy1,tb2)
!call transpose_x_to_y(azz1,tc2)
!call transpose_x_to_y(axy1,td2)
!call transpose_x_to_y(axz1,te2)
!call transpose_x_to_y(ayz1,tf2)
!
!do j=1,ysize(2)
!ta2(:,j,:) = ta2(:,j,:)*(del(j))**2.
!tb2(:,j,:) = tb2(:,j,:)*(del(j))**2.
!tc2(:,j,:) = tc2(:,j,:)*(del(j))**2.
!td2(:,j,:) = td2(:,j,:)*(del(j))**2.
!te2(:,j,:) = te2(:,j,:)*(del(j))**2.
!tf2(:,j,:) = tf2(:,j,:)*(del(j))**2.
!enddo
!
!call transpose_y_to_x(ta2,axx1)
!call transpose_y_to_x(tb2,ayy1)
!call transpose_y_to_x(tc2,azz1)
!call transpose_y_to_x(td2,axy1)
!call transpose_y_to_x(te2,axz1)
!call transpose_y_to_x(tf2,ayz1)
!
!call transpose_x_to_y(bbxx1,ta2)
!call transpose_x_to_y(bbyy1,tb2)
!call transpose_x_to_y(bbzz1,tc2)
!call transpose_x_to_y(bbxy1,td2)
!call transpose_x_to_y(bbxz1,te2)
!call transpose_x_to_y(bbyz1,tf2)
!
!! Multiply the test filter
!do j=1,ysize(2)
!ta2(:,j,:) = ta2(:,j,:)*(2.*del(j))**2.
!tb2(:,j,:) = tb2(:,j,:)*(2.*del(j))**2.
!tc2(:,j,:) = tc2(:,j,:)*(2.*del(j))**2.
!td2(:,j,:) = td2(:,j,:)*(2.*del(j))**2.
!te2(:,j,:) = te2(:,j,:)*(2.*del(j))**2.
!tf2(:,j,:) = tf2(:,j,:)*(2.*del(j))**2.
!enddo
!
!call transpose_y_to_x(ta2,bbxx1)
!call transpose_y_to_x(tb2,bbyy1)
!call transpose_y_to_x(tc2,bbzz1)
!call transpose_y_to_x(td2,bbxy1)
!call transpose_y_to_x(te2,bbxz1)
!call transpose_y_to_x(tf2,bbyz1)
!
!!Need to filter Aij components
!call filx(axx1f,axx1,di1,sx,vx,fiffx,fifx,ficx,fibx,fibbx,filax,&
!fiz1x,fiz2x,xsize(1),xsize(2),xsize(3),0)
!call filx(ayy1f,ayy1,di1,sx,vx,fiffx,fifx,ficx,fibx,fibbx,filax,&
!fiz1x,fiz2x,xsize(1),xsize(2),xsize(3),0)
!call filx(azz1f,azz1,di1,sx,vx,fiffx,fifx,ficx,fibx,fibbx,filax,&
!fiz1x,fiz2x,xsize(1),xsize(2),xsize(3),0)
!call filx(axy1f,axy1,di1,sx,vx,fiffx,fifx,ficx,fibx,fibbx,filax,&
!fiz1x,fiz2x,xsize(1),xsize(2),xsize(3),0)
!call filx(axz1f,axz1,di1,sx,vx,fiffx,fifx,ficx,fibx,fibbx,filax,&
!fiz1x,fiz2x,xsize(1),xsize(2),xsize(3),0)
!call filx(ayz1f,ayz1,di1,sx,vx,fiffx,fifx,ficx,fibx,fibbx,filax,&
!fiz1x,fiz2x,xsize(1),xsize(2),xsize(3),0)
!
!call transpose_x_to_y(axx1f,ta2)
!call transpose_x_to_y(ayy1f,tb2)
!call transpose_x_to_y(azz1f,tc2)
!call transpose_x_to_y(axy1f,td2)
!call transpose_x_to_y(axz1f,te2)
!call transpose_x_to_y(ayz1f,tf2)
!
!call fily(axx2f,ta2,di2,sy,vy,fiffy,fify,ficy,&
!fiby,fibby,filay,fiz1y,fiz2y,ysize(1),ysize(2),ysize(3),1)
!call fily(ayy2f,tb2,di2,sy,vy,fiffy,fify,ficy,&
!fiby,fibby,filay,fiz1y,fiz2y,ysize(1),ysize(2),ysize(3),1)
!call fily(azz2f,tc2,di2,sy,vy,fiffy,fify,ficy,&
!fiby,fibby,filay,fiz1y,fiz2y,ysize(1),ysize(2),ysize(3),1)
!call fily(axy2f,td2,di2,sy,vy,fiffy,fify,ficy,&
!fiby,fibby,filay,fiz1y,fiz2y,ysize(1),ysize(2),ysize(3),1)
!call fily(axz2f,te2,di2,sy,vy,fiffy,fify,ficy,&
!fiby,fibby,filay,fiz1y,fiz2y,ysize(1),ysize(2),ysize(3),1)
!call fily(ayz2f,tf2,di2,sy,vy,fiffy,fify,ficy,&
!fiby,fibby,filay,fiz1y,fiz2y,ysize(1),ysize(2),ysize(3),1)
!
!ta2=0.;tb2=0.;tc2=0.
!td2=0.;te2=0.;tf2=0.
!
!call transpose_y_to_z(axx2f,ta3)
!call transpose_y_to_z(ayy2f,tb3)
!call transpose_y_to_z(azz2f,tc3)
!call transpose_y_to_z(axy2f,td3)
!call transpose_y_to_z(axz2f,te3)
!call transpose_y_to_z(ayz2f,tf3)
!
!call filz(axx3f,ta3,di3,sz,vz,fiffz,fifz,ficz,fibz,fibbz,filaz,&
!fiz1z,fiz2z,zsize(1),zsize(2),zsize(3),1)
!call filz(ayy3f,tb3,di3,sz,vz,fiffz,fifz,ficz,fibz,fibbz,filaz,&
!fiz1z,fiz2z,zsize(1),zsize(2),zsize(3),1)
!call filz(azz3f,tc3,di3,sz,vz,fiffz,fifz,ficz,fibz,fibbz,filaz,&
!fiz1z,fiz2z,zsize(1),zsize(2),zsize(3),1)
!call filz(axy3f,td3,di3,sz,vz,fiffz,fifz,ficz,fibz,fibbz,filaz,&
!fiz1z,fiz2z,zsize(1),zsize(2),zsize(3),1)
!call filz(axz3f,te3,di3,sz,vz,fiffz,fifz,ficz,fibz,fibbz,filaz,&
!fiz1z,fiz2z,zsize(1),zsize(2),zsize(3),1)
!call filz(ayz3f,tf3,di3,sz,vz,fiffz,fifz,ficz,fibz,fibbz,filaz,&
!fiz1z,fiz2z,zsize(1),zsize(2),zsize(3),1)
!
!ta3=0.;tb3=0.;tc3=0.
!td3=0.;te3=0.;tf3=0.
!
!call transpose_z_to_y(axx3f,axx2f)
!call transpose_z_to_y(ayy3f,ayy2f)
!call transpose_z_to_y(azz3f,azz2f)
!call transpose_z_to_y(axy3f,axy2f)
!call transpose_z_to_y(axz3f,axz2f)
!call transpose_z_to_y(ayz3f,ayz2f)
!
!call transpose_y_to_x(axx2f,axx1f)
!call transpose_y_to_x(ayy2f,ayy1f)
!call transpose_y_to_x(azz2f,azz1f)
!call transpose_y_to_x(axy2f,axy1f)
!call transpose_y_to_x(axz2f,axz1f)
!call transpose_y_to_x(ayz2f,ayz1f)
!
!!Mij tensor OK
!mxx1(:,:,:)=bbxx1(:,:,:)-axx1f(:,:,:)
!myy1(:,:,:)=bbyy1(:,:,:)-ayy1f(:,:,:)
!mzz1(:,:,:)=bbzz1(:,:,:)-azz1f(:,:,:)
!mxy1(:,:,:)=bbxy1(:,:,:)-axy1f(:,:,:)
!mxz1(:,:,:)=bbxz1(:,:,:)-axz1f(:,:,:)
!myz1(:,:,:)=bbyz1(:,:,:)-ayz1f(:,:,:)
!!
!
!!Lij deviator
!lxx1(:,:,:)=lxx1(:,:,:)-(lxx1(:,:,:)+lyy1(:,:,:)+lzz1(:,:,:))/3.
!lyy1(:,:,:)=lyy1(:,:,:)-(lxx1(:,:,:)+lyy1(:,:,:)+lzz1(:,:,:))/3.
!lzz1(:,:,:)=lzz1(:,:,:)-(lxx1(:,:,:)+lyy1(:,:,:)+lzz1(:,:,:))/3.
!
!if(itime==1) then
!dsmagHP1_local(:,j,:)=0.1
!else
!! Make sure it is zero before starting computing
!smagC = 0.
!
!do k=1,xsize(3)
!do j=1,xsize(2)
!do i=1,xsize(1)
!
!smagC(i,j,k)=(lxx1(i,j,k)*mxx1(i,j,k)+&
!lyy1(i,j,k)*myy1(i,j,k)+&
!lzz1(i,j,k)*mzz1(i,j,k)+&
!2.*lxy1(i,j,k)*mxy1(i,j,k)+&
!2.*lxz1(i,j,k)*mxz1(i,j,k)+&
!2.*lyz1(i,j,k)*myz1(i,j,k))/&
!(mxx1(i,j,k)*mxx1(i,j,k)+&
!myy1(i,j,k)*myy1(i,j,k)+&
!mzz1(i,j,k)*mzz1(i,j,k)+&
!2.*mxy1(i,j,k)*mxy1(i,j,k)+&
!2.*mxz1(i,j,k)*mxz1(i,j,k)+&
!2.*myz1(i,j,k)*myz1(i,j,k))
!
!enddo
!enddo
!enddo
!
!!FILTERING THE NON-CONSTANT CONSTANT
!!call filx(smagC1f,smagC,di1,sx,vx,fiffx,fifx,ficx,fibx,fibbx,filax,&
!!fiz1x,fiz2x,xsize(1),xsize(2),xsize(3),0)
!!
!!call transpose_x_to_y(smagC1f,ta2)
!!
!!call fily(smagC2f,ta2,di2,sy,vy,fiffy,fify,ficy,&
!!fiby,fibby,filay,fiz1y,fiz2y,ysize(1),ysize(2),ysize(3),1)
!!
!!ta2=0.
!!call transpose_y_to_z(smagC2f,ta3)
!!
!!call filz(smagC3f,ta3,di3,sz,vz,fiffz,fifz,ficz,fibz,fibbz,filaz,&
!!fiz1z,fiz2z,zsize(1),zsize(2),zsize(3),1)
!!ta3=0.
!!
!!call transpose_z_to_y(smagC3f,smagC2f)
!!call transpose_y_to_x(smagC2f,smagC)
!
!
!! What sort of averaging do we want ?
!! Average coefficient within a horizontal plane
!
!tmpa1=0.
!
!do j=1,xsize(2)
! do k=1,xsize(3)
! do i=1,xsize(1)
! tmpa1(j)=tmpa1(j)+smagC(i,j,k)
! enddo
! enddo
!! DO the averaging
!dsmagHP1_local(:,j,:)=tmpa1(j)/xsize(1)/xsize(3)
!enddo
!endif
!
!! Do the transpose to go to the y pencil
!call transpose_x_to_y(dsmagHP1_local,dsmagHP2_local)
!call transpose_x_to_y(srt_smag,srt_smag2)
!
!call MPI_ALLREDUCE(dsmagHP2_local,dsmagHP2,ysize(2),real_type,MPI_SUM,MPI_COMM_WORLD,code)
!
!dsmagHP2(:,:,:)=dsmagHP2(:,:,:)/(p_col*p_row)
!
!if (nrank==0) print*,"Max and Min of the Dynamic Smagorinsky Constant = ",maxval(dsmagHP2), minval(dsmagHP2)
!do k=1,ysize(3)
!do j=1,ysize(2)
!do i=1,ysize(1)
!nut2(i,j,k)=(dsmagHP2(i,j,k)*del(j))**2.0*sqrt(2.*srt_smag2(i,j,k))
!enddo
!enddo
!enddo
!
!call transpose_y_to_x(nut2,nut1)
!
!return
!
!end subroutine dynsmag
subroutine compute_sgs(ux1, uy1, uz1, ep1, sxx1, syy1, szz1, sxy1, sxz1, syz1, nut1, &
sgsx1, sgsy1, sgsz1, ta1, tb1, tc1, td1, te1, tf1, di1, tb2, tc2, td2, te2, tf2, di2, &
tc3, te3, tf3, di3)
USE param
USE decomp_2d
implicit none
! Inputs
real(mytype), dimension(xsize(1), xsize(2), xsize(3)) :: ux1, uy1, uz1, nut1, ep1
real(mytype), dimension(xsize(1), xsize(2), xsize(3)) :: sxx1, syy1, szz1, sxy1, sxz1, syz1
real(mytype), dimension(xsize(1), xsize(2), xsize(3)) :: ta1, tb1, tc1, td1, te1, tf1, di1
real(mytype), dimension(ysize(1), ysize(2), ysize(3)) :: tb2, td2, te2, tc2, tf2, di2
real(mytype), dimension(zsize(1), zsize(2), zsize(3)) :: tc3, te3, tf3, di3
! Outputs
real(mytype), dimension(xsize(1), xsize(2), xsize(3)) :: sgsx1, sgsy1, sgsz1
! Auxilliary variables
real(mytype), dimension(xsize(1), xsize(2), xsize(3)) :: gxx1, gyx1, gzx1
real(mytype), dimension(ysize(1), ysize(2), ysize(3)) :: gxy2, gyy2, gzy2
real(mytype), dimension(zsize(1), zsize(2), zsize(3)) :: gxz3, gyz3, gzz3
real(mytype), dimension(xsize(1), xsize(2), xsize(3)) :: gxx1f, gyx1f, gzx1f
real(mytype), dimension(ysize(1), ysize(2), ysize(3)) :: gxy2f, gyy2f, gzy2f
real(mytype), dimension(zsize(1), zsize(2), zsize(3)) :: gxz3f, gyz3f, gzz3f
real(mytype), dimension(ysize(1), ysize(2), ysize(3)) :: sgsx2, sgsy2, sgsz2
real(mytype), dimension(zsize(1), zsize(2), zsize(3)) :: sgsx3, sgsy3, sgsz3
real(mytype),dimension(xsize(1),xsize(3)) :: tauwallxy1, tauwallzy1
real(mytype) :: delta
integer :: i,j,k
sgsx1=0.; sgsy1=0.; sgsz1=0.;
ta1=0.; tb1=0.; tc1=0.; td1=0.; te1=0.;tf1=0.
! Compute tauD
! tau_ij=-2. nu_T S_ij
ta1(:,:,:)=-2.*nut1(:,:,:)*sxx1(:,:,:) ! tau_xx
tb1(:,:,:)=-2.*nut1(:,:,:)*sxy1(:,:,:) ! tau_xy, tau_yx
tc1(:,:,:)=-2.*nut1(:,:,:)*sxz1(:,:,:) ! tau_xz, tau_zx
td1(:,:,:)=-2.*nut1(:,:,:)*syy1(:,:,:) ! tau_yy
te1(:,:,:)=-2.*nut1(:,:,:)*syz1(:,:,:) ! tau_yz, tau_zy
tf1(:,:,:)=-2.*nut1(:,:,:)*szz1(:,:,:) ! tau_zz
! Apply boundary conditions for tau
! Apply the wall-stress model for ABL
if(iabl==1) then
call wall_shear_stress(ux1,uy1,uz1,di1,tauwallxy1,tauwallzy1)
if(xstart(2)==1) then
do k=1,xsize(3)
do i=1,xsize(1)
ta1(i,1,k)=0.
tb1(i,1,k)=tauwallxy1(i,k)
tc1(i,1,k)=0.
td1(i,1,k)=0.
te1(i,1,k)=tauwallzy1(i,k)
tf1(i,1,k)=0.
enddo
enddo
endif
endif
! Take the derivatives for x
call derx (gxx1, ta1, di1, sx, ffx, fsx, fwx, xsize(1), xsize(2), xsize(3), 0)
call derx (gyx1, tb1, di1, sx, ffx, fsx, fwx, xsize(1), xsize(2), xsize(3), 0)
call derx (gzx1, tc1, di1, sx, ffx, fsx, fwx, xsize(1), xsize(2), xsize(3), 0)
! filter the sgs?
call filter(0.48d0)
call filx(gxx1f,gxx1,di1,fisx,fiffx,fifsx,fifwx,xsize(1),xsize(2),xsize(3),0)
call filx(gyx1f,gyx1,di1,fisx,fiffx,fifsx,fifwx,xsize(1),xsize(2),xsize(3),0)
call filx(gzx1f,gzx1,di1,fisx,fiffx,fifsx,fifwx,xsize(1),xsize(2),xsize(3),0)
! Add to the SGS
sgsx1(:,:,:)=sgsx1(:,:,:)-gxx1f(:,:,:)
sgsy1(:,:,:)=sgsy1(:,:,:)-gyx1f(:,:,:)
sgsz1(:,:,:)=sgsz1(:,:,:)-gzx1f(:,:,:)
! transpose to Y-pencil
call transpose_x_to_y(sgsx1, sgsx2)
call transpose_x_to_y(sgsy1, sgsy2)
call transpose_x_to_y(sgsz1, sgsz2)
call transpose_x_to_y(tb1, tb2)
call transpose_x_to_y(tc1, tc2)
call transpose_x_to_y(td1, td2)
call transpose_x_to_y(te1, te2)
call transpose_x_to_y(tf1, tf2)
call dery (gxy2,tb2,di2,sy,ffy,fsy,fwy,ppy,ysize(1),ysize(2),ysize(3),0)
call dery (gyy2,td2,di2,sy,ffy,fsy,fwy,ppy,ysize(1),ysize(2),ysize(3),0)
call dery (gzy2,tf2,di2,sy,ffy,fsy,fwy,ppy,ysize(1),ysize(2),ysize(3),1)
sgsx2(:,:,:)=sgsx2(:,:,:)-gxy2(:,:,:)
sgsy2(:,:,:)=sgsy2(:,:,:)-gyy2(:,:,:)
sgsz2(:,:,:)=sgsz2(:,:,:)-gzy2(:,:,:)
! transpose to Z-pencil
call transpose_y_to_z(sgsx2, sgsx3)
call transpose_y_to_z(sgsy2, sgsy3)
call transpose_y_to_z(sgsz2, sgsz3)
call transpose_y_to_z(tc2, tc3)
call transpose_y_to_z(te2, te3)
call transpose_y_to_z(tf2, tf3)
call derz(gxz3,tc3,di3,sz,ffz,fsz,fwz,zsize(1),zsize(2),zsize(3),0)
call derz(gyz3,te3,di3,sz,ffz,fsz,fwz,zsize(1),zsize(2),zsize(3),0)
call derz(gzz3,tf3,di3,sz,ffz,fsz,fwz,zsize(1),zsize(2),zsize(3),0)
call filz(gxz3f,gxz3,di3,fisz,fiffz,fifsz,fifwz,zsize(1),zsize(2),zsize(3),0)
call filz(gyz3f,gyz3,di3,fisz,fiffz,fifsz,fifwz,zsize(1),zsize(2),zsize(3),0)
call filz(gzz3f,gzz3,di3,fisz,fiffz,fifsz,fifwz,zsize(1),zsize(2),zsize(3),0)
sgsx3(:,:,:)=sgsx3(:,:,:)-gxz3(:,:,:)
sgsy3(:,:,:)=sgsy3(:,:,:)-gyz3(:,:,:)
sgsz3(:,:,:)=sgsz3(:,:,:)-gzz3(:,:,:)
call transpose_z_to_y(sgsx3, sgsx2)
call transpose_z_to_y(sgsy3, sgsy2)
call transpose_z_to_y(sgsz3, sgsz2)
call transpose_y_to_x(sgsx2, sgsx1)
call transpose_y_to_x(sgsy2, sgsy1)
call transpose_y_to_x(sgsz2, sgsz1)
return
end subroutine compute_sgs
!************************************************************
!
subroutine lesdiff(ux1,uy1,uz1,phi1,gxx1,gyy1,gzz1,gxy1,gxz1,gyz1,gyx1,gzx1,gzy1,nut1,&
sgsx1,sgsy1,sgsz1,ep1,ta1,td1,te1,tf1,di1,ta2,td2,te2,tf2,tj2,di2,&
ta3,td3,te3,tf3,di3)
!
!************************************************************
USE param
USE decomp_2d
implicit none
real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: ux1,uy1,uz1,phi1,nut1,ep1