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convdiff.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 convdiff(ux1,uy1,uz1,ta1,tb1,tc1,td1,te1,tf1,tg1,th1,ti1,di1,&
ux2,uy2,uz2,ta2,tb2,tc2,td2,te2,tf2,tg2,th2,ti2,tj2,di2,&
ux3,uy3,uz3,ta3,tb3,tc3,td3,te3,tf3,tg3,th3,ti3,di3,FZ_P,FY_P,FY_N,FZ_N) !! omar
!
!********************************************************************
USE param
USE variables
USE decomp_2d
implicit none
real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: ux1,uy1,uz1
real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: ta1,tb1,tc1,td1,te1,tf1,tg1,th1,ti1,di1
real(mytype),dimension(ysize(1),ysize(2),ysize(3)) :: ux2,uy2,uz2
real(mytype),dimension(ysize(1),ysize(2),ysize(3)) :: ta2,tb2,tc2,td2,te2,tf2,tg2,th2,ti2,tj2,di2
real(mytype),dimension(zsize(1),zsize(2),zsize(3)) :: ux3,uy3,uz3
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)) :: FZ_P,FY_P,FY_N,FZ_N !! omar
integer :: ijk,nvect1,nvect2,nvect3,i,j,k
real(mytype) :: x,y,z
nvect1=xsize(1)*xsize(2)*xsize(3)
nvect2=ysize(1)*ysize(2)*ysize(3)
nvect3=zsize(1)*zsize(2)*zsize(3)
if (iskew==0) then !UROTU!
!WORK X-PENCILS
call derx (ta1,uy1,di1,sx,ffxp,fsxp,fwxp,xsize(1),xsize(2),xsize(3),1)
call derx (tb1,uz1,di1,sx,ffxp,fsxp,fwxp,xsize(1),xsize(2),xsize(3),1)
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(ta1,ta2)
call transpose_x_to_y(tb1,tb2)
!WORK Y-PENCILS
call dery (tc2,ux2,di2,sy,ffyp,fsyp,fwyp,ppy,ysize(1),ysize(2),ysize(3),1)
call dery (td2,uz2,di2,sy,ffyp,fsyp,fwyp,ppy,ysize(1),ysize(2),ysize(3),1)
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(ta2,ta3)
call transpose_y_to_z(tb2,tb3)
call transpose_y_to_z(tc2,tc3)
call transpose_y_to_z(td2,td3)
!WORK Z-PENCILS
call derz (te3,ux3,di3,sz,ffzp,fszp,fwzp,zsize(1),zsize(2),zsize(3),1)
call derz (tf3,uy3,di3,sz,ffzp,fszp,fwzp,zsize(1),zsize(2),zsize(3),1)
do ijk=1,nvect3
ta3(ijk,1,1)=uz3(ijk,1,1)*(te3(ijk,1,1)-tb3(ijk,1,1))-&
uy3(ijk,1,1)*(ta3(ijk,1,1)-tc3(ijk,1,1))
tb3(ijk,1,1)=ux3(ijk,1,1)*(ta3(ijk,1,1)-tc3(ijk,1,1))-&
uz3(ijk,1,1)*(td3(ijk,1,1)-tf3(ijk,1,1))
tc3(ijk,1,1)=uy3(ijk,1,1)*(td3(ijk,1,1)-tf3(ijk,1,1))-&
ux3(ijk,1,1)*(te3(ijk,1,1)-tb3(ijk,1,1))
enddo
else !SKEW!
!WORK X-PENCILS
do ijk=1,nvect1
ta1(ijk,1,1)=ux1(ijk,1,1)*ux1(ijk,1,1)
tb1(ijk,1,1)=ux1(ijk,1,1)*uy1(ijk,1,1)
tc1(ijk,1,1)=ux1(ijk,1,1)*uz1(ijk,1,1)
enddo
call derx (td1,ta1,di1,sx,ffxp,fsxp,fwxp,xsize(1),xsize(2),xsize(3),1)
call derx (te1,tb1,di1,sx,ffx,fsx,fwx,xsize(1),xsize(2),xsize(3),0)
call derx (tf1,tc1,di1,sx,ffx,fsx,fwx,xsize(1),xsize(2),xsize(3),0)
call derx (ta1,ux1,di1,sx,ffx,fsx,fwx,xsize(1),xsize(2),xsize(3),0)
call derx (tb1,uy1,di1,sx,ffxp,fsxp,fwxp,xsize(1),xsize(2),xsize(3),1)
call derx (tc1,uz1,di1,sx,ffxp,fsxp,fwxp,xsize(1),xsize(2),xsize(3),1)
do ijk=1,nvect1
ta1(ijk,1,1)=0.5*td1(ijk,1,1)+0.5*ux1(ijk,1,1)*ta1(ijk,1,1)
tb1(ijk,1,1)=0.5*te1(ijk,1,1)+0.5*ux1(ijk,1,1)*tb1(ijk,1,1)
tc1(ijk,1,1)=0.5*tf1(ijk,1,1)+0.5*ux1(ijk,1,1)*tc1(ijk,1,1)
enddo
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(ta1,ta2)
call transpose_x_to_y(tb1,tb2)
call transpose_x_to_y(tc1,tc2)
!WORK Y-PENCILS
do ijk=1,nvect2
td2(ijk,1,1)=ux2(ijk,1,1)*uy2(ijk,1,1)
te2(ijk,1,1)=uy2(ijk,1,1)*uy2(ijk,1,1)
tf2(ijk,1,1)=uz2(ijk,1,1)*uy2(ijk,1,1)
enddo
call dery (tg2,td2,di2,sy,ffy,fsy,fwy,ppy,ysize(1),ysize(2),ysize(3),0)
call dery (th2,te2,di2,sy,ffyp,fsyp,fwyp,ppy,ysize(1),ysize(2),ysize(3),1)
call dery (ti2,tf2,di2,sy,ffy,fsy,fwy,ppy,ysize(1),ysize(2),ysize(3),0)
call dery (td2,ux2,di2,sy,ffyp,fsyp,fwyp,ppy,ysize(1),ysize(2),ysize(3),1)
call dery (te2,uy2,di2,sy,ffy,fsy,fwy,ppy,ysize(1),ysize(2),ysize(3),0)
call dery (tf2,uz2,di2,sy,ffyp,fsyp,fwyp,ppy,ysize(1),ysize(2),ysize(3),1)
do ijk=1,nvect2
ta2(ijk,1,1)=ta2(ijk,1,1)+0.5*tg2(ijk,1,1)+0.5*uy2(ijk,1,1)*td2(ijk,1,1)
tb2(ijk,1,1)=tb2(ijk,1,1)+0.5*th2(ijk,1,1)+0.5*uy2(ijk,1,1)*te2(ijk,1,1)
tc2(ijk,1,1)=tc2(ijk,1,1)+0.5*ti2(ijk,1,1)+0.5*uy2(ijk,1,1)*tf2(ijk,1,1)
enddo
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(ta2,ta3)
call transpose_y_to_z(tb2,tb3)
call transpose_y_to_z(tc2,tc3)
!WORK Z-PENCILS
do ijk=1,nvect3
td3(ijk,1,1)=ux3(ijk,1,1)*uz3(ijk,1,1)
te3(ijk,1,1)=uy3(ijk,1,1)*uz3(ijk,1,1)
tf3(ijk,1,1)=uz3(ijk,1,1)*uz3(ijk,1,1)
enddo
call derz (tg3,td3,di3,sz,ffz,fsz,fwz,zsize(1),zsize(2),zsize(3),0)
call derz (th3,te3,di3,sz,ffz,fsz,fwz,zsize(1),zsize(2),zsize(3),0)
call derz (ti3,tf3,di3,sz,ffzp,fszp,fwzp,zsize(1),zsize(2),zsize(3),1)
call derz (td3,ux3,di3,sz,ffzp,fszp,fwzp,zsize(1),zsize(2),zsize(3),1)
call derz (te3,uy3,di3,sz,ffzp,fszp,fwzp,zsize(1),zsize(2),zsize(3),1)
call derz (tf3,uz3,di3,sz,ffz,fsz,fwz,zsize(1),zsize(2),zsize(3),0)
do ijk=1,nvect3
ta3(ijk,1,1)=ta3(ijk,1,1)+0.5*tg3(ijk,1,1)+0.5*uz3(ijk,1,1)*td3(ijk,1,1)
tb3(ijk,1,1)=tb3(ijk,1,1)+0.5*th3(ijk,1,1)+0.5*uz3(ijk,1,1)*te3(ijk,1,1)
tc3(ijk,1,1)=tc3(ijk,1,1)+0.5*ti3(ijk,1,1)+0.5*uz3(ijk,1,1)*tf3(ijk,1,1)
enddo
endif
!ALL THE CONVECTIVE TERMS ARE IN TA3, TB3 and TC3
td3(:,:,:)=ta3(:,:,:)
te3(:,:,:)=tb3(:,:,:)
tf3(:,:,:)=tc3(:,:,:)
!DIFFUSIVE TERMS IN Z
call derzz (ta3,ux3,di3,sz,sfzp,sszp,swzp,zsize(1),zsize(2),zsize(3),1)
call derzz (tb3,uy3,di3,sz,sfzp,sszp,swzp,zsize(1),zsize(2),zsize(3),1)
call derzz (tc3,uz3,di3,sz,sfz ,ssz ,swz ,zsize(1),zsize(2),zsize(3),0)
!WORK Y-PENCILS
call transpose_z_to_y(ta3,ta2)
call transpose_z_to_y(tb3,tb2)
call transpose_z_to_y(tc3,tc2)
call transpose_z_to_y(td3,td2)
call transpose_z_to_y(te3,te2)
call transpose_z_to_y(tf3,tf2)
tg2(:,:,:)=td2(:,:,:)
th2(:,:,:)=te2(:,:,:)
ti2(:,:,:)=tf2(:,:,:)
!DIFFUSIVE TERMS IN Y
!-->for ux
if (istret.ne.0) then
call deryy (td2,ux2,di2,sy,sfyp,ssyp,swyp,ysize(1),ysize(2),ysize(3),1)
call dery (te2,ux2,di2,sy,ffyp,fsyp,fwyp,ppy,ysize(1),ysize(2),ysize(3),1)
do k=1,ysize(3)
do j=1,ysize(2)
do i=1,ysize(1)
td2(i,j,k)=td2(i,j,k)*pp2y(j)-pp4y(j)*te2(i,j,k)
enddo
enddo
enddo
else
call deryy (td2,ux2,di2,sy,sfyp,ssyp,swyp,ysize(1),ysize(2),ysize(3),1)
endif
!-->for uy
if (istret.ne.0) then
call deryy (te2,uy2,di2,sy,sfy,ssy,swy,ysize(1),ysize(2),ysize(3),0)
call dery (tf2,uy2,di2,sy,ffy,fsy,fwy,ppy,ysize(1),ysize(2),ysize(3),0)
do k=1,ysize(3)
do j=1,ysize(2)
do i=1,ysize(1)
te2(i,j,k)=te2(i,j,k)*pp2y(j)-pp4y(j)*tf2(i,j,k)
enddo
enddo
enddo
else
call deryy (te2,uy2,di2,sy,sfy,ssy,swy,ysize(1),ysize(2),ysize(3),0)
endif
!-->for uz
if (istret.ne.0) then
call deryy (tf2,uz2,di2,sy,sfyp,ssyp,swyp,ysize(1),ysize(2),ysize(3),1)
call dery (tj2,uz2,di2,sy,ffyp,fsyp,fwyp,ppy,ysize(1),ysize(2),ysize(3),1)
do k=1,ysize(3)
do j=1,ysize(2)
do i=1,ysize(1)
tf2(i,j,k)=tf2(i,j,k)*pp2y(j)-pp4y(j)*tj2(i,j,k)
enddo
enddo
enddo
else
call deryy (tf2,uz2,di2,sy,sfyp,ssyp,swyp,ysize(1),ysize(2),ysize(3),1)
endif
ta2(:,:,:)=ta2(:,:,:)+td2(:,:,:)
tb2(:,:,:)=tb2(:,:,:)+te2(:,:,:)
tc2(:,:,:)=tc2(:,:,:)+tf2(:,:,:)
!WORK X-PENCILS
call transpose_y_to_x(ta2,ta1)
call transpose_y_to_x(tb2,tb1)
call transpose_y_to_x(tc2,tc1) !diff
call transpose_y_to_x(tg2,td1)
call transpose_y_to_x(th2,te1)
call transpose_y_to_x(ti2,tf1) !conv
tg1(:,:,:)=td1(:,:,:)
th1(:,:,:)=te1(:,:,:)
ti1(:,:,:)=tf1(:,:,:)
!DIFFUSIVE TERMS IN X
call derxx (td1,ux1,di1,sx,sfx ,ssx ,swx ,xsize(1),xsize(2),xsize(3),0)
call derxx (te1,uy1,di1,sx,sfxp,ssxp,swxp,xsize(1),xsize(2),xsize(3),1)
call derxx (tf1,uz1,di1,sx,sfxp,ssxp,swxp,xsize(1),xsize(2),xsize(3),1)
ta1(:,:,:)=ta1(:,:,:)+td1(:,:,:)
tb1(:,:,:)=tb1(:,:,:)+te1(:,:,:)
tc1(:,:,:)=tc1(:,:,:)+tf1(:,:,:)
!if (nrank==1) print *,'WARNING rotating channel',itime
!tg1(:,:,:)=tg1(:,:,:)-2./18.*uy1(:,:,:)
!th1(:,:,:)=th1(:,:,:)-2./18.*ux1(:,:,:)
!FINAL SUM: DIFF TERMS + CONV TERMS
ta1(:,:,:)=xnu*ta1(:,:,:)-tg1(:,:,:)
tb1(:,:,:)=xnu*tb1(:,:,:)-th1(:,:,:)
tc1(:,:,:)=xnu*tc1(:,:,:)-ti1(:,:,:)
!!! =========== plasma force ============== omar
!print*, maxval(FZ_P),nrank,size(FZ_P),xsize(1),xsize(2),xsize(3)
!tb1(:,:,:)=tb1(:,:,:)+FY_P(:,:,:)
!tc1(:,:,:)=tc1(:,:,:)+Fz_P(:,:,:)
!uy1(:,:,:)=uy1(:,:,:)+FY_P(:,:,:)
!uz1(:,:,:)=uz1(:,:,:)+Fz_P(:,:,:)
!call PLASMA_FORCE(ux1,uy1,uz1,FY_p,FZ_p,FY_N,FZ_N) ! ***** OMAR
!!! ======================================= omar
end subroutine convdiff
!************************************************************
!
subroutine scalar(ux1,uy1,uz1,phi1,phis1,phiss1,di1,ta1,tb1,tc1,td1,&
uy2,uz2,phi2,di2,ta2,tb2,tc2,td2,uz3,phi3,di3,ta3,tb3,epsi)
!
!************************************************************
USE param
USE variables
USE decomp_2d
implicit none
real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: ux1,uy1,uz1,phi1,phis1,&
phiss1,di1,ta1,tb1,tc1,td1,epsi
real(mytype),dimension(ysize(1),ysize(2),ysize(3)) :: uy2,uz2,phi2,di2,ta2,tb2,tc2,td2
real(mytype),dimension(zsize(1),zsize(2),zsize(3)) :: uz3,phi3,di3,ta3,tb3
integer :: ijk,nvect1,nvect2,nvect3,i,j,k,nxyz
real(mytype) :: x,y,z
nvect1=xsize(1)*xsize(2)*xsize(3)
nvect2=ysize(1)*ysize(2)*ysize(3)
nvect3=zsize(1)*zsize(2)*zsize(3)
!X PENCILS
do ijk=1,nvect1
ta1(ijk,1,1)=ux1(ijk,1,1)*phi1(ijk,1,1)
enddo
call derx (tb1,ta1,di1,sx,ffx,fsx,fwx,xsize(1),xsize(2),xsize(3),0)
call derxx (ta1,phi1,di1,sx,sfxp,ssxp,swxp,xsize(1),xsize(2),xsize(3),1)
call transpose_x_to_y(phi1,phi2)
call transpose_x_to_y(uy1,uy2)
call transpose_x_to_y(uz1,uz2)
!Y PENCILS
do ijk=1,nvect2
ta2(ijk,1,1)=uy2(ijk,1,1)*phi2(ijk,1,1)
enddo
call dery (tb2,ta2,di2,sy,ffy,fsy,fwy,ppy,ysize(1),ysize(2),ysize(3),0)
if (istret.ne.0) then
call deryy (ta2,phi2,di2,sy,sfyp,ssyp,swyp,ysize(1),ysize(2),ysize(3),1)
call dery (tc2,phi2,di2,sy,ffy,fsy,fwy,ppy,ysize(1),ysize(2),ysize(3),0)
do k=1,ysize(3)
do j=1,ysize(2)
do i=1,ysize(1)
ta2(i,j,k)=ta2(i,j,k)*pp2y(j)-pp4y(j)*tc2(i,j,k)
enddo
enddo
enddo
else
call deryy (ta2,phi2,di2,sy,sfyp,ssyp,swyp,ysize(1),ysize(2),ysize(3),1)
endif
call transpose_y_to_z(phi2,phi3)
call transpose_y_to_z(uz2,uz3)
!Z PENCILS
do ijk=1,nvect3
ta3(ijk,1,1)=uz3(ijk,1,1)*phi3(ijk,1,1)
enddo
call derz (tb3,ta3,di3,sz,ffz,fsz,fwz,zsize(1),zsize(2),zsize(3),0)
call derzz (ta3,phi3,di3,sz,sfzp,sszp,swzp,zsize(1),zsize(2),zsize(3),1)
call transpose_z_to_y(ta3,tc2)
call transpose_z_to_y(tb3,td2)
!Y PENCILS ADD TERMS
do ijk=1,nvect2
tc2(ijk,1,1)=tc2(ijk,1,1)+ta2(ijk,1,1)
td2(ijk,1,1)=td2(ijk,1,1)+tb2(ijk,1,1)
enddo
call transpose_y_to_x(tc2,tc1)
call transpose_y_to_x(td2,td1)
!X PENCILS ADD TERMS
do ijk=1,nvect1
ta1(ijk,1,1)=ta1(ijk,1,1)+tc1(ijk,1,1) !SECOND DERIVATIVE
tb1(ijk,1,1)=tb1(ijk,1,1)+td1(ijk,1,1) !FIRST DERIVATIVE
enddo
do ijk=1,nvect1
ta1(ijk,1,1)=xnu/sc*ta1(ijk,1,1)-tb1(ijk,1,1)
enddo
!TIME ADVANCEMENT
nxyz=xsize(1)*xsize(2)*xsize(3)
if ((nscheme.eq.1).or.(nscheme.eq.2)) then
if ((nscheme.eq.1.and.itime.eq.1.and.ilit.eq.0).or.&
(nscheme.eq.2.and.itr.eq.1)) then
do ijk=1,nxyz
phi1(ijk,1,1)=gdt(itr)*ta1(ijk,1,1)+phi1(ijk,1,1)
phis1(ijk,1,1)=ta1(ijk,1,1)
enddo
else
do ijk=1,nxyz
phi1(ijk,1,1)=adt(itr)*ta1(ijk,1,1)+bdt(itr)*phis1(ijk,1,1)+phi1(ijk,1,1)
phis1(ijk,1,1)=ta1(ijk,1,1)
enddo
endif
endif
if (nscheme.eq.3) then
if (nrank==0) print *,'Not ready'
stop
endif
if (nscheme==4) then
if ((itime.eq.1).and.(ilit.eq.0)) then
if (nrank==0) print *,'start with Euler',itime
do ijk=1,nxyz !start with Euler
phi1(ijk,1,1)=dt*ta1(ijk,1,1)+phi1(ijk,1,1)
phis1(ijk,1,1)=ta1(ijk,1,1)
enddo
else
if ((itime.eq.2).and.(ilit.eq.0)) then
if (nrank==0) print *,'then with AB2',itime
do ijk=1,nxyz
phi1(ijk,1,1)=1.5*dt*ta1(ijk,1,1)-0.5*dt*phis1(ijk,1,1)+phi1(ijk,1,1)
phiss1(ijk,1,1)=phis1(ijk,1,1)
phis1(ijk,1,1)=ta1(ijk,1,1)
enddo
else
do ijk=1,nxyz
phi1(ijk,1,1)=adt(itr)*ta1(ijk,1,1)+bdt(itr)*phis1(ijk,1,1)+&
cdt(itr)*phiss1(ijk,1,1)+phi1(ijk,1,1)
phiss1(ijk,1,1)=phis1(ijk,1,1)
phis1(ijk,1,1)=ta1(ijk,1,1)
enddo
endif
endif
endif
end subroutine scalar