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convdiff.f90
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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
!eric.lamballais@univ-poitiers.fr / sylvain.laizet@gmail.com
!
! 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,rho1,mu1,ta1,tb1,tc1,td1,te1,tf1,tg1,th1,ti1,di1,&
ux2,uy2,uz2,rho2,mu2,ta2,tb2,tc2,td2,te2,tf2,tg2,th2,ti2,tj2,di2,&
ux3,uy3,uz3,rho3,mu3,divu3,ta3,tb3,tc3,td3,te3,tf3,tg3,th3,ti3,di3)
USE param
USE variables
USE decomp_2d
USE MPI
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)) :: rho1
real(mytype),dimension(ysize(1),ysize(2),ysize(3)) :: rho2
real(mytype),dimension(zsize(1),zsize(2),zsize(3)) :: rho3
real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: divu1
real(mytype),dimension(ysize(1),ysize(2),ysize(3)) :: divu2
real(mytype),dimension(zsize(1),zsize(2),zsize(3)) :: divu3
real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: clx1, cly1, clz1
real(mytype),dimension(ysize(1),ysize(2),ysize(3)) :: clx2, cly2, clz2
real(mytype),dimension(zsize(1),zsize(2),zsize(3)) :: clx3, cly3, clz3
real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: mu1
real(mytype),dimension(ysize(1),ysize(2),ysize(3)) :: mu2
real(mytype),dimension(zsize(1),zsize(2),zsize(3)) :: mu3
integer :: ijk,nvect1,nvect2,nvect3,i,j,k
real(mytype) :: x,y,z
real(mytype), parameter :: ONETHIRD = 1._mytype / 3._mytype
logical :: entrain_y, entrain_z
entrain_y = .FALSE.
entrain_z = .FALSE.
if (itype.eq.5) then
if (ncly.eq.2) then
entrain_y = .TRUE.
endif
if (nclz.eq.2) then
entrain_z = .TRUE.
endif
endif
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
td1(:,:,:) = rho1(:,:,:) * ux1(:,:,:) * ux1(:,:,:)
te1(:,:,:) = rho1(:,:,:) * uy1(:,:,:) * ux1(:,:,:)
tf1(:,:,:) = rho1(:,:,:) * uz1(:,:,:) * ux1(:,:,:)
call derx (tg1,td1,di1,sx,ffxp,fsxp,fwxp,xsize(1),xsize(2),xsize(3),1)
call derx (th1,te1,di1,sx,ffx,fsx,fwx,xsize(1),xsize(2),xsize(3),0)
call derx (ti1,tf1,di1,sx,ffx,fsx,fwx,xsize(1),xsize(2),xsize(3),0)
call derx (td1,ux1,di1,sx,ffx,fsx,fwx,xsize(1),xsize(2),xsize(3),0)
call derx (te1,uy1,di1,sx,ffxp,fsxp,fwxp,xsize(1),xsize(2),xsize(3),1)
call derx (tf1,uz1,di1,sx,ffxp,fsxp,fwxp,xsize(1),xsize(2),xsize(3),1)
ta1(:,:,:) = tg1(:,:,:) + rho1(:,:,:) * ux1(:,:,:) * td1(:,:,:)
tb1(:,:,:) = th1(:,:,:) + rho1(:,:,:) * ux1(:,:,:) * te1(:,:,:)
tc1(:,:,:) = ti1(:,:,:) + rho1(:,:,:) * ux1(:,:,:) * tf1(:,:,:)
if ((iskew.eq.1).and.(ilmn.ne.0)) then
! Quasi-skew symmetric terms
call derx(tg1,rho1,di1,sx,ffxp,fsxp,fwxp,xsize(1),xsize(2),xsize(3),1)
ta1(:,:,:) = ta1(:,:,:) + ux1(:,:,:) * ux1(:,:,:) * tg1(:,:,:)
tb1(:,:,:) = tb1(:,:,:) + uy1(:,:,:) * ux1(:,:,:) * tg1(:,:,:)
tc1(:,:,:) = tc1(:,:,:) + uz1(:,:,:) * ux1(:,:,:) * tg1(:,:,:)
endif
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)
call transpose_x_to_y(rho1,rho2)
!WORK Y-PENCILS
td2(:,:,:) = rho2(:,:,:) * ux2(:,:,:) * uy2(:,:,:)
te2(:,:,:) = rho2(:,:,:) * uy2(:,:,:) * uy2(:,:,:)
tf2(:,:,:) = rho2(:,:,:) * uz2(:,:,:) * uy2(:,:,:)
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)
ta2(:,:,:) = ta2(:,:,:) + tg2(:,:,:) + rho2(:,:,:) * uy2(:,:,:) * td2(:,:,:)
tb2(:,:,:) = tb2(:,:,:) + th2(:,:,:) + rho2(:,:,:) * uy2(:,:,:) * te2(:,:,:)
tc2(:,:,:) = tc2(:,:,:) + ti2(:,:,:) + rho2(:,:,:) * uy2(:,:,:) * tf2(:,:,:)
if ((iskew.eq.1).and.(ilmn.ne.0)) then
! Quasi-skew symmetric terms
call dery(th2,rho2,di2,sy,ffyp,fsyp,fwyp,ppy,ysize(1),ysize(2),ysize(3),1)
ta2(:,:,:) = ta2(:,:,:) + ux2(:,:,:) * uy2(:,:,:) * th2(:,:,:)
tb2(:,:,:) = tb2(:,:,:) + uy2(:,:,:) * uy2(:,:,:) * th2(:,:,:)
tc2(:,:,:) = tc2(:,:,:) + uz2(:,:,:) * uy2(:,:,:) * th2(:,:,:)
endif
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(rho2,rho3)
!WORK Z-PENCILS
td3(:,:,:) = rho3(:,:,:) * ux3(:,:,:) * uz3(:,:,:)
te3(:,:,:) = rho3(:,:,:) * uy3(:,:,:) * uz3(:,:,:)
tf3(:,:,:) = rho3(:,:,:) * uz3(:,:,:) * uz3(:,:,:)
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)
ta3(:,:,:) = ta3(:,:,:) + tg3(:,:,:) + rho3(:,:,:) * uz3(:,:,:) * td3(:,:,:)
tb3(:,:,:) = tb3(:,:,:) + th3(:,:,:) + rho3(:,:,:) * uz3(:,:,:) * te3(:,:,:)
tc3(:,:,:) = tc3(:,:,:) + ti3(:,:,:) + rho3(:,:,:) * uz3(:,:,:) * tf3(:,:,:)
if ((iskew.eq.1).and.(ilmn.ne.0)) then
! Quasi-skew symmetric terms (Note here also include contribution from div(u))
call derz(ti3,rho3,di3,sz,ffzp,fszp,fwzp,zsize(1),zsize(2),zsize(3),1)
ta3(:,:,:) = ta3(:,:,:) + ux3(:,:,:) &
* (uz3(:,:,:) * ti3(:,:,:) + rho3(:,:,:) * divu3(:,:,:))
tb3(:,:,:) = tb3(:,:,:) + uy3(:,:,:) &
* (uz3(:,:,:) * ti3(:,:,:) + rho3(:,:,:) * divu3(:,:,:))
tc3(:,:,:) = tc3(:,:,:) + uz3(:,:,:) &
* (uz3(:,:,:) * ti3(:,:,:) + rho3(:,:,:) * divu3(:,:,:))
endif
!! Need to multiply by 1/2
ta3(:,:,:) = 0.5_mytype * ta3(:,:,:)
tb3(:,:,:) = 0.5_mytype * tb3(:,:,:)
tc3(:,:,:) = 0.5_mytype * tc3(:,:,:)
endif
!ALL THE CONVECTIVE TERMS ARE IN TA3, TB3 and TC3
tg3(:,:,:) = ta3(:,:,:)
th3(:,:,:) = tb3(:,:,:)
ti3(:,:,:) = 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)
ta3(:,:,:) = mu3(:,:,:) * ta3(:,:,:)
tb3(:,:,:) = mu3(:,:,:) * tb3(:,:,:)
tc3(:,:,:) = mu3(:,:,:) * tc3(:,:,:)
if (ilmn.ne.0) then
!! Compute bulk shear contribution
! tg3, th3, ti3 available as work vectors
! TODO need to check ffzp, and whether last terms should be 1 or 0
call derz(tf3, divu3, di3, sz, ffz, fsz, fwz, zsize(1), zsize(2), zsize(3), 0)
tc3(:,:,:) = tc3(:,:,:) - 2._mytype * ONETHIRD * mu3(:,:,:) * tf3(:,:,:)
endif
!! XXX Transpose advection terms to make room for 2nd non-conservative diffusion
! term
call transpose_z_to_y(tg3,tg2)
call transpose_z_to_y(th3,th2)
call transpose_z_to_y(ti3,ti2)
if (iprops.ne.0) then
!! Fluid properties are variable
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)
call derz(ti3, mu3, di3, sz, ffzp, fszp, fwzp, zsize(1), zsize(2), zsize(3), 1)
ta3(:,:,:) = ta3(:,:,:) + ti3(:,:,:) * td3(:,:,:)
tb3(:,:,:) = tb3(:,:,:) + ti3(:,:,:) * te3(:,:,:)
tc3(:,:,:) = tc3(:,:,:) + ti3(:,:,:) * tf3(:,:,:) &
- ti3(:,:,:) * 2._mytype * ONETHIRD * divu3(:,:,:)
endif
clx3(:,:,:) = 0._mytype
cly3(:,:,:) = 0._mytype
clz3(:,:,:) = 0._mytype
IF (entrain_y.EQV..TRUE.) THEN
!! Apply y-normal BCs (in Z pencil)
CALL entrainment_bcy(ux3, uy3, uz3, clx3, cly3, clz3)
ENDIF
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(divu3, divu2)
if (iprops.eq.0) then
mu2(:,:,:) = 1._mytype
endif
!WORK Y-PENCILS
IF ((entrain_y.EQV..TRUE.).OR.(entrain_z.EQV..TRUE.)) THEN
CALL transpose_z_to_y(clx3, clx2)
CALL transpose_z_to_y(cly3, cly2)
CALL transpose_z_to_y(clz3, clz2)
ENDIF
!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(:,:,:) + mu2(:,:,:) * td2(:,:,:)
tb2(:,:,:) = tb2(:,:,:) + mu2(:,:,:) * te2(:,:,:)
tc2(:,:,:) = tc2(:,:,:) + mu2(:,:,:) * tf2(:,:,:)
if (ilmn.ne.0) then
!! Compute bulk shear contribution
! td2, te2, tf2 avaiable as work vectors
call dery(te2, divu2, di2, sy, ffy, fsy, fwy, ppy, ysize(1), ysize(2), ysize(3), 0)
tb2(:,:,:) = tb2(:,:,:) - 2._mytype * ONETHIRD * mu2(:,:,:) * te2(:,:,:)
endif
IF (entrain_z.EQV..TRUE.) THEN
!! Apply Z-normal BCs
CALL entrainment_bcz(ux2, uy2, uz2, clx2, cly2, clz2)
ENDIF
!! XXX First move advection terms to make room to work
call transpose_y_to_x(tg2,tg1)
call transpose_y_to_x(th2,th1)
call transpose_y_to_x(ti2,ti1) !conv
if (iprops.ne.0) then
!! Compute non-conservative part of viscous stress tensor
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)
call dery (th2,mu2,di2,sy,ffyp,fsyp,fwyp,ppy,ysize(1),ysize(2),ysize(3),1)
ta2(:,:,:) = ta2(:,:,:) + th2(:,:,:) * td2(:,:,:)
tb2(:,:,:) = tb2(:,:,:) + th2(:,:,:) * te2(:,:,:) &
- th2(:,:,:) * 2._mytype * ONETHIRD * divu2(:,:,:)
tc2(:,:,:) = tc2(:,:,:) + th2(:,:,:) * tf2(:,:,:)
endif
!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(divu2, divu1)
if (iprops.eq.0) then
mu1(:,:,:) = 1._mytype
endif
!WORK X-PENCILS
IF ((entrain_y.EQV..TRUE.).OR.(entrain_z.EQV..TRUE.)) THEN
CALL transpose_y_to_x(clx2, clx1)
CALL transpose_y_to_x(cly2, cly1)
CALL transpose_y_to_x(clz2, clz1)
ENDIF
!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(:,:,:) + mu1(:,:,:) * td1(:,:,:)
tb1(:,:,:) = tb1(:,:,:) + mu1(:,:,:) * te1(:,:,:)
tc1(:,:,:) = tc1(:,:,:) + mu1(:,:,:) * tf1(:,:,:)
if (ilmn.ne.0) then
!! Compute bulk shear contribution
! td1, te1, tf1 available as work vectors
! TODO need to check ffzp, and whether last terms should be 1 or 0
call derx(td1, divu1, di1, sx, ffx, fsx, fwx, xsize(1), xsize(2), xsize(3), 0)
ta1(:,:,:) = ta1(:,:,:) - 2._mytype * ONETHIRD * mu1(:,:,:) * td1(:,:,:)
endif
!INTERMEDIATE SUM: DIFF TERMS + CONV TERMS
ta1(:,:,:) = xnu * ta1(:,:,:) - tg1(:,:,:)
tb1(:,:,:) = xnu * tb1(:,:,:) - th1(:,:,:)
tc1(:,:,:) = xnu * tc1(:,:,:) - ti1(:,:,:)
!! We now have room to do the non-conservative part of viscous stress tensor
if (iprops.ne.0) then
call derx (td1,ux1,di1,sx,ffx,fsx,fwx,xsize(1),xsize(2),xsize(3),0)
call derx (te1,uy1,di1,sx,ffxp,fsxp,fwxp,xsize(1),xsize(2),xsize(3),1)
call derx (tf1,uz1,di1,sx,ffxp,fsxp,fwxp,xsize(1),xsize(2),xsize(3),1)
call derx (tg1,mu1,di1,sx,ffxp,fsxp,fwxp,xsize(1),xsize(2),xsize(3),1)
ta1(:,:,:) = ta1(:,:,:) + xnu * (tg1(:,:,:) * td1(:,:,:) &
- tg1(:,:,:) * 2._mytype * ONETHIRD * divu1(:,:,:))
tb1(:,:,:) = tb1(:,:,:) + xnu * tg1(:,:,:) * te1(:,:,:)
tc1(:,:,:) = tc1(:,:,:) + xnu * tg1(:,:,:) * tf1(:,:,:)
endif
if (ilmn.ne.0) then
!! Compute cross-shear
! NB ta1,tb1,tc1 cannot be touched!
! NB u2,u3 have already been updated, no need to transpose velocities!
! X - accumulate d(v,w)dx terms
call derx(te1, uy1, di1, sx, ffxp, fsxp, fwxp, xsize(1), xsize(2), xsize(3), 1)
call derx(tf1, uz1, di1, sx, ffxp, fsxp, fwxp, xsize(1), xsize(2), xsize(3), 1)
call transpose_x_to_y(te1, te2) ! te2 contains dvdx
call transpose_x_to_y(tf1, tf2) ! tf2 contains dwdx
! Y - accumulate dwdy terms
call dery(ti2, uz2, di2, sy, ffyp, fsyp, fwyp, ppy, ysize(1), ysize(2), ysize(3), 1)
call transpose_y_to_z(tf2, tg3) ! tg3 contains dwdx
call transpose_y_to_z(ti2, th3) ! th3 contains dwdy
! Z - accumulate ddz terms
call derz(ta3, ux3, di3, sz, ffzp, fszp, fwzp, zsize(1), zsize(2), zsize(3), 1)
call derz(tb3, uy3, di3, sz, ffzp, fszp, fwzp, zsize(1), zsize(2), zsize(3), 1)
call derz(tc3, uz3, di3, sz, ffz, fsz, fwz, zsize(1), zsize(2), zsize(3), 0)
! Z - compute ddz(dwdx, dwdy, dwdz)
call derz(td3, tg3, di3, sz, ffz, fsz, fwz, zsize(1), zsize(2), zsize(3), 0)
call derz(te3, th3, di3, sz, ffz, fsz, fwz, zsize(1), zsize(2), zsize(3), 0)
call derz(tf3, tc3, di3, sz, ffzp, fszp, fwzp, zsize(1), zsize(2), zsize(3), 1)
td3(:,:,:) = mu3(:,:,:) * td3(:,:,:)
te3(:,:,:) = mu3(:,:,:) * te3(:,:,:)
tf3(:,:,:) = mu3(:,:,:) * tf3(:,:,:)
if (iprops.ne.0) then
!! Store dmudz in ti3
call derz(ti3, mu3, di3, sz, ffzp, fszp, fwzp, zsize(1), zsize(2), zsize(3), 1)
! Add dmudz * \nabla w to cross-shear
td3(:,:,:) = td3(:,:,:) + ti3(:,:,:) * tg3(:,:,:)
te3(:,:,:) = te3(:,:,:) + ti3(:,:,:) * th3(:,:,:)
tf3(:,:,:) = tf3(:,:,:) + ti3(:,:,:) * tc3(:,:,:)
endif
call transpose_z_to_y(td3, tg2) ! tg2 contains mu * d2wdzdx + dmudz * dwdx
call transpose_z_to_y(te3, th2) ! th2 contains mu * d2wdzdy + dmudz * dwdy
call transpose_z_to_y(tf3, ti2) ! ti2 contains mu * d2wdzdz + dmudz * dwdz
call transpose_z_to_y(ta3, ta2) ! ta2 contains dudz
call transpose_z_to_y(tb3, tb2) ! tb2 contains dvdz
! Y - compute ddy(dvdx, dvdy, dvdz)
tj2(:,:,:) = te2(:,:,:) ! Store dvdx
call dery(td2, te2, di2, sy, ffy, fsy, fwy, ppy, ysize(1), ysize(2), ysize(3), 0)
call dery(tc2, uy2, di2, sy, ffy, fsy, fwy, ppy, ysize(1), ysize(2), ysize(3), 0)
call dery(te2, tc2, di2, sy, ffyp, fsyp, fwyp, ppy, ysize(1), ysize(2), ysize(3), 1)
call dery(tf2, tb2, di2, sy, ffy, fsy, fwy, ppy, ysize(1), ysize(2), ysize(3), 0)
td2(:,:,:) = mu2(:,:,:) * td2(:,:,:)
te2(:,:,:) = mu2(:,:,:) * te2(:,:,:)
tf2(:,:,:) = mu2(:,:,:) * tf2(:,:,:)
td2(:,:,:) = td2(:,:,:) + tg2(:,:,:) ! td2 contains mu * (d2vdydx + d2wdzdx) + dmudz * dwdx
te2(:,:,:) = te2(:,:,:) + th2(:,:,:) ! te2 contains mu * (d2vdydy + d2wdzdy) + dmudz * dwdy
tf2(:,:,:) = tf2(:,:,:) + ti2(:,:,:) ! tf2 contains mu * (d2vdydz + d2wdzdz) + dmudz * dwdz
if (iprops.ne.0) then
!! Store dmudy in th2
call dery(th2, mu2, di2, sy, ffyp, fsyp, fwyp, ppy, ysize(1), ysize(2), ysize(3), 1)
! Add dmudy * \nabla v to cross-shear
td2(:,:,:) = td2(:,:,:) + th2(:,:,:) * tj2(:,:,:)
te2(:,:,:) = te2(:,:,:) + th2(:,:,:) * tc2(:,:,:)
tf2(:,:,:) = tf2(:,:,:) + th2(:,:,:) * tb2(:,:,:)
endif
call transpose_y_to_x(td2, td1) ! td1 contains mu * (d2vdydx + d2wdzdx) + (dmudy * dvdx + dmudz * dwdx)
call transpose_y_to_x(te2, te1) ! te1 contains mu * (d2vdydy + d2wdzdy) + (dmudy * dvdy + dmudz * dwdy)
call transpose_y_to_x(tf2, tf1) ! tf1 contains mu * (d2vdydz + d2wdzdz) + (dmudy * dvdz + dmudz * dwdz)
call dery(tc2, ux2, di2, sy, ffyp, fsyp, fwyp, ppy, ysize(1), ysize(2), ysize(3), 1)
call transpose_y_to_x(tc2, th1) ! th1 contains dudy
call transpose_y_to_x(ta2, ti1) ! ti1 contains dudz
! X - compute ddx(dudx, dudy, dudz)
! First make some room to work!
ta1(:,:,:) = ta1(:,:,:) + xnu * td1(:,:,:)
tb1(:,:,:) = tb1(:,:,:) + xnu * te1(:,:,:)
tc1(:,:,:) = tc1(:,:,:) + xnu * tf1(:,:,:)
call derx(tg1, ux1, di1, sx, ffx, fsx, fwx, xsize(1), xsize(2), xsize(3), 0)
call derx(td1, tg1, di1, sx, ffxp, fsxp, fwxp, xsize(1), xsize(2), xsize(3), 1)
call derx(te1, th1, di1, sx, ffx, fsx, fwx, xsize(1), xsize(2), xsize(3), 0)
call derx(tf1, ti1, di1, sx, ffx, fsx, fwx, xsize(1), xsize(2), xsize(3), 0)
!! Finish off adding cross-stresses to shear stress
ta1(:,:,:) = ta1(:,:,:) + xnu * mu1(:,:,:) * td1(:,:,:)
tb1(:,:,:) = tb1(:,:,:) + xnu * mu1(:,:,:) * te1(:,:,:)
tc1(:,:,:) = tc1(:,:,:) + xnu * mu1(:,:,:) * tf1(:,:,:)
if (iprops.ne.0) then
!! Add dmudx * \nabla u to cross-shear
call derx(td1, mu1, di1, sx, ffxp, fsxp, fwxp, xsize(1), xsize(2), xsize(3), 1)
ta1(:,:,:) = ta1(:,:,:) + xnu * td1(:,:,:) * tg1(:,:,:)
tb1(:,:,:) = tb1(:,:,:) + xnu * td1(:,:,:) * th1(:,:,:)
tc1(:,:,:) = tc1(:,:,:) + xnu * td1(:,:,:) * ti1(:,:,:)
endif
endif
! CALL fringe_bcx(ta1, tb1, tc1, ux1, uy1, uz1, rho1)
!! Setting entrainment boundary conditions
IF (entrain_z.EQV..TRUE.) THEN
CALL set_velocity_entrainment_z(clx1, cly1, clz1)
ENDIF !! End Z BC
IF (entrain_y.EQV..TRUE.) THEN
CALL set_velocity_entrainment_y(clx1, cly1, clz1)
ENDIF !! End Y BC
! !! MMS Source term
! call momentum_source_mms(ta1,tb1,tc1)
end subroutine convdiff
!************************************************************
!
!
!************************************************************
subroutine scalar(ux1,uy1,uz1,rho1,phi1,gamma1,phis1,phiss1,di1,ta1,tb1,tc1,td1,&
uy2,uz2,rho2,phi2,gamma2,di2,ta2,tb2,tc2,td2,&
uz3,rho3,phi3,gamma3,di3,ta3,tb3,tc3,epsi)
USE param
USE variables
USE decomp_2d
implicit none
real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: ux1,uy1,uz1,rho1,phi1,gamma1,phis1,&
phiss1,di1,ta1,tb1,tc1,td1,epsi
real(mytype),dimension(ysize(1),ysize(2),ysize(3)) :: uy2,uz2,rho2,phi2,gamma2,di2,ta2,tb2,tc2,td2
real(mytype),dimension(zsize(1),zsize(2),zsize(3)) :: uz3,rho3,phi3,gamma3,di3,ta3,tb3,tc3
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)=rho1(ijk,1,1)*phi1(ijk,1,1)*ux1(ijk,1,1)
enddo
call derx (tb1,ta1,di1,sx,ffx,fsx,fwx,xsize(1),xsize(2),xsize(3),0)
if (iprops.eq.0) then
call derxx (ta1,phi1,di1,sx,sfxp,ssxp,swxp,xsize(1),xsize(2),xsize(3),1)
else
call derx (ta1,phi1,di1,sx,ffxp,fsxp,fwxp,xsize(1),xsize(2),xsize(3),1)
tc1(:,:,:) = gamma1(:,:,:) * ta1(:,:,:)
call derx (ta1,tc1,di1,sx,ffx,fsx,fwx,xsize(1),xsize(2),xsize(3),0)
call transpose_x_to_y(gamma1, gamma2)
endif
call transpose_x_to_y(phi1,phi2)
call transpose_x_to_y(uy1,uy2)
call transpose_x_to_y(uz1,uz2)
call transpose_x_to_y(rho1,rho2)
!Y PENCILS
do ijk=1,nvect2
ta2(ijk,1,1)=rho2(ijk,1,1)*phi2(ijk,1,1)*uy2(ijk,1,1)
enddo
call dery (tb2,ta2,di2,sy,ffy,fsy,fwy,ppy,ysize(1),ysize(2),ysize(3),0)
if (iprops.eq.0) then
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
else
call dery (ta2,phi2,di2,sy,ffyp,fsyp,fwyp,ppy,ysize(1),ysize(2),ysize(3),1)
tc2(:,:,:) = gamma2(:,:,:) * ta2(:,:,:)
call dery (ta2,tc2,di2,sy,ffy,fsy,fwy,ppy,ysize(1),ysize(2),ysize(3),0)
call transpose_y_to_z(gamma2, gamma3)
endif
call transpose_y_to_z(phi2,phi3)
call transpose_y_to_z(uz2,uz3)
call transpose_y_to_z(rho2,rho3)
!Z PENCILS
do ijk=1,nvect3
ta3(ijk,1,1)=rho3(ijk,1,1)*phi3(ijk,1,1)*uz3(ijk,1,1)
enddo
call derz (tb3,ta3,di3,sz,ffz,fsz,fwz,zsize(1),zsize(2),zsize(3),0)
if (iprops.eq.0) then
call derzz (ta3,phi3,di3,sz,sfzp,sszp,swzp,zsize(1),zsize(2),zsize(3),1)
else
call derz (ta3,phi3,di3,sz,ffzp,fszp,fwzp,zsize(1),zsize(2),zsize(3),1)
tc3(:,:,:) = gamma3(:,:,:) * ta3(:,:,:)
call derz (ta3,tc3,di3,sz,ffz,fsz,fwz,zsize(1),zsize(2),zsize(3),0)
endif
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
if (ilmn.ne.0) then
phi1(:,:,:) = rho1(:,:,:)*phi1(:,:,:)
endif
!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_mytype*dt*ta1(ijk,1,1)-0.5_mytype*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
!!--------------------------------------------------------------------
!! Subroutine: conv_density
!!
!! Description: Advances density in time for LMN.
!!
!! Notes: The "diffusion" term in the continuity equation is
!! given as:
!!
!! (1 / (Re Pr T)) div(kappa grad(T))
!!
!! however, we have p = rho T and grad(p) = 0, where p is
!! the thermodynamic pressure in the LMN approximation.
!! Therefore can make the substitution T = p / rho giving
!!
!! (1 / (Re Pr (p / rho))) div(kappa grad(p / rho))
!! => (rho / (Re Pr)) div(kappa grad(1 / rho))
!!
!! making use of grad(p) = 0. This saves
!! memory/communication as would need to compute, store
!! and transpose temperature array when we do this with
!! density anyway.
!!--------------------------------------------------------------------
SUBROUTINE conv_density(ux1, uy1, uz1, rho1, di1, ta1, tb1, tc1, td1,&
uy2, uz2, rho2, di2, ta2, tb2, tc2, td2, &
uz3, rho3, divu3, 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
REAL(mytype), DIMENSION(xsize(1), xsize(2), xsize(3)) :: rho1
REAL(mytype), DIMENSION(xsize(1), xsize(2), xsize(3)) :: di1, ta1, tb1, tc1, td1, epsi
REAL(mytype), DIMENSION(ysize(1), ysize(2), ysize(3)) :: uy2, uz2
REAL(mytype), DIMENSION(ysize(1), ysize(2), ysize(3)) :: rho2
REAL(mytype), DIMENSION(ysize(1), ysize(2), ysize(3)) :: di2, ta2, tb2, tc2, td2
REAL(mytype), DIMENSION(zsize(1), zsize(2), zsize(3)) :: uz3
REAL(mytype), DIMENSION(zsize(1), zsize(2), zsize(3)) :: rho3
REAL(mytype), DIMENSION(zsize(1), zsize(2), zsize(3)) :: divu3
REAL(mytype), DIMENSION(zsize(1), zsize(2), zsize(3)) :: di3, ta3, tb3
REAL(mytype) :: invpe
INTEGER :: ijk, nvect1, nvect2, nvect3
nvect1 = xsize(1) * xsize(2) * xsize(3)
nvect2 = ysize(1) * ysize(2) * ysize(3)
nvect3 = zsize(1) * zsize(2) * zsize(3)
invpe = xnu / sc
!------------------------------------------------------------------------
! X PENCILS
! tb1 = diffusion
! ta1 = advection
! Advection term (non-conservative)
CALL derx (ta1, rho1, di1, sx, ffxp, fsxp, fwxp, xsize(1), xsize(2), xsize(3), 1)
ta1(:,:,:) = ux1(:,:,:) * ta1(:,:,:)
! Go to Y
CALL transpose_x_to_y(rho1, rho2)
CALL transpose_x_to_y(uy1, uy2)
CALL transpose_x_to_y(uz1, uz2)
!------------------------------------------------------------------------
!Y PENCILS
! tb2 = diffusion
! ta2 = advection
! Advection term (non-conservative)
CALL dery (ta2, rho2, di2, sy, ffyp, fsyp, fwyp, ppy, ysize(1), ysize(2), ysize(3), 1)
ta2(:,:,:) = uy2(:,:,:) * ta2(:,:,:)
! Go to Z
CALL transpose_y_to_z(rho2, rho3)
CALL transpose_y_to_z(uz2, uz3)
!------------------------------------------------------------------------
! Z PENCILS
! tb3 = diffusion
! ta3 = advection
! Advection term (non-conservative)
! XXX Also adds contribution from divu3
CALL derz (ta3, rho3, di3, sz, ffzp, fszp, fwzp, zsize(1), zsize(2), zsize(3), 1)
ta3(:,:,:) = uz3(:,:,:) * ta3(:,:,:) + rho3(:,:,:) * divu3(:,:,:)
! call derzz (tb3,rho3,di3,sz,sfzp,sszp,swzp,zsize(1),zsize(2),zsize(3),1)
! ta3(:,:,:) = ta3(:,:,:) - invpe * tb3(:,:,:)
! Get back to Y
CALL transpose_z_to_y(ta3, td2)
!------------------------------------------------------------------------
!Y PENCILS ADD TERMS
td2(:,:,:) = td2(:,:,:) + ta2(:,:,:)
! call deryy (tb2,rho2,di2,sy,sfyp,ssyp,swyp,ysize(1),ysize(2),ysize(3),1)
! td2(:,:,:) = td2(:,:,:) - invpe * tb2(:,:,:)
! Get back to X
CALL transpose_y_to_x(td2, td1)
!------------------------------------------------------------------------
! X PENCILS ADD TERMS and set negative (ddt rho = -div(rho u))
ta1(:,:,:) = -(ta1(:,:,:) + td1(:,:,:)) !FIRST DERIVATIVE (CONV)
! call derxx (tb1,rho1,di1,sx,sfxp,ssxp,swxp,xsize(1),xsize(2),xsize(3),1)
! ta1(:,:,:) = ta1(:,:,:) + invpe * tb1(:,:,:)
! !! MMS Source term
! CALL density_source_mms(ta1)
ENDSUBROUTINE conv_density
!!--------------------------------------------------------------------
!!--------------------------------------------------------------------
SUBROUTINE convdiff_temperature(ux1, uy1, uz1, rho1, temperature1, di1, ta1, tb1,&
uy2, uz2, rho2, temperature2, di2, ta2, tb2,&
uz3, rho3, temperature3, di3, ta3, tb3)
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)) :: temperature1, rho1
REAL(mytype), DIMENSION(xsize(1), xsize(2), xsize(3)) :: di1, ta1, tb1
REAL(mytype), DIMENSION(ysize(1), ysize(2), ysize(3)) :: uy2, uz2
REAL(mytype), DIMENSION(ysize(1), ysize(2), ysize(3)) :: temperature2, rho2
REAL(mytype), DIMENSION(ysize(1), ysize(2), ysize(3)) :: di2, ta2, tb2
REAL(mytype), DIMENSION(zsize(1), zsize(2), zsize(3)) :: uz3
REAL(mytype), DIMENSION(zsize(1), zsize(2), zsize(3)) :: temperature3, rho3
REAL(mytype), DIMENSION(zsize(1), zsize(2), zsize(3)) :: di3, ta3, tb3
REAL(mytype) :: invpr
invpr = 1._mytype / pr
!!----------------------------------------------------------------
! Accumulate advection
!----------------------------------------
! X-pencils
CALL derx (tb1, temperature1, di1, sx, ffxp, fsxp, fwxp, xsize(1), xsize(2), xsize(3), 1)
tb1(:,:,:) = ux1(:,:,:) * tb1(:,:,:)
! Go to Y
CALL transpose_x_to_y(temperature1, temperature2)
CALL transpose_x_to_y(uy1, uy2)
CALL transpose_x_to_y(uz1, uz2)
CALL transpose_x_to_y(rho1, rho2)
!----------------------------------------
!Y PENCILS
CALL dery (tb2, temperature2, di2, sy, ffyp, fsyp, fwyp, ppy, ysize(1), ysize(2), ysize(3), 1)
tb2(:,:,:) = uy2(:,:,:) * tb2(:,:,:)
! Go to Z
CALL transpose_y_to_z(temperature2, temperature3)
CALL transpose_y_to_z(uz2, uz3)
CALL transpose_y_to_z(rho2, rho3)
!----------------------------------------
! Z PENCILS
CALL derz (tb3, temperature3, di3, sz, ffzp, fszp, fwzp, zsize(1), zsize(2), zsize(3), 1)
tb3(:,:,:) = uz3(:,:,:) * tb3(:,:,:)
!!----------------------------------------------------------------
! Add diffusion and get back to X
! XXX The diffusion term is equivalent to T div(u)
call derzz (tb3,temperature3,di3,sz,sfzp,sszp,swzp,zsize(1),zsize(2),zsize(3),1)
ta3(:,:,:) = (xnu * invpr / rho3(:,:,:)) * ta3(:,:,:) - tb3(:,:,:)
CALL transpose_z_to_y(ta3, ta2)
ta2(:,:,:) = ta2(:,:,:) - tb2(:,:,:)
call deryy (tb2,temperature2,di2,sy,sfyp,ssyp,swyp,ysize(1),ysize(2),ysize(3),1)
ta2(:,:,:) = ta2(:,:,:) + (xnu * invpr / rho2(:,:,:)) * tb2(:,:,:)
CALL transpose_y_to_x(ta2, ta1)
ta1(:,:,:) = ta1(:,:,:) - tb1(:,:,:)
call derxx (tb1,temperature1,di1,sx,sfxp,ssxp,swxp,xsize(1),xsize(2),xsize(3),1)
ta1(:,:,:) = ta1(:,:,:) + (xnu * invpr / rho1(:,:,:)) * tb1(:,:,:)
ENDSUBROUTINE convdiff_temperature
SUBROUTINE convdiff_massfrac(ux1, uy1, uz1, rho1, massfrac1, massfracs1, massfracss1, ta1, tb1, tc1, di1, &
uy2, uz2, rho2, massfrac2, ta2, tb2, tc2, di2, &
uz3, rho3, massfrac3, ta3, tb3, tc3, di3)
USE param
USE variables
USE decomp_2d
IMPLICIT NONE
REAL(mytype), DIMENSION(xsize(1), xsize(2), xsize(3)) :: ux1, uy1, uz1, rho1
REAL(mytype), DIMENSION(xsize(1), xsize(2), xsize(3)) :: massfrac1, massfracs1, massfracss1
REAL(mytype), DIMENSION(xsize(1), xsize(2), xsize(3)) :: di1, ta1, tb1, tc1
REAL(mytype), DIMENSION(ysize(1), ysize(2), ysize(3)) :: uy2, uz2, rho2
REAL(mytype), DIMENSION(ysize(1), ysize(2), ysize(3)) :: massfrac2
REAL(mytype), DIMENSION(ysize(1), ysize(2), ysize(3)) :: di2, ta2, tb2, tc2
REAL(mytype), DIMENSION(zsize(1), zsize(2), zsize(3)) :: uz3, rho3
REAL(mytype), DIMENSION(zsize(1), zsize(2), zsize(3)) :: massfrac3
REAL(mytype), DIMENSION(zsize(1), zsize(2), zsize(3)) :: di3, ta3, tb3, tc3
INTEGER :: ijk, nxyz
REAL(mytype) :: invsc
invsc = 1._mytype / sc
nxyz = xsize(1) * xsize(2) * xsize(3)
!!----------------------------------------------------------------
! Accumulate diffusion - advection
!----------------------------------------
! X-pencils
CALL derx (ta1, massfrac1, di1, sx, ffxp, fsxp, fwxp, xsize(1), xsize(2), xsize(3), 1)
tb1(:,:,:) = rho1(:,:,:) * ta1(:,:,:)
call derx (tc1,tb1,di1,sx,ffx,fsx,fwx,xsize(1),xsize(2),xsize(3),0)
ta1(:,:,:) = (xnu * invsc / rho1(:,:,:)) * tc1(:,:,:) - ux1(:,:,:) * ta1(:,:,:)
! Go to Y
CALL transpose_x_to_y(massfrac1, massfrac2)
CALL transpose_x_to_y(uy1, uy2)
CALL transpose_x_to_y(uz1, uz2)
CALL transpose_x_to_y(rho1, rho2)
!----------------------------------------
!Y PENCILS
CALL dery (ta2, massfrac2, di2, sy, ffyp, fsyp, fwyp, ppy, ysize(1), ysize(2), ysize(3), 1)
tb2(:,:,:) = rho2(:,:,:) * ta2(:,:,:)
CALL dery (tc2, tb2, di2, sy, ffy, fsy, fwy, ppy, ysize(1), ysize(2), ysize(3), 0)
ta2(:,:,:) = (xnu * invsc / rho2(:,:,:)) * tc2(:,:,:) - uy2(:,:,:) * ta2(:,:,:)
! Go to Z
CALL transpose_y_to_z(massfrac2, massfrac3)
CALL transpose_y_to_z(uz2, uz3)
CALL transpose_y_to_z(rho2, rho3)
!----------------------------------------
! Z PENCILS
CALL derz (ta3, massfrac3, di3, sz, ffzp, fszp, fwzp, zsize(1), zsize(2), zsize(3), 1)
tb3(:,:,:) = rho3(:,:,:) * ta3(:,:,:)
CALL derz (tc3, tb3, di3, sz, ffz, fsz, fwz, zsize(1), zsize(2), zsize(3), 0)
ta3(:,:,:) = (xnu * invsc / rho3(:,:,:)) * tc3(:,:,:) - uz3(:,:,:) * ta3(:,:,:)
! Get back to X
CALL transpose_z_to_y(ta3, tb2)
ta2(:,:,:) = ta2(:,:,:) + tb2(:,:,:)
CALL transpose_y_to_x(ta2, tb1)
ta1(:,:,:) = ta1(:,:,:) + tb1(:,:,:)
!! Integrate in time
IF ((nscheme.EQ.1).OR.(nscheme.EQ.2)) THEN
!! AB2 or RK3
IF (((nscheme.EQ.1).AND.(itime.EQ.1).AND.(ilit.EQ.0)).OR.&
((nscheme.EQ.2).AND.(itr.EQ.1))) THEN
massfrac1(:,:,:) = massfrac1(:,:,:) + gdt(itr) * ta1(:,:,:)
ELSE
massfrac1(:,:,:) = massfrac1(:,:,:) + adt(itr) * ta1(:,:,:) &
+ bdt(itr) * massfracs1(:,:,:)
ENDIF
ELSE IF (nscheme.EQ.3) THEN
!! RK3