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advec_cds6.f
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! Part of Dflow3d a 3D Navier Stokes solver with variable density for
! simulations of near field dredge plume mixing
! Copyright (C) 2012 Lynyrd de Wit
! This program 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, either version 3 of the License, or
! (at your option) any later version.
! This program 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 this program. If not, see <http://www.gnu.org/licenses/>.
subroutine advecu_CDS6(putout,Uvel,Vvel,Wvel,RHO,rhU,rhV,rhW,Ru,Rp,dr,phiv,dz,
+ i1,j1,k1,ib,ie,jb,je,kb,ke,rank,px,numdif,periodicx,periodicy,wf,wd,nd2)
implicit none
c
c********************************************************************
c
c advecu calculates the advection of the u-velocity, which is
c the velocity in the radial direction.
c
c In formula:
c
c 1 d(ruu) 1 d(uv) d(uw) vv
c - ( - ------ + - ----- + ----- - -- )
c r dr r dphi dz r
c
c on input :
c
c putout : "empty" (initialised to zero)
c Uvel,Vvel,Wvel : contain velocities at former timestep
c Utmp : contains velocity at oldest timestep
c dr,phiv,dz : grid spacing in r, phi and z-direction
c i1,j1,k1 : parameters for array-dimensions
c ib,ie,jb,je,kb,ke : range of gridpoints for which the
c advection has to be calculated
c Ru,Rp : radial positions of the U-velocity
c component and the pressure location
c respectively
c
c on output :
c
c putout : advection part
c other parameters : all unchanged
c
c********************************************************************
integer i,j,k,im,ip,jm,jp,km,kp,i1,j1,k1,ib,ie,jb,je,kb,ke
real putout(0:i1,0:j1,0:k1),Uvel(0:i1,0:j1,0:k1),
+ Vvel(0:i1,0:j1,0:k1),Wvel(0:i1,0:j1,0:k1),
+ dr(0:i1),phiv(0:j1),dz,Ru(0:i1),Rp(0:i1)
real rho(0:i1,0:j1,0:k1),numdif,dzi,nd2
real rhoip,rhoim,rhojp,rhojm,rhokp,rhokm
real Ax,Bx,Cx,DDx
real Ay,By,Cy,DDy
real Az,Bz,Cz,DDz
real uuR,uuL,vvR,vvL,wwR,wwL
integer kpp,kppp,kmm,kmmm,jpp,jppp,jmm,jmmm,ipp,ippp,imm,immm,rank,px,periodicx,periodicy,wd
real*8 ubb(0:i1,0:k1),ubf(0:i1,0:k1),Uvel2(-2:i1+2,-2:j1+2,-2:k1+2)
real wwdd(1:3),wf(0:i1,0:j1,0:k1),numdif2,u4mag
real rhU(0:i1,0:j1,0:k1),rhV(0:i1,0:j1,0:k1),rhW(0:i1,0:j1,0:k1)
real Vvel2(-2:i1+2,-2:j1+2,-2:k1+2),Wvel2(-2:i1+2,-2:j1+2,-2:k1+2)
Uvel2(0:i1,0:j1,0:k1)=Uvel
!c get stuff from other CPU's
call shiftf2(Uvel,ubf)
call shiftb2(Uvel,ubb)
if (periodicy.eq.0.or.periodicy.eq.2) then
if (rank.eq.0) then
do k=1,ke
do i=1,ie
Uvel2(i,-1,k) = Uvel(i,0,k)
Uvel2(i,j1+1,k) =Ubb(i,k)
enddo
enddo
elseif (rank.eq.px-1) then
do k=1,ke
do i=1,ie
Uvel2(i,-1,k) = Ubf(i,k)
Uvel2(i,j1+1,k) =Uvel(i,j1,k)
enddo
enddo
else
do k=1,ke
do i=1,ie
Uvel2(i,-1,k) = Ubf(i,k)
Uvel2(i,j1+1,k) =Ubb(i,k)
enddo
enddo
endif
else
do k=1,ke
do i=1,ie
Uvel2(i,-1,k) = Ubf(i,k)
Uvel2(i,j1+1,k) =Ubb(i,k)
enddo
enddo
endif
call shiftf3(Uvel,ubf)
call shiftb3(Uvel,ubb)
if (periodicy.eq.0.or.periodicy.eq.2) then
if (rank.eq.0) then
do k=1,ke
do i=1,ie
Uvel2(i,-2,k) = Uvel(i,0,k)
Uvel2(i,j1+2,k) =Ubb(i,k)
enddo
enddo
elseif (rank.eq.px-1) then
do k=1,ke
do i=1,ie
Uvel2(i,-2,k) = Ubf(i,k)
Uvel2(i,j1+2,k) =Uvel(i,j1,k)
enddo
enddo
else
do k=1,ke
do i=1,ie
Uvel2(i,-2,k) = Ubf(i,k)
Uvel2(i,j1+2,k) =Ubb(i,k)
enddo
enddo
endif
else
do k=1,ke
do i=1,ie
Uvel2(i,-2,k) = Ubf(i,k)
Uvel2(i,j1+2,k) =Ubb(i,k)
enddo
enddo
endif
if (periodicx.eq.0.or.periodicx.eq.2) then
Uvel2(-2,0:j1,0:k1)=Uvel(0,0:j1,0:k1)
Uvel2(-1,0:j1,0:k1)=Uvel(0,0:j1,0:k1)
Uvel2(i1+1,0:j1,0:k1)=Uvel(ie,0:j1,0:k1)
Uvel2(i1+2,0:j1,0:k1)=Uvel(ie,0:j1,0:k1)
else
Uvel2(-2,0:j1,0:k1)=Uvel(ie-2,0:j1,0:k1)
Uvel2(-1,0:j1,0:k1)=Uvel(ie-1,0:j1,0:k1)
Uvel2(i1+1,0:j1,0:k1)=Uvel(2,0:j1,0:k1)
Uvel2(i1+2,0:j1,0:k1)=Uvel(3,0:j1,0:k1)
endif
Uvel2(0:i1,0:j1,-2)=Uvel(0:i1,0:j1,0)
Uvel2(0:i1,0:j1,-1)=Uvel(0:i1,0:j1,0)
Uvel2(0:i1,0:j1,k1+1)=Uvel(0:i1,0:j1,ke)
Uvel2(0:i1,0:j1,k1+2)=Uvel(0:i1,0:j1,ke)
if (wd.eq.1) then
Vvel2(0:i1,0:j1,0:k1)=Vvel
!c get stuff from other CPU's
call shiftf2(Vvel,ubf)
call shiftb2(Vvel,ubb)
if (periodicy.eq.0.or.periodicy.eq.2) then
if (rank.eq.0) then
do k=0,k1
do i=0,i1 !passing inflow bc at i=0 and i=i1 correctly
Vvel2(i,j1+1,k) =Ubb(i,k)
Vvel2(i,-1,k) = Vvel(i,0,k)
enddo
enddo
elseif (rank.eq.px-1) then
do k=0,k1
do i=0,i1 !passing inflow bc at i=0 and i=i1 correctly
Vvel2(i,j1,k) =Vvel(i,je,k)
Vvel2(i,j1+1,k) =Vvel(i,je,k)
Vvel2(i,-1,k) = Ubf(i,k)
enddo
enddo
else
do k=0,k1
do i=0,i1 !passing inflow bc at i=0 and i=i1 correctly
Vvel2(i,-1,k) = Ubf(i,k)
Vvel2(i,j1+1,k) =Ubb(i,k)
enddo
enddo
endif
else
do k=0,k1
do i=0,i1 !passing inflow bc at i=0 and i=i1 correctly
Vvel2(i,-1,k) = Ubf(i,k)
Vvel2(i,j1+1,k) =Ubb(i,k)
enddo
enddo
endif
call shiftf3(Vvel,ubf)
call shiftb3(Vvel,ubb)
if (periodicy.eq.0.or.periodicy.eq.2) then
if (rank.eq.0) then
do k=0,k1
do i=0,i1 !passing inflow bc at i=0 and i=i1 correctly
Vvel2(i,-2,k) = Vvel(i,0,k)
Vvel2(i,j1+2,k) =Ubb(i,k)
enddo
enddo
elseif (rank.eq.px-1) then
do k=0,k1
do i=0,i1 !passing inflow bc at i=0 and i=i1 correctly
Vvel2(i,-2,k) = Ubf(i,k)
Vvel2(i,j1+2,k) =Vvel(i,je,k)
enddo
enddo
else
do k=0,k1
do i=0,i1 !passing inflow bc at i=0 and i=i1 correctly
Vvel2(i,-2,k) = Ubf(i,k)
Vvel2(i,j1+2,k) =Ubb(i,k)
enddo
enddo
endif
else
do k=0,k1
do i=0,i1 !passing inflow bc at i=0 and i=i1 correctly
Vvel2(i,-2,k) = Ubf(i,k)
Vvel2(i,j1+2,k) =Ubb(i,k)
enddo
enddo
endif
if (periodicx.eq.0.or.periodicx.eq.2) then
Vvel2(-1,-2:j1+2,0:k1)= Vvel2(0,-2:j1+2,0:k1)
Vvel2(-2,-2:j1+2,0:k1)= Vvel2(0,-2:j1+2,0:k1)
Vvel2(i1+1,-2:j1+2,0:k1)=Vvel2(i1,-2:j1+2,0:k1)
Vvel2(i1+2,-2:j1+2,0:k1)=Vvel2(i1,-2:j1+2,0:k1)
else
Vvel2(-1,-2:j1+2,0:k1)= Vvel2(ie-1,-2:j1+2,0:k1)
Vvel2(-2,-2:j1+2,0:k1)= Vvel2(ie-2,-2:j1+2,0:k1)
Vvel2(i1+1,-2:j1+2,0:k1)=Vvel2(2,-2:j1+2,0:k1)
Vvel2(i1+2,-2:j1+2,0:k1)=Vvel2(3,-2:j1+2,0:k1)
endif
! !22-12-2017: test bc bed Uvel=0 (if it works also at immersed boundary all is fine! and with U(i,j,-1)=U(i,j,0) wiggly time-avg results for periodic turb channel MKM near bed.
Vvel2(-2:i1+2,-2:j1+2,-1)= Vvel2(-2:i1+2,-2:j1+2,0)
Vvel2(-2:i1+2,-2:j1+2,-2)= Vvel2(-2:i1+2,-2:j1+2,0)
Vvel2(-2:i1+2,-2:j1+2,k1+1)=Vvel2(-2:i1+2,-2:j1+2,k1)
Vvel2(-2:i1+2,-2:j1+2,k1+2)=Vvel2(-2:i1+2,-2:j1+2,k1)
Wvel2(0:i1,0:j1,0:k1)=Wvel
!c get stuff from other CPU's
call shiftf2(Wvel,ubf)
call shiftb2(Wvel,ubb)
if (periodicy.eq.0.or.periodicy.eq.2) then
if (rank.eq.0) then
do k=0,k1
do i=0,i1 !passing inflow bc at i=0 and i=i1 correctly
Wvel2(i,j1+1,k) =Ubb(i,k)
Wvel2(i,-1,k) = Wvel(i,0,k)
enddo
enddo
elseif (rank.eq.px-1) then
do k=0,k1
do i=0,i1 !passing inflow bc at i=0 and i=i1 correctly
Wvel2(i,j1+1,k) =Wvel(i,j1,k)
Wvel2(i,-1,k) = Ubf(i,k)
enddo
enddo
else
do k=0,k1
do i=0,i1 !passing inflow bc at i=0 and i=i1 correctly
Wvel2(i,-1,k) = Ubf(i,k)
Wvel2(i,j1+1,k) =Ubb(i,k)
enddo
enddo
endif
else
do k=0,k1
do i=0,i1 !passing inflow bc at i=0 and i=i1 correctly
Wvel2(i,-1,k) = Ubf(i,k)
Wvel2(i,j1+1,k) =Ubb(i,k)
enddo
enddo
endif
call shiftf3(Wvel,ubf)
call shiftb3(Wvel,ubb)
if (periodicy.eq.0.or.periodicy.eq.2) then
if (rank.eq.0) then
do k=0,k1
do i=0,i1 !passing inflow bc at i=0 and i=i1 correctly
Wvel2(i,j1+2,k) =Ubb(i,k)
Wvel2(i,-2,k) = Wvel(i,0,k)
enddo
enddo
elseif (rank.eq.px-1) then
do k=0,k1
do i=0,i1 !passing inflow bc at i=0 and i=i1 correctly
Wvel2(i,j1+2,k) =Wvel(i,j1,k)
Wvel2(i,-2,k) = Ubf(i,k)
enddo
enddo
else
do k=0,k1
do i=0,i1 !passing inflow bc at i=0 and i=i1 correctly
Wvel2(i,-2,k) = Ubf(i,k)
Wvel2(i,j1+2,k) =Ubb(i,k)
enddo
enddo
endif
else
do k=0,k1
do i=0,i1 !passing inflow bc at i=0 and i=i1 correctly
Wvel2(i,-2,k) = Ubf(i,k)
Wvel2(i,j1+2,k) =Ubb(i,k)
enddo
enddo
endif
if (periodicx.eq.0.or.periodicx.eq.2) then
Wvel2(-1,-2:j1+2,0:k1)= Wvel2(0,-2:j1+2,0:k1)
Wvel2(-2,-2:j1+2,0:k1)= Wvel2(0,-2:j1+2,0:k1)
Wvel2(i1+1,-2:j1+2,0:k1)=Wvel2(i1,-2:j1+2,0:k1)
Wvel2(i1+2,-2:j1+2,0:k1)=Wvel2(i1,-2:j1+2,0:k1)
else
Wvel2(-1,-2:j1+2,0:k1)= Wvel2(ie-1,-2:j1+2,0:k1)
Wvel2(-2,-2:j1+2,0:k1)= Wvel2(ie-2,-2:j1+2,0:k1)
Wvel2(i1+1,-2:j1+2,0:k1)=Wvel2(2,-2:j1+2,0:k1)
Wvel2(i1+2,-2:j1+2,0:k1)=Wvel2(3,-2:j1+2,0:k1)
endif
Wvel2(-2:i1+2,-2:j1+2,-1)= Wvel2(-2:i1+2,-2:j1+2,0)
Wvel2(-2:i1+2,-2:j1+2,-2)= Wvel2(-2:i1+2,-2:j1+2,0)
Wvel2(-2:i1+2,-2:j1+2,k1+1)=Wvel2(-2:i1+2,-2:j1+2,k1)
Wvel2(-2:i1+2,-2:j1+2,k1+2)=Wvel2(-2:i1+2,-2:j1+2,k1)
do k=1,k1
kp=k+1
km=k-1
kpp=k+2 !MIN(k+2,k1)
kmm=k-2 !MAX(k-2,0)
do j=1,j1
jp=j+1
jm=j-1
jpp=j+2
jmm=j-2
do i=1,i1
ip=i+1
im=i-1
ipp=i+2
imm=i-2
!Wiggle detector Sagaut 2001/PhD Simon 2003:
!wwdd only on own directions of U,V,W gave best results in combination with grow/decrease factor 0.001
wwdd(1)=MIN((Uvel2(ip,j ,k )-Uvel2(i,j,k))*(Uvel2(i,j,k)-Uvel2(im,j ,k )),0.)
& *MIN((Uvel2(i,j,k)-Uvel2(im,j ,k ))*(Uvel2(im,j ,k )-Uvel2(imm,j ,k )),0.)
wwdd(2)=MIN((Vvel2(i ,jp,k )-Vvel2(i,j,k))*(Vvel2(i,j,k)-Vvel2(i ,jm,k )),0.)
& *MIN((Vvel2(i,j,k)-Vvel2(i ,jm,k ))*(Vvel2(i ,jm,k )-Vvel2(i ,jmm,k )),0.)
wwdd(3)=MIN((Wvel2(i ,j ,kp)-Wvel2(i,j,k))*(Wvel2(i,j,k)-Wvel2(i ,j ,km)),0.)
& *MIN((Wvel2(i,j,k)-Wvel2(i ,j ,km))*(Wvel2(i ,j ,km)-Wvel2(i ,j ,kmm)),0.)
u4mag=((0.5*(Uvel2(i,j,k)+Uvel2(im,j,k)))**2+(0.5*(Vvel2(i,j,k)+Vvel2(i,jm,k)))**2+
& (0.5*(Wvel2(i,j,k)+Wvel2(i,j,km)))**2)
u4mag=u4mag+1e-12
wwdd=wwdd/u4mag
IF (MAXVAL(wwdd).gt.1.e-12) THEN
wf(i,j,k)=MIN(1.,wf(i,j,k)+0.001) !wf(i,j,k)=1.
ELSE
wf(i,j,k)=MAX(nd2,wf(i,j,k)-0.001) !wf(i,j,k)=0.
ENDIF
enddo
enddo
enddo
endif ! wf=1. is already default when wiggle_detector==0
Ax=37.
Bx=-8.
Cx=1.
DDx=1./(Ax+Bx+Cx)
Ay=37.
By=-8.
Cy=1.
DDy=1./(Ay+By+Cy)
Az=37.
Bz=-8.
Cz=1.
DDz=1./(Az+Bz+Cz)
dzi=1./dz
do k=kb,ke
kp=k+1
km=k-1
kpp=k+2
kppp=k+3
kmm=k-2
kmmm=k-3
do j=jb,je
jp=j+1
jm=j-1
jpp=j+2
jppp=j+3
jmm=j-2
jmmm=j-3
do i=ib,ie
ip=i+1
im=i-1
ipp=i+2
ippp=i+3
imm=i-2
immm=i-3
!!rhojp =0.25*(rho(i,j,k)+rho(i,jp,k)+rho(ip,j,k)+rho(ip,jp,k))
!!rhojm =0.25*(rho(i,j,k)+rho(i,jm,k)+rho(ip,j,k)+rho(ip,jm,k))
!!rhokp =0.25*(rho(i,j,k)+rho(i,j,kp)+rho(ip,j,k)+rho(ip,j,kp))
!!rhokm =0.25*(rho(i,j,k)+rho(i,j,km)+rho(ip,j,k)+rho(ip,j,km))
!!uuR=(Uvel(i,j,k)+Uvel(ip,j,k))*rho(ip,j,k)*Rp(ip)
!!uuL=(Uvel(i,j,k)+Uvel(im,j,k))*rho(i,j,k)*Rp(i)
!!vvR=(Vvel(i,j,k)+Vvel(ip,j,k))*rhojp
!!vvL=(Vvel(i,jm,k)+Vvel(ip,jm,k))*rhojm
!!wwR=(Wvel(i,j,k)+Wvel(ip,j,k))*rhokp
!!wwL=(Wvel(i,j,km)+Wvel(ip,j,km))*rhokm
uuR=(Uvel(i,j,k)*rhU(i,j,k)+Uvel(ip,j,k)*rhU(ip,j,k))*Rp(ip)
uuL=(Uvel(i,j,k)*rhU(i,j,k)+Uvel(im,j,k)*rhU(im,j,k))*Rp(i)
vvR=(Vvel(i,j,k)*rhV(i,j,k)+Vvel(ip,j,k)*rhV(ip,j,k))
vvL=(Vvel(i,jm,k)*rhV(i,jm,k)+Vvel(ip,jm,k)*rhV(ip,jm,k))
wwR=(Wvel(i,j,k)*rhW(i,j,k)+Wvel(ip,j,k)*rhW(ip,j,k))
wwL=(Wvel(i,j,km)*rhW(i,j,km)+Wvel(ip,j,km)*rhW(ip,j,km))
numdif2=numdif*(wf(i,j,k)+wf(i+1,j,k))*0.5
putout(i,j,k) = 0.0
putout(i,j,k) = - 0.25 * (
1 (uuR * DDx*(Ax*(Uvel2(i,j,k)+Uvel2(ip,j,k))+Bx*(Uvel2(im,j,k)+Uvel2(ipp,j,k))+Cx*(Uvel2(imm,j,k)+Uvel2(ippp,j,k)))-
1 numdif2*
1 ABS(uuR)* Cx*(10.*(-Uvel2(i,j,k)+Uvel2(ip,j,k))-5.*(-Uvel2(im,j,k)+Uvel2(ipp,j,k))+(-Uvel2(imm,j,k)+Uvel2(ippp,j,k))) -
1 (uuL * DDx*(Ax*(Uvel2(im,j,k)+Uvel2(i,j,k))+Bx*(Uvel2(imm,j,k)+Uvel2(ip,j,k))+Cx*(Uvel2(immm,j,k)+Uvel2(ipp,j,k)))-
1 numdif2*
1 ABS(uuL)* Cx*(10.*(-Uvel2(im,j,k)+Uvel2(i,j,k))-5.*(-Uvel2(imm,j,k)+Uvel2(ip,j,k))+(-Uvel2(immm,j,k)+Uvel2(ipp,j,k)))) )
1 / ( Ru(i) * ( Rp(ip)-Rp(i) ) )
+ +
2 (vvR * DDy*(Ay*(Uvel2(i,j,k)+Uvel2(i,jp,k))+By*(Uvel2(i,jm,k)+Uvel2(i,jpp,k))+Cy*(Uvel2(i,jmm,k)+Uvel2(i,jppp,k)))-
2 numdif2*
2 ABS(vvR)* Cy*(10.*(-Uvel2(i,j,k)+Uvel2(i,jp,k))-5.*(-Uvel2(i,jm,k)+Uvel2(i,jpp,k))+(-Uvel2(i,jmm,k)+Uvel2(i,jppp,k))) -
2 (vvL * DDy*(Ay*(Uvel2(i,jm,k)+Uvel2(i,j,k))+By*(Uvel2(i,jmm,k)+Uvel2(i,jp,k))+Cy*(Uvel2(i,jmmm,k)+Uvel2(i,jpp,k)))-
2 numdif2*
2 ABS(vvL)* Cy*(10.*(-Uvel2(i,jm,k)+Uvel2(i,j,k))-5.*(-Uvel2(i,jmm,k)+Uvel2(i,jp,k))+(-Uvel2(i,jmmm,k)+Uvel2(i,jpp,k)))) )
2 / ( Ru(i) * (phiv(j)-phiv(jm)) )
+ +
3 (wwR * DDz*(Az*(Uvel2(i,j,k)+Uvel2(i,j,kp))+Bz*(Uvel2(i,j,km)+Uvel2(i,j,kpp))+Cz*(Uvel2(i,j,kmm)+Uvel2(i,j,kppp)))-
3 numdif2*
3 ABS(wwR)* Cz*(10.*(-Uvel2(i,j,k)+Uvel2(i,j,kp))-5.*(-Uvel2(i,j,km)+Uvel2(i,j,kpp))+(-Uvel2(i,j,kmm)+Uvel2(i,j,kppp))) -
3 (wwL * DDz*(Az*(Uvel2(i,j,km)+Uvel2(i,j,k))+Bz*(Uvel2(i,j,kmm)+Uvel2(i,j,kp))+Cz*(Uvel2(i,j,kmmm)+Uvel2(i,j,kpp)))-
3 numdif2*
3 ABS(wwL)* Cz*(10.*(-Uvel2(i,j,km)+Uvel2(i,j,k))-5.*(-Uvel2(i,j,kmm)+Uvel2(i,j,kp))+(-Uvel2(i,j,kmmm)+Uvel2(i,j,kpp)))) )
3 *dzi
+ -
4 0.5*(rho(i,j,k)+rho(ip,j,k))*( Vvel(i,j,k) + Vvel(ip,j,k) + Vvel(i,jm,k) + Vvel(ip,jm,k) )**2
4 / ( 4.0 * Ru(i) )
+ )
enddo
enddo
enddo
return
end
subroutine advecv_CDS6(putout,Uvel,Vvel,Wvel,RHO,rhU,rhV,rhW,Ru,Rp,dr,phiv,dz,
+ i1,j1,k1,ib,ie,jb,je,kb,ke,rank,px,numdif,periodicx,periodicy,wf,wd)
implicit none
c
c********************************************************************
c
c advecv calculates the advection of the v-velocity, which is
c the velocity in the tangential direction.
c
c In formula:
c
c 1 d(ruv) 1 d(vv) d(vw) uv
c - ( - ------ + - ----- + ----- + -- )
c r dr r dphi dz r
c
c on input :
c
c putout : "empty" (initialised to zero)
c Uvel,Vvel,Wvel : contain velocities at former timestep
c Vtmp : contains velocity at oldest timestep
c dr,phiv,dz : grid spacing in r, phi and z-direction
c i1,j1,k1 : parameters for array-dimensions
c ib,ie,jb,je,kb,ke : range of gridpoints for which the
c advection has to be calculated
c Ru,Rp : radial positions of the U-velocity
c component and the pressure location
c respectively
c
c on output :
c
c putout : advection part
c other parameters : all unchanged
c
c********************************************************************
integer i,j,k,im,ip,jm,jp,km,kp,i1,j1,k1,ib,ie,jb,je,kb,ke
real putout(0:i1,0:j1,0:k1),Uvel(0:i1,0:j1,0:k1),
+ Vvel(0:i1,0:j1,0:k1),Wvel(0:i1,0:j1,0:k1),
+ dr(0:i1),phiv(0:j1),dz,Ru(0:i1),Rp(0:i1)
real rho(0:i1,0:j1,0:k1),dzi
real rhoip,rhoim,rhojp,rhojm,rhokp,rhokm
real Ax,Bx,Cx,DDx
real Ay,By,Cy,DDy,numdif
real Az,Bz,Cz,DDz
real uuR,uuL,vvR,vvL,wwR,wwL
integer kpp,kppp,kmm,kmmm,jpp,jppp,jmm,jmmm,ipp,ippp,imm,immm,rank,px,periodicx,periodicy,wd
real*8 ubb(0:i1,0:k1),ubf(0:i1,0:k1),Vvel2(-2:i1+2,-2:j1+2,-2:k1+2)
real numdif2,wf(0:i1,0:j1,0:k1)
real rhU(0:i1,0:j1,0:k1),rhV(0:i1,0:j1,0:k1),rhW(0:i1,0:j1,0:k1)
Vvel2(0:i1,0:j1,0:k1)=Vvel
!c get stuff from other CPU's
call shiftf2(Vvel,ubf)
call shiftb2(Vvel,ubb)
if (periodicy.eq.0.or.periodicy.eq.2) then
if (rank.eq.0) then
do k=1,ke
do i=1,ie
Vvel2(i,j1+1,k) =Ubb(i,k)
Vvel2(i,-1,k) = Vvel(i,0,k)
enddo
enddo
elseif (rank.eq.px-1) then
do k=1,ke
do i=1,ie
Vvel2(i,j1,k) =Vvel(i,je,k)
Vvel2(i,j1+1,k) =Vvel(i,je,k)
Vvel2(i,-1,k) = Ubf(i,k)
enddo
enddo
else
do k=1,ke
do i=1,ie
Vvel2(i,-1,k) = Ubf(i,k)
Vvel2(i,j1+1,k) =Ubb(i,k)
enddo
enddo
endif
else
do k=1,ke
do i=1,ie
Vvel2(i,-1,k) = Ubf(i,k)
Vvel2(i,j1+1,k) =Ubb(i,k)
enddo
enddo
endif
call shiftf3(Vvel,ubf)
call shiftb3(Vvel,ubb)
if (periodicy.eq.0.or.periodicy.eq.2) then
if (rank.eq.0) then
do k=1,ke
do i=1,ie
Vvel2(i,-2,k) = Vvel(i,0,k)
Vvel2(i,j1+2,k) =Ubb(i,k)
enddo
enddo
elseif (rank.eq.px-1) then
do k=1,ke
do i=1,ie
Vvel2(i,-2,k) = Ubf(i,k)
Vvel2(i,j1+2,k) =Vvel(i,je,k)
enddo
enddo
else
do k=1,ke
do i=1,ie
Vvel2(i,-2,k) = Ubf(i,k)
Vvel2(i,j1+2,k) =Ubb(i,k)
enddo
enddo
endif
else
do k=1,ke
do i=1,ie
Vvel2(i,-2,k) = Ubf(i,k)
Vvel2(i,j1+2,k) =Ubb(i,k)
enddo
enddo
endif
if (periodicx.eq.0.or.periodicx.eq.2) then
Vvel2(-2,0:j1,0:k1)=Vvel(0,0:j1,0:k1)
Vvel2(-1,0:j1,0:k1)=Vvel(0,0:j1,0:k1)
Vvel2(i1+1,0:j1,0:k1)=Vvel(ie,0:j1,0:k1)
Vvel2(i1+2,0:j1,0:k1)=Vvel(ie,0:j1,0:k1)
else
Vvel2(-2,0:j1,0:k1)=Vvel(ie-2,0:j1,0:k1)
Vvel2(-1,0:j1,0:k1)=Vvel(ie-1,0:j1,0:k1)
Vvel2(i1+1,0:j1,0:k1)=Vvel(2,0:j1,0:k1)
Vvel2(i1+2,0:j1,0:k1)=Vvel(3,0:j1,0:k1)
endif
Vvel2(0:i1,0:j1,-2)=Vvel(0:i1,0:j1,0)
Vvel2(0:i1,0:j1,-1)=Vvel(0:i1,0:j1,0)
Vvel2(0:i1,0:j1,k1+1)=Vvel(0:i1,0:j1,ke)
Vvel2(0:i1,0:j1,k1+2)=Vvel(0:i1,0:j1,ke)
Ax=37.
Bx=-8.
Cx=1.
DDx=1./(Ax+Bx+Cx)
Ay=37.
By=-8.
Cy=1.
DDy=1./(Ay+By+Cy)
Az=37.
Bz=-8.
Cz=1.
DDz=1./(Az+Bz+Cz)
dzi=1./dz
do k=kb,ke
kp=k+1
km=k-1
kpp=k+2
kppp=k+3
kmm=k-2
kmmm=k-3
do j=jb,je
jp=j+1
jm=j-1
jpp=j+2
jppp=j+3
jmm=j-2
jmmm=j-3
do i=ib,ie
ip=i+1
im=i-1
ipp=i+2
ippp=i+3
imm=i-2
immm=i-3
!rhoip =0.25*(rho(i,j,k)+rho(ip,j,k)+rho(i,jp,k)+rho(ip,jp,k))
!rhoim =0.25*(rho(i,j,k)+rho(im,j,k)+rho(i,jp,k)+rho(im,jp,k))
!rhojp =rho(i,jp,k)
!rhojm =rho(i,j,k )
!rhokp =0.25*(rho(i,j,k)+rho(i,j,kp)+rho(i,jp,k)+rho(i,jp,kp))
!rhokm =0.25*(rho(i,j,k)+rho(i,j,km)+rho(i,jp,k)+rho(i,jp,km))
!uuR=(Uvel(i,j,k)+Uvel(i,jp,k))*rhoip*Ru(i) !*Ru(i)
!uuL=(Uvel(im,j,k)+Uvel(im,jp,k))*rhoim*Ru(im) !*Ru(im)
!vvR=(Vvel(i,j,k)+Vvel(i,jp,k))*rhojp
!vvL=(Vvel(i,jm,k)+Vvel(i,j,k))*rhojm
!wwR=(Wvel(i,j,k)+Wvel(i,jp,k))*rhokp
!wwL=(Wvel(i,j,km)+Wvel(i,jp,km))*rhokm
uuR=(Uvel(i,j,k)*rhU(i,j,k)+Uvel(i,jp,k)*rhU(i,jp,k))*Ru(i) !*Ru(i)
uuL=(Uvel(im,j,k)*rhU(im,j,k)+Uvel(im,jp,k)*rhU(im,jp,k))*Ru(im) !*Ru(im)
vvR=(Vvel(i,j,k)*rhV(i,j,k)+Vvel(i,jp,k)*rhV(i,jp,k))
vvL=(Vvel(i,jm,k)*rhV(i,jm,k)+Vvel(i,j,k)*rhV(i,j,k))
wwR=(Wvel(i,j,k)*rhW(i,j,k)+Wvel(i,jp,k)*rhW(i,jp,k))
wwL=(Wvel(i,j,km)*rhW(i,j,km)+Wvel(i,jp,km)*rhW(i,jp,km))
numdif2=numdif*(wf(i,j,k)+wf(i,j+1,k))*0.5
putout(i,j,k) = 0.0
putout(i,j,k) = - 0.25 * (
1 (uuR * DDx*(Ax*(Vvel2(i,j,k)+Vvel2(ip,j,k))+Bx*(Vvel2(im,j,k)+Vvel2(ipp,j,k))+Cx*(Vvel2(imm,j,k)+Vvel2(ippp,j,k)))-
1 numdif2*
1 ABS(uuR)* Cx*(10.*(-Vvel2(i,j,k)+Vvel2(ip,j,k))-5.*(-Vvel2(im,j,k)+Vvel2(ipp,j,k))+(-Vvel2(imm,j,k)+Vvel2(ippp,j,k))) -
1 (uuL * DDx*(Ax*(Vvel2(im,j,k)+Vvel2(i,j,k))+Bx*(Vvel2(imm,j,k)+Vvel2(ip,j,k))+Cx*(Vvel2(immm,j,k)+Vvel2(ipp,j,k)))-
1 numdif2*
1 ABS(uuL)* Cx*(10.*(-Vvel2(im,j,k)+Vvel2(i,j,k))-5.*(-Vvel2(imm,j,k)+Vvel2(ip,j,k))+(-Vvel2(immm,j,k)+Vvel2(ipp,j,k)))) )
1 / ( Rp(i)* dr(i) ) !/ ( Rp(i) * Rp(i)* dr(i) )
+ +
2 (vvR * DDy*(Ay*(Vvel2(i,j,k)+Vvel2(i,jp,k))+By*(Vvel2(i,jm,k)+Vvel2(i,jpp,k))+Cy*(Vvel2(i,jmm,k)+Vvel2(i,jppp,k)))-
2 numdif2*
2 ABS(vvR)* Cy*(10.*(-Vvel2(i,j,k)+Vvel2(i,jp,k))-5.*(-Vvel2(i,jm,k)+Vvel2(i,jpp,k))+(-Vvel2(i,jmm,k)+Vvel2(i,jppp,k))) -
2 (vvL * DDy*(Ay*(Vvel2(i,jm,k)+Vvel2(i,j,k))+By*(Vvel2(i,jmm,k)+Vvel2(i,jp,k))+Cy*(Vvel2(i,jmmm,k)+Vvel2(i,jpp,k)))-
2 numdif2*
2 ABS(vvL)* Cy*(10.*(-Vvel2(i,jm,k)+Vvel2(i,j,k))-5.*(-Vvel2(i,jmm,k)+Vvel2(i,jp,k))+(-Vvel2(i,jmmm,k)+Vvel2(i,jpp,k)))) )
2 / ( Rp(i) * (phiv(j)-phiv(jm)) )
+ +
3 (wwR * DDz*(Az*(Vvel2(i,j,k)+Vvel2(i,j,kp))+Bz*(Vvel2(i,j,km)+Vvel2(i,j,kpp))+Cz*(Vvel2(i,j,kmm)+Vvel2(i,j,kppp)))-
3 numdif2*
3 ABS(wwR)* Cz*(10.*(-Vvel2(i,j,k)+Vvel2(i,j,kp))-5.*(-Vvel2(i,j,km)+Vvel2(i,j,kpp))+(-Vvel2(i,j,kmm)+Vvel2(i,j,kppp))) -
3 (wwL * DDz*(Az*(Vvel2(i,j,km)+Vvel2(i,j,k))+Bz*(Vvel2(i,j,kmm)+Vvel2(i,j,kp))+Cz*(Vvel2(i,j,kmmm)+Vvel2(i,j,kpp)))-
3 numdif2*
3 ABS(wwL)* Cz*(10.*(-Vvel2(i,j,km)+Vvel2(i,j,k))-5.*(-Vvel2(i,j,kmm)+Vvel2(i,j,kp))+(-Vvel2(i,j,kmmm)+Vvel2(i,j,kpp)))) )
3 *dzi
+ +
! 4 0.5*(rho(i,j,k)+rho(i,jp,k))*
! 4 ((Uvel(im,j,k)+Uvel(i,j,k))*(Vvel(i,jm,k)+Vvel(i,j,k))+(Uvel(im,jp,k)+Uvel(i,jp,k))*(Vvel(i,jp,k)+Vvel(i,j,k)))
! 4 / ( 2.0*Rp(i) )
4 0.5*(rho(i,j,k)+rho(i,jp,k))*
4 (Uvel(im,j,k)+Uvel(i,j,k)+Uvel(im,jp,k)+Uvel(i,jp,k))*Vvel(i,j,k)
4 / ( Rp(i) )
+ )
enddo
enddo
enddo
return
end
subroutine advecw_CDS6(putout,Uvel,Vvel,Wvel,RHO,rhU,rhV,rhW,Ru,Rp,dr,phiv,dz,
+ i1,j1,k1,ib,ie,jb,je,kb,ke,rank,px,numdif,periodicx,periodicy,wf,wd)
implicit none
c
c********************************************************************
c
c advecw calculates the advection of the w-velocity, which is
c the velocity in the axial direction.
c
c In formula:
c
c 1 d(ruw) 1 d(wv) d(ww)
c - ( - ------ + - ----- + ----- )
c r dr r dphi dz
c
c on input :
c
c putout : "empty" (initialised to zero)
c Uvel,Vvel,Wvel : contain velocities at former timestep
c Wtmp : contains velocity at oldest timestep
c dr,phiv,dz : grid spacing in r, phi and z-direction
c i1,j1,k1 : parameters for array-dimensions
c ib,ie,jb,je,kb,ke : range of gridpoints for which the
c advection has to be calculated
c Ru,Rp : radial positions of the U-velocity
c component and the pressure location
c respectively
c
c on output :
c
c putout : advection part
c other parameters : all unchanged
c
c********************************************************************
integer i,j,k,im,ip,jm,jp,km,kp,i1,j1,k1,ib,ie,jb,je,kb,ke
real putout(0:i1,0:j1,0:k1),Uvel(0:i1,0:j1,0:k1),
+ Vvel(0:i1,0:j1,0:k1),Wvel(0:i1,0:j1,0:k1),
+ dr(0:i1),phiv(0:j1),dz,Ru(0:i1),Rp(0:i1)
real rho(0:i1,0:j1,0:k1),dzi
real rhoip,rhoim,rhojp,rhojm
real Ax,Bx,Cx,DDx
real Ay,By,Cy,DDy
real Az,Bz,Cz,DDz
real uuR,uuL,vvR,vvL,wwR,wwL,numdif
integer kpp,kppp,kmm,kmmm,jpp,jppp,jmm,jmmm,ipp,ippp,imm,immm,rank,px,periodicx,periodicy,wd
real*8 ubb(0:i1,0:k1),ubf(0:i1,0:k1),Wvel2(-2:i1+2,-2:j1+2,-2:k1+2)
real numdif2,wf(0:i1,0:j1,0:k1)
real rhU(0:i1,0:j1,0:k1),rhV(0:i1,0:j1,0:k1),rhW(0:i1,0:j1,0:k1)
Wvel2(0:i1,0:j1,0:k1)=Wvel
!c get stuff from other CPU's
call shiftf2(Wvel,ubf)
call shiftb2(Wvel,ubb)
if (periodicy.eq.0.or.periodicy.eq.2) then
if (rank.eq.0) then
do k=1,ke
do i=1,ie
Wvel2(i,j1+1,k) =Ubb(i,k)
Wvel2(i,-1,k) = Wvel(i,0,k)
enddo
enddo
elseif (rank.eq.px-1) then
do k=1,ke
do i=1,ie
Wvel2(i,j1+1,k) =Wvel(i,j1,k)
Wvel2(i,-1,k) = Ubf(i,k)
enddo
enddo
else
do k=1,ke
do i=1,ie
Wvel2(i,-1,k) = Ubf(i,k)
Wvel2(i,j1+1,k) =Ubb(i,k)
enddo
enddo
endif
else
do k=1,ke
do i=1,ie
Wvel2(i,-1,k) = Ubf(i,k)
Wvel2(i,j1+1,k) =Ubb(i,k)
enddo
enddo
endif
call shiftf3(Wvel,ubf)
call shiftb3(Wvel,ubb)
if (periodicy.eq.0.or.periodicy.eq.2) then
if (rank.eq.0) then
do k=1,ke
do i=1,ie
Wvel2(i,j1+2,k) =Ubb(i,k)
Wvel2(i,-2,k) = Wvel(i,0,k)
enddo
enddo
elseif (rank.eq.px-1) then
do k=1,ke
do i=1,ie
Wvel2(i,j1+2,k) =Wvel(i,j1,k)
Wvel2(i,-2,k) = Ubf(i,k)
enddo
enddo
else
do k=1,ke
do i=1,ie
Wvel2(i,-2,k) = Ubf(i,k)
Wvel2(i,j1+2,k) =Ubb(i,k)
enddo
enddo
endif
else
do k=1,ke
do i=1,ie
Wvel2(i,-2,k) = Ubf(i,k)
Wvel2(i,j1+2,k) =Ubb(i,k)
enddo
enddo
endif
if (periodicx.eq.0.or.periodicx.eq.2) then
Wvel2(-2,0:j1,0:k1)=Wvel(0,0:j1,0:k1)
Wvel2(-1,0:j1,0:k1)=Wvel(0,0:j1,0:k1)
Wvel2(i1+1,0:j1,0:k1)=Wvel(ie,0:j1,0:k1)
Wvel2(i1+2,0:j1,0:k1)=Wvel(ie,0:j1,0:k1)
else
Wvel2(-2,0:j1,0:k1)=Wvel(ie-2,0:j1,0:k1)
Wvel2(-1,0:j1,0:k1)=Wvel(ie-1,0:j1,0:k1)
Wvel2(i1+1,0:j1,0:k1)=Wvel(2,0:j1,0:k1)
Wvel2(i1+2,0:j1,0:k1)=Wvel(3,0:j1,0:k1)
endif
Wvel2(0:i1,0:j1,-2)=Wvel(0:i1,0:j1,0)
Wvel2(0:i1,0:j1,-1)=Wvel(0:i1,0:j1,0)
Wvel2(0:i1,0:j1,k1)=Wvel(0:i1,0:j1,ke)
Wvel2(0:i1,0:j1,k1+1)=Wvel(0:i1,0:j1,ke)
Wvel2(0:i1,0:j1,k1+2)=Wvel(0:i1,0:j1,ke)
dzi=1./dz
Ax=37.
Bx=-8.
Cx=1.
DDx=1./(Ax+Bx+Cx)
Ay=37.
By=-8.
Cy=1.
DDy=1./(Ay+By+Cy)
Az=37.
Bz=-8.
Cz=1.
DDz=1./(Az+Bz+Cz)
do k=kb,ke
kp=k+1
km=k-1
kpp=k+2
kppp=k+3
kmm=k-2
kmmm=k-3
do j=jb,je
jp=j+1
jm=j-1
jpp=j+2
jppp=j+3
jmm=j-2
jmmm=j-3
do i=ib,ie
ip=i+1
im=i-1
ipp=i+2
ippp=i+3
imm=i-2
immm=i-3
!! rhoip =0.25*(rho(i,j,k)+rho(i,j,kp)+rho(ip,j,k)+rho(ip,j,kp))
!! rhoim =0.25*(rho(i,j,k)+rho(i,j,kp)+rho(im,j,k)+rho(im,j,kp))
!! rhojp =0.25*(rho(i,j,k)+rho(i,j,kp)+rho(i,jp,k)+rho(i,jp,kp))
!! rhojm =0.25*(rho(i,j,k)+rho(i,j,kp)+rho(i,jm,k)+rho(i,jm,kp))
!! uuR=(Uvel(i,j,k)+Uvel(i,j,kp))*rhoip*Ru(i)
!! uuL=(Uvel(im,j,k)+Uvel(im,j,kp))*rhoim*Ru(im)
!! vvR=(Vvel(i,j,k)+Vvel(i,j,kp))*rhojp
!! vvL=(Vvel(i,jm,k)+Vvel(i,jm,kp))*rhojm
!! wwR=(Wvel(i,j,k)+Wvel(i,j,kp))*rho(i,j,kp)
!! wwL=(Wvel(i,j,k)+Wvel(i,j,km))*rho(i,j,k)
uuR=(Uvel(i,j,k)*rhU(i,j,k)+Uvel(i,j,kp)*rhU(i,j,kp))*Ru(i)
uuL=(Uvel(im,j,k)*rhU(im,j,k)+Uvel(im,j,kp)*rhU(im,j,kp))*Ru(im)
vvR=(Vvel(i,j,k)*rhV(i,j,k)+Vvel(i,j,kp)*rhV(i,j,kp))
vvL=(Vvel(i,jm,k)*rhV(i,jm,k)+Vvel(i,jm,kp)*rhV(i,jm,kp))
wwR=(Wvel(i,j,k)*rhW(i,j,k)+Wvel(i,j,kp)*rhW(i,j,kp))
wwL=(Wvel(i,j,k)*rhW(i,j,k)+Wvel(i,j,km)*rhW(i,j,km))
numdif2=numdif*(wf(i,j,k)+wf(i,j,k+1))*0.5
putout(i,j,k) = 0.0
putout(i,j,k) = - 0.25 * (
1 (uuR * DDx*(Ax*(Wvel2(i,j,k)+Wvel2(ip,j,k))+Bx*(Wvel2(im,j,k)+Wvel2(ipp,j,k))+Cx*(Wvel2(imm,j,k)+Wvel2(ippp,j,k)))-
1 numdif2*
1 ABS(uuR)* Cx*(10.*(-Wvel2(i,j,k)+Wvel2(ip,j,k))-5.*(-Wvel2(im,j,k)+Wvel2(ipp,j,k))+(-Wvel2(imm,j,k)+Wvel2(ippp,j,k))) -
1 (uuL * DDx*(Ax*(Wvel2(im,j,k)+Wvel2(i,j,k))+Bx*(Wvel2(imm,j,k)+Wvel2(ip,j,k))+Cx*(Wvel2(immm,j,k)+Wvel2(ipp,j,k)))-
1 numdif2*
1 ABS(uuL)* Cx*(10.*(-Wvel2(im,j,k)+Wvel2(i,j,k))-5.*(-Wvel2(imm,j,k)+Wvel2(ip,j,k))+(-Wvel2(immm,j,k)+Wvel2(ipp,j,k)))) )
1 / ( Rp(i)* dr(i) )
+ +
2 (vvR * DDy*(Ay*(Wvel2(i,j,k)+Wvel2(i,jp,k))+By*(Wvel2(i,jm,k)+Wvel2(i,jpp,k))+Cy*(Wvel2(i,jmm,k)+Wvel2(i,jppp,k)))-
2 numdif2*
2 ABS(vvR)* Cy*(10.*(-Wvel2(i,j,k)+Wvel2(i,jp,k))-5.*(-Wvel2(i,jm,k)+Wvel2(i,jpp,k))+(-Wvel2(i,jmm,k)+Wvel2(i,jppp,k))) -
2 (vvL * DDy*(Ay*(Wvel2(i,jm,k)+Wvel2(i,j,k))+By*(Wvel2(i,jmm,k)+Wvel2(i,jp,k))+Cy*(Wvel2(i,jmmm,k)+Wvel2(i,jpp,k)))-
2 numdif2*
2 ABS(vvL)* Cy*(10.*(-Wvel2(i,jm,k)+Wvel2(i,j,k))-5.*(-Wvel2(i,jmm,k)+Wvel2(i,jp,k))+(-Wvel2(i,jmmm,k)+Wvel2(i,jpp,k)))) )
2 / ( Rp(i) * (phiv(j)-phiv(jm)) )
+ +
3 (wwR * DDz*(Az*(Wvel2(i,j,k)+Wvel2(i,j,kp))+Bz*(Wvel2(i,j,km)+Wvel2(i,j,kpp))+Cz*(Wvel2(i,j,kmm)+Wvel2(i,j,kppp)))-
3 numdif2*
3 ABS(wwR)* Cz*(10.*(-Wvel2(i,j,k)+Wvel2(i,j,kp))-5.*(-Wvel2(i,j,km)+Wvel2(i,j,kpp))+(-Wvel2(i,j,kmm)+Wvel2(i,j,kppp))) -
3 (wwL * DDz*(Az*(Wvel2(i,j,km)+Wvel2(i,j,k))+Bz*(Wvel2(i,j,kmm)+Wvel2(i,j,kp))+Cz*(Wvel2(i,j,kmmm)+Wvel2(i,j,kpp)))-
3 numdif2*
3 ABS(wwL)* Cz*(10.*(-Wvel2(i,j,km)+Wvel2(i,j,k))-5.*(-Wvel2(i,j,kmm)+Wvel2(i,j,kp))+(-Wvel2(i,j,kmmm)+Wvel2(i,j,kpp)))) )
3 *dzi
+ )
enddo
enddo
enddo
return
end
subroutine advecc_UPW5(putout,putin,Uvel,Vvel,Wvel,RHO,Ru,Rp,dr,phiv,dz,
+ i1,j1,k1,ib,ie,jb,je,kb,ke,dt,rank,px,periodicx,periodicy)
implicit none
c
c********************************************************************
c
c advecc_UPW5 calculates the advection for a scalar variable, which is
c situated in the center point of the grid cell.
c UPW5 schematization is used, but in test turned out to be unstable because of too large under/overshoot
c
c In formula:
c
c 1 d(ruC) 1 d(vC) d(wC)
c - ( - ------ + - ----- + ----- )
c r dr r dphi dz
c
c on input :
c
c putout : "empty" (initialised to zero)
c putin : variable for which the advection has
c to be calculated
c Uvel,Vvel,Wvel : contain velocities at former timestep
c putinn : contains subgrid energy at oldest timestep
c dr,phiv,dz : grid spacing in r, phi and z-direction
c i1,j1,k1 : parameters for array-dimensions
c ib,ie,jb,je,kb,ke : range of gridpoints for which the
c advection has to be calculated
c Ru,Rp : radial positions of the U-velocity
c component and the pressure location
c respectively
c
c on output :
c
c putout : advection part
c other parameters : all unchanged
c
c********************************************************************
integer i,j,k,im,ip,jm,jp,km,kp,i1,j1,k1,ib,ie,jb,je,kb,ke
real putout(0:i1,0:j1,0:k1),putin(0:i1,0:j1,0:k1),Uvel(0:i1,0:j1,0:k1),
+ Vvel(0:i1,0:j1,0:k1),Wvel(0:i1,0:j1,0:k1),
+ dr(0:i1),phiv(0:j1),dz,Ru(0:i1),Rp(0:i1),dt
real rho(0:i1,0:j1,0:k1),numdif,dzi
real rhoip,rhoim,rhojp,rhojm,rhokp,rhokm
real Ax,Bx,Cx,DDx
real Ay,By,Cy,DDy
real Az,Bz,Cz,DDz
real uuR,uuL,vvR,vvL,wwR,wwL
integer kpp,kppp,kmm,kmmm,jpp,jppp,jmm,jmmm,ipp,ippp,imm,immm,rank,px,periodicx,periodicy
real*8 pbb(0:i1,0:k1),pbf(0:i1,0:k1),putin2(-2:i1+2,-2:j1+2,-2:k1+2)
numdif=1./60. ! upwind5
putin2(0:i1,0:j1,0:k1)=putin
!c get stuff from other CPU's
call shiftf2(putin,pbf)
call shiftb2(putin,pbb)
if (periodicy.eq.0.or.periodicy.eq.2) then
if (rank.eq.0) then
do k=1,ke
do i=1,ie
putin2(i,-1,k) = putin(i,0,k)
putin2(i,j1+1,k) =pbb(i,k)