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diff_compact.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 stress_terms(Uvel,Vvel,Wvel,ib,ie,jb,je,kb,ke)
USE nlist
implicit none
include 'mpif.h'
c
c*****************************************************************
! determine stress terms:
! Srr, Spr, Szr, Spp, Spz, Szz
! with
! r : r-direction
! p : phi-direction
! z : z-direction
c
c*****************************************************************
integer im,ip,jm,jp,km,kp,ib,ie,jb,je,kb,ke
real Uvel(0:i1,0:j1,0:k1),Vvel(0:i1,0:j1,0:k1),Wvel(0:i1,0:j1,0:k1),
+ eppo,epmo,epop,epom
real divv
real aax_1ie(1:ie),bbx_1ie(1:ie),ccx_1ie(1:ie),ddx_1ie(1:ie)
real aaz_1ke(1:ke),bbz_1ke(1:ke),ccz_1ke(1:ke),ddz_1ke(1:ke)
real aay_1jepx(1:je*px),bby_1jepx(1:je*px),ccy_1jepx(1:je*px),ddy_1jepx(1:je*px)
real aax_0ie(0:ie),bbx_0ie(0:ie),ccx_0ie(0:ie),ddx_0ie(0:ie)
real aay_0jepx(0:je*px),bby_0jepx(0:je*px),ccy_0jepx(0:je*px),ddy_0jepx(0:je*px)
real aaz_0ke(0:ke),bbz_0ke(0:ke),ccz_0ke(0:ke),ddz_0ke(0:ke)
real dvdr(0:ie),dwdr(0:ie),dudrphi_T(0:je*px),dwdrphi_T(0:je*px),dvdz(0:ke),dudz(0:ke)
real Spp_T(1:ie,1:je*px,1:ke/px),Spr_T(0:ie,0:je*px,1:ke/px),Spz_T(1:ie,0:je*px,1:ke/px) !Srr_T(1:ie,1:je*px,1:ke/px)
real Uvel_T(0:ie,0:je*px+1,1:ke/px),Vvel_T(1:ie,0:je*px+1,1:ke/px),Wvel_T(1:ie,0:je*px+1,1:ke/px)
integer ileng,ierr,itag,status(MPI_STATUS_SIZE)
!! first swap u,v,w -> u_T,v_T,w_T
call t2np_i1(Uvel(0:ie,1:je,1:ke),Uvel_T(0:ie,1:je*px,1:ke/px))
call t2np(Vvel(1:ie,1:je,1:ke),Vvel_T(1:ie,1:je*px,1:ke/px))
call t2np(Wvel(1:ie,1:je,1:ke),Wvel_T(1:ie,1:je*px,1:ke/px))
!! also pass over boundaries at j=0 :
IF (rank.eq.0) THEN
do i=1,px-1
call mpi_send(Uvel(0:ie,0,i*ke/px+1:(i+1)*ke/px),i1*ke/px,MPI_REAL8,i,i+100,MPI_COMM_WORLD,status,ierr)
call mpi_send(Vvel(1:ie,0,i*ke/px+1:(i+1)*ke/px),ie*ke/px,MPI_REAL8,i,i+101,MPI_COMM_WORLD,status,ierr)
call mpi_send(Wvel(1:ie,0,i*ke/px+1:(i+1)*ke/px),ie*ke/px,MPI_REAL8,i,i+102,MPI_COMM_WORLD,status,ierr)
enddo
Uvel_T(0:ie,0,1:ke/px)=Uvel(0:ie,0,1:ke/px)
Vvel_T(1:ie,0,1:ke/px)=Vvel(1:ie,0,1:ke/px)
Wvel_T(1:ie,0,1:ke/px)=Wvel(1:ie,0,1:ke/px)
else
call mpi_recv(Uvel_T(0:ie,0,1:ke/px),i1*ke/px,MPI_REAL8,0,rank+100,MPI_COMM_WORLD,status,ierr)
call mpi_recv(Vvel_T(1:ie,0,1:ke/px),ie*ke/px,MPI_REAL8,0,rank+101,MPI_COMM_WORLD,status,ierr)
call mpi_recv(Wvel_T(1:ie,0,1:ke/px),ie*ke/px,MPI_REAL8,0,rank+102,MPI_COMM_WORLD,status,ierr)
endif
!! also pass over boundaries at j=jmax+1 :
IF (rank.eq.px-1) THEN
do i=0,px-2
call mpi_send(Uvel(0:ie,je+1,i*ke/px+1:(i+1)*ke/px),i1*ke/px,MPI_REAL8,i,i+300,MPI_COMM_WORLD,status,ierr)
call mpi_send(Vvel(1:ie,je+1,i*ke/px+1:(i+1)*ke/px),ie*ke/px,MPI_REAL8,i,i+301,MPI_COMM_WORLD,status,ierr)
call mpi_send(Wvel(1:ie,je+1,i*ke/px+1:(i+1)*ke/px),ie*ke/px,MPI_REAL8,i,i+302,MPI_COMM_WORLD,status,ierr)
enddo
Uvel_T(0:ie,je*px+1,1:ke/px)=Uvel(0:ie,je+1,rank*ke/px+1:(rank+1)*ke/px)
Vvel_T(1:ie,je*px+1,1:ke/px)=Vvel(1:ie,je+1,rank*ke/px+1:(rank+1)*ke/px)
Wvel_T(1:ie,je*px+1,1:ke/px)=Wvel(1:ie,je+1,rank*ke/px+1:(rank+1)*ke/px)
else
call mpi_recv(Uvel_T(0:ie,je*px+1,1:ke/px),i1*ke/px,MPI_REAL8,px-1,rank+300,MPI_COMM_WORLD,status,ierr)
call mpi_recv(Vvel_T(1:ie,je*px+1,1:ke/px),ie*ke/px,MPI_REAL8,px-1,rank+301,MPI_COMM_WORLD,status,ierr)
call mpi_recv(Wvel_T(1:ie,je*px+1,1:ke/px),ie*ke/px,MPI_REAL8,px-1,rank+302,MPI_COMM_WORLD,status,ierr)
endif
bbx_1ie=1.
aax_1ie=1./22.
aax_1ie(1)=0.
aax_1ie(ie)=0.
ccx_1ie=aax_1ie
bbz_1ke=1.
aaz_1ke=1./22.
aaz_1ke(1)=0.
aaz_1ke(ke)=0.
ccz_1ke=aaz_1ke
bby_1jepx=1.
aay_1jepx=1./22.
aay_1jepx(1)=0.
aay_1jepx(je*px)=0.
ccy_1jepx=aay_1jepx
bbx_0ie=1.
aax_0ie=1./22.
aax_0ie(0)=0.
aax_0ie(ie)=0.
ccx_0ie=aax_0ie
bby_0jepx=1.
aay_0jepx=1./22.
aay_0jepx(0)=0.
aay_0jepx(je*px)=0.
ccy_0jepx=aay_0jepx
bbz_0ke=1.
aaz_0ke=1./22.
aaz_0ke(0)=0.
aaz_0ke(ke)=0.
ccz_0ke=aaz_0ke
do j=jb,je
do k=kb,ke
ddx_1ie(1)=(Uvel(1,j,k)-Uvel(0,j,k))/dr(1)
ddx_1ie(ie)=(Uvel(ie,j,k)-Uvel(ie-1,j,k))/dr(ie)
do i=2,ie-1
ddx_1ie(i)=12./11.*(Uvel(i,j,k)-Uvel(i-1,j,k))/dr(i)
enddo
CALL solve_tridiag(Srr(1:ie,j,k),aax_1ie,bbx_1ie,ccx_1ie,ddx_1ie,ie)
enddo
enddo
Srr=Srr*ekm(1:ie,1:je,1:ke)*2.
do i=ib,ie
do j=jb,je
ddz_1ke(1)=(Wvel(i,j,1)-Wvel(i,j,0))/dz
ddz_1ke(ke)=(Wvel(i,j,ke)-Wvel(i,j,ke-1))/dz
do k=2,ke-1
ddz_1ke(k)=12./11.*(Wvel(i,j,k)-Wvel(i,j,k-1))/dz
enddo
CALL solve_tridiag(Szz(i,j,1:ke),aaz_1ke,bbz_1ke,ccz_1ke,ddz_1ke,ke)
enddo
enddo
Szz=Szz*ekm(1:ie,1:je,1:ke)*2.
do i=ib,ie
do k=kb,ke/px
ddy_1jepx(1)=(Vvel_T(i,1,k)-Vvel_T(i,0,k))/(Rp(i)*(phivt(1)-phivt(0)))
ddy_1jepx(je*px)=(Vvel_T(i,je*px,k)-Vvel_T(i,je*px-1,k))/(Rp(i)*(phivt(je*px)-phivt(je*px-1)))
do j=2,je*px-1
ddy_1jepx(j)=12./11.*(Vvel_T(i,j,k)-Vvel_T(i,j-1,k))/(Rp(i)*(phivt(j)-phivt(j-1)))
enddo
CALL solve_tridiag(Spp_T(i,1:je*px,k),aay_1jepx,bby_1jepx,ccy_1jepx,ddy_1jepx,je*px)
enddo
enddo
call t2fp(Spp_T(1:ie,1:je*px,1:ke/px),Spp(1:ie,1:je,1:ke))
do j=jb,je
do k=kb,ke
Spp(1:ie,j,k)=ekm(1:ie,j,k)*2.*(Spp(1:ie,j,k)+(Uvel(1:ie,j,k)+Uvel(0:ie-1,j,k))/(2.*Rp(1:ie)))
enddo
enddo
do i=ib,ie
do k=kb,ke
do j=jb,je
divv= ( Ru(i)*Uvel(i,j,k) - Ru(i-1)*Uvel(i-1,j,k) ) / ( Rp(i)*dr(i) )
+ +
2 ( Vvel(i,j,k) - Vvel(i,j-1,k) ) / ( Rp(i)*(phiv(j)-phiv(j-1)) )
+ +
3 ( Wvel(i,j,k) - Wvel(i,j,k-1) ) / ( dz )
divv=2./3.*ekm(i,j,k)*divv
Srr(i,j,k) = Srr(i,j,k) - divv
Spp(i,j,k) = Spp(i,j,k) - divv
Szz(i,j,k) = Szz(i,j,k) - divv
enddo
enddo
enddo
do j=0,je !include j=0
do k=kb,ke
ddx_0ie(0)=(Vvel(1,j,k)-Vvel(0,j,k))/(Rp(1)-Rp(0))
ddx_0ie(ie)=(Vvel(i1,j,k)-Vvel(ie,j,k))/(Rp(i1)-Rp(ie))
do i=1,ie-1
ddx_0ie(i)=12./11.*(Vvel(i+1,j,k)-Vvel(i,j,k))/(Rp(i+1)-Rp(i))
enddo
CALL solve_tridiag(dvdr,aax_0ie,bbx_0ie,ccx_0ie,ddx_0ie,i1)
Spr(0:ie,j,k)=dvdr
enddo
enddo
do j=0,je !include j=0
do i=ib,ie
ddz_0ke(0)=(Vvel(i,j,1)-Vvel(i,j,0))/dz
ddz_0ke(ke)=(Vvel(i,j,k1)-Vvel(i,j,ke))/dz
do k=1,ke-1
ddz_0ke(k)=12./11.*(Vvel(i,j,k+1)-Vvel(i,j,k))/dz
enddo
CALL solve_tridiag(dvdz,aaz_0ke,bbz_0ke,ccz_0ke,ddz_0ke,k1)
Spz(i,j,0:ke)=dvdz
enddo
enddo
call t2np_i1(Spr(0:ie,1:je,1:ke),Spr_T(0:ie,1:je*px,1:ke/px))
call t2np(Spz(1:ie,1:je,1:ke),Spz_T(1:ie,1:je*px,1:ke/px))
IF (rank.eq.0) THEN !! also pass over boundaries at j=0 :
do i=1,px-1
call mpi_send(Spz(1:ie,0,i*ke/px+1:(i+1)*ke/px),ie*ke/px,MPI_REAL8,i,i+100,MPI_COMM_WORLD,status,ierr)
call mpi_send(Spr(0:ie,0,i*ke/px+1:(i+1)*ke/px),i1*ke/px,MPI_REAL8,i,i+200,MPI_COMM_WORLD,status,ierr)
enddo
Spz_T(1:ie,0,1:ke/px)=Spz(1:ie,0,1:ke/px)
Spr_T(0:ie,0,1:ke/px)=Spr(0:ie,0,1:ke/px)
else
call mpi_recv(Spz_T(1:ie,0,1:ke/px),ie*ke/px,MPI_REAL8,0,rank+100,MPI_COMM_WORLD,status,ierr)
call mpi_recv(Spr_T(0:ie,0,1:ke/px),i1*ke/px,MPI_REAL8,0,rank+200,MPI_COMM_WORLD,status,ierr)
endif
do i=0,ie !include i=0
do k=kb,ke/px
ddy_0jepx(0)=(Uvel_T(i,1,k)-Uvel_T(i,0,k))/(Ru(i)*(phipt(1)-phipt(0)))
ddy_0jepx(je*px)=(Uvel_T(i,je*px+1,k)-Uvel_T(i,je*px,k))/(Ru(i)*(phipt(je*px+1)-phipt(je*px)))
do j=1,je*px-1
ddy_0jepx(j)=12./11.*(Uvel_T(i,j+1,k)-Uvel_T(i,j,k))/(Ru(i)*(phipt(j+1)-phipt(j)))
enddo
CALL solve_tridiag(dudrphi_T,aay_0jepx,bby_0jepx,ccy_0jepx,ddy_0jepx,je*px+1)
Spr_T(i,0:je*px,k)=Spr_T(i,0:je*px,k)+dudrphi_T
enddo
enddo
do i=ib,ie
do k=kb,ke/px !should include k=0,but is zero because Wvel(i,j,0)=0, so left out
ddy_0jepx(0)=(Wvel_T(i,1,k)-Wvel_T(i,0,k))/(Rp(i)*(phipt(1)-phipt(0)))
ddy_0jepx(je*px)=(Wvel_T(i,je*px+1,k)-Wvel_T(i,je*px,k))/(Rp(i)*(phipt(je*px+1)-phipt(je*px)))
do j=1,je*px-1
ddy_0jepx(j)=12./11.*(Wvel_T(i,j+1,k)-Wvel_T(i,j,k))/(Rp(i)*(phipt(j+1)-phipt(j)))
enddo
CALL solve_tridiag(dwdrphi_T,aay_0jepx,bby_0jepx,ccy_0jepx,ddy_0jepx,je*px+1)
Spz_T(i,0:je*px,k)=Spz_T(i,0:je*px,k)+dwdrphi_T
enddo
enddo
call t2fp_0ie(Spr_T(0:ie,1:je*px,1:ke/px),Spr(0:ie,1:je,1:ke))
call t2fp(Spz_T(1:ie,1:je*px,1:ke/px),Spz(1:ie,1:je,1:ke))
IF (rank.eq.0) THEN !! also pass over boundaries at j=0 :
do i=1,px-1
call mpi_recv(Spz(1:ie,0,i*ke/px+1:(i+1)*ke/px),ie*ke/px,MPI_REAL8,i,i+100,MPI_COMM_WORLD,status,ierr)
call mpi_recv(Spr(0:ie,0,i*ke/px+1:(i+1)*ke/px),i1*ke/px,MPI_REAL8,i,i+200,MPI_COMM_WORLD,status,ierr)
enddo
Spz(1:ie,0,1:ke/px)=Spz_T(1:ie,0,1:ke/px)
Spr(0:ie,0,1:ke/px)=Spr_T(0:ie,0,1:ke/px)
else
call mpi_send(Spz_T(1:ie,0,1:ke/px),ie*ke/px,MPI_REAL8,0,rank+100,MPI_COMM_WORLD,status,ierr)
call mpi_send(Spr_T(0:ie,0,1:ke/px),i1*ke/px,MPI_REAL8,0,rank+200,MPI_COMM_WORLD,status,ierr)
endif
do j=0,je
do k=kb,ke
Spr(0:ie,j,k)=(Spr(0:ie,j,k)-(Vvel(0:ie,j,k)+Vvel(1:i1,j,k))/(2.*Ru(0:ie)))*
& 0.25*(ekm(0:ie,j,k)+ekm(1:i1,j,k)+ekm(0:ie,j+1,k)+ekm(1:i1,j+1,k))
enddo
enddo
Spz(1:ie,0:je,0:ke)=Spz(1:ie,0:je,0:ke)*
& 0.25*(ekm(1:ie,0:je,0:ke)+ekm(1:ie,1:j1,0:ke)+ekm(1:ie,0:je,1:k1)+ekm(1:ie,1:j1,1:k1))
do j=1,je
do i=0,ie !include i=0
ddz_0ke(0)=(Uvel(i,j,1)-Uvel(i,j,0))/dz
ddz_0ke(ke)=(Uvel(i,j,k1)-Uvel(i,j,ke))/dz
do k=1,ke-1
ddz_0ke(k)=12./11.*(Uvel(i,j,k+1)-Uvel(i,j,k))/dz
enddo
CALL solve_tridiag(dudz,aaz_0ke,bbz_0ke,ccz_0ke,ddz_0ke,k1)
Szr(i,j,0:ke)=dudz
enddo
enddo
do j=jb,je
do k=0,ke !include k=0
ddx_0ie(0)=(Wvel(1,j,k)-Wvel(0,j,k))/(Rp(1)-Rp(0))
ddx_0ie(ie)=(Wvel(i1,j,k)-Wvel(ie,j,k))/(Rp(i1)-Rp(ie))
do i=1,ie-1
ddx_0ie(i)=12./11.*(Wvel(i+1,j,k)-Wvel(i,j,k))/(Rp(i+1)-Rp(i))
enddo
CALL solve_tridiag(dwdr,aax_0ie,bbx_0ie,ccx_0ie,ddx_0ie,i1)
Szr(0:ie,j,k)=Szr(0:ie,j,k)+dwdr
enddo
enddo
Szr=Szr*0.25*(ekm(0:ie,1:je,0:ke)+ekm(1:i1,1:je,0:ke)+ekm(0:ie,1:je,1:k1)+ekm(1:i1,1:je,1:k1))
end
subroutine diffu_com4(putout,Sigrr,Sigpr,Sigzr,Sigpp,Ru,Rp,dr,phipt,dz,i1,j1,k1,ib,ie,jb,je,kb,ke,rank,px)
implicit none
include 'mpif.h'
c
c*****************************************************************
c
c diffu calculates the diffusion of u-velocity, which is
c the velocity in the radial direction.
c
c
c In formula: (4 terms)
c
c 1 d 1 d d
c - -- (r Sigma(r r)) + - ---- (Sigma(phi r)) + -- (Sigma(z r)) -
c r dr r dphi dz
c
c
c 1
c - Sigma(phi phi)
c r
c
c r : direction ---> explicit (subroutine diffu)
c phi : direction ---> implicit (subroutine predic)
c z : direction ---> explicit (subroutine diffu)
c
c on input :
c
c putout : advection part
c Uvel,Vvel,Wvel : contain velocities at n-1
c ekm : diffusion coefficients (for velocity) in
c center points of the grid cells
c dr,dphi,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 diffusion part 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 and diffusion part
c other parameters : all unchanged
c
c*****************************************************************
integer i1,j1,k1,ib,ie,jb,je,kb,ke,rank,px
real putout(0:i1,0:j1,0:k1),Sigrr(ib:ie,jb:je,kb:ke),
+ Sigpr(0:ie,0:je,kb:ke),Sigzr(0:ie,1:je,0:ke),
+ Sigpp(ib:ie,jb:je,kb:ke),
+ dr(0:i1),phipt(0:je*px+1),dz,Ru(0:i1),Rp(0:i1)
integer i,j,k
integer ileng,ierr,itag,status(MPI_STATUS_SIZE)
real dSdr(0:ie),dSdphi(1:je*px),dSdz(1:ke),putout_T(1:ie,1:je*px,1:ke/px)
real Sigpr_T(1:ie,0:je*px,1:ke/px)
real aax_0ie(0:ie),bbx_0ie(0:ie),ccx_0ie(0:ie),ddx_0ie(0:ie)
real aay_1jepx(1:je*px),bby_1jepx(1:je*px),ccy_1jepx(1:je*px),ddy_1jepx(1:je*px)
real aaz_1ke(1:ke),bbz_1ke(1:ke),ccz_1ke(1:ke),ddz_1ke(1:ke)
bbx_0ie=1.
aax_0ie=1./22.
aax_0ie(0)=0.
aax_0ie(ie)=23.
ccx_0ie=1./22.
ccx_0ie(0)=23.
ccx_0ie(ie)=0.
bby_1jepx=1.
aay_1jepx=1./22.
aay_1jepx(1)=0.
aay_1jepx(je*px)=0. !-1.
ccy_1jepx=1./22.
ccy_1jepx(1)=0. !-1.
ccy_1jepx(je*px)=0.
bbz_1ke=1.
aaz_1ke=1./22.
aaz_1ke(1)=0.
aaz_1ke(ke)=0. !-1.
ccz_1ke=1./22.
ccz_1ke(1)=0. !-1.
ccz_1ke(ke)=0.
do j=jb,je
do k=kb,ke
Sigrr(1:ie,j,k)=Sigrr(1:ie,j,k)*Rp(1:ie)
ddx_0ie(0)=(-25.*Sigrr(1,j,k)+26.*Sigrr(2,j,k)-Sigrr(3,j,k))/(Ru(0)*(Rp(1)-Rp(0)))
ddx_0ie(ie)=(25.*Sigrr(ie,j,k)-26.*Sigrr(ie-1,j,k)+Sigrr(ie-2,j,k))/(Ru(ie)*(Rp(ie+1)-Rp(ie)))
do i=1,ie-1
ddx_0ie(i)=12./11.*(Sigrr(i+1,j,k)-Sigrr(i,j,k))/(Ru(i)*(Rp(i+1)-Rp(i)))
enddo
CALL solve_tridiag(dSdr(0:ie),aax_0ie,bbx_0ie,ccx_0ie,ddx_0ie,ie+1)
putout(1:ie,j,k)=putout(1:ie,j,k)+dSdr(1:ie)-Sigpp(1:ie,j,k)/Rp(1:ie)
enddo
enddo
!! swap Spr -> Spr_T
call t2np(Sigpr(1:ie,1:je,1:ke),Sigpr_T(1:ie,1:je*px,1:ke/px))
call t2np(putout(1:ie,1:je,1:ke),putout_T(1:ie,1:je*px,1:ke/px))
!! also pass over boundaries at j=0 :
IF (rank.eq.0) THEN
do i=1,px-1
call mpi_send(Sigpr(1:ie,0,i*ke/px+1:(i+1)*ke/px),ie*ke/px,MPI_REAL8,i,i+100,MPI_COMM_WORLD,status,ierr)
enddo
Sigpr_T(1:ie,0,1:ke/px)=Sigpr(1:ie,0,1:ke/px)
else
call mpi_recv(Sigpr_T(1:ie,0,1:ke/px),ie*ke/px,MPI_REAL8,0,rank+100,MPI_COMM_WORLD,status,ierr)
endif
do i=ib,ie
do k=kb,ke/px
! ddy_1jepx(1)=(-Sigpr_T(i,0,k)+2.*Sigpr_T(i,1,k)-Sigpr_T(i,2,k))/(Ru(i)*dphi)
! ddy_1jepx(je*px)=(Sigpr_T(i,je*px,k)-2.*Sigpr_T(i,je*px-1,k)+Sigpr_T(i,je*px-2,k))/(Ru(i)*dphi)
ddy_1jepx(1)=(Sigpr_T(i,1,k)-Sigpr_T(i,0,k))/(Ru(i)*(phipt(1)-phipt(0)))
ddy_1jepx(je*px)=(Sigpr_T(i,je*px,k)-Sigpr_T(i,je*px-1,k))/(Ru(i)*(phipt(je*px+1)-phipt(je*px)))
do j=2,je*px-1
ddy_1jepx(j)=12./11.*(Sigpr_T(i,j,k)-Sigpr_T(i,j-1,k))/(Ru(i)*(phipt(j)-phipt(j-1)))
enddo
CALL solve_tridiag(dSdphi(1:je*px),aay_1jepx,bby_1jepx,ccy_1jepx,ddy_1jepx,je*px)
putout_T(i,1:je*px,k)=putout_T(i,1:je*px,k)+dSdphi(1:je*px)
enddo
enddo
call t2fp(putout_T(1:ie,1:je*px,1:ke/px),putout(1:ie,1:je,1:ke))
do i=ib,ie
do j=jb,je
! ddz_1ke(1)=(-Sigzr(i,j,0)+2.*Sigzr(i,j,1)-Sigzr(i,j,2))/dz
! ddz_1ke(ke)=(Sigzr(i,j,ke)-2.*Sigzr(i,j,ke-1)+Sigzr(i,j,ke-2))/dz
ddz_1ke(1)=(Sigzr(i,j,1)-Sigzr(i,j,0))/dz
ddz_1ke(ke)=(Sigzr(i,j,ke)-Sigzr(i,j,ke-1))/dz
do k=2,ke-1
ddz_1ke(k)=12./11.*(Sigzr(i,j,k)-Sigzr(i,j,k-1))/dz
enddo
CALL solve_tridiag(dSdz(1:ke),aaz_1ke,bbz_1ke,ccz_1ke,ddz_1ke,ke)
putout(i,j,1:ke)=putout(i,j,1:ke)+dSdz(1:ke)
enddo
enddo
return
end
subroutine diffv_com4(putout,Sigpr,Sigpp,Sigpz,Ru,Rp,dr,phipt,dz,i1,j1,k1,ib,ie,jb,je,kb,ke,rank,px)
implicit none
include 'mpif.h'
c
c*****************************************************************
c
c diffv calculates the diffusion of v-velocity, which is
c the velocity in the tangential direction.
c
c
c In formula: (4 terms)
c
c 1 d 1 d d
c - -- (r Sigma(r phi)) + - ---- (Sigma(phi phi)) + -- (Sigma(z phi)) +
c r dr r dphi dz
c
c
c 1
c - Sigma(r phi)
c r
c
c r : direction ---> explicit (subroutine diffv)
c phi : direction ---> implicit (subroutine predic)
c z : direction ---> explicit (subroutine diffv)
c
c on input :
c
c putout : advection part
c Uvel,Vvel,Wvel : contain velocities at n-1
c ekm : diffusion coefficients (for velocity) in
c center points of the grid cells
c dr,dphi,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 diffusion part 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 and diffusion part
c other parameters : all unchanged
c
c*****************************************************************
integer i1,j1,k1,ib,ie,jb,je,kb,ke,rank,px
real putout(0:i1,0:j1,0:k1),Sigpp(ib:ie,jb:je,kb:ke),
+ Sigpr(0:ie,0:je,kb:ke),Sigpz(1:ie,0:je,0:ke),
+ dr(0:i1),phipt(0:je*px+1),dz,Ru(0:i1),Rp(0:i1)
integer i,j,k
integer ileng,ierr,itag,status(MPI_STATUS_SIZE)
real rSpr(0:ie),dSdr(1:ie),dSdphi(0:je*px),dSdz(1:ke)
real Sigpp_T(1:ie,1:je*px,1:ke/px),putout_T(1:ie,1:je*px,1:ke/px)
real aax_1ie(1:ie),bbx_1ie(1:ie),ccx_1ie(1:ie),ddx_1ie(1:ie)
real aay_0jepx(0:je*px),bby_0jepx(0:je*px),ccy_0jepx(0:je*px),ddy_0jepx(0:je*px)
real aaz_1ke(1:ke),bbz_1ke(1:ke),ccz_1ke(1:ke),ddz_1ke(1:ke)
bbx_1ie=1.
aax_1ie=1./22.
aax_1ie(1)=0.
aax_1ie(ie)=0. !-1.
ccx_1ie=1./22.
ccx_1ie(1)=0. !-1.
ccx_1ie(ie)=0.
bby_0jepx=1.
aay_0jepx=1./22.
aay_0jepx(0)=0.
aay_0jepx(je*px)=23.
ccy_0jepx=1./22.
ccy_0jepx(0)=23.
ccy_0jepx(je*px)=0.
bbz_1ke=1.
aaz_1ke=1./22.
aaz_1ke(1)=0.
aaz_1ke(ke)=0. !-1.
ccz_1ke=1./22.
ccz_1ke(1)=0. !-1.
ccz_1ke(ke)=0.
do j=jb,je
do k=kb,ke
rSpr(0:ie)=Sigpr(0:ie,j,k)*Ru(0:ie)
! ddx_1ie(1)=(-rSpr(0)+2.*rSpr(1)-rSpr(2))/(Rp(1)*dr(1))
! ddx_1ie(ie)=(rSpr(ie)-2.*rSpr(ie-1)+rSpr(ie-2))/(Rp(ie)*dr(ie))
ddx_1ie(1)=(rSpr(1)-rSpr(0))/(Rp(1)*dr(1))
ddx_1ie(ie)=(rSpr(ie)-rSpr(ie-1))/(Rp(ie)*dr(ie))
do i=2,ie-1
ddx_1ie(i)=12./11.*(rSpr(i)-rSpr(i-1))/(Rp(i)*dr(i))
enddo
CALL solve_tridiag(dSdr(1:ie),aax_1ie,bbx_1ie,ccx_1ie,ddx_1ie,ie)
putout(1:ie,j,k)=putout(1:ie,j,k)+dSdr(1:ie)+(Sigpr(1:ie,j,k)+Sigpr(0:ie-1,j,k))/(2.*Rp(1:ie))
enddo
enddo
!! swap Spp -> Spp_T
call t2np(Sigpp(1:ie,1:je,1:ke),Sigpp_T(1:ie,1:je*px,1:ke/px))
call t2np(putout(1:ie,1:je,1:ke),putout_T(1:ie,1:je*px,1:ke/px))
do i=ib,ie
do k=kb,ke/px
ddy_0jepx(0)=(-25.*Sigpp_T(i,1,k)+26.*Sigpp_T(i,2,k)-Sigpp_T(i,3,k))/(Rp(i)*(phipt(1)-phipt(0)))
ddy_0jepx(je*px)=(25.*Sigpp_T(i,je*px,k)-26.*Sigpp_T(i,je*px-1,k)+Sigpp_T(i,je*px-2,k))/(Rp(i)*(phipt(je*px+1)-phipt(je*px)))
do j=1,je*px-1
ddy_0jepx(j)=12./11.*(Sigpp_T(i,j+1,k)-Sigpp_T(i,j,k))/(Rp(i)*(phipt(j+1)-phipt(j)))
enddo
CALL solve_tridiag(dSdphi(0:je*px),aay_0jepx,bby_0jepx,ccy_0jepx,ddy_0jepx,je*px+1)
putout_T(i,1:je*px,k)=putout_T(i,1:je*px,k)+dSdphi(1:je*px)
enddo
enddo
call t2fp(putout_T(1:ie,1:je*px,1:ke/px),putout(1:ie,1:je,1:ke))
do i=ib,ie
do j=jb,je
! ddz_1ke(1)=(-Sigpz(i,j,0)+2.*Sigpz(i,j,1)-Sigpz(i,j,2))/dz
! ddz_1ke(ke)=(Sigpz(i,j,ke)-2.*Sigpz(i,j,ke-1)+Sigpz(i,j,ke-2))/dz
ddz_1ke(1)=(Sigpz(i,j,1)-Sigpz(i,j,0))/dz
ddz_1ke(ke)=(Sigpz(i,j,ke)-Sigpz(i,j,ke-1))/dz
do k=2,ke-1
ddz_1ke(k)=12./11.*(Sigpz(i,j,k)-Sigpz(i,j,k-1))/dz
enddo
CALL solve_tridiag(dSdz(1:ke),aaz_1ke,bbz_1ke,ccz_1ke,ddz_1ke,ke)
putout(i,j,1:ke)=putout(i,j,1:ke)+dSdz(1:ke)
enddo
enddo
return
end
subroutine diffw_com4(putout,Sigzr,Sigpz,Sigzz,Ru,Rp,dr,phipt,dz,i1,j1,k1,ib,ie,jb,je,kb,ke,rank,px)
implicit none
include 'mpif.h'
integer i1,j1,k1,ib,ie,jb,je,kb,ke,rank,px
real putout(0:i1,0:j1,0:k1),Sigzz(ib:ie,jb:je,kb:ke),
+ Sigzr(0:ie,1:je,0:ke),Sigpz(1:ie,0:je,0:ke),
+ dr(0:i1),phipt(0:je*px+1),dz,Ru(0:i1),Rp(0:i1)
integer i,j,k
integer ileng,ierr,itag,status(MPI_STATUS_SIZE)
real dSdr(1:ie),dSdphi(1:je*px),dSdz(0:ke),putout_T(1:ie,1:je*px,1:ke/px)
real Sigpz_T(1:ie,0:je*px,1:ke/px),rSzr(0:ie)
real aax_1ie(1:ie),bbx_1ie(1:ie),ccx_1ie(1:ie),ddx_1ie(1:ie)
real aay_1jepx(1:je*px),bby_1jepx(1:je*px),ccy_1jepx(1:je*px),ddy_1jepx(1:je*px)
real aaz_0ke(0:ke),bbz_0ke(0:ke),ccz_0ke(0:ke),ddz_0ke(0:ke)
bbx_1ie=1.
aax_1ie=1./22.
aax_1ie(1)=0.
aax_1ie(ie)=0. !-1.
ccx_1ie=1./22.
ccx_1ie(1)=0. !-1.
ccx_1ie(ie)=0.
bby_1jepx=1.
aay_1jepx=1./22.
aay_1jepx(1)=0.
aay_1jepx(je*px)=0. !-1.
ccy_1jepx=1./22.
ccy_1jepx(1)=0. !-1.
ccy_1jepx(je*px)=0.
bbz_0ke=1.
aaz_0ke=1./22.
aaz_0ke(0)=0.
aaz_0ke(ke)=23.
ccz_0ke=1./22.
ccz_0ke(0)=23.
ccz_0ke(ke)=0.
do j=jb,je
do k=kb,ke
rSzr(0:ie)=Sigzr(0:ie,j,k)*Ru(0:ie)
! ddx_1ie(1)=(-rSzr(0)+2.*rSzr(1)-rSzr(2))/(Rp(1)*dr(1))
! ddx_1ie(ie)=(rSzr(ie)-2.*rSzr(ie-1)+rSzr(ie-2))/(Rp(ie)*dr(ie))
ddx_1ie(1)=(rSzr(1)-rSzr(0))/(Rp(1)*dr(1))
ddx_1ie(ie)=(rSzr(ie)-rSzr(ie-1))/(Rp(ie)*dr(ie))
do i=2,ie-1
ddx_1ie(i)=12./11.*(rSzr(i)-rSzr(i-1))/(Rp(i)*dr(i))
enddo
CALL solve_tridiag(dSdr(1:ie),aax_1ie,bbx_1ie,ccx_1ie,ddx_1ie,ie)
putout(1:ie,j,k)=putout(1:ie,j,k)+dSdr(1:ie)
enddo
enddo
!! swap Spz -> Spz_T
call t2np(Sigpz(1:ie,1:je,1:ke),Sigpz_T(1:ie,1:je*px,1:ke/px))
call t2np(putout(1:ie,1:je,1:ke),putout_T(1:ie,1:je*px,1:ke/px))
!! also pass over boundaries at j=0 :
IF (rank.eq.0) THEN
do i=1,px-1
call mpi_send(Sigpz(1:ie,0,i*ke/px+1:(i+1)*ke/px),ie*ke/px,MPI_REAL8,i,i+100,MPI_COMM_WORLD,status,ierr)
enddo
Sigpz_T(1:ie,0,1:ke/px)=Sigpz(1:ie,0,1:ke/px)
else
call mpi_recv(Sigpz_T(1:ie,0,1:ke/px),ie*ke/px,MPI_REAL8,0,rank+100,MPI_COMM_WORLD,status,ierr)
endif
do i=ib,ie
do k=kb,ke/px
! ddy_1jepx(1)=(-Sigpz_T(i,0,k)+2.*Sigpz_T(i,1,k)-Sigpz_T(i,2,k))/(Rp(i)*dphi)
! ddy_1jepx(je*px)=(Sigpz_T(i,je*px,k)-2.*Sigpz_T(i,je*px-1,k)+Sigpz_T(i,je*px-2,k))/(Rp(i)*dphi)
ddy_1jepx(1)=(Sigpz_T(i,1,k)-Sigpz_T(i,0,k))/(Rp(i)*(phipt(1)-phipt(0)))
ddy_1jepx(je*px)=(Sigpz_T(i,je*px,k)-Sigpz_T(i,je*px-1,k))/(Rp(i)*(phipt(je*px)-phipt(je*px-1)))
do j=2,je*px-1
ddy_1jepx(j)=12./11.*(Sigpz_T(i,j,k)-Sigpz_T(i,j-1,k))/(Rp(i)*(phipt(j)-phipt(j-1)))
enddo
CALL solve_tridiag(dSdphi(1:je*px),aay_1jepx,bby_1jepx,ccy_1jepx,ddy_1jepx,je*px)
putout_T(i,1:je*px,k)=putout_T(i,1:je*px,k)+dSdphi(1:je*px)
enddo
enddo
call t2fp(putout_T(1:ie,1:je*px,1:ke/px),putout(1:ie,1:je,1:ke))
do i=ib,ie
do j=jb,je
ddz_0ke(0)=(-25.*Sigzz(i,j,1)+26.*Sigzz(i,j,2)-Sigzz(i,j,3))/dz
ddz_0ke(ke)=(25.*Sigzz(i,j,ke)-26.*Sigzz(i,j,ke-1)+Sigzz(i,j,ke-2))/dz
do k=1,ke-1
ddz_0ke(k)=12./11.*(Sigzz(i,j,k+1)-Sigzz(i,j,k))/dz
enddo
CALL solve_tridiag(dSdz(0:ke),aaz_0ke,bbz_0ke,ccz_0ke,ddz_0ke,ke+1)
putout(i,j,1:ke)=putout(i,j,1:ke)+dSdz(1:ke)
enddo
enddo
return
end
subroutine diffu_CDS2(putout,Uvel,Vvel,Wvel,ib,ie,jb,je,kb,ke)
USE nlist
implicit none
! include 'param.txt'
! include 'common.txt'
c
c*****************************************************************
c
c diffu calculates the diffusion of u-velocity, which is
c the velocity in the radial direction.
c
c
c In formula: (4 terms)
c
c 1 d 1 d d
c - -- (r Sigma(r r)) + - ---- (Sigma(phi r)) + -- (Sigma(z r)) -
c r dr r dphi dz
c
c
c 1
c - Sigma(phi phi)
c r
c
c r : direction ---> explicit (subroutine diffu)
c phi : direction ---> implicit (subroutine predic)
c z : direction ---> explicit (subroutine diffu)
c
c on input :
c
c putout : advection part
c Uvel,Vvel,Wvel : contain velocities at n-1
c ekm : diffusion coefficients (for velocity) in
c center points of the grid cells
c dr,dphi,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 diffusion part 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 and diffusion part
c other parameters : all unchanged
c
c*****************************************************************
integer im,ip,jm,jp,km,kp,ib,ie,jb,je,kb,ke,km2
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),
+ eppo,epmo,epop,epom,drp,dzi,divergentie
real xx,yy,f,fluc,Wjet
real divvR,divvL,CNz,CNx,CNy
integer n,t
real fcg2(0:i1,0:px*jmax+1,0:k1)
logical me2
if (momentum_exchange_obstacles.eq.100.or.momentum_exchange_obstacles.eq.110) then
fcg2=fc_global
else
fcg2=1. !all momentum interactions are active
endif
if (momentum_exchange_obstacles.eq.111) then
me2=.true. ! !111 means dUVdn = 0 for cells directly above bed
else
me2=.false.
endif
IF (CNdiffz.eq.1) THEN !CN diff in z-dir is half old, half new timestep (this is half old timestep)
CNz=0.5
ELSEIF (CNdiffz.eq.2.or.CNdiffz.eq.12) THEN !CN diff in z-dir is 100% new timestep (Euler backward)
CNz=0.
ELSE
CNz=1.
ENDIF
IF (CNdiffz.eq.11) THEN !CN diff in z-dir is half old, half new timestep (this is half old timestep)
CNx=0.5 !0.5*2. !0.45 !0.5
CNy=0.5 !0.5*2. !0.45 !0.5
CNz=0.5 !0.5*2.
ELSEIF (CNdiffz.eq.12) THEN !CN diff in z-dir is 100% new timestep (Euler backward)
CNx=0.
CNy=0.
ELSE
CNx=1.
CNy=1.
ENDIF
dzi =1./dz
do i=ib,ie
ip=i+1
im=i-1
drp = Rp(ip)-Rp(i)
do j=jb,je
jp=j+1
jm=j-1
do k=kb,ke !k=MAX(kb,kbed(i,k)),ke !kb,ke
kp=k+1
km=k-1
km2=km
if (kbed(i,j).eq.km2.and.me2) km2=k ! --> dUVdn = 0 (like ordinary boundary)
eppo = 0.25 * (
+ ekm(i,j,k) + ekm(ip,j,k) + ekm(ip,jp,k) + ekm(i,jp,k) )
+ * MIN(fcg2(i,j+rank*jmax,k),fcg2(ip,j+rank*jmax,k),fcg2(ip,jp+rank*jmax,k),fcg2(i,jp+rank*jmax,k))
epmo = 0.25 * (
+ ekm(i,j,k) + ekm(ip,j,k) + ekm(ip,jm,k) + ekm(i,jm,k) )
+ * MIN(fcg2(i,j+rank*jmax,k),fcg2(ip,j+rank*jmax,k),fcg2(ip,jm+rank*jmax,k),fcg2(i,jm+rank*jmax,k))
epop = 0.25 * (
+ ekm(i,j,k) + ekm(ip,j,k) + ekm(ip,j,kp) + ekm(i,j,kp) )
+ * MIN(fcg2(i,j+rank*jmax,k),fcg2(ip,j+rank*jmax,k),fcg2(ip,j+rank*jmax,kp),fcg2(i,j+rank*jmax,kp))
epom = 0.25 * (
+ ekm(i,j,k) + ekm(ip,j,k) + ekm(ip,j,km) + ekm(i,j,km) )
+ * MIN(fcg2(i,j+rank*jmax,k),fcg2(ip,j+rank*jmax,k),fcg2(ip,j+rank*jmax,km),fcg2(i,j+rank*jmax,km))
divvL= ( Ru(i)*Uvel(i,j,k) - Ru(i-1)*Uvel(i-1,j,k) ) / ( Rp(i)*dr(i) )
+ +
2 ( Vvel(i,j,k) - Vvel(i,j-1,k) ) / ( Rp(i)*(phiv(j)-phiv(j-1)) )
+ +
3 ( Wvel(i,j,k) - Wvel(i,j,k-1) ) * dzi
divvR= ( Ru(ip)*Uvel(ip,j,k) - Ru(ip-1)*Uvel(ip-1,j,k) ) / ( Rp(ip)*dr(ip) )
+ +
2 ( Vvel(ip,j,k) - Vvel(ip,j-1,k) ) / ( Rp(ip)*(phiv(j)-phiv(j-1)) )
+ +
3 ( Wvel(ip,j,k) - Wvel(ip,j,k-1) ) * dzi
putout(i,j,k) = putout(i,j,k) +
1 ( Rp(ip) * ekm(ip,j,k) * fcg2(ip,j+rank*jmax,k)*CNx *
! 1 ( Rp(ip) * ekm(ip,j,k)*CNx *
1 ((Uvel(ip,j,k) - Uvel(i,j,k) ) / ( dr(ip) ) - 1./3.*divvR) -
1 Rp(i ) * ekm(i,j,k) * fcg2(i,j+rank*jmax,k)*CNx *
! 1 Rp(i ) * ekm(i,j,k)*CNx *
1 ((Uvel(i,j,k) - Uvel(im,j,k)) / ( dr(i) ) - 1./3.*divvL) ) /
1 ( 0.5 * Ru(i) * ( drp ) )
+ +
2 ( CNy*eppo * ( Ru(i) * ( Vvel(ip,j,k)/Rp(ip) - Vvel(i,j,k)/Rp(i) ) /
2 ( Rp(ip) - Rp(i) )
2 + (Uvel(i,jp,k) - Uvel(i,j,k) ) / ( Ru(i) * (phip(jp)-phip(j)) )
2 ) -
2 CNy*epmo * ( Ru(i) * ( Vvel(ip,jm,k)/Rp(ip) - Vvel(i,jm,k)/Rp(i))/
2 (drp )
2 + (Uvel(i,j,k) - Uvel(i,jm,k)) / ( Ru(i) * (phip(j)-phip(jm)) )
2 ) ) / ( Ru(i) * (phiv(j)-phiv(jm)) )
+ +
3 ( epop *CNz* ( (Uvel(i,j,kp) - Uvel(i,j,k) ) * dzi
3 + (Wvel(ip,j,k) - Wvel(i,j,k) ) / (Rp(ip) - Rp(i))
3 ) -
3 epom *CNz* ( (Uvel(i,j,k) - Uvel(i,j,km2)) * dzi
3 + (Wvel(ip,j,km) - Wvel(i,j,km)) / (Rp(ip) - Rp(i))
3 ) ) * dzi
+ -
4 CNy*(ekm(i,j,k) + ekm(ip,j,k)) * MIN(fcg2(i,j+rank*jmax,k),fcg2(ip,j+rank*jmax,k)) * ( Uvel(i,j,k) +
! 4 CNy*(ekm(i,j,k) + ekm(ip,j,k)) * ( Uvel(i,j,k) +
4 (Vvel(ip,j,k) + Vvel(i,j,k) - Vvel(ip,jm,k) - Vvel(i,jm,k)) /
4 (2.0 * (phiv(j)-phiv(jm))) )/ ( Ru(i) * Ru(i) )
enddo
enddo
enddo
c
return
end
subroutine diffv_CDS2(putout,Uvel,Vvel,Wvel,ib,ie,jb,je,kb,ke)
USE nlist
implicit none
! include 'param.txt'
! include 'common.txt'
c
c*****************************************************************
c
c diffv calculates the diffusion of v-velocity, which is
c the velocity in the tangential direction.
c
c
c In formula: (4 terms)
c
c 1 d 1 d d
c - -- (r Sigma(r phi)) + - ---- (Sigma(phi phi)) + -- (Sigma(z phi)) +
c r dr r dphi dz
c
c
c 1
c - Sigma(r phi)
c r
c
c r : direction ---> explicit (subroutine diffv)
c phi : direction ---> implicit (subroutine predic)
c z : direction ---> explicit (subroutine diffv)
c
c on input :
c
c putout : advection part
c Uvel,Vvel,Wvel : contain velocities at n-1
c ekm : diffusion coefficients (for velocity) in
c center points of the grid cells
c dr,dphi,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 diffusion part 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 and diffusion part
c other parameters : all unchanged
c
c Note :
c
c The 'source' term [ Sigma (r phi) ] / r has been
c incorporated into the radial derivative to avoid
c interpolation problems at the centerline.
c
c*****************************************************************
integer im,ip,jm,jp,km,kp,ib,ie,jb,je,kb,ke,km2
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),
+ eppo,empo,eopp,eopm,dzi
real xx,yy,f,fluc,Wjet
integer n,t
real divvL,divvR,CNz,CNx,CNy
real fcg2(0:i1,0:px*jmax+1,0:k1)
logical me2
if (momentum_exchange_obstacles.eq.100.or.momentum_exchange_obstacles.eq.110) then
fcg2=fc_global
else
fcg2=1. !all momentum interactions are active
endif
if (momentum_exchange_obstacles.eq.111) then
me2=.true. ! !111 means dUVdn = 0 for cells directly above bed
else
me2=.false.
endif
IF (CNdiffz.eq.1) THEN !CN diff in z-dir is half old, half new timestep (this is half old timestep)
CNz=0.5
ELSEIF (CNdiffz.eq.2.or.CNdiffz.eq.12) THEN !CN diff in z-dir is 100% new timestep (Euler backward)
CNz=0.
ELSE
CNz=1.
ENDIF
IF (CNdiffz.eq.11) THEN !CN diff in z-dir is half old, half new timestep (this is half old timestep)
CNx=0.5 !0.5*2. !0.45 !0.5
CNy=0.5 !0.5*2. !0.45 !0.5
CNz=0.5 !0.5*2.
ELSEIF (CNdiffz.eq.12) THEN !CN diff in z-dir is 100% new timestep (Euler backward)
CNx=0.
CNy=0.
ELSE
CNx=1.
CNy=1.
ENDIF
dzi=1./dz
do i=ib,ie
ip=i+1
im=i-1
do j=jb,je
jp=j+1
jm=j-1
do k=kb,ke !MAX(kb,kbed(i,k)),ke !do k=kb,ke
kp=k+1
km=k-1
km2=km
if (kbed(i,j).eq.km2.and.me2) km2=k ! --> dUVdn = 0 (like ordinary boundary)
eppo = 0.25 * (
+ ekm(i,j,k) + ekm(ip,j,k) + ekm(ip,jp,k) + ekm(i,jp,k) )
+ * MIN(fcg2(i,j+rank*jmax,k),fcg2(ip,j+rank*jmax,k),fcg2(ip,jp+rank*jmax,k),fcg2(i,jp+rank*jmax,k))
empo = 0.25 * (
+ ekm(i,j,k) + ekm(im,j,k) + ekm(i,jp,k) + ekm(im,jp,k) )
+ * MIN(fcg2(i,j+rank*jmax,k),fcg2(im,j+rank*jmax,k),fcg2(i,jp+rank*jmax,k),fcg2(im,jp+rank*jmax,k))
eopp = 0.25 * (
+ ekm(i,j,k) + ekm(i,j,kp) + ekm(i,jp,k) + ekm(i,jp,kp) )
+ * MIN(fcg2(i,j+rank*jmax,k),fcg2(i,j+rank*jmax,kp),fcg2(i,jp+rank*jmax,k),fcg2(i,jp+rank*jmax,kp))
eopm = 0.25 * (
+ ekm(i,j,k) + ekm(i,j,km) + ekm(i,jp,k) + ekm(i,jp,km) )
+ * MIN(fcg2(i,j+rank*jmax,k),fcg2(i,j+rank*jmax,km),fcg2(i,jp+rank*jmax,k),fcg2(i,jp+rank*jmax,km))
divvL= ( Ru(i)*Uvel(i,j,k) - Ru(i-1)*Uvel(i-1,j,k) ) / ( Rp(i)*dr(i) )
+ +
2 ( Vvel(i,j,k) - Vvel(i,j-1,k) ) / ( Rp(i)*(phiv(j)-phiv(j-1)) )
+ +
3 ( Wvel(i,j,k) - Wvel(i,j,k-1) ) * dzi
divvR= ( Ru(i)*Uvel(i,jp,k) - Ru(i-1)*Uvel(i-1,jp,k) ) / ( Rp(i)*dr(i) )
+ +
2 ( Vvel(i,jp,k) - Vvel(i,jp-1,k) ) / ( Rp(i)*(phiv(jp)-phiv(jp-1)) )
+ +
3 ( Wvel(i,jp,k) - Wvel(i,jp,k-1) ) * dzi
putout(i,j,k) = putout(i,j,k) +
1 ( eppo*CNx*( Ru(i )*Ru(i )*(Vvel(ip,j,k)/Rp(ip) - Vvel(i,j,k)/Rp(i))/
1 ( Rp(ip) - Rp(i) )
1 + (Uvel(i,jp,k) - Uvel(i,j,k) ) / ((phip(jp)-phip(j)))
1 ) * Ru(i) -
1 empo*CNx*( Ru(im)*Ru(im)*(Vvel(i,j,k)/Rp(i) - Vvel(im,j,k)/Rp(im))/
1 ( Rp(i) - Rp(im) )
1 + (Uvel(im,jp,k) - Uvel(im,j,k)) / ((phip(jp)-phip(j)))
1 ) * Ru(im) ) / ( Rp(i) * Rp(i) * dr(i) )
! 1 ( eppo*( Ru(i )*(Vvel(ip,j,k)/Rp(ip) - Vvel(i,j,k)/Rp(i))/
! 1 ( Rp(ip) - Rp(i) )
! 1 + (Uvel(i,jp,k) - Uvel(i,j,k) ) / (Ru(i)*dphi)
! 1 ) * Ru(i) -
! 1 empo*( Ru(im)*(Vvel(i,j,k)/Rp(i) - Vvel(im,j,k)/Rp(im))/
! 1 ( Rp(i) - Rp(im) )
! 1 + (Uvel(im,jp,k) - Uvel(im,j,k)) / (Ru(im)*dphi)
! 1 ) * Ru(im) ) / ( Rp(i) * dr(i) )
+ +
2 ( CNy*ekm(i,jp,k)*fcg2(i,jp+jmax*rank,k) * ( (Uvel(i,jp,k) + Uvel(im,jp,k)) / 2.0
! 2 ( CNy*ekm(i,jp,k) * ( (Uvel(i,jp,k) + Uvel(im,jp,k)) / 2.0
2 + (Vvel(i,jp,k) - Vvel(i,j,k) ) / (phiv(jp)-phiv(j))
2 - 1./3.*divvR*Rp(i)
2 ) -
2 CNy*ekm(i,j,k)*fcg2(i,j+jmax*rank,k) * ( (Uvel(i,j,k) + Uvel(im,j,k) ) / 2.0
! 2 CNy*ekm(i,j,k) * ( (Uvel(i,j,k) + Uvel(im,j,k) ) / 2.0
2 + (Vvel(i,j,k) - Vvel(i,jm,k) ) / (phiv(j)-phiv(jm))
2 - 1./3.*divvL*Rp(i)
2 ) ) / ( 0.5 * Rp(i) * Rp(i) * (phip(jp)-phip(j)))
+ +
3 ( eopp * CNz*( (Vvel(i,j,kp) - Vvel(i,j,k) ) * dzi
3 +(Wvel(i,jp,k) - Wvel(i,j,k) ) / (Rp(i)*(phip(jp)-phip(j)))
3 ) -
3 eopm * CNz*( (Vvel(i,j,k) - Vvel(i,j,km2)) * dzi
3 +(Wvel(i,jp,km) - Wvel(i,j,km)) / (Rp(i)*(phip(jp)-phip(j)))
3 ) ) * dzi
enddo
enddo
enddo
return
end