?? solvex.for
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! copyright:wangaifeng
! DATE :2007-07-25
! Company :GUCAS
subroutine Solvex(u,ft,nx,ny,ighost,gama)
implicit real(a-h,o-z)
real u(-ighost:nx+ighost,-ighost:ny+ighost,0:3)
real fl(-ighost:nx+ighost,-ighost:ny+ighost,0:3)
real fr(-ighost:nx+ighost,-ighost:ny+ighost,0:3)
real dfl(-ighost:nx+ighost,-ighost:ny+ighost,0:3)
real dfr(-ighost:nx+ighost,-ighost:ny+ighost,0:3)
real ffl(-ighost:nx+ighost,-ighost:ny+ighost,0:3)
real ffr(-ighost:nx+ighost,-ighost:ny+ighost,0:3)
real ft(-ighost:nx+ighost,-ighost:ny+ighost,0:3)
real minmod
eps=1e-6
do j=-ighost,ny+ighost
do i=-ighost,nx+ighost
p=(gama-1.0)*(u(i,j,3)-0.5*u(i,j,1)**2/u(i,j,0)
& -0.5*u(i,j,2)**2/u(i,j,0))
uu=u(i,j,1)/u(i,j,0)
c=sqrt(gama*p/u(i,j,0))
vv=u(i,j,2)/u(i,j,0)
H=c*c/(gama-1)+0.5*(uu**2+vv**2)
a1=uu
a2=uu-c
a3=uu+c
a1l=0.5*(a1+sqrt(a1*a1+eps*eps))
a2l=0.5*(a2+sqrt(a2*a2+eps*eps))
a3l=0.5*(a3+sqrt(a3*a3+eps*eps))
a1r=0.5*(a1-sqrt(a1*a1+eps*eps))
a2r=0.5*(a2-sqrt(a2*a2+eps*eps))
a3r=0.5*(a3-sqrt(a3*a3+eps*eps))
fr(i,j,0)=u(i,j,0)/2/gama*(2*(gama-1)*a1r+a2r+a3r)
fr(i,j,1)=u(i,j,0)/2/gama*(2*uu*(gama-1)*a1r+(uu-c)*a2r
& +(uu+c)*a3r)
fr(i,j,2)=u(i,j,0)*vv/2/gama*(2*(gama-1)*a1r
& +a2r+a3r)
fr(i,j,3)=u(i,j,0)/2/gama*(2*((gama-1)*H-c*c)*a1r
& +(H-c*uu)*a2r+(H+uu*c)*a3r)
fl(i,j,0)=u(i,j,0)/2/gama*(2*(gama-1)*a1l+a2l+a3l)
fl(i,j,1)=u(i,j,0)/2/gama*(2*uu*(gama-1)*a1l+(uu-c)*a2l
& +(uu+c)*a3l)
fl(i,j,2)=u(i,j,0)*vv/2/gama*(2*(gama-1)*a1l
& +a2l+a3l)
fl(i,j,3)=u(i,j,0)/2/gama*(2*((gama-1)*H-c*c)*a1l
& +(H-c*uu)*a2l+(H+uu*c)*a3l)
enddo
do i=-ighost+1,nx+ighost
do k=0,3
dfl(i,j,k)=fl(i,j,k)-fl(i-1,j,k)
dfr(i,j,k)=fr(i,j,k)-fr(i-1,j,k)
enddo
enddo
do i=-ighost+1,nx+ighost-1
do k=0,3
y=minmod(dfl(i,j,k),dfl(i+1,j,k))
ffl(i,j,k)=fl(i,j,k)+0.5*y
enddo
enddo
do i=-ighost+1,nx+ighost-2
do k=0,3
y=minmod(dfr(i+1,j,k),dfr(i+2,j,k))
ffr(i,j,k)=fr(i+1,j,k)-0.5*y
enddo
enddo
do i=-ighost+1,nx+ighost-2
do k=0,3
ft(i,j,k)=ffl(i,j,k)+ffr(i,j,k)
enddo
enddo
enddo
end
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