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interp.F90
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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! !
! FILE: interp.F90 !
! CONTAINS: subroutine interp,gridnew,interptrilin !
! !
! PURPOSE: Trilinear interpolation to a new grid for !
! continuation files. Assumes alx3=1 !
! !
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
subroutine interp(arrold,arrnew,nzo,nyo,nxo, &
& istro3,stro3,intvar,xs2o,xe2o,xs3o,xe3o)
use param
use mpih
use decomp_2d, only: xstart,xend
implicit none
integer :: istro3
real :: stro3
integer,intent(in) :: intvar,nyo,nxo,nzo
integer,intent(in) :: xs2o,xe2o,xs3o,xe3o
real,intent(out),dimension(1:nx,xstart(2):xend(2), &
& xstart(3):xend(3)) :: arrnew
real,dimension(0:nxo+1,xs2o-1:xe2o+1,xs3o-1:xe3o+1) :: arrold
real,dimension(0:nzo+1) :: tcold,tmold
real,dimension(1:nz) :: tcnew,tmnew
real,dimension(0:nyo+1) :: rcold,rmold
real,dimension(1:ny) :: rcnew,rmnew
real,dimension(0:nxo+1) :: zzold,zmold
real,dimension(1:nx) :: zznew,zmnew
real, dimension(0:nzo+1) :: xold
real, dimension(0:nyo+1) :: yold
real, dimension(0:nxo+1) :: zold
real, dimension(1:nz) :: xnew
real, dimension(1:ny) :: ynew
real, dimension(1:nx) :: znew
real :: bn(6),an(8)
real :: bix1,bix2,biy1,biy2,biz1,biz2,bix,biy,biz
integer :: j,k,i,l
real :: sfcf,sfff,sccf,scff,sfcc,sffc,sccc,scfc
integer :: bici,bifi,bicj,bifj,bick,bifk
!EP Create old grid
call gridnew(nzo,zlen,0,1.0,tcold(1:nzo),tmold(1:nzo))
call gridnew(nyo,ylen,0,1.0,rcold(1:nyo),rmold(1:nyo))
call gridnew(nxo,1.0d0,istro3,stro3,zzold(1:nxo),zmold(1:nxo))
!EP 2nd order extrapolation of grid
tcold(0) = 2*tcold(1)-tcold(2)
tcold(nzo+1) = 2*tcold(nzo)-tcold(nzo-1)
tmold(0) = 2*tmold(1)-tmold(2)
tmold(nzo+1) = 2*tmold(nzo)-tmold(nzo-1)
rcold(0) = 2*rcold(1)-rcold(2)
rcold(nyo+1) = 2*rcold(nyo)-rcold(nyo-1)
rmold(0) = 2*rmold(1)-rmold(2)
rmold(nyo+1) = 2*rmold(nyo)-rmold(nyo-1)
zzold(0) = 2*zzold(1)-zzold(2)
zzold(nxo+1) = 2*zzold(nxo)-zzold(nxo-1)
zmold(0) = 2*zmold(1)-zmold(2)
zmold(nxo+1) = 2*zmold(nxo)-zmold(nxo-1)
!EP Create new grid
call gridnew(nz,zlen,0,1.0,tcnew,tmnew)
call gridnew(ny,ylen,0,1.0,rcnew,rmnew)
call gridnew(nx,1.0d0,istr3,str3,zznew,zmnew)
select case (intvar)
case (1)
xold=tcold
yold=rmold
zold=zmold
xnew=tcnew
ynew=rmnew
znew=zmnew
case (2)
xold=tmold
yold=rcold
zold=zmold
xnew=tmnew
ynew=rcnew
znew=zmnew
case (3)
xold=tmold
yold=rmold
zold=zzold
xnew=tmnew
ynew=rmnew
znew=zznew
case (4)
xold=tmold
yold=rmold
zold=zmold
xnew=tmnew
ynew=rmnew
znew=zmnew
end select
!EP Extrapolate halo
do i=xs3o,xe3o
do j=xs2o,xe2o
arrold(0 ,j,i)=2.0*arrold(1 ,j,i)-arrold(2,j,i)
arrold(nxo+1,j,i)=2.0*arrold(nxo,j,i)-arrold(nxo-1,j,i)
enddo
enddo
do j=xs2o,xe2o
do k=1,nxo
arrold(k,j,xs3o-1)=2.0*arrold(k,j,xs3o)-arrold(k,j,xs3o+1)
arrold(k,j,xe3o+1)=2.0*arrold(k,j,xe3o)-arrold(k,j,xe3o-1)
enddo
enddo
do i=xs3o,xe3o
do k=1,nxo
arrold(k,xs2o-1,i)=2.0*arrold(k,xs2o,i)-arrold(k,xs2o+1,i)
arrold(k,xe2o+1,i)=2.0*arrold(k,xe2o,i)-arrold(k,xe2o-1,i)
enddo
enddo
!EP INTERP
do i=xstart(3),xend(3)
do j=xstart(2),xend(2)
do k=1,nx
!c Find nearest grid value
bix=xnew(i)
biy=ynew(j)
biz=znew(k)
bifi=nzo-1
bici=nzo
do l=1,nzo
if(xold(l).ge.bix) then
bifi=l-1
bici=l
goto 10
endif
enddo
10 continue
bifj=nyo-1
bicj=nyo
do l=1,nyo
if(yold(l).ge.biy) then
bifj=l-1
bicj=l
goto 20
endif
enddo
20 continue
bifk=nxo-1
bick=nxo
do l=1,nxo
if(zold(l).ge.biz) then
bifk=l-1
bick=l
goto 30
endif
enddo
30 continue
!cc Define
bix1 = xold(bifi)
bix2 = xold(bici)
biy1 = yold(bifj)
biy2 = yold(bicj)
biz1 = zold(bifk)
biz2 = zold(bick)
!EP Send data
sfcf = arrold(bifk,bicj,bifi)
sfff = arrold(bifk,bifj,bifi)
sccf = arrold(bifk,bicj,bici)
scff = arrold(bifk,bifj,bici)
sfcc = arrold(bifk,bicj,bifi)
sffc = arrold(bifk,bifj,bifi)
sccc = arrold(bifk,bicj,bici)
scfc = arrold(bifk,bifj,bici)
an(1) = sfcf
an(2) = sfff
an(3) = sccf
an(4) = scff
an(5) = sfcc
an(6) = sffc
an(7) = sccc
an(8) = scfc
bn(1) = bix1
bn(2) = bix2
bn(3) = biy1
bn(4) = biy2
bn(5) = biz1
bn(6) = biz2
call interptrilin(bix,biy,biz,an,bn,arrnew(k,j,i))
enddo
enddo
enddo
end
subroutine interptrilin(bix,biy,biz,an,bn,ans)
implicit none
real, intent(in) :: bix,biy,biz
real,intent(in) :: bn(6),an(8)
real, intent(out) :: ans
real :: bix1,bix2,biy1,biy2,biz1,biz2
real :: afifjck,acifjck,aficjck,acicjck
real :: afifjfk,acifjfk,aficjfk,acicjfk,dxdydz
aficjfk = an(1)
afifjfk = an(2)
acicjfk = an(3)
acifjfk = an(4)
aficjck = an(5)
afifjck = an(6)
acicjck = an(7)
acifjck = an(8)
bix1 = bn(1)
bix2 = bn(2)
biy1 = bn(3)
biy2 = bn(4)
biz1 = bn(5)
biz2 = bn(6)
dxdydz = 1.0/((bix2-bix1)*(biy2-biy1)*(biz2-biz1))
ans = (aficjfk*(bix2-bix)*(biy-biy1)*(biz2-biz) &
& +afifjfk*(bix2-bix)*(biy2-biy)*(biz2-biz) &
& +acicjfk*(bix-bix1)*(biy-biy1)*(biz2-biz) &
& +acifjfk*(bix-bix1)*(biy2-biy)*(biz2-biz) &
& +aficjck*(bix2-bix)*(biy-biy1)*(biz-biz1) &
& +afifjck*(bix2-bix)*(biy2-biy)*(biz-biz1) &
& +acicjck*(bix-bix1)*(biy-biy1)*(biz-biz1) &
& +acifjck*(bix-bix1)*(biy2-biy)*(biz-biz1) &
& )*dxdydz
end
subroutine gridnew(n,rext,istr,str,rc,rm)
implicit none
double precision,intent(in) :: rext,str
double precision,dimension(1:n),intent(out) :: rc,rm
double precision,dimension(1:n) :: etaz
double precision,dimension(1:n+400) :: etazm
double precision :: x3,etain,delet,pi
integer,intent(in) :: n,istr
integer :: i,nxmo,nclip
if (istr.eq.0) then
do i=1,n
x3=real(i-1)/real(n-1)
rc(i)=rext*x3
enddo
endif
if(istr.eq.6) then
pi=2.0d0*asin(1.0d0)
nclip = int(str)
nxmo = n+nclip+nclip
do i=1,nxmo
etazm(i)=+cos(pi*(float(i)-0.5)/float(nxmo))
end do
do i=1,n
etaz(i)=etazm(i+nclip)
end do
delet = etaz(1)-etaz(n)
etain = etaz(1)
do i=1,n
etaz(i)=etaz(i)/(0.5*delet)
end do
rc(1) = 0.0
do i=2,n-1
rc(i) = rext*(1.-etaz(i))*0.5
end do
rc(n) = rext
endif
do i=1,n-1
rm(i)=(rc(i)+rc(i+1))*0.5d0
enddo
rm(n) = 2*rc(n)-rm(n-1)
return
end