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convect.f
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c-----------------------------------------------------------------------
c
c Stability limits:
c
c AB3: .7236 w/safety (1.2): .603
c
c RK3: 1.73 (sqrt 3) w/safety (1.2): 1.44
c
c RK4: 2.828 w/safety (1.2): 2.36
c
c SEM Safety factor: 1.52 for N=3
c < 1.20 for N=16
c ~ 1.16 for N=256
c
c-----------------------------------------------------------------------
subroutine setup_convect(igeom)
include 'SIZE'
include 'TOTAL'
logical ifnew
common /cchar/ ct_vx(0:lorder+1) ! time for each slice in c_vx()
if (igeom.eq.1) return
if (param(99).lt.0) return ! no dealiasing
if (ifchar) then
nelc = nelv
if (ifmhd) nelc = max(nelv,nelfld(ifldmhd))
if (ifmhd) call exitti('no characteristics for mhd yet$',istep)
ifnew = .true.
if (igeom.gt.2) ifnew = .false.
call set_conv_char(ct_vx,c_vx,vx,vy,vz,nelc,time,ifnew)
else
if (.not.ifpert) then
if (ifcons) then
call set_convect_cons (vxd,vyd,vzd,vx,vy,vz)
else
call set_convect_new (vxd,vyd,vzd,vx,vy,vz)
endif
endif
endif
c write(6,*) istep,' conv',ifnew,igeom,' continu? ',time
c read(5,*) dum
return
end
c-----------------------------------------------------------------------
subroutine char_conv(p0,u,ulag,msk,c,cs,gsl)
c
c
c Convect over last NBD steps using characteristics scheme
c
c NOTE: Here, we assume that ulag is stored by time-slice first,
c then by field number (this is opposite to prior Nek5000)
c
c
include 'SIZE'
include 'TOTAL'
real p0(1),u(1),ulag(1),msk(1),c(1),cs(0:1)
integer gsl
common /scrns/ ct (lxd*lyd*lzd*lelv*ldim)
common /scrvh/ bmsk(lx1*ly1*lz1*lelv)
$ , u1 (lx1*ly1*lz1*lelv)
common /scrmg/ r1 (lx1*ly1*lz1*lelv)
$ , r2 (lx1*ly1*lz1*lelv)
$ , r3 (lx1*ly1*lz1*lelv)
$ , r4 (lx1*ly1*lz1*lelv)
c
nelc = nelv ! number of elements in convecting field
if (ifield.eq.ifldmhd) nelc = nelfld(ifield)
nc = cs(0) ! number of stored convecting fields
ln = lx1*ly1*lz1*lelt
n = nx1*ny1*nz1*nelfld(ifield)
m = nxd*nyd*nzd*nelc*ndim
if (ifield.eq.ifldmhd) then
call col3(bmsk,bintm1,msk,n)
elseif (ifield.eq.1) then
call col3(bmsk,binvm1,msk,n)
else ! if (ifield.eq.2) then
call col3(bmsk,bintm1,msk,n)
endif
call char_conv1
$ (p0,bmsk,u,n,ulag,ln,gsl,c,m,cs(1),nc,ct,u1,r1,r2,r3,r4)
return
end
c-----------------------------------------------------------------------
subroutine char_conv1
$ (p0,bmsk,u,n,ulag,ln,gsl,c,m,cs,nc,ct,u1,r1,r2,r3,r4)
include 'SIZE'
include 'INPUT'
include 'TSTEP'
real p0(n),u(n),ulag(ln,1),bmsk(n),c(m,0:nc),cs(0:nc)
real ct(m),u1(n),r1(n),r2(n),r3(n),r4(n) ! work arrays
integer gsl
! Convect over last NBD steps using characteristics scheme
! n-q n-1
! Given u(t , X ), q = 1,2,...,nbd, compute phi ( := p0 )
! n-1 nbd ~n-q
! phi := sum u
! q=1
! ~n-q ~n-q
! each u satisfies u := v such that
! dv
! -- + C.grad v = 0 t \in [t^n-q,t^n], v(t^n-q,X) = u(t^n-q,X)
! dt
tau = time-vlsum(dtlag,nbd) ! initialize time for u^n-k
call int_vel (ct,tau,c,m,nc,cs,nid) ! ct(t) = sum w_k c(.,k)
call rzero(p0,n)
do ilag = nbd,1,-1
um = 0
if (ilag.eq.1) then
do i=1,n
p0(i) = p0(i)+bd(ilag+1)*u(i)
um=max(um,u(i))
enddo
else
do i=1,n
p0(i) = p0(i)+bd(ilag+1)*ulag(i,ilag-1)
um=max(um,ulag(i,ilag-1))
enddo
endif
c write(6,1) istep,ilag,bd(ilag),bd(ilag+1),um
c 1 format(i5,i4,1p3e14.5,' bdf')
dtau = dtlag(ilag)/ntaubd
do itau = 1,ntaubd ! ntaubd=number of RK4 substeps (typ. 1 or 2)
tau1 = tau + dtau
c1 = 1.
c2 = -dtau/2.
c3 = -dtau
th = tau+dtau/2.
call conv_rhs(r1,p0,ct,bmsk,gsl) ! STAGE 1
call int_vel (ct,th,c,m,nc,cs,nid) ! STAGE 2
call add3s12 (u1,p0,r1,c1,c2,n)
call conv_rhs(r2,u1,ct,bmsk,gsl)
call add3s12 (u1,p0,r2,c1,c2,n) ! STAGE 3
call conv_rhs(r3,u1,ct,bmsk,gsl)
call int_vel (ct,tau1,c,m,nc,cs,nid) ! STAGE 4
call add3s12 (u1,p0,r3,c1,c3,n)
call conv_rhs(r4,u1,ct,bmsk,gsl)
c1 = -dtau/6.
c2 = -dtau/3.
do i=1,n
p0(i) = p0(i)+c1*(r1(i)+r4(i))+c2*(r2(i)+r3(i))
enddo
tau = tau1
enddo
enddo
return
end
c-----------------------------------------------------------------------
subroutine int_vel(c_t,t0,c,n,nc,ct,nid)
c Interpolate convecting velocity field c(t_1,...,t_nconv) to
c time t0 and return result in c_t.
c Ouput: c_t = sum wt_k * ct_i(k)
c Here, t0 is the time of interest
real c_t(n),c(n,0:nc),ct(0:nc)
c
parameter (lwtmax=10)
real wt(0:lwtmax)
c
if (nc.gt.lwtmax) then
write(6,*) nid,'ERROR int_vel: lwtmax too small',lwtmax,nc
call exitt
endif
c
no = nc-1
call fd_weights_full(t0,ct(0),no,0,wt) ! interpolation weights
call rzero(c_t,n)
do j=1,n
do i=0,no
c_t(j) = c_t(j) + wt(i)*c(j,i)
enddo
enddo
return
end
c-----------------------------------------------------------------------
subroutine conv_rhs (du,u,c,bmsk,gsl)
c
include 'SIZE'
include 'TOTAL'
c
c apply convecting field c(1,ndim) to scalar field u(1)
c
real du(1),u(1),c(1),bmsk(1)
integer gsl
c
logical ifconv
c
c ifconv = .false.
ifconv = .true.
c
n = nx1*ny1*nz1*nelv
if (ifdg) then
if (param(97).eq.0) call conv_rhs_dg (du,u,c)
if (param(97).eq.1) call conv_rhs_dg_aliased (du,u,c)
elseif (ifconv) then
if (ifcons) then
if (if3d ) call convop_cons_3d (du,u,c,nx1,nxd,nelv)
if (.not.if3d) call convop_cons_2d (du,u,c,nx1,nxd,nelv)
else
if (if3d ) call convop_fst_3d (du,u,c,nx1,nxd,nelv)
if (.not.if3d) call convop_fst_2d (du,u,c,nx1,nxd,nelv)
endif
call gs_op(gsl,du,1,1,0) ! +
call col2 (du,bmsk,n) ! du = Binv * msk * du
else
call rzero (du,n)
endif
return
end
c-----------------------------------------------------------------------
subroutine convop_fst_3d(du,u,c,mx,md,nel)
c
include 'SIZE'
c
c apply convecting field c to scalar field u
c
real du(mx*mx*mx,nel)
real u(mx*mx*mx,nel)
real c(md*md*md,nel,3)
parameter (ldd=lxd*lyd*lzd)
common /ctmp1/ ur(ldd),us(ldd),ut(ldd),ud(ldd)
c
logical if3d,ifd
integer e
c
if3d = .true.
ifd = .false.
if (md.ne.mx) ifd=.true.
ifd=.true.
c
nrstd = md**3
call lim_chk(nrstd,ldd,'urus ','ldd ','convop_fst')
c
do e=1,nel
call grad_rstd(ur,us,ut,u(1,e),mx,md,if3d,ud)
if (ifd) then ! dealiased
do i=1,nrstd
c C has the mass matrix factored in per (4.8.5), p. 227, DFM.
ud(i) = c(i,e,1)*ur(i)+c(i,e,2)*us(i)+c(i,e,3)*ut(i)
enddo
call intp_rstd(du(1,e),ud,mx,md,if3d,1) ! 1 --> transpose
else
do i=1,nrstd
c C has the mass matrix factored in per (4.8.5), p. 227, DFM.
du(i,e) = c(i,e,1)*ur(i)+c(i,e,2)*us(i)+c(i,e,3)*ut(i)
enddo
endif
enddo
c
return
end
c-----------------------------------------------------------------------
subroutine convop_fst_2d(du,u,c,mx,md,nel)
c
include 'SIZE'
c
c apply convecting field c to scalar field u
c
real du(mx*mx,nel)
real u(mx*mx,nel)
real c(md*md,nel,2)
parameter (ldd=lxd*lyd*lzd)
common /ctmp1/ ur(ldd),us(ldd),ut(ldd),ud(ldd)
c
logical if3d,ifd
integer e
c
if3d = .false.
ifd = .false.
if (md.ne.mx) ifd=.true.
ifd=.true.
c
nrstd = md**2
call lim_chk(nrstd,ldd,'urus ','ldd ','convop_fst')
c
do e=1,nel
call grad_rstd(ur,us,ut,u(1,e),mx,md,if3d,ud)
if (ifd) then ! dealiased
do i=1,nrstd
c C has the mass matrix factored in per (4.8.5), p. 227, DFM.
ud(i) = c(i,e,1)*ur(i)+c(i,e,2)*us(i)
enddo
call intp_rstd(du(1,e),ud,mx,md,if3d,1) ! 1 --> transpose
else
do i=1,nrstd
c C has the mass matrix factored in per (4.8.5), p. 227, DFM.
du(i,e) = c(i,e,1)*ur(i)+c(i,e,2)*us(i)
enddo
endif
enddo
c
return
end
c-----------------------------------------------------------------------
subroutine grad_rstd(ur,us,ut,u,mx,md,if3d,ju) ! GLL->GL grad
include 'SIZE'
include 'DXYZ'
real ur(1),us(1),ut(1),u(1),ju(1)
logical if3d
parameter (ldg=lxd**3,lwkd=4*lxd*lxd)
common /dgrad/ d(ldg),dt(ldg),dg(ldg),dgt(ldg),jgl(ldg),jgt(ldg)
$ , wkd(lwkd)
real jgl,jgt
call intp_rstd(ju,u,mx,md,if3d,0) ! 0 = forward
m0 = md-1
call get_dgl_ptr (ip,md,md)
if (if3d) then
call local_grad3(ur,us,ut,ju,m0,1,dg(ip),dgt(ip))
else
call local_grad2(ur,us ,ju,m0,1,dg(ip),dgt(ip))
endif
return
end
c-----------------------------------------------------------------------
subroutine intp_rstd(ju,u,mx,md,if3d,idir) ! GLL->GL interpolation
c GLL interpolation from mx to md.
c If idir ^= 0, then apply transpose operator (md to mx)
include 'SIZE'
real ju(1),u(1)
logical if3d
parameter (ldg=lxd**3,lwkd=4*lxd*lxd)
common /dgrad/ d(ldg),dt(ldg),dg(ldg),dgt(ldg),jgl(ldg),jgt(ldg)
$ , wkd(lwkd)
real jgl,jgt
parameter (ld=2*lxd)
common /ctmp0/ w(ld**ldim,2)
call lim_chk(md,ld,'md ','ld ','grad_rstd ')
call lim_chk(mx,ld,'mx ','ld ','grad_rstd ')
ldw = 2*(ld**ldim)
call get_int_ptr (i,mx,md)
c
if (idir.eq.0) then
call specmpn(ju,md,u,mx,jgl(i),jgt(i),if3d,w,ldw)
else
call specmpn(ju,mx,u,md,jgt(i),jgl(i),if3d,w,ldw)
endif
c
return
end
c-----------------------------------------------------------------------
subroutine gen_int(jgl,jgt,mp,np,w)
c
c Generate interpolation from np GLL points to mp GL points
c
c jgl = interpolation matrix, mapping from velocity nodes to pressure
c jgt = transpose of interpolation matrix
c w = work array of size (np+mp)
c
c np = number of points on GLL grid
c mp = number of points on GL grid
c
c
real jgl(mp,np),jgt(np*mp),w(1)
c
iz = 1
id = iz + np
c
call zwgll (w(iz),jgt,np)
call zwgl (w(id),jgt,mp)
c
n = np-1
do i=1,mp
call fd_weights_full(w(id+i-1),w(iz),n,0,jgt)
do j=1,np
jgl(i,j) = jgt(j) ! Interpolation matrix
enddo
enddo
c
call transpose(jgt,np,jgl,mp)
c
return
end
c-----------------------------------------------------------------------
subroutine gen_dgl(dgl,dgt,mp,np,w)
c
c Generate derivative from np GL points onto mp GL points
c
c dgl = interpolation matrix, mapping from velocity nodes to pressure
c dgt = transpose of interpolation matrix
c w = work array of size (3*np+mp)
c
c np = number of points on GLL grid
c mp = number of points on GL grid
c
c
c
real dgl(mp,np),dgt(np*mp),w(1)
c
c
iz = 1
id = iz + np
c
call zwgl (w(iz),dgt,np) ! GL points
call zwgl (w(id),dgt,mp) ! GL points
c
ndgt = 2*np
ldgt = mp*np
call lim_chk(ndgt,ldgt,'ldgt ','dgt ','gen_dgl ')
c
n = np-1
do i=1,mp
call fd_weights_full(w(id+i-1),w(iz),n,1,dgt) ! 1=1st deriv.
do j=1,np
dgl(i,j) = dgt(np+j) ! Derivative matrix
enddo
enddo
c
call transpose(dgt,np,dgl,mp)
c
return
end
c-----------------------------------------------------------------------
subroutine lim_chk(n,m,avar5,lvar5,sub_name10)
include 'SIZE' ! need nid
character*5 avar5,lvar5
character*10 sub_name10
if (n.gt.m) then
write(6,1) nid,n,m,avar5,lvar5,sub_name10
1 format(i8,' ERROR: :',2i12,2(1x,a5),1x,a10)
call exitti('lim_chk problem. $',n)
endif
return
end
c-----------------------------------------------------------------------
subroutine get_int_ptr (ip,mx,md) ! GLL-->GL pointer
c Get pointer to jgl() for interpolation pair (mx,md)
include 'SIZE'
parameter (ldg=lxd**3,lwkd=4*lxd*lxd)
common /dgrad/ d(ldg),dt(ldg),dg(ldg),dgt(ldg),jgl(ldg),jgt(ldg)
$ , wkd(lwkd)
real jgl,jgt
c
parameter (ld=2*lxd)
common /igrad/ pd (0:ld*ld)
$ , pdg (0:ld*ld)
$ , pjgl (0:ld*ld)
integer pd , pdg , pjgl
c
ij = md + ld*(mx-1)
ip = pjgl(ij)
c
if (ip.eq.0) then
c
nstore = pjgl(0)
pjgl(ij) = nstore+1
nstore = nstore + md*mx
pjgl(0) = nstore
ip = pjgl(ij)
c
nwrkd = mx + md
call lim_chk(nstore,ldg ,'jgl ','ldg ','get_int_pt')
call lim_chk(nwrkd ,lwkd,'wkd ','lwkd ','get_int_pt')
c
call gen_int(jgl(ip),jgt(ip),md,mx,wkd)
endif
c
return
end
c-----------------------------------------------------------------------
subroutine get_dgl_ptr (ip,mx,md)
c
c Get pointer to GL-GL interpolation dgl() for pair (mx,md)
c
include 'SIZE'
c
parameter (ldg=lxd**3,lwkd=4*lxd*lxd)
common /dgrad/ d(ldg),dt(ldg),dg(ldg),dgt(ldg),jgl(ldg),jgt(ldg)
$ , wkd(lwkd)
real jgl,jgt
c
parameter (ld=2*lxd)
common /jgrad/ pd (0:ld*ld)
$ , pdg (0:ld*ld)
$ , pjgl (0:ld*ld)
integer pd , pdg , pjgl
c
ij = md + ld*(mx-1)
ip = pdg (ij)
if (ip.eq.0) then
nstore = pdg (0)
pdg (ij) = nstore+1
nstore = nstore + md*mx
pdg (0) = nstore
ip = pdg (ij)
c
nwrkd = mx + md
call lim_chk(nstore,ldg ,'dg ','ldg ','get_dgl_pt')
call lim_chk(nwrkd ,lwkd,'wkd ','lwkd ','get_dgl_pt')
c
call gen_dgl(dg (ip),dgt(ip),md,mx,wkd)
endif
c
return
end
c-----------------------------------------------------------------------
subroutine set_conv_char(ct,c,ux,uy,uz,nelc,tau,ifnew)
include 'SIZE'
include 'TSTEP'
real ct(0:1) ! time stamps for saved field (0=#flds)
real c(1) ! saved vel. fields, dealiased etc.
real ux(1),uy(1),uz(1) ! input vel. field
integer nelc ! number of elements in conv. field
logical ifnew ! =true if shifting stack of fields
numr = lxd*lyd*lzd*lelv*ldim*(lorder+1)
denr = nxd*nyd*nzd*nelv*ndim
nconv_max = numr/denr
if (nconv_max.lt.nbdinp+1)
$ call exitti(
$ 'ABORT: not enough memory for characteristics scheme!$',
$ nconv_max)
nc = ct(0)
m = nxd*nyd*nzd*nelc*ndim
c write(6,*) nelc,ifnew,' set conv_char',istep,nc,nconv_max
call set_ct_cvx
$ (ct,c,m,ux,uy,uz,tau,nc,nconv_max,nelc,ifnew)
nc = min (nc,nbdinp)
ct(0) = nc ! store current count
return
end
c-----------------------------------------------------------------------
subroutine set_ct_cvx(ct,c,m,u,v,w,tau,nc,mc,nelc,ifnew)
include 'SIZE'
include 'INPUT' ! ifcons
real ct(0:1),c(m,1)
real u(1),v(1),w(1)
logical ifnew
if (ifnew) then
c Shift existing convecting fields
c Note: "1" entry is most recent
nc = nc+1
nc = min(nc,mc)
ct(0) = nc
do i=nc,2,-1
call copy(c(1,i),c(1,i-1),m)
ct(i) = ct(i-1)
enddo
endif
c Save time and map the current velocity to rst coordinates.
ix = 1
iy = ix + nxd*nyd*nzd*nelc
iz = iy + nxd*nyd*nzd*nelc
if (ifcons) then
call set_convect_cons(c(ix,1),c(iy,1),c(iz,1),u,v,w)
else
call set_convect_new (c(ix,1),c(iy,1),c(iz,1),u,v,w)
endif
ct(1) = tau
return
end
c-----------------------------------------------------------------------
subroutine grad_rst(ur,us,ut,u,md,if3d) ! Gauss-->Gauss grad
include 'SIZE'
include 'DXYZ'
real ur(1),us(1),ut(1),u(1)
logical if3d
parameter (ldg=lxd**3,lwkd=4*lxd*lxd)
common /dgrad/ d(ldg),dt(ldg),dg(ldg),dgt(ldg),jgl(ldg),jgt(ldg)
$ , wkd(lwkd)
real jgl,jgt
m0 = md-1
call get_dgl_ptr (ip,md,md)
if (if3d) then
call local_grad3(ur,us,ut,u,m0,1,dg(ip),dgt(ip))
else
call local_grad2(ur,us ,u,m0,1,dg(ip),dgt(ip))
endif
return
end
c-----------------------------------------------------------------------
subroutine convect_new(bdu,u,ifuf,cx,cy,cz,ifcf)
C Compute dealiased form: J^T Bf *JC .grad Ju w/ correct Jacobians
C
include 'SIZE'
include 'TOTAL'
real bdu(1),u(1),cx(1),cy(1),cz(1)
logical ifuf,ifcf ! u and/or c already on fine mesh?
parameter (lxy=lx1*ly1*lz1,ltd=lxd*lyd*lzd)
common /scrcv/ fx(ltd),fy(ltd),fz(ltd)
$ , ur(ltd),us(ltd),ut(ltd)
$ , tr(ltd,3),uf(ltd)
integer e
call set_dealias_rx
nxyz1 = nx1*ny1*nz1
nxyzd = nxd*nyd*nzd
nxyzu = nxyz1
if (ifuf) nxyzu = nxyzd
nxyzc = nxyz1
if (ifcf) nxyzc = nxyzd
iu = 1 ! pointer to scalar field u
ic = 1 ! pointer to vector field C
ib = 1 ! pointer to scalar field Bdu
do e=1,nelv
if (ifcf) then
call copy(tr(1,1),cx(ic),nxyzd) ! already in rst form
call copy(tr(1,2),cy(ic),nxyzd)
if (if3d) call copy(tr(1,3),cz(ic),nxyzd)
else ! map coarse velocity to fine mesh (C-->F)
call intp_rstd(fx,cx(ic),nx1,nxd,if3d,0) ! 0 --> forward
call intp_rstd(fy,cy(ic),nx1,nxd,if3d,0) ! 0 --> forward
if (if3d) call intp_rstd(fz,cz(ic),nx1,nxd,if3d,0) ! 0 --> forward
if (if3d) then ! Convert convector F to r-s-t coordinates
do i=1,nxyzd
tr(i,1)=rx(i,1,e)*fx(i)+rx(i,2,e)*fy(i)+rx(i,3,e)*fz(i)
tr(i,2)=rx(i,4,e)*fx(i)+rx(i,5,e)*fy(i)+rx(i,6,e)*fz(i)
tr(i,3)=rx(i,7,e)*fx(i)+rx(i,8,e)*fy(i)+rx(i,9,e)*fz(i)
enddo
else
do i=1,nxyzd
tr(i,1)=rx(i,1,e)*fx(i)+rx(i,2,e)*fy(i)
tr(i,2)=rx(i,3,e)*fx(i)+rx(i,4,e)*fy(i)
enddo
endif
endif
if (ifuf) then
call grad_rst(ur,us,ut,u(iu),nxd,if3d)
else
call intp_rstd(uf,u(iu),nx1,nxd,if3d,0) ! 0 --> forward
call grad_rst(ur,us,ut,uf,nxd,if3d)
endif
if (if3d) then
do i=1,nxyzd ! mass matrix included, per DFM (4.8.5)
uf(i) = tr(i,1)*ur(i)+tr(i,2)*us(i)+tr(i,3)*ut(i)
enddo
else
do i=1,nxyzd ! mass matrix included, per DFM (4.8.5)
uf(i) = tr(i,1)*ur(i)+tr(i,2)*us(i)
enddo
endif
call intp_rstd(bdu(ib),uf,nx1,nxd,if3d,1) ! Project back to coarse
ic = ic + nxyzc
iu = iu + nxyzu
ib = ib + nxyz1
enddo
return
end
c-----------------------------------------------------------------------
subroutine convect_cons(bdu,u,ifuf,cx,cy,cz,ifcf)
c Compute dealiased form: J^T Bf *div. JC Ju w/ correct Jacobians
c conservative form
include 'SIZE'
include 'TOTAL'
real bdu(1),u(1),cx(1),cy(1),cz(1)
logical ifuf,ifcf ! u and/or c already on fine mesh?
parameter (lxy=lx1*ly1*lz1,ltd=lxd*lyd*lzd)
common /scrcv/ uf(ltd),cf(ltd),cu(ltd)
$ , cr(ltd),cs(ltd),ct(ltd)
integer e
call set_dealias_rx
nxyz1 = nx1*ny1*nz1
nxyzd = nxd*nyd*nzd
nxyzu = nxyz1
if (ifuf) nxyzu = nxyzd
nxyzc = nxyz1
if (ifcf) nxyzc = nxyzd
iu = 1 ! pointer to scalar field u
ic = 1 ! pointer to vector field C
ib = 1 ! pointer to scalar field Bdu
do e=1,nelv
call intp_rstd(uf,u(iu),nx1,nxd,if3d,0) ! 0 --> forward
call rzero(cu,nxyzd)
do i=1,ndim
if (ifcf) then ! C is already on fine mesh
call exitt ! exit for now
else ! map coarse velocity to fine mesh (C-->F)
if (i.eq.1) call intp_rstd(cf,cx(ic),nx1,nxd,if3d,0) ! 0 --> forward
if (i.eq.2) call intp_rstd(cf,cy(ic),nx1,nxd,if3d,0) ! 0 --> forward
if (i.eq.3) call intp_rstd(cf,cz(ic),nx1,nxd,if3d,0) ! 0 --> forward
call col2(cf,uf,nxyzd) ! collocate C and u on fine mesh
call grad_rst(cr,cs,ct,cf,nxd,if3d) ! d/dr (C_i*u)
if (if3d) then
do j=1,nxyzd
cu(j)=cu(j)
$ +cr(j)*rx(j,i,e)+cs(j)*rx(j,i+3,e)+ct(j)*rx(j,i+6,e)
enddo
else ! 2D
do j=1,nxyzd
cu(j)=cu(j)
$ +cr(j)*rx(j,i,e)+cs(j)*rx(j,i+2,e)
enddo
endif
endif
enddo
call intp_rstd(bdu(ib),cu,nx1,nxd,if3d,1) ! Project back to coarse
ic = ic + nxyzc
iu = iu + nxyzu
ib = ib + nxyz1
enddo
return
end
c-----------------------------------------------------------------------
subroutine set_convect_cons(cx,cy,cz,ux,uy,uz)
c Put vx,vy,vz on fine mesh (for conservation form)
include 'SIZE'
include 'TOTAL'
parameter (lxy=lx1*ly1*lz1,ltd=lxd*lyd*lzd)
real cx(ltd,1),cy(ltd,1),cz(ltd,1)
real ux(lxy,1),uy(lxy,1),uz(lxy,1)
integer e
call set_dealias_rx
do e=1,nelv ! Map coarse velocity to fine mesh (C-->F)
call intp_rstd(cx(1,e),ux(1,e),nx1,nxd,if3d,0) ! 0 --> forward
call intp_rstd(cy(1,e),uy(1,e),nx1,nxd,if3d,0) ! 0 --> forward
if (if3d) call intp_rstd(cz(1,e),uz(1,e),nx1,nxd,if3d,0) ! 0 --> forward
enddo
return
end
c-----------------------------------------------------------------------
subroutine set_convect_new(cr,cs,ct,ux,uy,uz)
C
C Put vxd,vyd,vzd into rst form on fine mesh
C
C For rst form, see eq. (4.8.5) in Deville, Fischer, Mund (2002).
C
include 'SIZE'
include 'TOTAL'
parameter (lxy=lx1*ly1*lz1,ltd=lxd*lyd*lzd)
real cr(ltd,1),cs(ltd,1),ct(ltd,1)
real ux(lxy,1),uy(lxy,1),uz(lxy,1)
common /scrcv/ fx(ltd),fy(ltd),fz(ltd)
$ , ur(ltd),us(ltd),ut(ltd)
$ , tr(ltd,3),uf(ltd)
integer e
call set_dealias_rx
nxyz1 = nx1*ny1*nz1
nxyzd = nxd*nyd*nzd
ic = 1 ! pointer to vector field C
do e=1,nelv
c Map coarse velocity to fine mesh (C-->F)
call intp_rstd(fx,ux(1,e),nx1,nxd,if3d,0) ! 0 --> forward
call intp_rstd(fy,uy(1,e),nx1,nxd,if3d,0) ! 0 --> forward
if (if3d) call intp_rstd(fz,uz(1,e),nx1,nxd,if3d,0) ! 0 --> forward
c Convert convector F to r-s-t coordinates
if (if3d) then
do i=1,nxyzd
cr(i,e)=rx(i,1,e)*fx(i)+rx(i,2,e)*fy(i)+rx(i,3,e)*fz(i)
cs(i,e)=rx(i,4,e)*fx(i)+rx(i,5,e)*fy(i)+rx(i,6,e)*fz(i)
ct(i,e)=rx(i,7,e)*fx(i)+rx(i,8,e)*fy(i)+rx(i,9,e)*fz(i)
enddo
else
do i=1,nxyzd
cr(i,e)=rx(i,1,e)*fx(i)+rx(i,2,e)*fy(i)
cs(i,e)=rx(i,3,e)*fx(i)+rx(i,4,e)*fy(i)
enddo
endif
enddo
return
end
c-----------------------------------------------------------------------
subroutine set_char_mask(mask,u,v,w) ! mask for hyperbolic system
include 'SIZE'
include 'INPUT'
include 'GEOM'
include 'SOLN'
include 'TSTEP'
integer msk(0:1)
character cb*3
parameter (lxyz1=lx1*ly1*lz1)
common /ctmp1/ work(lxyz1,lelt)
real mask(lxyz1,1),u(lxyz1,1),v(lxyz1,1),w(lxyz1,1)
integer e,f
nfaces= 2*ndim
ntot1 = nx1*ny1*nz1*nelv
call rzero (work,ntot1)
call rone (mask,NTOT1)
ifldv = 1
do 100 e=1,nelv
do 100 f=1,nfaces
cb=cbc(f,e,ifldv)
if (cb(1:1).eq.'v' .or. cb(1:1).eq.'V') then
call faccl3 (work(1,e),u(1,e),unx(1,1,f,e),f)
call faddcl3(work(1,e),v(1,e),uny(1,1,f,e),f)
if (if3d)
$ call faddcl3(work(1,e),w(1,e),unz(1,1,f,e),f)
call fcaver (vaver,work,e,f)
if (vaver.lt.0) call facev (mask,e,f,0.0,nx1,ny1,nz1)
endif
if (cb(1:2).eq.'ws' .or. cb(1:2).eq.'WS')
$ call facev (mask,e,f,0.0,nx1,ny1,nz1)
100 continue
return
end
c-----------------------------------------------------------------------
subroutine advchar
c
c Compute convective contribution using
c operator-integrator-factor method (characteristics).
c
include 'SIZE'
include 'MASS'
include 'INPUT'
include 'SOLN'
include 'TSTEP'
include 'PARALLEL'
include 'CTIMER'
common /cchar/ ct_vx(0:lorder) ! time for each slice in c_vx()
common /scruz/ phx (lx1*ly1*lz1*lelt)
$ , phy (lx1*ly1*lz1*lelt)
$ , phz (lx1*ly1*lz1*lelt)
$ , hmsk (lx1*ly1*lz1*lelt)
if (icalld.eq.0) tadvc=0.0