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cnuity.F
executable file
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cnuity.F
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#if defined(ROW_LAND)
#define SEA_P .true.
#define SEA_U .true.
#define SEA_V .true.
#elif defined(ROW_ALLSEA)
#define SEA_P allip(j).or.ip(i,j).ne.0
#define SEA_U alliu(j).or.iu(i,j).ne.0
#define SEA_V alliv(j).or.iv(i,j).ne.0
#else
#define SEA_P ip(i,j).ne.0
#define SEA_U iu(i,j).ne.0
#define SEA_V iv(i,j).ne.0
#endif
subroutine cnuity(m,n)
use mod_xc ! HYCOM communication interface
use mod_cb_arrays ! HYCOM saved arrays
use mod_pipe ! HYCOM debugging interface
use mod_floats ! HYCOM synthetic floats, drifters and moorings
#if defined(STOKES)
use mod_stokes ! HYCOM Stokes drift
#endif
c
c --- hycom version 1.0
implicit none
c
integer m,n
c
c --- ------------------------------------------------------
c --- continuity equation (flux-corrected transport version)
c --- ------------------------------------------------------
c --- on entry:
c --- dp( :,:,:,n) = time step t-1
c --- dp( :,:,:,m) = time step t
c
c --- dpv( :,:,:,n) = time step t-1
c --- dpv( :,:,:,m) = time step t
c --- dpu( :,:,:,n) = time step t-1
c --- dpu( :,:,:,m) = time step t
c
c --- on exit:
c --- dpo(:,:,:,n) = time step t-1
c --- dpo(:,:,:,m) = time step t
c --- dp( :,:,:,m) = time step t with RA time smoothing
c --- dp( :,:,:,n) = time step t+1
c --- ------------------------------------------------------
c
real dpfatal
parameter (dpfatal=-10.0) !fatal negative dp in meters
c
real epsil_cnuity
parameter (epsil_cnuity=1.e-14)
logical lpipe_cnuity
parameter (lpipe_cnuity=.false.)
c
#if defined(RELO)
integer, save, allocatable, dimension (:,:) ::
& masku,maskv
real, save, allocatable, dimension (:,:) ::
& pold
real, save, allocatable, dimension (:) ::
& dpmn
#else
integer, save, dimension(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy) ::
& masku,maskv
real, save, dimension(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy) ::
& pold
real, save, dimension(1-nbdy:jdm+nbdy) ::
& dpmn
#endif
c
integer i,iflip,iprint,isave,j,jsave,k,l,ia,ib,ja,jb,margin,mbdy
real q,dpmin,clip,flxhi,flxlo,dtinv,dpup,dpdn,thkdfu,thkdfv
real dpold,dpmid,dpnew
real dpkmin(2*kdm)
c
character*12 text,textu,textv
c
#if defined(RELO)
if (.not.allocated(masku)) then
allocate(
& masku(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy),
& maskv(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy),
& pold(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy) )
call mem_stat_add( 2*(idm+2*nbdy)*(jdm+2*nbdy) ) !real=2*int
masku = -99
maskv = -99
pold = r_init
allocate(
& dpmn(1-nbdy:jdm+nbdy) )
call mem_stat_add( jdm+2*nbdy )
dpmn = r_init
endif
c
#endif
mbdy = 6
c
call xctilr(dpmixl( 1-nbdy,1-nbdy, n),1, 1, 6,6, halo_ps)
call xctilr(dp( 1-nbdy,1-nbdy,1,1),1,2*kk, 6,6, halo_ps)
call xctilr(dpu( 1-nbdy,1-nbdy,1,m),1, kk, 6,6, halo_us)
call xctilr(dpv( 1-nbdy,1-nbdy,1,m),1, kk, 6,6, halo_vs)
call xctilr(u( 1-nbdy,1-nbdy,1,m),1, kk, 6,6, halo_uv)
call xctilr(v( 1-nbdy,1-nbdy,1,m),1, kk, 6,6, halo_vv)
call xctilr(ubavg( 1-nbdy,1-nbdy, m),1, 1, 6,6, halo_uv)
call xctilr(vbavg( 1-nbdy,1-nbdy, m),1, 1, 6,6, halo_vv)
cCL/RB MPI bug correction 2011-01 !!Alex
call xctilr(oneta( 1-nbdy,1-nbdy, n),1, 1, 6,6, halo_ps)
call xctilr(oneta( 1-nbdy,1-nbdy, m),1, 1, 6,6, halo_ps)
c --- update pbavg rivers
call xctilr(pbsavu( 1-nbdy,1-nbdy ),1, 1, 6,6, halo_ps)
call xctilr(pbsavv( 1-nbdy,1-nbdy ),1, 1, 6,6, halo_ps)
c
c --- rhs: dpmixl.n
c --- lhs: util3, utotn, vtotn
c
margin = mbdy
c
!$OMP PARALLEL DO PRIVATE(j,i)
!$OMP& SCHEDULE(STATIC,jblk)
do j=1-margin,jj+margin
do i=1-margin,ii+margin
utotn(i,j) = 0.0
vtotn(i,j) = 0.0
util3(i,j) = 0.0
dpmold(i,j) = dpmixl(i,j,n) ! save for Robert-Asselin filter
do k= 1,kk
dpo(i,j,k,n) = dp(i,j,k,n) !t-1
enddo !k
enddo !i
enddo !j
!$OMP END PARALLEL DO
c
if (btrmas) then
onetacon(:,:,:) = oneta(:,:,:)
else
onetacon(:,:,:) = 1.0 !disable onetacon
endif
do 76 k=1,kk
c
c --- uflux/vflux = low-order (diffusive) mass fluxes at old time level.
c --- uflux2/vflux2 = 'antidiffusive' fluxes, defined as high-order minus low-
c --- order fluxes. high-order fluxes are second-order in space, time-centered.
c
c --- rhs: depthu+, util3, dp.n, ubavg.m
c --- lhs: uflux
c
margin = mbdy - 1
! write(6,*)'cnuity.F line 96'
c
do j=1-margin,jj+margin
do l=1,isu(j) !ok
i=ifu(j,l)-1
if (i.ge.1-margin) then
if (iuopn(i,j).ne.0) then
if (iuopn(i,j).eq.1.or.nstep.eq.1) then
q=min(dp(i,j,k,n),max(0.0,depthu(i+1,j)-util3(i,j)))
& * onetacon(i,j,n)
#if defined(STOKES)
! write(6,*)'cnuity.F line 106,i+1,j,k= ',i+1,j,k
utotm(i,j)=(u(i+1,j,k,m)+ubavg(i,j,m)+
& usd(i+1,j,k))*scuy(i,j)
#else
utotm(i,j)=(u(i+1,j,k,m)+ubavg(i,j,m))*scuy(i,j)
#endif
else
q=min(dp(i,j,k,n),max(0.,depthu(i+1,j)-util3(i,j)))
& * (onetai(i,j) + pbsavu(i,j) /pbot(i,j))
utotm(i,j)=ubavg(i,j,m)*scuy(i,j) ! no stock drift for rivers
endif
uflux(i,j)=utotm(i,j)*q
c --- flux used for river
if (iuopn(i,j).eq.2) uflx(i,j,k)=uflux(i,j)
endif
endif
i=ilu(j,l)+1
if (i.le.ii+margin) then
if (iuopn(i,j).ne.0) then
if (iuopn(i,j).eq.1.or.nstep.eq.1) then
q=min(dp(i-1,j,k,n),max(0.0,depthu(i-1,j)
& - util3(i-1,j)))
& * onetacon(i-1,j,n)
#if defined(STOKES)
! write(6,*)'cnuity.F line 119,i-1,j,k= ',i-1,j,k
utotm(i,j)=(u(i-1,j,k,m)+ubavg(i,j,m)+
& usd(i-1,j,k))*scuy(i,j)
#else
utotm(i,j)=(u(i-1,j,k,m)+ubavg(i,j,m))*scuy(i,j)
#endif
else
q=min(dp(i-1,j,k,n),max(0.,depthu(i-1,j)
& - util3(i-1,j)))
& * (onetai(i-1,j) + pbsavu(i,j) /pbot(i-1,j))
utotm(i,j)=ubavg(i,j,m)*scuy(i,j) ! no stock drift for rivers
endif
uflux(i,j)=utotm(i,j)*q
c --- flux used for river
if (iuopn(i,j).eq.2) uflx(i,j,k)=uflux(i,j)
endif
endif
enddo
enddo
! write(6,*)'cnuity.F line 128'
c
c --- rhs: depthv+, util3, dp.n, vbavg.m
c --- lhs: vflux
c
margin = mbdy - 1
c
do i=1-margin,ii+margin
do l=1,jsv(i) !ok
j=jfv(i,l)-1
if (j.ge.1-margin) then
if (ivopn(i,j).ne.0) then
if (ivopn(i,j).eq.1.or.nstep.eq.1) then
q=min(dp(i,j ,k,n),max(0.0,depthv(i,j+1)
& - util3(i,j )))
& * onetacon(i,j,n)
#if defined(STOKES)
! write(6,*)'cnuity.F line 144,i,j+1,k= ',i,j+1,k
vtotm(i,j)=(v(i,j+1,k,m)+vbavg(i,j,m)+
& vsd(i,j+1,k))*scvx(i,j)
#else
vtotm(i,j)=(v(i,j+1,k,m)+vbavg(i,j,m))*scvx(i,j)
#endif
else
q=min(dp(i,j ,k,n),max(0.,depthv(i,j+1)
& - util3(i,j )))
& * (onetai(i,j) + pbsavv(i,j) /pbot(i,j))
vtotm(i,j)=vbavg(i,j,m)*scvx(i,j) ! no stock drift for rivers
endif
vflux(i,j)=vtotm(i,j)*q
c --- flux used for river
if (ivopn(i,j).eq.2) vflx(i,j,k)=vflux(i,j)
endif
endif
j=jlv(i,l)+1
if (j.le.jj+margin) then
if (ivopn(i,j).ne.0) then
if (ivopn(i,j).eq.1.or.nstep.eq.1) then
q=min(dp(i,j-1,k,n),max(0.0,depthv(i,j-1)
& - util3(i,j-1)))
& * onetacon(i,j-1,n)
#if defined(STOKES)
! write(6,*)'cnuity.F line 144,i,j-1,k= ',i,j-1,k
vtotm(i,j)=(v(i,j-1,k,m)+vbavg(i,j,m)+vsd(i,j-1,k)
& )*scvx(i,j)
#else
vtotm(i,j)=(v(i,j-1,k,m)+vbavg(i,j,m))*scvx(i,j)
#endif
else
q=min(dp(i,j-1,k,n),max(0.,depthv(i,j-1)
& - util3(i,j-1)))
& * (onetai(i,j-1) + pbsavv(i,j) /pbot(i,j-1))
vtotm(i,j)=vbavg(i,j,m)*scvx(i,j) ! no stock drift for rivers
endif
vflux(i,j)=vtotm(i,j)*q
c --- flux used for river
if (ivopn(i,j).eq.2) vflx(i,j,k)=vflux(i,j)
endif
endif
enddo
enddo
! write(6,*)'cnuity.F line 165'
c
c --- rhs: u.m, ubavg.m, depthu, dp.n+, util3+, dpu.m, uflux
c --- rhs: v.m, vbavg.m, depthv, dp.n+, util3+, dpv.m, vflux
c --- lhs: utotm,uflux,uflux2,uflx
c --- lhs: vtotm,vflux,vflux2,vflx
c
margin = mbdy - 1
c
!$OMP PARALLEL DO PRIVATE(j,i,q)
!$OMP& SCHEDULE(STATIC,jblk)
do j=1-margin,jj+margin
do i=1-margin,ii+margin
if (SEA_U) then
#if defined(STOKES)
! write(6,*)'cnuity.F line 181,i,j,k= ',i,j,k
utotm(i,j)=(u(i,j,k,m)+ubavg(i,j,m)+
& usd(i,j,k))*scuy(i,j)
#else
utotm(i,j)=(u(i,j,k,m)+ubavg(i,j,m))*scuy(i,j)
#endif
if (utotm(i,j).ge.0.) then
q=min(dp(i-1,j,k,n),max(0.,depthu(i,j)-util3(i-1,j)))
& * onetacon(i-1,j,n)
else
q=min(dp(i ,j,k,n),max(0.,depthu(i,j)-util3(i ,j)))
& * onetacon(i,j,n)
endif
uflux(i,j)=utotm(i,j)*q
uflux2(i,j)=utotm(i,j)*dpu(i,j,k,m)
& * 0.5*(onetacon(i, j,m)+
& onetacon(i-1,j,m) )
& -uflux(i,j)
uflx(i,j,k)=uflux(i,j)
endif !iu
enddo !i
c
! write(6,*)'cnuity.F line 197, j = ',j
do i=1-margin,ii+margin
if (SEA_V) then
#if defined(STOKES)
vtotm(i,j)=(v(i,j,k,m)+vbavg(i,j,m)+vsd(i,j,k)
& )*scvx(i,j)
#else
vtotm(i,j)=(v(i,j,k,m)+vbavg(i,j,m))*scvx(i,j)
#endif
if (vtotm(i,j).ge.0.) then
q=min(dp(i,j-1,k,n),max(0.,depthv(i,j)-util3(i,j-1)))
& * onetacon(i,j-1,n)
else
q=min(dp(i,j ,k,n),max(0.,depthv(i,j)-util3(i,j )))
& * onetacon(i,j,n)
endif
vflux(i,j)=vtotm(i,j)*q
vflux2(i,j)=vtotm(i,j)*dpv(i,j,k,m)
& * 0.5*(onetacon(i,j, m)+
& onetacon(i,j-1,m) )
& -vflux(i,j)
vflx(i,j,k)=vflux(i,j)
endif !iv
enddo !i
! write(6,*)'cnuity.F line 216, j = ',j
enddo !j
!$OMP END PARALLEL DO
! write(6,*)'cnuity.F line 216'
c
c --- advance -dp- field using low-order (diffusive) flux values
c --- rhs: dp.n, dp.m, util3, uflux+, vflux+
c --- lhs: dpo,util3,dp.n
c
margin = mbdy - 2
c
!$OMP PARALLEL DO PRIVATE(j,i,dpmin)
!$OMP& SCHEDULE(STATIC,jblk)
do j=1-margin,jj+margin
dpmin=999.
do i=1-margin,ii+margin
if (SEA_P) then
util3(i,j)=util3(i,j)+dp(i,j,k,n)
dp(i,j,k,n)=dp(i,j,k,n)*
& onetacon(i,j,n)-
& ((uflux(i+1,j)-uflux(i,j))+
& (vflux(i,j+1)-vflux(i,j)))*delt1*scp2i(i,j)
dpo(i,j,k,m)=dp(i,j,k,n) ! save for loop 19 test
dpmin=min(dpmin,dp(i,j,k,n))
endif !ip
enddo !i
dpmn(j)=dpmin ! minimizes false sharing
enddo !j, loop 19
!$OMP END PARALLEL DO
c
dpmin=999.
do j=1,jj
dpmin=min(dpmin,dpmn(j))
enddo
dpkmin(k)=dpmin
c
if (lpipe .and. lpipe_cnuity) then
c --- compare two model runs.
write (text,'(a9,i3)') 'dp.low k=',k
call pipe_compare_sym1(dp(1-nbdy,1-nbdy,k,n),ip,text)
endif
c
do j=1-margin,jj+margin
do l=1,isu(j) !ok
i=ifu(j,l)-1
if (i.ge.1-margin) then
if (iuopn(i,j).ne.0) then
uflux(i,j)=0.0
endif
endif
i=ilu(j,l)+1
if (i.le.ii+margin) then
if (iuopn(i,j).ne.0) then
uflux(i,j)=0.0
endif
endif
enddo
enddo
c
do i=1-margin,ii+margin
do l=1,jsv(i) !ok
j=jfv(i,l)-1
if (j.ge.1-margin) then
if (ivopn(i,j).ne.0) then
vflux(i,j)=0.0
endif
endif
j=jlv(i,l)+1
if (j.le.jj+margin) then
if (ivopn(i,j).ne.0) then
vflux(i,j)=0.0
endif
endif
enddo
enddo
c
if (lpipe .and. lpipe_cnuity) then
c --- compare two model runs.
do j=1-margin,jj+margin
do i=1-margin,ii+margin
masku(i,j)=iu(i,j)
if (i.gt. 1) masku(i,j)=masku(i,j)+iu(i-1,j)
if (i.lt.ii) masku(i,j)=masku(i,j)+iu(i+1,j)
maskv(i,j)=iv(i,j)
if (j.gt. 1) maskv(i,j)=maskv(i,j)+iv(i,j-1)
if (j.lt.jj) maskv(i,j)=maskv(i,j)+iv(i,j+1)
enddo
enddo
write (textu,'(a9,i3)') 'uflux k=',k
write (textv,'(a9,i3)') 'vflux k=',k
call pipe_compare_sym2(uflux,masku,textu,
& vflux,maskv,textv)
write (textu,'(a9,i3)') 'uflux2 k=',k
write (textv,'(a9,i3)') 'vflux2 k=',k
call pipe_compare_sym2(uflux2,masku,textu,
& vflux2,maskv,textv)
endif
c
cdiag if (mod(k,15).eq.1) then
cdiag do i=itest-1,itest+1
cdiag do j=jtest-1,jtest+1
cdiag write (lp,101) nstep,i+i0,j+j0,k,dpo(i-1,j,k,n),uflux(i,j),
cdiag. 'old dp''s, fluxes:',dpo(i,j-1,k,n),dpo(i,j,k,n),dpo(i,j+1,k,n)
cdiag. ,vflux(i,j),dp(i,j,k,n),vflux(i,j+1),dpo(i+1,j,k,n),uflux(i+1,j)
cdiag enddo
cdiag enddo
cdiag endif
101 format (i9,2i5,i3,1p,e15.2,e30.2/a17,6e10.2/e37.2,e30.2)
c
c --- at each grid point, determine the ratio of the largest permissible
c --- pos. (neg.) change in -dp- to the sum of all incoming (outgoing) fluxes
c
c --- rhs: dp.n+, uflux2+, vflux2+
c --- lhs: util1,util2
c
margin = mbdy - 2
c
!$OMP PARALLEL DO PRIVATE(j,i,ia,ib,ja,jb)
!$OMP& SCHEDULE(STATIC,jblk)
do j=1-margin,jj+margin
do i=1-margin,ii+margin
if (SEA_P) then
c --- assume margin<nblk
ia=ipim1(i,j) !i-1 if sea and i if land
ib=ipip1(i,j) !i+1 if sea and i if land
ja=ipjm1(i,j) !j-1 if sea and j if land
jb=ipjp1(i,j) !j+1 if sea and j if land
util1(i,j)=max(dp(i,j,k,n),dp(ia,j,k,n),dp(ib,j,k,n),
& dp(i,ja,k,n),dp(i,jb,k,n))
util2(i,j)=max(0.,
& min(dp(i,j,k,n),dp(ia,j,k,n),dp(ib,j,k,n),
& dp(i,ja,k,n),dp(i,jb,k,n)))
c
util1(i,j)=(util1(i,j)-dp(i,j,k,n))
& /(((max(0.,uflux2(i,j))-min(0.,uflux2(i+1,j)))
& +(max(0.,vflux2(i,j))-min(0.,vflux2(i,j+1)))+epsil)
& *delt1*scp2i(i,j))
c
util2(i,j)=(util2(i,j)-dp(i,j,k,n))
& /(((min(0.,uflux2(i,j))-max(0.,uflux2(i+1,j)))
& +(min(0.,vflux2(i,j))-max(0.,vflux2(i,j+1)))-epsil)
& *delt1*scp2i(i,j))
endif !ip
enddo !i
enddo !j
!$OMP END PARALLEL DO
c
c --- limit antidiffusive fluxes
c --- (keep track in -utotn,vtotn- of discrepancy between high-order
c --- fluxes and the sum of low-order and clipped antidiffusive fluxes.
c --- this will be used later to restore nondivergence of barotropic flow)
c
c --- rhs: uflux2+,util1+,util2+
c --- rhs: vflux2+,util1+,util2+
c --- lhs: utotn,uflux,uflx
c --- lhs: vtotn,vflux,vflx
c
margin = mbdy - 3
c
!$OMP PARALLEL DO PRIVATE(j,i,clip)
!$OMP& SCHEDULE(STATIC,jblk)
do j=1-margin,jj+margin
do i=1-margin,ii+margin
if (SEA_U) then
if (uflux2(i,j).ge.0.) then
clip=min(1.,util1(i,j),util2(i-1,j))
else
clip=min(1.,util2(i,j),util1(i-1,j))
endif
utotn(i,j)=utotn(i,j)+uflux2(i,j)*(1.-clip)
uflux(i,j)=uflux2(i,j)*clip
uflx(i,j,k)=uflx(i,j,k)+uflux(i,j)
endif !iu
enddo !i
c
do i=1-margin,ii+margin
if (SEA_V) then
if (vflux2(i,j).ge.0.) then
clip=min(1.,util1(i,j),util2(i,j-1))
else
clip=min(1.,util2(i,j),util1(i,j-1))
endif
vtotn(i,j)=vtotn(i,j)+vflux2(i,j)*(1.-clip)
vflux(i,j)=vflux2(i,j)*clip
vflx(i,j,k)=vflx(i,j,k)+vflux(i,j)
endif !iv
enddo !i
enddo !j
!$OMP END PARALLEL DO
c
c --- evaluate effect of antidiffusive fluxes on -dp- field
c
c --- rhs: dp.n, p, uflux+,vflux+
c --- lhs: dp.n, p
c
margin = mbdy - 4
c
!$OMP PARALLEL DO PRIVATE(j,i,dpmin)
!$OMP& SCHEDULE(STATIC,jblk)
do j=1-margin,jj+margin
dpmin=999.
do i=1-margin,ii+margin
if (SEA_P) then
dp(i,j,k,n)=dp(i,j,k,n)-
& ((uflux(i+1,j)-uflux(i,j))+
& (vflux(i,j+1)-vflux(i,j)))*delt1*scp2i(i,j)
p(i,j,k+1)=p(i,j,k)+dp(i,j,k,n)
dpmin=min(dpmin,dp(i,j,k,n))
endif !ip
enddo !i
dpmn(j)=dpmin ! minimizes false sharing
enddo !j, loop 15
!$OMP END PARALLEL DO
c
dpmin=999.
do j=1,jj
dpmin=min(dpmin,dpmn(j))
enddo
dpkmin(k+kk)=dpmin
c
if (lpipe .and. lpipe_cnuity) then
c --- compare two model runs.
write (text,'(a9,i3)') 'dp-dif k=',k
call pipe_compare_sym1(dp(1-nbdy,1-nbdy,k,n),ip,text)
endif
c
76 continue ! k=1,kk
c
c --- check for negative thicknesses.
c
100 format (i9,' i,j,k=',2i5,i3,' neg. dp (m) in loop ',i2,g15.2,a)
c
if (mod(nstep,3).eq.0) then !skip some time steps for efficiency
call xcminr(dpkmin(1:2*kk))
do k= 1,kk
dpmin=dpkmin(k)
if ((k.eq.1 .and. dpmin.le.0.0) .or. dpmin.lt.-onecm) then
iprint = 0
do j=1,jj
do i=1,ii
if (SEA_P) then
if (dpo(i,j,k,m).eq.dpmin .and. iprint.le.5) then
write (lp,100) nstep,i+i0,j+j0,k,19,
& dpmin*qonem,' max'
iprint = iprint + 1
endif
endif !ip
enddo !i
enddo !j
call xcsync(flush_lp)
if (dpmin.lt.dpfatal*onem) then
do j=1,jj
do i=1,ii
if (SEA_P) then
if (dpo(i,j,k,m).lt.dpfatal*onem .and.
& iprint.le.5) then
write (lp,100) nstep,i+i0,j+j0,k,19,
& dpo(i,j,k,m)*qonem,' fatal'
iprint = iprint + 1
endif
endif !ip
enddo !i
enddo !j
call xcsync(flush_lp)
endif !dpfatal
endif
enddo !k
do k= 1,kk
dpmin=dpkmin(k+kk)
if ((k.eq.1 .and. dpmin.le.0.0) .or. dpmin.lt.-onecm) then
iprint = 0
do j=1,jj
do i=1,ii
if (SEA_P) then
if (dp(i,j,k,n).eq.dpmin .and. iprint.le.5) then
write (lp,100) nstep,i+i0,j+j0,k,15,
& dpmin*qonem,' max'
iprint = iprint + 1
endif
endif !ip
enddo !i
enddo !j
call xcsync(flush_lp)
if (dpmin.lt.dpfatal*onem) then
do j=1,jj
do i=1,ii
if (SEA_P) then
if (dp(i,j,k,n).lt.dpfatal*onem .and.
& iprint.le.5) then
write (lp,100) nstep,i+i0,j+j0,k,15,
& dp(i,j,k,n)*qonem,' fatal'
iprint = iprint + 1
endif
endif !ip
enddo !i
enddo !j
call xcsync(flush_lp)
endif !dpfatal
endif
enddo !k
if (minval(dpkmin(1:2*kk)).lt.dpfatal*onem) then
if (mnproc.eq.1) then
write(lp,'(/ a,f9.2 /)')
& 'error: neg. dp (m) < ',dpfatal
* write(lp,*) 'dpkmin =',qonem*dpkmin(1:2*kk)
endif
call xcstop('cnuity')
stop 'cnuity'
endif !dpfatal
endif !every 3 time steps
if (.not.btrmas) then
c
c --- restore nondivergence of vertically integrated mass flow by
c --- recovering fluxes lost in the flux limiting process.
c --- treat these fluxes as an 'upstream' barotropic correction to
c --- the sum of diffusive and antidiffusive fluxes obtained so far.
c
do 77 k=1,kk
c
c --- rhs: utotn, dp.n+, p+
c --- rhs: vtotn, dp.n+, p+
c --- lhs: uflux, uflx
c --- lhs: vflux, vflx
c
margin = mbdy - 5
c
!$OMP PARALLEL DO PRIVATE(j,i,q)
!$OMP& SCHEDULE(STATIC,jblk)
do j=1-margin,jj+margin
do i=1-margin,ii+margin
if (SEA_U) then
if (utotn(i,j).ge.0.) then
* if (p(i-1,j,kk+1).eq.0.0) then
* write(lp,*) 'error: i,j,p.i-1 = ',
* & i,j,p(i-1,j,kk+1)
* call xcstop('(cnuity)')
* stop
* endif
q=dp(i-1,j,k,n)/p(i-1,j,kk+1)
else
* if (p(i, j,kk+1).eq.0.0) then
* write(lp,*) 'error: i,j,p.i = ',
* & i,j,p(i, j,kk+1)
* call xcstop('(cnuity)')
* stop
* endif
q=dp(i ,j,k,n)/p(i ,j,kk+1)
endif
uflux(i,j)=utotn(i,j)*q
uflx(i,j,k)=uflx(i,j,k)+uflux(i,j)
endif !iu
enddo !i
c
do i=1-margin,ii+margin
if (SEA_V) then
if (vtotn(i,j).ge.0.) then
* if (p(i,j-1,kk+1).eq.0.0) then
* write(lp,*) 'error: i,j,p.j-1 = ',
* & i,j,p(i,j-1,kk+1)
* call xcstop('(cnuity)')
* stop
* endif
q=dp(i,j-1,k,n)/p(i,j-1,kk+1)
else
* if (p(i,j, kk+1).eq.0.0) then
* write(lp,*) 'error: i,j,p.j = ',
* & i,j,p(i,j, kk+1)
* call xcstop('(cnuity)')
* stop
* endif
q=dp(i,j ,k,n)/p(i,j ,kk+1)
endif
vflux(i,j)=vtotn(i,j)*q
vflx(i,j,k)=vflx(i,j,k)+vflux(i,j)
endif !iv
enddo !i
enddo !j
!$OMP END PARALLEL DO
c
c --- rhs: dp.n, p, uflux+, vflux+
c --- lhs: dp.n, p
c
margin = mbdy - 6
c
!$OMP PARALLEL DO PRIVATE(j,i,dpmin)
!$OMP& SCHEDULE(STATIC,jblk)
do j=1-margin,jj+margin
dpmin=999.
do i=1-margin,ii+margin
if (SEA_P) then
dp( i,j,k,n)=dp(i,j,k,n)-
& ((uflux(i+1,j)-uflux(i,j))+
& (vflux(i,j+1)-vflux(i,j)))*delt1*scp2i(i,j)
p(i,j,k+1)=p(i,j,k)+dp(i,j,k,n)
dpmin=min(dpmin,dp(i,j,k,n))
endif !ip
enddo !i
dpmn(j)=dpmin ! minimizes false sharing
enddo !j, loop 14
c
dpmin=999.
do j=1,jj
dpmin=min(dpmin,dpmn(j))
enddo
dpkmin(k)=dpmin
c
if (lpipe .and. lpipe_cnuity) then
c --- compare two model runs.
write (text,'(a9,i3)') 'dp.res k=',k
call pipe_compare_sym1(dp(1-nbdy,1-nbdy,k,n),ip,text)
endif
c
77 continue ! k=1,kk
c
call pipe_comparall(m,n, 'cnui77, step')
endif !.not.btrmas
c
c --- check for negative thicknesses.
c
if (mod(nstep,3).eq.0) then !skip some time steps for efficiency
call xcminr(dpkmin(1:kk))
do k= 1,kk
dpmin=dpkmin(k)
if (dpmin.lt.-onecm) then
do j=1,jj
do i=1,ii
if (SEA_P) then
if (dp(i,j,k,n).eq.dpmin) then
write (lp,100) nstep,i+i0,j+j0,k,14,
& dpmin*qonem,' max'
endif
endif !ip
enddo !i
enddo !j
call xcsync(flush_lp)
endif
enddo !k
endif !every 3 time steps
if (.not.btrmas) then
c
c --- add bottom-pressure restoring term arising from split-explicit treatment
c --- of continuity equation (step 4 in appendix b to 1992 brhs paper)
c
c --- rhs: dp.n, p, pbot
c --- lhs: dp.n, p, dpmixl.n
c
margin = mbdy - 6
c
!$OMP PARALLEL DO PRIVATE(j,k,i,q)
!$OMP& SCHEDULE(STATIC,jblk)
do j=1-margin,jj+margin
do i=1-margin,ii+margin
if (SEA_P) then
q = pbot(i,j)/p(i,j,kk+1)
do k=1,kk
dp(i,j,k,n)=dp(i,j,k,n)*q
p(i,j,k+1)=p(i,j,k)+dp(i,j,k,n)
enddo !k
if (isopyc) then
dpmixl(i,j,n)=dp(i,j,1,n)
endif
endif !ip
enddo !i
enddo !j
!$OMP END PARALLEL DO
c
if (lpipe .and. lpipe_cnuity) then
c --- compare two model runs.
do k=1,kk
write (text,'(a9,i3)') 'dp.bot k=',k
call pipe_compare_sym1(dp(1-nbdy,1-nbdy,k,n),ip,text)
enddo
endif
endif !.not.btrmas
c
c --- ---------------------------------------------------------------------
c --- biharmonic thickness diffusion (literally, interface depth diffusion)
c --- ---------------------------------------------------------------------
c
if (thkdf4.eq.0.) go to 800 ! only one of thkdf2 and thkdf4 is non-zero
c
mbdy = 6
c
call xctilr(dpmixl( 1-nbdy,1-nbdy, n),1, 1, 6,6, halo_ps)
call xctilr(dp( 1-nbdy,1-nbdy,1,n),1,kk, 6,6, halo_ps)
call xctilr(p( 1-nbdy,1-nbdy,2 ),1,kk, 6,6, halo_ps)
c
dtinv=1./delt1
iflip=mod(nstep,2)
c
c --- rhs: p
c --- lhs: uflux, vflux, pold
c
margin = mbdy
c
!$OMP PARALLEL DO PRIVATE(j,i)
!$OMP& SCHEDULE(STATIC,jblk)
do j=1-margin,jj+margin
do i=1-margin,ii+margin
if (SEA_U) then
uflux(i,j)=0.
endif !iu
if (SEA_V) then
vflux(i,j)=0.
endif !iv
if (SEA_P) then
if (iflip.eq.1) then
pold(i,j)=p(i,j,kk+1)
else
pold(i,j)=0.
endif
endif !ip
enddo !i
enddo !j
!$OMP END PARALLEL DO
c
c --- alternate between upward and downward direction in k loop
c
do 13 k=2*(1-iflip)+kk*iflip,kk*(1-iflip)+2*iflip,1-2*iflip
c
c --- rhs: p+, dp.n+
c --- lhs: util1, util2
c
margin = mbdy - 1
c
!$OMP PARALLEL DO PRIVATE(j,i,ia,ib,ja,jb)
!$OMP& SCHEDULE(STATIC,jblk)
do j=1-margin,jj+margin
do i=1-margin,ii+margin
if (SEA_P) then
if (min(dp(i,j,k,n),dp(i,j,k-1,n)).lt.onecm) then
util1(i,j)=0.0
util2(i,j)=0.0
else
ia=ipim1x(i,j) !i-1 if sea; else i+1 if sea; otherwise i
ib=ipip1x(i,j) !i+1 if sea; else i-1 if sea; otherwise i
ja=ipjm1x(i,j) !j-1 if sea; else j+1 if sea; otherwise j
jb=ipjp1x(i,j) !j+1 if sea; else j-1 if sea; otherwise j
util1(i,j)=p(i,j,k)-.5*(p(ia,j,k)+p(ib,j,k))
util2(i,j)=p(i,j,k)-.5*(p(i,ja,k)+p(i,jb,k))
if (util1(i,j).gt.0.0) then
if (min(dp(ia,j,k, n),dp(ib,j,k, n)).lt.onecm) then
util1(i,j)=0.0
endif
else
if (min(dp(ia,j,k-1,n),dp(ib,j,k-1,n)).lt.onecm) then
util1(i,j)=0.0
endif
endif
if (util2(i,j).gt.0.0) then
if (min(dp(i,ja,k, n),dp(i,jb,k, n)).lt.onecm) then
util2(i,j)=0.0
endif
else
if (min(dp(i,ja,k-1,n),dp(i,jb,k-1,n)).lt.onecm) then
util2(i,j)=0.0
endif
endif
endif !min(dp):else
endif !ip
enddo !i
enddo !j
!$OMP END PARALLEL DO
c
c --- limit fluxes to avoid intertwining interfaces
c
c --- rhs: p+, pold+, uflux, util1+, uflx+
c --- rhs: p+, pold+, vflux, util2+, vflx+
c --- lhs: uflux, uflx+
c --- lhs: vflux, vflx+
c
margin = mbdy - 2
c
!$OMP PARALLEL DO PRIVATE(j,i,flxhi,flxlo,thkdfu,thkdfv)
!$OMP& SCHEDULE(STATIC,jblk)
do j=1-margin,jj+margin
c
do i=1-margin,ii+margin
if (SEA_U) then
flxhi= .25*(p(i ,j,kk+1)-p(i ,j,k))*scp2(i ,j)
flxlo=-.25*(p(i-1,j,kk+1)-p(i-1,j,k))*scp2(i-1,j)
c
if (iflip.eq.0) then ! downward k loop
flxhi=min(flxhi,
& uflux(i,j)+
& .25*(p(i-1,j,k)-pold(i-1,j))*scp2(i-1,j))
flxlo=max(flxlo,
& uflux(i,j)-
& .25*(p(i ,j,k)-pold(i ,j))*scp2(i ,j))
else ! upward k loop
flxhi=min(flxhi,
& uflux(i,j)+
& .25*(pold(i ,j)-p(i ,j,k))*scp2(i ,j))
flxlo=max(flxlo,
& uflux(i,j)-
& .25*(pold(i-1,j)-p(i-1,j,k))*scp2(i-1,j))
endif
c
c-------------thkdfu = delt1*thkdf4*(aspux(i,j)**3)*scuy(i,j)
!!Alex add if statement to do calculation only if thkdf4.ne.0.
if (thkdf4u(i,j).ne.0.) then
thkdfu = delt1*thkdf4u(i,j)
uflux(i,j)=min( flxhi,
& max( flxlo,
& thkdfu*
& (util1(i-1,j)-util1(i,j)) ) )
uflx(i,j,k-1)=uflx(i,j,k-1)+uflux(i,j)*dtinv
uflx(i,j,k )=uflx(i,j,k )-uflux(i,j)*dtinv
endif ! thkdf4u.ne.0. !!Alex
endif !iu
enddo !i
c
do i=1-margin,ii+margin
if (SEA_V) then
flxhi= .25*(p(i,j ,kk+1)-p(i,j ,k))*scp2(i,j )
flxlo=-.25*(p(i,j-1,kk+1)-p(i,j-1,k))*scp2(i,j-1)
c
if (iflip.eq.0) then ! downward k loop
flxhi=min(flxhi,
& vflux(i,j)+
& .25*(p(i,j-1,k)-pold(i,j-1))*scp2(i,j-1))
flxlo=max(flxlo,
& vflux(i,j)-
& .25*(p(i,j ,k)-pold(i,j ))*scp2(i,j ))
else ! upward k loop
flxhi=min(flxhi,
& vflux(i,j)+
& .25*(pold(i,j )-p(i,j ,k))*scp2(i,j ))
flxlo=max(flxlo,
& vflux(i,j)-
& .25*(pold(i,j-1)-p(i,j-1,k))*scp2(i,j-1))
endif
c
c-------------thkdfv = delt1*thkdf4*(aspvy(i,j)**3)*scvx(i,j)
!!Alex add if statement to do calculation only if thkdf4.ne.0.
if (thkdf4v(i,j).ne.0.) then
thkdfv = delt1*thkdf4v(i,j)
vflux(i,j)=min( flxhi,
& max( flxlo,
& thkdfv*
& (util2(i,j-1)-util2(i,j)) ) )
vflx(i,j,k-1)=vflx(i,j,k-1)+vflux(i,j)*dtinv
vflx(i,j,k )=vflx(i,j,k )-vflux(i,j)*dtinv
endif ! thkdf4v.ne.0. !!Alex
endif !iv
enddo !i
enddo !j
!$OMP END PARALLEL DO
c
c --- rhs: p, uflux+, vflux+
c --- lhs: pold, p
c
margin = mbdy - 2
c
!$OMP PARALLEL DO PRIVATE(j,i)
!$OMP& SCHEDULE(STATIC,jblk)
do j=1-margin,jj+margin
do i=1-margin,ii+margin
if (SEA_P) then
pold(i,j)=p(i,j,k)
p(i,j,k)=p(i,j,k)-((uflux(i+1,j)-uflux(i,j))+
& (vflux(i,j+1)-vflux(i,j)))*scp2i(i,j)
endif !ip
enddo !i
enddo !j
!$OMP END PARALLEL DO
c
cdiag if (itest.gt.0.and.jtest.gt.0)
cdiag.write (lp,'(i9,2i5,i3,'' intfc.depth diffusion -- p_old,p_new ='',