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hybgen.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 hybgen(m,n, hybgen_raflag)
use mod_xc ! HYCOM communication interface
use mod_cb_arrays ! HYCOM saved arrays
use mod_pipe ! HYCOM debugging interface
c
c --- hycom version 1.0
implicit none
c
logical hybgen_raflag
integer m,n
c
c --- ---------------------
c --- hybrid grid generator
c --- ---------------------
c
logical, parameter :: lpipe_hybgen=.false. !for debugging
c
integer i,j,k
character text*12
c
103 format (i9,2i5,a/(33x,i3,2f8.3,f8.3,f9.3,f9.2))
cdiag if (itest.gt.0 .and. jtest.gt.0) then
cdiag write (lp,103) nstep,itest+i0,jtest+j0,
cdiag. ' entering hybgen: temp saln dens thkns dpth',
cdiag. (k,temp(itest,jtest,k,n),saln(itest,jtest,k,n),
cdiag. th3d(itest,jtest,k,n)+thbase,dp(itest,jtest,k,n)*qonem,
cdiag. p(itest,jtest,k+1)*qonem,k=1,kk)
cdiag endif
c
call xctilr(dpmixl( 1-nbdy,1-nbdy, n),1, 1, 1,1, halo_ps)
c
!$OMP PARALLEL DO PRIVATE(j)
!$OMP& SHARED(m,n)
!$OMP& SCHEDULE(STATIC,jblk)
do j=1,jj
call hybgenaj(m,n, j)
enddo
!$OMP END PARALLEL DO
c
c --- vertical momentum flux across moving interfaces (the s-dot term in the
c --- momentum equation) - required to locally conserve momentum when hybgen
c --- moves vertical coordinates first, store old interface pressures in
c --- -pu-, -pv-
c
!$OMP PARALLEL DO PRIVATE(j,i,k)
!$OMP& SCHEDULE(STATIC,jblk)
do j=1,jj
do i=1,ii
if (SEA_U) then
pu(i,j,1)=0.0
pu(i,j,2)=dpu(i,j,1,n)
endif !iu
if (SEA_V) then
pv(i,j,1)=0.0
pv(i,j,2)=dpv(i,j,1,n)
endif !iv
enddo !i
do k=2,kk
do i=1,ii
if (SEA_U) then
pu(i,j,k+1)=pu(i,j,k)+dpu(i,j,k,n)
endif !iu
if (SEA_V) then
pv(i,j,k+1)=pv(i,j,k)+dpv(i,j,k,n)
endif !iv
enddo !i
enddo !k
enddo !j
!$OMP END PARALLEL DO
c
c --- update layer thickness at -u,v- points.
call dpudpv(dpu(1-nbdy,1-nbdy,1,n),
& dpv(1-nbdy,1-nbdy,1,n),
& p,depthu,depthv, 0,0)
c
if (lpipe .and. lpipe_hybgen) then
c --- compare two model runs.
c --- exit (if any) in next call to pipe_compare_all
c
call pipe_fatal_off
do k= 1,kk+1
write (text,'(a9,i3)') 'p k=',k
call pipe_compare(p( 1-nbdy,1-nbdy,k),ip,text)
write (text,'(a9,i3)') 'pu k=',k
call pipe_compare(pu(1-nbdy,1-nbdy,k),iu,text)
write (text,'(a9,i3)') 'pv k=',k
call pipe_compare(pv(1-nbdy,1-nbdy,k),iv,text)
enddo
do k= 1,kk
write (text,'(a9,i3)') 'dp k=',k
call pipe_compare(dp( 1-nbdy,1-nbdy,k,n),ip,text)
write (text,'(a9,i3)') 'dpu k=',k
call pipe_compare(dpu(1-nbdy,1-nbdy,k,n),iu,text)
write (text,'(a9,i3)') 'dpv k=',k
call pipe_compare(dpv(1-nbdy,1-nbdy,k,n),iv,text)
enddo
call pipe_fatal_on
endif
c
!$OMP PARALLEL DO PRIVATE(j)
!$OMP& SHARED(n)
!$OMP& SCHEDULE(STATIC,jblk)
do j=1,jj
call hybgenbj(n, j) !update velocity at time level t+1
enddo
!$OMP END PARALLEL DO
c
if (hybgen_raflag) then
c
c --- Apply Robert-Asselin update to layer thickness at time level t
c
!$OMP PARALLEL DO PRIVATE(j)
!$OMP& SHARED(m,n)
!$OMP& SCHEDULE(STATIC,jblk)
do j=1,jj
call hybgencj(m,n, j)
enddo
!$OMP END PARALLEL DO
c
!$OMP PARALLEL DO PRIVATE(j,i,k)
!$OMP& SCHEDULE(STATIC,jblk)
do j=1,jj
do i=1,ii
if (SEA_U) then
pu(i,j,1)=0.0
pu(i,j,2)=dpu(i,j,1,m)
endif !iu
if (SEA_V) then
pv(i,j,1)=0.0
pv(i,j,2)=dpv(i,j,1,m)
endif !iv
enddo !i
do k=2,kk
do i=1,ii
if (SEA_U) then
pu(i,j,k+1)=pu(i,j,k)+dpu(i,j,k,m)
endif !iu
if (SEA_V) then
pv(i,j,k+1)=pv(i,j,k)+dpv(i,j,k,m)
endif !iv
enddo !i
enddo !k
enddo !j
!$OMP END PARALLEL DO
c
call dpudpv(dpu(1-nbdy,1-nbdy,1,m),
& dpv(1-nbdy,1-nbdy,1,m),
& p,depthu,depthv, 0,0)
c
if (lpipe .and. lpipe_hybgen) then
c --- compare two model runs.
do k= 1,kk+1
write (text,'(a9,i3)') 'p k=',k
call pipe_compare(p( 1-nbdy,1-nbdy,k),ip,text)
write (text,'(a9,i3)') 'pu k=',k
call pipe_compare(pu(1-nbdy,1-nbdy,k),iu,text)
write (text,'(a9,i3)') 'pv k=',k
call pipe_compare(pv(1-nbdy,1-nbdy,k),iv,text)
enddo
do k= 1,kk
write (text,'(a9,i3)') 'dp k=',k
call pipe_compare(dp( 1-nbdy,1-nbdy,k,m),ip,text)
write (text,'(a9,i3)') 'dpu k=',k
call pipe_compare(dpu(1-nbdy,1-nbdy,k,m),iu,text)
write (text,'(a9,i3)') 'dpv k=',k
call pipe_compare(dpv(1-nbdy,1-nbdy,k,m),iv,text)
enddo
endif
c
!$OMP PARALLEL DO PRIVATE(j)
!$OMP& SHARED(m)
!$OMP& SCHEDULE(STATIC,jblk)
do j=1,jj
call hybgenbj(m, j) !update velocity at time level t
enddo
!$OMP END PARALLEL DO
endif !hybgen_raflag
c
return
end subroutine hybgen
subroutine hybgenaj(m,n,j )
use mod_xc ! HYCOM communication interface
use mod_cb_arrays ! HYCOM saved arrays
implicit none
c
integer m,n, j
c
c --- --------------------------------------------
c --- hybrid grid generator, single j-row (part A).
c --- --------------------------------------------
c
logical, parameter :: lunmix=.true. !unmix a too light deepest layer
logical, parameter :: lconserve=.false. !explicitly conserve each column
integer, parameter :: ndebug_tracer=0 !tracer to debug, usually 0 (off)
c
double precision asum( mxtrcr+4,3)
real offset(mxtrcr+4)
c
logical lcm(kdm) !use PCM for some layers?
real s1d(kdm,mxtrcr+4), !original scalar fields
& f1d(kdm,mxtrcr+4), !final scalar fields
& c1d(kdm,mxtrcr+4,3), !interpolation coefficients
& dpi( kdm), !original layer thicknesses, >= dpthin
& dprs(kdm), !original layer thicknesses
& pres(kdm+1), !original layer interfaces
& prsf(kdm+1), !final layer interfaces
& qhrlx( kdm+1), !relaxation coefficient, from qhybrlx
& dp0ij( kdm), !minimum layer thickness
& dp0cum(kdm+1) !minimum interface depth
real p_hat,p_hat0,p_hat2,p_hat3,hybrlx,
& delt,deltm,dels,delsm,q,qdep,qtr,qts,thkbop,
& zthk,dpthin
integer i,k,ka,kp,ktr,fixall,fixlay,nums1d
character*12 cinfo
c
double precision, parameter :: zp5=0.5 !for sign function
c
c --- c u s h i o n function (from Bleck & Benjamin, 1992):
c --- if delp >= qqmx*dp0 >> dp0, -cushn- returns -delp-
c --- if delp <= qqmn*dp0 << -dp0, -cushn- returns -dp0-
c
real qqmn,qqmx,cusha,cushb
parameter (qqmn=-4.0, qqmx=2.0) ! shifted range
* parameter (qqmn=-2.0, qqmx=4.0) ! traditional range
* parameter (qqmn=-4.0, qqmx=6.0) ! somewhat wider range
parameter (cusha=qqmn**2*(qqmx-1.0)/(qqmx-qqmn)**2)
parameter (cushb=1.0/qqmn)
c
real qq,cushn,delp,dp0
include 'stmt_fns.h'
qq( delp,dp0)=max(qqmn, min(qqmx, delp/dp0))
cushn(delp,dp0)=dp0*
& (1.0+cusha*(1.0-cushb*qq(delp,dp0))**2)*
& max(1.0, delp/(dp0*qqmx))
c
dpthin = 0.001*onemm
thkbop = thkbot*onem
hybrlx = 1.0/qhybrlx
c
if (mxlmy) then
nums1d = ntracr + 4
else
nums1d = ntracr + 2
endif
c
if (.not.isopcm) then
c --- lcm the same for all points
do k=1,nhybrd
lcm(k) = .false. !use same remapper for all layers
enddo !k
do k=nhybrd+1,kk
lcm(k) = .true. !purely isopycnal layers use PCM
enddo !k
endif
c
do i=1,ii
if (SEA_P) then
c
c --- terrain following starts at depth dpns and ends at depth dsns
qdep = max( 0.0, min( 1.0,
& (depths(i,j) - dsns)/
& (dpns - dsns) ) )
c
if (qdep.lt.1.0) then
c --- terrain following, qhrlx=1 and ignore dp00
p(i,j, 1)=0.0
dp0cum(1)=0.0
qhrlx( 1)=1.0
dp0ij( 1)=qdep*dp0k(1) + (1.0-qdep)*ds0k(1)
cdiag if (i.eq.itest .and. j.eq.jtest) then
cdiag k=1
cdiag write (lp,*) 'qdep = ',qdep
cdiag write (lp,'(a/i6,1x,4f9.3/a)')
cdiag. ' k dp0ij ds0k dp0k p',
cdiag. k,dp0ij(k)*qonem,ds0k(1)*qonem,dp0k(1)*qonem,
cdiag. p(i,j,k)*qonem,
cdiag. ' k dp0ij p-cum p dp0cum'
cdiag endif !debug
dp0cum(2)=dp0cum(1)+dp0ij(1)
qhrlx( 2)=1.0
p(i,j, 2)=p(i,j,1)+dp(i,j,1,n)
do k=2,kk
qhrlx( k+1)=1.0
dp0ij( k) =qdep*dp0k(k) + (1.0-qdep)*ds0k(k)
dp0cum(k+1)=dp0cum(k)+dp0ij(k)
p(i,j, k+1)=p(i,j,k)+dp(i,j,k,n)
cdiag if (i.eq.itest .and. j.eq.jtest) then
cdiag write (lp,'(i6,1x,4f9.3)')
cdiag. k,dp0ij(k)*qonem,p(i,j,k)*qonem-dp0cum(k)*qonem,
cdiag. p(i,j,k)*qonem,dp0cum(k)*qonem
cdiag endif !debug
enddo !k
else
c --- not terrain following
p(i,j, 1)=0.0
dp0cum(1)=0.0
qhrlx( 1)=1.0 !no relaxation in top layer
dp0ij( 1)=dp0k(1)
cdiag if (i.eq.itest .and. j.eq.jtest) then
cdiag k=1
cdiag write (lp,*) 'qdep = ',qdep
cdiag write (lp,'(a/i6,1x,3f8.3,f9.3)')
cdiag. ' k dp0ij ds0k dp0k p dp0cum',
cdiag. k,dp0ij(k)*qonem,ds0k(1)*qonem,dp0k(1)*qonem,
cdiag. p(i,j,k)*qonem
cdiag write (lp,'(a/i6,1x,f9.3/a)')
cdiag. ' k dp0ij',
cdiag. k,dp0ij(k)*qonem,
cdiag. ' k dp0ij q p-cum p dp0cum'
cdiag endif !debug
dp0cum(2)=dp0cum(1)+dp0ij(1)
qhrlx( 2)=1.0 !no relaxation in top layer
p(i,j, 2)=p(i,j,1)+dp(i,j,1,n)
do k=2,kk
c --- q is dp0k(k) when in surface fixed coordinates
c --- q is dp00i when much deeper than surface fixed coordinates
if (dp0k(k).le.dp00i) then
q = dp0k(k)
qts= 0.0 !0 at dp0k
else
q = max( dp00i,
& dp0k(k) * dp0k(k)/
& max( dp0k( k),
& p(i,j,k)-dp0cum(k) ) )
qts= 1.0 - (q-dp00i)/(dp0k(k)-dp00i) !0 at dp0k, 1 at dp00i
endif
qhrlx( k+1)=1.0/(1.0 + qts*(hybrlx-1.0)) !1 at dp0k, qhybrlx at dp00i
dp0ij( k) =min( q, dp0k(k) )
dp0cum(k+1)=dp0cum(k)+dp0ij(k)
p(i,j, k+1)=p(i,j,k)+dp(i,j,k,n)
cdiag if (i.eq.itest .and. j.eq.jtest) then
cdiag write (lp,'(i6,1x,5f9.3)')
cdiag. k,dp0ij(k)*qonem,q*qonem,p(i,j,k)*qonem-dp0cum(k)*qonem,
cdiag. p(i,j,k)*qonem,dp0cum(k)*qonem
cdiag endif !debug
enddo !k
endif !qdep<1:else
c
c --- identify the current fixed coordinate layers
fixlay = 1 !layer 1 always fixed
do k= 2,nhybrd
if (dp0cum(k).ge.topiso(i,j)) then
exit !layers k to nhybrd might be isopycnal
endif
c --- top of layer is above topiso, i.e. always fixed coordinate layer
qhrlx(k+1) = 1.0 !no relaxation in fixed layers
fixlay = fixlay+1
enddo !k
cdiag if (i.eq.itest .and. j.eq.jtest) then
cdiag write(lp,'(a,i3)')
cdiag & 'hybgen, always-fixed coordinate layers: 1 to ',
cdiag & fixlay
cdiag call flush(lp)
cdiag endif !debug
c
fixall = fixlay
do k= fixall+1,nhybrd
cdiag if (i.eq.itest .and. j.eq.jtest) then
cdiag write (lp,'(i6,1x,2f9.3)')
cdiag . k,p(i,j,k+1)*qonem,dp0cum(k+1)*qonem
cdiag call flush(lp)
cdiag endif !debug
if (p(i,j,k+1).gt.dp0cum(k+1)+0.1*dp0ij(k)) then
if (fixlay.gt.fixall) then
c --- should the previous layer remain fixed?
if (p(i,j,k).gt.dp0cum(k)) then
fixlay = fixlay-1
endif
endif
exit !layers k to nhybrd might be isopycnal
endif
c --- sometimes fixed coordinate layer
qhrlx(k) = 1.0 !no relaxation in fixed layers
fixlay = fixlay+1
enddo !k
cdiag if (i.eq.itest .and. j.eq.jtest) then
cdiag write(lp,'(a,i3)')
cdiag & 'hybgen, fixed coordinate layers: 1 to ',
cdiag & fixlay
cdiag call flush(lp)
cdiag endif !debug
c
cdiag if (i.eq.itest .and. j.eq.jtest) then
cdiag write (lp,'(a/(i6,1x,2f8.3,2f9.3,f9.3))')
cdiag . 'hybgen: thkns minthk dpth mindpth hybrlx',
cdiag . (k,dp(i,j,k,n)*qonem, dp0ij(k)*qonem,
cdiag . p(i,j,k+1)*qonem,dp0cum(k+1)*qonem,
cdiag . 1.0/qhrlx(k+1),
cdiag . k=1,kk)
cdiag endif !debug
c
c --- identify the deepest layer kp with significant thickness (> dpthin)
c
kp = 2 !minimum allowed value
do k=kk,3,-1
if (p(i,j,k+1)-p(i,j,k).ge.dpthin) then
kp=k
exit
endif
enddo !k
c
cdiag if (i.eq.itest .and. j.eq.jtest) then
cdiag write(lp,'(a,i3)')
cdiag & 'hybgen, deepest inflated layer:',kp
cdiag call flush(lp)
cdiag endif !debug
c
k = kp !at least 2
ka = max(k-2,1) !k might be 2
c
if (k.gt.fixlay+1 .and. qdep.eq.1.0 .and. !layer not fixed depth
& p(i,j,k)-p(i,j,k-1).ge.dpthin .and. !layer above not too thin
& theta(i,j,k)-epsil.gt.th3d(i,j,k,n) .and.
& th3d(i,j,k-1,n) .gt.th3d(i,j,k,n) .and.
& th3d(i,j,ka, n) .gt.th3d(i,j,k,n) ) then
c
c --- water in the deepest inflated layer with significant thickness
c --- (kp) is too light, and it is lighter than the two layers above.
c ---
c --- this should only occur when relaxing or nudging layer thickness
c --- and is a bug (bad interaction with tsadvc) even in those cases
c ---
c --- entrain the entire layer into the one above
c--- note the double negative in T=T-q*(T-T'), equiv. to T=T+q*(T'-T)
q = (p(i,j,k+1)-p(i,j,k))/(p(i,j,k+1)-p(i,j,k-1))
if (hybflg.eq.0) then !T&S
temp(i,j,k-1,n)=temp(i,j,k-1,n)-q*(temp(i,j,k-1,n) -
& temp(i,j,k, n) )
saln(i,j,k-1,n)=saln(i,j,k-1,n)-q*(saln(i,j,k-1,n) -
& saln(i,j,k, n) )
th3d(i,j,k-1,n)=sig(temp(i,j,k-1,n),saln(i,j,k-1,n))-thbase
elseif (hybflg.eq.1) then !th&S
th3d(i,j,k-1,n)=th3d(i,j,k-1,n)-q*(th3d(i,j,k-1,n) -
& th3d(i,j,k, n) )
saln(i,j,k-1,n)=saln(i,j,k-1,n)-q*(saln(i,j,k-1,n) -
& saln(i,j,k, n) )
temp(i,j,k-1,n)=tofsig(th3d(i,j,k-1,n)+thbase,saln(i,j,k-1,n))
elseif (hybflg.eq.2) then !th&T
th3d(i,j,k-1,n)=th3d(i,j,k-1,n)-q*(th3d(i,j,k-1,n) -
& th3d(i,j,k, n) )
temp(i,j,k-1,n)=temp(i,j,k-1,n)-q*(temp(i,j,k-1,n) -
& temp(i,j,k, n) )
saln(i,j,k-1,n)=sofsig(th3d(i,j,k-1,n)+thbase,temp(i,j,k-1,n))
endif
if (ndebug_tracer.gt.0 .and. ndebug_tracer.le.ntracr .and.
& i.eq.itest .and. j.eq.jtest) then
ktr = ndebug_tracer
write(lp,'(a,i3,f6.3,f9.4)')
& 'hybgen, 11(+):',
& k-1,0.0,tracer(i,j,k-1,n,ktr)
call flush(lp)
endif !debug_tracer
do ktr= 1,ntracr
tracer(i,j,k-1,n,ktr)=tracer(i,j,k-1,n,ktr)-
& q*(tracer(i,j,k-1,n,ktr) -
& tracer(i,j,k, n,ktr) )
enddo !ktr
if (ndebug_tracer.gt.0 .and. ndebug_tracer.le.ntracr .and.
& i.eq.itest .and. j.eq.jtest) then
ktr = ndebug_tracer
write(lp,'(a,i3,f6.3,f9.4)')
& 'hybgen, 11(+):',
& k-1,q,tracer(i,j,k-1,n,ktr)
write(lp,'(a,i3,f6.3,f9.4)')
& 'hybgen, 11(+):',
& k,q,tracer(i,j,k,n,ktr)
write(lp,'(a,i3)')
& 'hybgen, deepest inflated layer:',kp
call flush(lp)
endif !debug_tracer
if (mxlmy) then
q2( i,j,k-1,n)=q2( i,j,k-1,n)-
& q*(q2( i,j,k-1,n)-q2( i,j,k,n))
q2l(i,j,k-1,n)=q2l(i,j,k-1,n)-
& q*(q2l(i,j,k-1,n)-q2l(i,j,k,n))
endif
c --- entrained the entire layer into the one above, so now kp=kp-1
p(i,j,k) = p(i,j,k+1)
kp = k-1
cdiag if (i.eq.itest .and. j.eq.jtest) then
cdiag write(lp,'(a,i3,f6.3,5f8.3)')
cdiag & 'hybgen, 11(+):',
cdiag & k-1,q,temp(i,j,k-1,n),saln(i,j,k-1,n),
cdiag & th3d(i,j,k-1,n)+thbase,theta(i,j,k-1)+thbase
cdiag write(lp,'(a,i3)')
cdiag & 'hybgen, deepest inflated layer:',kp
cdiag call flush(lp)
cdiag endif !debug
endif
c
k = kp !at least 2
ka = max(k-2,1) !k might be 2
c
if (lunmix .and. !usually .true.
& k.gt.fixlay+1 .and. qdep.eq.1.0 .and. !layer not fixed depth
& p(i,j,k)-p(i,j,k-1).ge.dpthin .and. !layer above not too thin
& theta(i,j,k)-epsil.gt.th3d(i,j,k, n) .and.
& theta(i,j,k-1) .lt.th3d(i,j,k, n) .and.
& abs(theta(i,j,k-1)- th3d(i,j,k-1,n)).lt.hybiso .and.
& ( th3d(i,j,k,n)- th3d(i,j,k-1,n)).gt.
& (theta(i,j,k) - theta(i,j,k-1) )*0.001 ) then
c
c --- water in the deepest inflated layer with significant thickness
c --- (kp) is too light, with the layer above near-isopycnal
c ---
c --- split layer into 2 sublayers, one near the desired density
c --- and one exactly matching the T&S properties of layer k-1.
c --- To prevent "runaway" T or S, the result satisfies either
c --- abs(T.k - T.k-1) <= abs(T.k-N - T.k-1) or
c --- abs(S.k - S.k-1) <= abs(S.k-N - S.k-1) where
c --- th3d.k-1 - th3d.k-N is at least theta(k-1) - theta(k-2)
c --- It is also limited to a 50% change in layer thickness.
c
cdiag if (i.eq.itest .and. j.eq.jtest) then
cdiag write(lp,'(a,i3)')
cdiag & 'hybgen, deepest inflated layer too light (stable):',k
cdiag call flush(lp)
cdiag endif !debug
c
ka = 1
do ktr= k-2,2,-1
if ( th3d(i,j,k-1,n)- th3d(i,j,ktr,n).ge.
& theta(i,j,k-1) -theta(i,j,k-2) ) then
ka = ktr !usually k-2
exit
endif
enddo !ktr
c
delsm=abs(saln(i,j,ka, n)-saln(i,j,k-1,n))
dels =abs(saln(i,j,k-1,n)-saln(i,j,k, n))
deltm=abs(temp(i,j,ka, n)-temp(i,j,k-1,n))
delt =abs(temp(i,j,k-1,n)-temp(i,j,k, n))
c --- sanity check on deltm and delsm
q=min(temp(i,j,ka, n),temp(i,j,k-1,n),temp(i,j,k,n))
if (q.gt. 6.0) then
deltm=min( deltm, 6.0*(theta(i,j,k)-theta(i,j,k-1)) )
else !(q.le. 6.0)
deltm=min( deltm, 10.0*(theta(i,j,k)-theta(i,j,k-1)) )
endif
delsm=min( delsm, 1.3*(theta(i,j,k)-theta(i,j,k-1)) )
qts=0.0
if (delt.gt.epsil) then
qts=max(qts, (min(deltm, 2.0*delt)-delt)/delt) ! qts<=1.0
endif
if (dels.gt.epsil) then
qts=max(qts, (min(delsm, 2.0*dels)-dels)/dels) ! qts<=1.0
endif
q=(theta(i,j,k)-th3d(i,j,k, n))/
& (theta(i,j,k)-th3d(i,j,k-1,n))
q=min(q,qts/(1.0+qts)) ! upper sublayer <= 50% of total
q=qhrlx(k)*q
c --- qhrlx is relaxation coefficient (inverse baroclinic time steps)
p_hat=q*(p(i,j,k+1)-p(i,j,k))
p(i,j,k)=p(i,j,k)+p_hat
if (hybflg.eq.0) then !T&S
temp(i,j,k,n)=temp(i,j,k,n)+(q/(1.0-q))*(temp(i,j,k,n) -
& temp(i,j,k-1,n) )
saln(i,j,k,n)=saln(i,j,k,n)+(q/(1.0-q))*(saln(i,j,k,n) -
& saln(i,j,k-1,n) )
th3d(i,j,k,n)=sig(temp(i,j,k,n),saln(i,j,k,n))-thbase
elseif (hybflg.eq.1) then !th&S
th3d(i,j,k,n)=th3d(i,j,k,n)+(q/(1.0-q))*(th3d(i,j,k,n) -
& th3d(i,j,k-1,n) )
saln(i,j,k,n)=saln(i,j,k,n)+(q/(1.0-q))*(saln(i,j,k,n) -
& saln(i,j,k-1,n) )
temp(i,j,k,n)=tofsig(th3d(i,j,k,n)+thbase,saln(i,j,k,n))
elseif (hybflg.eq.2) then !th&T
th3d(i,j,k,n)=th3d(i,j,k,n)+(q/(1.0-q))*(th3d(i,j,k,n) -
& th3d(i,j,k-1,n) )
temp(i,j,k,n)=temp(i,j,k,n)+(q/(1.0-q))*(temp(i,j,k,n) -
& temp(i,j,k-1,n) )
saln(i,j,k,n)=sofsig(th3d(i,j,k,n)+thbase,temp(i,j,k,n))
endif
if (ntracr.gt.0 .and. p_hat.ne.0.0) then
if (ndebug_tracer.gt.0 .and. ndebug_tracer.le.ntracr .and.
& i.eq.itest .and. j.eq.jtest) then
ktr = ndebug_tracer
write(lp,'(a,i3,f6.3,f9.4)')
& 'hybgen, 10(+):',
& k-1,0.0,tracer(i,j,k-1,n,ktr)
call flush(lp)
endif !debug_tracer
c --- fraction of new upper layer from old lower layer
qtr=p_hat/max(p_hat,p(i,j,k)-p(i,j,k-1)) !between 0 and 1
do ktr= 1,ntracr
if (trcflg(ktr).eq.2) then !temperature tracer
tracer(i,j,k,n,ktr)=tracer(i,j,k,n,ktr)+
& (q/(1.0-q))*(tracer(i,j,k, n,ktr)-
& tracer(i,j,k-1,n,ktr))
else !standard tracer - not split into two sub-layers
tracer(i,j,k-1,n,ktr)=tracer(i,j,k-1,n,ktr)+
& qtr*(tracer(i,j,k, n,ktr)-
& tracer(i,j,k-1,n,ktr))
cdiag if (i.eq.itest .and. j.eq.jtest) then
cdiag write(lp,'(a,i4,i3,5e12.3)')
cdiag & 'hybgen, 10(+):',
cdiag & k,ktr,p_hat,p(i,j,k),p(i,j,k-1),
cdiag & qtr,tracer(i,j,k-1,n,ktr)
cdiag call flush(lp)
cdiag endif !debug
endif !trcflg
enddo !ktr
if (ndebug_tracer.gt.0 .and. ndebug_tracer.le.ntracr .and.
& i.eq.itest .and. j.eq.jtest) then
ktr = ndebug_tracer
write(lp,'(a,i3,f6.3,f9.4)')
& 'hybgen, 10(+):',
& k-1,qtr,tracer(i,j,k-1,n,ktr)
write(lp,'(a,i3,f6.3,f9.4)')
& 'hybgen, 10(+):',
& k,qtr,tracer(i,j,k,n,ktr)
write(lp,'(a,i3)')
& 'hybgen, deepest inflated layer:',kp
call flush(lp)
endif !debug_tracer
endif !tracers
if (mxlmy .and. p_hat.ne.0.0) then
c --- fraction of new upper layer from old lower layer
qtr=p_hat/max(p_hat,p(i,j,k)-p(i,j,k-1)) !between 0 and 1
q2( i,j,k-1,n)=q2( i,j,k-1,n)+
& qtr*(q2( i,j,k,n)-q2( i,j,k-1,n))
q2l(i,j,k-1,n)=q2l(i,j,k-1,n)+
& qtr*(q2l(i,j,k,n)-q2l(i,j,k-1,n))
cdiag if (i.eq.itest .and. j.eq.jtest) then
cdiag write(lp,'(a,i4,i3,6e12.3)')
cdiag & 'hybgen, 10(+):',
cdiag & k,0,p_hat,p(i,j,k)-p(i,j,k-1),p(i,j,k+1)-p(i,j,k),
cdiag & qtr,q2(i,j,k-1,n),q2l(i,j,k-1,n)
cdiag call flush(lp)
cdiag endif !debug
endif
cdiag if (i.eq.itest .and. j.eq.jtest) then
cdiag write(lp,'(a,i3,f6.3,5f8.3)')
cdiag & 'hybgen, 10(+):',
cdiag & k,q,temp(i,j,k,n),saln(i,j,k,n),
cdiag & th3d(i,j,k,n)+thbase,theta(i,j,k)+thbase
cdiag call flush(lp)
cdiag endif !debug
cdiag if (i.eq.itest .and. j.eq.jtest) then
cdiag write(lp,'(a,i3,f6.3,5f8.3)')
cdiag & 'hybgen, 10(-):',
cdiag & k,0.0,temp(i,j,k,n),saln(i,j,k,n),
cdiag & th3d(i,j,k,n)+thbase,theta(i,j,k)+thbase
cdiag call flush(lp)
cdiag endif !debug
endif !too light
c
c --- massless or near-massless (thickness < dpthin) layers
c
do k=kp+1,kk
if (k.le.nhybrd) then
c --- fill thin and massless layers on sea floor with fluid from above
th3d(i,j,k,n)=th3d(i,j,k-1,n)
saln(i,j,k,n)=saln(i,j,k-1,n)
temp(i,j,k,n)=temp(i,j,k-1,n)
elseif (th3d(i,j,k,n).ne.theta(i,j,k)) then
if (hybflg.ne.2) then
c --- fill with saln from above
th3d(i,j,k,n)=max(theta(i,j,k), th3d(i,j,k-1,n))
saln(i,j,k,n)=saln(i,j,k-1,n)
temp(i,j,k,n)=tofsig(th3d(i,j,k,n)+thbase,saln(i,j,k,n))
saln(i,j,k,n)=sofsig(th3d(i,j,k,n)+thbase,temp(i,j,k,n))
else
c --- fill with temp from above
th3d(i,j,k,n)=max(theta(i,j,k), th3d(i,j,k-1,n))
temp(i,j,k,n)=temp(i,j,k-1,n)
saln(i,j,k,n)=sofsig(th3d(i,j,k,n)+thbase,temp(i,j,k,n))
endif
endif
do ktr= 1,ntracr
tracer(i,j,k,n,ktr)=tracer(i,j,k-1,n,ktr)
enddo !ktr
if (ndebug_tracer.gt.0 .and. ndebug_tracer.le.ntracr .and.
& i.eq.itest .and. j.eq.jtest) then
ktr = ndebug_tracer
write(lp,'(a,i3,f9.4)')
& 'hybgen, massless:',
& k,tracer(i,j,k,n,ktr)
call flush(lp)
endif !debug_tracer
if (mxlmy) then
q2 (i,j,k,n)=q2( i,j,k-1,n)
q2l(i,j,k,n)=q2l(i,j,k-1,n)
endif
enddo !k
c
c --- store one-dimensional arrays of -temp-, -saln-, and -p- for the 'old'
c --- vertical grid before attempting to restore isopycnic conditions
pres(1)=p(i,j,1)
do k=1,kk
if (hybflg.eq.0) then !T&S
s1d(k,1) = temp(i,j,k,n)
s1d(k,2) = saln(i,j,k,n)
elseif (hybflg.eq.1) then !th&S
s1d(k,1) = th3d(i,j,k,n)
s1d(k,2) = saln(i,j,k,n)
elseif (hybflg.eq.2) then !th&T
s1d(k,1) = th3d(i,j,k,n)
s1d(k,2) = temp(i,j,k,n)
endif
do ktr= 1,ntracr
s1d(k,2+ktr) = tracer(i,j,k,n,ktr)
enddo !ktr
if (mxlmy) then
s1d(k,ntracr+3) = q2( i,j,k,n)
s1d(k,ntracr+4) = q2l(i,j,k,n)
endif
pres(k+1)=p(i,j,k+1)
dprs(k) =pres(k+1)-pres(k)
dpi( k) =max(dprs(k),dpthin)
c
if (isopcm) then
if (k.le.fixlay) then
lcm(k) = .false. !fixed layers are never PCM
else
c --- thin and isopycnal layers remapped with PCM.
lcm(k) = k.gt.nhybrd
& .or. dprs(k).le.dpthin
& .or. abs(th3d(i,j,k,n)-theta(i,j,k)).lt.hybiso
endif !k<=fixlay:else
endif !isopcm
enddo !k
c
c --- try to restore isopycnic conditions by moving layer interfaces
c --- qhrlx(k) are relaxation coefficients (inverse baroclinic time steps)
c
if (fixlay.ge.1) then
c
c --- maintain constant thickness, layer k = 1
k=1
p_hat=p(i,j,k)+dp0ij(k)
p(i,j,k+1)=p_hat
do k=2,kk
if (p(i,j,k+1).ge.p_hat) then
exit ! usually get here quickly
endif
p(i,j,k+1)=p_hat
enddo !k
endif
c
do k=2,nhybrd
c
cdiag if (i.eq.itest .and. j.eq.jtest) then
cdiag write(cinfo,'(a9,i2.2,1x)') ' do 88 k=',k
cdiag 109 format (i9,2i5,a,a/(i9,8x,a,a,i3,f9.2,f8.2,f9.2,f8.2))
cdiag write(lp,109) nstep,itest+i0,jtest+j0,
cdiag. cinfo,': othkns odpth nthkns ndpth',
cdiag. (nstep,cinfo,':',ka,
cdiag. (pres(ka+1)-
cdiag. pres(ka) )*qonem,
cdiag. pres(ka+1) *qonem,
cdiag. (p(itest,jtest,ka+1)-
cdiag. p(itest,jtest,ka) )*qonem,
cdiag. p(itest,jtest,ka+1) *qonem,ka=1,kk)
cdiag call flush(lp)
cdiag endif !debug
c
if (k.le.fixlay) then
c
c --- maintain constant thickness, k <= fixlay
if (k.lt.kk) then !p.kk+1 not changed
p(i,j,k+1)=min(dp0cum(k+1),p(i,j,kk+1))
if (k.eq.fixlay) then
c --- enforce interface order (may not be necessary).
do ka= k+2,kk
if (p(i,j,ka).ge.p(i,j,k+1)) then
exit ! usually get here quickly
else
p(i,j,ka) = p(i,j,k+1)
endif
enddo !ka
endif !k.eq.fixlay
endif !k.lt.kk
c
cdiag if (i.eq.itest .and. j.eq.jtest) then
cdiag write(lp,'(a,i3.2,f8.2)') 'hybgen, fixlay :',
cdiag& k+1,p(i,j,k+1)*qonem
cdiag call flush(lp)
cdiag endif !debug
else
c
c --- do not maintain constant thickness, k > fixlay
c
if (th3d(i,j,k,n).gt.theta(i,j,k)+epsil .and.
& k.gt.fixlay+1) then
c
c --- water in layer k is too dense
c --- try to dilute with water from layer k-1
c --- do not move interface if k = fixlay + 1
c
if (th3d(i,j,k-1,n).ge.theta(i,j,k-1) .or.
& p(i,j,k).le.dp0cum(k)+onem .or.
& p(i,j,k+1)-p(i,j,k).le.p(i,j,k)-p(i,j,k-1)) then
c
c --- if layer k-1 is too light, thicken the thinner of the two,
c --- i.e. skip this layer if it is thicker.
c
cdiag if (i.eq.itest .and. j.eq.jtest) then
cdiag write(lp,'(a,3x,i2.2,1pe13.5)')
cdiag& 'hybgen, too dense:',k,th3d(i,j,k,n)-theta(i,j,k)
cdiag call flush(lp)
cdiag endif !debug
c
if ((theta(i,j,k)-th3d(i,j,k-1,n)).le.epsil) then
c layer k-1 too dense, take entire layer
p_hat=p(i,j,k-1)+dp0ij(k-1)
else
q=(theta(i,j,k)-th3d(i,j,k, n))/
& (theta(i,j,k)-th3d(i,j,k-1,n)) ! -1 <= q < 0
p_hat0=p(i,j,k)+q*(p(i,j,k+1)-p(i,j,k)) ! <p(i,j,k)
c maintain minimum thickess of layer k-1.
p_hat =p(i,j,k-1)+cushn(p_hat0-p(i,j,k-1),dp0ij(k-1))
end if
p_hat=min(p_hat,p(i,j,kk+1))
c
c --- if isopycnic conditions cannot be achieved because of a blocking
c --- layer in the interior ocean, move interface k-1 (and k-2 if
c --- necessary) upward
c
if (k.le.fixlay+2) then
c --- do nothing.
else if (p_hat.ge.p(i,j,k) .and.
& p(i,j,k-1).gt.dp0cum(k-1)+tenm .and.
& (p(i,j,kk+1)-p(i,j,k-1).lt.thkbop .or.
& p(i,j,k-1) -p(i,j,k-2).gt.qqmx*dp0ij(k-2))) then ! k.gt.2
p_hat2=p(i,j,k-2)+
& cushn(p(i,j,k-1)-p_hat+p_hat0-p(i,j,k-2),
& dp0ij(k-2))
if (p_hat2.lt.p(i,j,k-1)-onemm) then
p(i,j,k-1)=(1.0-qhrlx(k-1))*p(i,j,k-1) +
& qhrlx(k-1) *max(p_hat2,
& 2.0*p(i,j,k-1)-p_hat)
cdiag if (i.eq.itest .and. j.eq.jtest) then
cdiag write(lp,'(a,i3.2,f8.2)') 'hybgen, 1blocking :',
cdiag& k-1,p(i,j,k-1)*qonem
cdiag call flush(lp)
cdiag endif !debug
p_hat=p(i,j,k-1)+cushn(p_hat0-p(i,j,k-1),dp0ij(k-1))
elseif (k.le.fixlay+3) then
c --- do nothing.
elseif (p(i,j,k-2).gt.dp0cum(k-2)+tenm .and.
& (p(i,j,kk+1)-p(i,j,k-2).lt.thkbop .or.
& p(i,j,k-2) -p(i,j,k-3).gt.qqmx*dp0ij(k-3))) then
p_hat3=p(i,j,k-3)+cushn(p(i,j,k-2)-p_hat+
& p_hat0-p(i,j,k-3),
& dp0ij(k-3))
if (p_hat3.lt.p(i,j,k-2)-onemm) then
p(i,j,k-2)=(1.0-qhrlx(k-2))*p(i,j,k-2) +
& qhrlx(k-2)*max(p_hat3,
& 2.0*p(i,j,k-2)-p(i,j,k-1))
cdiag if (i.eq.itest .and. j.eq.jtest) then
cdiag write(lp,'(a,i3.2,f8.2)') 'hybgen, 2blocking :',
cdiag& k-2,p(i,j,k-2)*qonem
cdiag call flush(lp)
cdiag endif !debug
p_hat2=p(i,j,k-2)+cushn(p(i,j,k-1)-p_hat+
& p_hat0-p(i,j,k-2),
& dp0ij(k-2))
if (p_hat2.lt.p(i,j,k-1)-onemm) then
p(i,j,k-1)=(1.0-qhrlx(k-1))*p(i,j,k-1) +
& qhrlx(k-1) *max(p_hat2,
& 2.0*p(i,j,k-1)-p_hat)
cdiag if (i.eq.itest .and. j.eq.jtest) then
cdiag write(lp,'(a,i3.2,f8.2)') 'hybgen, 3blocking :',
cdiag& k-1,p(i,j,k-1)*qonem
cdiag call flush(lp)
cdiag endif !debug
p_hat=p(i,j,k-1)+cushn(p_hat0-p(i,j,k-1),
& dp0ij(k-1))
endif !p_hat2
endif !p_hat3
endif !p_hat2:blocking
endif !blocking
p_hat=min(p_hat,p(i,j,kk+1))
c
c --- move upper interface up or down
p(i,j,k)=min( (1.0-qhrlx(k))*p(i,j,k) +
& qhrlx(k) *p_hat,
& p(i,j,k+1) )
c
cdiag if (i.eq.itest .and. j.eq.jtest) then
cdiag write(lp,'(a,i3.2,f8.2)') 'hybgen, entrain(k) :',
cdiag& k,p(i,j,k)*qonem
cdiag call flush(lp)
cdiag endif !debug
c
endif !too-dense adjustment
c
elseif (th3d(i,j,k,n).lt.theta(i,j,k)-epsil) then ! layer too light
c
c --- water in layer k is too light
c --- try to dilute with water from layer k+1
c --- do not entrain if layer k touches bottom
c
if (p(i,j,k+1).lt.p(i,j,kk+1)) then ! k<kk
if (th3d(i,j,k+1,n).le.theta(i,j,k+1) .or.
& p(i,j,k+1).le.dp0cum(k+1)+onem .or.
& p(i,j,k+1)-p(i,j,k).lt.p(i,j,k+2)-p(i,j,k+1)) then
c
c --- if layer k+1 is too dense, thicken the thinner of the
c --- two, i.e. skip this layer (never get here) if it is not
c --- thinner than the other.
c
cdiag if (i.eq.itest .and. j.eq.jtest) then
cdiag write(lp,'(a,3x,i2.2,1pe13.5)')
cdiag& 'hybgen, too light:',k,
cdiag& theta(i,j,k)-th3d(i,j,k,n)
cdiag call flush(lp)
cdiag endif !debug
c
if ((th3d(i,j,k+1,n)-theta(i,j,k)).le.epsil) then
c layer k-1 too light, take entire layer
p_hat=p(i,j,k+2)
else
q=(th3d(i,j,k, n)-theta(i,j,k))/
& (th3d(i,j,k+1,n)-theta(i,j,k)) !-1 <= q < 0
p_hat=p(i,j,k+1)+q*(p(i,j,k)-p(i,j,k+1)) !>p(i,j,k+1)
endif
c
c --- if layer k+1, or layer k+2, does not touch the bottom
c --- then maintain minimum thicknesses of layers k and k+1 as
c --- much as possible. otherwise, permit layers to collapse
c --- to zero thickness at the bottom.
c
if (p(i,j,min(k+3,kk+1)).lt.p(i,j,kk+1)) then
if (p(i,j,kk+1)-p(i,j,k).gt.
& dp0ij(k)+dp0ij(k+1) ) then
p_hat=p(i,j,k+2)-cushn(p(i,j,k+2)-p_hat,dp0ij(k+1))
endif
p_hat=p(i,j,k)+max(p_hat-p(i,j,k),dp0ij(k))
p_hat=min(p_hat,
& max(0.5*(p(i,j,k+1)+p(i,j,k+2)),
& p(i,j,k+2)-dp0ij(k+1)))
else
p_hat=min(p(i,j,k+2),p_hat)
endif !p.k+2<p.kk+1
if (p_hat.gt.p(i,j,k+1)) then
c --- entrain layer k+1 water into layer k.
p(i,j,k+1)=(1.0-qhrlx(k+1))*p(i,j,k+1) +
& qhrlx(k+1) *p_hat
endif !entrain
c
cdiag if (i.eq.itest .and. j.eq.jtest) then
cdiag write(lp,'(a,i3.2,f8.2)')
cdiag& 'hybgen, entrain(k+):',k,p(i,j,k+1)*qonem
cdiag call flush(lp)
cdiag endif !debug
c
endif !too-light adjustment
endif !above bottom
endif !too dense or too light
c
c --- if layer above is still too thin, move interface down.
p_hat0=min(p(i,j,k-1)+dp0ij(k-1),p(i,j,kk+1))
if (p_hat0.gt.p(i,j,k)) then
p_hat =(1.0-qhrlx(k-1))*p(i,j,k)+
& qhrlx(k-1) *p_hat0
p(i,j,k)=min(p_hat,p(i,j,k+1))
c
cdiag if (i.eq.itest .and. j.eq.jtest) then
cdiag write(lp,'(a,i3.2,f8.2)')
cdiag& 'hybgen, min. thknss (k+):',k-1,p(i,j,k)*qonem
cdiag call flush(lp)
cdiag endif !debug
endif
c
endif !k.le.fixlay:else
c
enddo !k vertical coordinate relocation
c
c --- remap scalar field profiles from the 'old' vertical
c --- grid onto the 'new' vertical grid.
c
if (lconserve) then !usually .false.
do ktr=1,nums1d
asum(ktr,1) = 0.d0
asum(ktr,2) = 0.d0
asum(ktr,3) = 0.d0
enddo !ktr
endif
c
prsf(1) = p(i,j,1)
do k=1,kk
dp(i,j,k,n) = max( p(i,j,k+1)-prsf(k), 0.0 ) !enforce interface order
c --- to avoid roundoff errors in -dpudpv- after restart, make sure p=p(dp)
prsf(k+1) = prsf(k) + dp(i,j,k,n)