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hybgen.F90
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hybgen.F90
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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
!
! --- hycom version 1.0
implicit none
!
logical hybgen_raflag
integer m,n
!
! --- ---------------------
! --- hybrid grid generator
! --- ---------------------
!
logical, parameter :: lpipe_hybgen=.false. !for debugging
!
integer i,j,k
character text*12
!
103 format (i9,2i5,a/(33x,i3,2f8.3,f8.3,f9.3,f9.2))
!diag if (itest.gt.0 .and. jtest.gt.0) then
!diag write (lp,103) nstep,itest+i0,jtest+j0, &
!diag ' entering hybgen: temp saln dens thkns dpth', &
!diag (k,temp(itest,jtest,k,n),saln(itest,jtest,k,n), &
!diag th3d(itest,jtest,k,n)+thbase,dp(itest,jtest,k,n)*qonem, &
!diag p(itest,jtest,k+1)*qonem,k=1,kk)
!diag endif
!
!$OMP PARALLEL DO PRIVATE(j) &
!$OMP SHARED(m,n) &
!$OMP SCHEDULE(STATIC,jblk)
do j=1,jj
call hybgenaj(m,n, j)
enddo
!$OMP END PARALLEL DO
!
! --- vertical momentum flux across moving interfaces (the s-dot term in the
! --- momentum equation) - required to locally conserve momentum when hybgen
! --- moves vertical coordinates first, store old interface pressures in
! --- -pu-, -pv-
!
!$OMP PARALLEL DO PRIVATE(j,i,k) &
!$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
!$OMP END PARALLEL DO
!
! --- update layer thickness at -u,v- points.
call dpudpv(dpu(1-nbdy,1-nbdy,1,n), &
dpv(1-nbdy,1-nbdy,1,n), &
p,depthu,depthv, 0,0)
!
if (lpipe .and. lpipe_hybgen) then
! --- compare two model runs.
! --- exit (if any) in next call to pipe_compare_all
!
call pipe_fatal_off
do k= 1,kk+1
write (text,'(a9,i3)') 'p k=',k
call pipe_compare(p( 1-nbdy,1-nbdy,k),ip,text)
write (text,'(a9,i3)') 'pu k=',k
call pipe_compare(pu(1-nbdy,1-nbdy,k),iu,text)
write (text,'(a9,i3)') 'pv k=',k
call pipe_compare(pv(1-nbdy,1-nbdy,k),iv,text)
enddo
do k= 1,kk
write (text,'(a9,i3)') 'dp k=',k
call pipe_compare(dp( 1-nbdy,1-nbdy,k,n),ip,text)
write (text,'(a9,i3)') 'dpu k=',k
call pipe_compare(dpu(1-nbdy,1-nbdy,k,n),iu,text)
write (text,'(a9,i3)') 'dpv k=',k
call pipe_compare(dpv(1-nbdy,1-nbdy,k,n),iv,text)
enddo
call pipe_fatal_on
endif
!
!$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
!$OMP END PARALLEL DO
!
if (hybgen_raflag) then
!
! --- Apply Robert-Asselin update to layer thickness at time level t
!
!$OMP PARALLEL DO PRIVATE(j) &
!$OMP SHARED(m,n) &
!$OMP SCHEDULE(STATIC,jblk)
do j=1,jj
call hybgencj(m,n, j)
enddo
!$OMP END PARALLEL DO
!
!$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
!
call dpudpv(dpu(1-nbdy,1-nbdy,1,m), &
dpv(1-nbdy,1-nbdy,1,m), &
p,depthu,depthv, 0,0)
!
if (lpipe .and. lpipe_hybgen) then
! --- 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
!
!$OMP PARALLEL DO PRIVATE(j) &
!$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
!
return
end subroutine hybgen
subroutine hybgenaj(m,n,j )
use mod_xc ! HYCOM communication interface
use mod_cb_arrays ! HYCOM saved arrays
implicit none
!
integer m,n, j
!
! --- --------------------------------------------
! --- hybrid grid generator, single j-row (part A).
! --- --------------------------------------------
!
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)
!
double precision asum( mxtrcr+4,3)
real offset(mxtrcr+4)
!
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
!
double precision, parameter :: zp5=0.5 !for sign function
!
! --- c u s h i o n function (from Bleck & Benjamin, 1992):
! --- if delp >= qqmx*dp0 >> dp0, -cushn- returns -delp-
! --- if delp <= qqmn*dp0 << -dp0, -cushn- returns -dp0-
!
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)
!
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))
!
dpthin = 0.001*onemm
thkbop = thkbot*onem
hybrlx = 1.0/qhybrlx
!
if (mxlmy) then
nums1d = ntracr + 4
else
nums1d = ntracr + 2
endif
!
if (.not.isopcm) then
! --- 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
!
do i=1,ii
if (SEA_P) then
!
! --- terrain following starts at depth dpns and ends at depth dsns
if (dpns.eq.dsns) then
qdep = 1.0 !not terrain following
else
qdep = max( 0.0, min( 1.0, &
(depths(i,j) - dsns)/ &
(dpns - dsns) ) )
endif
!
if (qdep.lt.1.0) then
! --- 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)
!diag if (i.eq.itest .and. j.eq.jtest) then
!diag k=1
!diag write (lp,*) 'qdep = ',qdep
!diag write (lp,'(a/i6,1x,4f9.3/a)') &
!diag ' k dp0ij ds0k dp0k p', &
!diag k,dp0ij(k)*qonem,ds0k(1)*qonem,dp0k(1)*qonem, &
!diag p(i,j,k)*qonem, &
!diag ' k dp0ij p-cum p dp0cum'
!diag 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)
!diag if (i.eq.itest .and. j.eq.jtest) then
!diag write (lp,'(i6,1x,4f9.3)') &
!diag k,dp0ij(k)*qonem,p(i,j,k)*qonem-dp0cum(k)*qonem, &
!diag p(i,j,k)*qonem,dp0cum(k)*qonem
!diag endif !debug
enddo !k
else
! --- 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)
!diag if (i.eq.itest .and. j.eq.jtest) then
!diag k=1
!diag write (lp,*) 'qdep = ',qdep
!diag write (lp,'(a/i6,1x,f9.3)') &
!diag ' k dp0ij dp0k q p-cum p dp0cum', &
!diag k,dp0ij(k)*qonem
!diag 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
! --- q is dp0k(k) when in surface fixed coordinates
! --- 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)
!diag if (i.eq.itest .and. j.eq.jtest) then
!diag write (lp,'(i6,1x,6f9.3)') &
!diag k,dp0ij(k)*qonem,dp0k(k)*qonem,q*qonem, &
!diag p(i,j,k)*qonem-dp0cum(k)*qonem, &
!diag p(i,j,k)*qonem,dp0cum(k)*qonem
!diag endif !debug
enddo !k
endif !qdep<1:else
!
! --- 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
! --- 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
!diag if (i.eq.itest .and. j.eq.jtest) then
!diag write(lp,'(a,i3)') &
!diag 'hybgen, always-fixed coordinate layers: 1 to ', &
!diag fixlay
!diag call flush(lp)
!diag endif !debug
!
fixall = fixlay
do k= fixall+1,nhybrd
!diag if (i.eq.itest .and. j.eq.jtest) then
!diag write (lp,'(i6,1x,2f9.3)') &
!diag k,p(i,j,k+1)*qonem,dp0cum(k+1)*qonem
!diag call flush(lp)
!diag endif !debug
if (p(i,j,k+1).gt.dp0cum(k+1)+0.1*dp0ij(k)) then
if (fixlay.gt.fixall) then
! --- 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
! --- sometimes fixed coordinate layer
qhrlx(k) = 1.0 !no relaxation in fixed layers
fixlay = fixlay+1
enddo !k
!diag if (i.eq.itest .and. j.eq.jtest) then
!diag write(lp,'(a,i3)') &
!diag 'hybgen, fixed coordinate layers: 1 to ', &
!diag fixlay
!diag call flush(lp)
!diag endif !debug
!
!diag if (i.eq.itest .and. j.eq.jtest) then
!diag write (lp,'(a/(i6,1x,2f8.3,2f9.3,f9.3))') &
!diag 'hybgen: thkns minthk dpth mindpth hybrlx', &
!diag (k,dp(i,j,k,n)*qonem, dp0ij(k)*qonem, &
!diag p(i,j,k+1)*qonem,dp0cum(k+1)*qonem, &
!diag 1.0/qhrlx(k+1), &
!diag k=1,kk)
!diag endif !debug
!
! --- identify the deepest layer kp with significant thickness (> dpthin)
!
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
!
!diag if (i.eq.itest .and. j.eq.jtest) then
!diag write(lp,'(a,i3)') &
!diag 'hybgen, deepest inflated layer:',kp
!diag call flush(lp)
!diag endif !debug
!
k = kp !at least 2
ka = max(k-2,1) !k might be 2
!
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
!
! --- water in the deepest inflated layer with significant thickness
! --- (kp) is too light, and it is lighter than the two layers above.
! ---
! --- this should only occur when relaxing or nudging layer thickness
! --- and is a bug (bad interaction with tsadvc) even in those cases
! ---
! --- entrain the entire layer into the one above
!--- 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
! --- 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
!diag if (i.eq.itest .and. j.eq.jtest) then
!diag write(lp,'(a,i3,f6.3,5f8.3)') &
!diag 'hybgen, 11(+):', &
!diag k-1,q,temp(i,j,k-1,n),saln(i,j,k-1,n), &
!diag th3d(i,j,k-1,n)+thbase,theta(i,j,k-1)+thbase
!diag write(lp,'(a,i3)') &
!diag 'hybgen, deepest inflated layer:',kp
!diag call flush(lp)
!diag endif !debug
elseif (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) ) then
!
! --- water in the deepest inflated layer with significant thickness
! --- (kp) is too light, and it is lighter than the layer above.
! ---
! --- swap the entire layer with the one above.
!diag if (i.eq.itest .and. j.eq.jtest) then
!diag write(lp,'(a,i3,f8.5,5f10.5)') &
!diag 'hybgen, original:', &
!diag k-1,0.0,temp(i,j,k-1,n),saln(i,j,k-1,n), &
!diag th3d(i,j,k-1,n)+thbase,theta(i,j,k-1)+thbase
!diag write(lp,'(a,i3,f8.5,5f10.5)') &
!diag 'hybgen, original:', &
!diag k,0.0,temp(i,j,k, n),saln(i,j,k, n), &
!diag th3d(i,j,k, n)+thbase,theta(i,j,k )+thbase
!diag endif !debug
if (p(i,j,k+1)-p(i,j,k).le.p(i,j,k)-p(i,j,k-1)) then
! --- bottom layer is thinner, take entire bottom layer
!--- note the double negative in T=T-q*(T-T'), equiv. to T=T+q*(T'-T)
s1d(k-1,1) = temp(i,j,k-1,n)
s1d(k-1,2) = saln(i,j,k-1,n)
s1d(k-1,3) = th3d(i,j,k-1,n)
q = (p(i,j,k+1)-p(i,j,k))/(p(i,j,k)-p(i,j,k-1)) !<=1.0
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
temp(i,j,k,n) = s1d(k-1,1)
saln(i,j,k,n) = s1d(k-1,2)
th3d(i,j,k,n) = s1d(k-1,3)
do ktr= 1,ntracr
s1d(k-1,2+ktr) = tracer(i,j,k-1,n,ktr)
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) )
tracer(i,j,k, n,ktr) = s1d(k-1,2+ktr)
enddo !ktr
if (mxlmy) then
s1d(k-1,ntracr+3) = q2( i,j,k-1,n)
s1d(k-1,ntracr+4) = q2l(i,j,k-1,n)
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))
q2( i,j,k, n) = s1d(k-1,ntracr+3)
q2l(i,j,k, n) = s1d(k-1,ntracr+4)
endif
else
! --- bottom layer is thicker, take entire layer above
s1d(k,1) = temp(i,j,k,n)
s1d(k,2) = saln(i,j,k,n)
s1d(k,3) = th3d(i,j,k,n)
q = (p(i,j,k)-p(i,j,k-1))/(p(i,j,k+1)-p(i,j,k)) !<1.0
if (hybflg.eq.0) then !T&S
temp(i,j,k,n)=temp(i,j,k,n)+q*(temp(i,j,k-1,n) - &
temp(i,j,k, n) )
saln(i,j,k,n)=saln(i,j,k,n)+q*(saln(i,j,k-1,n) - &
saln(i,j,k, 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*(th3d(i,j,k-1,n) - &
th3d(i,j,k, n) )
saln(i,j,k,n)=saln(i,j,k,n)+q*(saln(i,j,k-1,n) - &
saln(i,j,k, 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*(th3d(i,j,k-1,n) - &
th3d(i,j,k, n) )
temp(i,j,k,n)=temp(i,j,k,n)+q*(temp(i,j,k-1,n) - &
temp(i,j,k, n) )
saln(i,j,k,n)=sofsig(th3d(i,j,k,n)+thbase,temp(i,j,k,n))
endif
temp(i,j,k-1,n) = s1d(k,1)
saln(i,j,k-1,n) = s1d(k,2)
th3d(i,j,k-1,n) = s1d(k,3)
do ktr= 1,ntracr
s1d(k,2+ktr) = tracer(i,j,k,n,ktr)
tracer(i,j,k, n,ktr) = tracer(i,j,k,n,ktr)+ &
q*(tracer(i,j,k-1,n,ktr) - &
tracer(i,j,k, n,ktr) )
tracer(i,j,k-1,n,ktr) = s1d(k,2+ktr)
enddo !ktr
if (mxlmy) then
s1d(k,ntracr+3) = q2( i,j,k,n)
s1d(k,ntracr+4) = q2l(i,j,k,n)
q2( i,j,k, n) = q2( i,j,k,n)- &
q*(q2( i,j,k-1,n)-q2( i,j,k,n))
q2l(i,j,k, n) = q2l(i,j,k,n)- &
q*(q2l(i,j,k-1,n)-q2l(i,j,k,n))
q2( i,j,k-1,n) = s1d(k,ntracr+3)
q2l(i,j,k-1,n) = s1d(k,ntracr+4)
endif
endif !bottom too light
!diag if (i.eq.itest .and. j.eq.jtest) then
!diag write(lp,'(a,i3,f8.5,5f10.5)') &
!diag 'hybgen, overturn:', &
!diag k-1,q,temp(i,j,k-1,n),saln(i,j,k-1,n), &
!diag th3d(i,j,k-1,n)+thbase,theta(i,j,k-1)+thbase
!diag write(lp,'(a,i3,f8.5,5f10.5)') &
!diag 'hybgen, overturn:', &
!diag k, q,temp(i,j,k, n),saln(i,j,k, n), &
!diag th3d(i,j,k, n)+thbase,theta(i,j,k )+thbase
!diag call flush(lp)
!diag endif !debug
endif
!
k = kp !at least 2
ka = max(k-2,1) !k might be 2
!
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
!
! --- water in the deepest inflated layer with significant thickness
! --- (kp) is too light, with the layer above near-isopycnal
! ---
! --- split layer into 2 sublayers, one near the desired density
! --- and one exactly matching the T&S properties of layer k-1.
! --- To prevent "runaway" T or S, the result satisfies either
! --- abs(T.k - T.k-1) <= abs(T.k-N - T.k-1) or
! --- abs(S.k - S.k-1) <= abs(S.k-N - S.k-1) where
! --- th3d.k-1 - th3d.k-N is at least theta(k-1) - theta(k-2)
! --- It is also limited to a 50% change in layer thickness.
!
!diag if (i.eq.itest .and. j.eq.jtest) then
!diag write(lp,'(a,i3)') &
!diag 'hybgen, deepest inflated layer too light (stable):',k
!diag call flush(lp)
!diag endif !debug
!
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
!
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))
! --- 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
! --- 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
! --- 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))
!diag if (i.eq.itest .and. j.eq.jtest) then
!diag write(lp,'(a,i4,i3,5e12.3)') &
!diag 'hybgen, 10(+):', &
!diag k,ktr,p_hat,p(i,j,k),p(i,j,k-1), &
!diag qtr,tracer(i,j,k-1,n,ktr)
!diag call flush(lp)
!diag 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
! --- 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))
!diag if (i.eq.itest .and. j.eq.jtest) then
!diag write(lp,'(a,i4,i3,6e12.3)') &
!diag 'hybgen, 10(+):', &
!diag k,0,p_hat,p(i,j,k)-p(i,j,k-1),p(i,j,k+1)-p(i,j,k), &
!diag qtr,q2(i,j,k-1,n),q2l(i,j,k-1,n)
!diag call flush(lp)
!diag endif !debug
endif
!diag if (i.eq.itest .and. j.eq.jtest) then
!diag write(lp,'(a,i3,f6.3,5f8.3)') &
!diag 'hybgen, 10(+):', &
!diag k,q,temp(i,j,k,n),saln(i,j,k,n), &
!diag th3d(i,j,k,n)+thbase,theta(i,j,k)+thbase
!diag call flush(lp)
!diag endif !debug
!diag if (i.eq.itest .and. j.eq.jtest) then
!diag write(lp,'(a,i3,f6.3,5f8.3)') &
!diag 'hybgen, 10(-):', &
!diag k,0.0,temp(i,j,k,n),saln(i,j,k,n), &
!diag th3d(i,j,k,n)+thbase,theta(i,j,k)+thbase
!diag call flush(lp)
!diag endif !debug
endif !too light
!
! --- massless or near-massless (thickness < dpthin) layers
!
do k=kp+1,kk
if (k.le.nhybrd) then
! --- 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
! --- 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
! --- 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
!
! --- store one-dimensional arrays of -temp-, -saln-, and -p- for the 'old'
! --- 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)
!
if (isopcm) then
if (k.le.fixlay) then
lcm(k) = .false. !fixed layers are never PCM
else
! --- 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
!
! --- try to restore isopycnic conditions by moving layer interfaces
! --- qhrlx(k) are relaxation coefficients (inverse baroclinic time steps)
!
if (fixlay.ge.1) then
!
! --- 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
!
do k=2,nhybrd
!
!diag if (i.eq.itest .and. j.eq.jtest) then
!diag write(cinfo,'(a9,i2.2,1x)') ' do 88 k=',k
!diag write(lp,'(i9,2i5,a,a)') nstep,itest+i0,jtest+j0, &
!diag cinfo,': othkns odpth nthkns ndpth'
!diag do ka=1,kk
!diag if (pres(ka+1).eq.p(itest,jtest,ka+1) .and. &
!diag pres(ka ).eq.p(itest,jtest,ka ) ) then
!diag write(lp,'(i9,8x,a,a,i3,f10.3,f9.3)') &
!diag nstep,cinfo,':',ka, &
!diag (pres(ka+1)- &
!diag pres(ka) )*qonem, &
!diag pres(ka+1) *qonem
!diag else
!diag write(lp,'(i9,8x,a,a,i3,f10.3,f9.3,f10.3,f9.3)') &
!diag nstep,cinfo,':',ka, &
!diag (pres(ka+1)- &
!diag pres(ka) )*qonem, &
!diag pres(ka+1) *qonem, &
!diag (p(itest,jtest,ka+1)- &
!diag p(itest,jtest,ka) )*qonem, &
!diag p(itest,jtest,ka+1) *qonem
!diag endif
!diag enddo !ka
!diag call flush(lp)
!diag endif !debug
!
if (k.le.fixlay) then
!
! --- 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
! --- 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
!
!diag if (i.eq.itest .and. j.eq.jtest) then
!diag write(lp,'(a,i3.2,f8.2)') 'hybgen, fixlay :', &
!diag k+1,p(i,j,k+1)*qonem
!diag call flush(lp)
!diag endif !debug
else
!
! --- do not maintain constant thickness, k > fixlay
!
if (th3d(i,j,k,n).gt.theta(i,j,k)+epsil .and. &
k.gt.fixlay+1) then
!
! --- water in layer k is too dense
! --- try to dilute with water from layer k-1
! --- do not move interface if k = fixlay + 1
!
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
!
! --- if layer k-1 is too light, thicken the thinner of the two,
! --- i.e. skip this layer if it is thicker.
!
!diag if (i.eq.itest .and. j.eq.jtest) then
!diag write(lp,'(a,3x,i2.2,1pe13.5)') &
!diag 'hybgen, too dense:',k,th3d(i,j,k,n)-theta(i,j,k)
!diag call flush(lp)
!diag endif !debug
!
if ((theta(i,j,k)-th3d(i,j,k-1,n)).le.epsil) then
! layer k-1 much 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)
if (k.eq.fixlay+2) then
! --- treat layer k-1 as fixed.
p_hat =p(i,j,k-1)+ max(p_hat0-p(i,j,k-1),dp0ij(k-1))
else
! --- 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))
endif !fixlay+2:else
end if
p_hat=min(p_hat,p(i,j,kk+1))
!
! --- if isopycnic conditions cannot be achieved because of a blocking
! --- layer in the interior ocean, move interface k-1 (and k-2 if
! --- necessary) upward
!
if (k.le.fixlay+2) then
! --- 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
if (k.eq.fixlay+3) then
! --- treat layer k-2 as fixed.
p_hat2=p(i,j,k-2)+ &
max(p(i,j,k-1)-p_hat+p_hat0-p(i,j,k-2), &
dp0ij(k-2))
else
! --- maintain minimum thickess of layer k-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))
endif !fixlay+3:else
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)
!diag if (i.eq.itest .and. j.eq.jtest) then
!diag write(lp,'(a,i3.2,f8.2)') 'hybgen, 1blocking :', &
!diag k-1,p(i,j,k-1)*qonem
!diag call flush(lp)
!diag 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
! --- do nothing.