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barotp.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 barotp(m,n)
use mod_xc ! HYCOM communication interface
use mod_cb_arrays ! HYCOM saved arrays
use mod_pipe ! HYCOM debugging interface
use mod_tides ! HYCOM tides
#if defined(STOKES)
use mod_stokes ! HYCOM Stokes Drift
#endif
implicit none
c
integer m,n
c
c --- ------------------------------------------------------------------------
c --- advance barotropic equations.
c --- on entry: -n- is time t-dt, -m- is time t
c --- on exit: -m- is time t, -n- is time t+dt
c --- time level 3 is only used internally (n and m are always 1 or 2).
c
c --- LeapFrog version based on:
c --- Y. Morel, Baraille, R., Pichon A. (2008) "Time splitting and
c --- linear stability of the slow part of the barotropic component",
c --- Ocean Modeling, 23, pp 73-81.
c --- ------------------------------------------------------------------------
c
logical lpipe_barotp
parameter (lpipe_barotp=.false.)
logical ldebug_barotp
parameter (ldebug_barotp=.false.)
c
real q,pbudel,pbvdel,utndcy,vtndcy,wblpf
real d11,d12,d21,d22,ubp,vbp
real*8 sump
integer i,j,l,lll,ml,nl,mn,lstep1,margin,mbdy
c & ,iffstep
logical ldrag
c data iffstep/0/
c save iffstep
c
#if defined(RELO)
real, save, allocatable, dimension(:,:) ::
& pbavo,ubavo,vbavo,displd,gslpr
c
if (.not.allocated(pbavo)) then
allocate(
& pbavo(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy),
& ubavo(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy),
& vbavo(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy),
& displd(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy),
& gslpr(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy) )
call mem_stat_add( 5*(idm+2*nbdy)*(jdm+2*nbdy) )
pbavo = r_init
ubavo = r_init
vbavo = r_init
displd = r_init
gslpr = r_init
endif
#else
real, save, dimension(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy) ::
& pbavo,ubavo,vbavo,displd,gslpr
#endif
c
mbdy = 6
c
margin = mbdy
c --- atmospheric pressure forcing
c
do j=1-margin,jj+margin
do i=1-margin,ii+margin
if (mslprf) then
if (natm.eq.2) then
gslpr(i,j) =( mslprs(i,j,l0)*w0+
& mslprs(i,j,l1)*w1 )*thref
else
gslpr(i,j) =( mslprs(i,j,l0)*w0+
& mslprs(i,j,l1)*w1+
& mslprs(i,j,l2)*w2+
& mslprs(i,j,l3)*w3 )*thref
endif !natm
else
gslpr(i,j) = 0.0
endif !mslprf
enddo !i
enddo !j
c
c --- utotn,vtotn from momtum is time step t-1 to t+1 barotropic tendency
call xctilr(utotn( 1-nbdy,1-nbdy ),1, 1, 6,6, halo_uv)
call xctilr(vtotn( 1-nbdy,1-nbdy ),1, 1, 6,6, halo_vv)
c
if (lpipe .and. lpipe_barotp) then
c --- compare two model runs.
call pipe_compare_sym2(utotn, iu,'barotp:utotn',
& vtotn, iv,'barotp:vtotn')
call pipe_compare_sym1(pvtrop,iq,'barotp:pvtrp')
endif
c
c --- explicit time integration of barotropic flow (forward-backward scheme)
c --- in order to combine forward-backward scheme with leapfrog treatment of
c --- coriolis term, v-eqn must be solved before u-eqn every other time step
c
if (btrlfr) then
if (delt1.ne.baclin) then !not on very 1st time step
c --- start at time level t-dt and go to t+dt.
lstep1 = lstep + lstep !more stable, but also more expensive
!$OMP PARALLEL DO PRIVATE(j,i)
!$OMP& SCHEDULE(STATIC,jblk)
do j=1,jj
do i=1,ii
pbavo(i,j) = pbavg(i,j,n) !save t-1 for RA filter
ubavo(i,j) = ubavg(i,j,n) !save t-1 for RA filter
vbavo(i,j) = vbavg(i,j,n) !save t-1 for RA filter
c
pbavg(i,j,3) = pbavg(i,j,n)
ubavg(i,j,3) = ubavg(i,j,n)
vbavg(i,j,3) = vbavg(i,j,n)
enddo !i
enddo !j
else !1st time step
c --- start at time level t and go to t+dt.
lstep1 = lstep
!$OMP PARALLEL DO PRIVATE(j,i)
!$OMP& SCHEDULE(STATIC,jblk)
do j=1,jj
do i=1,ii
pbavo(i,j) = 0.0 !makes correct mean height safe
pbavg(i,j,n) = pbavg(i,j,m)
ubavg(i,j,n) = ubavg(i,j,m)
vbavg(i,j,n) = vbavg(i,j,m)
pbavg(i,j,3) = pbavg(i,j,m)
ubavg(i,j,3) = ubavg(i,j,m)
vbavg(i,j,3) = vbavg(i,j,m)
enddo !i
enddo !j
endif !usual:1st time step
else
c --- start at time level t and go to t+dt.
lstep1 = lstep !original, less stable, method
!$OMP PARALLEL DO PRIVATE(j,i)
!$OMP& SCHEDULE(STATIC,jblk)
do j=1,jj
do i=1,ii
pbavo(i,j) = 0.0 !makes correct mean height safe
pbavg(i,j,n) = pbavg(i,j,m)
ubavg(i,j,n) = ubavg(i,j,m)
vbavg(i,j,n) = vbavg(i,j,m)
enddo !i
enddo !j
endif !btrlfr
c
ldrag = tidflg.gt.0 .and. drgscl.ne.0.0 .and. thkdrg.eq.0.0
c
if (ldrag) then
displd(:,:) = 0.0
endif
c
c --- time step loop
c
if (btrlfr) then
wblpf = 0.0 !1st minor time step, lll=1, only
else
wblpf = wbaro
endif
c
do 840 lll=1,lstep1,2
c
call xctilr(pbavg( 1-nbdy,1-nbdy,1 ),1, 3, 6,6, halo_ps)
call xctilr(ubavg( 1-nbdy,1-nbdy,1 ),1, 3, 6,6, halo_uv)
call xctilr(vbavg( 1-nbdy,1-nbdy,1 ),1, 3, 6,6, halo_vv)
c
if (lpipe .and. lpipe_barotp) then
call pipe_compare_sym1(
& pbavg(1-nbdy,1-nbdy,nl),ip,'barot+:pbavn')
call pipe_compare_sym2(
& ubavg(1-nbdy,1-nbdy,nl),iu,'barot+:ubavn',
& vbavg(1-nbdy,1-nbdy,nl),iv,'barot+:vbavn')
call pipe_compare_sym1(
& pbavg(1-nbdy,1-nbdy,ml),ip,'barot+:pbavm')
call pipe_compare_sym2(
& ubavg(1-nbdy,1-nbdy,ml),iu,'barot+:ubavm',
& vbavg(1-nbdy,1-nbdy,ml),iv,'barot+:vbavm')
endif
c
c --- odd minor time step.
c
ml=n
nl=3
c
c --- continuity equation, and tidal drag on p-grid
c
c --- rhs: pbavg, ubavg+, vbavg+
c --- lhs: pbavg
c
margin = mbdy - 1
c
!$OMP PARALLEL DO PRIVATE(j,i,pbudel,pbvdel,
!$OMP& ubp,vbp,d11,d12,d21,d22,q)
!$OMP& SCHEDULE(STATIC,jblk)
do j=1-margin,jj+margin
do i=1-margin,ii+margin
if (SEA_P) then
#if defined(STOKES)
c
c Barotropic Stokes flow included here
c
pbudel = (ubavg(i+1,j,ml)+usdbavg(i+1,j))*
& (depthu(i+1,j)*scuy(i+1,j))
& -(ubavg(i, j,ml)+usdbavg(i, j))*
& (depthu(i, j)*scuy(i, j))
pbvdel = (vbavg(i,j+1,ml)+vsdbavg(i,j+1))*
& (depthv(i,j+1)*scvx(i,j+1))
& -(vbavg(i,j, ml)+vsdbavg(i,j ))*
& (depthv(i,j )*scvx(i,j ))
#else
pbudel = ubavg(i+1,j,ml)*(depthu(i+1,j)*scuy(i+1,j))
& -ubavg(i ,j,ml)*(depthu(i ,j)*scuy(i ,j))
pbvdel = vbavg(i,j+1,ml)*(depthv(i,j+1)*scvx(i,j+1))
& -vbavg(i,j ,ml)*(depthv(i,j )*scvx(i,j ))
#endif
pbavg(i,j,nl)=
& ((1.-wblpf)*pbavg(i,j,ml)+
& wblpf *pbavg(i,j,nl) )-
& (1.+wblpf)*dlt*(pbudel + pbvdel)*scp2i(i,j)
c
if (ldrag) then
c
c --- tidal drag tensor on p-grid:
c --- ub = ub - (dlt/H)*(t.11*ub + t.12*vb)
c --- vb = vb - (dlt/H)*(t.21*ub + t.22*vb)
c --- solve implicitly by inverting the matrix:
c --- 1+(dlt/H)*t.11 (dlt/H)*t.12
c --- (dlt/H)*t.21 1+(dlt/H)*t.22
c --- use depths (H) rather than onem*pbavg (h) for stability.
c
ubp = 0.5*(ubavg(i+1,j,nl)+ubavg(i,j,nl))
vbp = 0.5*(vbavg(i,j+1,nl)+vbavg(i,j,nl))
d11 = -dlt/depths(i,j) * drgten(1,1,i,j)
d12 = -dlt/depths(i,j) * drgten(1,2,i,j)
d21 = -dlt/depths(i,j) * drgten(2,1,i,j)
d22 = -dlt/depths(i,j) * drgten(2,2,i,j)
q = 1.0/((1.0-d11)*(1.0-d22)-d12*d21)
c --- set util5,util6 to the ubavg,vbavg drag increment
util5(i,j) = q*(ubp*(1.0-d22)+vbp*d12) - ubp
util6(i,j) = q*(ubp*d21+vbp*(1.0-d11)) - vbp
c --- add an explicit antidrag correction
* util5(i,j) = util5(i,j) - (d11*untide(i,j)+
* & d12*vntide(i,j) )
* util6(i,j) = util6(i,j) - (d21*untide(i,j)+
* & d22*vntide(i,j) )
c --- dissipation per m^2
displd(i,j) = displd(i,j) +
& (ubp*util5(i,j) + vbp*util6(i,j))*
& depths(i,j)*qthref/dlt
c
* if (ldebug_barotp .and. i.eq.itest.and.j.eq.jtest) then
* write (lp,'(i9,2i5,i3,3x,a,4g15.6)')
* & nstep,i+i0,j+j0,lll,
* & 'ubp,new,vbp,new =',
* & ubp,ubp+util5(i,j),
* & vbp,vbp+util6(i,j)
* endif !debug
else
util5(i,j) = 0.0
util6(i,j) = 0.0
endif !ldrag
endif !ip
enddo !i
enddo !j
c
mn=ml
c
c --- u momentum equation, 1st
c
c --- rhs: pbavg+, vbavg+, pvtrop+
c --- lhs: ubavg
c
margin = margin - 1
c
!$OMP PARALLEL DO PRIVATE(j,i,utndcy)
!$OMP& SCHEDULE(STATIC,jblk)
do j=1-margin,jj+margin
do i=1-margin,ii+margin
if (SEA_U) then
utndcy=-thref*(pbavg(i,j,nl)-pbavg(i-1,j,nl))*scuxi(i,j)-
& (gslpr(i,j) -gslpr(i-1,j) )*scuxi(i,j)+
& ((vbavg(i ,j, mn)*depthv(i ,j)
& +vbavg(i ,j+1,mn)*depthv(i ,j+1))+
& (vbavg(i-1,j, mn)*depthv(i-1,j)
& +vbavg(i-1,j+1,mn)*depthv(i-1,j+1)))*
& (0.125*(pvtrop(i,j)+pvtrop(i,j+1)))
c
ubavg(i,j,nl)=
& ((1.-wblpf)*ubavg(i,j,ml)+
& wblpf *ubavg(i,j,nl) )+
& (1.+wblpf)*dlt*(utndcy+utotn(i,j))+
& 0.5*(util5(i,j)+util5(i-1,j))
c
* if (ldebug_barotp .and. i.eq.itest.and.j.eq.jtest) then
* write (lp,'(i9,2i5,i3,3x,a,7g15.6)')
* & nstep,i+i0,j+j0,lll,
* & 'u_old,u_new,p_grad,m_grad,corio,u_star,drag =',
* & ubavg(i,j,ml),ubavg(i,j,nl),
* & -thref*(pbavg(i,j,nl)-pbavg(i-1,j,nl))*scuxi(i,j)*dlt,
* & -(gslpr(i,j) -gslpr(i-1,j) )*scuxi(i,j)*dlt,
* & (vbavg(i ,j, mn)*depthv(i ,j)
* & +vbavg(i ,j+1,mn)*depthv(i ,j+1)
* & +vbavg(i-1,j, mn)*depthv(i-1,j)
* & +vbavg(i-1,j+1,mn)*depthv(i-1,j+1))
* & *(pvtrop(i,j)+pvtrop(i,j+1))
* & *.125 * dlt,utotn(i,j) * dlt,
* & 0.5*(util5(i,j)+util5(i-1,j))
* endif !debug
endif !iu
enddo !i
enddo !j
c
mn = nl
c
c --- v momentum equation, 2nd
c --- rhs: pbavg+, ubavg+, pvtrop+
c --- lhs: vbavg
c
margin = margin - 1
c
!$OMP PARALLEL DO PRIVATE(j,i,vtndcy)
!$OMP& SCHEDULE(STATIC,jblk)
do j=1-margin,jj+margin
do i=1-margin,ii+margin
if (SEA_V) then
vtndcy=-thref*(pbavg(i,j,nl)-pbavg(i,j-1,nl))*scvyi(i,j)-
& (gslpr(i,j) -gslpr(i,j-1) )*scvyi(i,j)-
& ((ubavg(i, j ,mn)*depthu(i, j )
& +ubavg(i+1,j ,mn)*depthu(i+1,j ))+
& (ubavg(i, j-1,mn)*depthu(i, j-1)
& +ubavg(i+1,j-1,mn)*depthu(i+1,j-1)))*
& (0.125*(pvtrop(i,j)+pvtrop(i+1,j)))
c
vbavg(i,j,nl)=
& ((1.-wblpf)*vbavg(i,j,ml)+
& wblpf *vbavg(i,j,nl) )+
& (1.+wblpf)*dlt*(vtndcy+vtotn(i,j))+
& 0.5*(util6(i,j)+util6(i,j-1))
c
* if (ldebug_barotp .and. i.eq.itest.and.j.eq.jtest) then
* write (lp,'(i9,2i5,i3,3x,a,7g15.6)')
* & nstep,i+i0,j+j0,lll,
* & 'v_old,v_new,p_grad,m_grad,corio,v_star,drag =',
* & vbavg(i,j,ml),vbavg(i,j,nl),
* & -thref*(pbavg(i,j,nl)-pbavg(i,j-1,nl))*scvyi(i,j)*dlt,
* & -(gslpr(i,j) -gslpr(i,j-1) )*scvyi(i,j)*dlt,
* & -(ubavg(i, j ,mn)*depthu(i,j )
* & +ubavg(i+1,j ,mn)*depthu(i+1,j )
* & +ubavg(i, j-1,mn)*depthu(i,j-1)
* & +ubavg(i+1,j-1,mn)*depthu(i+1,j-1))
* & *(pvtrop(i,j)+pvtrop(i+1,j))
* & *.125 * dlt, vtotn(i,j) * dlt,
* & 0.5*(util6(i,j)+util6(i,j-1))
* endif !debug
endif !iv
enddo !i
enddo !j
c
* if (ldebug_barotp) then
* call xcsync(flush_lp)
* endif
c
#if ! defined(RELO)
if (lbflag.eq.1) then
call latbdp( nl)
elseif (lbflag.eq.3) then
call latbdf( nl,lll)
endif
#endif
if (lbflag.eq.2) then
call latbdt( nl,lll)
elseif (lbflag.eq.4) then
call latbdtf(nl,lll)
endif
c
if (lpipe .and. lpipe_barotp) then
call pipe_compare_sym1(
& pbavg(1-nbdy,1-nbdy,nl),ip,'barot+:pbavn')
call pipe_compare_sym2(
& ubavg(1-nbdy,1-nbdy,nl),iu,'barot+:ubavn',
& vbavg(1-nbdy,1-nbdy,nl),iv,'barot+:vbavn')
call pipe_compare_sym1(
& pbavg(1-nbdy,1-nbdy,ml),ip,'barot+:pbavm')
call pipe_compare_sym2(
& ubavg(1-nbdy,1-nbdy,ml),iu,'barot+:ubavm',
& vbavg(1-nbdy,1-nbdy,ml),iv,'barot+:vbavm')
endif
c
c --- even minor time step.
c
ml=3
nl=n
wblpf = wbaro !used for all subsequent time steps: lll=2,lstep1
c
c --- continuity equation
c
c --- rhs: pbavg, ubavg+, vbavg+
c --- lhs: pbavg
c
margin = mbdy - 1
c
!$OMP PARALLEL DO PRIVATE(j,i,pbudel,pbvdel,
!$OMP& ubp,vbp,d11,d12,d21,d22,q)
!$OMP& SCHEDULE(STATIC,jblk)
do j=1-margin,jj+margin
do i=1-margin,ii+margin
if (SEA_P) then
#if defined(STOKES)
c
c Barotropic Stokes flow included here
c
pbudel = (ubavg(i+1,j,ml)+usdbavg(i+1,j))*
& (depthu(i+1,j)*scuy(i+1,j))
& -(ubavg(i, j,ml)+usdbavg(i, j))*
& (depthu(i ,j)*scuy(i, j))
pbvdel = (vbavg(i,j+1,ml)+vsdbavg(i,j+1))*
& (depthv(i,j+1)*scvx(i,j+1))
& -(vbavg(i,j, ml)+vsdbavg(i,j ))*
& (depthv(i,j )*scvx(i,j ))
#else
pbudel = ubavg(i+1,j,ml)*(depthu(i+1,j)*scuy(i+1,j))
& -ubavg(i ,j,ml)*(depthu(i ,j)*scuy(i ,j))
pbvdel = vbavg(i,j+1,ml)*(depthv(i,j+1)*scvx(i,j+1))
& -vbavg(i,j ,ml)*(depthv(i,j )*scvx(i,j ))
#endif
pbavg(i,j,nl)=
& ((1.-wblpf)*pbavg(i,j,ml)+
& wblpf *pbavg(i,j,nl) )-
& (1.+wblpf)*dlt*(pbudel + pbvdel)*scp2i(i,j)
c
if (ldrag) then
c --- tidal drag tensor on p-grid:
c --- ub = ub - (dlt/H)*(t.11*ub + t.12*vb)
c --- vb = vb - (dlt/H)*(t.21*ub + t.22*vb)
c --- solve implicitly by inverting the matrix:
c --- 1+(dlt/H)*t.11 (dlt/H)*t.12
c --- (dlt/H)*t.21 1+(dlt/H)*t.22
c --- use depths (H) rather than onem*pbavg (h) for stability.
c
ubp = 0.5*(ubavg(i+1,j,nl)+ubavg(i,j,nl))
vbp = 0.5*(vbavg(i,j+1,nl)+vbavg(i,j,nl))
d11 = -dlt/depths(i,j) * drgten(1,1,i,j)
d12 = -dlt/depths(i,j) * drgten(1,2,i,j)
d21 = -dlt/depths(i,j) * drgten(2,1,i,j)
d22 = -dlt/depths(i,j) * drgten(2,2,i,j)
q = 1.0/((1.0-d11)*(1.0-d22)-d12*d21)
c --- set util5,util6 to the ubavg,vbavg drag increment
util5(i,j) = q*(ubp*(1.0-d22)+vbp*d12) - ubp
util6(i,j) = q*(ubp*d21+vbp*(1.0-d11)) - vbp
c --- add an explicit antidrag correction
* util5(i,j) = util5(i,j) - (d11*untide(i,j)+
* & d12*vntide(i,j) )
* util6(i,j) = util6(i,j) - (d21*untide(i,j)+
* & d22*vntide(i,j) )
c --- dissipation per m^2
displd(i,j) = displd(i,j) +
& (ubp*util5(i,j) + vbp*util6(i,j))*
& depths(i,j)*qthref/dlt
c
* if (ldebug_barotp .and. i.eq.itest.and.j.eq.jtest) then
* write (lp,'(i9,2i5,i3,3x,a,4g15.6)')
* & nstep,i+i0,j+j0,lll+1,
* & 'ubp,new,vbp,new =',
* & ubp,ubp+util5(i,j),
* & vbp,vbp+util6(i,j)
* endif !debug
else
util5(i,j) = 0.0
util6(i,j) = 0.0
endif !ldrag
endif !ip
enddo !i
enddo !j
c
mn=ml
c
c --- v momentum equation, 1st
c
c --- rhs: pbavg+, ubavg+, pvtrop+
c --- lhs: vbavg
c
margin = margin - 1
c
!$OMP PARALLEL DO PRIVATE(j,i,vtndcy)
!$OMP& SCHEDULE(STATIC,jblk)
do j=1-margin,jj+margin
do i=1-margin,ii+margin
if (SEA_V) then
vtndcy=-thref*(pbavg(i,j,nl)-pbavg(i,j-1,nl))*scvyi(i,j)-
& (gslpr(i,j) -gslpr(i,j-1) )*scvyi(i,j)-
& ((ubavg(i, j ,mn)*depthu(i, j )
& +ubavg(i+1,j ,mn)*depthu(i+1,j ))+
& (ubavg(i, j-1,mn)*depthu(i, j-1)
& +ubavg(i+1,j-1,mn)*depthu(i+1,j-1)))*
& (0.125*(pvtrop(i,j)+pvtrop(i+1,j)))
c
vbavg(i,j,nl)=
& ((1.-wblpf)*vbavg(i,j,ml)+
& wblpf *vbavg(i,j,nl))+
& (1.+wblpf)*dlt*(vtndcy+vtotn(i,j))+
& 0.5*(util6(i,j)+util6(i,j-1))
c
* if (ldebug_barotp .and. i.eq.itest.and.j.eq.jtest) then
* write (lp,'(i9,2i5,i3,3x,a,7g15.6)')
* & nstep,i+i0,j+j0,lll+1,
* & 'v_old,v_new,p_grad,m_grad,corio,v_star,drag =',
* & vbavg(i,j,ml),vbavg(i,j,nl),
* & -thref*(pbavg(i,j,nl)-pbavg(i,j-1,nl))*scvyi(i,j)*dlt,
* & -(gslpr(i,j) -gslpr(i,j-1) )*scvyi(i,j)*dlt,
* & -(ubavg(i, j ,mn)*depthu(i,j )
* & +ubavg(i+1,j ,mn)*depthu(i+1,j )
* & +ubavg(i, j-1,mn)*depthu(i,j-1)
* & +ubavg(i+1,j-1,mn)*depthu(i+1,j-1))
* & *(pvtrop(i,j)+pvtrop(i+1,j))
* & *.125 * dlt, vtotn(i,j) * dlt,
* & 0.5*(util6(i,j)+util6(i,j-1))
* endif !debug
endif !iv
enddo !i
enddo !j
c
mn=nl
c
c --- u momentum equation, 2nd
c
c --- rhs: pbavg+, vbavg+, pvtrop+
c --- lhs: ubavg
c
margin = margin - 1
c
!$OMP PARALLEL DO PRIVATE(j,i,utndcy)
!$OMP& SCHEDULE(STATIC,jblk)
do j=1-margin,jj+margin
do i=1-margin,ii+margin
if (SEA_U) then
utndcy=-thref*(pbavg(i,j,nl)-pbavg(i-1,j,nl))*scuxi(i,j)-
& (gslpr(i,j) -gslpr(i-1,j) )*scuxi(i,j)+
& ((vbavg(i ,j, mn)*depthv(i ,j)
& +vbavg(i ,j+1,mn)*depthv(i ,j+1))+
& (vbavg(i-1,j, mn)*depthv(i-1,j)
& +vbavg(i-1,j+1,mn)*depthv(i-1,j+1)))*
& (0.125*(pvtrop(i,j)+pvtrop(i,j+1)))
c
ubavg(i,j,nl)=
& ((1.-wblpf)*ubavg(i,j,ml)+
& wblpf *ubavg(i,j,nl) )+
& (1.+wblpf)*dlt*(utndcy+utotn(i,j))+
& 0.5*(util5(i,j)+util5(i-1,j))
c
* if (ldebug_barotp .and. i.eq.itest.and.j.eq.jtest) then
* write (lp,'(i9,2i5,i3,3x,a,7g15.6)')
* & nstep,i+i0,j+j0,lll+1,
* & 'u_old,u_new,p_grad,m_grad,corio,u_star,drag =',
* & ubavg(i,j,ml),ubavg(i,j,nl),
* & -thref*(pbavg(i,j,nl)-pbavg(i-1,j,nl))*scuxi(i,j)*dlt,
* & -(gslpr(i,j) -gslpr(i-1,j) )*scuxi(i,j)*dlt,
* & (vbavg(i ,j, mn)*depthv(i ,j)
* & +vbavg(i ,j+1,mn)*depthv(i ,j+1)
* & +vbavg(i-1,j, mn)*depthv(i-1,j)
* & +vbavg(i-1,j+1,mn)*depthv(i-1,j+1))
* & *(pvtrop(i,j)+pvtrop(i,j+1))
* & *.125 * dlt,utotn(i,j) * dlt,
* & 0.5*(util5(i,j)+util5(i-1,j))
* endif !debug
endif !iu
enddo !i
enddo !j
c
* if (ldebug_barotp) then
* call xcsync(flush_lp)
* endif
c
#if ! defined(RELO)
if (lbflag.eq.1) then
call latbdp( nl)
elseif (lbflag.eq.3) then
call latbdf( nl,lll+1)
endif
#endif
if (lbflag.eq.2) then
call latbdt( nl,lll+1)
elseif (lbflag.eq.4) then
call latbdtf(nl,lll+1)
endif
c
840 continue ! lll=1,lstep1,2
c
if (ldrag) then !disp_count updated in momtum
displd_mn(:,:) = displd_mn(:,:) + displd(:,:)/real(lstep1)
endif
c
if (lbflag.eq.1) then
c
c --- correct mean height.
c --- this should not be required - so there may be a bug in the bc.
c
!$OMP PARALLEL DO PRIVATE(j,i)
!$OMP& SCHEDULE(STATIC,jblk)
do j=1,jj
do i=1-margin,ii+margin
if (SEA_P) then
util1(i,j) = pbavg(i,j,n)*scp2(i,j)
endif !ip
enddo !i
enddo !j
call xcsum(sump, util1,ipa)
q = sump/area
c
c --- rhs: pbavg
c --- lhs: pbavg
c
margin = 0
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
pbavo(i,j) = pbavo(i,j) - q
pbavg(i,j,1) = pbavg(i,j,1) - q
pbavg(i,j,2) = pbavg(i,j,2) - q
pbavg(i,j,3) = pbavg(i,j,3) - q
endif !ip
enddo !i
enddo !j
endif
if (lpipe .and. lpipe_barotp) then
call pipe_compare(pbavg(1-nbdy,1-nbdy,1), ip,'barotp:pbav1')
call pipe_compare(pbavg(1-nbdy,1-nbdy,2), ip,'barotp:pbav2')
call pipe_compare(pbavg(1-nbdy,1-nbdy,3), ip,'barotp:pbav3')
endif
c
if (btrlfr .and. delt1.ne.baclin) then !not on very 1st time step
c --- Robert-Asselin time filter
!$OMP PARALLEL DO PRIVATE(j,i,q)
!$OMP& SCHEDULE(STATIC,jblk)
do j=1,jj
do i=1,ii
q = 0.5*ra2fac*( pbavo(i,j) + !t-1
& pbavg(i,j,n) - !t+1
& 2.0*pbavg(i,j,m) ) !t
pbavg(i,j,m) = pbavg(i,j,m) + q
q = 0.5*ra2fac*( ubavo(i,j) + !t-1
& ubavg(i,j,n) - !t+1
& 2.0*ubavg(i,j,m) ) !t
ubavg(i,j,m) = ubavg(i,j,m) + q
q = 0.5*ra2fac*( vbavo(i,j) + !t-1
& vbavg(i,j,n) - !t+1
& 2.0*vbavg(i,j,m) ) !t
vbavg(i,j,m) = vbavg(i,j,m) + q
enddo !i
enddo !j
endif !btrlfr & not on very 1st time step
c
return
end subroutine barotp
c
c> Revision history:
c>
c> Mar. 1995 - changed vertical velocity averaging interval from 10 cm to 1 m
c> (loops 33,35)
c> Mar. 1995 - changed order of loop nesting in loop 842
c> July 1997 - eliminated 3-D arrays -uold,vold- (used in time smoothing)
c> Aug. 1997 - transferred loops preceding loop 840 to momeq2.f
c> Jan. 2000 - added latbdp for lateral boundary ports
c> Aug. 2001 - two barotropic time steps per loop, for halo efficiency
c> Nov. 2006 - added lbflag==3 (latbdf) and thref_bt (mod_tides)
c> Nov. 2006 - removed thref_bt (and mod_tides)
c> Apr. 2007 - added btrlfr: leapfrog time step; see also momtum
c> Apr. 2010 - bugfixes for 1st time step and 1st miner time step
c> Apr 2011 - added Robert-Asselin filtering for btrlfr
c> Aug 2011 - reworked Robert-Asselin filtering for btrlfr
c> Mar. 2012 - added latbdtf for nesting with Flather b.c.'s.
c> Jan. 2013 - added tidal drag tensor
c> June 2013 - added lbflag==6 for latbdtc
c> Apr. 2014 - replace ip with ipa for mass sums
c> May 2014 - use land/sea masks (e.g. ip) to skip land
c> May 2014 - removed lbflag==6 for latbdtc
c> Apr. 2015 - added atmospheric pressure forcing