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mod_asselin.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
module mod_asselin
use mod_xc ! HYCOM communication interface
use mod_cb_arrays ! HYCOM saved arrays
use mod_pipe ! HYCOM debugging interface
!
implicit none
!
! --- module for HYCOM Robert-Asselin filter of scalar fields
!
private !! default is private
public :: asselin_save,asselin_filter
contains
subroutine asselin_save(m,n)
!
integer m,n
!
! --- save time level t-1 for Robert-Asselin filter
! --- dpo is initialized in cnuity
!
! --- on exit:
! --- otemp(:,:,:) = time step t-1
! --- osaln(:,:,:) = time step t-1
! --- oth3d(:,:,:) = time step t-1
! --- otracer(:,:,:,:) = time step t-1
!
! --- onetao(:,:, n) = time step t-1
! --- oneta( :,:, n) = time step t-1
! --- onetao(:,:, m) = time step t
! --- oneta( :,:, m) = time step t
!
integer i,j,k,ktr
!
!$OMP PARALLEL DO PRIVATE(j,i,k,ktr)
do j=1,jj
do i=1,ii
if (SEA_P) then
oneta( i,j,n) = 1.0 + pbavg(i,j,n)/pbot(i,j) !t-1
oneta( i,j,m) = 1.0 + pbavg(i,j,m)/pbot(i,j) !t
onetao(i,j,n) = oneta( i,j,n)
onetao(i,j,m) = oneta( i,j,m)
endif
enddo !i
do k= 1,kk
do i=1,ii
otemp(i,j,k) = temp(i,j,k,n)
osaln(i,j,k) = saln(i,j,k,n)
oth3d(i,j,k) = th3d(i,j,k,n)
do ktr= 1,ntracr
otracer(i,j,k,ktr) = tracer(i,j,k,n,ktr)
enddo !ktr
enddo !i
enddo !k
if (mxlmy) then
do k= 1,kk
do i=1,ii
oq2(i,j,k) = q2(i,j,k,n)
oq2l(i,j,k) = q2l(i,j,k,n)
enddo !i
enddo !k
endif !mxkmy
enddo !j
!
call xctilr(oneta( 1-nbdy,1-nbdy,1),1,2, 6,6, halo_ps)
call xctilr(onetao(1-nbdy,1-nbdy,1),1,2, 6,6, halo_ps)
!
return
end subroutine asselin_save
subroutine asselin_filter(m,n)
!
integer m,n
!
! --- Apply Robert-Asselin filter
!
logical, parameter :: lpipe_asselin=.false. !extra checking (when pipe on)
logical, parameter :: ldebug_asselin=.false. !debugging, usually false
!
real, parameter :: onezm=9806.e-20 !zepto-m, insignificant thickness
!
logical latemp,lath3d
integer i,j,k,ktr,margin
real q,dpsold,dpsmid,dpsnew, &
dpold,dpmid,dpmidn,dpnew,qdpmidn,smin
double precision ssum(4),s1(4)
!
character*12 text
!
# include "stmt_fns.h"
!
margin = 0 !at end of time step
!
if (ldebug_asselin) then
ssum(1:4) = 0.0d0
endif !debug
!
!$OMP PARALLEL DO PRIVATE(j,k,i,ktr,dpsold,dpsmid,dpsnew,q, &
!$OMP dpold,dpmid,dpmidn,dpnew,qdpmidn,smin) &
!$OMP SCHEDULE(STATIC,jblk)
do j=1-margin,jj+margin
do i=1-margin,ii+margin
if (SEA_P) then
oneta(i,j,n) = 1.0 + pbavg(i,j,n)/pbot(i,j) !t+1
oneta(i,j,m) = 1.0 + pbavg(i,j,m)/pbot(i,j) !t with RA
endif !ip
enddo !i
do k= 1,kk
latemp = k.le.nhybrd .and. advflg.eq.0 ! advect temp
lath3d = (k.le.nhybrd .and. advflg.eq.1) .or. &
(k.eq.1 .and. isopyc ) ! advect th3d
do i=1-margin,ii+margin
if (SEA_P) then
!
! --- Robert-Asselin time filter of scalar fields
! --- Note that this is smoothing oneta * dp * scalar
!
dpold = dpo(i,j,k,n)*onetao(i,j,n) !t-1
dpmid = dpo(i,j,k,m)*onetao(i,j,m) !t
dpnew = dp( i,j,k,n)*oneta( i,j,n) !t+1
q = 0.5*ra2fac*(dpold+dpnew-2.0*dpmid)
dpmidn = dpmid + q
dp(i,j,k,m) = dpmidn/oneta(i,j,m) !t with RA
if (dpmidn.gt.onezm) then !effectively non-zero
if (ldebug_asselin .and. i.eq.itest &
.and. j.eq.jtest) then
ssum(1) = ssum(1) + dpold*osaln(i,j,k)
ssum(2) = ssum(2) + dpmid* saln(i,j,k,m)
ssum(3) = ssum(3) + dpnew* saln(i,j,k,n)
endif !debug
!
qdpmidn = 1.0/dpmidn
!
! --- version that exactly conserves constant salinity
smin = min( osaln(i,j,k), &
saln(i,j,k,m), &
saln(i,j,k,n) )
dpsold = dpold*(osaln(i,j,k) -smin) !t-1
dpsmid = dpmid*( saln(i,j,k,m)-smin) !t
dpsnew = dpnew*( saln(i,j,k,n)-smin) !t+1
q = 0.5*ra2fac*(dpsold+dpsnew-2.0*dpsmid)
saln(i,j,k,m)= smin + (dpsmid + q) * qdpmidn !t with RA
!
if (ldebug_asselin .and. i.eq.itest &
.and. j.eq.jtest) then
ssum(4) = ssum(4) + dpmidn*saln(i,j,k,m)
! write(6,*) k,ssum(4)*qonem
if (k.eq.1) then
! --- normalize by onem, layer 1 is often 1 m thick
s1(1) = ssum(1)/onem
s1(2) = ssum(2)/onem
s1(3) = ssum(3)/onem
s1(4) = ssum(4)/onem
write(lp,'(a,i9,1p4e16.8)') &
'asseln1:',nstep,s1(1),s1(2),s1(4),s1(3)
endif
endif !debug
!
if (latemp) then
smin = min( otemp(i,j,k), &
temp(i,j,k,m), &
temp(i,j,k,n) )
dpsold = dpold*(otemp(i,j,k) -smin) !t-1
dpsmid = dpmid*( temp(i,j,k,m)-smin) !t
dpsnew = dpnew*( temp(i,j,k,n)-smin) !t+1
q = 0.5*ra2fac*(dpsold+dpsnew-2.0*dpsmid)
temp(i,j,k,m) = smin + (dpsmid + q) * qdpmidn
! --- update dependent thermodynamic variable
th3d(i,j,k,m) = sig(temp(i,j,k,m), &
saln(i,j,k,m))-thbase
elseif (lath3d) then
smin = min( oth3d(i,j,k), &
th3d(i,j,k,m), &
th3d(i,j,k,n) )
dpsold = dpold*(oth3d(i,j,k) -smin) !t-1
dpsmid = dpmid*( th3d(i,j,k,m)-smin) !t
dpsnew = dpnew*( th3d(i,j,k,n)-smin) !t+1
q = 0.5*ra2fac*(dpsold+dpsnew-2.0*dpsmid)
th3d(i,j,k,m) = smin + (dpsmid + q) * qdpmidn
! --- update dependent thermodynamic variable
temp(i,j,k,m) = tofsig(th3d(i,j,k,m)+thbase, &
saln(i,j,k,m))
else ! exactly isopycnal layer
th3d(i,j,k,m) = theta(i,j,k)
! --- update dependent thermodynamic variable
temp(i,j,k,m) = tofsig(th3d(i,j,k,m)+thbase, &
saln(i,j,k,m))
endif
do ktr= 1,ntracr
! --- non-negative version that exactly conserves constant tracers
smin = min( otracer(i,j,k, ktr), &
tracer(i,j,k,m,ktr), &
tracer(i,j,k,n,ktr) )
dpsold = dpold*(otracer(i,j,k, ktr) - smin) !>=0
dpsmid = dpmid*( tracer(i,j,k,m,ktr) - smin) !>=0
dpsnew = dpnew*( tracer(i,j,k,n,ktr) - smin) !>=0
q = 0.5*ra2fac*(dpsold+dpsnew-2.0*dpsmid)
!diag if (i.eq.itest.and.j.eq.jtest.and.ktr.eq.1) then
!diag write(lp,'(a,i3,1p3g15.6)') &
!diag 'RA dpo:',k,dpold*qonem,dpmid*qonem,dpnew*qonem
!diag write(lp,'(a,i3,3f15.6)') &
!diag 'RA tro:',k,otracer(i,j,k, ktr), &
!diag tracer(i,j,k,m,ktr), &
!diag tracer(i,j,k,n,ktr)
!diag write(lp,'(a,i3,1p2g15.6)') &
!diag 'RA dpm:',k,dpmid*qonem, &
!diag dp(i,j,k,m)*qonem
!diag write(lp,'(a,i3,2f15.6)') &
!diag 'RA trm:',k,tracer(i,j,k,m,ktr), &
!diag smin + (dpsmid + q) * qdpmidn
!diag call flush(lp)
!diag endif !debug
tracer(i,j,k,m,ktr) = smin + (dpsmid + q) * qdpmidn
enddo !ktr
if (mxlmy) then
dpsold = dpold*oq2(i,j,k)
dpsmid = dpmid* q2(i,j,k,m)
dpsnew = dpnew* q2(i,j,k,n)
q = 0.5*ra2fac*(dpsold+dpsnew-2.0*dpsmid)
q2(i,j,k,m) = (dpsmid + q) * qdpmidn
dpsold = dpold*oq2l(i,j,k)
dpsmid = dpmid* q2l(i,j,k,m)
dpsnew = dpnew* q2l(i,j,k,n)
q = 0.5*ra2fac*(dpsold+dpsnew-2.0*dpsmid)
q2l(i,j,k,m) = (dpsmid + q) * qdpmidn
endif !mxlmy
endif !effectively non-zero
!
if (ldebug_asselin .and. k.eq.kk .and. &
i.eq.itest .and. j.eq.jtest ) then
! --- normalize by initial depth
ssum(1) = ssum(1)/pbot(i,j)
ssum(2) = ssum(2)/pbot(i,j)
ssum(3) = ssum(3)/pbot(i,j)
ssum(4) = ssum(4)/pbot(i,j)
write(lp,'(a,i9,1p4e16.8)') &
'asselin:',nstep,ssum(1),ssum(2),ssum(4),ssum(3)
endif !debug
!
endif !ip
enddo !i
enddo !k
enddo !j
!$OMP END PARALLEL DO
!
if (lpipe .and. lpipe_asselin) then
! --- compare two model runs.
do k= 1,kk
write (text,'(a9,i3)') 'otemp k=',k
call pipe_compare_sym1(otemp(1-nbdy,1-nbdy,k), ip,text)
write (text,'(a9,i3)') 'temp.m k=',k
call pipe_compare_sym1( temp(1-nbdy,1-nbdy,k,m),ip,text)
write (text,'(a9,i3)') 'temp.n k=',k
call pipe_compare_sym1( temp(1-nbdy,1-nbdy,k,n),ip,text)
write (text,'(a9,i3)') 'osaln k=',k
call pipe_compare_sym1(osaln(1-nbdy,1-nbdy,k), ip,text)
write (text,'(a9,i3)') 'saln.m k=',k
call pipe_compare_sym1( saln(1-nbdy,1-nbdy,k,m),ip,text)
write (text,'(a9,i3)') 'saln.n k=',k
call pipe_compare_sym1( saln(1-nbdy,1-nbdy,k,n),ip,text)
write (text,'(a9,i3)') 'oth3d k=',k
call pipe_compare_sym1(oth3d(1-nbdy,1-nbdy,k), ip,text)
write (text,'(a9,i3)') 'th3d.m k=',k
call pipe_compare_sym1( th3d(1-nbdy,1-nbdy,k,m),ip,text)
write (text,'(a9,i3)') 'th3d.n k=',k
call pipe_compare_sym1( th3d(1-nbdy,1-nbdy,k,n),ip,text)
enddo !k
endif
!
! call pipe_comparall(m,n, 'asseln, step')
!
return
end subroutine asselin_filter
end module mod_asselin
!
!
!> Revision history:
!>
!> Aug. 2018 - 1st version
!> Feb. 2019 - replaced onetai by 1.0