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mod_tides.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_tides
use mod_xc ! HYCOM communication interface
!
implicit none
!
! --- HYCOM tides
!
integer, parameter, public :: ncon=8 !number of tidal consituents
!
logical, parameter, private :: debug_tides=.false. !usually .false.
!
integer, save, public :: &
tidflg, & ! 0:notide,1:bdy.;2:body;3:body&bdy.
tidcon, & ! tidal elevations:
! 1 digit per constituent (Q1K2P1N2O1K1S2M2), 0=off,1=on
cbtidc, & ! tidal velocities:
! 1 digit per constituent (Q1K2P1N2O1K1S2M2), 0=off,1=on
tidein, & ! tide input flag: 0=no; 1=yes; 2=sal
tiddrg, & ! tidal drag flag: 0:no; -1,1=scalar; 2=tensor
tidstr, & ! tidal streaming filter flag: 0:no; 1=yes
tidnud, & ! tide nudging flag (0=off;2=49hr;3=filter)
mhrly, & ! number of valid hourly hbaro samples (0 to 49)
nhrly ! number of valid hourly velocity samples (0 to 49)
!
logical, save, public :: &
tidgen ! generic time (don't correct tides for actual year)
!
real*8, save, public :: &
ramp_orig, & ! tide ramp origin (model day)
nudg_orig, & ! nudging origin (model day)
time_8 ! model time for tides
!
real, save, public :: &
tidsal, & ! scalar self attraction and loading factor
ramp_time, & ! tide ramping time (days)
nudg_time, & ! nudging ramping time (days)
nudfbw(4) ! M2,S2,K1,O1 nudging streaming filter bandwidth
!
real, allocatable, dimension(:,:), &
save, public :: &
salfac, & ! spatialy varying "scalar" SAL factor
hnudge, & ! spatialy varying h-tide nudging coefficent (1/s)
etide, & ! body tide, in m
htide, & ! observed hbaro tide, in m
utide, & ! observed ubaro tide, in m/s
vtide, & ! observed vbaro tide, in m/s
hntide, & ! de-tided hbaro, filtered from hhrly
untide, & ! de-tided u-velocity, filtered from uhrly
vntide ! de-tided u-velocity, filtered from vhrly
!
real, allocatable, dimension(:,:,:), &
save, public :: &
uvf, & ! velocity for u streaming filter
usf, & ! scalar for u streaming filter
vvf, & ! velocity for v streaming filter
vsf ! scalar for v streaming filter
!
real, allocatable, dimension(:,:,:), &
save, public :: &
hhrly, & ! hourly hbaro samples
uhrly, & ! hourly u-velocity samples
vhrly ! hourly v-velocity samples
!
logical, save, private :: &
tide_on(ncon), & !expanded tidcon
tidv_on(ncon) !expanded cbtidc
!
real, allocatable, dimension(:,:,:), &
save, private :: &
atidh, & ! real complex amplitude coefficents for obs. h-tide
btidh, & ! imaginary complex amplitude coefficents for obs. h-tide
atidu, & ! real complex amplitude coefficents for obs. u-tide
btidu, & ! imaginary complex amplitude coefficents for obs. u-tide
atidv, & ! real complex amplitude coefficents for obs. v-tide
btidv, & ! imaginary complex amplitude coefficents for obs. v-tide
atide, & ! real complex amplitude coefficents for body tide
btide, & ! imaginary complex amplitude coefficents for body tide
etidei ! input body tide, in m
!
real, save, private :: &
wt0, &
wt1
!
real*8, save, private :: &
amp(ncon),omega(ncon),timeref, &
pu8(ncon),pf8(ncon),arg8(ncon),time_mjd
!
contains
!
!
subroutine tides_set(flag)
use mod_cb_arrays ! HYCOM saved arrays
implicit none
!
integer flag !0 on initial call only
!
! --- body force or observed velocity tide setup
!
integer iyear,idyold,iday,ihour,inty
integer i,ihr,j,k,nleap,tidcon1
real*8 t,h0,s0,p0,db,year8
real*8 rad
real alpha2q1,alpha2o1,alpha2p1,alpha2k1
real alpha2m2,alpha2s2,alpha2n2,alpha2k2
real diur_cos,diur_sin,semi_cos,semi_sin
data rad/ 0.0174532925199432d0 /
save idyold,rad
!
if (tidflg.ne.0) then
!
if (flag.eq.0) then
if (tidflg.gt.0) then
! expand tidcon
tidcon1 = tidcon
do i =1,ncon
tidv_on(i) = 0
tide_on(i) = mod(tidcon1,10) .eq. 1
tidcon1 = tidcon1/10 ! shift by one decimal digit
enddo
else !tidflg==-1
! expand cbtidc
tidcon1 = cbtidc
do i =1,ncon
tide_on(i) = 0
tidv_on(i) = mod(tidcon1,10) .eq. 1
tidcon1 = tidcon1/10 ! shift by one decimal digit
enddo
endif !tidflg
idyold=-1 !.ne.iday
endif
!
if (.not.tidgen .and. yrflag.eq.3) then
call forday(time_8,yrflag,iyear,iday,ihour)
if (flag.eq.0) then
idyold=iday-1 !.ne.iday
endif
if (.false. .and. mnproc.eq.1) then
write(lp,'(a,f16.9,2i4)') 'tides_set: ',time_8,iday,idyold
endif !1st tile
call xcsync(flush_lp)
! --- update once per model day
if (iday.ne.idyold) then !.or. flag.eq.0
idyold=iday
!
! time_mjd is in modified julian days, with zero on Nov 17 0:00 1858
! timeref is in HYCOM julian days, with zero on Dec 31 0:00 1900
!
nleap = (iyear-1901)/4
if(iyear.lt.1900)then
inty = (iyear-1857)/4
else
inty = ((iyear-1857)/4)-1 !there was no leap year in 1900
endif
!
timeref = 365.d0*(iyear-1901) + nleap &
+ iday
time_mjd = 365.d0*(iyear-1858) + inty &
- (31+28+31+30+31+30+31+31+30+31+17) &
+ iday
!
! if (mnproc.eq.1) then
! write (lp,*) 'tides_set: calling tides_nodal for a new day'
! endif !1st tile
! call xcsync(flush_lp)
call tides_nodal
! if (mnproc.eq.1) then
! year8 = iyear + (iday - 1)/365.25d0
! write(lp,'(a,f16.9,8f8.4)') '#arg8 =',year8, arg8(1:8)
! write(lp,'(a,f16.9,8f8.4)') '#pu8 =',year8, pu8(1:8)
! write(lp,'(a,f16.9,8f8.4)') '#pf8 =',timeref,pf8(1:8)
! endif !1st tile
! call xcsync(flush_lp)
endif !iday.ne.idyold (.or. flag.eq.0)
endif !.not.tidgen & yrflag.eq.3
!
if (flag.eq.0) then
!
! --- amp is in m, and omega in radians/day.
!
amp ( 3)= 0.1424079984D+00
omega( 3)= 0.6300387913D+01 ! K1
amp ( 4)= 0.1012659967D+00
omega( 4)= 0.5840444971D+01 ! O1
amp ( 6)= 0.4712900147D-01
omega( 6)= 0.6265982327D+01 ! P1
amp ( 8)= 0.1938699931D-01
omega( 8)= 0.5612418128D+01 ! Q1
amp ( 1)= 0.2441020012D+00
omega( 1)= 0.1214083326D+02 ! M2
amp ( 2)= 0.1135720015D+00
omega( 2)= 0.1256637061D+02 ! S2
amp ( 5)= 0.4673499987D-01
omega( 5)= 0.1191280642D+02 ! N2
amp ( 7)= 0.3087499924D-01
omega( 7)= 0.1260077583D+02 ! K2
!
if (tidflg.gt.0) then
if (mnproc.eq.1) then
write (lp,*) ' now initializing tidal body forcing ...'
write (lp,'(/a,i8.8/)') ' Q1K2P1N2O1K1S2M2 = ',tidcon
endif !1st tile
call xcsync(flush_lp)
!
allocate( salfac(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy) )
call mem_stat_add( 1*(idm+2*nbdy)*(jdm+2*nbdy) )
salfac(:,:) = 0.0
!
if (tidein.eq.1) then
!
! --- read in tidal forcing in time space, rarely used
!
allocate( etidei(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy,2), &
etide(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy) )
call mem_stat_add( 3*(idm+2*nbdy)*(jdm+2*nbdy) )
etidei(:,:,:) = 0.0
etide(:,:) = 0.0
wt0 = -99.0
wt1 = -99.0
call tides_forfun(time_8)
else
if (tidnud.ne.0) then
! input observed h tidal complex amplitudes
allocate( hnudge(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy) )
call mem_stat_add( 1*(idm+2*nbdy)*(jdm+2*nbdy) )
!
hnudge(:,:) = 0.0
!
allocate( atidh(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy,ncon), &
btidh(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy,ncon), &
htide(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy) )
call mem_stat_add( 2*(idm+2*nbdy)*(jdm+2*nbdy)*ncon )
call mem_stat_add( 1*(idm+2*nbdy)*(jdm+2*nbdy) )
!
atidh(:,:,:) = 0.0
btidh(:,:,:) = 0.0
htide(:,:) = 0.0
!
call tides_forfun_obsh
endif !nudging
!
allocate( atide(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy,ncon), &
btide(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy,ncon), &
etide(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy) )
call mem_stat_add( 2*(idm+2*nbdy)*(jdm+2*nbdy)*ncon )
call mem_stat_add( (idm+2*nbdy)*(jdm+2*nbdy) )
!
etide(i,j) = 0.0
!
if (tidein.eq.2) then
call tides_forfun_sal !input tidal SAL complex amplitudes
! --- subtract SAL forcing
atide(:,:,:) = -atide(:,:,:)
btide(:,:,:) = -btide(:,:,:)
else !scalar SAL
atide(:,:,:) = 0.0
btide(:,:,:) = 0.0
endif
!
! --- alpha2=(1+k-h)g; Love numbers k,h taken from
! --- Foreman et al. JGR,98,2509-2532,1993
alpha2q1=1.0+0.298-0.603
alpha2o1=1.0+0.298-0.603
alpha2p1=1.0+0.287-0.581
alpha2k1=1.0+0.256-0.520
alpha2m2=1.0+0.302-0.609
alpha2s2=alpha2m2
alpha2n2=alpha2m2
alpha2k2=alpha2m2
!$OMP PARALLEL DO PRIVATE(j,i,semi_cos,semi_sin,diur_cos,diur_sin) &
!$OMP SCHEDULE(STATIC,jblk)
do j= 1-nbdy,jj+nbdy
do i= 1-nbdy,ii+nbdy
semi_cos=cos(rad*plat(i,j))**2*cos(rad*2*plon(i,j))
semi_sin=cos(rad*plat(i,j))**2*sin(rad*2*plon(i,j))
diur_cos=sin(2.*rad*plat(i,j))*cos(rad*plon(i,j))
diur_sin=sin(2.*rad*plat(i,j))*sin(rad*plon(i,j))
!
atide(i,j,3)=atide(i,j,3)+amp(3)*alpha2k1*diur_cos
btide(i,j,3)=btide(i,j,3)+amp(3)*alpha2k1*diur_sin
atide(i,j,4)=atide(i,j,4)+amp(4)*alpha2o1*diur_cos
btide(i,j,4)=btide(i,j,4)+amp(4)*alpha2o1*diur_sin
atide(i,j,6)=atide(i,j,6)+amp(6)*alpha2p1*diur_cos
btide(i,j,6)=btide(i,j,6)+amp(6)*alpha2p1*diur_sin
atide(i,j,8)=atide(i,j,8)+amp(8)*alpha2q1*diur_cos
btide(i,j,8)=btide(i,j,8)+amp(8)*alpha2q1*diur_sin
!
atide(i,j,1)=atide(i,j,1)+amp(1)*alpha2m2*semi_cos
btide(i,j,1)=btide(i,j,1)+amp(1)*alpha2m2*semi_sin
atide(i,j,2)=atide(i,j,2)+amp(2)*alpha2s2*semi_cos
btide(i,j,2)=btide(i,j,2)+amp(2)*alpha2s2*semi_sin
atide(i,j,5)=atide(i,j,5)+amp(5)*alpha2n2*semi_cos
btide(i,j,5)=btide(i,j,5)+amp(5)*alpha2n2*semi_sin
atide(i,j,7)=atide(i,j,7)+amp(7)*alpha2k2*semi_cos
btide(i,j,7)=btide(i,j,7)+amp(7)*alpha2k2*semi_sin
enddo !i
enddo !j
!
call xctilr(atide(1-nbdy,1-nbdy,1),1,ncon, nbdy,nbdy, halo_ps)
call xctilr(btide(1-nbdy,1-nbdy,1),1,ncon, nbdy,nbdy, halo_ps)
endif !tidein.eq.1:else
!
if (mnproc.eq.1) then
write (lp,*) ' ...finished initializing tidal body forcing'
endif !1st tile
call xcsync(flush_lp)
!23456789012
else !tidflg.eq.-1
if (mnproc.eq.1) then
write (lp,*) ' now initializing observed tidal velocities ...'
write (lp,'(/a,i8.8/)') ' Q1K2P1N2O1K1S2M2 = ',cbtidc
endif !1st tile
call xcsync(flush_lp)
!
allocate( atidu(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy,ncon), &
btidu(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy,ncon), &
atidv(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy,ncon), &
btidv(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy,ncon), &
utide(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy), &
vtide(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy) )
call mem_stat_add( 4*(idm+2*nbdy)*(jdm+2*nbdy)*ncon )
call mem_stat_add( 2*(idm+2*nbdy)*(jdm+2*nbdy) )
!
utide(:,:) = 0.0
vtide(:,:) = 0.0
!
call tides_forfun_obsv
!
if (mnproc.eq.1) then
write (lp,*) ' ...finished initializing observed tidal velocities ...'
endif !1st tile
call xcsync(flush_lp)
endif !tidflg>0:tidflg<0
!
endif !flag.eq.0
!
endif !tidflg.ne.0
!
if (flag.eq.0) then
if (tidnud.eq.2) then
if (.not.allocated(hhrly)) then
! --- restart_in did not input hhrly
allocate( hhrly(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy,49), &
hntide(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy) )
call mem_stat_add( 50*(idm+2*nbdy)*(jdm+2*nbdy) )
do j= 1-nbdy,jj+nbdy
do i= 1-nbdy,ii+nbdy
do ihr= 1,49
hhrly(i,j,ihr) = 0.0
enddo !ihr
enddo !i
enddo !j
mhrly = 0
endif !.not.allocated
call tides_dehtide(1, .false.) !initialise 49-hour filter
endif !nudging
!
if (tidstr.eq.0) then
if (.not.allocated(uhrly)) then
! --- restart_in did not input [uv]hrly
allocate( uhrly(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy,49), &
vhrly(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy,49), &
untide(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy), &
vntide(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy) )
call mem_stat_add( 2*(idm+2*nbdy)*(jdm+2*nbdy)*50 )
do j= 1-nbdy,jj+nbdy
do i= 1-nbdy,ii+nbdy
do ihr= 1,49
uhrly(i,j,ihr) = 0.0
vhrly(i,j,ihr) = 0.0
enddo !ihr
enddo !i
enddo !j
nhrly = 0
endif !.not.allocated
call tides_detide(1, .false.) !initialise 49-hour filter
else !tidstr.eq.1
if (.not.allocated(uvf)) then
! --- restart_in did not input streaming bottom velocity filters
if (mnproc.eq.1) then
write (lp,*) ' now initializing tidal streaming filter ...'
endif !1st tile
call xcsync(flush_lp)
allocate( uvf(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy,4), &
usf(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy,4), &
vvf(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy,4), &
vsf(1-nbdy:idm+nbdy,1-nbdy:jdm+nbdy,4) )
call mem_stat_add( 16*(idm+2*nbdy)*(jdm+2*nbdy) )
uvf(:,:,:) = 0.0
usf(:,:,:) = 0.0
vvf(:,:,:) = 0.0
vsf(:,:,:) = 0.0
if (mnproc.eq.1) then
write (lp,*) ' ...finished initializing tidal streaming filter ...'
endif !1st tile
call xcsync(flush_lp)
endif !.not.allocated
endif !.not.tidstr:else
endif !flag.eq.0
!
return
end subroutine tides_set
!
!
subroutine tides_detide(n, update)
use mod_cb_arrays ! HYCOM saved arrays
implicit none
!
integer n !time level index
logical update !.true. -> update hrly filter; .false. -> initialization
!
! --- form 49-hour filter
!
integer i,ihr,j,k
real pthkbl,pbop,phi,plo,ubot,vbot,fc
real*8 usum,vsum,fsum
!
real fhrly(49)
save fhrly
!
! --- a diurnal low pass filter,
! --- covering 49 hours and lagged by 24 hours.
!
! --- the filter is the convolution of a 21 hr (10 point) 2nd-order
! --- Savitzky-Golay smoothing filter and a 24.842 hr boxcar filter.
! --- it passes 0.02% of semi-diurnal and 3.2% of diurnal tides
! --- (1.2% of the total tides).
!
real f2hrly(0:24)
save f2hrly
data f2hrly / 9.297873 , &
9.297873 , 9.338932 , 9.835878 , &
10.04647 , 10.00111 , 9.730179 , &
9.264084 , 8.633219 , 7.867976 , &
6.998751 , 6.055939 , 5.069937 , &
4.071137 , 3.089936 , 2.156729 , &
1.301912 , 0.5558784,-5.0975680E-02, &
-0.4882553,-0.7255653,-0.7325106 , &
-0.4786960, 0.0 , 0.0 /
!
if (tidstr.ne.0) then
return ! streaming filter does not need detided fields
endif
!
if (update) then
! --- calculate new hrly fields
if (thkdrg.ne.0.0) then
! --- average over thkdrg from the bottom on u and v grids
!$OMP PARALLEL DO PRIVATE(j,i,k, &
!$OMP pthkbl,pbop,phi,plo,ubot,vbot) &
!$OMP SCHEDULE(STATIC,jblk)
do j=1,jj
do i=1,ii
util5(i,j)=0.0 !probably not needed
util6(i,j)=0.0 !probably not needed
enddo !i
do i=1,ii
if (SEA_U) then
pthkbl=thkdrg*onem !thknss of bot. b.l.
pbop=depthu(i,j)-pthkbl !top of bot. b.l.
phi =max(0.5*(p(i,j,1)+p(i-1,j,1)),pbop)
ubot=0.0
do k=1,kk
plo =phi ! max(0.5*(p(i,j,k) +p(i-1,j,k)),pbop)
phi =max(min(depthu(i,j),0.5*(p(i,j,k+1)+p(i-1,j,k+1))), &
pbop)
ubot=ubot + u(i,j,k,n)*(phi-plo)
enddo !k
util5(i,j)=ubot/min(pthkbl,depthu(i,j)) + ubavg(i,j,n)
endif !ip
enddo !i
do i=1,ii
if (SEA_V) then
pthkbl=thkdrg*onem !thknss of bot. b.l.
pbop=depthv(i,j)-pthkbl !top of bot. b.l.
phi =max(0.5*(p(i,j,1)+p(i,j-1,1)),pbop)
vbot=0.0
do k=1,kk
plo =phi ! max(0.5*(p(i,j,k) +p(i,j-1,k)),pbop)
phi =max(min(depthv(i,j),0.5*(p(i,j,k+1)+p(i,j-1,k+1))), &
pbop)
vbot=vbot + v(i,j,k,n)*(phi-plo)
enddo !k
util6(i,j)=vbot/min(pthkbl,depthv(i,j)) + vbavg(i,j,n)
endif !ip
enddo !i
enddo !j
call xctilr(util5,1,1, nbdy,nbdy, halo_uv)
call xctilr(util6,1,1, nbdy,nbdy, halo_vv)
else !thkdrg.eq.0.0
! --- barotropic velocity on p-grid
!$OMP PARALLEL DO PRIVATE(j,i) &
!$OMP SCHEDULE(STATIC,jblk)
do j=1,jj
do i=1,ii
util5(i,j)=0.0 !probably not needed
util6(i,j)=0.0 !probably not needed
enddo !i
do i=1,ii
if (SEA_P) then
util5(i,j) = 0.5*( ubavg(i,j,n) + ubavg(i+1,j,n) )
util6(i,j) = 0.5*( vbavg(i,j,n) + vbavg(i,j+1,n) )
endif !ip
enddo !i
enddo !j
call xctilr(util5,1,1, nbdy,nbdy, halo_pv)
call xctilr(util6,1,1, nbdy,nbdy, halo_pv)
endif
if (nhrly.eq.49) then
! --- shift fields one hour, save new hour, form 49-hour filter
do j= 1-nbdy,jj+nbdy
do i= 1-nbdy,ii+nbdy
usum = 0.0
vsum = 0.0
do ihr= 1,48
uhrly(i,j,ihr) = uhrly(i,j,ihr+1)
vhrly(i,j,ihr) = vhrly(i,j,ihr+1)
usum = usum + fhrly(ihr)*uhrly(i,j,ihr)
vsum = vsum + fhrly(ihr)*vhrly(i,j,ihr)
enddo !ihr
uhrly(i,j,49) = util5(i,j)
vhrly(i,j,49) = util6(i,j)
usum = usum + fhrly(49)*uhrly(i,j,49)
vsum = vsum + fhrly(49)*vhrly(i,j,49)
untide(i,j) = usum
vntide(i,j) = vsum
enddo !i
enddo !j
else
! --- save one more hour
nhrly = nhrly + 1
do j= 1-nbdy,jj+nbdy
do i= 1-nbdy,ii+nbdy
uhrly(i,j,nhrly) = util5(i,j)
vhrly(i,j,nhrly) = util6(i,j)
if (nhrly.eq.49) then
! --- form 49-hour filter
usum = fhrly(1)*uhrly(i,j,1)
vsum = fhrly(1)*vhrly(i,j,1)
do ihr= 2,49
usum = usum + fhrly(ihr)*uhrly(i,j,ihr)
vsum = vsum + fhrly(ihr)*vhrly(i,j,ihr)
enddo !ihr
untide(i,j) = usum
vntide(i,j) = vsum
else
! --- not enough hours for 49-hour filter yet
untide(i,j) = 0.0
vntide(i,j) = 0.0
endif !nhrly
enddo !i
enddo !j
endif !nhrly:else
else !.not.update -> initialize
! --- normalize the filter weights
fsum = f2hrly(0)
do ihr=1,24
fsum = fsum + 2.0*f2hrly(ihr)
enddo
fc = 1.0/fsum
fhrly(25) = fc*f2hrly(0)
do ihr=1,24
fhrly(25+ihr) = fc*f2hrly(ihr)
fhrly(25-ihr) = fc*f2hrly(ihr)
enddo
!
if (nhrly.eq.49) then
! --- form 49-hour filter, from restart input
do j= 1-nbdy,jj+nbdy
do i= 1-nbdy,ii+nbdy
usum = fhrly(1)*uhrly(i,j,1)
vsum = fhrly(1)*vhrly(i,j,1)
do ihr= 2,49
usum = usum + fhrly(ihr)*uhrly(i,j,ihr)
vsum = vsum + fhrly(ihr)*vhrly(i,j,ihr)
enddo !ihr
untide(i,j) = usum
vntide(i,j) = vsum
enddo !i
enddo !j
else
! --- not enough hours for 49-hour filter from restart input
do j= 1-nbdy,jj+nbdy
do i= 1-nbdy,ii+nbdy
untide(i,j) = 0.0
vntide(i,j) = 0.0
enddo !i
enddo !j
endif !nhrly:else
endif !update:initialize
!
if (debug_tides) then
if (itest.gt.0 .and. jtest.gt.0) then
write (lp,'(i9,2i5,3x,a,i2.2,a,2f10.6)') &
nstep,itest+i0,jtest+j0, &
' hr',nhrly,' = ', &
uhrly(itest,jtest,nhrly), vhrly(itest,jtest,nhrly)
write (lp,'(i9,2i5,3x,a,2f10.6)') &
nstep,itest+i0,jtest+j0, &
'ntide = ', &
untide(itest,jtest), vntide(itest,jtest)
endif
call xcsync(flush_lp)
endif !debug_tides
return
end subroutine tides_detide
!
!
subroutine tides_dehtide(n, update)
use mod_cb_arrays ! HYCOM saved arrays
implicit none
!
integer n !time level index
logical update !.true. -> update hrly filter; .false. -> initialization
!
! --- form 49-hour filter of pbaso
!
integer i,ihr,j,k
real fc
real*8 hsum,fsum
!
real fhrly(49)
save fhrly
!
! --- a diurnal low pass filter,
! --- covering 49 hours and lagged by 24 hours.
!
! --- the filter is the convolution of a 21 hr (10 point) 2nd-order
! --- Savitzky-Golay smoothing filter and a 24.842 hr boxcar filter.
! --- it passes 0.02% of semi-diurnal and 3.2% of diurnal tides
! --- (1.2% of the total tides).
!
real f2hrly(0:24)
save f2hrly
data f2hrly / 9.297873 , &
9.297873 , 9.338932 , 9.835878 , &
10.04647 , 10.00111 , 9.730179 , &
9.264084 , 8.633219 , 7.867976 , &
6.998751 , 6.055939 , 5.069937 , &
4.071137 , 3.089936 , 2.156729 , &
1.301912 , 0.5558784,-5.0975680E-02, &
-0.4882553,-0.7255653,-0.7325106 , &
-0.4786960, 0.0 , 0.0 /
!
if (update) then
! --- calculate new hrly fields
if (mhrly.eq.49) then
! --- shift fields one hour, save new hour, form 49-hour filter
do j= 1-nbdy,jj+nbdy
do i= 1-nbdy,ii+nbdy
hsum = 0.0
do ihr= 1,48
hhrly(i,j,ihr) = hhrly(i,j,ihr+1)
hsum = hsum + fhrly(ihr)*hhrly(i,j,ihr)
enddo !ihr
hhrly(i,j,49) = pbavg(i,j,n)
hsum = hsum + fhrly(49)*hhrly(i,j,49)
hntide(i,j) = hsum
enddo !i
enddo !j
else
! --- save one more hour
mhrly = mhrly + 1
do j= 1-nbdy,jj+nbdy
do i= 1-nbdy,ii+nbdy
hhrly(i,j,mhrly) = pbavg(i,j,n)
if (mhrly.eq.49) then
! --- form 49-hour filter
hsum = fhrly(1)*hhrly(i,j,1)
do ihr= 2,49
hsum = hsum + fhrly(ihr)*hhrly(i,j,ihr)
enddo !ihr
hntide(i,j) = hsum
else
! --- not enough hours for 49-hour filter yet
hntide(i,j) = 0.0
endif !mhrly
enddo !i
enddo !j
endif !mhrly:else
else !.not.update -> initialize
! --- normalize the filter weights
fsum = f2hrly(0)
do ihr=1,24
fsum = fsum + 2.0*f2hrly(ihr)
enddo
fc = 1.0/fsum
fhrly(25) = fc*f2hrly(0)
do ihr=1,24
fhrly(25+ihr) = fc*f2hrly(ihr)
fhrly(25-ihr) = fc*f2hrly(ihr)
enddo
!
if (mhrly.eq.49) then
! --- form 49-hour filter, from restart input
do j= 1-nbdy,jj+nbdy
do i= 1-nbdy,ii+nbdy
hsum = fhrly(1)*hhrly(i,j,1)
do ihr= 2,49
hsum = hsum + fhrly(ihr)*hhrly(i,j,ihr)
enddo !ihr
hntide(i,j) = hsum
enddo !i
enddo !j
else
! --- not enough hours for 49-hour filter from restart input
do j= 1-nbdy,jj+nbdy
do i= 1-nbdy,ii+nbdy
hntide(i,j) = 0.0
enddo !i
enddo !j
endif !mhrly:else
endif !update:initialize
!
if (debug_tides) then
if (itest.gt.0 .and. jtest.gt.0) then
write (lp,'(i9,2i5,3x,a,i2.2,a,f10.6)') &
nstep,itest+i0,jtest+j0, &
' hr',mhrly,' = ', &
hhrly(itest,jtest,mhrly)
write (lp,'(i9,2i5,3x,a,f10.6)') &
nstep,itest+i0,jtest+j0, &
'hntide = ', &
hntide(itest,jtest)
endif
call xcsync(flush_lp)
endif !debug_tides
return
end subroutine tides_dehtide
!
!
subroutine tides_observed(ll)
use mod_xc ! HYCOM communication interface
use mod_cb_arrays ! HYCOM saved arrays
implicit none
!
integer ll
!
! --- calculate observed tides
!
integer i,j,l
real*8 timef,timet,timermp
real ramp,ft,c1,c2
real htide1,htide2,htide3,htide4,htide5,htide6,htide7,htide8
!
! ramp-up of tide signal
ramp =1.0
timermp=time_8+(ll*dlt/86400.d0)
if(ramp_time.gt.0.0 ) then
if(timermp .ge.ramp_orig)then
timermp=(timermp-ramp_orig)/ramp_time
ramp=ramp*(1.0-exp(-5.0*timermp))
else
ramp=0.0
endif
endif !ramp_time
!
if (.not.tidgen) then
call tides_set(1)
else
arg8(1:ncon) = 0.0 !no correction for a specific year
pu8(1:ncon) = 0.0 !no correction for a specific year
pf8(1:ncon) = 1.0 !no correction for a specific year
endif !standard:generic
!
! --- Early return?
!
if (tidnud.eq.0) then
RETURN
endif
!
if (yrflag.eq.3) then
timet=time_8+(ll*dlt/86400.d0)-timeref !time from 00Z today
else
timet=time_8+(ll*dlt/86400.d0) !time since model day zero
endif
! if (mnproc.eq.1) then
! write(lp,'(a,f8.4,2f12.5)')
! & 'tides_observed: ramp,time =',ramp,dtime,timet
! endif
!
htide1 = 0.0
htide2 = 0.0
htide3 = 0.0
htide4 = 0.0
htide5 = 0.0
htide6 = 0.0
htide7 = 0.0
htide8 = 0.0
!$OMP PARALLEL DO PRIVATE(j,i, &
!$OMP htide1,htide2,htide3,htide4,htide5,htide6,htide7,htide8, &
!$OMP SCHEDULE(STATIC,jblk)
do j= 1-nbdy,jj+nbdy
do i= 1-nbdy,ii+nbdy
if (tide_on(1)) then
htide1= &
atidh(i,j,1)*pf8(1)*cos(omega(1)*timet+arg8(1)+pu8(1))- &
btidh(i,j,1)*pf8(1)*sin(omega(1)*timet+arg8(1)+pu8(1))
endif
if (tide_on(2)) then
htide2= &
atidh(i,j,2)*pf8(2)*cos(omega(2)*timet+arg8(2)+pu8(2))- &
btidh(i,j,2)*pf8(2)*sin(omega(2)*timet+arg8(2)+pu8(2))
endif
if (tide_on(3)) then
htide3= &
atidh(i,j,3)*pf8(3)*cos(omega(3)*timet+arg8(3)+pu8(3))- &
btidh(i,j,3)*pf8(3)*sin(omega(3)*timet+arg8(3)+pu8(3))
endif
if (tide_on(4)) then
htide4= &
atidh(i,j,4)*pf8(4)*cos(omega(4)*timet+arg8(4)+pu8(4))- &
btidh(i,j,4)*pf8(4)*sin(omega(4)*timet+arg8(4)+pu8(4))
endif
if (tide_on(5)) then
htide5= &
atidh(i,j,5)*pf8(5)*cos(omega(5)*timet+arg8(5)+pu8(5))- &
btidh(i,j,5)*pf8(5)*sin(omega(5)*timet+arg8(5)+pu8(5))
endif
if (tide_on(6)) then
htide6= &
atidh(i,j,6)*pf8(6)*cos(omega(6)*timet+arg8(6)+pu8(6))- &
btidh(i,j,6)*pf8(6)*sin(omega(6)*timet+arg8(6)+pu8(6))
endif
if (tide_on(7)) then
htide7= &
atidh(i,j,7)*pf8(7)*cos(omega(7)*timet+arg8(7)+pu8(7))- &
btidh(i,j,7)*pf8(7)*sin(omega(7)*timet+arg8(7)+pu8(7))
endif
if (tide_on(8)) then
htide8= &
atidh(i,j,8)*pf8(8)*cos(omega(8)*timet+arg8(8)+pu8(8))- &
btidh(i,j,8)*pf8(8)*sin(omega(8)*timet+arg8(8)+pu8(8))
endif
!
htide(i,j)= htide1 &
+htide2 &
+htide3 &
+htide4 &
+htide5 &
+htide6 &
+htide7 &
+htide8
htide(i,j)=ramp*htide(i,j)
enddo !i
enddo !j
!
if (debug_tides) then
if (itest.gt.0 .and. jtest.gt.0) then
write (lp,'(i9,i3,2f14.6,2i5,3x,a,f10.6)') &
nstep,ll,timeref+timet,timet,itest+i0,jtest+j0, &
' htide = ',htide(itest,jtest)
endif !test point
call xcsync(flush_lp)
endif !debug_tides
return
end subroutine tides_observed
!
!
subroutine tides_observed_vel(ll)
use mod_xc ! HYCOM communication interface
use mod_cb_arrays ! HYCOM saved arrays
implicit none
!
integer ll
!
! --- calculate observed tidal velocities
!
integer i,j,l
real*8 timef,timet
real ewtide,nwtide
real utide1,utide2,utide3,utide4,utide5,utide6,utide7,utide8
real vtide1,vtide2,vtide3,vtide4,vtide5,vtide6,vtide7,vtide8
!
if (.not.tidgen) then
call tides_set(1)
else
arg8(1:ncon) = 0.0 !no correction for a specific year
pu8(1:ncon) = 0.0 !no correction for a specific year
pf8(1:ncon) = 1.0 !no correction for a specific year
endif !standard:generic
!
! --- Early return?
!
if (tidflg.ge.0) then
RETURN
endif
!
if (yrflag.eq.3) then
timet=time_8+(ll*dlt/86400.d0)-timeref !time from 00Z today
else
timet=time_8+(ll*dlt/86400.d0) !time since model day zero
endif
! if (mnproc.eq.1) then
! write(lp,'(a,2f12.5)')
! & 'tides_observed_vel: time =',dtime,timet
! endif
!
utide1 = 0.0
utide2 = 0.0
utide3 = 0.0
utide4 = 0.0
utide5 = 0.0
utide6 = 0.0
utide7 = 0.0
utide8 = 0.0
vtide1 = 0.0
vtide2 = 0.0
vtide3 = 0.0
vtide4 = 0.0
vtide5 = 0.0
vtide6 = 0.0
vtide7 = 0.0
vtide8 = 0.0
!$OMP PARALLEL DO PRIVATE(j,i, &
!$OMP utide1,utide2,utide3,utide4,utide5,utide6,utide7,utide8, &
!$OMP vtide1,vtide2,vtide3,vtide4,vtide5,vtide6,vtide7,vtide8) &
!$OMP SCHEDULE(STATIC,jblk)
do j= 1-nbdy,jj+nbdy
do i= 1-nbdy,ii+nbdy
if (tidv_on(1)) then
utide1= &
atidu(i,j,1)*pf8(1)*cos(omega(1)*timet+arg8(1)+pu8(1))- &
btidu(i,j,1)*pf8(1)*sin(omega(1)*timet+arg8(1)+pu8(1))
vtide1= &
atidv(i,j,1)*pf8(1)*cos(omega(1)*timet+arg8(1)+pu8(1))- &
btidv(i,j,1)*pf8(1)*sin(omega(1)*timet+arg8(1)+pu8(1))
endif
if (tidv_on(2)) then
utide2= &
atidu(i,j,2)*pf8(2)*cos(omega(2)*timet+arg8(2)+pu8(2))- &
btidu(i,j,2)*pf8(2)*sin(omega(2)*timet+arg8(2)+pu8(2))
vtide2= &
atidv(i,j,2)*pf8(2)*cos(omega(2)*timet+arg8(2)+pu8(2))- &
btidv(i,j,2)*pf8(2)*sin(omega(2)*timet+arg8(2)+pu8(2))
endif
if (tidv_on(3)) then
utide3= &
atidu(i,j,3)*pf8(3)*cos(omega(3)*timet+arg8(3)+pu8(3))- &
btidu(i,j,3)*pf8(3)*sin(omega(3)*timet+arg8(3)+pu8(3))
vtide3= &
atidv(i,j,3)*pf8(3)*cos(omega(3)*timet+arg8(3)+pu8(3))- &
btidv(i,j,3)*pf8(3)*sin(omega(3)*timet+arg8(3)+pu8(3))
endif
if (tidv_on(4)) then
utide4= &
atidu(i,j,4)*pf8(4)*cos(omega(4)*timet+arg8(4)+pu8(4))- &
btidu(i,j,4)*pf8(4)*sin(omega(4)*timet+arg8(4)+pu8(4))
vtide4= &
atidv(i,j,4)*pf8(4)*cos(omega(4)*timet+arg8(4)+pu8(4))- &
btidv(i,j,4)*pf8(4)*sin(omega(4)*timet+arg8(4)+pu8(4))
endif
if (tidv_on(5)) then
utide5= &
atidu(i,j,5)*pf8(5)*cos(omega(5)*timet+arg8(5)+pu8(5))- &
btidu(i,j,5)*pf8(5)*sin(omega(5)*timet+arg8(5)+pu8(5))
vtide5= &
atidv(i,j,5)*pf8(5)*cos(omega(5)*timet+arg8(5)+pu8(5))- &
btidv(i,j,5)*pf8(5)*sin(omega(5)*timet+arg8(5)+pu8(5))
endif
if (tidv_on(6)) then
utide6= &
atidu(i,j,6)*pf8(6)*cos(omega(6)*timet+arg8(6)+pu8(6))- &
btidu(i,j,6)*pf8(6)*sin(omega(6)*timet+arg8(6)+pu8(6))
vtide6= &
atidv(i,j,6)*pf8(6)*cos(omega(6)*timet+arg8(6)+pu8(6))- &
btidv(i,j,6)*pf8(6)*sin(omega(6)*timet+arg8(6)+pu8(6))
endif
if (tidv_on(7)) then
utide7= &
atidu(i,j,7)*pf8(7)*cos(omega(7)*timet+arg8(7)+pu8(7))- &
btidu(i,j,7)*pf8(7)*sin(omega(7)*timet+arg8(7)+pu8(7))
vtide7= &
atidv(i,j,7)*pf8(7)*cos(omega(7)*timet+arg8(7)+pu8(7))- &
btidv(i,j,7)*pf8(7)*sin(omega(7)*timet+arg8(7)+pu8(7))
endif
if (tidv_on(8)) then
utide8= &
atidu(i,j,8)*pf8(8)*cos(omega(8)*timet+arg8(8)+pu8(8))- &
btidu(i,j,8)*pf8(8)*sin(omega(8)*timet+arg8(8)+pu8(8))
vtide8= &
atidv(i,j,8)*pf8(8)*cos(omega(8)*timet+arg8(8)+pu8(8))- &
btidv(i,j,8)*pf8(8)*sin(omega(8)*timet+arg8(8)+pu8(8))
endif
!
ewtide = utide1 &
+utide2 &
+utide3 &