PROGRAM HYCOM_TIDEBODY IMPLICIT NONE !DAN====================================================================== c C hycom_tidebody - Usage: C hycom_tidebody fout.a tidcon wstart wend whrinc [itest jtest [grid.a [save_body]] C outputs tidal body forcing (m) every whrinc hours: C from wind day wstart C to wind day wend C C tidcon 1 digit per constituent (Q1K2P1N2O1K1S2M2), 0=off,1=on C itest & jtest are optional grid points for a trace C C grid.a is a hycom grid file, [default regional.grid.a]. C Note that the corresponding grid.b must also exist. C C save_body is a flag to save atide and btide in C body_ReIm.[ab] C C idm,jdm are taken from grid.a c c Output file: fout.a is written (unformatted, raw) c fout.b is written (formatted) C C this version for "serial" Unix systems. C C Dan Moore QinetiQ NA - September 2011 C Alan J. Wallcaft, NRL - April 2012 C !DAN============================================================================ REAL*4, ALLOCATABLE :: F(:,:,:),PLAT(:,:),PLON(:,:) REAL*4 :: xmin,xmax,PAD(4096) LOGICAL S_BODY INTEGER IOS,IForce_File_Number,i,j,k,ipt INTEGER IARGC,itest,jtest INTEGER NARG,n2pad CHARACTER*240 CARG,CFILE CHARACTER*2 TideMode(8) CHARACTER*24 Tides DATA TideMode/'M2','S2','K1','O1','N2','P1','K2','Q1'/ C INTEGER IDM,JDM,NPAD,TIDCON,NRECL,TIDCON1,n2drec REAL*8 wstart,wstop,whrinc,TT CHARACTER*6 CVARIN CHARACTER*240 CFILEO,CFILEB,CFILEG CHARACTER*79 PREAMBL(5) LOGICAL tide_on(8),Print_Trace C C READ ARGUMENTS. C NARG = IARGC() C IF (NARG.EQ.5) THEN CALL GETARG(1,CFILEO) CALL GETARG(2,CARG) READ(CARG,*) tidcon CALL GETARG(3,CARG) READ(CARG,*) wstart CALL GETARG(4,CARG) READ(CARG,*) wstop CALL GETARG(5,CARG) READ(CARG,*) whrinc itest = 0 jtest = 0 CFILEG = 'regional.grid.a' S_BODY = .false. ELSEIF (NARG.EQ.7) THEN CALL GETARG(1,CFILEO) CALL GETARG(2,CARG) READ(CARG,*) tidcon CALL GETARG(3,CARG) READ(CARG,*) wstart CALL GETARG(4,CARG) READ(CARG,*) wstop CALL GETARG(5,CARG) READ(CARG,*) whrinc CALL GETARG(6,CARG) READ(CARG,*) itest CALL GETARG(7,CARG) READ(CARG,*) jtest CFILEG = 'regional.grid.a' S_BODY = .false. ELSEIF (NARG.EQ.8) THEN CALL GETARG(1,CFILEO) CALL GETARG(2,CARG) READ(CARG,*) tidcon CALL GETARG(3,CARG) READ(CARG,*) wstart CALL GETARG(4,CARG) READ(CARG,*) wstop CALL GETARG(5,CARG) READ(CARG,*) whrinc CALL GETARG(6,CARG) READ(CARG,*) itest CALL GETARG(7,CARG) READ(CARG,*) jtest CALL GETARG(8,CFILEG) S_BODY = .false. ELSEIF (NARG.EQ.9) THEN CALL GETARG(1,CFILEO) CALL GETARG(2,CARG) READ(CARG,*) tidcon CALL GETARG(3,CARG) READ(CARG,*) wstart CALL GETARG(4,CARG) READ(CARG,*) wstop CALL GETARG(5,CARG) READ(CARG,*) whrinc CALL GETARG(6,CARG) READ(CARG,*) itest CALL GETARG(7,CARG) READ(CARG,*) jtest CALL GETARG(8,CFILEG) S_BODY = .true. ELSE WRITE(6,'(2a)') + 'Usage: hycom_tidebody fout.a tidcon wstart wend whrinc', + ' [itest jtest [grid.a [save_body]]]' CALL EXIT(1) ENDIF WRITE(6,*)'Argument List processed:' WRITE(6,*)' tidcon = ',tidcon WRITE(6,*)' wstart = ',wstart WRITE(6,*)' wstop = ',wstop WRITE(6,*)' whrinc = ',whrinc WRITE(6,*)' itest = ',itest WRITE(6,*)' jtest = ',jtest WRITE(6,*)' s_body = ',s_body WRITE(6,'(a,a)')'Regional Data File = ',TRIM(CFILEG) C C GET IDM,JDM FROM regional.grid.b. C CFILEB = CFILEG(1:LEN_TRIM(CFILEG)-1) // 'b' WRITE(6,'(a,a)')' Grid data file = ',TRIM(CFILEB) C OPEN(UNIT=11,FILE=CFILEB,FORM='FORMATTED', & STATUS='OLD',ACTION='READ') C READ( 11,*) IDM,CVARIN IF (CVARIN.NE.'idm ') THEN WRITE(6,*) 'hycom_tidelat: bad header file ', & CFILEB(1:LEN_TRIM(CFILEB)) CALL EXIT(2) ENDIF READ( 11,*) JDM,CVARIN IF (CVARIN.NE.'jdm ') THEN WRITE(6,*) 'hycom_tidelat: bad header file ', & CFILEB(1:LEN_TRIM(CFILEB)) CALL EXIT(2) ENDIF C CLOSE(UNIT=11) write(6,*)' IDM = ',IDM write(6,*)' JDM = ',JDM 116 format ( & i5,4x,'''idm '' = longitudinal array size'/ & i5,4x,'''jdm '' = latitudinal array size'/ & a70) C ALLOCATE( F(IDM,JDM,9), STAT=IOS ) IF (IOS.NE.0) THEN WRITE(6,*) 'Error in hycom_tidebody: could not allocate ', + IDM*JDM,' words for F' CALL EXIT(2) ENDIF ALLOCATE( PLAT(IDM,JDM), STAT=IOS ) IF (IOS.NE.0) THEN WRITE(6,*) 'Error in hycom_tidebody: could not allocate ', + IDM*JDM,' words for PLAT' CALL EXIT(2) ENDIF ALLOCATE( PLON(IDM,JDM), STAT=IOS ) IF (IOS.NE.0) THEN WRITE(6,*) 'Error in hycom_tidebody: could not allocate ', + IDM*JDM,' words for PLON' CALL EXIT(2) ENDIF C---------------------------------------------------------------- C C INPUT PLAT, PLON ARRAYS. C NPAD = 4096 - MOD(IDM*JDM,4096) IF (NPAD.EQ.4096) THEN NPAD = 0 INQUIRE(IOLENGTH=NRECL) PLAT ELSE INQUIRE(IOLENGTH=NRECL) PLAT,PAD(1:NPAD) ENDIF write(6,'(a,i5,i9)') 'npad,nrecl =',npad,nrecl C #ifdef CRAY #ifdef t3e IF (MOD(NRECL,4096).EQ.0) THEN WRITE(CASN,8000) NRECL/4096 8000 FORMAT('-F cachea:',I4.4,':1:0') IU8 = 11 CALL ASNUNIT(IU8,CASN,IOS8) IF (IOS8.NE.0) THEN write(6,*) 'Error: can''t asnunit 11' write(6,*) 'ios = ',ios8 write(6,*) 'casn = ',casn CALL EXIT(5) ENDIF IU8 = 21 CALL ASNUNIT(IU8,CASN,IOS8) IF (IOS8.NE.0) THEN write(6,*) 'Error: can''t asnunit 21' write(6,*) 'ios = ',ios8 write(6,*) 'casn = ',casn CALL EXIT(5) ENDIF ENDIF #else CALL ASNUNIT(11,'-F syscall -N ieee',IOS) IF (IOS.NE.0) THEN write(6,*) 'Error: can''t asnunit 11' write(6,*) 'ios = ',ios CALL EXIT(5) ENDIF CALL ASNUNIT(21,'-F syscall -N ieee',IOS) IF (IOS.NE.0) THEN write(6,*) 'Error: can''t asnunit 21' write(6,*) 'ios = ',ios CALL EXIT(5) ENDIF #endif #endif C OPEN(UNIT=11, FILE=CFILEG, FORM='UNFORMATTED', STATUS='OLD', + ACCESS='DIRECT', RECL=NRECL, IOSTAT=IOS) IF (IOS.NE.0) THEN write(6,*) 'Error: can''t open ',TRIM(CFILEG) write(6,*) 'ios = ',ios write(6,*) 'nrecl = ',nrecl CALL EXIT(3) ENDIF C READ(11,REC=1,IOSTAT=IOS) PLON #ifdef ENDIAN_IO CALL ENDIAN_SWAP(PLON,IDM*JDM) #endif IF (IOS.NE.0) THEN WRITE(6,*) 'can''t read PLON on ',TRIM(CFILEG) CALL EXIT(4) ENDIF c READ(11,REC=2,IOSTAT=IOS) PLAT #ifdef ENDIAN_IO CALL ENDIAN_SWAP(PLAT,IDM*JDM) #endif IF (IOS.NE.0) THEN WRITE(6,*) 'can''t read PLAT on ',TRIM(CFILEG) CALL EXIT(4) ENDIF C CLOSE(UNIT=11) write(6,*)'Array PLon read' write(6,*)'Array PLat read' C C OUTPUT FILE. C OPEN(UNIT=21, FILE=CFILEO, FORM='UNFORMATTED', STATUS='NEW', + ACCESS='DIRECT', RECL=NRECL, IOSTAT=IOS) IF (IOS.NE.0) THEN write(6,*) 'Error: can''t open ',TRIM(CFILEO) write(6,*) 'ios = ',ios write(6,*) 'nrecl = ',nrecl CALL EXIT(3) ENDIF C CFILEB = CFILEO(1:LEN_TRIM(CFILEO)-1) // 'b' OPEN(UNIT=22,FILE=CFILEB,FORM='FORMATTED', & STATUS='NEW',ACTION='WRITE',IOSTAT=IOS) IF (IOS.NE.0) THEN write(6,*) 'Error: can''t open ',TRIM(CFILEB) write(6,*) 'ios = ',ios CALL EXIT(3) ENDIF C---------------------------------------------------------------- tidcon1 = tidcon do i =1,8 tide_on(i) = mod(tidcon1,10) .eq. 1 tidcon1 = tidcon1/10 ! shift by one decimal digit enddo TIDES=' ' ipt=1 do i=1,8 if(tide_on(i))then TIDES(ipt:ipt+1)=TideMode(i) ipt=ipt+3 endif end do WRITE(6,'(a,a)')'Tidal Modes included: ',trim(TIDES) c PREAMBL(1) = 'Body Tidal Potential (m)' WRITE(PREAMBL(2),'(A,A)') 'Tidal Modes included: ',trim(TIDES) PREAMBL(3) = ' ' PREAMBL(4) = ' ' WRITE(PREAMBL(5),'(A,2I5)') + 'i/jdm =', + IDM,JDM WRITE(22,'(A79)') PREAMBL c c --- output time loop c F=0.0 Print_Trace=(itest.ge.1).and.(itest.le.idm).and. & (jtest.ge.1).and.(jtest.le.jdm) TT=wstart IForce_File_Number=0 c do CALL TIDE_FORCE(F,PLAT,PLON,TT,IDM,JDM,tidcon, & itest,jtest,S_BODY) if(Print_Trace) &write(6,'(a,i4,a,i4,a,3F12.2,9G15.5)')'TIDE_FORCE(',itest,',', &jtest,') for T,lat,lon = ',TT,plat(itest,jtest), &PLON(itest,jtest),F(itest,jtest,9),(F(itest,jtest,k),k=1,8) c xmin=minval(F(:,:,9)) xmax=maxval(F(:,:,9)) write(22,"(2X,A,': day,span,range =',F12.5,F10.6,1P2E16.7)") & 'tidpot',TT,whrinc/24.d0,xmin,xmax c #ifdef ENDIAN_IO CALL ENDIAN_SWAP(F(1,1,9),IDM*JDM) #endif c IForce_File_Number=IForce_File_Number+1 IF(NPAD.EQ.0) THEN WRITE(21,REC=IForce_File_Number,IOSTAT=IOS) F(:,:,9) ELSE WRITE(21,REC=IForce_File_Number,IOSTAT=IOS) F(:,:,9), & PAD(1:NPAD) ENDIF TT=TT+whrinc/24.d0 IF(TT.GT.wstop+whrinc/240.d0) then exit endif enddo !time loop write(6,'(/ i8,a /)') IForce_File_Number,' records written' CLOSE(21) CLOSE(22) CALL EXIT(0) 5000 FORMAT(I4) END SUBROUTINE TIDE_FORCE(F,PLAT,PLON,TT,IDM,JDM,tidcon, & itest,jtest, S_BODY) IMPLICIT NONE REAL*4 F(IDM,JDM,9),PLAT(IDM,JDM),PLON(IDM,JDM) REAL*8 TT INTEGER IDM,JDM,tidcon,itest,jtest LOGICAL S_BODY C C MOST OF WORK IS DONE HERE. C CALL tidal_force(F,TT,plat,plon,idm,jdm,1,idm,1,jdm, + tidcon,itest,jtest, S_BODY) RETURN END c================================================================== subroutine tidal_force(force,T8,plat,plon,idm,jdm,istart,isize, + jstart,jsize,tidcon,itest,jtest, S_BODY) IMPLICIT NONE real*8 T8,timeref,time_mjd,pu8(8),pf8(8),arg8(8),amp(8),omega(8) real*8 cos_t(8),sin_t(8) real*8 t,h0,s0,p0,db,year8,timet real*8 rad real alpha2q1,alpha2o1,alpha2p1,alpha2k1 real alpha2m2,alpha2s2,alpha2n2,alpha2k2 real diur_cos,diur_sin,semi_cos,semi_sin,ff,ett LOGICAL S_BODY INTEGER NPAD,NRECL,IOS REAL PAD(4096) real, save, allocatable :: atide(:,:,:),btide(:,:,:),etide(:,:,:) data rad/ 0.0174532925199432d0 / real force(isize,jsize,9),plat(idm,jdm),plon(idm,jdm) integer idm,jdm,istart,isize,jstart,jsize,i,j,k,itest,jtest integer iyear,iday,ihour,nleap,inty,tidcon,tidcon1 logical tide_on(8) tidcon1 = tidcon do i =1,8 tide_on(i) = mod(tidcon1,10) .eq. 1 tidcon1 = tidcon1/10 ! shift by one decimal digit enddo call forday(T8,3,iyear,iday,ihour) c c in the following, the origin (time_mjd) is in modified c julian days, i.e. with zero on Nov 17 0:00 1858 c This is updated once pr year (Jan 1), with jan 1 = 1 (day one) c time_ref is the time from hycom-origin, i.e. from jan 1 1901 0:00, c to jan 1 0:00 in the computation year. c It is used in tideforce below. c no of leap years in the two reference periods mentioned above: 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,*) 'tide_set: calling tides_nodal for a new day' * endif !1st tile * call xcsync(flush_lp) c write(6,*)'timeref,time_mjd =',timeref,time_mjd c WRITE(6,*)'About to call tides_nodal' call tides_nodal(time_mjd,pu8,pf8,arg8) c write(6,'(a,f11.5,8f8.4)') '#arg8 =',timeref,arg8(1:8) c write(6,'(a,f11.5,8f8.4)') '#pu8 =',timeref, pu8(1:8) c write(6,'(a,f11.5,8f8.4)') '#pf8 =',timeref, pf8(1:8) c write (6,*) ' now initializing tidal body forcing ...' c write (6,'(/a,i8.8/)') ' Q1K2P1N2O1K1S2M2 = ',tidcon c c --- amp is in m, and omega in 1/day. c 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 c --- alpha2=(1+k-h)g; Love numbers k,h taken from c --- 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 c write(6,*)'End of Tides_set(),idm,jdm =',idm,jdm if (.not.allocated(atide)) then allocate(atide(idm,jdm,8),btide(idm,jdm,8),etide(idm,jdm,9)) c !$OMP PARALLEL DO PRIVATE(j,i,semi_cos,semi_sin,diur_cos,diur_sin) do j= 1,jdm do i= 1,idm semi_cos=cos(rad*plat(i,j))**2*cos(rad*2*plon(i,j)) semi_sin=cos(rad*plat(i,j))**2*sin(rad*2*plon(i,j)) diur_cos=sin(2.*rad*plat(i,j))*cos(rad*plon(i,j)) diur_sin=sin(2.*rad*plat(i,j))*sin(rad*plon(i,j)) atide(i,j,3)= amp(3)*alpha2k1* diur_cos btide(i,j,3)= amp(3)*alpha2k1* diur_sin atide(i,j,4)= amp(4)*alpha2o1* diur_cos btide(i,j,4)= amp(4)*alpha2o1* diur_sin atide(i,j,6)= amp(6)*alpha2p1* diur_cos btide(i,j,6)= amp(6)*alpha2p1* diur_sin atide(i,j,8)= amp(8)*alpha2q1* diur_cos btide(i,j,8)= amp(8)*alpha2q1* diur_sin atide(i,j,1)= amp(1)*alpha2m2* semi_cos btide(i,j,1)= amp(1)*alpha2m2* semi_sin atide(i,j,2)= amp(2)*alpha2s2* semi_cos btide(i,j,2)= amp(2)*alpha2s2* semi_sin atide(i,j,5)= amp(5)*alpha2n2* semi_cos btide(i,j,5)= amp(5)*alpha2n2* semi_sin atide(i,j,7)= amp(7)*alpha2k2* semi_cos btide(i,j,7)= amp(7)*alpha2k2* semi_sin if(i.eq.istart.and.j.eq.jstart)then c write(6,*)'semi,c/s & diur c/s =', c + semi_cos,semi_sin,diur_cos,diur_sin c write(6,*)'amp(3),alpha2k1 =',amp(3),alpha2k1 c write(6,*)'atide(i,j,3/4=',atide(i,j,3),atide(i,j,4) endif!start enddo !i enddo !j !$OMP END PARALLEL DO etide=0.0 c if (s_body) then C C OUTPUT FILE. C NPAD = 4096 - MOD(IDM*JDM,4096) IF (NPAD.EQ.4096) THEN NPAD = 0 INQUIRE(IOLENGTH=NRECL) atide(:,:,1) ELSE INQUIRE(IOLENGTH=NRECL) atide(:,:,1),PAD(1:NPAD) ENDIF write(6,'(a,i5,i9)') 'npad,nrecl =',npad,nrecl OPEN(UNIT=31, FILE='body_ReIm.a', FORM='UNFORMATTED', & STATUS='NEW', ACCESS='DIRECT', RECL=NRECL, & IOSTAT=IOS) IF (IOS.NE.0) THEN write(6,*) 'Error: can''t open body_ReIm.a' write(6,*) 'ios = ',ios write(6,*) 'nrecl = ',nrecl CALL EXIT(3) ELSE write(6,*) 'Opened body_ReIm.a' ENDIF C OPEN(UNIT=32,FILE='body_ReIm.b',FORM='FORMATTED', & STATUS='NEW',ACTION='WRITE',IOSTAT=IOS) IF (IOS.NE.0) THEN write(6,*) 'Error: can''t open body_ReIm.b' write(6,*) 'ios = ',ios CALL EXIT(3) ELSE write(6,*) 'Opened body_ReIm.b' ENDIF do k=1,8 IF (NPAD.EQ.0) THEN write(31,rec=2*k-1) atide(:,:,k) write(31,rec=2*k ) btide(:,:,k) else write(31,rec=2*k-1) atide(:,:,k),pad(1:npad) write(31,rec=2*k ) btide(:,:,k),pad(1:npad) endif WRITE(32,62)k,minval(atide(:,:,k)),maxval(atide(:,:,k)) WRITE( 6,62)k,minval(atide(:,:,k)),maxval(atide(:,:,k)) WRITE(32,63)k,minval(btide(:,:,k)),maxval(btide(:,:,k)) WRITE( 6,63)k,minval(btide(:,:,k)),maxval(btide(:,:,k)) 62 FORMAT('TIDE',I2.2,'Re min, max=',2g15.7) 63 FORMAT('TIDE',I2.2,'Im min, max=',2g15.7) enddo !k close(31) close(32) endif !s_body endif !initialization ccc c c ccc timet=T8-timeref !time from 00Z today do k=1,8 cos_t(k) = pf8(k)*cos(omega(k)*timet+arg8(k)+pu8(k)) sin_t(k) = pf8(k)*sin(omega(k)*timet+arg8(k)+pu8(k)) enddo !$OMP PARALLEL DO PRIVATE(j,i,etide) do j= 1,jdm do i= 1,idm ett=0.0 if (tide_on(1)) then etide(i,j,1)=atide(i,j,1)*cos_t(1)-btide(i,j,1)*sin_t(1) endif if (tide_on(2)) then etide(i,j,2)=atide(i,j,2)*cos_t(2)-btide(i,j,2)*sin_t(2) endif if (tide_on(3)) then etide(i,j,3)=atide(i,j,3)*cos_t(3)-btide(i,j,3)*sin_t(3) endif if (tide_on(4)) then etide(i,j,4)=atide(i,j,4)*cos_t(4)-btide(i,j,4)*sin_t(4) endif if (tide_on(5)) then etide(i,j,5)=atide(i,j,5)*cos_t(5)-btide(i,j,5)*sin_t(5) endif if (tide_on(6)) then etide(i,j,6)=atide(i,j,6)*cos_t(6)-btide(i,j,6)*sin_t(6) endif if (tide_on(7)) then etide(i,j,7)=atide(i,j,7)*cos_t(7)-btide(i,j,7)*sin_t(7) endif if (tide_on(8)) then etide(i,j,8)=atide(i,j,8)*cos_t(8)-btide(i,j,8)*sin_t(8) endif if(i.eq.itest.and.j.eq.jtest)then ett=0.0 do k=1,8 ett=ett+etide(i,j,k) end do c write(667, '(a,i4,a,i4,a,F12.3,12g15.5)') c & 'Time,Tidal force,lat,lon at (',i,',',j,') = ', c & timet+timeref,plat(i,j),plon(i,j),ett,(etide(i,j,k),k=1,8) c write(668,'(10g16.6)')timet+timeref,pf8(1),atide(i,j,1), c & btide(i,j,1),omega(1),arg8(1),pu8(1),timet, c & omega(1)*timet+arg8(1)+pu8(1) endif !debug enddo !i enddo !j !$OMP END PARALLEL DO do j=1,jsize do i=1,isize ff=0.0 do k=1,8 force(i,j,k)=etide(i+istart-1,j+jstart-1,k) ff=ff+force(i,j,k) end do force(i,j,9)=ff end do end do return end subroutine forday(dtime,yrflag, iyear,iday,ihour) c use mod_xc ! HYCOM communication interface implicit none c real*8 dtime integer yrflag, iyear,iday,ihour c c --- converts model day to "calendar" date (year,ordinal-day,hour). c real*8 dtim1,day integer iyr,nleap c if (yrflag.eq.0) then c --- 360 days per model year, starting Jan 16 iyear = int((dtime+15.001d0)/360.d0) + 1 iday = mod( dtime+15.001d0 ,360.d0) + 1 ihour = (mod( dtime+15.001d0 ,360.d0) + 1.d0 - iday)*24.d0 c elseif (yrflag.eq.1) then c --- 366 days per model year, starting Jan 16 iyear = int((dtime+15.001d0)/366.d0) + 1 iday = mod( dtime+15.001d0 ,366.d0) + 1 ihour = (mod( dtime+15.001d0 ,366.d0) + 1.d0 - iday)*24.d0 c elseif (yrflag.eq.2) then c --- 366 days per model year, starting Jan 01 iyear = int((dtime+ 0.001d0)/366.d0) + 1 iday = mod( dtime+ 0.001d0 ,366.d0) + 1 ihour = (mod( dtime+ 0.001d0 ,366.d0) + 1.d0 - iday)*24.d0 c elseif (yrflag.eq.3) then c --- model day is calendar days since 01/01/1901 iyr = (dtime-1.d0)/365.25d0 nleap = iyr/4 dtim1 = 365.d0*iyr + nleap + 1.d0 day = dtime - dtim1 + 1.d0 if (dtim1.gt.dtime) then iyr = iyr - 1 elseif (day.ge.367.d0) then iyr = iyr + 1 elseif (day.ge.366.d0 .and. mod(iyr,4).ne.3) then iyr = iyr + 1 endif nleap = iyr/4 dtim1 = 365.d0*iyr + nleap + 1.d0 c iyear = 1901 + iyr iday = dtime - dtim1 + 1.001d0 ihour = (dtime - dtim1 + 1.001d0 - iday)*24.d0 c endif return end c================================================================ ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc c argUMENTS and ASTROL subroutines SUPPLIED by RICHARD RAY, March 1999 c attached to OTIS by Lana Erofeeva (subroutine nodal.f) c NOTE - "no1" in constit.h corresponds to "M1" in arguments subroutine tides_nodal(time_mjd,pu8,pf8,arg8) implicit none integer ncmx,ncon parameter(ncmx = 21, ncon = 8) c 21 put here instead of ncmx for compatability with old constit.h integer index(ncmx),i real*8 latitude,pu(ncmx),pf(ncmx) real*8 arg(53),f(53),u(53),pi real*8 time_mjd,pu8(8),pf8(8),arg8(8) data pi/3.14159265358979/ c index gives correspondence between constit.h and Richard's subroutines c constit.h: M2,S2,K1,O1,N2,P1,K2,q1,2N2,mu2,nu2,L2,t2, c J1,M1(no1),OO1,rho1,Mf,Mm,SSA,M4 data index/30,35,19,12,27,17,37,10,25,26,28,33,34, * 23,14,24,11,5,3,2,45/ call tidal_arguments(time_mjd,arg,f,u) do i=1,ncmx c u is returned by "tidal_arguments" in degrees pu(i)=u(index(i))*pi/180.d0 pf(i)=f(index(i)) c write(*,*)pu(i),pf(i) enddo do i =1,ncon pu8(i) = pu(i) pf8(i) = pf(i) arg8(i)= arg(index(i))*pi/180.d0 enddo return end subroutine tidal_arguments( time1, arg, f, u) implicit none real*8 time1, arg(*), f(*), u(*) * * Kernel routine for subroutine hat53. Calculate tidal arguments. * real*8 xi real*8 shpn(4),s,h,p,omega,pp,hour,t1,t2 real*8 tmp1,tmp2,temp1,temp2 real*8 cosn,cos2n,sinn,sin2n,sin3n real*8 zero,one,two,three,four,five real*8 fiften,thirty,ninety real*8 pi, rad parameter (pi=3.141592654d0, rad=pi/180.d0) parameter (zero=0.d0, one=1.d0) parameter (two=2.d0, three=3.d0, four=4.d0, five=5.d0) parameter (fiften=15.d0, thirty=30.d0, ninety=90.d0) parameter (pp=282.94) ! solar perigee at epoch 2000. equivalence (shpn(1),s),(shpn(2),h),(shpn(3),p),(shpn(4),omega) * * Determine equilibrium arguments * ------------------------------- call tides_astrol( time1, shpn ) hour = (time1 - int(time1))*24.d0 t1 = fiften*hour t2 = thirty*hour arg( 1) = h - pp ! Sa arg( 2) = two*h ! Ssa arg( 3) = s - p ! Mm arg( 4) = two*s - two*h ! MSf arg( 5) = two*s ! Mf arg( 6) = three*s - p ! Mt arg( 7) = t1 - five*s + three*h + p - ninety ! alpha1 arg( 8) = t1 - four*s + h + two*p - ninety ! 2Q1 arg( 9) = t1 - four*s + three*h - ninety ! sigma1 arg(10) = t1 - three*s + h + p - ninety ! q1 arg(11) = t1 - three*s + three*h - p - ninety ! rho1 arg(12) = t1 - two*s + h - ninety ! o1 arg(13) = t1 - two*s + three*h + ninety ! tau1 arg(14) = t1 - s + h + ninety ! M1 arg(15) = t1 - s + three*h - p + ninety ! chi1 arg(16) = t1 - two*h + pp - ninety ! pi1 arg(17) = t1 - h - ninety ! p1 arg(18) = t1 + ninety ! s1 arg(19) = t1 + h + ninety ! k1 arg(20) = t1 + two*h - pp + ninety ! psi1 arg(21) = t1 + three*h + ninety ! phi1 arg(22) = t1 + s - h + p + ninety ! theta1 arg(23) = t1 + s + h - p + ninety ! J1 arg(24) = t1 + two*s + h + ninety ! OO1 arg(25) = t2 - four*s + two*h + two*p ! 2N2 arg(26) = t2 - four*s + four*h ! mu2 arg(27) = t2 - three*s + two*h + p ! n2 arg(28) = t2 - three*s + four*h - p ! nu2 arg(29) = t2 - two*s + h + pp ! M2a arg(30) = t2 - two*s + two*h ! M2 arg(31) = t2 - two*s + three*h - pp ! M2b arg(32) = t2 - s + p + 180.d0 ! lambda2 arg(33) = t2 - s + two*h - p + 180.d0 ! L2 arg(34) = t2 - h + pp ! t2 arg(35) = t2 ! S2 arg(36) = t2 + h - pp + 180.d0 ! R2 arg(37) = t2 + two*h ! K2 arg(38) = t2 + s + two*h - pp ! eta2 arg(39) = t2 - five*s + 4.0*h + p ! MNS2 arg(40) = t2 + two*s - two*h ! 2SM2 arg(41) = 1.5*arg(30) ! M3 arg(42) = arg(19) + arg(30) ! MK3 arg(43) = three*t1 ! S3 arg(44) = arg(27) + arg(30) ! MN4 arg(45) = two*arg(30) ! M4 arg(46) = arg(30) + arg(35) ! MS4 arg(47) = arg(30) + arg(37) ! MK4 arg(48) = four*t1 ! S4 arg(49) = five*t1 ! S5 arg(50) = three*arg(30) ! M6 arg(51) = three*t2 ! S6 arg(52) = 7.0*t1 ! S7 arg(53) = four*t2 ! S8 * * determine nodal corrections f and u * ----------------------------------- * write(6,*)'In tidal_arguments line 718' * write(6,*)'Time 1, omega = ',time1, omega sinn = sin(omega*rad) cosn = cos(omega*rad) sin2n = sin(two*omega*rad) cos2n = cos(two*omega*rad) sin3n = sin(three*omega*rad) * write(6,*)'Line 722, sinn,cosn,sin2n,cos2n=',sinn,cosn,sin2n,cos2n f( 1) = one ! Sa f( 2) = one ! Ssa f( 3) = one - 0.130*cosn ! Mm f( 4) = one ! MSf f( 5) = 1.043 + 0.414*cosn ! Mf f( 6) = sqrt((one+.203*cosn+.040*cos2n)**2 + * (.203*sinn+.040*sin2n)**2) ! Mt f( 7) = one ! alpha1 f( 8) = sqrt((1.+.188*cosn)**2+(.188*sinn)**2) ! 2Q1 f( 9) = f(8) ! sigma1 f(10) = f(8) ! q1 f(11) = f(8) ! rho1 f(12) = sqrt((1.0+0.189*cosn-0.0058*cos2n)**2 + * (0.189*sinn-0.0058*sin2n)**2) ! O1 f(13) = one ! tau1 ccc tmp1 = 2.*cos(p*rad)+.4*cos((p-omega)*rad) ccc tmp2 = sin(p*rad)+.2*sin((p-omega)*rad) ! Doodson's tmp1 = 1.36*cos(p*rad)+.267*cos((p-omega)*rad) ! Ray's tmp2 = 0.64*sin(p*rad)+.135*sin((p-omega)*rad) f(14) = sqrt(tmp1**2 + tmp2**2) ! M1 f(15) = sqrt((1.+.221*cosn)**2+(.221*sinn)**2) ! chi1 f(16) = one ! pi1 f(17) = one ! P1 f(18) = one ! S1 f(19) = sqrt((1.+.1158*cosn-.0029*cos2n)**2 + * (.1554*sinn-.0029*sin2n)**2) ! K1 f(20) = one ! psi1 f(21) = one ! phi1 f(22) = one ! theta1 f(23) = sqrt((1.+.169*cosn)**2+(.227*sinn)**2) ! J1 f(24) = sqrt((1.0+0.640*cosn+0.134*cos2n)**2 + * (0.640*sinn+0.134*sin2n)**2 ) ! OO1 f(25) = sqrt((1.-.03731*cosn+.00052*cos2n)**2 + * (.03731*sinn-.00052*sin2n)**2) ! 2N2 f(26) = f(25) ! mu2 f(27) = f(25) ! N2 f(28) = f(25) ! nu2 f(29) = one ! M2a f(30) = f(25) ! M2 f(31) = one ! M2b f(32) = one ! lambda2 temp1 = 1.-0.25*cos(two*p*rad) * -0.11*cos((two*p-omega)*rad)-0.04*cosn temp2 = 0.25*sin(two*p)+0.11*sin((two*p-omega)*rad) * + 0.04*sinn f(33) = sqrt(temp1**2 + temp2**2) ! L2 f(34) = one ! t2 f(35) = one ! S2 f(36) = one ! R2 f(37) = sqrt((1.+.2852*cosn+.0324*cos2n)**2 + * (.3108*sinn+.0324*sin2n)**2) ! K2 f(38) = sqrt((1.+.436*cosn)**2+(.436*sinn)**2) ! eta2 f(39) = f(30)**2 ! MNS2 f(40) = f(30) ! 2SM2 f(41) = one ! wrong ! M3 f(42) = f(19)*f(30) ! MK3 f(43) = one ! S3 f(44) = f(30)**2 ! MN4 f(45) = f(44) ! M4 f(46) = f(44) ! MS4 f(47) = f(30)*f(37) ! MK4 f(48) = one ! S4 f(49) = one ! S5 f(50) = f(30)**3 ! M6 f(51) = one ! S6 f(52) = one ! S7 f(53) = one ! S8 u( 1) = zero ! Sa u( 2) = zero ! Ssa u( 3) = zero ! Mm u( 4) = zero ! MSf u( 5) = -23.7*sinn + 2.7*sin2n - 0.4*sin3n ! Mf u( 6) = atan(-(.203*sinn+.040*sin2n)/ * (one+.203*cosn+.040*cos2n))/rad ! Mt u( 7) = zero ! alpha1 u( 8) = atan(.189*sinn/(1.+.189*cosn))/rad ! 2Q1 u( 9) = u(8) ! sigma1 u(10) = u(8) ! q1 u(11) = u(8) ! rho1 u(12) = 10.8*sinn - 1.3*sin2n + 0.2*sin3n ! O1 u(13) = zero ! tau1 u(14) = atan2(tmp2,tmp1)/rad ! M1 u(15) = atan(-.221*sinn/(1.+.221*cosn))/rad ! chi1 u(16) = zero ! pi1 u(17) = zero ! P1 u(18) = zero ! S1 u(19) = atan((-.1554*sinn+.0029*sin2n)/ * (1.+.1158*cosn-.0029*cos2n))/rad ! K1 u(20) = zero ! psi1 u(21) = zero ! phi1 u(22) = zero ! theta1 u(23) = atan(-.227*sinn/(1.+.169*cosn))/rad ! J1 u(24) = atan(-(.640*sinn+.134*sin2n)/ * (1.+.640*cosn+.134*cos2n))/rad ! OO1 u(25) = atan((-.03731*sinn+.00052*sin2n)/ * (1.-.03731*cosn+.00052*cos2n))/rad ! 2N2 u(26) = u(25) ! mu2 u(27) = u(25) ! N2 u(28) = u(25) ! nu2 u(29) = zero ! M2a u(30) = u(25) ! M2 u(31) = zero ! M2b u(32) = zero ! lambda2 u(33) = atan(-temp2/temp1)/rad ! L2 u(34) = zero ! t2 u(35) = zero ! S2 u(36) = zero ! R2 u(37) = atan(-(.3108*sinn+.0324*sin2n)/ * (1.+.2852*cosn+.0324*cos2n))/rad ! K2 u(38) = atan(-.436*sinn/(1.+.436*cosn))/rad ! eta2 u(39) = u(30)*two ! MNS2 u(40) = u(30) ! 2SM2 u(41) = 1.5d0*u(30) ! M3 u(42) = u(30) + u(19) ! MK3 u(43) = zero ! S3 u(44) = u(30)*two ! MN4 u(45) = u(44) ! M4 u(46) = u(30) ! MS4 u(47) = u(30)+u(37) ! MK4 u(48) = zero ! S4 u(49) = zero ! S5 u(50) = u(30)*three ! M6 u(51) = zero ! S6 u(52) = zero ! S7 u(53) = zero ! S8 return end subroutine tidal_arguments SUBROUTINE TIDES_ASTROL( time, SHPN ) * * Computes the basic astronomical mean longitudes s, h, p, N. * Note N is not N', i.e. N is decreasing with time. * These formulae are for the period 1990 - 2010, and were derived * by David Cartwright (personal comm., Nov. 1990). * time is UTC in decimal MJD. * All longitudes returned in degrees. * R. D. Ray Dec. 1990 * * Non-vectorized version. * c IMPLICIT REAL*8 (A-H,O-Z) real*8 circle,shpn,t,time DIMENSION SHPN(4) PARAMETER (CIRCLE=360.0D0) * T = time - 51544.4993D0 * * mean longitude of moon * ---------------------- SHPN(1) = 218.3164D0 + 13.17639648D0 * T * * mean longitude of sun * --------------------- SHPN(2) = 280.4661D0 + 0.98564736D0 * T * * mean longitude of lunar perigee * ------------------------------- SHPN(3) = 83.3535D0 + 0.11140353D0 * T * * mean longitude of ascending lunar node * -------------------------------------- SHPN(4) = 125.0445D0 - 0.05295377D0 * T SHPN(1) = MOD(SHPN(1),CIRCLE) SHPN(2) = MOD(SHPN(2),CIRCLE) SHPN(3) = MOD(SHPN(3),CIRCLE) SHPN(4) = MOD(SHPN(4),CIRCLE) IF (SHPN(1).LT.0.D0) SHPN(1) = SHPN(1) + CIRCLE IF (SHPN(2).LT.0.D0) SHPN(2) = SHPN(2) + CIRCLE IF (SHPN(3).LT.0.D0) SHPN(3) = SHPN(3) + CIRCLE IF (SHPN(4).LT.0.D0) SHPN(4) = SHPN(4) + CIRCLE RETURN END SUBROUTINE TIDES_ASTROL