MODULE tide_mod !!====================================================================== !! *** MODULE tide_mod *** !! Compute nodal modulations corrections and pulsations !!====================================================================== !! History : 1.0 ! 2007 (O. Le Galloudec) Original code !!---------------------------------------------------------------------- USE oce ! ocean dynamics and tracers variables USE dom_oce ! ocean space and time domain USE phycst ! physical constant USE daymod ! calendar ! USE in_out_manager ! I/O units USE iom ! xIOs server USE ioipsl ! NetCDF IPSL library USE lbclnk ! ocean lateral boundary conditions (or mpp link) IMPLICIT NONE PRIVATE PUBLIC tide_init PUBLIC tide_harmo ! called internally and by module sbdtide PUBLIC tide_init_harmonics ! called internally and by module diaharm PUBLIC tide_init_load PUBLIC tide_init_potential PUBLIC upd_tide ! called in dynspg_... modules INTEGER, PUBLIC, PARAMETER :: jpmax_harmo = 64 !: maximum number of harmonic components TYPE, PUBLIC :: tide CHARACTER(LEN=4) :: cname_tide = '' REAL(wp) :: equitide INTEGER :: nutide INTEGER :: nt, ns, nh, np, np1, shift INTEGER :: nksi, nnu0, nnu1, nnu2, R INTEGER :: nformula END TYPE tide TYPE(tide), PUBLIC, DIMENSION(:), POINTER :: tide_components !: Array of selected tidal component parameters TYPE, PUBLIC :: tide_harmonic !: Oscillation parameters of harmonic tidal components CHARACTER(LEN=4) :: cname_tide ! Name of component REAL(wp) :: equitide ! Amplitude of equilibrium tide REAL(wp) :: f ! Node factor REAL(wp) :: omega ! Angular velocity REAL(wp) :: v0 ! Initial phase at prime meridian REAL(wp) :: u ! Phase correction END type tide_harmonic TYPE(tide_harmonic), PUBLIC, DIMENSION(:), POINTER :: tide_harmonics !: Oscillation parameters of selected tidal components LOGICAL , PUBLIC :: ln_tide !: LOGICAL , PUBLIC :: ln_tide_pot !: LOGICAL , PUBLIC :: ln_read_load !: LOGICAL , PUBLIC :: ln_scal_load !: LOGICAL , PUBLIC :: ln_tide_ramp !: INTEGER , PUBLIC :: nb_harmo !: Number of active tidal components INTEGER , PUBLIC :: kt_tide !: REAL(wp), PUBLIC :: rn_tide_ramp_dt !: REAL(wp), PUBLIC :: rn_scal_load !: CHARACTER(lc), PUBLIC :: cn_tide_load !: REAL(wp) :: rn_tide_gamma ! Tidal tilt factor REAL(wp), PUBLIC, ALLOCATABLE, DIMENSION(:,:) :: pot_astro !: tidal potential REAL(wp), PUBLIC, ALLOCATABLE, DIMENSION(:,:,:) :: amp_pot, phi_pot REAL(wp), PUBLIC, ALLOCATABLE, DIMENSION(:,:,:) :: amp_load, phi_load REAL(wp) :: sh_T, sh_s, sh_h, sh_p, sh_p1 ! astronomic angles REAL(wp) :: sh_xi, sh_nu, sh_nuprim, sh_nusec, sh_R ! REAL(wp) :: sh_I, sh_x1ra, sh_N ! !!---------------------------------------------------------------------- !! NEMO/OCE 4.0 , NEMO Consortium (2018) !! $Id$ !! Software governed by the CeCILL license (see ./LICENSE) !!---------------------------------------------------------------------- CONTAINS SUBROUTINE tide_init !!---------------------------------------------------------------------- !! *** ROUTINE tide_init *** !!---------------------------------------------------------------------- INTEGER :: ji, jk CHARACTER(LEN=4), DIMENSION(jpmax_harmo) :: sn_tide_cnames ! Names of selected tidal components INTEGER :: ios ! Local integer output status for namelist read ! NAMELIST/nam_tide/ln_tide, ln_tide_pot, rn_tide_gamma, ln_scal_load, ln_read_load, cn_tide_load, & & ln_tide_ramp, rn_scal_load, rn_tide_ramp_dt, sn_tide_cnames !!---------------------------------------------------------------------- ! ! Initialise all array elements of sn_tide_cnames, as some of them ! typically do not appear in namelist_ref or namelist_cfg sn_tide_cnames(:) = '' ! Read Namelist nam_tide REWIND( numnam_ref ) ! Namelist nam_tide in reference namelist : Tides READ ( numnam_ref, nam_tide, IOSTAT = ios, ERR = 901) 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'nam_tide in reference namelist', lwp ) ! REWIND( numnam_cfg ) ! Namelist nam_tide in configuration namelist : Tides READ ( numnam_cfg, nam_tide, IOSTAT = ios, ERR = 902 ) 902 IF( ios > 0 ) CALL ctl_nam ( ios , 'nam_tide in configuration namelist', lwp ) IF(lwm) WRITE ( numond, nam_tide ) ! IF( ln_tide ) THEN IF (lwp) THEN WRITE(numout,*) WRITE(numout,*) 'tide_init : Initialization of the tidal components' WRITE(numout,*) '~~~~~~~~~ ' WRITE(numout,*) ' Namelist nam_tide' WRITE(numout,*) ' Use tidal components ln_tide = ', ln_tide WRITE(numout,*) ' Apply astronomical potential ln_tide_pot = ', ln_tide_pot WRITE(numout,*) ' Tidal tilt factor rn_tide_gamma = ', rn_tide_gamma WRITE(numout,*) ' Use scalar approx. for load potential ln_scal_load = ', ln_scal_load WRITE(numout,*) ' Read load potential from file ln_read_load = ', ln_read_load WRITE(numout,*) ' Apply ramp on tides at startup ln_tide_ramp = ', ln_tide_ramp WRITE(numout,*) ' Fraction of SSH used in scal. approx. rn_scal_load = ', rn_scal_load WRITE(numout,*) ' Duration (days) of ramp rn_tide_ramp_dt = ', rn_tide_ramp_dt ENDIF ELSE rn_scal_load = 0._wp IF(lwp) WRITE(numout,*) IF(lwp) WRITE(numout,*) 'tide_init : tidal components not used (ln_tide = F)' IF(lwp) WRITE(numout,*) '~~~~~~~~~ ' RETURN ENDIF ! IF( ln_read_load.AND.(.NOT.ln_tide_pot) ) & & CALL ctl_stop('ln_read_load requires ln_tide_pot') IF( ln_scal_load.AND.(.NOT.ln_tide_pot) ) & & CALL ctl_stop('ln_scal_load requires ln_tide_pot') IF( ln_scal_load.AND.ln_read_load ) & & CALL ctl_stop('Choose between ln_scal_load and ln_read_load') IF( ln_tide_ramp.AND.((nitend-nit000+1)*rdt/rday < rn_tide_ramp_dt) ) & & CALL ctl_stop('rn_tide_ramp_dt must be lower than run duration') IF( ln_tide_ramp.AND.(rn_tide_ramp_dt<0.) ) & & CALL ctl_stop('rn_tide_ramp_dt must be positive') ! ! Initialise array used to store tidal oscillation parameters (frequency, ! amplitude, phase); also retrieve and store array of information about ! selected tidal components CALL tide_init_harmonics(sn_tide_cnames, tide_harmonics, tide_components) ! ! Number of active tidal components nb_harmo = size(tide_components) ! ! Ensure that tidal components have been set in namelist_cfg IF( nb_harmo == 0 ) CALL ctl_stop( 'tide_init : No tidal components set in nam_tide' ) ! ! Reference time step for time-dependent tidal parameters kt_tide = nit000 ! IF (.NOT.ln_scal_load ) rn_scal_load = 0._wp ! ALLOCATE( amp_pot(jpi,jpj,nb_harmo), & & phi_pot(jpi,jpj,nb_harmo), pot_astro(jpi,jpj) ) IF( ln_read_load ) THEN ALLOCATE( amp_load(jpi,jpj,nb_harmo), phi_load(jpi,jpj,nb_harmo) ) ENDIF ! END SUBROUTINE tide_init SUBROUTINE tide_init_components(pcnames, ptide_comp) !!---------------------------------------------------------------------- !! *** ROUTINE tide_init_components *** !! !! Returns pointer to array of variables of type 'tide' that contain !! information about the selected tidal components !! ---------------------------------------------------------------------- CHARACTER(LEN=4), DIMENSION(jpmax_harmo), INTENT(in) :: pcnames ! Names of selected components TYPE(tide), POINTER, DIMENSION(:), INTENT(out) :: ptide_comp ! Selected components INTEGER, ALLOCATABLE, DIMENSION(:) :: kcomppos ! Indices of selected components INTEGER :: kcomp, jk, ji ! Miscellaneous integers TYPE(tide), POINTER, DIMENSION(:) :: tide_components ! All available components ! Populate local array with information about all available tidal ! components ! ! Note, here 'tide_components' locally overrides the global module ! variable of the same name to enable the use of the global name in the ! include file that contains the initialisation of elements of array ! 'tide_components' ALLOCATE(tide_components(jpmax_harmo), kcomppos(jpmax_harmo)) ! Initialise array of indices of the selected componenents kcomppos(:) = 0 ! Include tidal component parameters for all available components #include "tide.h90" ! Identify the selected components that are availble kcomp = 0 DO jk = 1, jpmax_harmo IF (TRIM(pcnames(jk)) /= '') THEN DO ji = 1, jpmax_harmo IF (TRIM(pcnames(jk)) == tide_components(ji)%cname_tide) THEN kcomp = kcomp + 1 WRITE(numout, '(10X,"Tidal component #",I2.2,36X,"= ",A4)') kcomp, pcnames(jk) kcomppos(kcomp) = ji EXIT END IF END DO END IF END DO ! Allocate and populate reduced list of components ALLOCATE(ptide_comp(kcomp)) DO jk = 1, kcomp ptide_comp(jk) = tide_components(kcomppos(jk)) END DO ! Release local array of available components and list of selected ! components DEALLOCATE(tide_components, kcomppos) END SUBROUTINE tide_init_components SUBROUTINE tide_init_harmonics(pcnames, ptide_harmo, ptide_comp) !!---------------------------------------------------------------------- !! *** ROUTINE tide_init_harmonics *** !! !! Returns pointer to array of variables of type 'tide_harmonics' that !! contain oscillation parameters of the selected harmonic tidal !! components !! ---------------------------------------------------------------------- CHARACTER(LEN=4), DIMENSION(jpmax_harmo), INTENT(in) :: pcnames ! Names of selected components TYPE(tide_harmonic), POINTER, DIMENSION(:) :: ptide_harmo ! Oscillation parameters of tidal components TYPE(tide), POINTER, DIMENSION(:), OPTIONAL :: ptide_comp ! Selected components TYPE(tide), POINTER, DIMENSION(:) :: ztcomp ! Selected components ! Retrieve information about selected tidal components ! If requested, prepare tidal component array for returning IF (PRESENT(ptide_comp)) THEN CALL tide_init_components(pcnames, ptide_comp) ztcomp => ptide_comp ELSE CALL tide_init_components(pcnames, ztcomp) END IF ! Allocate and populate array of oscillation parameters ALLOCATE(ptide_harmo(size(ztcomp))) ptide_harmo(:)%cname_tide = ztcomp(:)%cname_tide ptide_harmo(:)%equitide = ztcomp(:)%equitide CALL tide_harmo(ztcomp, ptide_harmo) END SUBROUTINE tide_init_harmonics SUBROUTINE tide_init_potential !!---------------------------------------------------------------------- !! *** ROUTINE tide_init_potential *** !!---------------------------------------------------------------------- INTEGER :: ji, jj, jk ! dummy loop indices REAL(wp) :: zcons, ztmp1, ztmp2, zlat, zlon, ztmp, zamp, zcs ! local scalar !!---------------------------------------------------------------------- DO jk = 1, nb_harmo zcons = rn_tide_gamma * tide_components(jk)%equitide * tide_harmonics(jk)%f DO ji = 1, jpi DO jj = 1, jpj ztmp1 = tide_harmonics(jk)%f * amp_pot(ji,jj,jk) * COS( phi_pot(ji,jj,jk) & & + tide_harmonics(jk)%v0 + tide_harmonics(jk)%u ) ztmp2 = -tide_harmonics(jk)%f * amp_pot(ji,jj,jk) * SIN( phi_pot(ji,jj,jk) & & + tide_harmonics(jk)%v0 + tide_harmonics(jk)%u ) zlat = gphit(ji,jj)*rad !! latitude en radian zlon = glamt(ji,jj)*rad !! longitude en radian ztmp = tide_harmonics(jk)%v0 + tide_harmonics(jk)%u + tide_components(jk)%nutide * zlon ! le potentiel est composé des effets des astres: IF ( tide_components(jk)%nutide == 1 ) THEN ; zcs = zcons * SIN( 2._wp*zlat ) ELSEIF( tide_components(jk)%nutide == 2 ) THEN ; zcs = zcons * COS( zlat )**2 ELSE ; zcs = 0._wp ENDIF ztmp1 = ztmp1 + zcs * COS( ztmp ) ztmp2 = ztmp2 - zcs * SIN( ztmp ) zamp = SQRT( ztmp1*ztmp1 + ztmp2*ztmp2 ) amp_pot(ji,jj,jk) = zamp phi_pot(ji,jj,jk) = ATAN2( -ztmp2 / MAX( 1.e-10_wp , zamp ) , & & ztmp1 / MAX( 1.e-10_wp, zamp ) ) END DO END DO END DO ! END SUBROUTINE tide_init_potential SUBROUTINE tide_init_load !!---------------------------------------------------------------------- !! *** ROUTINE tide_init_load *** !!---------------------------------------------------------------------- INTEGER :: inum ! Logical unit of input file INTEGER :: ji, jj, itide ! dummy loop indices REAL(wp), DIMENSION(jpi,jpj) :: ztr, zti !: workspace to read in tidal harmonics data !!---------------------------------------------------------------------- IF(lwp) THEN WRITE(numout,*) WRITE(numout,*) 'tide_init_load : Initialization of load potential from file' WRITE(numout,*) '~~~~~~~~~~~~~~ ' ENDIF ! CALL iom_open ( cn_tide_load , inum ) ! DO itide = 1, nb_harmo CALL iom_get ( inum, jpdom_data,TRIM(tide_components(itide)%cname_tide)//'_z1', ztr(:,:) ) CALL iom_get ( inum, jpdom_data,TRIM(tide_components(itide)%cname_tide)//'_z2', zti(:,:) ) ! DO ji=1,jpi DO jj=1,jpj amp_load(ji,jj,itide) = SQRT( ztr(ji,jj)**2. + zti(ji,jj)**2. ) phi_load(ji,jj,itide) = ATAN2(-zti(ji,jj), ztr(ji,jj) ) END DO END DO ! END DO CALL iom_close( inum ) ! END SUBROUTINE tide_init_load SUBROUTINE tide_harmo( ptide_comp, ptide_harmo ) ! TYPE(tide), DIMENSION(:), POINTER :: ptide_comp ! Array of selected tidal component parameters TYPE(tide_harmonic), DIMENSION(:), POINTER :: ptide_harmo ! Oscillation parameters of selected tidal components ! CALL astronomic_angle CALL tide_pulse( ptide_comp, ptide_harmo ) CALL tide_vuf( ptide_comp, ptide_harmo ) ! END SUBROUTINE tide_harmo SUBROUTINE astronomic_angle !!---------------------------------------------------------------------- !! tj is time elapsed since 1st January 1900, 0 hour, counted in julian !! century (e.g. time in days divide by 36525) !!---------------------------------------------------------------------- REAL(wp) :: cosI, p, q, t2, t4, sin2I, s2, tgI2, P1, sh_tgn2, at1, at2 REAL(wp) :: zqy , zsy, zday, zdj, zhfrac !!---------------------------------------------------------------------- ! zqy = AINT( (nyear-1901.)/4. ) zsy = nyear - 1900. ! zdj = dayjul( nyear, nmonth, nday ) zday = zdj + zqy - 1. ! zhfrac = nsec_day / 3600. ! !---------------------------------------------------------------------- ! Sh_n Longitude of ascending lunar node !---------------------------------------------------------------------- sh_N=(259.1560564-19.328185764*zsy-.0529539336*zday-.0022064139*zhfrac)*rad !---------------------------------------------------------------------- ! T mean solar angle (Greenwhich time) !---------------------------------------------------------------------- sh_T=(180.+zhfrac*(360./24.))*rad !---------------------------------------------------------------------- ! h mean solar Longitude !---------------------------------------------------------------------- sh_h=(280.1895014-.238724988*zsy+.9856473288*zday+.0410686387*zhfrac)*rad !---------------------------------------------------------------------- ! s mean lunar Longitude !---------------------------------------------------------------------- sh_s=(277.0256206+129.38482032*zsy+13.176396768*zday+.549016532*zhfrac)*rad !---------------------------------------------------------------------- ! p1 Longitude of solar perigee !---------------------------------------------------------------------- sh_p1=(281.2208569+.01717836*zsy+.000047064*zday+.000001961*zhfrac)*rad !---------------------------------------------------------------------- ! p Longitude of lunar perigee !---------------------------------------------------------------------- sh_p=(334.3837214+40.66246584*zsy+.111404016*zday+.004641834*zhfrac)*rad sh_N = MOD( sh_N ,2*rpi ) sh_s = MOD( sh_s ,2*rpi ) sh_h = MOD( sh_h, 2*rpi ) sh_p = MOD( sh_p, 2*rpi ) sh_p1= MOD( sh_p1,2*rpi ) cosI = 0.913694997 -0.035692561 *cos(sh_N) sh_I = ACOS( cosI ) sin2I = sin(sh_I) sh_tgn2 = tan(sh_N/2.0) at1=atan(1.01883*sh_tgn2) at2=atan(0.64412*sh_tgn2) sh_xi=-at1-at2+sh_N IF( sh_N > rpi ) sh_xi=sh_xi-2.0*rpi sh_nu = at1 - at2 !---------------------------------------------------------------------- ! For constituents l2 k1 k2 !---------------------------------------------------------------------- tgI2 = tan(sh_I/2.0) P1 = sh_p-sh_xi t2 = tgI2*tgI2 t4 = t2*t2 sh_x1ra = sqrt( 1.0-12.0*t2*cos(2.0*P1)+36.0*t4 ) p = sin(2.0*P1) q = 1.0/(6.0*t2)-cos(2.0*P1) sh_R = atan(p/q) p = sin(2.0*sh_I)*sin(sh_nu) q = sin(2.0*sh_I)*cos(sh_nu)+0.3347 sh_nuprim = atan(p/q) s2 = sin(sh_I)*sin(sh_I) p = s2*sin(2.0*sh_nu) q = s2*cos(2.0*sh_nu)+0.0727 sh_nusec = 0.5*atan(p/q) ! END SUBROUTINE astronomic_angle SUBROUTINE tide_pulse( ptide_comp, ptide_harmo ) !!---------------------------------------------------------------------- !! *** ROUTINE tide_pulse *** !! !! ** Purpose : Compute tidal frequencies !!---------------------------------------------------------------------- TYPE(tide), DIMENSION(:), POINTER :: ptide_comp ! Array of selected tidal component parameters TYPE(tide_harmonic), DIMENSION(:), POINTER :: ptide_harmo ! Oscillation parameters of selected tidal components ! INTEGER :: jh REAL(wp) :: zscale REAL(wp) :: zomega_T = 13149000.0_wp REAL(wp) :: zomega_s = 481267.892_wp REAL(wp) :: zomega_h = 36000.76892_wp REAL(wp) :: zomega_p = 4069.0322056_wp REAL(wp) :: zomega_n = 1934.1423972_wp REAL(wp) :: zomega_p1= 1.719175_wp !!---------------------------------------------------------------------- ! zscale = rad / ( 36525._wp * 86400._wp ) ! DO jh = 1, size(ptide_harmo) ptide_harmo(jh)%omega = ( zomega_T * ptide_comp( jh )%nT & & + zomega_s * ptide_comp( jh )%ns & & + zomega_h * ptide_comp( jh )%nh & & + zomega_p * ptide_comp( jh )%np & & + zomega_p1* ptide_comp( jh )%np1 ) * zscale END DO ! END SUBROUTINE tide_pulse SUBROUTINE tide_vuf( ptide_comp, ptide_harmo ) !!---------------------------------------------------------------------- !! *** ROUTINE tide_vuf *** !! !! ** Purpose : Compute nodal modulation corrections !! !! ** Outputs : vt: Phase of tidal potential relative to Greenwich (radians) !! ut: Phase correction u due to nodal motion (radians) !! ft: Nodal correction factor !!---------------------------------------------------------------------- TYPE(tide), DIMENSION(:), POINTER :: ptide_comp ! Array of selected tidal component parameters TYPE(tide_harmonic), DIMENSION(:), POINTER :: ptide_harmo ! Oscillation parameters of selected tidal components ! INTEGER :: jh ! dummy loop index !!---------------------------------------------------------------------- ! DO jh = 1, size(ptide_harmo) ! Phase of the tidal potential relative to the Greenwhich ! meridian (e.g. the position of the fictuous celestial body). Units are radian: ptide_harmo(jh)%v0 = sh_T * ptide_comp( jh )%nT & & + sh_s * ptide_comp( jh )%ns & & + sh_h * ptide_comp( jh )%nh & & + sh_p * ptide_comp( jh )%np & & + sh_p1* ptide_comp( jh )%np1 & & + ptide_comp( jh )%shift * rad ! ! Phase correction u due to nodal motion. Units are radian: ptide_harmo(jh)%u = sh_xi * ptide_comp( jh )%nksi & & + sh_nu * ptide_comp( jh )%nnu0 & & + sh_nuprim * ptide_comp( jh )%nnu1 & & + sh_nusec * ptide_comp( jh )%nnu2 & & + sh_R * ptide_comp( jh )%R ! Nodal correction factor: ptide_harmo(jh)%f = nodal_factort( ptide_comp( jh )%nformula ) END DO ! END SUBROUTINE tide_vuf RECURSIVE FUNCTION nodal_factort( kformula ) RESULT( zf ) !!---------------------------------------------------------------------- !!---------------------------------------------------------------------- INTEGER, INTENT(in) :: kformula ! REAL(wp) :: zf REAL(wp) :: zs, zf1, zf2 !!---------------------------------------------------------------------- ! SELECT CASE( kformula ) ! CASE( 0 ) !== formule 0, solar waves zf = 1.0 ! CASE( 1 ) !== formule 1, compound waves (78 x 78) zf=nodal_factort(78) zf = zf * zf ! CASE ( 2 ) !== formule 2, compound waves (78 x 0) === (78) zf1= nodal_factort(78) zf = nodal_factort( 0) zf = zf1 * zf ! CASE ( 4 ) !== formule 4, compound waves (78 x 235) zf1 = nodal_factort( 78) zf = nodal_factort(235) zf = zf1 * zf ! CASE ( 5 ) !== formule 5, compound waves (78 *78 x 235) zf1 = nodal_factort( 78) zf = nodal_factort(235) zf = zf * zf1 * zf1 ! CASE ( 6 ) !== formule 6, compound waves (78 *78 x 0) zf1 = nodal_factort(78) zf = nodal_factort( 0) zf = zf * zf1 * zf1 ! CASE( 7 ) !== formule 7, compound waves (75 x 75) zf = nodal_factort(75) zf = zf * zf ! CASE( 8 ) !== formule 8, compound waves (78 x 0 x 235) zf = nodal_factort( 78) zf1 = nodal_factort( 0) zf2 = nodal_factort(235) zf = zf * zf1 * zf2 ! CASE( 9 ) !== formule 9, compound waves (78 x 0 x 227) zf = nodal_factort( 78) zf1 = nodal_factort( 0) zf2 = nodal_factort(227) zf = zf * zf1 * zf2 ! CASE( 10 ) !== formule 10, compound waves (78 x 227) zf = nodal_factort( 78) zf1 = nodal_factort(227) zf = zf * zf1 ! CASE( 11 ) !== formule 11, compound waves (75 x 0) !!gm bug???? zf 2 fois ! zf = nodal_factort(75) zf1 = nodal_factort( 0) zf = zf * zf1 ! CASE( 12 ) !== formule 12, compound waves (78 x 78 x 78 x 0) zf1 = nodal_factort(78) zf = nodal_factort( 0) zf = zf * zf1 * zf1 * zf1 ! CASE( 13 ) !== formule 13, compound waves (78 x 75) zf1 = nodal_factort(78) zf = nodal_factort(75) zf = zf * zf1 ! CASE( 14 ) !== formule 14, compound waves (235 x 0) === (235) zf = nodal_factort(235) zf1 = nodal_factort( 0) zf = zf * zf1 ! CASE( 15 ) !== formule 15, compound waves (235 x 75) zf = nodal_factort(235) zf1 = nodal_factort( 75) zf = zf * zf1 ! CASE( 16 ) !== formule 16, compound waves (78 x 0 x 0) === (78) zf = nodal_factort(78) zf1 = nodal_factort( 0) zf = zf * zf1 * zf1 ! CASE( 17 ) !== formule 17, compound waves (227 x 0) zf1 = nodal_factort(227) zf = nodal_factort( 0) zf = zf * zf1 ! CASE( 18 ) !== formule 18, compound waves (78 x 78 x 78 ) zf1 = nodal_factort(78) zf = zf1 * zf1 * zf1 ! CASE( 19 ) !== formule 19, compound waves (78 x 0 x 0 x 0) === (78) !!gm bug2 ==>>> here identical to formule 16, a third multiplication by zf1 is missing zf = nodal_factort(78) zf1 = nodal_factort( 0) zf = zf * zf1 * zf1 ! CASE( 73 ) !== formule 73 zs = sin(sh_I) zf = (2./3.-zs*zs)/0.5021 ! CASE( 74 ) !== formule 74 zs = sin(sh_I) zf = zs * zs / 0.1578 ! CASE( 75 ) !== formule 75 zs = cos(sh_I/2) zf = sin(sh_I) * zs * zs / 0.3800 ! CASE( 76 ) !== formule 76 zf = sin(2*sh_I) / 0.7214 ! CASE( 77 ) !== formule 77 zs = sin(sh_I/2) zf = sin(sh_I) * zs * zs / 0.0164 ! CASE( 78 ) !== formule 78 zs = cos(sh_I/2) zf = zs * zs * zs * zs / 0.9154 ! CASE( 79 ) !== formule 79 zs = sin(sh_I) zf = zs * zs / 0.1565 ! CASE( 144 ) !== formule 144 zs = sin(sh_I/2) zf = ( 1-10*zs*zs+15*zs*zs*zs*zs ) * cos(sh_I/2) / 0.5873 ! CASE( 149 ) !== formule 149 zs = cos(sh_I/2) zf = zs*zs*zs*zs*zs*zs / 0.8758 ! CASE( 215 ) !== formule 215 zs = cos(sh_I/2) zf = zs*zs*zs*zs / 0.9154 * sh_x1ra ! CASE( 227 ) !== formule 227 zs = sin(2*sh_I) zf = sqrt( 0.8965*zs*zs+0.6001*zs*cos (sh_nu)+0.1006 ) ! CASE ( 235 ) !== formule 235 zs = sin(sh_I) zf = sqrt( 19.0444*zs*zs*zs*zs + 2.7702*zs*zs*cos(2*sh_nu) + .0981 ) ! END SELECT ! END FUNCTION nodal_factort FUNCTION dayjul( kyr, kmonth, kday ) !!---------------------------------------------------------------------- !! *** THIS ROUTINE COMPUTES THE JULIAN DAY (AS A REAL VARIABLE) !!---------------------------------------------------------------------- INTEGER,INTENT(in) :: kyr, kmonth, kday ! INTEGER,DIMENSION(12) :: idayt, idays INTEGER :: inc, ji REAL(wp) :: dayjul, zyq ! DATA idayt/0.,31.,59.,90.,120.,151.,181.,212.,243.,273.,304.,334./ !!---------------------------------------------------------------------- ! idays(1) = 0. idays(2) = 31. inc = 0. zyq = MOD( kyr-1900. , 4. ) IF( zyq == 0.) inc = 1. DO ji = 3, 12 idays(ji)=idayt(ji)+inc END DO dayjul = idays(kmonth) + kday ! END FUNCTION dayjul SUBROUTINE upd_tide( kt, kit, time_offset ) !!---------------------------------------------------------------------- !! *** ROUTINE upd_tide *** !! !! ** Purpose : provide at each time step the astronomical potential !! !! ** Method : computed from pulsation and amplitude of all tide components !! !! ** Action : pot_astro actronomical potential !!---------------------------------------------------------------------- INTEGER, INTENT(in) :: kt ! ocean time-step index INTEGER, INTENT(in), OPTIONAL :: kit ! external mode sub-time-step index (lk_dynspg_ts=T) INTEGER, INTENT(in), OPTIONAL :: time_offset ! time offset in number ! of internal steps (lk_dynspg_ts=F) ! of external steps (lk_dynspg_ts=T) ! INTEGER :: joffset ! local integer INTEGER :: ji, jj, jk ! dummy loop indices REAL(wp) :: zt, zramp ! local scalar REAL(wp), DIMENSION(nb_harmo) :: zwt !!---------------------------------------------------------------------- ! ! ! tide pulsation at model time step (or sub-time-step) zt = ( kt - kt_tide ) * rdt ! joffset = 0 IF( PRESENT( time_offset ) ) joffset = time_offset ! IF( PRESENT( kit ) ) THEN zt = zt + ( kit + joffset - 1 ) * rdt / REAL( nn_baro, wp ) ELSE zt = zt + joffset * rdt ENDIF ! zwt(:) = tide_harmonics(:)%omega * zt pot_astro(:,:) = 0._wp ! update tidal potential (sum of all harmonics) DO jk = 1, nb_harmo pot_astro(:,:) = pot_astro(:,:) + amp_pot(:,:,jk) * COS( zwt(jk) + phi_pot(:,:,jk) ) END DO ! IF( ln_tide_ramp ) THEN ! linear increase if asked zt = ( kt - nit000 ) * rdt IF( PRESENT( kit ) ) zt = zt + ( kit + joffset -1) * rdt / REAL( nn_baro, wp ) zramp = MIN( MAX( zt / (rn_tide_ramp_dt*rday) , 0._wp ) , 1._wp ) pot_astro(:,:) = zramp * pot_astro(:,:) ENDIF ! END SUBROUTINE upd_tide !!====================================================================== END MODULE tide_mod