[2956] | 1 | MODULE tide_mod |
---|
[4292] | 2 | !!====================================================================== |
---|
| 3 | !! *** MODULE tide_mod *** |
---|
| 4 | !! Compute nodal modulations corrections and pulsations |
---|
| 5 | !!====================================================================== |
---|
| 6 | !! History : 1.0 ! 2007 (O. Le Galloudec) Original code |
---|
| 7 | !!---------------------------------------------------------------------- |
---|
[10772] | 8 | USE oce ! ocean dynamics and tracers variables |
---|
[4292] | 9 | USE dom_oce ! ocean space and time domain |
---|
| 10 | USE phycst ! physical constant |
---|
| 11 | USE daymod ! calendar |
---|
[10772] | 12 | ! |
---|
| 13 | USE in_out_manager ! I/O units |
---|
| 14 | USE iom ! xIOs server |
---|
| 15 | USE ioipsl ! NetCDF IPSL library |
---|
| 16 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
---|
[2956] | 17 | |
---|
[4292] | 18 | IMPLICIT NONE |
---|
| 19 | PRIVATE |
---|
[2956] | 20 | |
---|
[10772] | 21 | PUBLIC tide_init |
---|
[10840] | 22 | PUBLIC tide_harmo ! called internally and by module sbdtide |
---|
[10822] | 23 | PUBLIC tide_init_harmonics ! called internally and by module diaharm |
---|
[10773] | 24 | PUBLIC tide_init_load |
---|
| 25 | PUBLIC tide_init_potential |
---|
[10777] | 26 | PUBLIC upd_tide ! called in dynspg_... modules |
---|
[2956] | 27 | |
---|
[10811] | 28 | INTEGER, PUBLIC, PARAMETER :: jpmax_harmo = 64 !: maximum number of harmonic components |
---|
[2956] | 29 | |
---|
[4292] | 30 | TYPE, PUBLIC :: tide |
---|
[10811] | 31 | CHARACTER(LEN=4) :: cname_tide = '' |
---|
[4292] | 32 | REAL(wp) :: equitide |
---|
| 33 | INTEGER :: nutide |
---|
| 34 | INTEGER :: nt, ns, nh, np, np1, shift |
---|
| 35 | INTEGER :: nksi, nnu0, nnu1, nnu2, R |
---|
| 36 | INTEGER :: nformula |
---|
| 37 | END TYPE tide |
---|
[2956] | 38 | |
---|
[10811] | 39 | TYPE(tide), PUBLIC, DIMENSION(:), POINTER :: tide_components !: Array of selected tidal component parameters |
---|
[2956] | 40 | |
---|
[10822] | 41 | TYPE, PUBLIC :: tide_harmonic !: Oscillation parameters of harmonic tidal components |
---|
| 42 | CHARACTER(LEN=4) :: cname_tide ! Name of component |
---|
| 43 | REAL(wp) :: equitide ! Amplitude of equilibrium tide |
---|
| 44 | REAL(wp) :: f ! Node factor |
---|
| 45 | REAL(wp) :: omega ! Angular velocity |
---|
| 46 | REAL(wp) :: v0 ! Initial phase at prime meridian |
---|
| 47 | REAL(wp) :: u ! Phase correction |
---|
| 48 | END type tide_harmonic |
---|
[10772] | 49 | |
---|
[10822] | 50 | TYPE(tide_harmonic), PUBLIC, DIMENSION(:), POINTER :: tide_harmonics !: Oscillation parameters of selected tidal components |
---|
| 51 | |
---|
[10772] | 52 | LOGICAL , PUBLIC :: ln_tide !: |
---|
| 53 | LOGICAL , PUBLIC :: ln_tide_pot !: |
---|
| 54 | LOGICAL , PUBLIC :: ln_read_load !: |
---|
| 55 | LOGICAL , PUBLIC :: ln_scal_load !: |
---|
| 56 | LOGICAL , PUBLIC :: ln_tide_ramp !: |
---|
[10811] | 57 | INTEGER , PUBLIC :: nb_harmo !: Number of active tidal components |
---|
[10772] | 58 | INTEGER , PUBLIC :: kt_tide !: |
---|
[10800] | 59 | REAL(wp), PUBLIC :: rn_tide_ramp_dt !: |
---|
[10772] | 60 | REAL(wp), PUBLIC :: rn_scal_load !: |
---|
| 61 | CHARACTER(lc), PUBLIC :: cn_tide_load !: |
---|
[10793] | 62 | REAL(wp) :: rn_tide_gamma ! Tidal tilt factor |
---|
[10772] | 63 | |
---|
[10773] | 64 | REAL(wp), PUBLIC, ALLOCATABLE, DIMENSION(:,:) :: pot_astro !: tidal potential |
---|
| 65 | REAL(wp), PUBLIC, ALLOCATABLE, DIMENSION(:,:,:) :: amp_pot, phi_pot |
---|
| 66 | REAL(wp), PUBLIC, ALLOCATABLE, DIMENSION(:,:,:) :: amp_load, phi_load |
---|
| 67 | |
---|
| 68 | |
---|
[4292] | 69 | REAL(wp) :: sh_T, sh_s, sh_h, sh_p, sh_p1 ! astronomic angles |
---|
| 70 | REAL(wp) :: sh_xi, sh_nu, sh_nuprim, sh_nusec, sh_R ! |
---|
| 71 | REAL(wp) :: sh_I, sh_x1ra, sh_N ! |
---|
[2956] | 72 | |
---|
[4292] | 73 | !!---------------------------------------------------------------------- |
---|
[10068] | 74 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
---|
[5215] | 75 | !! $Id$ |
---|
[10068] | 76 | !! Software governed by the CeCILL license (see ./LICENSE) |
---|
[4292] | 77 | !!---------------------------------------------------------------------- |
---|
[2956] | 78 | CONTAINS |
---|
| 79 | |
---|
[10772] | 80 | SUBROUTINE tide_init |
---|
| 81 | !!---------------------------------------------------------------------- |
---|
| 82 | !! *** ROUTINE tide_init *** |
---|
| 83 | !!---------------------------------------------------------------------- |
---|
| 84 | INTEGER :: ji, jk |
---|
[10811] | 85 | CHARACTER(LEN=4), DIMENSION(jpmax_harmo) :: sn_tide_cnames ! Names of selected tidal components |
---|
[10772] | 86 | INTEGER :: ios ! Local integer output status for namelist read |
---|
| 87 | ! |
---|
[10793] | 88 | NAMELIST/nam_tide/ln_tide, ln_tide_pot, rn_tide_gamma, ln_scal_load, ln_read_load, cn_tide_load, & |
---|
[10800] | 89 | & ln_tide_ramp, rn_scal_load, rn_tide_ramp_dt, sn_tide_cnames |
---|
[10772] | 90 | !!---------------------------------------------------------------------- |
---|
| 91 | ! |
---|
[10811] | 92 | ! Initialise all array elements of sn_tide_cnames, as some of them |
---|
| 93 | ! typically do not appear in namelist_ref or namelist_cfg |
---|
| 94 | sn_tide_cnames(:) = '' |
---|
[10772] | 95 | ! Read Namelist nam_tide |
---|
| 96 | REWIND( numnam_ref ) ! Namelist nam_tide in reference namelist : Tides |
---|
| 97 | READ ( numnam_ref, nam_tide, IOSTAT = ios, ERR = 901) |
---|
| 98 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'nam_tide in reference namelist', lwp ) |
---|
| 99 | ! |
---|
| 100 | REWIND( numnam_cfg ) ! Namelist nam_tide in configuration namelist : Tides |
---|
| 101 | READ ( numnam_cfg, nam_tide, IOSTAT = ios, ERR = 902 ) |
---|
| 102 | 902 IF( ios > 0 ) CALL ctl_nam ( ios , 'nam_tide in configuration namelist', lwp ) |
---|
| 103 | IF(lwm) WRITE ( numond, nam_tide ) |
---|
| 104 | ! |
---|
| 105 | IF( ln_tide ) THEN |
---|
| 106 | IF (lwp) THEN |
---|
| 107 | WRITE(numout,*) |
---|
| 108 | WRITE(numout,*) 'tide_init : Initialization of the tidal components' |
---|
| 109 | WRITE(numout,*) '~~~~~~~~~ ' |
---|
| 110 | WRITE(numout,*) ' Namelist nam_tide' |
---|
[10800] | 111 | WRITE(numout,*) ' Use tidal components ln_tide = ', ln_tide |
---|
| 112 | WRITE(numout,*) ' Apply astronomical potential ln_tide_pot = ', ln_tide_pot |
---|
| 113 | WRITE(numout,*) ' Tidal tilt factor rn_tide_gamma = ', rn_tide_gamma |
---|
| 114 | WRITE(numout,*) ' Use scalar approx. for load potential ln_scal_load = ', ln_scal_load |
---|
| 115 | WRITE(numout,*) ' Read load potential from file ln_read_load = ', ln_read_load |
---|
| 116 | WRITE(numout,*) ' Apply ramp on tides at startup ln_tide_ramp = ', ln_tide_ramp |
---|
| 117 | WRITE(numout,*) ' Fraction of SSH used in scal. approx. rn_scal_load = ', rn_scal_load |
---|
| 118 | WRITE(numout,*) ' Duration (days) of ramp rn_tide_ramp_dt = ', rn_tide_ramp_dt |
---|
[10772] | 119 | ENDIF |
---|
| 120 | ELSE |
---|
| 121 | rn_scal_load = 0._wp |
---|
| 122 | |
---|
| 123 | IF(lwp) WRITE(numout,*) |
---|
| 124 | IF(lwp) WRITE(numout,*) 'tide_init : tidal components not used (ln_tide = F)' |
---|
| 125 | IF(lwp) WRITE(numout,*) '~~~~~~~~~ ' |
---|
| 126 | RETURN |
---|
| 127 | ENDIF |
---|
| 128 | ! |
---|
| 129 | IF( ln_read_load.AND.(.NOT.ln_tide_pot) ) & |
---|
| 130 | & CALL ctl_stop('ln_read_load requires ln_tide_pot') |
---|
| 131 | IF( ln_scal_load.AND.(.NOT.ln_tide_pot) ) & |
---|
| 132 | & CALL ctl_stop('ln_scal_load requires ln_tide_pot') |
---|
| 133 | IF( ln_scal_load.AND.ln_read_load ) & |
---|
| 134 | & CALL ctl_stop('Choose between ln_scal_load and ln_read_load') |
---|
[10800] | 135 | IF( ln_tide_ramp.AND.((nitend-nit000+1)*rdt/rday < rn_tide_ramp_dt) ) & |
---|
| 136 | & CALL ctl_stop('rn_tide_ramp_dt must be lower than run duration') |
---|
| 137 | IF( ln_tide_ramp.AND.(rn_tide_ramp_dt<0.) ) & |
---|
| 138 | & CALL ctl_stop('rn_tide_ramp_dt must be positive') |
---|
[10772] | 139 | ! |
---|
[10822] | 140 | ! Initialise array used to store tidal oscillation parameters (frequency, |
---|
[10840] | 141 | ! amplitude, phase); also retrieve and store array of information about |
---|
| 142 | ! selected tidal components |
---|
| 143 | CALL tide_init_harmonics(sn_tide_cnames, tide_harmonics, tide_components) |
---|
[10822] | 144 | ! |
---|
[10840] | 145 | ! Number of active tidal components |
---|
| 146 | nb_harmo = size(tide_components) |
---|
| 147 | ! |
---|
| 148 | ! Ensure that tidal components have been set in namelist_cfg |
---|
| 149 | IF( nb_harmo == 0 ) CALL ctl_stop( 'tide_init : No tidal components set in nam_tide' ) |
---|
| 150 | ! |
---|
[10822] | 151 | ! Reference time step for time-dependent tidal parameters |
---|
[10772] | 152 | kt_tide = nit000 |
---|
| 153 | ! |
---|
| 154 | IF (.NOT.ln_scal_load ) rn_scal_load = 0._wp |
---|
| 155 | ! |
---|
[10773] | 156 | ALLOCATE( amp_pot(jpi,jpj,nb_harmo), & |
---|
| 157 | & phi_pot(jpi,jpj,nb_harmo), pot_astro(jpi,jpj) ) |
---|
| 158 | IF( ln_read_load ) THEN |
---|
| 159 | ALLOCATE( amp_load(jpi,jpj,nb_harmo), phi_load(jpi,jpj,nb_harmo) ) |
---|
| 160 | ENDIF |
---|
| 161 | ! |
---|
[10772] | 162 | END SUBROUTINE tide_init |
---|
| 163 | |
---|
| 164 | |
---|
[10811] | 165 | SUBROUTINE tide_init_components(pcnames, ptide_comp) |
---|
| 166 | !!---------------------------------------------------------------------- |
---|
| 167 | !! *** ROUTINE tide_init_components *** |
---|
| 168 | !! |
---|
| 169 | !! Returns pointer to array of variables of type 'tide' that contain |
---|
| 170 | !! information about the selected tidal components |
---|
| 171 | !! ---------------------------------------------------------------------- |
---|
| 172 | CHARACTER(LEN=4), DIMENSION(jpmax_harmo), INTENT(in) :: pcnames ! Names of selected components |
---|
| 173 | TYPE(tide), POINTER, DIMENSION(:), INTENT(out) :: ptide_comp ! Selected components |
---|
| 174 | INTEGER, ALLOCATABLE, DIMENSION(:) :: kcomppos ! Indices of selected components |
---|
| 175 | INTEGER :: kcomp, jk, ji ! Miscellaneous integers |
---|
| 176 | TYPE(tide), POINTER, DIMENSION(:) :: tide_components ! All available components |
---|
| 177 | |
---|
| 178 | ! Populate local array with information about all available tidal |
---|
| 179 | ! components |
---|
| 180 | ! |
---|
| 181 | ! Note, here 'tide_components' locally overrides the global module |
---|
| 182 | ! variable of the same name to enable the use of the global name in the |
---|
| 183 | ! include file that contains the initialisation of elements of array |
---|
| 184 | ! 'tide_components' |
---|
| 185 | ALLOCATE(tide_components(jpmax_harmo), kcomppos(jpmax_harmo)) |
---|
| 186 | ! Initialise array of indices of the selected componenents |
---|
| 187 | kcomppos(:) = 0 |
---|
| 188 | ! Include tidal component parameters for all available components |
---|
| 189 | #include "tide.h90" |
---|
| 190 | |
---|
| 191 | ! Identify the selected components that are availble |
---|
| 192 | kcomp = 0 |
---|
| 193 | DO jk = 1, jpmax_harmo |
---|
| 194 | IF (TRIM(pcnames(jk)) /= '') THEN |
---|
| 195 | DO ji = 1, jpmax_harmo |
---|
| 196 | IF (TRIM(pcnames(jk)) == tide_components(ji)%cname_tide) THEN |
---|
| 197 | kcomp = kcomp + 1 |
---|
| 198 | WRITE(numout, '(10X,"Tidal component #",I2.2,36X,"= ",A4)') kcomp, pcnames(jk) |
---|
| 199 | kcomppos(kcomp) = ji |
---|
| 200 | EXIT |
---|
| 201 | END IF |
---|
| 202 | END DO |
---|
| 203 | END IF |
---|
| 204 | END DO |
---|
| 205 | |
---|
| 206 | ! Allocate and populate reduced list of components |
---|
| 207 | ALLOCATE(ptide_comp(kcomp)) |
---|
| 208 | DO jk = 1, kcomp |
---|
| 209 | ptide_comp(jk) = tide_components(kcomppos(jk)) |
---|
| 210 | END DO |
---|
| 211 | |
---|
| 212 | ! Release local array of available components and list of selected |
---|
| 213 | ! components |
---|
| 214 | DEALLOCATE(tide_components, kcomppos) |
---|
| 215 | |
---|
| 216 | END SUBROUTINE tide_init_components |
---|
[2956] | 217 | |
---|
| 218 | |
---|
[10840] | 219 | SUBROUTINE tide_init_harmonics(pcnames, ptide_harmo, ptide_comp) |
---|
[10822] | 220 | !!---------------------------------------------------------------------- |
---|
| 221 | !! *** ROUTINE tide_init_harmonics *** |
---|
| 222 | !! |
---|
| 223 | !! Returns pointer to array of variables of type 'tide_harmonics' that |
---|
| 224 | !! contain oscillation parameters of the selected harmonic tidal |
---|
| 225 | !! components |
---|
| 226 | !! ---------------------------------------------------------------------- |
---|
[10840] | 227 | CHARACTER(LEN=4), DIMENSION(jpmax_harmo), INTENT(in) :: pcnames ! Names of selected components |
---|
| 228 | TYPE(tide_harmonic), POINTER, DIMENSION(:) :: ptide_harmo ! Oscillation parameters of tidal components |
---|
| 229 | TYPE(tide), POINTER, DIMENSION(:), OPTIONAL :: ptide_comp ! Selected components |
---|
| 230 | TYPE(tide), POINTER, DIMENSION(:) :: ztcomp ! Selected components |
---|
[10822] | 231 | |
---|
[10840] | 232 | ! Retrieve information about selected tidal components |
---|
| 233 | ! If requested, prepare tidal component array for returning |
---|
| 234 | IF (PRESENT(ptide_comp)) THEN |
---|
| 235 | CALL tide_init_components(pcnames, ptide_comp) |
---|
| 236 | ztcomp => ptide_comp |
---|
| 237 | ELSE |
---|
| 238 | CALL tide_init_components(pcnames, ztcomp) |
---|
| 239 | END IF |
---|
| 240 | |
---|
[10822] | 241 | ! Allocate and populate array of oscillation parameters |
---|
[10840] | 242 | ALLOCATE(ptide_harmo(size(ztcomp))) |
---|
| 243 | ptide_harmo(:)%cname_tide = ztcomp(:)%cname_tide |
---|
| 244 | ptide_harmo(:)%equitide = ztcomp(:)%equitide |
---|
| 245 | CALL tide_harmo(ztcomp, ptide_harmo) |
---|
[10822] | 246 | |
---|
| 247 | END SUBROUTINE tide_init_harmonics |
---|
| 248 | |
---|
| 249 | |
---|
[10773] | 250 | SUBROUTINE tide_init_potential |
---|
| 251 | !!---------------------------------------------------------------------- |
---|
| 252 | !! *** ROUTINE tide_init_potential *** |
---|
| 253 | !!---------------------------------------------------------------------- |
---|
| 254 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 255 | REAL(wp) :: zcons, ztmp1, ztmp2, zlat, zlon, ztmp, zamp, zcs ! local scalar |
---|
| 256 | !!---------------------------------------------------------------------- |
---|
| 257 | |
---|
| 258 | DO jk = 1, nb_harmo |
---|
[10822] | 259 | zcons = rn_tide_gamma * tide_components(jk)%equitide * tide_harmonics(jk)%f |
---|
[10773] | 260 | DO ji = 1, jpi |
---|
| 261 | DO jj = 1, jpj |
---|
[10822] | 262 | ztmp1 = tide_harmonics(jk)%f * amp_pot(ji,jj,jk) * COS( phi_pot(ji,jj,jk) & |
---|
| 263 | & + tide_harmonics(jk)%v0 + tide_harmonics(jk)%u ) |
---|
| 264 | ztmp2 = -tide_harmonics(jk)%f * amp_pot(ji,jj,jk) * SIN( phi_pot(ji,jj,jk) & |
---|
| 265 | & + tide_harmonics(jk)%v0 + tide_harmonics(jk)%u ) |
---|
[10773] | 266 | zlat = gphit(ji,jj)*rad !! latitude en radian |
---|
| 267 | zlon = glamt(ji,jj)*rad !! longitude en radian |
---|
[10822] | 268 | ztmp = tide_harmonics(jk)%v0 + tide_harmonics(jk)%u + tide_components(jk)%nutide * zlon |
---|
[10773] | 269 | ! le potentiel est composé des effets des astres: |
---|
[10811] | 270 | IF ( tide_components(jk)%nutide == 1 ) THEN ; zcs = zcons * SIN( 2._wp*zlat ) |
---|
| 271 | ELSEIF( tide_components(jk)%nutide == 2 ) THEN ; zcs = zcons * COS( zlat )**2 |
---|
[10773] | 272 | ELSE ; zcs = 0._wp |
---|
| 273 | ENDIF |
---|
| 274 | ztmp1 = ztmp1 + zcs * COS( ztmp ) |
---|
| 275 | ztmp2 = ztmp2 - zcs * SIN( ztmp ) |
---|
| 276 | zamp = SQRT( ztmp1*ztmp1 + ztmp2*ztmp2 ) |
---|
| 277 | amp_pot(ji,jj,jk) = zamp |
---|
| 278 | phi_pot(ji,jj,jk) = ATAN2( -ztmp2 / MAX( 1.e-10_wp , zamp ) , & |
---|
| 279 | & ztmp1 / MAX( 1.e-10_wp, zamp ) ) |
---|
| 280 | END DO |
---|
| 281 | END DO |
---|
| 282 | END DO |
---|
| 283 | ! |
---|
| 284 | END SUBROUTINE tide_init_potential |
---|
| 285 | |
---|
| 286 | |
---|
| 287 | SUBROUTINE tide_init_load |
---|
| 288 | !!---------------------------------------------------------------------- |
---|
| 289 | !! *** ROUTINE tide_init_load *** |
---|
| 290 | !!---------------------------------------------------------------------- |
---|
| 291 | INTEGER :: inum ! Logical unit of input file |
---|
| 292 | INTEGER :: ji, jj, itide ! dummy loop indices |
---|
| 293 | REAL(wp), DIMENSION(jpi,jpj) :: ztr, zti !: workspace to read in tidal harmonics data |
---|
| 294 | !!---------------------------------------------------------------------- |
---|
| 295 | IF(lwp) THEN |
---|
| 296 | WRITE(numout,*) |
---|
| 297 | WRITE(numout,*) 'tide_init_load : Initialization of load potential from file' |
---|
| 298 | WRITE(numout,*) '~~~~~~~~~~~~~~ ' |
---|
| 299 | ENDIF |
---|
| 300 | ! |
---|
| 301 | CALL iom_open ( cn_tide_load , inum ) |
---|
| 302 | ! |
---|
| 303 | DO itide = 1, nb_harmo |
---|
[10811] | 304 | CALL iom_get ( inum, jpdom_data,TRIM(tide_components(itide)%cname_tide)//'_z1', ztr(:,:) ) |
---|
| 305 | CALL iom_get ( inum, jpdom_data,TRIM(tide_components(itide)%cname_tide)//'_z2', zti(:,:) ) |
---|
[10773] | 306 | ! |
---|
| 307 | DO ji=1,jpi |
---|
| 308 | DO jj=1,jpj |
---|
| 309 | amp_load(ji,jj,itide) = SQRT( ztr(ji,jj)**2. + zti(ji,jj)**2. ) |
---|
| 310 | phi_load(ji,jj,itide) = ATAN2(-zti(ji,jj), ztr(ji,jj) ) |
---|
| 311 | END DO |
---|
| 312 | END DO |
---|
| 313 | ! |
---|
| 314 | END DO |
---|
| 315 | CALL iom_close( inum ) |
---|
| 316 | ! |
---|
| 317 | END SUBROUTINE tide_init_load |
---|
| 318 | |
---|
| 319 | |
---|
[10822] | 320 | SUBROUTINE tide_harmo( ptide_comp, ptide_harmo ) |
---|
[4292] | 321 | ! |
---|
[10822] | 322 | TYPE(tide), DIMENSION(:), POINTER :: ptide_comp ! Array of selected tidal component parameters |
---|
| 323 | TYPE(tide_harmonic), DIMENSION(:), POINTER :: ptide_harmo ! Oscillation parameters of selected tidal components |
---|
| 324 | ! |
---|
[4292] | 325 | CALL astronomic_angle |
---|
[10822] | 326 | CALL tide_pulse( ptide_comp, ptide_harmo ) |
---|
| 327 | CALL tide_vuf( ptide_comp, ptide_harmo ) |
---|
[4292] | 328 | ! |
---|
| 329 | END SUBROUTINE tide_harmo |
---|
[2956] | 330 | |
---|
| 331 | |
---|
[4292] | 332 | SUBROUTINE astronomic_angle |
---|
| 333 | !!---------------------------------------------------------------------- |
---|
| 334 | !! tj is time elapsed since 1st January 1900, 0 hour, counted in julian |
---|
| 335 | !! century (e.g. time in days divide by 36525) |
---|
| 336 | !!---------------------------------------------------------------------- |
---|
| 337 | REAL(wp) :: cosI, p, q, t2, t4, sin2I, s2, tgI2, P1, sh_tgn2, at1, at2 |
---|
| 338 | REAL(wp) :: zqy , zsy, zday, zdj, zhfrac |
---|
| 339 | !!---------------------------------------------------------------------- |
---|
| 340 | ! |
---|
| 341 | zqy = AINT( (nyear-1901.)/4. ) |
---|
| 342 | zsy = nyear - 1900. |
---|
| 343 | ! |
---|
| 344 | zdj = dayjul( nyear, nmonth, nday ) |
---|
| 345 | zday = zdj + zqy - 1. |
---|
| 346 | ! |
---|
| 347 | zhfrac = nsec_day / 3600. |
---|
| 348 | ! |
---|
| 349 | !---------------------------------------------------------------------- |
---|
| 350 | ! Sh_n Longitude of ascending lunar node |
---|
| 351 | !---------------------------------------------------------------------- |
---|
| 352 | sh_N=(259.1560564-19.328185764*zsy-.0529539336*zday-.0022064139*zhfrac)*rad |
---|
| 353 | !---------------------------------------------------------------------- |
---|
| 354 | ! T mean solar angle (Greenwhich time) |
---|
| 355 | !---------------------------------------------------------------------- |
---|
| 356 | sh_T=(180.+zhfrac*(360./24.))*rad |
---|
| 357 | !---------------------------------------------------------------------- |
---|
| 358 | ! h mean solar Longitude |
---|
| 359 | !---------------------------------------------------------------------- |
---|
| 360 | sh_h=(280.1895014-.238724988*zsy+.9856473288*zday+.0410686387*zhfrac)*rad |
---|
| 361 | !---------------------------------------------------------------------- |
---|
| 362 | ! s mean lunar Longitude |
---|
| 363 | !---------------------------------------------------------------------- |
---|
| 364 | sh_s=(277.0256206+129.38482032*zsy+13.176396768*zday+.549016532*zhfrac)*rad |
---|
| 365 | !---------------------------------------------------------------------- |
---|
| 366 | ! p1 Longitude of solar perigee |
---|
| 367 | !---------------------------------------------------------------------- |
---|
| 368 | sh_p1=(281.2208569+.01717836*zsy+.000047064*zday+.000001961*zhfrac)*rad |
---|
| 369 | !---------------------------------------------------------------------- |
---|
| 370 | ! p Longitude of lunar perigee |
---|
| 371 | !---------------------------------------------------------------------- |
---|
| 372 | sh_p=(334.3837214+40.66246584*zsy+.111404016*zday+.004641834*zhfrac)*rad |
---|
[2956] | 373 | |
---|
[4292] | 374 | sh_N = MOD( sh_N ,2*rpi ) |
---|
| 375 | sh_s = MOD( sh_s ,2*rpi ) |
---|
| 376 | sh_h = MOD( sh_h, 2*rpi ) |
---|
| 377 | sh_p = MOD( sh_p, 2*rpi ) |
---|
| 378 | sh_p1= MOD( sh_p1,2*rpi ) |
---|
[2956] | 379 | |
---|
[4292] | 380 | cosI = 0.913694997 -0.035692561 *cos(sh_N) |
---|
[2956] | 381 | |
---|
[4292] | 382 | sh_I = ACOS( cosI ) |
---|
[2956] | 383 | |
---|
[4292] | 384 | sin2I = sin(sh_I) |
---|
| 385 | sh_tgn2 = tan(sh_N/2.0) |
---|
[2956] | 386 | |
---|
[4292] | 387 | at1=atan(1.01883*sh_tgn2) |
---|
| 388 | at2=atan(0.64412*sh_tgn2) |
---|
[2956] | 389 | |
---|
[4292] | 390 | sh_xi=-at1-at2+sh_N |
---|
[2956] | 391 | |
---|
[4292] | 392 | IF( sh_N > rpi ) sh_xi=sh_xi-2.0*rpi |
---|
[2956] | 393 | |
---|
[4292] | 394 | sh_nu = at1 - at2 |
---|
[2956] | 395 | |
---|
[4292] | 396 | !---------------------------------------------------------------------- |
---|
| 397 | ! For constituents l2 k1 k2 |
---|
| 398 | !---------------------------------------------------------------------- |
---|
[2956] | 399 | |
---|
[4292] | 400 | tgI2 = tan(sh_I/2.0) |
---|
| 401 | P1 = sh_p-sh_xi |
---|
[2956] | 402 | |
---|
[4292] | 403 | t2 = tgI2*tgI2 |
---|
| 404 | t4 = t2*t2 |
---|
| 405 | sh_x1ra = sqrt( 1.0-12.0*t2*cos(2.0*P1)+36.0*t4 ) |
---|
[2956] | 406 | |
---|
[4292] | 407 | p = sin(2.0*P1) |
---|
| 408 | q = 1.0/(6.0*t2)-cos(2.0*P1) |
---|
| 409 | sh_R = atan(p/q) |
---|
[2956] | 410 | |
---|
[4292] | 411 | p = sin(2.0*sh_I)*sin(sh_nu) |
---|
| 412 | q = sin(2.0*sh_I)*cos(sh_nu)+0.3347 |
---|
| 413 | sh_nuprim = atan(p/q) |
---|
[2956] | 414 | |
---|
[4292] | 415 | s2 = sin(sh_I)*sin(sh_I) |
---|
| 416 | p = s2*sin(2.0*sh_nu) |
---|
| 417 | q = s2*cos(2.0*sh_nu)+0.0727 |
---|
| 418 | sh_nusec = 0.5*atan(p/q) |
---|
| 419 | ! |
---|
| 420 | END SUBROUTINE astronomic_angle |
---|
[2956] | 421 | |
---|
| 422 | |
---|
[10822] | 423 | SUBROUTINE tide_pulse( ptide_comp, ptide_harmo ) |
---|
[4292] | 424 | !!---------------------------------------------------------------------- |
---|
| 425 | !! *** ROUTINE tide_pulse *** |
---|
| 426 | !! |
---|
| 427 | !! ** Purpose : Compute tidal frequencies |
---|
| 428 | !!---------------------------------------------------------------------- |
---|
[10822] | 429 | TYPE(tide), DIMENSION(:), POINTER :: ptide_comp ! Array of selected tidal component parameters |
---|
| 430 | TYPE(tide_harmonic), DIMENSION(:), POINTER :: ptide_harmo ! Oscillation parameters of selected tidal components |
---|
[4292] | 431 | ! |
---|
| 432 | INTEGER :: jh |
---|
| 433 | REAL(wp) :: zscale |
---|
| 434 | REAL(wp) :: zomega_T = 13149000.0_wp |
---|
| 435 | REAL(wp) :: zomega_s = 481267.892_wp |
---|
| 436 | REAL(wp) :: zomega_h = 36000.76892_wp |
---|
| 437 | REAL(wp) :: zomega_p = 4069.0322056_wp |
---|
| 438 | REAL(wp) :: zomega_n = 1934.1423972_wp |
---|
| 439 | REAL(wp) :: zomega_p1= 1.719175_wp |
---|
| 440 | !!---------------------------------------------------------------------- |
---|
| 441 | ! |
---|
| 442 | zscale = rad / ( 36525._wp * 86400._wp ) |
---|
| 443 | ! |
---|
[10839] | 444 | DO jh = 1, size(ptide_harmo) |
---|
[10822] | 445 | ptide_harmo(jh)%omega = ( zomega_T * ptide_comp( jh )%nT & |
---|
| 446 | & + zomega_s * ptide_comp( jh )%ns & |
---|
| 447 | & + zomega_h * ptide_comp( jh )%nh & |
---|
| 448 | & + zomega_p * ptide_comp( jh )%np & |
---|
| 449 | & + zomega_p1* ptide_comp( jh )%np1 ) * zscale |
---|
[4292] | 450 | END DO |
---|
| 451 | ! |
---|
| 452 | END SUBROUTINE tide_pulse |
---|
[2956] | 453 | |
---|
| 454 | |
---|
[10822] | 455 | SUBROUTINE tide_vuf( ptide_comp, ptide_harmo ) |
---|
[4292] | 456 | !!---------------------------------------------------------------------- |
---|
| 457 | !! *** ROUTINE tide_vuf *** |
---|
| 458 | !! |
---|
| 459 | !! ** Purpose : Compute nodal modulation corrections |
---|
| 460 | !! |
---|
| 461 | !! ** Outputs : vt: Phase of tidal potential relative to Greenwich (radians) |
---|
| 462 | !! ut: Phase correction u due to nodal motion (radians) |
---|
| 463 | !! ft: Nodal correction factor |
---|
| 464 | !!---------------------------------------------------------------------- |
---|
[10822] | 465 | TYPE(tide), DIMENSION(:), POINTER :: ptide_comp ! Array of selected tidal component parameters |
---|
| 466 | TYPE(tide_harmonic), DIMENSION(:), POINTER :: ptide_harmo ! Oscillation parameters of selected tidal components |
---|
[4292] | 467 | ! |
---|
| 468 | INTEGER :: jh ! dummy loop index |
---|
| 469 | !!---------------------------------------------------------------------- |
---|
| 470 | ! |
---|
[10839] | 471 | DO jh = 1, size(ptide_harmo) |
---|
[4292] | 472 | ! Phase of the tidal potential relative to the Greenwhich |
---|
| 473 | ! meridian (e.g. the position of the fictuous celestial body). Units are radian: |
---|
[10822] | 474 | ptide_harmo(jh)%v0 = sh_T * ptide_comp( jh )%nT & |
---|
| 475 | & + sh_s * ptide_comp( jh )%ns & |
---|
| 476 | & + sh_h * ptide_comp( jh )%nh & |
---|
| 477 | & + sh_p * ptide_comp( jh )%np & |
---|
| 478 | & + sh_p1* ptide_comp( jh )%np1 & |
---|
| 479 | & + ptide_comp( jh )%shift * rad |
---|
[4292] | 480 | ! |
---|
| 481 | ! Phase correction u due to nodal motion. Units are radian: |
---|
[10822] | 482 | ptide_harmo(jh)%u = sh_xi * ptide_comp( jh )%nksi & |
---|
| 483 | & + sh_nu * ptide_comp( jh )%nnu0 & |
---|
| 484 | & + sh_nuprim * ptide_comp( jh )%nnu1 & |
---|
| 485 | & + sh_nusec * ptide_comp( jh )%nnu2 & |
---|
| 486 | & + sh_R * ptide_comp( jh )%R |
---|
[2956] | 487 | |
---|
[4292] | 488 | ! Nodal correction factor: |
---|
[10822] | 489 | ptide_harmo(jh)%f = nodal_factort( ptide_comp( jh )%nformula ) |
---|
[4292] | 490 | END DO |
---|
| 491 | ! |
---|
| 492 | END SUBROUTINE tide_vuf |
---|
[2956] | 493 | |
---|
| 494 | |
---|
[4292] | 495 | RECURSIVE FUNCTION nodal_factort( kformula ) RESULT( zf ) |
---|
| 496 | !!---------------------------------------------------------------------- |
---|
| 497 | !!---------------------------------------------------------------------- |
---|
| 498 | INTEGER, INTENT(in) :: kformula |
---|
| 499 | ! |
---|
| 500 | REAL(wp) :: zf |
---|
| 501 | REAL(wp) :: zs, zf1, zf2 |
---|
| 502 | !!---------------------------------------------------------------------- |
---|
| 503 | ! |
---|
| 504 | SELECT CASE( kformula ) |
---|
| 505 | ! |
---|
| 506 | CASE( 0 ) !== formule 0, solar waves |
---|
| 507 | zf = 1.0 |
---|
| 508 | ! |
---|
| 509 | CASE( 1 ) !== formule 1, compound waves (78 x 78) |
---|
| 510 | zf=nodal_factort(78) |
---|
| 511 | zf = zf * zf |
---|
| 512 | ! |
---|
| 513 | CASE ( 2 ) !== formule 2, compound waves (78 x 0) === (78) |
---|
| 514 | zf1= nodal_factort(78) |
---|
| 515 | zf = nodal_factort( 0) |
---|
| 516 | zf = zf1 * zf |
---|
[2956] | 517 | ! |
---|
[4292] | 518 | CASE ( 4 ) !== formule 4, compound waves (78 x 235) |
---|
| 519 | zf1 = nodal_factort( 78) |
---|
| 520 | zf = nodal_factort(235) |
---|
| 521 | zf = zf1 * zf |
---|
| 522 | ! |
---|
| 523 | CASE ( 5 ) !== formule 5, compound waves (78 *78 x 235) |
---|
| 524 | zf1 = nodal_factort( 78) |
---|
| 525 | zf = nodal_factort(235) |
---|
| 526 | zf = zf * zf1 * zf1 |
---|
| 527 | ! |
---|
| 528 | CASE ( 6 ) !== formule 6, compound waves (78 *78 x 0) |
---|
| 529 | zf1 = nodal_factort(78) |
---|
| 530 | zf = nodal_factort( 0) |
---|
| 531 | zf = zf * zf1 * zf1 |
---|
| 532 | ! |
---|
| 533 | CASE( 7 ) !== formule 7, compound waves (75 x 75) |
---|
| 534 | zf = nodal_factort(75) |
---|
| 535 | zf = zf * zf |
---|
| 536 | ! |
---|
| 537 | CASE( 8 ) !== formule 8, compound waves (78 x 0 x 235) |
---|
| 538 | zf = nodal_factort( 78) |
---|
| 539 | zf1 = nodal_factort( 0) |
---|
| 540 | zf2 = nodal_factort(235) |
---|
| 541 | zf = zf * zf1 * zf2 |
---|
| 542 | ! |
---|
| 543 | CASE( 9 ) !== formule 9, compound waves (78 x 0 x 227) |
---|
| 544 | zf = nodal_factort( 78) |
---|
| 545 | zf1 = nodal_factort( 0) |
---|
| 546 | zf2 = nodal_factort(227) |
---|
| 547 | zf = zf * zf1 * zf2 |
---|
| 548 | ! |
---|
| 549 | CASE( 10 ) !== formule 10, compound waves (78 x 227) |
---|
| 550 | zf = nodal_factort( 78) |
---|
| 551 | zf1 = nodal_factort(227) |
---|
| 552 | zf = zf * zf1 |
---|
| 553 | ! |
---|
| 554 | CASE( 11 ) !== formule 11, compound waves (75 x 0) |
---|
| 555 | !!gm bug???? zf 2 fois ! |
---|
| 556 | zf = nodal_factort(75) |
---|
[9023] | 557 | zf1 = nodal_factort( 0) |
---|
[4292] | 558 | zf = zf * zf1 |
---|
| 559 | ! |
---|
| 560 | CASE( 12 ) !== formule 12, compound waves (78 x 78 x 78 x 0) |
---|
| 561 | zf1 = nodal_factort(78) |
---|
| 562 | zf = nodal_factort( 0) |
---|
| 563 | zf = zf * zf1 * zf1 * zf1 |
---|
| 564 | ! |
---|
| 565 | CASE( 13 ) !== formule 13, compound waves (78 x 75) |
---|
| 566 | zf1 = nodal_factort(78) |
---|
| 567 | zf = nodal_factort(75) |
---|
| 568 | zf = zf * zf1 |
---|
| 569 | ! |
---|
| 570 | CASE( 14 ) !== formule 14, compound waves (235 x 0) === (235) |
---|
| 571 | zf = nodal_factort(235) |
---|
| 572 | zf1 = nodal_factort( 0) |
---|
| 573 | zf = zf * zf1 |
---|
| 574 | ! |
---|
| 575 | CASE( 15 ) !== formule 15, compound waves (235 x 75) |
---|
| 576 | zf = nodal_factort(235) |
---|
| 577 | zf1 = nodal_factort( 75) |
---|
| 578 | zf = zf * zf1 |
---|
| 579 | ! |
---|
| 580 | CASE( 16 ) !== formule 16, compound waves (78 x 0 x 0) === (78) |
---|
| 581 | zf = nodal_factort(78) |
---|
| 582 | zf1 = nodal_factort( 0) |
---|
| 583 | zf = zf * zf1 * zf1 |
---|
| 584 | ! |
---|
| 585 | CASE( 17 ) !== formule 17, compound waves (227 x 0) |
---|
| 586 | zf1 = nodal_factort(227) |
---|
| 587 | zf = nodal_factort( 0) |
---|
| 588 | zf = zf * zf1 |
---|
| 589 | ! |
---|
| 590 | CASE( 18 ) !== formule 18, compound waves (78 x 78 x 78 ) |
---|
| 591 | zf1 = nodal_factort(78) |
---|
| 592 | zf = zf1 * zf1 * zf1 |
---|
| 593 | ! |
---|
| 594 | CASE( 19 ) !== formule 19, compound waves (78 x 0 x 0 x 0) === (78) |
---|
| 595 | !!gm bug2 ==>>> here identical to formule 16, a third multiplication by zf1 is missing |
---|
| 596 | zf = nodal_factort(78) |
---|
| 597 | zf1 = nodal_factort( 0) |
---|
| 598 | zf = zf * zf1 * zf1 |
---|
| 599 | ! |
---|
| 600 | CASE( 73 ) !== formule 73 |
---|
| 601 | zs = sin(sh_I) |
---|
| 602 | zf = (2./3.-zs*zs)/0.5021 |
---|
| 603 | ! |
---|
| 604 | CASE( 74 ) !== formule 74 |
---|
| 605 | zs = sin(sh_I) |
---|
| 606 | zf = zs * zs / 0.1578 |
---|
| 607 | ! |
---|
| 608 | CASE( 75 ) !== formule 75 |
---|
| 609 | zs = cos(sh_I/2) |
---|
| 610 | zf = sin(sh_I) * zs * zs / 0.3800 |
---|
| 611 | ! |
---|
| 612 | CASE( 76 ) !== formule 76 |
---|
| 613 | zf = sin(2*sh_I) / 0.7214 |
---|
| 614 | ! |
---|
| 615 | CASE( 77 ) !== formule 77 |
---|
| 616 | zs = sin(sh_I/2) |
---|
| 617 | zf = sin(sh_I) * zs * zs / 0.0164 |
---|
| 618 | ! |
---|
| 619 | CASE( 78 ) !== formule 78 |
---|
| 620 | zs = cos(sh_I/2) |
---|
| 621 | zf = zs * zs * zs * zs / 0.9154 |
---|
| 622 | ! |
---|
| 623 | CASE( 79 ) !== formule 79 |
---|
| 624 | zs = sin(sh_I) |
---|
| 625 | zf = zs * zs / 0.1565 |
---|
| 626 | ! |
---|
| 627 | CASE( 144 ) !== formule 144 |
---|
| 628 | zs = sin(sh_I/2) |
---|
| 629 | zf = ( 1-10*zs*zs+15*zs*zs*zs*zs ) * cos(sh_I/2) / 0.5873 |
---|
| 630 | ! |
---|
| 631 | CASE( 149 ) !== formule 149 |
---|
| 632 | zs = cos(sh_I/2) |
---|
| 633 | zf = zs*zs*zs*zs*zs*zs / 0.8758 |
---|
| 634 | ! |
---|
| 635 | CASE( 215 ) !== formule 215 |
---|
| 636 | zs = cos(sh_I/2) |
---|
| 637 | zf = zs*zs*zs*zs / 0.9154 * sh_x1ra |
---|
| 638 | ! |
---|
| 639 | CASE( 227 ) !== formule 227 |
---|
| 640 | zs = sin(2*sh_I) |
---|
| 641 | zf = sqrt( 0.8965*zs*zs+0.6001*zs*cos (sh_nu)+0.1006 ) |
---|
| 642 | ! |
---|
| 643 | CASE ( 235 ) !== formule 235 |
---|
| 644 | zs = sin(sh_I) |
---|
| 645 | zf = sqrt( 19.0444*zs*zs*zs*zs + 2.7702*zs*zs*cos(2*sh_nu) + .0981 ) |
---|
| 646 | ! |
---|
| 647 | END SELECT |
---|
| 648 | ! |
---|
| 649 | END FUNCTION nodal_factort |
---|
[2956] | 650 | |
---|
| 651 | |
---|
[4292] | 652 | FUNCTION dayjul( kyr, kmonth, kday ) |
---|
| 653 | !!---------------------------------------------------------------------- |
---|
| 654 | !! *** THIS ROUTINE COMPUTES THE JULIAN DAY (AS A REAL VARIABLE) |
---|
| 655 | !!---------------------------------------------------------------------- |
---|
| 656 | INTEGER,INTENT(in) :: kyr, kmonth, kday |
---|
| 657 | ! |
---|
| 658 | INTEGER,DIMENSION(12) :: idayt, idays |
---|
| 659 | INTEGER :: inc, ji |
---|
| 660 | REAL(wp) :: dayjul, zyq |
---|
| 661 | ! |
---|
| 662 | DATA idayt/0.,31.,59.,90.,120.,151.,181.,212.,243.,273.,304.,334./ |
---|
| 663 | !!---------------------------------------------------------------------- |
---|
| 664 | ! |
---|
| 665 | idays(1) = 0. |
---|
| 666 | idays(2) = 31. |
---|
| 667 | inc = 0. |
---|
| 668 | zyq = MOD( kyr-1900. , 4. ) |
---|
| 669 | IF( zyq == 0.) inc = 1. |
---|
| 670 | DO ji = 3, 12 |
---|
| 671 | idays(ji)=idayt(ji)+inc |
---|
| 672 | END DO |
---|
| 673 | dayjul = idays(kmonth) + kday |
---|
| 674 | ! |
---|
| 675 | END FUNCTION dayjul |
---|
[2956] | 676 | |
---|
[10777] | 677 | |
---|
| 678 | SUBROUTINE upd_tide( kt, kit, time_offset ) |
---|
| 679 | !!---------------------------------------------------------------------- |
---|
| 680 | !! *** ROUTINE upd_tide *** |
---|
| 681 | !! |
---|
| 682 | !! ** Purpose : provide at each time step the astronomical potential |
---|
| 683 | !! |
---|
| 684 | !! ** Method : computed from pulsation and amplitude of all tide components |
---|
| 685 | !! |
---|
| 686 | !! ** Action : pot_astro actronomical potential |
---|
| 687 | !!---------------------------------------------------------------------- |
---|
| 688 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
| 689 | INTEGER, INTENT(in), OPTIONAL :: kit ! external mode sub-time-step index (lk_dynspg_ts=T) |
---|
| 690 | INTEGER, INTENT(in), OPTIONAL :: time_offset ! time offset in number |
---|
| 691 | ! of internal steps (lk_dynspg_ts=F) |
---|
| 692 | ! of external steps (lk_dynspg_ts=T) |
---|
| 693 | ! |
---|
| 694 | INTEGER :: joffset ! local integer |
---|
| 695 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 696 | REAL(wp) :: zt, zramp ! local scalar |
---|
| 697 | REAL(wp), DIMENSION(nb_harmo) :: zwt |
---|
| 698 | !!---------------------------------------------------------------------- |
---|
| 699 | ! |
---|
| 700 | ! ! tide pulsation at model time step (or sub-time-step) |
---|
| 701 | zt = ( kt - kt_tide ) * rdt |
---|
| 702 | ! |
---|
| 703 | joffset = 0 |
---|
| 704 | IF( PRESENT( time_offset ) ) joffset = time_offset |
---|
| 705 | ! |
---|
| 706 | IF( PRESENT( kit ) ) THEN |
---|
| 707 | zt = zt + ( kit + joffset - 1 ) * rdt / REAL( nn_baro, wp ) |
---|
| 708 | ELSE |
---|
| 709 | zt = zt + joffset * rdt |
---|
| 710 | ENDIF |
---|
| 711 | ! |
---|
[10822] | 712 | zwt(:) = tide_harmonics(:)%omega * zt |
---|
[10777] | 713 | |
---|
| 714 | pot_astro(:,:) = 0._wp ! update tidal potential (sum of all harmonics) |
---|
| 715 | DO jk = 1, nb_harmo |
---|
| 716 | pot_astro(:,:) = pot_astro(:,:) + amp_pot(:,:,jk) * COS( zwt(jk) + phi_pot(:,:,jk) ) |
---|
| 717 | END DO |
---|
| 718 | ! |
---|
| 719 | IF( ln_tide_ramp ) THEN ! linear increase if asked |
---|
| 720 | zt = ( kt - nit000 ) * rdt |
---|
| 721 | IF( PRESENT( kit ) ) zt = zt + ( kit + joffset -1) * rdt / REAL( nn_baro, wp ) |
---|
[10800] | 722 | zramp = MIN( MAX( zt / (rn_tide_ramp_dt*rday) , 0._wp ) , 1._wp ) |
---|
[10777] | 723 | pot_astro(:,:) = zramp * pot_astro(:,:) |
---|
| 724 | ENDIF |
---|
| 725 | ! |
---|
| 726 | END SUBROUTINE upd_tide |
---|
| 727 | |
---|
[4292] | 728 | !!====================================================================== |
---|
[2956] | 729 | END MODULE tide_mod |
---|