1 | MODULE tide_mod |
---|
2 | !!====================================================================== |
---|
3 | !! *** MODULE tide_mod *** |
---|
4 | !! Compute nodal modulations corrections and pulsations |
---|
5 | !!====================================================================== |
---|
6 | !! History : 1.0 ! 2007 (O. Le Galloudec) Original code |
---|
7 | !!---------------------------------------------------------------------- |
---|
8 | USE oce ! ocean dynamics and tracers variables |
---|
9 | USE dom_oce ! ocean space and time domain |
---|
10 | USE phycst ! physical constant |
---|
11 | USE daymod ! calendar |
---|
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) |
---|
17 | |
---|
18 | IMPLICIT NONE |
---|
19 | PRIVATE |
---|
20 | |
---|
21 | PUBLIC tide_init |
---|
22 | PUBLIC tide_harmo ! called by tideini and diaharm modules |
---|
23 | PUBLIC tide_init_Wave ! called by tideini and diaharm modules |
---|
24 | |
---|
25 | INTEGER, PUBLIC, PARAMETER :: jpmax_harmo = 19 !: maximum number of harmonic |
---|
26 | |
---|
27 | TYPE, PUBLIC :: tide |
---|
28 | CHARACTER(LEN=4) :: cname_tide |
---|
29 | REAL(wp) :: equitide |
---|
30 | INTEGER :: nutide |
---|
31 | INTEGER :: nt, ns, nh, np, np1, shift |
---|
32 | INTEGER :: nksi, nnu0, nnu1, nnu2, R |
---|
33 | INTEGER :: nformula |
---|
34 | END TYPE tide |
---|
35 | |
---|
36 | TYPE(tide), PUBLIC, DIMENSION(jpmax_harmo) :: Wave !: |
---|
37 | |
---|
38 | REAL(wp), PUBLIC, ALLOCATABLE, DIMENSION(:) :: omega_tide !: |
---|
39 | REAL(wp), PUBLIC, ALLOCATABLE, DIMENSION(:) :: v0tide !: |
---|
40 | REAL(wp), PUBLIC, ALLOCATABLE, DIMENSION(:) :: utide !: |
---|
41 | REAL(wp), PUBLIC, ALLOCATABLE, DIMENSION(:) :: ftide !: |
---|
42 | |
---|
43 | LOGICAL , PUBLIC :: ln_tide !: |
---|
44 | LOGICAL , PUBLIC :: ln_tide_pot !: |
---|
45 | LOGICAL , PUBLIC :: ln_read_load !: |
---|
46 | LOGICAL , PUBLIC :: ln_scal_load !: |
---|
47 | LOGICAL , PUBLIC :: ln_tide_ramp !: |
---|
48 | INTEGER , PUBLIC :: nb_harmo !: |
---|
49 | INTEGER , PUBLIC :: kt_tide !: |
---|
50 | REAL(wp), PUBLIC :: rdttideramp !: |
---|
51 | REAL(wp), PUBLIC :: rn_scal_load !: |
---|
52 | CHARACTER(lc), PUBLIC :: cn_tide_load !: |
---|
53 | |
---|
54 | INTEGER , PUBLIC, ALLOCATABLE, DIMENSION(:) :: ntide !: |
---|
55 | |
---|
56 | REAL(wp) :: sh_T, sh_s, sh_h, sh_p, sh_p1 ! astronomic angles |
---|
57 | REAL(wp) :: sh_xi, sh_nu, sh_nuprim, sh_nusec, sh_R ! |
---|
58 | REAL(wp) :: sh_I, sh_x1ra, sh_N ! |
---|
59 | |
---|
60 | !!---------------------------------------------------------------------- |
---|
61 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
---|
62 | !! $Id$ |
---|
63 | !! Software governed by the CeCILL license (see ./LICENSE) |
---|
64 | !!---------------------------------------------------------------------- |
---|
65 | CONTAINS |
---|
66 | |
---|
67 | SUBROUTINE tide_init |
---|
68 | !!---------------------------------------------------------------------- |
---|
69 | !! *** ROUTINE tide_init *** |
---|
70 | !!---------------------------------------------------------------------- |
---|
71 | INTEGER :: ji, jk |
---|
72 | CHARACTER(LEN=4), DIMENSION(jpmax_harmo) :: clname |
---|
73 | INTEGER :: ios ! Local integer output status for namelist read |
---|
74 | ! |
---|
75 | NAMELIST/nam_tide/ln_tide, ln_tide_pot, ln_scal_load, ln_read_load, cn_tide_load, & |
---|
76 | & ln_tide_ramp, rn_scal_load, rdttideramp, clname |
---|
77 | !!---------------------------------------------------------------------- |
---|
78 | ! |
---|
79 | ! Read Namelist nam_tide |
---|
80 | REWIND( numnam_ref ) ! Namelist nam_tide in reference namelist : Tides |
---|
81 | READ ( numnam_ref, nam_tide, IOSTAT = ios, ERR = 901) |
---|
82 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'nam_tide in reference namelist', lwp ) |
---|
83 | ! |
---|
84 | REWIND( numnam_cfg ) ! Namelist nam_tide in configuration namelist : Tides |
---|
85 | READ ( numnam_cfg, nam_tide, IOSTAT = ios, ERR = 902 ) |
---|
86 | 902 IF( ios > 0 ) CALL ctl_nam ( ios , 'nam_tide in configuration namelist', lwp ) |
---|
87 | IF(lwm) WRITE ( numond, nam_tide ) |
---|
88 | ! |
---|
89 | IF( ln_tide ) THEN |
---|
90 | IF (lwp) THEN |
---|
91 | WRITE(numout,*) |
---|
92 | WRITE(numout,*) 'tide_init : Initialization of the tidal components' |
---|
93 | WRITE(numout,*) '~~~~~~~~~ ' |
---|
94 | WRITE(numout,*) ' Namelist nam_tide' |
---|
95 | WRITE(numout,*) ' Use tidal components ln_tide = ', ln_tide |
---|
96 | WRITE(numout,*) ' Apply astronomical potential ln_tide_pot = ', ln_tide_pot |
---|
97 | WRITE(numout,*) ' Use scalar approx. for load potential ln_scal_load = ', ln_scal_load |
---|
98 | WRITE(numout,*) ' Read load potential from file ln_read_load = ', ln_read_load |
---|
99 | WRITE(numout,*) ' Apply ramp on tides at startup ln_tide_ramp = ', ln_tide_ramp |
---|
100 | WRITE(numout,*) ' Fraction of SSH used in scal. approx. rn_scal_load = ', rn_scal_load |
---|
101 | WRITE(numout,*) ' Duration (days) of ramp rdttideramp = ', rdttideramp |
---|
102 | ENDIF |
---|
103 | ELSE |
---|
104 | rn_scal_load = 0._wp |
---|
105 | |
---|
106 | IF(lwp) WRITE(numout,*) |
---|
107 | IF(lwp) WRITE(numout,*) 'tide_init : tidal components not used (ln_tide = F)' |
---|
108 | IF(lwp) WRITE(numout,*) '~~~~~~~~~ ' |
---|
109 | RETURN |
---|
110 | ENDIF |
---|
111 | ! |
---|
112 | CALL tide_init_Wave |
---|
113 | ! |
---|
114 | nb_harmo=0 |
---|
115 | DO jk = 1, jpmax_harmo |
---|
116 | DO ji = 1,jpmax_harmo |
---|
117 | IF( TRIM(clname(jk)) == Wave(ji)%cname_tide ) nb_harmo = nb_harmo + 1 |
---|
118 | END DO |
---|
119 | END DO |
---|
120 | ! |
---|
121 | ! Ensure that tidal components have been set in namelist_cfg |
---|
122 | IF( nb_harmo == 0 ) CALL ctl_stop( 'tide_init : No tidal components set in nam_tide' ) |
---|
123 | ! |
---|
124 | IF( ln_read_load.AND.(.NOT.ln_tide_pot) ) & |
---|
125 | & CALL ctl_stop('ln_read_load requires ln_tide_pot') |
---|
126 | IF( ln_scal_load.AND.(.NOT.ln_tide_pot) ) & |
---|
127 | & CALL ctl_stop('ln_scal_load requires ln_tide_pot') |
---|
128 | IF( ln_scal_load.AND.ln_read_load ) & |
---|
129 | & CALL ctl_stop('Choose between ln_scal_load and ln_read_load') |
---|
130 | IF( ln_tide_ramp.AND.((nitend-nit000+1)*rdt/rday < rdttideramp) ) & |
---|
131 | & CALL ctl_stop('rdttideramp must be lower than run duration') |
---|
132 | IF( ln_tide_ramp.AND.(rdttideramp<0.) ) & |
---|
133 | & CALL ctl_stop('rdttideramp must be positive') |
---|
134 | ! |
---|
135 | ALLOCATE( ntide(nb_harmo) ) |
---|
136 | DO jk = 1, nb_harmo |
---|
137 | DO ji = 1, jpmax_harmo |
---|
138 | IF( TRIM(clname(jk)) == Wave(ji)%cname_tide ) THEN |
---|
139 | ntide(jk) = ji |
---|
140 | EXIT |
---|
141 | ENDIF |
---|
142 | END DO |
---|
143 | END DO |
---|
144 | ! |
---|
145 | ALLOCATE( omega_tide(nb_harmo), v0tide (nb_harmo), & |
---|
146 | & utide (nb_harmo), ftide (nb_harmo) ) |
---|
147 | kt_tide = nit000 |
---|
148 | ! |
---|
149 | IF (.NOT.ln_scal_load ) rn_scal_load = 0._wp |
---|
150 | ! |
---|
151 | END SUBROUTINE tide_init |
---|
152 | |
---|
153 | |
---|
154 | SUBROUTINE tide_init_Wave |
---|
155 | # include "tide.h90" |
---|
156 | END SUBROUTINE tide_init_Wave |
---|
157 | |
---|
158 | |
---|
159 | SUBROUTINE tide_harmo( pomega, pvt, put , pcor, ktide ,kc) |
---|
160 | !!---------------------------------------------------------------------- |
---|
161 | !!---------------------------------------------------------------------- |
---|
162 | INTEGER , DIMENSION(kc), INTENT(in ) :: ktide ! Indice of tidal constituents |
---|
163 | INTEGER , INTENT(in ) :: kc ! Total number of tidal constituents |
---|
164 | REAL(wp), DIMENSION(kc), INTENT(out) :: pomega ! pulsation in radians/s |
---|
165 | REAL(wp), DIMENSION(kc), INTENT(out) :: pvt, put, pcor ! |
---|
166 | !!---------------------------------------------------------------------- |
---|
167 | ! |
---|
168 | CALL astronomic_angle |
---|
169 | CALL tide_pulse( pomega, ktide ,kc ) |
---|
170 | CALL tide_vuf ( pvt, put, pcor, ktide ,kc ) |
---|
171 | ! |
---|
172 | END SUBROUTINE tide_harmo |
---|
173 | |
---|
174 | |
---|
175 | SUBROUTINE astronomic_angle |
---|
176 | !!---------------------------------------------------------------------- |
---|
177 | !! tj is time elapsed since 1st January 1900, 0 hour, counted in julian |
---|
178 | !! century (e.g. time in days divide by 36525) |
---|
179 | !!---------------------------------------------------------------------- |
---|
180 | REAL(wp) :: cosI, p, q, t2, t4, sin2I, s2, tgI2, P1, sh_tgn2, at1, at2 |
---|
181 | REAL(wp) :: zqy , zsy, zday, zdj, zhfrac |
---|
182 | !!---------------------------------------------------------------------- |
---|
183 | ! |
---|
184 | zqy = AINT( (nyear-1901.)/4. ) |
---|
185 | zsy = nyear - 1900. |
---|
186 | ! |
---|
187 | zdj = dayjul( nyear, nmonth, nday ) |
---|
188 | zday = zdj + zqy - 1. |
---|
189 | ! |
---|
190 | zhfrac = nsec_day / 3600. |
---|
191 | ! |
---|
192 | !---------------------------------------------------------------------- |
---|
193 | ! Sh_n Longitude of ascending lunar node |
---|
194 | !---------------------------------------------------------------------- |
---|
195 | sh_N=(259.1560564-19.328185764*zsy-.0529539336*zday-.0022064139*zhfrac)*rad |
---|
196 | !---------------------------------------------------------------------- |
---|
197 | ! T mean solar angle (Greenwhich time) |
---|
198 | !---------------------------------------------------------------------- |
---|
199 | sh_T=(180.+zhfrac*(360./24.))*rad |
---|
200 | !---------------------------------------------------------------------- |
---|
201 | ! h mean solar Longitude |
---|
202 | !---------------------------------------------------------------------- |
---|
203 | sh_h=(280.1895014-.238724988*zsy+.9856473288*zday+.0410686387*zhfrac)*rad |
---|
204 | !---------------------------------------------------------------------- |
---|
205 | ! s mean lunar Longitude |
---|
206 | !---------------------------------------------------------------------- |
---|
207 | sh_s=(277.0256206+129.38482032*zsy+13.176396768*zday+.549016532*zhfrac)*rad |
---|
208 | !---------------------------------------------------------------------- |
---|
209 | ! p1 Longitude of solar perigee |
---|
210 | !---------------------------------------------------------------------- |
---|
211 | sh_p1=(281.2208569+.01717836*zsy+.000047064*zday+.000001961*zhfrac)*rad |
---|
212 | !---------------------------------------------------------------------- |
---|
213 | ! p Longitude of lunar perigee |
---|
214 | !---------------------------------------------------------------------- |
---|
215 | sh_p=(334.3837214+40.66246584*zsy+.111404016*zday+.004641834*zhfrac)*rad |
---|
216 | |
---|
217 | sh_N = MOD( sh_N ,2*rpi ) |
---|
218 | sh_s = MOD( sh_s ,2*rpi ) |
---|
219 | sh_h = MOD( sh_h, 2*rpi ) |
---|
220 | sh_p = MOD( sh_p, 2*rpi ) |
---|
221 | sh_p1= MOD( sh_p1,2*rpi ) |
---|
222 | |
---|
223 | cosI = 0.913694997 -0.035692561 *cos(sh_N) |
---|
224 | |
---|
225 | sh_I = ACOS( cosI ) |
---|
226 | |
---|
227 | sin2I = sin(sh_I) |
---|
228 | sh_tgn2 = tan(sh_N/2.0) |
---|
229 | |
---|
230 | at1=atan(1.01883*sh_tgn2) |
---|
231 | at2=atan(0.64412*sh_tgn2) |
---|
232 | |
---|
233 | sh_xi=-at1-at2+sh_N |
---|
234 | |
---|
235 | IF( sh_N > rpi ) sh_xi=sh_xi-2.0*rpi |
---|
236 | |
---|
237 | sh_nu = at1 - at2 |
---|
238 | |
---|
239 | !---------------------------------------------------------------------- |
---|
240 | ! For constituents l2 k1 k2 |
---|
241 | !---------------------------------------------------------------------- |
---|
242 | |
---|
243 | tgI2 = tan(sh_I/2.0) |
---|
244 | P1 = sh_p-sh_xi |
---|
245 | |
---|
246 | t2 = tgI2*tgI2 |
---|
247 | t4 = t2*t2 |
---|
248 | sh_x1ra = sqrt( 1.0-12.0*t2*cos(2.0*P1)+36.0*t4 ) |
---|
249 | |
---|
250 | p = sin(2.0*P1) |
---|
251 | q = 1.0/(6.0*t2)-cos(2.0*P1) |
---|
252 | sh_R = atan(p/q) |
---|
253 | |
---|
254 | p = sin(2.0*sh_I)*sin(sh_nu) |
---|
255 | q = sin(2.0*sh_I)*cos(sh_nu)+0.3347 |
---|
256 | sh_nuprim = atan(p/q) |
---|
257 | |
---|
258 | s2 = sin(sh_I)*sin(sh_I) |
---|
259 | p = s2*sin(2.0*sh_nu) |
---|
260 | q = s2*cos(2.0*sh_nu)+0.0727 |
---|
261 | sh_nusec = 0.5*atan(p/q) |
---|
262 | ! |
---|
263 | END SUBROUTINE astronomic_angle |
---|
264 | |
---|
265 | |
---|
266 | SUBROUTINE tide_pulse( pomega, ktide ,kc ) |
---|
267 | !!---------------------------------------------------------------------- |
---|
268 | !! *** ROUTINE tide_pulse *** |
---|
269 | !! |
---|
270 | !! ** Purpose : Compute tidal frequencies |
---|
271 | !!---------------------------------------------------------------------- |
---|
272 | INTEGER , INTENT(in ) :: kc ! Total number of tidal constituents |
---|
273 | INTEGER , DIMENSION(kc), INTENT(in ) :: ktide ! Indice of tidal constituents |
---|
274 | REAL(wp), DIMENSION(kc), INTENT(out) :: pomega ! pulsation in radians/s |
---|
275 | ! |
---|
276 | INTEGER :: jh |
---|
277 | REAL(wp) :: zscale |
---|
278 | REAL(wp) :: zomega_T = 13149000.0_wp |
---|
279 | REAL(wp) :: zomega_s = 481267.892_wp |
---|
280 | REAL(wp) :: zomega_h = 36000.76892_wp |
---|
281 | REAL(wp) :: zomega_p = 4069.0322056_wp |
---|
282 | REAL(wp) :: zomega_n = 1934.1423972_wp |
---|
283 | REAL(wp) :: zomega_p1= 1.719175_wp |
---|
284 | !!---------------------------------------------------------------------- |
---|
285 | ! |
---|
286 | zscale = rad / ( 36525._wp * 86400._wp ) |
---|
287 | ! |
---|
288 | DO jh = 1, kc |
---|
289 | pomega(jh) = ( zomega_T * Wave( ktide(jh) )%nT & |
---|
290 | & + zomega_s * Wave( ktide(jh) )%ns & |
---|
291 | & + zomega_h * Wave( ktide(jh) )%nh & |
---|
292 | & + zomega_p * Wave( ktide(jh) )%np & |
---|
293 | & + zomega_p1* Wave( ktide(jh) )%np1 ) * zscale |
---|
294 | END DO |
---|
295 | ! |
---|
296 | END SUBROUTINE tide_pulse |
---|
297 | |
---|
298 | |
---|
299 | SUBROUTINE tide_vuf( pvt, put, pcor, ktide ,kc ) |
---|
300 | !!---------------------------------------------------------------------- |
---|
301 | !! *** ROUTINE tide_vuf *** |
---|
302 | !! |
---|
303 | !! ** Purpose : Compute nodal modulation corrections |
---|
304 | !! |
---|
305 | !! ** Outputs : vt: Phase of tidal potential relative to Greenwich (radians) |
---|
306 | !! ut: Phase correction u due to nodal motion (radians) |
---|
307 | !! ft: Nodal correction factor |
---|
308 | !!---------------------------------------------------------------------- |
---|
309 | INTEGER , INTENT(in ) :: kc ! Total number of tidal constituents |
---|
310 | INTEGER , DIMENSION(kc), INTENT(in ) :: ktide ! Indice of tidal constituents |
---|
311 | REAL(wp), DIMENSION(kc), INTENT(out) :: pvt, put, pcor ! |
---|
312 | ! |
---|
313 | INTEGER :: jh ! dummy loop index |
---|
314 | !!---------------------------------------------------------------------- |
---|
315 | ! |
---|
316 | DO jh = 1, kc |
---|
317 | ! Phase of the tidal potential relative to the Greenwhich |
---|
318 | ! meridian (e.g. the position of the fictuous celestial body). Units are radian: |
---|
319 | pvt(jh) = sh_T * Wave( ktide(jh) )%nT & |
---|
320 | & + sh_s * Wave( ktide(jh) )%ns & |
---|
321 | & + sh_h * Wave( ktide(jh) )%nh & |
---|
322 | & + sh_p * Wave( ktide(jh) )%np & |
---|
323 | & + sh_p1* Wave( ktide(jh) )%np1 & |
---|
324 | & + Wave( ktide(jh) )%shift * rad |
---|
325 | ! |
---|
326 | ! Phase correction u due to nodal motion. Units are radian: |
---|
327 | put(jh) = sh_xi * Wave( ktide(jh) )%nksi & |
---|
328 | & + sh_nu * Wave( ktide(jh) )%nnu0 & |
---|
329 | & + sh_nuprim * Wave( ktide(jh) )%nnu1 & |
---|
330 | & + sh_nusec * Wave( ktide(jh) )%nnu2 & |
---|
331 | & + sh_R * Wave( ktide(jh) )%R |
---|
332 | |
---|
333 | ! Nodal correction factor: |
---|
334 | pcor(jh) = nodal_factort( Wave( ktide(jh) )%nformula ) |
---|
335 | END DO |
---|
336 | ! |
---|
337 | END SUBROUTINE tide_vuf |
---|
338 | |
---|
339 | |
---|
340 | RECURSIVE FUNCTION nodal_factort( kformula ) RESULT( zf ) |
---|
341 | !!---------------------------------------------------------------------- |
---|
342 | !!---------------------------------------------------------------------- |
---|
343 | INTEGER, INTENT(in) :: kformula |
---|
344 | ! |
---|
345 | REAL(wp) :: zf |
---|
346 | REAL(wp) :: zs, zf1, zf2 |
---|
347 | !!---------------------------------------------------------------------- |
---|
348 | ! |
---|
349 | SELECT CASE( kformula ) |
---|
350 | ! |
---|
351 | CASE( 0 ) !== formule 0, solar waves |
---|
352 | zf = 1.0 |
---|
353 | ! |
---|
354 | CASE( 1 ) !== formule 1, compound waves (78 x 78) |
---|
355 | zf=nodal_factort(78) |
---|
356 | zf = zf * zf |
---|
357 | ! |
---|
358 | CASE ( 2 ) !== formule 2, compound waves (78 x 0) === (78) |
---|
359 | zf1= nodal_factort(78) |
---|
360 | zf = nodal_factort( 0) |
---|
361 | zf = zf1 * zf |
---|
362 | ! |
---|
363 | CASE ( 4 ) !== formule 4, compound waves (78 x 235) |
---|
364 | zf1 = nodal_factort( 78) |
---|
365 | zf = nodal_factort(235) |
---|
366 | zf = zf1 * zf |
---|
367 | ! |
---|
368 | CASE ( 5 ) !== formule 5, compound waves (78 *78 x 235) |
---|
369 | zf1 = nodal_factort( 78) |
---|
370 | zf = nodal_factort(235) |
---|
371 | zf = zf * zf1 * zf1 |
---|
372 | ! |
---|
373 | CASE ( 6 ) !== formule 6, compound waves (78 *78 x 0) |
---|
374 | zf1 = nodal_factort(78) |
---|
375 | zf = nodal_factort( 0) |
---|
376 | zf = zf * zf1 * zf1 |
---|
377 | ! |
---|
378 | CASE( 7 ) !== formule 7, compound waves (75 x 75) |
---|
379 | zf = nodal_factort(75) |
---|
380 | zf = zf * zf |
---|
381 | ! |
---|
382 | CASE( 8 ) !== formule 8, compound waves (78 x 0 x 235) |
---|
383 | zf = nodal_factort( 78) |
---|
384 | zf1 = nodal_factort( 0) |
---|
385 | zf2 = nodal_factort(235) |
---|
386 | zf = zf * zf1 * zf2 |
---|
387 | ! |
---|
388 | CASE( 9 ) !== formule 9, compound waves (78 x 0 x 227) |
---|
389 | zf = nodal_factort( 78) |
---|
390 | zf1 = nodal_factort( 0) |
---|
391 | zf2 = nodal_factort(227) |
---|
392 | zf = zf * zf1 * zf2 |
---|
393 | ! |
---|
394 | CASE( 10 ) !== formule 10, compound waves (78 x 227) |
---|
395 | zf = nodal_factort( 78) |
---|
396 | zf1 = nodal_factort(227) |
---|
397 | zf = zf * zf1 |
---|
398 | ! |
---|
399 | CASE( 11 ) !== formule 11, compound waves (75 x 0) |
---|
400 | !!gm bug???? zf 2 fois ! |
---|
401 | zf = nodal_factort(75) |
---|
402 | zf1 = nodal_factort( 0) |
---|
403 | zf = zf * zf1 |
---|
404 | ! |
---|
405 | CASE( 12 ) !== formule 12, compound waves (78 x 78 x 78 x 0) |
---|
406 | zf1 = nodal_factort(78) |
---|
407 | zf = nodal_factort( 0) |
---|
408 | zf = zf * zf1 * zf1 * zf1 |
---|
409 | ! |
---|
410 | CASE( 13 ) !== formule 13, compound waves (78 x 75) |
---|
411 | zf1 = nodal_factort(78) |
---|
412 | zf = nodal_factort(75) |
---|
413 | zf = zf * zf1 |
---|
414 | ! |
---|
415 | CASE( 14 ) !== formule 14, compound waves (235 x 0) === (235) |
---|
416 | zf = nodal_factort(235) |
---|
417 | zf1 = nodal_factort( 0) |
---|
418 | zf = zf * zf1 |
---|
419 | ! |
---|
420 | CASE( 15 ) !== formule 15, compound waves (235 x 75) |
---|
421 | zf = nodal_factort(235) |
---|
422 | zf1 = nodal_factort( 75) |
---|
423 | zf = zf * zf1 |
---|
424 | ! |
---|
425 | CASE( 16 ) !== formule 16, compound waves (78 x 0 x 0) === (78) |
---|
426 | zf = nodal_factort(78) |
---|
427 | zf1 = nodal_factort( 0) |
---|
428 | zf = zf * zf1 * zf1 |
---|
429 | ! |
---|
430 | CASE( 17 ) !== formule 17, compound waves (227 x 0) |
---|
431 | zf1 = nodal_factort(227) |
---|
432 | zf = nodal_factort( 0) |
---|
433 | zf = zf * zf1 |
---|
434 | ! |
---|
435 | CASE( 18 ) !== formule 18, compound waves (78 x 78 x 78 ) |
---|
436 | zf1 = nodal_factort(78) |
---|
437 | zf = zf1 * zf1 * zf1 |
---|
438 | ! |
---|
439 | CASE( 19 ) !== formule 19, compound waves (78 x 0 x 0 x 0) === (78) |
---|
440 | !!gm bug2 ==>>> here identical to formule 16, a third multiplication by zf1 is missing |
---|
441 | zf = nodal_factort(78) |
---|
442 | zf1 = nodal_factort( 0) |
---|
443 | zf = zf * zf1 * zf1 |
---|
444 | ! |
---|
445 | CASE( 73 ) !== formule 73 |
---|
446 | zs = sin(sh_I) |
---|
447 | zf = (2./3.-zs*zs)/0.5021 |
---|
448 | ! |
---|
449 | CASE( 74 ) !== formule 74 |
---|
450 | zs = sin(sh_I) |
---|
451 | zf = zs * zs / 0.1578 |
---|
452 | ! |
---|
453 | CASE( 75 ) !== formule 75 |
---|
454 | zs = cos(sh_I/2) |
---|
455 | zf = sin(sh_I) * zs * zs / 0.3800 |
---|
456 | ! |
---|
457 | CASE( 76 ) !== formule 76 |
---|
458 | zf = sin(2*sh_I) / 0.7214 |
---|
459 | ! |
---|
460 | CASE( 77 ) !== formule 77 |
---|
461 | zs = sin(sh_I/2) |
---|
462 | zf = sin(sh_I) * zs * zs / 0.0164 |
---|
463 | ! |
---|
464 | CASE( 78 ) !== formule 78 |
---|
465 | zs = cos(sh_I/2) |
---|
466 | zf = zs * zs * zs * zs / 0.9154 |
---|
467 | ! |
---|
468 | CASE( 79 ) !== formule 79 |
---|
469 | zs = sin(sh_I) |
---|
470 | zf = zs * zs / 0.1565 |
---|
471 | ! |
---|
472 | CASE( 144 ) !== formule 144 |
---|
473 | zs = sin(sh_I/2) |
---|
474 | zf = ( 1-10*zs*zs+15*zs*zs*zs*zs ) * cos(sh_I/2) / 0.5873 |
---|
475 | ! |
---|
476 | CASE( 149 ) !== formule 149 |
---|
477 | zs = cos(sh_I/2) |
---|
478 | zf = zs*zs*zs*zs*zs*zs / 0.8758 |
---|
479 | ! |
---|
480 | CASE( 215 ) !== formule 215 |
---|
481 | zs = cos(sh_I/2) |
---|
482 | zf = zs*zs*zs*zs / 0.9154 * sh_x1ra |
---|
483 | ! |
---|
484 | CASE( 227 ) !== formule 227 |
---|
485 | zs = sin(2*sh_I) |
---|
486 | zf = sqrt( 0.8965*zs*zs+0.6001*zs*cos (sh_nu)+0.1006 ) |
---|
487 | ! |
---|
488 | CASE ( 235 ) !== formule 235 |
---|
489 | zs = sin(sh_I) |
---|
490 | zf = sqrt( 19.0444*zs*zs*zs*zs + 2.7702*zs*zs*cos(2*sh_nu) + .0981 ) |
---|
491 | ! |
---|
492 | END SELECT |
---|
493 | ! |
---|
494 | END FUNCTION nodal_factort |
---|
495 | |
---|
496 | |
---|
497 | FUNCTION dayjul( kyr, kmonth, kday ) |
---|
498 | !!---------------------------------------------------------------------- |
---|
499 | !! *** THIS ROUTINE COMPUTES THE JULIAN DAY (AS A REAL VARIABLE) |
---|
500 | !!---------------------------------------------------------------------- |
---|
501 | INTEGER,INTENT(in) :: kyr, kmonth, kday |
---|
502 | ! |
---|
503 | INTEGER,DIMENSION(12) :: idayt, idays |
---|
504 | INTEGER :: inc, ji |
---|
505 | REAL(wp) :: dayjul, zyq |
---|
506 | ! |
---|
507 | DATA idayt/0.,31.,59.,90.,120.,151.,181.,212.,243.,273.,304.,334./ |
---|
508 | !!---------------------------------------------------------------------- |
---|
509 | ! |
---|
510 | idays(1) = 0. |
---|
511 | idays(2) = 31. |
---|
512 | inc = 0. |
---|
513 | zyq = MOD( kyr-1900. , 4. ) |
---|
514 | IF( zyq == 0.) inc = 1. |
---|
515 | DO ji = 3, 12 |
---|
516 | idays(ji)=idayt(ji)+inc |
---|
517 | END DO |
---|
518 | dayjul = idays(kmonth) + kday |
---|
519 | ! |
---|
520 | END FUNCTION dayjul |
---|
521 | |
---|
522 | !!====================================================================== |
---|
523 | END MODULE tide_mod |
---|