Angular momentum transport in the sun's radiative zone by gravito-inertial waves

Solar Physics

Volumn 251, Issue 1-2, 2008, Pages 101-118

  Mathis, S ^a,b   Talon, S ^c   Pantillon, F P ^c,d   Zahn, J P ^b  

^a UNIVERSITÉ PARIS DIDEROT   (France)

^b UNIVERSITÉ PARIS DIDEROT   (France)

^c UNIVERSITÉ DE MONTRÉAL   (Canada)

^d UNIVERSITÉ DE GENÈVE   (Switzerland)

Author keywords

Hydrodynamics; Methods: numerical; Stars: interiors; Stars: rotation; Turbulence; Waves

Indexed keywords

EID: 50249085556     PISSN: 00380938     EISSN: 1573093X     Source Type: Journal    
DOI: 10.1007/s11207-008-9157-0     Document Type: Article

References (55)

1. L. Bildsten G. Ushomirsky C. Cutler 1996 Ocean g-modes on rotating neutron stars Astrophys. J. 460 827
2. G. Berthomieu G. Gonczi P. Graff J. Provost A. Rocca 1978 Low-frequency gravity modes of a rotating star Astron. Astrophys. 70 597
3. T.M. Brown J. Christensen-Dalsgaard W.A. Dziembowski P. Goode D.O. Gough C.A. Morrow 1989 Inferring the Sun's internal angular velocity from observed p-modes frequency splittings Astrophys. J. 343 526
4. A.-S. Brun J.-P. Zahn 2006 Magnetic confinement of the solar tachocline Astron. Astrophys. 457 665
5. F.P. Bretherton 1969 Momentum transport by gravity waves Q. J. Roy. Meteorol. Soc. 95 213
6. B. Chaboyer P. Demarque M.H. Pinsonneault 1995 Stellar models with microscopic diffusion and rotational mixing. I. Application to the Sun Astrophys. J. 441 865
7. C. Charbonnel S. Talon 2005 Influence of gravity waves on the internal rotation and Li abundance of solar-type stars Science 309 2189
8. T.G. Cowling 1941 The non-radial oscillations of polytropic stars Mon. Not. Roy. Astron. Soc. 101 367
9. Dintrans, B.: 1999, Ph.D. Thesis, Université Toulouse III.
10. B. Dintrans M. Rieutord 2000 Oscillations of a rotating star: a non-perturbative theory Astron. Astrophys. 354 86
11. B. Dintrans M. Rieutord L. Valdettaro 1999 Gravito-inertial waves in a rotating stratified sphere or spherical shell J. Fluid Mech. 398 271
12. Eckart, C.: 1960, Hydrodynamics of Oceans and Atmospheres, Pergamon Press, Oxford.
13. S. Friedlander 1987 Internal waves in a rotating stratified spherical shell: asymptotic solutions Geophys. J. Roy. Astron. Soc. 89 637
14. S. Friedlander W.L. Siegmann 1982 Internal waves in a rotating stratified fluid in an arbitrary gravitational field Geophys. Astrophys. Fluid Dyn. 19 267
15. R.A. García S. Turck-Chièze S.J. Jiménez-Reyes J. Ballot P.L. Pallé A. Eff-Darwich S. Mathur J. Provost 2007 Tracking solar gravity modes: the dynamics of the solar core Science 316 1591
16. R.J. García-López H.C. Spruit 1991 Li depletion in F stars by internal gravity waves Astrophys. J. 377 268
17. P. Garaud 2002 Dynamics of the solar tachocline. I. An incompressible study Mon. Not. Roy. Astron. Soc. 329 1
18. T. Gerkema V.I. Shrira 2005 Near-inertial waves in the ocean: beyond the 'traditional approximation' J. Fluid Mech. 529 195
19. Gerkema, T., Zimmerman, J.T.F., Mass, L.R.M., Van Haren, H.: 2008, Geophysical and astrophysical fluid dynamics beyond the traditional approximation, Rev. Geophys. in press. doi: 10.1029/2006RG000220.
20. P. Goldreich P.D. Nicholson 1989 Tides in rotating fluids Astrophys. J. 342 1075
21. P. Goldreich P.D. Nicholson 1989 Tidal friction in early-type stars Astrophys. J. 342 1079
22. P. Goldreich N. Murray P. Kumar 1994 Excitation of solar p-modes Astrophys. J. 424 466
23. D.O. Gough M.E. McIntyre 1998 Inevitability of a magnetic field in the Sun's radiative interior Nature 394 567
24. W.D. Hayes 1970 Conservation of action and modal wave action Proc. Roy. Soc. Lond. A 320 187
25. S.S. Hough 1898 On the application of harmonic analysis to the dynamical theory of the tides. Part II: On the general integration of Laplace's dynamical equations Philos. Trans. Roy. Soc. A 191 139
26. P. Kumar S. Talon J.-P. Zahn 1999 Angular momentum redistribution by waves in the Sun Astrophys. J. 520 859
27. Laplace, P.-S.: 1799, Mécanique Céleste, Bureau des Longitudes, Paris.
28. U. Lee H. Saio 1997 Low-frequency non-radial oscillations in rotating stars: I. Angular dependence Astrophys. J. 491 839
29. F.R.S. Longuet-Higgins 1968 The eigenfunctions of Laplace's tidal equations over a sphere Phil. Trans. Roy. Soc. A 262 511
30. A. Maeder G. Meynet 2000 The evolution of rotating stars Ann. Rev. Astron. Astrophys. 38 143
31. Mathis, S.: 2005, Ph.D. Thesis, Université Paris XI.
32. S. Mathis J.-P. Zahn 2004 Transport and mixing in the radiation zones of rotating stars: I. Hydrodynamical processes Astron. Astrophys. 425 229
33. S. Mathis J.-P. Zahn 2005 Transport and mixing in the radiation zones of rotating stars: II. Axisymmetric magnetic field Astron. Astrophys. 440 653
34. Matias, J., Zahn, J.-P.: 1997, In: Provost J., Schmider F.-X. (eds.) IAU Symposium 18, Poster Volume. Observatoire de Nice, 103.
35. J.W. Miles 1977 Asymptotic eigensolutions of Laplace's tidal equation Proc. Roy. Soc. Lond. A 353 377
36. F.P. Pantillon S. Talon C. Charbonnel 2007 Angular momentum transport by internal gravity waves: IV. Wave excitation by core convection and the Coriolis effect Astron. Astrophys. 474 155
37. Pedlosky, J.: 1987, Geophysical Fluid Dynamics, 2nd edn., Springer, New York.
38. M.H. Pinsonneault S.D. Kawaler S. Sofia P. Demarque 1989 Evolutionary models of the rotating sun Astrophys. J. 338 424
39. W.H. Press 1981 Radiative and other effects from internal waves in solar and stellar interiors Astrophys. J. 245 286
40. J. Provost G. Berthomieu A. Rocca 1981 Low frequency oscillations of a slowly rotating star: quasi-toroidal modes Astron. Astrophys. 94 126
41. O. Ringot 1998 About the role of gravity waves in the angular momentum transport inside the radiative zone of the Sun Astron. Astrophys. 335 L89
42. R. Samadi M.-J. Goupil 2001 Excitation of stellar p-modes by turbulent convection. I. Theoretical formulation Astron. Astrophys. 370 136
43. E. Schatzman 1993 Transport of angular momentum and diffusion by the action of internal waves Astron. Astrophys. 279 431
44. K. Stewartson J. Richard 1969 Pathological oscillations of a rotating fluid J. Fluid Mech. 35 759
45. K. Stewartson I.C. Walton 1976 On waves in a thin shell of stratified rotating fluid Proc. Roy. Soc. Lond. A 349 141
46. Talon, S.: 1997, Ph.D. Thesis, Université Paris VII.
47. Talon, S.: 2007, Transport processes in stars: diffusion, rotation, magnetic fields and internal waves. In: Charbonnel C., Zahn J.-P. (eds.) Stellar Nucleosynthesis: 50 years after BBFH, Eur. Astron. Soc., Les Ulis. in press {arXiv:0708.1499}.
48. S. Talon C. Charbonnel 2005 Hydrodynamical stellar models including rotation, internal gravity waves and atomic diffusion. I. Formalism and tests on Pop I dwarfs Astron. Astrophys. 440 981
49. S. Talon J.-P. Zahn 1998 Towards a hydrodynamical model predicting the observed solar rotation profile Astron. Astrophys. 329 315
50. S. Talon P. Kumar J.-P. Zahn 2002 Angular momentum extraction by gravity waves in the Sun Astrophys. J. 574 L175
51. R.H.D. Townsend 2003 Asymptotic expressions for the angular dependence of low-frequency pulsation modes in rotating stars Mon. Not. Roy. Astron. Soc. 340 1020
52. S. Turck-Chièze S. Couvidat L. Piau J. Ferguson P. Lambert J. Ballot R.A. García P. Nghiem 2004 Surprising Sun: a new step towards a complete picture? Phys. Rev. Lett. 93 211102 id.
53. M. Yanai T. Maruyama 1966 J. Meteorol. Soc. Japan 44 291
54. J.-P. Zahn 1992 Circulation and turbulence in rotating stars Astron. Astrophys. 265 115
55. J.-P. Zahn S. Talon J. Matias 1997 Angular momentum transport by internal waves in the solar interior Astron. Astrophys. 322 320