Numerical study of a rotating fluid in a spheroidal container

Journal of Computational Physics

Volumn 197, Issue 2, 2004, Pages 671-685

  Schmitt, Denys ^a   Jault, D ^b  

^a CNRS   (France)

^b UNIVERSITÉ GRENOBLE ALPES   (France)

Author keywords

Mie decomposition; Rotating fluids; Spheroidal geometry; Viscous effects

Indexed keywords

EQUATIONS OF MOTION; FINITE DIFFERENCE METHOD; HARMONIC ANALYSIS; ROTATING MACHINERY; VISCOUS FLOW;

DIRECT-NUMERICAL-SIMULATION; MIE DECOMPOSITION; OBLATE SPHEROIDAL COORDINATES; ROTATING FLUIDS; SCALAR FIELDS; SPHERICAL HARMONICS; SPHEROIDAL COORDINATE SYSTEM; SPHEROIDAL GEOMETRY; VECTOR FIELDS; VISCOUS EFFECT;

CONTAINERS;

EID: 3242681300     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2003.12.014     Document Type: Article

References (23)

1. Poincaré R. Sur la précession des corps déformables Bull. Astr. 27 1910 321
2. Stewartson K. Roberts P.H. On the motion of a liquid in a spheroidal cavity of a precessing rigid body J. Fluid Mech. 17 1963 1
3. Busse F.H. Steady fluid flow in a precessing spheroidal shell J. Fluid Mech. 33 1968 739
4. Greenspan H.P. The Theory of Rotating Fluids 1968 Cambridge University Press Cambridge
5. Hollerbach R. Kerswell R.R. Oscillatory internal shear layers in rotating and precessing flows J. Fluid Mech. 298 1995 327
6. Quartapelle L. Verri M. On the spectral solutions of the 3-dimensional Navier-Stokes equations in spherical and cylindrical regions Comput. Phys. Commun. 90 1995 1
7. Malkus W.V.R. Precession of the Earth as the cause of geomagnetism Science 160 1968 259
8. Vanyo J.P. Wilde P. Cardin P. Olson P. Experiments on precessing flows in the Earth's liquid core Geophys. J. Int. 121 1995 136
9. Noir J. Cardin P. Jault D. Masson J.P. Experimental evidence of nonlinear resonance effects between retrograde precession and the tilt-over mode within a spheroid Geophys. J. Int. 154 2003 407
10. Malkus W.V.R. Energy sources for planetary dynamos in: Proctor M.R.E. Gilbert A.D. (Eds.), Lectures on Solar and Planetary Dynamos 1994 161 Cambridge University Press Cambridge
11. Tilgner A. Magnetohydrodynamic flow in precessing spherical shells J. Fluid Mech. 379 1999 303
12. Christensen U.R. Aubert J. Cardin P. Dormy E. Gibbons S. Glatzmaier G.A. Grote E. Honkura Y. Jones C. Kono M. Matsushima M. Sakuraba A. Takahashi F. Tilgner A. Wicht J. Zhang K. A numerical dynamo benchmark Phys. Earth Planet. Inter. 128 2001 25
13. Tilgner A. Busse F.H. Fluid flows in precessing spherical shells J. Fluid Mech. 426 2001 387
14. Noir J. Jault D. Cardin P. Numerical study of the motions within a slowly precessing sphere at low Ekman number J. Fluid Mech. 437 2001 283
15. Walker M.R. Barenghi C.F. High resolution numerical dynamos in the limit of a thin disk galaxy Geophys. Astrophys. Fluid Dyn. 76 1994 265
16. Tilgner A. Non-axisymmetric shear layers in precessing fluid ellipsoidal shells Geophys. J. Int. 136 1999 629
17. Lorenzani S. Tilgner A. Fluid instabilities in precessing spheroidal cavities J. Fluid Mech. 447 2001 111
18. Lorenzani S. Tilgner A. Inertial instabilities of fluid flow in precessing spheroidal shells J. Fluid Mech. 492 2003 363
19. Backus G. Parker R. Constable C. Foundations of Geomagnetism 1996 Cambridge University Press Cambridge
20. Morse P.M. Feshbach H. Methods of Theoretical Physics 1953 McGraw-Hill New-York
21. Kerswell R.R. The instability of precessing flow Geophys. Astrophys. Fluid Dyn. 72 1993 107
22. Roberts P.H. Stewartson K. On the motion of a liquid in a spheroidal cavity of a precessing rigid body: II Proc. Cambridge Phil. Soc. 61 1965 279
23. Noir J. Brito D. Aldridge K. Cardin P. Experimental evidence of inertial waves in a precessing spheroidal cavity Geophys. Res. Lett. 28 2001 3785