Time dependent ß-convection in rapidly rotating spherical shells

Physics of Fluids

Volumn 16, Issue 5, 2004, Pages 1603-1609

  Morin, V ^a   Dormy, E ^a  

^a INSTITUT DE PHYSIQUE DU GLOBE DE PARIS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; HEAT CONVECTION; MATHEMATICAL MODELS; MATHEMATICAL TECHNIQUES; PRANDTL NUMBER; SPHERES;

EKMAN NUMBERS; FLUID SHELLS; RAYLEIGH NUMBER; VACILLATING FLOW;

FLOW OF FLUIDS;

CONVECTION;

EID: 2442640068     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1703530     Document Type: Article

References (22)

1. C. A. Jones, A. M. Soward, and A. I. Mussa, "The onset of thermal convection in a rapidly rotating sphere," J. Fluid Mech. 405, 157 (2000).
2. A. M. Soward, "On the finite amplitude thermal instability in a rapidly rotating fluid sphere," Geophys. Astrophys. Fluid Dyn. 9, 19 (1977).
3. F. H. Busse, "Thermal instabilities in rapidly rotating systems," J. Fluid Mech. 44, 441 (1970).
4. K. Zhang, "Spiralling columnar convection in rapidly rotating spherical fluid shells," J. Fluid Mech. 236, 535 (1992).
5. M. R. E. Proctor, "Convection and magnetoconvection in a rapidly rotating sphere," Lectures on Solar and Planetary dynamo (Cambridge University Press, Cambridge, 1994), p. 97.
6. F. H. Busse and A. C. Or, "Convection in a rotating cylindrical annulus: Thermal Rossby waves," J. Fluid Mech. 166, 173 (1986).
7. A. C. Or and F. H. Busse, "Convection in a rotating cylindrical annulus. Part 2. Transition to asymmetric and vacillating flow," J. Fluid Mech. 174, 313 (1987).
8. E. Grote, F. H. Busse, and R. Simitev, "Buoyancy Driven Convection in Rotating Spherical Shells and Its Dynamo Action," High Performance Computing in Science and Engineering, edited by E. Krause and W. Jäger (Springer-Verlag, New York, 2001).
9. C. X. Chen and K. Zhang, "Nonlinear convection in a rotating annulus with a finite gap," Geophys. Astrophys. Fluid Dyn. 96, 499 (2002).
10. J.-I. Yano, "Asymptotic theory of thermal convection in rapidly rotating systems," J. Fluid Mech. 243, 103 (1992).
11. J. Aubert, N. Gillet, and P. Cardin, "Quasigeostrophic models of convection in rotating spherical shells," Geochem. Geophys. Geosyst. 4, 1052 (2003).
12. E. Plaut and F. H. Busse, "Low-Prandtl-number convection in a rotating cylindrical annulus," J. Fluid Mech. 464, 345 (2002).
13. E. Dormy, A. M. Soward, C. A. Jones, D. Jault, and P. Cardin, "The onset of thermal convection in rotating spherical shells," J. Fluid Mech. 501, 43 (2004).
14. P. H. Roberts, "On the thermal instability of a rotating-fluid sphere containing heat sources," Philos. Trans. R. Soc. London, Ser. A 263, 93 (1968).
15. E. Grote and F. H. Busse, "Dynamics of convection and dynamos in rotating spherical fluid shells," Fluid Dyn. Res. 28, 349 (2001).
16. F. H. Busse, "Convective flows in rapidly rotating spheres and their dynamos action," Phys. Fluids 14, 1301 (2002).
17. K. Zhang, "Convection in a rapidly rotating spherical shell at infinite Prandtl number: Transition to vacillating flows," Phys. Earth Planet. Inter. 72, 236 (1992).
18. M. Schnaubelt and F. H. Busse, "Convection in a rotating cylindrical annulus. Part 3. Vacillating and spatially modulated flows," J. Fluid Mech. 245, 155 (1992).
19. A. Abdulrahman, C. A. Jones, M. R. E. Proctor, and K. Julien, "Large wavenumber convection in the rotating annulus," Geophys. Astrophys. Fluid Dyn. 93, 227 (2000).
20. K. Kumar, S. Fauve, and O. Thual, "Critical self-tuning: The example of zero Prandtl number convection," J. Phys. II 6, 945 (1996).
21. N. Brummell and J. Hart, "High Rayleigh number β-convection," Geophys. Astrophys. Fluid Dyn. 68, 85 (1993).
22. J.-P. Valet and L. Meynadier, "Geomagnetic field intensity and reversals during the last four million years," Nature (London) 366, 234 (1993).