,Varying the spherical shell geometry in rotating thermal convection

Geophysical and Astrophysical Fluid Dynamics

Volumn 98, Issue 2, 2004, Pages 153-169

  Al Shamali, F M ^a   Heimpel, M H ^a   Aurnou, J M ^b  

^a UNIVERSITY OF ALBERTA   (Canada)

^b GEOPHYSICAL LABORATORY   (United States)

Author keywords

Radius ratio; Rotation; Shell geometry; Thermal convection

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; FUNCTIONS; GEOMETRY; PRANDTL NUMBER;

RADIUS RATIO; ROTATING CONVECTION; SHELL EQUATOR; WAVE NUMBER;

HEAT CONVECTION;

BOUNDARY CONDITIONS; CONVECTION; EDDY; ROTATING FLOW;

EID: 5044227168     PISSN: 03091929     EISSN: None     Source Type: Journal    
DOI: 10.1080/03091920410001659281     Document Type: Article

References (27)

1. Aubert, J., Brito, D., Nataf, H.-C., Cardin, P. and Masson, J.-P., " A systematic experimental study of spherical shell convection in water and liquid gallium", Phys. Earth. Planet. Inter. 128, 51-74 (2001).
2. Busse, F.H., "Thermal instabilities in rapidly rotating systems", J. Fluid Mech..44, 441-460 (1970).
3. Busse, F.H. and Carrigan, C.R., "Laboratory simulation of thermal convection in rotating planets and stars", Science 191, 81-83 (1975 ).
4. Cardin, P. and Olson, P., "An experimental approach to thermochemical convection in the Earth's core", Geophys. Res. Lett. 19, 1995-1998 (1992).
5. Cardin, P. and Olson, P., "Chaotic thermal convection ina rapidly rotating spherical shell: consequences for flow in the outer core", Phys. Earth Planet. Inter. 82, 235-259 (1994).
6. Chandrasekhar, S., Hydrodynamic and Hydromagnetic Stability, New York, Oxford University Press (1961).
7. Christensen, U., Olson P. and Glatzmaier, G.A., "Numerical modeling of the geodynamo: a systematic parameter study", Geophys. J. Int. 138, 393-409 (1999).
8. Dormy, E., "Modelisation Numerique de la Dynamo Terrestre", Ph.D. Thesis, Institut de Physique du Globe de Paris (1997).
9. Drew, S.J., "Thermal convection in a spherical shell with a variable radius ratio", Geophys. Astrophys. Fluid. Dynam. 59, 165-183 (1991).
10. Glatzmaier, G.A. and Olson, P.L., "Highly supercritical thermal convection in a rotating spherical shell: centrifugal vs. radial gravity", Geophys. Astrophys. Fluid. Dynam. 70, 113-136 (1993).
11. Jones, C.A., Soward, A.M. and Mussa, A.I., "The onset of thermal convection in a rapidly rotating sphere", J. Fluid Mech. 405, 157-169 (2000).
12. Kono, M. and Roberts, P.H., "Definition of the Rayleigh number for geodynamo simulation", Phys. Earth. Planet. Int. 128, 13-24 (2001).
13. Miesch, M.S., Elliott, J.R., Toomre, J., Clune, T.C., Glatzmaier, G.A. and Gilman, P.A., "Three-dimensional spherical simulations of solar convection: differential rotation and pattern evolution achieved with laminar and turbulent states", Astrophys. J. 532, 593-615 (2000).
14. 2 D hydromagnetic dynamos", Phys. Earth. Planet. Inter. 117, 237-258 (2000).
15. Olson, P.L., and Glatzmaier, G.A., "Magnetoconvection in a rotating spherical shell: structure of flow in the outer core", Phys. Earth. Planet. Inter. 92, 109-118 (1995).
16. , Proc. R. Soc. Lond. A 92, 408-424 (1916).
17. Roberts, P.H., "On the thermal instability of a rotating-fluid sphere containing heat sources", Phil. Trans. Soc. Lond. A 263, 93-117 (1968).
18. Roberts, P.H. and Glatzmaier, G.A., "The geodynamo, past, present and future", Geophys. Astrophys. Fluid Dynam. 94, 47-84 (2001).
19. Sakuraba, A. and Kono, M., "Effects of the inner core on the numerical solution of the magnetohydrodynamic dynamo", Phys. Earth. Planet. Inter. 111, 105-121 (1999).
20. Schubert, G. and Zhang, K., "Effects of an electrically conducting inner core on planetary and stellar dynamos", Astrophys. J. 557, 930-942 (2001).
21. Sumita, I. and Olson, P., "Laboratory experiments on high Rayleigh number thermal convection in a rapidly rotating hemispherical shell" , Phys. Earth. Planet. Inter. 117, 153-170 (2000).
22. Tilgner, A. and Busse, F.H., "Finite amplitude convection in rotating spherical fluid shells", J. Fluid Mech. 332, 359-376 (1997 ).
23. Wicht, J., "Inner-core conductivity in numerical dynamo simulations", Phys. Earth. Planet. Inter. 132, 281-302 (2002).
24. Yano, J.-I., "Asymptotic theory of thermal convection in rapidly rotating systems", J. Fluid Mech. 243, 103-131 (1992).
25. Zhang, K. and Jones, C.A., "The influence of Ekman boundary layers on rotating convection", Geophys. Astrophys. Fluid Dynam. 71, 145-162 (1993).
26. Zhang, K., "Spiraling columnar convection in rapidly rotating spherical shells", J. Fluid Mech. 236, 535-556 (1992).
27. Zhang, K. and Greed, G.T., "Convection in a rotating annulus: An asymptotic theory and numerical solutions", Phys. Fluids 10, 2396-2404 (1998).