Application of the Yin-Yang grid to a thermal convection of a Boussinesq fluid with infinite Prandtl number in a three-dimensional spherical shell

Geophysical Research Letters

Volumn 31, Issue 12, 2004, Pages

  Yoshida, Masaki ^a   Kageyama, Akira ^a  

^a JAPAN AGENCY FOR MARINE EARTH SCIENCE AND TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; HEAT CONVECTION; PROBLEM SOLVING; THREE DIMENSIONAL; VELOCITY MEASUREMENT; PRANDTL NUMBER;

MANTLE CONVECTION; SPATIAL DISCRETIZATION;

GEOPHYSICS; NATURAL CONVECTION;

FLUID DYNAMICS; MANTLE CONVECTION; THERMAL CONVECTION;

BOUSSINESQ FLUIDS; INFINITE PRANDTL NUMBER; LATITUDE LONGITUDE GRID; MANTLE CONVECTION; SPATIAL DISCRETIZATIONS; SPHERICAL SHELL; THERMAL CONVECTIONS; VARIABLE VISCOSITY;

EID: 6044260067     PISSN: 00948276     EISSN: None     Source Type: Journal    
DOI: 10.1029/2004GL019970     Document Type: Article

References (24)

1. Baumgardner, J. R. (1985), Three-dimensional treatment of convective flow in the Earth's mantle, J. Stat. Phys., 39, 501-511.
2. Bercovici, D., G. Schubert, G. A. Glatzmaier, and A. Zebib (1989), Three dimensional thermal convection in a spherical shell, J. Fluid Mech., 206, 75-104.
3. Bunge, H.-P., and J. R. Baumgardner (1995), Mantle convection modeling on parallel virtual machines, Comput. Phys., 9, 207-215.
4. Busse, F. H. (1975), Patterns of convection in spherical shells, J. Fluid Mech., 72, 67-85.
5. Busse, F. H., and N. Riahi (1982), Patterns of convection in spherical shells: Part 2, J. Fluid Mech., 123, 283-301.
6. Chesshire, G., and W. D. Henshaw (1990), Composite overlapping meshes for the solution of partial differential equations, J. Comput. Phys., 90, 1-64.
7. Ferziger, J. H., and M. Perić (2002), Computational Methods for Fluid Dynamics, 3rd ed., 423 pp., Springer-Verlag, New York.
8. Fornberg, B. (1996), A Practical Guide to Pseudospectral Methods, 242 pp., Cambridge Univ. Press, New York.
9. Fornberg, B., and D. Merrill (1997), Comparison of finite difference and pseudospectral methods for convective flow over a sphere, Geophys. Res. Lett., 24(24), 3245-3248.
10. Glatzmaier, G. A. (1988), Numerical simulations of mantle convection: Time-dependent, three-dimensional, compressible, spherical shell, Geophys. Astrophys. Fluid Dyn., 43, 223-264.
11. Harder, H., and U. R. Christensen (1996), A one-plume model of Martian mantle convection, Nature, 380, 507-509.
12. Iwase, Y. (1996), Three-dimensional infinite Prandtl number convection in a spherical shell with temperature-dependent viscosity, J. Geomag. Geoelectr., 48, 1499-1514.
13. Larsen, T. B., D. A. Yuen, J. M. Moser, and B. Fornberg (1997), A high-order finite-difference method applied to large Rayleigh number mantle convection, Geophys. Astrophys. Fluid Dyn., 84, 53-83.
14. Machetel, P., M. Rabinowicz, and P. Bernardet (1986), Three-dimensional convection in spherical shells, Geophys. Astrophys. Fluid Dyn., 37, 57-84.
15. Patankar, S. V. (1980), Heat Transfer and Fluid Flow, 197 pp., Taylor and Francis, Philadelphia, Pa.
16. Ratcliff, J. T., G. Schubert, and A. Zebib (1996), Steady tetrahedral and cubic patterns of spherical shell convection with temperature-dependent viscosity, J., Geophys. Res., 101(B11), 25,473-25,484.
17. Ratcliff, J. T., P. J. Tackley, G. Schubert, and A. Zebib (1997), Transitions in thermal convection with strongly variable viscosity, Phys. Earth Planet. Inter., 102, 201-212.
18. Richards, M. A., W.-S. Yang, J. R. Baumgardner, and H.-P. Bunge (2001), Role of a low-viscosity zone in stabilizing plate tectonics: Implications for comparative terrestrial planetology, Geochem. Geophys. Geosyst., 2(8), Paper number 2000GC000115.
19. Schubert, G. (2001), Mantle Convection in the Earth and Planets, 940 pp., Cambridge Univ. Press, New York.
20. Tabata, M., and A. Suzuki (2000), A stabilized finite element method for the Rayleigh-Benard equations with infinite Prandtl number in a spherical shell, Comput. Methods Appl. Mech. Eng., 190, 387-402.
21. Trompert, R. A., and U. Hansen (1998), On the Rayleigh number dependence of convection with a strongly temperature-dependent viscosity, Phys. Fluids, 10, 351-360.
22. Vasilyev, O. V., D. A. Yuen, and Y. Y. Podladchikov (1997), Applicability of wavelet algorithm for geophysical viscoelastic flow, Geophys. Res. Lett., 24(23), 3097-3100.
23. Zhang, S., and D. A. Yuen (1995), The influences of lower mantle viscosity stratification on 3D spherical-shell mantle convection, Earth Planet. Sci. Lett., 132, 157-166.
24. Zhong, S., M. T. Zuber, L. Moresi, and M. Gurnis (2000), Role of temperature-dependent viscosity and surface plates in spherical shell models of mantle convection, J. Geophys. Res., 105(B5), 11,063-11,082.