MHD dynamo simulation using the GeoFEM platform: Comparison with a spectral method

Pure and Applied Geophysics

Volumn 161, Issue 11-12, 2004, Pages 2199-2212

  Matsui, Hiroaki ^a   Okuda, Hiroshi ^b  

^a RESEARCH ORGANIZATION FOR INFORMATION SCIENCE AND TECHNOLOGY   (Japan)

^b UNIVERSITY OF TOKYO   (Japan)

Author keywords

Finite element method; Geodynamo; Magnetohydrodynamics; Rotating shell

Indexed keywords

COMPARATIVE STUDY; FINITE ELEMENT METHOD; GEODYNAMO; MAGNETOHYDRODYNAMICS; SPECTRAL ANALYSIS; SPHERICAL HARMONICS;

EID: 6444237905     PISSN: 00334553     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00024-004-2558-6     Document Type: Article

References (21)

1. BULLARD, E. C. and GELLMAN, H. (1954), Homogeneous Dynamos and Terrestrial Magnetism, Philo. Trans. Roy. Soc. London A247, 213-278.
2. BUSSE, F.H. (1970), Thermal Instabilities in Rapidly Rotating Systems, J. Fluid Mechan. 44, 441-460.
3. CHAN, K.H., ZHANG, K., ZOU, J., and SCHUBERT, G. (2001a), A Nonlinear Vacillating Dynamo Induced by an Electrically Heterogeneous Mantle, Geophys. Res. Lett. 28, 4411-4414.
4. 2 Dynamo Using A Finite Element Method, Geophys. Res. Lett. 28, 4411-4414.
5. CHANDRASEKHAR, S. (1961), Hydrodynamic and Hydromagnetic Stability Oxford University Press (1961).
6. CHRISTENSEN, U., OLSON, P., and GLATZMAIER, G. A. (1999), Numerical Modelling of the Geodynamo: A Systematic Parameter Study, Geophys. J. Internat. 138, 393-409.
7. CHRISTENSEN, U., AUBERT, J., CARDIN, P., DORMY, E., GIBBONS, S., GLATZMAIER, G. A., GROTE, E., HONKURA, H., JONES, C., KONO, M., MATSUSHIMA, M., SAKURABA, A., TAKAHASHI, F., TILINGER, A., WICHT, J., and ZHANG, K. (2001), A Numerical Dynamo Benchmark, Phys. Earth Planet. Inter. 128, 25-34.
8. FRAZER, M.C. (1974), Spherical Harmonic Analysis of the Navier-Stokes Equation in Magnetofluid Dynamics, Phys. Earth Planet. Inter. 8, 75-82.
9. GLATZMAIER, G. A. and ROBERTS, P. H. (1995a), A Three-dimensional Self-consistent Computer Simulation of a Geomagnetic Field Reversal, Nature 377, 203-209.
10. GLATZMAIER, G. A. and ROBERTS, P. H. (1995b), A Three-dimensional Convective Dynamo Solution with Rotating and Finitely Conducting Inner Core and Mantle, Phys. Earth Planet. Inte. 91, 63-75.
11. GUBBINS, D. and ROBERTS, P. H., Magnetohydrodynamics of the Earth's Core. In Geomagnetism, vol.2, (Academic Press 1987) pp. 1-183.
12. NAKAJIMA, K. and OKUDA, H. (1999), Parallel Iterative Solvers with Localized ILU Preconditioning for Unstructured Grids on Workstation Cluster, Internat. J. Comput. Fluid Dynamics 12, 315-322.
13. HONKURA, Y., IIJIMA, T. and MATSUSHIMA, M. (1992), Magnetic Field Reversal Resulting from a Dynamo Process in a Spherical Shell, J. Geomagnet. Geoelect. 44, 931-941.
14. KAGEYAMA, A., SATO, T., and the COMPLEXITY SIMULATION GROUP (1995), Computer Simulation of a Magnetohydrodynamic Dynamo, Phys. of Plasmas 2, 1421-1431.
15. KUANG, W. and BLOXHAM, J. (1997), An Earth-like Numerical Dynamo Model, Nature, 389, 371-374.
16. KUANG, W. and BLOXHAM, J. (1999), Numerical Modelling of Magnetohydrodynamic Convection in a Rapidly Rotating Spherical Shell: Weak and Strong Field Dynamo Action, J. Comput. Phys. 153, 51-81.
17. MATSUI, H. and OKUDA, H. (2002) , Thermal Convection Analysis in a Rotating Shell by a Parallel Finite-element Method - Development of a Thermal-hydraulic Subsystem of GeoFEM, Concurrency and Computation: Practice and Experience, 14, 465-481.
18. MATSUI, H. and OKUDA, H. (2003a), Development of a Simulation Code for MHD Dynamo Processes Using the GeoFEM Platform, Internat. J. Comput. Fluid Dynamics, submitted.
19. MATSUI, H. and OKUDA, H. (2003b), Treatment of the Magnetic Field for Geodynamo Simulaitons Using the FEM, Earth, Planet and Space, submitted.
20. OKUDA, H. and YAGAWA, G. (2002), Large-scale Parallel Finite element Analysis for Solid Earth Problems by GeoFEM, Surveys on Math. Industry, submitted.
21. SAKURABA, A. and KONO, M. (1999), Effects of the Inner Core on the Numerical Simulation of the Magnetohydrodynamic Dynamo, Phys. Earth Planet. Int. 111, 105-121.