A Positive Conservative Method for Magnetohydrodynamics Based on HLL and Roe Methods

Journal of Computational Physics

Volumn 160, Issue 2, 2000, Pages 649-661

  Janhunen, P ^a  

^a FINNISH METEOROLOGICAL INSTITUTE   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

NUMERICAL METHODS;

FINITE-VOLUME; FIRST ORDER; IDEAL MAGNETOHYDRODYNAMICS; MAGNETIC FIELD COMPONENTS; NEGATIVE PRESSURES; PROBLEM SOLUTIONS; RIEMANN PROBLEM; ROE'S METHODS; SOURCE TERMS; TYPE METHODS;

MAGNETOHYDRODYNAMICS;

EID: 0001388659     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2000.6479     Document Type: Article

References (21)

1. Brio M., Wu C. C. An upwind differencing scheme for the equations of ideal magnetohydrodynamics. J. Comput. Phys. 75:1988;400.
2. Croisille J., Khanfir R., Chanteur G. Numerical simulation of the MHD equations by a kinetic-type method. J. Sci. Comput. 10:1995;81.
3. Einfeldt B. On Godunov-type methods for gas dynamics. SIAM J. Numer. Anal. 25:1988;294.
4. Einfeldt B., Munz C. D., Roe P. L., Sjögreen B. On Godunov-type methods near low densities. J. Comput. Phys. 92:1991;273.
5. Godunov S. K. On Symmetric Form of the Equations of Magnetohydrodynamics. 1972.
6. Harten A., Lax P. D., van Leer B. On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. SIAM Rev. 25:1983;35.
7. Jackson J. D. Classical Electrodynamics. 1975.
8. Janhunen P. GUMICS-3-A global ionosphere-magnetosphere coupling simulation with high ionospheric resolution. Proc. Environmental Modelling for Space-Based Applications, Sept. 18-20, 1996. 1996.
9. Janhunen P. On the possibility of using an electromagnetic ionosphere in global MHD simulations. Ann. Geophys. 16:1998;397.
10. Janhunen P., Amm O., Greenwald R. Adaptive mesh in global magnetosphere simulation: Comparisons with global convection. Portugal Cambridge Symposium Workshop Proceedings. 1998.
11. LeVeque R. J. Numerical Methods for Conservation Laws. 1992.
12. Linde T. J. A Three-Dimensional Adaptive Multifluid MHD Model of the Heliosphere. 1998.
13. Moschetta J.-M., Pullin D. I. A robust low diffusive kinetic scheme for the Navier-Stokes/Euler equations. J. Comput. Phys. 133:1997;193.
14. Myong R. S. Theoretical and Computational Investigations of Nonlinear Waves in Magnetohydrodynamics. 1996.
15. Powell K. G. An Approximate Riemann Solver for Magnetohydrodynamics (That Works in More than One Dimension). 1994.
16. Powell K. G. Solution of the Euler and magnetohydrodynamic equations on solution-adaptive Cartesian grids. Computational Fluid Dynamics. March 1996.
17. Raeder J., Walker R. J., Ashour-Abdalla M. The structure of the distant geomagnetic tail during long periods of northward IMF. Geophys. Res. Lett. 22:1995;349.
18. Roe P. L., Balsara D. S. Notes on the eigensystem of magnetohydrodynamics. SIAM J. Appl. Math. 56:1996;57.
19. Schmidt-Voigt M. Time-dependent MHD simulations for cometary plasmas. Astron. Astrophys. 210:1989;433.
20. Tanaka T. Finite volume TVD scheme on an unstructured grid system for three-dimensional MHD simulation of inhomogeneous systems including strong background potential fields. J. Comput. Phys. 111:1994;381.
21. Tanaka T. Generation mechanisms for magnetosphere-ionosphere current systems deduced from a three-dimensional MHD simulation of the solar wind-magnetosphere-ionosphere coupling processes. J. Geophys. Res. 100:1995;12,057.