Magnetohydrodynamics Code Basics

Details Magnetohydrodynamics Code Basics Magnetohydrodynamics Code Basics

Dec 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001jkas...34..209r&link_type=abstract

Journal of the Korean Astronomical Society, vol. 34, no. 4, pp. 209-213

Astronomy and Astrophysics

Astronomy

Methods: Numerical, Mhd

Scientific paper

This paper describes the numerical solution to the hyperbolic system of magnetohydrodynamic (MHD) equations. First, by pointing out the approximations involved, the deal MHD equations are presented. Next, the MHD waves as well as the associated shocks and discontinuities, are presented. Then, based on the hyperbolicity of the ideal MHD equations, the application of upwind schemes, which have been developed for hydrodynamics, is discussed to solve the equations numerically. As an definite example, one and multi-dimensional codes based on the Total Variation Diminishing scheme are presented. The treatment in the multi-dimensional code, which maintains nabla.B=0, is described. Through tests, the robustness of the upwind schemes for MHDs is demonstrated.

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