NDLI: A High-Order Godunov-Type Scheme for Shock Interactions in Ideal Magnetohydrodynamics

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Dai, Wenlong Woodward, Paul R.
Copyright Year	1997
Abstract	A high-order Godunov-type scheme is developed for the shock interactions in ideal magnetohydrodynamics (MHD). The scheme is based on a nonlinear Riemann solver and follows the basic procedure in the piecewise parabolic method. The scheme takes into account all the discontinuities in ideal MHD and is in a strict conservation form. The scheme is applied to numerical examples, which include shock-tube problems in ideal MHD and various interactions between strong MHD shocks. All the waves involved in the corresponding Riemann problems are resolved and are correctly displayed in the simulation results. The correctness of the scheme is shown by the comparison between the simulation results and the solutions of the Riemann problems. The robustness of the scheme is demonstrated through the numerical examples. It is shown that the scheme offers the principle advantages of a high-order Godunov-type scheme: robust operation in the presence of very strong waves, thin shock fronts, and thin contact and slip surface discontinuities.
Starting Page	957
Ending Page	981
Page Count	25
File Format	PDF
ISSN	10648275
DOI	10.1137/S1064827593257729
e-ISSN	10957197
Issue Number	4
Volume Number	18
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2006-07-25
Access Restriction	Subscribed
Subject Keyword	MHD shocks Conservation laws Godunov-type method hyperbolic conservation laws finite difference methods Magnetohydrodynamics and electrohydrodynamics Riemann problems
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Computational Mathematics

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