Abstract
We present a second order accurate numerical scheme for ideal magnetohydrodynamical equations. Our numerical scheme is an upwind scheme based on the flux vector splitting and an extension of Roe’s scheme. The second order accuracy is achieved by MUSCL, the Monotone Upstreamcentered Scheme for Conservation Laws approach. Our numerical scheme ensures the total variation diminishing (TVD) as far as Courant number is smaller than unity.
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References
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© 1999 Springer Science+Business Media Dordrecht
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Fukuda, N., Hanawa, T. (1999). A Second Order Accurate Numerical Scheme for MHD Equations. In: Miyama, S.M., Tomisaka, K., Hanawa, T. (eds) Numerical Astrophysics. Astrophysics and Space Science Library, vol 240. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4780-4_115
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DOI: https://doi.org/10.1007/978-94-011-4780-4_115
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6008-0
Online ISBN: 978-94-011-4780-4
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