A multiwave approximate Riemann solver for ideal MHD based on relaxation II: Numerical implementation with 3 and 5 waves

Numerische Mathematik

Volumn 115, Issue 4, 2010, Pages 647-679

  Bouchut, François ^a,b   Klingenberg, Christian ^c   Waagan, Knut ^d  

^a ECOLE NORMALE SUPÉRIEURE   (France)

^b CNRS   (France)

^c UNIVERSITY OF WÜRZBURG   (Germany)

^d NATIONAL CENTER FOR ATMOSPHERIC RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77953119718     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-010-0289-4     Document Type: Article

References (12)

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3. Bouchut, F.: Nonlinear stability of finite volume methods for hyperbolic conservation laws and well-balanced schemes for sources. Frontiers in Mathematics, vol. 8, 135 p, Birkhäuser, Basel (2004).
4. Bouchut, F., Klingenberg, C., Waagan, K.: A multiwave approximate riemann solver for ideal mhd based on relaxation III-numerical implementation with 7 waves. (To appear).
5. Bouchut F., Klingenberg C., Waagan K.: A multiwave approximate riemann solver for ideal mhd based on relaxation I-theoretical framework. Numer. Math. 108(1), 7-41 (2007).
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9. Gurski K. F.: An HLLC-type approximate Riemann solver for ideal magnetohydrodynamics. SIAM J. Sci. Comput. 25(6), 2165-2187 (2004).
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12. Powell, K. G.: An approximate Riemann solver for magnetohydrodynamics (that works in more than one dimension). Technical report, Institute for Computer Applications in Science and Engineering (ICASE) (1994).