Revisiting the method of characteristics via a convex hull algorithm

We revisit the method of characteristics for shock wave solutions to nonlinear hyperbolic problems and we propose a novel numerical algorithm—the convex hull algorithm (CHA)—which allows us to compute both entropy dissipative solutions (satisfying all entropy inequalities) and entropy conservative (...

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Veröffentlicht in:	Journal of computational physics 2015-10, Vol.298, p.95-112
Hauptverfasser:	LeFloch, Philippe G., Mercier, Jean-Marc
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Compressible fluid Computational geometry Convexity Dissipation Entropy Hulls (structures) Hyperbolic equations Mathematical models Mathematics Method of characteristics Numerical algorithm
Online-Zugang:	Volltext
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