Asymptotic‐preserving Godunov‐type numerical schemes for hyperbolic systems with stiff and nonstiff relaxation terms |
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Authors: | C. Berthon C. Chalons R. Turpault |
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Affiliation: | 1. Université de Nantes, Laboratoire de Mathématiques Jean Leray, Nantes, France;2. Université P. et M. Curie, Laboratoire Jacques‐Louis Lions, Paris, France |
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Abstract: | We devise a new class of asymptotic‐preserving Godunov‐type numerical schemes for hyperbolic systems with stiff and nonstiff relaxation source terms governed by a relaxation time ε. As an alternative to classical operator‐splitting techniques, the objectives of these schemes are twofold: first, to give accurate numerical solutions for large, small, and in‐between values of ε and second, to make optional the choice of the numerical scheme in the asymptotic regime ε tends to zero. The latter property may be of particular interest to make easier and more efficient the coupling at a fixed spatial interface of two models involving very different values of ε. © 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2013 |
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Keywords: | asymptotic‐preserving schemes Godunov‐type schemes |
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