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Article Dans Une Revue Numerical Methods for Partial Differential Equations Année : 2012

Asymptotic-preserving Godunov-type numerical schemes for hyperbolic systems with stiff and non-stiff relaxation terms

Résumé

We devise a new-class of asymptotic-preserving Godunov-type numerical schemes for hyperbolic systems with sti ff and non-sti ff relaxation source terms governed by a relaxation time epsilon. 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 epsilon and second, to make optional the choice of the numerical scheme in the asymptotic regime epsilon tends to zero. The latter property may be of particular interest to make easier and more e fficient the coupling at a fi xed spatial interface of two models involving very di fferent values of epsilon.
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Dates et versions

hal-00909103 , version 1 (25-11-2013)

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Christophe Berthon, Christophe Chalons, Rodolphe Turpault. Asymptotic-preserving Godunov-type numerical schemes for hyperbolic systems with stiff and non-stiff relaxation terms. Numerical Methods for Partial Differential Equations, 2012, vol 29 (4), pp 1149-1172. ⟨10.1002/num.21749⟩. ⟨hal-00909103⟩
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