A new comment on the computation of non-conservative products using Roe-type path conservative schemes

JOURNAL OF COMPUTATIONAL PHYSICS

卷:335

Article

Chalons, Christophe¹  Coquel, Frederic^2,3 

[1] Univ Paris Saclay, CNRS, UVSQ, Lab Math Versailles, F-78035 Versailles, France

[2] Ecole Polytech, CNRS, Route Saclay, F-91128 Palaiseau, France

[3] Ecole Polytech, UMR 7641, Ctr Math Appl, Route Saclay, F-91128 Palaiseau, France

关键词: Discontinuous solutions;    Non-conservative hyperbolic systems;    Gas dynamics equations;    Roe-type path-conservative schemes;   

DOI  :  10.1016/j.jcp.2017.01.016

来源: Elsevier

【 摘 要 】

We are interested in the numerical approximation of the discontinuous solutions of non-conservative hyperbolic systems. We more precisely consider a non-conservative formulation of the usual gas dynamics equations and show how to slightly modify the so-called Roe-type path-conservative schemes to properly capture the underlying shock discontinuities. Numerical evidences are proposed. The present note follows a first comment on the computation of non-conservative products in [1]. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

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