Delta shock wave in the compressible Euler equations for a Chaplygin gas

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:448

Article

Pang, Yicheng¹ 

[1] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550025, Peoples R China

关键词: Euler equations;    Riemann problem;    Delta shock wave;    Chaplygin gas;   

DOI  :  10.1016/j.jmaa.2016.10.078

来源: Elsevier

【 摘 要 】

We study the Riemann problem of the compressible Euler equations for the Chaplygin gas. With the analysis on the physically relevant region, we obtain two kinds of Riemann solutions by using the method of characteristic analysis. One composes of three contact discontinuities, and the other involves a delta shock wave in which both density and internal energy contain Dirac delta function simultaneously. We propose both generalised Rankine-Hugoniot relation and entropy condition for this type of delta shock wave. The numerical results coinciding with the theoretical analysis are also presented. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

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