Title: Note on the Riemann solutions to the Euler equations of gas dynamics in the vanishing pressure limit
Abstract: The behaviour of the solutions of the Riemann problem for the isentropic Euler equations in vanishing pressure limit is analyzed. It is shown that any solution composed of a 1-shock wave combined with a 2-rarefaction wave tends to a two-shock waves when the pressure coefficient gets smaller than a fixed value determined by the Riemann data. In contrast, any solution composed of a 1-rarefaction wave combined with a 2-shock wave tends to a two-rarefaction waves when the pressure coefficient gets smaller than a fixed value determined by the Riemann data. The two situations are illustrated with a numerical test.
Publication Year: 2018
Publication Date: 2018-05-12
Language: en
Type: article
Access and Citation
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot