Analytical solutions to the Euler equations for Chaplygin gas

Hongjing Jiang, Jianwei Dong

Type: Article

Publication Date: 2024-05-24

Citations: 0

DOI: https://doi.org/10.1088/1402-4896/ad46c3

Abstract

Abstract In this paper, we study the analytical solutions to the Euler equations for Chaplygin gas. First, we construct two exact solutions for the one-dimensional system by using a self-similar ansatz. Second, we present some analytical solutions for the N -dimensional radially symmetric system. Third, we extend the above results to the two-phase flow case. The concentration and cavitation phenomena are observed from the constructed solutions.

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