Work

Comparison of Riemann Solutions to the Euler Equations for Modified and Generalized Chaplygin Gas Dynamics

Year: 2025

Type: article

Abstract: In this article, utilizing the method of characteristic analysis, we construct the Riemann solutions of the Euler equations for the modified and the generalized Chaplygin gas, which contains rarefaction waves, shock waves, contact discontinuities and $ \delta- $ shock waves. For the $ \delta- $ shock waves, we propose generalized Rankine-Hugoniot relation and entropy conditon. Moreover, by studing the limiting behaviour, we find that the Riemann solutions of modified Chaplygin gas is the same as generalized Chaplygin gas including the $ \delta- $shock waves. Moreover, we give some numerical simulations to verify the theoretical analysis.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240534

Authors: Li Wang, Xiaomei Liu, Kun-Peng Jin

Institutions: Shanghai Dianji University, Shanghai Polytechnic University, Nanning Normal University

Language: English

Topic: Computational Fluid Dynamics and Aerodynamics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Natural Science Foundation of Guangxi Province

Awards: G1090792446, G326975094, G4360430227, G5107675628