Solution of Riemann problem of conservation laws in van der Waals gas

被引：4

作者：

Gupta, Pooja ^{[1
]}

Chaturvedi, Rahul Kumar ^{[1
]}

Singh, L. P. ^{[1
]}

机构：

[1] Banaras Hindu Univ, Indian Inst Technol, Dept Math Sci, Varanasi, Uttar Pradesh, India

来源：

WAVES IN RANDOM AND COMPLEX MEDIA | 2022年

关键词：

Hyperbolic PDEs; Riemann problem; van der Waals; shock wave; simple wave; DELTA INITIAL DATA; HYPERBOLIC SYSTEMS;

D O I：

10.1080/17455030.2021.2017068

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The present study is concerned with the analytical solution of Riemann problem for conservation laws of van der Waals gas. By utilizing Rankine-Hugoniot conditions and Lax entropy condition, we derive classical wave solution of Riemann problem and analyze their properties. Also, it is observed here that van der Waals gasdynamics system is more complex in comparison to ideal gasdynamics case. Further, the effect of presence of intermolecular forces of attraction between the particles and variation of covolume of the gas on the density and velocity distribution across the simple wave, shock wave and contact discontinuities is discussed.

引用

页码：6032 / 6050

页数：19

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