The Riemann problem for an isentropic ideal dusty gas flow with a magnetic field

被引：5

作者：

Pang, Yicheng ^{[1
]}

Ge, Jianjun ^{[1
]}

Yang, Huawei ^{[2
]}

Hu, Min ^{[1
]}

机构：

[1] Guizhou Univ Finance & Econ, Dept Appl Math, Guiyang 550025, Peoples R China

[2] Guizhou Univ Finance & Econ, Coll Big Data Applicat & Econ, Guiyang 550025, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 07期

基金：

中国国家自然科学基金;

关键词：

dusty gas flow; magnetogasdynamics; Riemann problem; ELEMENTARY WAVE INTERACTIONS; NONIDEAL GAS; SHOCK-WAVE; SIMILARITY SOLUTIONS; MIXTURE;

D O I：

10.1002/mma.6172

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with Riemann problem for one-dimensional inviscid, isentropic, and perfectly conducting ideal dusty gas flow with a transverse magnetic field. The explicit expressions of elementary waves are derived in terms of the density, velocity, and transverse magnetic induction of an ideal dusty gas flow. The analytical properties of elementary wave curves and the influence of parameter on the elementary waves are discussed. A new approach is proposed to resolve the Riemann problem. By applying this approach, we obtain 10 kinds of exact solutions and their corresponding criteria.

引用

页码：4036 / 4049

页数：14

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