The Riemann problem for an isentropic ideal dusty gas flow with a magnetic field. (23rd January 2020)

• Record Type: Journal Article
• Authors: Pang, Yicheng; Ge, Jianjun; Yang, Huawei; Hu, Min
• Is Part Of: Mathematical methods in the applied sciences. Volume 43:Number 7(2020)
• Page Start: 4036
• Page End: 4049
• Publication Date: 2020-01-23
• Subjects: dusty gas flow -- magnetogasdynamics -- Riemann problem; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.6172
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : 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.