The Riemann problem for an isentropic ideal dusty gas flow with a magnetic field |
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| Authors: | Yicheng Pang Jianjun Ge Huawei Yang Min Hu |
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| Institution: | 1. Department of Applied Mathematics, Guizhou University of Finance and 2. Economics, Guiyang, 550025 China;3. College of Big Data Application and 4. Economics, Guizhou University of 5. Finance and Economics, Guiyang, 550025 China |
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| 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. |
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| Keywords: | dusty gas flow magnetogasdynamics Riemann problem |
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