Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7174506 | International Journal of Non-Linear Mechanics | 2018 | 20 Pages |
Abstract
We concern with the Riemann problem the compressible fluid flow with the generalized Chaplygin gas. With the analysis on the phase plane, we rigorously confirm the occurrence of delta shock wave with Dirac delta function in density. Then the formation mechanism, generalized Rankine-Hugoniot relation and entropy condition for the delta shock wave are clarified. Based on these preparations, five kinds of exact solutions are obtained. Finally, the corresponding numerical results are also presented to illustrate our analysis.
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Authors
Yicheng Pang, Yu Zhang, Yongsong Wen,