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| The Riemann Problem for Chaplygin Gas Flow in a Duct with Discontinuous Cross-Section |
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Citation： |
Liancheng DANG,Wancheng SHENG.The Riemann Problem for Chaplygin Gas Flow in a Duct with Discontinuous Cross-Section[J].Chinese Annals of Mathematics B,2020,41(4):531~546 |
| Page view： 684
Net amount： 567 |
Authors： |
Liancheng DANG; Wancheng SHENG |
Foundation： |
This work was supported by the National Natural Science Foundation of China (Nos. 11371240,11771274). |
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| Abstract： |
The fluid flows in a variable cross-section duct are nonconservative because of the source term. Recently, the Riemann problem and the interactions of the elementary waves for the compressible isentropic gas in a variable cross-section duct were studied. In this paper, the Riemann problem for Chaplygin gas flow in a duct with discontinuous cross-section is studied. The elementary waves include rarefaction waves, shock waves, delta waves and stationary waves. |
Keywords： |
Duct flow, Chaplygin gas equations, Nonconservative, Riemann prob lem, Delta wave, Stationary wave |
Classification： |
17B40, 17B50 |
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