The Riemann Problem for Chaplygin Gas Flow in a Duct with Discontinuous Cross-Section
Liancheng Dang , Wancheng Sheng
Chinese Annals of Mathematics, Series B ›› 2020, Vol. 41 ›› Issue (4) : 531 -546.
The Riemann Problem for Chaplygin Gas Flow in a Duct with Discontinuous Cross-Section
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.
Duct flow / Chaplygin gas equations / Nonconservative / Riemann problem / Delta wave / Stationary wave
| [1] |
|
| [2] |
|
| [3] |
|
| [4] |
|
| [5] |
|
| [6] |
|
| [7] |
|
| [8] |
|
| [9] |
|
| [10] |
|
| [11] |
Lax, P. D., Shock waves and entropy, Contributions to Functional Analysis, Zarantonello, E. A. (ed.), Academic Press, New York, 1971, 603–634. |
| [12] |
LeFloch, P. G., Shock Waves for Nonlinear Hyperbolic Systems in Nonconservative Form, Institute for Mathematics and its Application, Univ. of Minnesota, 593, preprint, 1989. |
| [13] |
|
| [14] |
|
| [15] |
|
| [16] |
|
| [17] |
Sheng, W. C. and Zhang, T., The Riemann problem for transportation equations in gas dynamics, Mem. Amer. Math. Soc., 137 (654), 1999, viii+77pp. |
| [18] |
|
| [19] |
|
/
| 〈 |
|
〉 |