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
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