The Riemann Problem for Chaplygin Gas Flow in a Duct with Discontinuous Cross-Section

Liancheng Dang; Wancheng Sheng

doi:10.1007/s11401-020-0215-8

Chinese Annals of Mathematics, Series B ›› 2020, Vol. 41 ›› Issue (4) : 531 -546. DOI: 10.1007/s11401-020-0215-8

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The Riemann Problem for Chaplygin Gas Flow in a Duct with Discontinuous Cross-Section

Liancheng Dang ¹
, Wancheng Sheng ¹^,^b

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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 problem / Delta wave / Stationary wave

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Liancheng Dang,Wancheng Sheng. The Riemann Problem for Chaplygin Gas Flow in a Duct with Discontinuous Cross-Section. Chinese Annals of Mathematics, Series B, 2020, 41(4): 531-546 DOI:10.1007/s11401-020-0215-8