On the Riemann problem for 2D compressible Euler equations in three pieces

DOI10.1016/j.na.2008.07.033zbMath1169.35359OpenAlexW2062755190MaRDI QIDQ1015814

Chun Shen, Mei-na Sun

Publication date: 30 April 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.07.033

zbMATH Keywords

shock wavecontact discontinuitycompatibility conditionscompressible Euler equationsrarefaction wavetwo-dimensional Riemann problem

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65)

Related Items (9)

Classification of the Riemann problem for compressible two-dimensional Euler system in non-ideal gas ⋮ Two-dimensional pseudo-steady supersonic isothermal flow around a sharp corner ⋮ Three pieces Riemann problem for 2‐D full Euler system in the Noble–Abel gas ⋮ Two‐dimensional pseudo‐steady supersonic flow around a sharp corner ⋮ Global structure of two dimensional Riemann solutions to the Euler system for isentropic Chaplygin gas ⋮ The two-dimensional Riemann problem for Chaplygin gas dynamics with three constant states ⋮ Unnamed Item ⋮ Interaction of a centered simple wave and a planar rarefaction wave of the two-dimensional Euler equations for pseudo-steady compressible flow ⋮ Axisymmetric solutions of the two-dimensional Euler equations with a two-constant equation of state

Cites Work

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• Systems of conservation laws. Two-dimensional Riemann problems
• On the Two-Dimensional Gas Expansion for Compressible Euler Equations
• The Riemann Problem in Two Space Dimensions for a Single Conservation Law
• Conjecture on the Structure of Solutions of the Riemann Problem for Two-Dimensional Gas Dynamics Systems
• Two-Dimensional Riemann Problem for a Single Conservation Law
• The Scalar Riemann Problem in Two Spatial Dimensions: Piecewise Smoothness of Solutions and Its Breakdown
• Classification of the Riemann Problem for Two-Dimensional Gas Dynamics

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