Criteria for nonuniqueness of Riemann solutions to compressible duct flows

DOI10.1002/ZAMM.201100176zbMath1277.76091OpenAlexW2058196125MaRDI QIDQ2863157

Ee Han, Maren Hantke, Gerald Warnecke

Publication date: 21 November 2013

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201100176

zbMATH Keywords

Riemann problemnonuniquenessduct flowsLaxisymmetric Euler systemM curves

Mathematics Subject Classification ID

Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Basic methods in fluid mechanics (76M99) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Cites Work

• Unsteady compressible flow in ducts with varying cross-section: comparison between the nonconservative Euler system and the axisymmetric flow model
• An adaptive GRP scheme for compressible fluid flows
• A direct Eulerian GRP scheme for compressible fluid flows
• First- and second-order finite volume methods for the one-dimensional nonconservative Euler system
• The Riemann problem for a class of resonant hyperbolic systems of balance laws
• Two-phase shock-tube problems and numerical methods of solution
• The entropy rate admissibility criterion for solutions of hyperbolic conservation laws
• The Riemann problem for fluid flows in a nozzle with discontinuous cross-section
• The Riemann Problem for a Nonisentropic Fluid in a Nozzle with Discontinuous Cross-Sectional Area
• An Upwind Second-Order Scheme for Compressible Duct Flows
• A Riemann problem in gas dynamics with bifurcation
• Nonlinear resonance for quasilinear hyperbolic equation
• EXACT RIEMANN SOLUTIONS TO COMPRESSIBLE EULER EQUATIONS IN DUCTS WITH DISCONTINUOUS CROSS-SECTION

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