Theoretical and numerical aspects of the interfacial coupling: the scalar Riemann problem and an application to multiphase flows

DOI10.3934/nhm.2010.5.507zbMath1262.35164OpenAlexW1999461763MaRDI QIDQ1943822

Christophe Chalons

Publication date: 21 March 2013

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2010.5.507

zbMATH Keywords

discontinuous flux functiondrift flux modelstwo-phase flow models

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Finite volume methods applied to problems in fluid mechanics (76M12) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial-boundary value problems for first-order hyperbolic systems (35L50) Liquid-gas two-phase flows, bubbly flows (76T10) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

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Uses Software

• NEPTUNE