On the optimization of flux limiter schemes for hyperbolic conservation laws

DOI10.1002/num.21736zbMath1268.65110OpenAlexW2161342851MaRDI QIDQ4929261

Dominik Dietrich, Michael Breuß

Publication date: 13 June 2013

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.21736

zbMATH Keywords

finite difference methodnumerical examplesBurgers equationhyperbolic conservation lawsshocksflux limiter methodBuchley-Leverett equation

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) KdV equations (Korteweg-de Vries equations) (35Q53) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (2)

Numerical Simulation of Hyperbolic Conservation Laws Using High Resolution Schemes with the Indulgence of Fuzzy Logic ⋮ An improved flux limiter using fuzzy modifiers for hyperbolic conservation laws

Cites Work

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• On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
• Monotone Difference Approximations for Scalar Conservation Laws
• On finite-difference approximations and entropy conditions for shocks
• Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems
• Finite Volume Methods for Hyperbolic Problems
• Analysis and Numerics for Conservation Laws

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