Numerical viscosity and the entropy condition

DOI10.1002/cpa.3160320605zbMath0405.76021OpenAlexW2130581271MaRDI QIDQ4191751

Andrew J. Majda, Stanley J. Osher

Publication date: 1979

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160320605

zbMATH Keywords

Finite Difference ApproximationsEntropy ConditionHyperbolic Conversation LawsLax-Wendroff Difference SchemeNumerical Viscosity

Mathematics Subject Classification ID

Incompressible viscous fluids (76D99) Hyperbolic conservation laws (35L65) Finite difference methods for boundary value problems involving PDEs (65N06) Software, source code, etc. for problems pertaining to fluid mechanics (76-04)

Related Items (14)

Monotone Difference Approximations for Scalar Conservation Laws ⋮ Stable and Entropy Satisfying Approximations for Transonic Flow Calculations ⋮ The method of fractional steps for conservation laws ⋮ Convergence of difference schemes with high resolution for conservation laws ⋮ Convergence of Second-Order Schemes for Isentropic Gas Dynamics ⋮ On a class of implicit and explicit schemes of Van-Leer type for scalar conservation laws ⋮ Discrete shock profiles for systems of conservation laws ⋮ A finite volume scheme for two‐dimensional chemically reactive hypersonic flow ⋮ Existence and uniqueness of BV solutions for a conservation law with \(\sigma\)-finite Borel measures as initial conditions ⋮ A possible counterexample to well posedness of entropy solutions and to Godunov scheme convergence ⋮ Current progress and prospects in numerical techniques for weather prediction models ⋮ Sur une perturbation singuliere d'operateurs differentiels elliptique-hyperbolique ⋮ On the Accuracy of Upwind and Symmetric TVD Schemes in Simulating Low Mach Number Flow ⋮ Existence and uniqueness for a quasilinear hyperbolic equation with \(\sigma\)-finite Borel measures as initial conditions

Cites Work

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