Limiting strategies for polynomial reconstructions in the finite volume approximation of the linear advection equation

DOI10.1016/j.apnum.2003.12.007zbMath1053.65064OpenAlexW2048179354MaRDI QIDQ598489

Enrico Bertolazzi, Gianmarco Manzini

Publication date: 6 August 2004

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2003.12.007

zbMATH Keywords

limitersnumerical examplesadvection equationcell-centered semi-discrete finite volume methodnon-oscillatory reconstructions

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Initial value problems for first-order hyperbolic systems (35L45)

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Uses Software

• P2MESH

Cites Work

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• High resolution schemes for hyperbolic conservation laws
• Uniformly high order accurate essentially non-oscillatory schemes. III
• The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case
• Multidimensional slope limiters for MUSCL-type finite volume schemes on unstructured grids
• Efficient implementation of weighted ENO schemes
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
• On Families of Pointwise Optimal Finite Volume ENO Approximations
• A finite volume scheme for two‐dimensional chemically reactive hypersonic flow
• Algorithm 817: P2MESH
• A triangle-based unstructured finite volume method for chemically reactive hypersonic flows