A stable gradient reconstruction for the MUSCL schemes applied to systems of conservation laws

DOI10.1007/s10494-006-9022-xzbMath1125.76049OpenAlexW2075266655MaRDI QIDQ865109

Christophe Berthon

Publication date: 13 February 2007

Published in: Flow, Turbulence and Combustion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10494-006-9022-x

zbMATH Keywords

numerical stabilityCFL restriction

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15)

Uses Software

• HE-E1GODF

Cites Work

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• Robustness of MUSCL schemes for 2D unstructured meshes
• Multidimensional upwind methods for hyperbolic conservation laws
• High resolution schemes for hyperbolic conservation laws
• Triangle based adaptive stencils for the solution of hyperbolic conservation laws
• High resolution staggered mesh approach for nonlinear hyperbolic systems of conservation laws
• Multicomponent flow calculations by a consistent primitive algorithm
• A variant of Van Leer's method for multidimensional systems of conservation laws
• A second order kinetic scheme for gas dynamics on arbitrary grids
• On positivity preserving finite volume schemes for Euler equations
• How to preserve the mass fractions positivity when computing compressible multi-component flows
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• Stability of the MUSCL schemes for the Euler equations

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