Stable and accurate hybrid finite volume methods based on pure convexity arguments for hyperbolic systems of conservation law.

DOI10.1016/j.jcp.2003.07.028zbMath1039.35010OpenAlexW2058546710MaRDI QIDQ1419830

Florian De Vuyst

Publication date: 26 January 2004

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2003.07.028

zbMATH Keywords

entropy dissipationderivative-free methodnonlinear hyperbolic systemsdissipation by convexityslope-free methodupwind-free method

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Theoretical approximation in context of PDEs (35A35) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (3)

Efficient algorithms and implementations of entropy-based moment closures for rarefied gases ⋮ Melt-blowing of viscoelastic jets in turbulent airflows: stochastic modeling and simulation ⋮ Large time step roe scheme for a common 1D two-fluid model

Uses Software

• HLLE
• CATHARE
• SHASTA

Cites Work

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