Behavior of Finite Volume Schemes for Hyperbolic Conservation Laws on Adaptive Redistributed Spatial Grids

DOI10.1137/050632853zbMath1213.35300OpenAlexW2044373928MaRDI QIDQ3593040

Christos Arvanitis, A. I. Delis

Publication date: 24 September 2007

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/050632853

zbMATH Keywords

conservation lawsfinite volume methodadaptive grid redistributionconservation reconstruction

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (9)

Entropy dissipation of moving mesh adaptation ⋮ A new run-up algorithm based on local high-order analytic expansions ⋮ Dispersive Shallow Water Wave Modelling. Part II: Numerical Simulation on a Globally Flat Space ⋮ Adaptive mesh reconstruction for hyperbolic conservation laws with total variation bound ⋮ A Computational Model for Simulation of Shallow Water Waves by Elastic Deformations in the Topography ⋮ Three-points interfacial quadrature for geometrical source terms on nonuniform grids ⋮ Remarks on the consistency of upwind source at interface schemes on nonuniform grids ⋮ ENTROPY CONSERVATIVE SCHEMES AND ADAPTIVE MESH SELECTION FOR HYPERBOLIC CONSERVATION LAWS ⋮ Adaptive mesh refinement for hyperbolic systems based on third-order compact WENO reconstruction

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