Lax-Wendroff consistency of finite volume schemes for systems of non linear conservation laws: extension to staggered schemes

DOI10.1007/S40324-021-00263-0zbMath1490.65169arXiv2103.09516OpenAlexW3189326683MaRDI QIDQ2150695

Thierry Gallouet, Raphaèle Herbin, Jean-Claude Latché

Publication date: 30 June 2022

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.09516

zbMATH Keywords

consistencyconvectionfinite-volume schemes

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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An asymptotic preserving and energy stable scheme for the barotropic Euler system in the incompressible limit ⋮ Convergence of the fully discrete incremental projection scheme for incompressible flows

Cites Work

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• Simple nonconforming quadrilateral Stokes element
• Finite Volume Methods for Hyperbolic Problems
• Consistent segregated staggered schemes with explicit steps for the isentropic and full Euler equations
• Consistency of finite volume approximations to nonlinear hyperbolic balance laws
• Systems of conservation laws
• Conservativity and weak consistency of a class of staggered finite volume methods for the Euler equations

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