Conservativity and weak consistency of a class of staggered finite volume methods for the Euler equations

DOI10.1090/mcom/3575zbMath1464.65097arXiv1910.03998OpenAlexW3114989919MaRDI QIDQ5856739

Nicolas Therme, Sebastian Minjeaud, Jean-Claude Latché, Raphaèle Herbin

Publication date: 29 March 2021

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.03998

zbMATH Keywords

consistencyEuler equationsconservativitystaggered finite volumes

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Euler equations (35Q31)

Related Items

Lax-Wendroff consistency of finite volume schemes for systems of non linear conservation laws: extension to staggered schemes, Staggered Schemes for Compressible Flow: A General Construction, Convergence of the MAC scheme for the compressible stationary Navier-Stokes equations, Error estimates for the implicit MAC scheme for the compressible Navier-Stokes equations, Consistent internal energy based schemes for the compressible Euler equations

Uses Software

• CALIF3S

Cites Work

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