A Second Order Consistent MAC Scheme for the Shallow Water Equations on Non Uniform Grids

DOI10.1007/978-3-030-43651-3_9zbMath1454.65087OpenAlexW3034278573MaRDI QIDQ5117430

Youssouf Nasseri, Thierry Gallouet, Jean-Claude Latché, Raphaèle Herbin

Publication date: 25 August 2020

Published in: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-43651-3_9

zbMATH Keywords

shallow waterstaggered gridfinite volumesHeun scheme

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Uses Software

• CALIF3S

Cites Work

• Semi-implicit staggered mesh scheme for the multi-layer shallow water system
• On the weak consistency of finite volumes schemes for conservation laws on general meshes
• An Explicit Staggered Finite Volume Scheme for the Shallow Water Equations
• Consistent segregated staggered schemes with explicit steps for the isentropic and full Euler equations

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