A Discontinuous Galerkin Method for Non-hydrostatic Shallow Water Flows

DOI10.1007/978-3-319-57394-6_27zbMath1365.76158OpenAlexW2620508125MaRDI QIDQ5271126

Jörn Behrens, Anja Jeschke, Stefan Vater

Publication date: 4 July 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-57394-6_27

zbMATH Keywords

shallow water equationsdiscontinuous Galerkin methodnon-hydrostatic

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Computational methods for problems pertaining to geophysics (86-08) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) PDEs in connection with geophysics (35Q86)

Uses Software

• HE-E1GODF

Cites Work

• Unnamed Item
• Hybridizable discontinuous Galerkin projection methods for Navier-Stokes and Boussinesq equations
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• Shallow-water flow solver with non-hydrostatic pressure: 2D vertical plane problems
• An accurate and efficient finite-difference algorithm for non-hydrostatic free-surface flow with application to wave propagation
• Discontinuous Galerkin methods
• A semi-implicit finite element model for non-hydrostatic (dispersive) surface waves

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