Stabilized Spectral Element Approximation of the Saint Venant System Using the Entropy Viscosity Technique

DOI10.1007/978-3-319-19800-2_36zbMath1421.76039OpenAlexW2300432673MaRDI QIDQ2831227

Bojan Popov, Jean-Luc Guermond, Richard Pasquetti

Publication date: 2 November 2016

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-19800-2_36

zbMATH Keywords

shallow water equationsentropy viscosity methodSaint Venant systemstabilized spectral element approximation

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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Cites Work

• Unnamed Item
• Entropy viscosity method for nonlinear conservation laws
• SWASHES: a compilation of shallow water analytic solutions for hydraulic and environmental studies
• Viscous Regularization of the Euler Equations and Entropy Principles
• Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation

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