Entropy stability and well-balancedness of space-time DG for the shallow water equations with bottom topography

DOI10.3934/nhm.2016.11.145zbMath1431.76032OpenAlexW2404828845MaRDI QIDQ325328

Andreas Hiltebrand, Siddhartha Mishra

Publication date: 18 October 2016

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2016.11.145

zbMATH Keywords

shallow water equationsentropy stabilitybottom topographyspace-time DGwell-balancedness

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) 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)

Related Items

Entropy stable finite volume approximations for ideal magnetohydrodynamics, Well balancing of the SWE schemes for moving-water steady flows, Commutative properties for conservative space-time DG discretizations of optimal control problems involving the viscous Burgers equation

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