Discontinuous/continuous Galerkin methods for coupling the primitive and wave continuity equations of shallow water.

DOI10.1016/j.cma.2003.07.004zbMath1075.76569OpenAlexW2121326990MaRDI QIDQ1430652

Jennifer Proft, Clint N. Dawson

Publication date: 27 May 2004

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2003.07.004

zbMATH Keywords

Galerkin finite element methodDiscontinuous Galerkin methodShallow water equationsCoupled method

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (11)

A stable space-time FE method for the shallow water equations ⋮ A multiscale discontinuous Galerkin method with the computational structure of a continuous Galerkin method ⋮ A stabilized mixed discontinuous Galerkin method for Darcy flow ⋮ Hybrid coupling of CG and HDG discretizations based on Nitsche's method ⋮ A space-time hybridizable discontinuous Galerkin method for linear free-surface waves ⋮ Coupling of continuous and hybridizable discontinuous Galerkin methods: application to conjugate heat transfer problem ⋮ Discontinuous Galerkin method for linear free-surface gravity waves ⋮ A hybrid scheme for solving a multi-class traffic flow model with complex wave breaking ⋮ An explicit hybridized discontinuous Galerkin method for Serre-Green-Naghdi wave model ⋮ An a priori error estimate for the local discontinuous <scp>G</scp>alerkin method applied to two‐dimensional shallow water and morphodynamic flow ⋮ A comparison of the explicit and implicit hybridizable discontinuous Galerkin methods for nonlinear shallow water equations

Uses Software

• ADCIRC

Cites Work

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