A finite element/volume method model of the depth‐averaged horizontally 2D shallow water equations

DOI10.1002/fld.3882zbMath1455.76100OpenAlexW1842419043MaRDI QIDQ4964983

Hidekazu Yoshioka, Koichi Unami, Masayuki Fujihara

Publication date: 5 March 2021

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2433/198579

zbMATH Keywords

finite element/volume method2D SWEsapproximate matrix inversion methodfully explicit temporal integration

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) 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) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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SUPG formulation augmented with YZβ shock‐capturing for computing shallow‐water equations ⋮ Well-balanced central schemes for two-dimensional systems of shallow water equations with wet and dry states ⋮ A note on the application of the Guermond-Pasquetti mass lumping correction technique for convection-diffusion problems

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