High order well-balanced central local discontinuous Galerkin-finite element methods for solving the Green-Naghdi model

DOI10.1016/j.amc.2017.07.050zbMath1426.76285OpenAlexW2741711521MaRDI QIDQ1740137

Maojun Li, Haiyun Dong, Yu-ting Jiang

Publication date: 29 April 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.07.050

zbMATH Keywords

finite element methodshallow water wavesGreen-Naghdi equationswell-balanced schemescentral local discontinuous Galerkin methods

Mathematics Subject Classification ID

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

Weighted interior penalty discretization of fully nonlinear and weakly dispersive free surface shallow water flows ⋮ The solution of nonlinear Green-Naghdi equation arising in water sciences via a meshless method which combines moving Kriging interpolation shape functions with the weighted essentially non-oscillatory method ⋮ A High Order Central DG method of the Two-Layer Shallow Water Equations ⋮ A modified central discontinuous Galerkin method with positivity-preserving and well-balanced properties for the one-dimensional nonlinear shallow water equations ⋮ Maximum-principle-satisfying and positivity-preserving high order central DG methods on unstructured overlapping meshes for two-dimensional hyperbolic conservation laws

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