Comment on ``A positivity preserving and well-balanced DG scheme using finite volume subcells in almost dry regions

DOI10.1016/J.AMC.2019.03.069zbMath1428.76122OpenAlexW2946426291MaRDI QIDQ2279437

Qinghe Zhang, Longxiang Li

Publication date: 12 December 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2019.03.069

zbMATH Keywords

shallow waterdiscontinuous Galerkinpositivity preservation

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 volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Cites Work

• Positivity-preserving well-balanced discontinuous Galerkin methods for the shallow water equations on unstructured triangular meshes
• A positivity preserving and well-balanced DG scheme using finite volume subcells in almost dry regions
• A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system

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