A High Order Central DG method of the Two-Layer Shallow Water Equations

DOI10.4208/cicp.OA-2019-0155zbMath1473.65187OpenAlexW3081701421MaRDI QIDQ5162348

Haiyun Dong, Weizhi Xian, Yongping Cheng, Maojun Li

Publication date: 2 November 2021

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/cicp.oa-2019-0155

zbMATH Keywords

two-layer shallow water equationscentral DG methodpositivity-preserving and well-balancedstill-water solution

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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A Well-Balanced Positivity-Preserving Quasi-Lagrange Moving Mesh DG Method for the Shallow Water Equations ⋮ On Energy Stable Runge-Kutta Methods for the Water Wave Equation and Its Simplified Non-Local Hyperbolic Model ⋮ An arbitrary high order well-balanced ADER-DG numerical scheme for the multilayer shallow-water model with variable density

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