A discontinuous Galerkin method for two-layer shallow water equations

DOI10.1016/j.matcom.2015.04.009OpenAlexW765595899MaRDI QIDQ2228736

Nouh Izem, Mohamed Wakrim, Mohammed Seaid

Publication date: 19 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2015.04.009

zbMATH Keywords

discontinuous Galerkin methodconservation laws with source termstwo-layer shallow water equationsstrait of Gibraltar

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Compressible fluids and gas dynamics (76Nxx) Hyperbolic equations and hyperbolic systems (35Lxx) Incompressible inviscid fluids (76Bxx)

Related Items (8)

A Well-Balanced Runge-Kutta Discontinuous Galerkin Method for Multilayer Shallow Water Equations with Non-Flat Bottom Topography ⋮ A Nonintrusive Reduced-Order Model for Uncertainty Quantification in Numerical Solution of One-Dimensional Free-Surface Water Flows Over Stochastic Beds ⋮ Positivity-preserving nonstaggered central difference schemes solving the two-layer open channel flows ⋮ An entropy stable discontinuous Galerkin method for the two-layer shallow water equations on curvilinear meshes ⋮ Fast and accurate simulations of shallow water equations in large networks ⋮ A High Order Central DG method of the Two-Layer Shallow Water Equations ⋮ On displacement shallow water wave equation and symplectic solution ⋮ An arbitrary high order well-balanced ADER-DG numerical scheme for the multilayer shallow-water model with variable density

Cites Work

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• Total-Variation-Diminishing Time Discretizations
• Finite Volume Methods for Hyperbolic Problems
• A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows

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