Notes on RKDG methods for shallow-water equations in canal networks

DOI10.1007/s10915-016-0172-2zbMath1437.76020OpenAlexW2284956023MaRDI QIDQ333214

Benedetto Piccoli, Jing-Mei Qiu, Maya Briani

Publication date: 28 October 2016

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-016-0172-2

zbMATH Keywords

canal networkfluvial conditionRunge-Kutta discontinuous Galerkinshallow-water simulations

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 (6)

Junction Riemann problem for one-dimensional shallow water equations with bottom discontinuities and channels width variations ⋮ Fluvial to torrential phase transition in open canals ⋮ Existence result for the coupling of shallow water and Borda–Carnot equations with Riemann data ⋮ Finite element solution of isothermal gas flow in a network ⋮ A discontinuous Galerkin method for the Aw-Rascle traffic flow model on networks ⋮ Angle dependence in coupling conditions for shallow water equations at channel junctions

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