A kinetic scheme for the one-dimensional open channel flow equations with applications on networks

DOI10.1007/s10092-012-0066-0zbMath1277.76054OpenAlexW2087250696MaRDI QIDQ385443

Arne Roggensack

Publication date: 2 December 2013

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-012-0066-0

zbMATH Keywords

networksSaint-Venant equationskinetic schemeopen channel flow

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) First-order nonlinear hyperbolic equations (35L60) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (1)

Angle dependence in coupling conditions for shallow water equations at channel junctions

Cites Work

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• On $2\times2$ Conservation Laws at a Junction
• Central-Upwind Schemes for the Saint-Venant System
• On the Modelling and Stabilization of Flows in Networks of Open Canals
• A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows

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