An exact Riemann solver and a Godunov scheme for simulating highly transient mixed flows

DOI10.1016/j.cam.2010.09.026zbMath1350.76038OpenAlexW1983273622MaRDI QIDQ629451

F. Kerger, Pierre Archambeau, Sébastien Erpicum, Michel Pirotton, Benjamin J. Dewals

Publication date: 9 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.cam.2010.09.026

zbMATH Keywords

hydraulicsfinite volume methodSaint-Venant equationswater hammertransient flownegative preissmann slot

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (6)

Optimizing Intermittent Water Supply in Urban Pipe Distribution Networks ⋮ Unsteady mixed flows in non uniform closed water pipes: a full kinetic approach ⋮ 1D unified mathematical model for environmental flow applied to steady aerated mixed flows ⋮ Exact Riemann solver for a nonlinear hyperbolic system of equations modeling a compressible two-phase flow in pipes ⋮ New Godunov-type method for simulation of weakly compressible pipeline flows with allowance for elastic deformation of the walls ⋮ A splitting method adapted to the simulation of mixed flows in pipes with a compressible two-layer model

Cites Work

• On postshock oscillations due to shock capturing schemes in unsteady flows
• A kinetic formulation for a model coupling free surface and pressurised flows in closed pipes
• A finite volume scheme for a model coupling free surface and pressurised flows in pipes
• Finite Volume Methods for Hyperbolic Problems

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