Application of the GRP scheme to open channel flow equations

DOI10.1016/J.JCP.2006.07.008zbMath1216.76039OpenAlexW2006080538MaRDI QIDQ870606

N. E. Zubov

Publication date: 13 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2006.07.008

zbMATH Keywords

hyperbolic conservation lawsshallow wateropen channelsecond-order schemehydraulic jumpgeneralized Riemann problem (GRP)quasi-1D 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) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (6)

Regularized shallow water equations for numerical simulation of flows with a moving shoreline ⋮ Normalized shallow water equations ⋮ A Godunov-type scheme for modelling 1D channel flow with varying width and topography ⋮ Regularized shallow water equations and a new method of numerical simulation of the open channel flows ⋮ Improvements of semi-implicit schemes for hyperbolic balance laws applied on open channel flow equations ⋮ A new numerical treatment of moving wet/dry fronts in dam-break flows

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