Formulations for Numerically Approximating Hyperbolic Systems Governing Sediment Transport

Authors:
Justin Hudson;Peter K. Sweby
Affiliations:
Department of Mathematics, University of Reading, Whiteknights, P.O. Box 220, Reading, Berkshire, RG6 6AX, United Kingdom. juh@onetel.net.uk;Department of Mathematics, University of Reading, Whiteknights, P.O. Box 220, Reading, Berkshire, RG6 6AX, United Kingdom. P.K.Sweby@reading.ac.uk
Venue:
Journal of Scientific Computing
Year:
2003

Citing 3
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Generalized Roe schemes for 1D two-phase, free-surface flows over a mobile bed

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An Exner-based coupled model for two-dimensional transient flow over erodible bed

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Brief paper: Lyapunov exponential stability of 1-D linear hyperbolic systems of balance laws

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Original article: Implicit time advancing combined with two finite-volume methods in the simulation of morphodynamic flows

Mathematics and Computers in Simulation

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Abstract

This paper investigates the accurate numerical solution of the equations governing bed-load sediment transport. Two approaches: a steady and an unsteady approach are discussed and five different formulations within these frameworks are derived. A flux-limited version of Roe's scheme is used with the different formulations on a channel test problem and the results compared.