Development and verification of a finite volume model for hydraulics over multi-layered erodible beds

Rowan, T. and Seaid, M. (2016) Development and verification of a finite volume model for hydraulics over multi-layered erodible beds. In: ICSE 2016 (8th International Conference on Scour and Erosion), 12-15 September 2016, Oxford, UK.

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Abstract

The accuracy and efficiency of a class of finite volume methods are investigated for numerical solution of morphodynamic problems in multi-layered beds. The governing equations consist of two components, namely an hydraulic part described by the shallow water equations and a sediment part described by the transport and suspended sediments equations. To allow exchange between layers in the bed we propose an equation of balance laws for the bed elevation. As a numerical solver we consider a modified Roe method in the finite volume framework. A well balanced discretization is also used for the treatment of the source terms. The method is well-balanced, non-oscillatory and suitable for both near- and far-bed simulations in sediment transport. The proposed model is verified for a dam-break problem over erodible multi-layered bed and the obtained results demonstrate it abilities to resolve the vertical features in multi-layered sediment transport problems.

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