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Water 2016, 8(5), 212; doi:10.3390/w8050212

Bed Evolution under Rapidly Varying Flows by a New Method for Wave Speed Estimation

Department of Civil and Environmental Engineering, Hanyang University, 222 Wangsimni-ro, Seongdong-gu, Seoul 04763, Korea
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Academic Editor: Jeffrey McDonnell
Received: 9 April 2016 / Revised: 8 May 2016 / Accepted: 16 May 2016 / Published: 20 May 2016
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Abstract

This paper proposes a sediment-transport model based on coupled Saint-Venant and Exner equations. A finite volume method of Godunov type with predictor-corrector steps is used to solve a set of coupled equations. An efficient combination of approximate Riemann solvers is proposed to compute fluxes associated with sediment-laden flow. In addition, a new method is proposed for computing the water depth and velocity values along the shear wave. This method ensures smooth solutions, even for flows with high discontinuities, and on domains with highly distorted grids. The numerical model is tested for channel aggradation on a sloping bottom, dam-break cases at flume-scale and reach-scale with flat bottom configurations and varying downstream water depths. The proposed model is tested for predicting the position of hydraulic jump, wave front propagation, and for predicting magnitude of bed erosion. The comparison between results based on the proposed scheme and analytical, experimental, and published numerical results shows good agreement. Sensitivity analysis shows that the model is computationally efficient and virtually independent of mesh refinement. View Full-Text
Keywords: sediment transport process; numerical modeling; Saint Venant-Exner equations; finite volume method; dam-break sediment transport process; numerical modeling; Saint Venant-Exner equations; finite volume method; dam-break
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Rehman, K.; Cho, Y.-S. Bed Evolution under Rapidly Varying Flows by a New Method for Wave Speed Estimation. Water 2016, 8, 212.

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