Hybrid Lattice Boltzmann Method–Finite Difference Method Model for Sediment Transport and Riverbed Deformation

• Published in: River research and applications Vol. 31; no. 4; pp. 447 - 456
• Main Authors: Liu, H, Ding, Y, Li, M, Lin, P, Yu, M. H, Shu, A. P
• Format: Journal Article
• Language: English
• Published: Bognor Regis John Wiley & Sons 01.05.2015; Blackwell Publishing Ltd; Wiley Subscription Services, Inc
• Subjects: Advection-diffusion equation; Deformation; equations; Finite difference method; lattice Boltzmann method; Lattices; Mathematical analysis; Mathematical models; riverbed deformation; Sediment transport; Sediments; shallow water flow; stream channels; suspended sediment; Transportation; water flow
• ISSN: 1535-1459; 1535-1467
• DOI: 10.1002/rra.2735

In this study, a two‐dimensional hybrid numerical model for sediment transport based on lattice Boltzmann method and finite difference method is presented. The governing equations for water flow and suspended sediment transport are the shallow water equations and the advection–diffusion equations, respectively. Sediment load is also involved, so that riverbed deformation is numerically simulated. The model is verified by testing transportation of bank‐slump sediment in a sharp bended channel with the comparison to the results of well‐accepted finite volume method, illustrating the effectiveness of the proposed hybrid model. Copyright © 2014 John Wiley & Sons, Ltd.