Lattice Boltzmann simulations of the transient shallow water flows |
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| Authors: | Haifei Liu Jian Guo Zhou Richard Burrows |
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| Institution: | 1. School of Environment, Beijing Normal University, 19 Xinjiekou Wai Street, Beijing 100875, PR China;2. Department of Engineering, University of Liverpool, Brownlow Hill, Liverpool L69 3GQ, UK |
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| Abstract: | A two-dimensional lattice Boltzmann model (LBM) is presented for transient shallow water flows. The model is based on the shallow water equations coupled with the large eddy simulation model. In order to obtain accurate results efficiently, a multi-block lattice scheme is applied at the area where a local finer grid is needed for strong change in physical variables. The model is verified by applying to five cases with transient processes: (a) a tidal wave over steps; (b) a perturbation over a submerged hump; (c) partial dam break flow; (d) circular dam break flow; (e) interaction between a dam break surge and four square cylinders. The objectives of this study are to validate the two-dimensional LBM in transient flow simulation and provide the detailed transient processes in shallow water flows. |
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| Keywords: | Transient flow Lattice Boltzmann method Large eddy simulation Multi-block grid Shallow water equations LABSWE |
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