Title: Inlet and outlet boundary conditions for the Lattice-Boltzmann modelling of shallow water flows

Authors: H. Liu; J.G. Zhou; R. Burrows

Addresses: State Key Laboratory of Water Environment Simulation, School of Environment, Beijing Normal University, 19 Xinjiekou Wai Street, Beijing 100875, China. ' Department of Engineering, University of Liverpool, Liverpool L69 3GQ, UK. ' Department of Engineering, University of Liverpool, Liverpool L69 3GQ, UK

Abstract: In Lattice-Boltzmann modelling of shallow water flows, an approach for a constant discharge Q_in at the inflow and a fixed water depth h^* at the outflow is proposed in this paper. It maintains the prescribed conditions, meanwhile keeps the variables consistent with those outside the flow domain. The effectiveness of the approach is demonstrated by two numerical tests: flows in a straight channel and in a divergent channel.

Keywords: ?ow boundary conditions; Lattice Boltzmann method; shallow water flows; LABSWE; modelling; straight channels; divergent channels.

DOI: 10.1504/PCFD.2012.044850

Progress in Computational Fluid Dynamics, An International Journal, 2012 Vol.12 No.1, pp.11 - 18

Published online: 25 Nov 2014 *

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