Large eddy simulation of turbulent shallow water flows using multi‐relaxation‐time lattice Boltzmann model

Abstract

SUMMARY In this paper, the standard Smagorinsky's algorithm is embedded into the multiple relaxation time (MRT) lattice Boltzmann model (LBM) for large eddy simulation (LES) of turbulent shallow water flows (MRT‐LABSWE TM ). The model is based on the two‐dimensional nonlinear shallow water equations, giving the depth‐averaged features. It is verified by applying the model in three typical cases in engineering with turbulence: (i) the flow around a square cylinder, (ii) plane cavity flow, and (iii) flows in a junction of 90°. The results obtained by the MRT‐LABSWE TM are compared with BGK‐LABSWE TM results and experimental data. The objectives of this study are to validate the MRT‐LABSWE TM in a turbulence simulation and perform a comparative analysis between the results of BGK‐LABSWE TM and MRT‐LABSWE TM . Copyright © 2012 John Wiley & Sons, Ltd.