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

Authors

  • Haifei Liu,

    1. Key Laboratory of Water and Sediment Sciences of the Ministry of Education, School of Environment, Beijing Normal University, Beijing, China
    Search for more papers by this author
  • Min Li,

    1. Key Laboratory of Water and Sediment Sciences of the Ministry of Education, School of Environment, Beijing Normal University, Beijing, China
    Search for more papers by this author
  • Anping Shu

    Corresponding author
    • Key Laboratory of Water and Sediment Sciences of the Ministry of Education, School of Environment, Beijing Normal University, Beijing, China
    Search for more papers by this author

Anping Shu, School of Environment, Beijing Normal University, 19 Xinjiekou Wai Street, Beijing 100875, China.

E-mail: shuap@bnu.edu.cn

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-LABSWETM). 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-LABSWETM are compared with BGK-LABSWETM results and experimental data. The objectives of this study are to validate the MRT-LABSWETM in a turbulence simulation and perform a comparative analysis between the results of BGK-LABSWETM and MRT-LABSWETM. Copyright © 2012 John Wiley & Sons, Ltd.

Ancillary