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

• Published in: International journal for numerical methods in fluids Vol. 70; no. 12; pp. 1573 - 1589
• Main Authors: Liu, Haifei, Li, Min, Shu, Anping
• Format: Journal Article
• Language: English
• Published: Chichester, UK John Wiley & Sons, Ltd 30.12.2012; Wiley; Wiley Subscription Services, Inc
• Subjects: Computational methods in fluid dynamics; Exact sciences and technology; Fluid dynamics; Fundamental areas of phenomenology (including applications); LABSWE; large eddy simulation; lattice Boltzmann method; multi-relaxation-time; Physics; shallow water equations; Turbulence simulation and modeling; Turbulent flows, convection, and heat transfer; Boltzmann equation; Turbulent flow; Pipe flow; Computational fluid dynamics; Digital simulation; Cavity flow; Relaxation time; multi-relaxation-time; Large eddy simulation; Lattice model; Vorticity; LABSWE; shallow water equations; lattice Boltzmann method; Modelling; Turbulence structure; Shallow-water equations
• ISSN: 0271-2091; 1097-0363
• DOI: 10.1002/fld.3643

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.