Lattice Boltzmann Method for the Simulation of High Reynolds Number Flows

Abstract:

The lattice Boltzmann method (LBM) is considered as an alternative scheme to the standard Navier-Stokes approach. To simulate the high Reynolds number turbulence, several approaches based on LBM have been proposed. Among them, 5 approaches including the direct numerical simulation, dynamic subgrid scale model, inertial range consistent subgrid model, very large eddy simulation and entropic lattice Boltzmann method are discussed in detail. Features including improvements and shortcomings of each approach are presented. Whats more, application prospects of these approaches in high Reynolds number turbulence simulations are pointed out.

• Periodical: Applied Mechanics and Materials (Volumes 444-445)
• Pages: 352-356
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.444-445.352
• Online since: October 2013
• Authors: Qiang Liu, Wei Xie, Liao Yuan Qiu, Xue Shen Xie
• Keywords: Computational Fluid Dynamics (CFD), Lattice Boltzmann Method, Reynolds Number, Simulation, Turbulence, Turbulence Model

References

[1] Y.H. Dong, P. Sagaut, S. Marie, Inertial consistent subgrid model for large-eddy simulation based on the lattice Boltzmann method, Physics of Fluids 20 (2008) 035104.

DOI: 10.1063/1.2842379

[2] P. Lammers, K.N. Beronov, R. Volkert, G. Brenner, F. Durst, Lattice BGK direct numerical simulation of fully developed turbulence in incompressible plane channel flow, Computers & Fluids 35 (2006) 1137-1153.

DOI: 10.1016/j.compfluid.2005.10.002

[3] S. Hou, J. Sterling, S. Chen, G.D. Doolen, A lattice Boltzmann subgrid model for high Reynolds number flows, Fields Institute Communications 6 (1996) 151-166.

DOI: 10.1090/fic/006/12

[4] M. Germano, U. Piomelli, P. Moin, W.H. Cabot, A dynamic subgrid-scale eddy viscosity model, Physics of Fluids 3 (1991) 1760-1765.

DOI: 10.1063/1.857955

[5] Y. Zang, R.L. Street, J.R. Koseff, A dynamic mixed subgrid scale model and its application to turbulent recirculating flows, Physics of Fluids 5 (1993) 3186-3196.

DOI: 10.1063/1.858675

[6] K.N. Premnath, M.J. Pattison, S. Banerjee, Dynamic subgrid scale modeling of turbulent flows using lattice-Boltzmann method, Physica A 388 (2009) 2640-2658.

DOI: 10.1016/j.physa.2009.02.041

[7] J. Meyers, P. Sagaut, On the model coefficients for the standard and the variational multi-scale Smogorisky model, Journal of Fluid Mechanics 569 (2006) 287-319.

DOI: 10.1017/s0022112006002850

[8] P.R. Spalart, Detached-eddy simulation, Annu. Rev. Fluid Mech. 41 (2009) 181-202.

DOI: 10.1146/annurev.fluid.010908.165130

[9] Information on http: /exa. com/core-technology. html.

[10] C.K. Aidun, J.R. Clausen, Lattice-Boltzmann method for complex flows, Annu. Rev. Fluid Mech. 42 (2010) 439-472.

DOI: 10.1146/annurev-fluid-121108-145519

[11] B. Keating, G. Vahala, J. Yepez, M. Soe, L. Vahala, Entropic lattice Boltzmann representations required to recover Navier-Stokes flows, Physical Review E 75 (2007) 036712.

DOI: 10.1103/physreve.75.036712