Simulation of lid-driven cavity flows by parallel lattice Boltzmann method using multi-relaxation-time scheme

• Published in: International journal for numerical methods in fluids 2004-11, Vol.46 (9), p.921-937
• Main Authors: Wu, J.-S., Shao, Y.-L.
• Format: Article
• Language: English
• Subjects: Computational methods in fluid dynamics; Exact sciences and technology; Fluid dynamics; Fundamental areas of phenomenology (including applications); Laminar flows; Laminar flows in cavities; lattice Boltzmann BGK method; multi-relaxation-time; Physics; single-relaxation-time
• ISSN: 0271-2091; 1097-0363
• DOI: 10.1002/fld.787

Two‐dimensional near‐incompressible steady lid‐driven cavity flows (Re = 100–7,500) are simulated using multi‐relaxation‐time (MRT) model in the parallel lattice Boltzmann BGK Bhatnager–Gross–Krook method (LBGK). Results are compared with those using single‐relaxation‐time (SRT) model in the LBGK method and previous simulation data using Navier–Stokes equations for the same flow conditions. Effects of variation of relaxation parameters in the MRT model, effects of number of the lattice points, improved computational convergence and reduced spatial oscillations of solution near geometrically singular points in the flow field using LBGK method due to MRT model are highlighted in the study. In summary, lattice Boltzmann method using MRT model introduces much less spatial oscillations near geometrical singular points, which is important for the successful simulation of higher Reynolds number flows. Copyright © 2004 John Wiley & Sons, Ltd.