Two-dimensional MRT LB model for compressible and incompressible flows

• DOI: 10.1007/s11467-013-0368-y
• Publication Date: 2013-08-31T01:46:04Z
• Authors: Feng Chen; Ai-Guo Xu; Guang-Cai Zhang; Yong-Long Wang
• Keywords: 0103 physical sciences; Fluid Dynamics (physics.flu-dyn); Soft Condensed Matter (cond-mat.soft); FOS: Physical sciences; Physics - Fluid Dynamics; Condensed Matter - Soft Condensed Matter; 01 natural sciences

In the paper we extend the Multiple-Relaxation-Time (MRT) Lattice Boltzmann (LB) model proposed in [Europhys. Lett. \textbf{90}, 54003 (2010)] so that it is suitable also for incompressible flows. To decrease the artificial oscillations, the convection term is discretized by the flux limiter scheme with splitting technique. New model is validated by some well-known benchmark tests, including Riemann problem and Couette flow, and satisfying agreements are obtained between the simulation results and analytical ones. In order to show the merit of LB model over traditional methods, the non-equilibrium characteristics of system are solved. The simulation results are consistent with physical analysis.