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Two-dimensional Multiple-Relaxation-Time Lattice Boltzmann model for compressible and incompressible flows

Frontiers of physics 2014年第2期9卷 246-254页

作者： Feng Chen Ai-Guo Xu Guang-Cai Zhang Yong-Long Wang School of Aeronautics Shan Dong Jiaotong University Jinan 250357 China . .. National Key Laboratory of Computational Physics Institute of Applied Physics and Computational Mathematics P. O. Box 8009-26 Beijing 100088 China Institute of Condensed Matter Physics School of Science Linyi University Linyi 276005 China

In the paper we extend the Multiple-Relaxation-Time （MRT） Lattice Boltzmann （LB） model pro- posed in [Europhys. Lctt., 2010, 90： 54003] so that it is suitable also for incompressible flows. To decrease tile artificial oscillations, the convection term is discretized by the flux linfiter scheme with splitting technique. A new model is validated by some well-known benchmark tests, including Rie- mann problem and Couette flow, and satisfying agreements are obtained between the sinmlation results and *** 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 the physical analysis.

关键词： lattice Boltzmann method multiple-relaxation-time flux limiter technique Prandtlnumbers effect non-equilibrium characteristic

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flux limiter Lattice Boltzmann for Compressible Flows

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Communications in Theoretical Physics 2011年第8期56卷 333-338页

作者：陈峰许爱国张广财李英骏 State Key Laboratory for GeoMechanics and Deep Underground Engineering China University of Mining and Technology(Beijing) National Key Laboratory of Computational Physics Institute of Applied Physics and Computational Mathematics

In this paper, a new flux limiter scheme with the splitting technique is successfully incorporated into a multiple-relaxation-time lattice Boltzmann （LB） model for shacked compressible flows. The proposed flux limiter scheme is efficient in decreasing the artificial oscillations and numerical diffusion around the interface. Due to the kinetic nature, some interface problems being difficult to handle at the macroscopic level can be modeled more naturally through the LB method. Numerical simulations for the Richtmyer-Meshkov instability show that with the new model the computed interfaces are smoother and more consistent with physical analysis. The growth rates of bubble and spike present a satisfying agreement with the theoretical predictions and other numerical simulations.

关键词： lattice Boltzmann method flux limiter technique compressible flows multiple-relaxation-time Richtmyer-Meshkov instability

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