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Two-dimensional Multiple-Relaxation-Time Lattice Boltzmann model for compressible and incompressible flows |
Feng Chen1( ), Ai-Guo Xu2(), Guang-Cai Zhang2, Yong-Long Wang3 |
| 1. School of Aeronautics, Shan Dong Jiaotong University, Jinan 250357, China; 2. National Key Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, P. O. Box 8009-26, Beijing 100088, China; 3. Institute of Condensed Matter Physics, School of Science, Linyi University, Linyi 276005, China |
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Abstract In the paper we extend the Multiple-Relaxation-Time (MRT) Lattice Boltzmann (LB) model proposed in [Europhys. Lett., 2010, 90: 54003] 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. A 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 the physical analysis.
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| Keywords
lattice Boltzmann method
multiple-relaxation-time
flux limiter technique
Prandtl numbers effect
non-equilibrium characteristic
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Corresponding Author(s):
Chen Feng,Email:shanshiwycf@163.com; Xu Ai-Guo,Email:Xu Aiguo@iapcm.ac.cn
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Issue Date: 01 April 2014
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