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Frontiers of Physics

ISSN 2095-0462

ISSN 2095-0470(Online)

CN 11-5994/O4

Postal Subscription Code 80-965

2018 Impact Factor: 2.483

Front. Phys.    2012, Vol. 7 Issue (5) : 582-600    https://doi.org/10.1007/s11467-012-0269-5
REVIEW ARTICLE
Lattice Boltzmann modeling and simulation of compressible flows
Ai-Guo Xu1(), Guang-Cai Zhang1, Yan-Biao Gan2, Feng Chen3, Xi-Jun Yu1
1. National Key Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, P. O. Box 8009-26, Beijing 100088, China; 2. North China Institute of Aerospace Engineering, Langfang 065000, China; 3. School of Science, Linyi University, Linyi 276005, China
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Abstract

In this mini-review we summarize the progress of Lattice Boltzmann(LB) modeling and simulating compressible flows in our group in recentyears. Main contents include (i) Single-Relaxation-Time (SRT) LB modelsupplemented by additional viscosity, (ii) Multiple-Relaxation-Time(MRT) LB model, and (iii) LB study on hydrodynamic instabilities.The former two belong to improvements of physical modeling and thethird belongs to simulation or application. The SRT-LB model supplementedby additional viscosity keeps the original framework of Lattice Bhatnagar–Gross–Krook(LBGK). So, it is easier and more convenient for previous SRT-LB users.The MRT-LB is a completely new framework for physical modeling. Itsignificantly extends the range of LB applications. The cost is longercomputational time. The developed SRT-LB and MRT-LB are complementaryfrom the sides of convenience and applicability.

Keywords lattice Boltzmann modeling      compressible flows      shock waves      hydrodynamic instability     
Corresponding Author(s): Xu Ai-Guo,Email:Xu Aiguo@iapcm.ac.cn   
Issue Date: 01 October 2012
 Cite this article:   
Ai-Guo Xu,Guang-Cai Zhang,Yan-Biao Gan, et al. Lattice Boltzmann modeling and simulation of compressible flows[J]. Front. Phys. , 2012, 7(5): 582-600.
 URL:  
https://academic.hep.com.cn/fop/EN/10.1007/s11467-012-0269-5
https://academic.hep.com.cn/fop/EN/Y2012/V7/I5/582
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