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Lattice Boltzmann modeling and simulation of compressible flows

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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 recent years. Main contents include (i) Single-Relaxation-Time (SRT) LB model supplemented 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 the third belongs to simulation or application. The SRT-LB model supplemented by 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. It significantly extends the range of LB applications. The cost is longer computational time. The developed SRT-LB and MRT-LB are complementary from the sides of convenience and applicability.

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Authors and Affiliations

  1. National Key Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, P. O. Box 8009-26, Beijing, 100088, China

    Ai-Guo Xu, Guang-Cai Zhang & Xi-Jun Yu

  2. North China Institute of Aerospace Engineering, Langfang, 065000, China

    Yan-Biao Gan

  3. School of Science, Linyi University, Linyi, 276005, China

    Feng Chen

Authors
  1. Ai-Guo Xu
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  2. Guang-Cai Zhang
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  3. Yan-Biao Gan
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  4. Feng Chen
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  5. Xi-Jun Yu
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Correspondence to Ai-Guo Xu.

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Xu, AG., Zhang, GC., Gan, YB. et al. Lattice Boltzmann modeling and simulation of compressible flows. Front. Phys. 7, 582–600 (2012). https://doi.org/10.1007/s11467-012-0269-5

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  • DOI: https://doi.org/10.1007/s11467-012-0269-5

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