Lattice Boltzmann modeling and simulation of compressible flows |
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Authors: | Ai-Guo Xu Guang-Cai Zhang Yan-Biao Gan Feng Chen Xi-Jun Yu |
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Affiliation: | 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 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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Keywords: | lattice Boltzmann modeling compressible flows shock waves hydrodynamic instability |
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