ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
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Relaxation-rate formula for the entropic lattice Boltzmann model |
Weifeng Zhao(赵伟峰)1, Wen-An Yong(雍稳安)2 |
1 Department of Applied Mathematics, University of Science and Technology Beijing, Beijing 100083, China; 2 Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China |
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Abstract A relaxation-rate formula is presented for the entropic lattice Boltzmann model (ELBM) – a discrete kinetic theory for hydrodynamics. The simple formula not only guarantees the discrete time H-theorem but also gives full consideration to the consistency with hydrodynamics. The relaxation rate calculated with the formula effectively characterizes the drastic changes of the flow fields. By using this formula, the computational cost of the ELBM is significantly reduced and the model now can be efficiently used for a broad range of applications including high Reynolds number flows.
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Received: 21 June 2019
Revised: 09 August 2019
Accepted manuscript online:
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PACS:
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47.11.-j
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(Computational methods in fluid dynamics)
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02.70.-c
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(Computational techniques; simulations)
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Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11471185, 11801030, and 11861131004). |
Corresponding Authors:
Wen-An Yong
E-mail: wayong@tsinghua.edu.cn
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Cite this article:
Weifeng Zhao(赵伟峰), Wen-An Yong(雍稳安) Relaxation-rate formula for the entropic lattice Boltzmann model 2019 Chin. Phys. B 28 114701
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