Relaxation-rate formula for the entropic lattice Boltzmann model

doi:10.1088/1674-1056/ab48f0

中国物理B ›› 2019, Vol. 28 ›› Issue (11): 114701-114701.doi: 10.1088/1674-1056/ab48f0

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Relaxation-rate formula for the entropic lattice Boltzmann model

Weifeng Zhao(赵伟峰), Wen-An Yong(雍稳安)

1 Department of Applied Mathematics, University of Science and Technology Beijing, Beijing 100083, China;
2 Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China

收稿日期:2019-06-21 修回日期:2019-08-09 出版日期:2019-11-05 发布日期:2019-11-05
通讯作者: Wen-An Yong E-mail:wayong@tsinghua.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11471185, 11801030, and 11861131004).

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

Received:2019-06-21 Revised:2019-08-09 Online:2019-11-05 Published:2019-11-05
Contact: Wen-An Yong E-mail:wayong@tsinghua.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11471185, 11801030, and 11861131004).

摘要/Abstract

摘要： 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.

关键词: entropic lattice Boltzmann model, relaxation-rate formula

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.

Key words: entropic lattice Boltzmann model, relaxation-rate formula

中图分类号: (Computational methods in fluid dynamics)

47.11.-j

02.70.-c (Computational techniques; simulations)

赵伟峰, 雍稳安. Relaxation-rate formula for the entropic lattice Boltzmann model[J]. 中国物理B, 2019, 28(11): 114701-114701.

Weifeng Zhao(赵伟峰), Wen-An Yong(雍稳安). Relaxation-rate formula for the entropic lattice Boltzmann model[J]. Chin. Phys. B, 2019, 28(11): 114701-114701.

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Relaxation-rate formula for the entropic lattice Boltzmann model

Relaxation-rate formula for the entropic lattice Boltzmann model

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