Derivation of lattice Boltzmann equation via analytical characteristic integral

doi:10.1088/1674-1056/28/1/014701

中国物理B ›› 2019, Vol. 28 ›› Issue (1): 14701-014701.doi: 10.1088/1674-1056/28/1/014701

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

Derivation of lattice Boltzmann equation via analytical characteristic integral

Huanfeng Ye(叶欢锋), Bo Kuang(匡波), Yanhua Yang(杨燕华)

1 School of Nuclear Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;
2 National Energy Key Laboratory of Nuclear Power Software, Beijing 102209, China

收稿日期:2018-06-20 修回日期:2018-09-03 出版日期:2019-01-05 发布日期:2019-01-05
通讯作者: Huanfeng Ye E-mail:huanfye@163.com
基金资助:
Project supported by the National Science and Technology Major Project, China (Grant No. 2017ZX06002002).

Derivation of lattice Boltzmann equation via analytical characteristic integral

Huanfeng Ye(叶欢锋)¹, Bo Kuang(匡波)¹, Yanhua Yang(杨燕华)^1,2

1 School of Nuclear Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;
2 National Energy Key Laboratory of Nuclear Power Software, Beijing 102209, China

Received:2018-06-20 Revised:2018-09-03 Online:2019-01-05 Published:2019-01-05
Contact: Huanfeng Ye E-mail:huanfye@163.com
Supported by:
Project supported by the National Science and Technology Major Project, China (Grant No. 2017ZX06002002).

摘要/Abstract

摘要：

A lattice Boltzmann (LB) theory, the analytical characteristic integral (ACI) LB theory, is proposed in this paper. ACI LB theory takes the Bhatnagar-Gross-Krook (BGK)-Boltzmann equation as the exact kinetic equation behind Navier-Stokes continuum and momentum equations and constructs an LB equation by rigorously integrating the BGK-Boltzmann equation along characteristics. It is a general theory, supporting most existing LB equations including the standard lattice BGK (LBGK) equation inherited from lattice-gas automata, whose theoretical foundation had been questioned. ACI LB theory also indicates that the characteristic parameter of an LB equation is collision number, depicting the particle-interaction intensity in the time span of the LB equation, instead of the traditionally assumed relaxation time, and the over-relaxation time problem is merely a manifestation of the temporal evolution of equilibrium distribution along characteristics under high collision number, irrelevant to particle kinetics. In ACI LB theory, the temporal evolution of equilibrium distribution along characteristics is the determinant of LB method accuracy and we numerically prove this.

关键词: lattice Boltzmann (LB) equation, analytical characteristic integral, characteristic parameter

Abstract:

Key words: lattice Boltzmann (LB) equation, analytical characteristic integral, characteristic parameter

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

47.11.-j

02.70.-c (Computational techniques; simulations)

叶欢锋, 匡波, 杨燕华. Derivation of lattice Boltzmann equation via analytical characteristic integral[J]. 中国物理B, 2019, 28(1): 14701-014701.

Huanfeng Ye(叶欢锋), Bo Kuang(匡波), Yanhua Yang(杨燕华). Derivation of lattice Boltzmann equation via analytical characteristic integral[J]. Chin. Phys. B, 2019, 28(1): 14701-014701.

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Derivation of lattice Boltzmann equation via analytical characteristic integral

Derivation of lattice Boltzmann equation via analytical characteristic integral

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