Progress of discrete Boltzmann study on multiphase complex flows

XU Aiguo; CHEN Jie; SONG Jiahui; CHEN Dawei; CHEN Zhihua

doi:10.7638/kqdlxxb-2021.0021

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Progress of discrete Boltzmann study on multiphase complex flows

更新时间：2026-05-28

- Progress of discrete Boltzmann study on multiphase complex flows
- Vol. 39, Issue 3, Pages: 138-169(2021)
- 作者机构：
  
  1. 北京应用物理与计算数学研究所,北京,100088
  2. 北京大学应用物理与技术研究中心和高能量密度物理数值模拟教育部重点实验室,北京,100871
  3. 北京理工大学爆炸科学与技术国家重点实验室,北京,100081
  4. 南京理工大学瞬态物理国家重点实验室,南京,210094
  5. 北京理工大学宇航学院,北京,100081
- 作者简介：
- 基金信息：
- DOI：10.7638/kqdlxxb-2021.0021
  CLC： O359;O411.3
- Published：2021
- 稿件说明：
移动端阅览
许爱国, 陈杰, 宋家辉, 等. 多相流系统的离散玻尔兹曼研究进展[J]. 空气动力学学报, 2021, 39(3): 138−169.

XU Aiguo, CHEN Jie, SONG Jiahui, et al. Progress of discrete Boltzmann study on multiphase complex flows[J]. 2021, 39(3): 138-169.
许爱国, 陈杰, 宋家辉, 等. 多相流系统的离散玻尔兹曼研究进展[J]. 空气动力学学报, 2021, 39(3): 138−169. DOI： 10.7638/kqdlxxb-2021.0021

XU Aiguo, CHEN Jie, SONG Jiahui, et al. Progress of discrete Boltzmann study on multiphase complex flows[J]. 2021, 39(3): 138-169. DOI： 10.7638/kqdlxxb-2021.0021.

摘要

针对多相复杂流体系统模拟研究，简要介绍从格子气模型到离散玻尔兹曼方法的发展历程。从统计物理学基本原理出发，通过粗粒化建模思路，给出玻尔兹曼方程；分析Chapman-Enskog多尺度展开方法所蕴含的测量逐步细化的物理图像，给出离散玻尔兹曼建模的基本原则和主要步骤。简要介绍离散玻尔兹曼在相分离、燃烧、流体不稳定性等系统中的应用。对于多相复杂流体系统的动理学建模，技术关键是分子间作用力和化学反应贡献的引入。不同颜色的示踪粒子的引入，使得在单流体理论框架下即可实现混合过程中物质粒子来源的确定；示踪粒子在其速度相空间的分布所形成的结构蕴含丰富的流场信息，为复杂流场研究张开一个全新的视角。在多介质情形，离散玻尔兹曼建模与动理学宏观建模的对应关系是一对多。随着系统非平衡程度加深，相对于动理学宏观建模与模拟思路，离散玻尔兹曼建模与模拟的复杂度上升速度较慢。作为系统行为粗粒化描述的一种物理模型构建方法，离散玻尔兹曼根据研究需求，选取一个视角，研究系统的一组动理学性质，因而要求描述这组性质的动理学矩在模型简化过程中保值；是动理学直接建模方法的一种，为连续介质建模失效或物理功能不足、而分子动力学方法因适用尺度受限而无能为力的介尺度情形提供了一条方便、有效的研究途径。

Abstract

The development of lattice gas model to discrete Boltzmann method is briefly introduced for modeling multiphase complex fluid systems. Based on the basic principles of statistical physics

the Boltzmann equation is given through the idea of coarse-grained modeling. The physical images of progressively refined measurements contained in the Chapman-Enskog multi-scale expansion method are analyzed

and the basic principles and main steps of Discrete Boltzmann Modeling (DBM) are given. The applications of discrete Boltzmann in phase separation

combustion and hydrodynamic instability systems are briefly reviewed. For the kinetic modeling of multiphase complex fluid systems

the key techniques are the introduction of intermolecular forces and the contribution of chemical reactions. The introduction of tracer particles of different colors makes it possible to determine the source of material particles in the mixing process under the framework of single-fluid theory. The structure formed by the distribution of tracer particles in their velocity space contains rich flow field information

which opens a new perspective for the study of complex flow field. In the case of multi-media

the correspondence between discrete Boltzmann modeling and Kinetic Macro Modeling (KMM) is one-to-several

where KMM means that to derive the macroscopic model equations from kinetic theory. As the degree of non-equilibrium of the system deepens

the complexity of discrete Boltzmann modeling and simulation increases more slowly than that of KMM and simulation. As a coarse-grained physical modeling method

discrete Boltzmann selects a perspective to study a set of kinetic properties of the system according to research requirements

so it is required that the kinetic moments describing this set of properties maintain their values in the process of model simplification. It provides a convenient and effective way to investigate the mesoscale situations where continuum modeling fails or physical functions are insufficient and molecular dynamics method is unable to do so due to the limited applicable scale.

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