基于格子Boltzmann方法的自由能密度模型

doi:10.16088/j.issn.1001-6600.2023080803

摘要/Abstract

摘要： 基于格子Boltzmann方法的多相流模型具有相界面自动演化、无需边界积分等优势,在模拟复杂多相流系统中获得广泛的研究和应用。本文引入自由能密度计算分子间的相互作用力,提出一种满足热力学一致性和伽利略不变性的多相流模型。使用该模型预测气液两相共存密度的结果与理论值吻合得很好,误差值为-0.01~0.01,并且在低温度下优于改进的伪势模型。同时该模型也可以模拟较大密度比的气液系统,液相与气相的密度比可达10⁷以上。通过两相分离和液滴撞击液膜等一系列数值模拟,验证了该模型符合伽利略不变性。该模型物理清晰、易于实施,能够结合不同状态方程模拟多相流系统,具有较好的实用性和应用前景。

关键词: 格子Boltzmann方法, 多相流, 自由能模型, 自由能密度, 大密度比

Abstract: The multiphase flow model based on the lattice Boltzmann method has the advantages of automatic evolution of the phase interface and no boundary integration. It has been widely studied and applied in the simulation of complex multiphase fluid systems. In this paper, a multiphase flow model satisfying thermodynamic consistency and Galilean invariance is proposed by introducing the free energy density to calculate the interaction force between molecules. The results of using this model to predict the liquid-gas two-phase coexistence densities are in good agreement with theoretical values. At low temperatures, they are better than the improved pseudopotential model. At the same time, the model can also be used for the simulation of multi-phase flow systems with large density ratios. The model's compliance with Galilean invariance is verified by a series of numerical simulations such as speckle map and droplet impact on the liquid film. The model is physically clear and easy to implement, then, it can simulate multiphase flow systems with different equations of state, which has a better potential for practicality and application.

Key words: lattice Boltzmann method, multiphase flow, free energy model, free energy density, large density ratio

中图分类号: O359

李若桐, 钟兴国, 刘起霖, 闻炳海. 基于格子Boltzmann方法的自由能密度模型[J]. 广西师范大学学报（自然科学版）, 2024, 42(4): 90-99.

LI Ruotong, ZHONG Xingguo, LIU Qilin, WEN Binghai. Free-Energy-Density Model Based on Lattice Boltzmann Method[J]. Journal of Guangxi Normal University(Natural Science Edition), 2024, 42(4): 90-99.

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