Journal of Guangxi Normal University(Natural Science Edition) ›› 2024, Vol. 42 ›› Issue (4): 90-99.doi: 10.16088/j.issn.1001-6600.2023080803

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Free-Energy-Density Model Based on Lattice Boltzmann Method

LI Ruotong1,2, ZHONG Xingguo1,2, LIU Qilin1,2, WEN Binghai1,2*   

  1. 1. Key Laboratory of Education Blockchain and Intelligent Technology, Ministry of Education (Guangxi Normal University), Guilin Guangxi 541004, China;
    2. Guangxi Key Laboratory of Multi-Source InformationMining and Security (Guangxi Normal University), Guilin Guangxi 541004, China
  • Received:2023-08-08 Revised:2023-10-04 Online:2024-07-25 Published:2024-09-05

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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

CLC Number:  O359
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