中国物理B ›› 2023, Vol. 32 ›› Issue (9): 94701-094701.doi: 10.1088/1674-1056/acc78d

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Application of shifted lattice model to 3D compressible lattice Boltzmann method

Hao-Yu Huang(黄好雨)1, Ke Jin(金科)1,4, Kai Li(李凯)1,4, and Xiao-Jing Zheng(郑晓静)2,3,†   

  1. 1 School of Aerospace Science and Technology, Xidian University, Xi'an 710071, China;
    2 School of Mechano-Electronic Engineering, Xidian University, Xi'an 710071, China;
    3 Shaanxi Key Laboratory of Space Extreme Detection, Xi'an 710071, China;
    4 Key Laboratory of Equipment Efficiency in Extreme Environment, Ministry of Education, Xi'an 710071, China
  • 收稿日期:2022-12-15 修回日期:2023-02-04 接受日期:2023-03-25 发布日期:2023-08-23
  • 通讯作者: Xiao-Jing Zheng E-mail:xjzheng@xidian.edu.cn
  • 基金资助:
    Project supported by the Youth Program of the National Natural Science Foundation of China (Grant Nos. 11972272, 12072246, and 12202331), the National Key Project, China (Grant No. GJXM92579), and the Natural Science Basic Research Program of Shaanxi Province, China (Program No. 2022JQ-028).

Application of shifted lattice model to 3D compressible lattice Boltzmann method

Hao-Yu Huang(黄好雨)1, Ke Jin(金科)1,4, Kai Li(李凯)1,4, and Xiao-Jing Zheng(郑晓静)2,3,†   

  1. 1 School of Aerospace Science and Technology, Xidian University, Xi'an 710071, China;
    2 School of Mechano-Electronic Engineering, Xidian University, Xi'an 710071, China;
    3 Shaanxi Key Laboratory of Space Extreme Detection, Xi'an 710071, China;
    4 Key Laboratory of Equipment Efficiency in Extreme Environment, Ministry of Education, Xi'an 710071, China
  • Received:2022-12-15 Revised:2023-02-04 Accepted:2023-03-25 Published:2023-08-23
  • Contact: Xiao-Jing Zheng E-mail:xjzheng@xidian.edu.cn
  • Supported by:
    Project supported by the Youth Program of the National Natural Science Foundation of China (Grant Nos. 11972272, 12072246, and 12202331), the National Key Project, China (Grant No. GJXM92579), and the Natural Science Basic Research Program of Shaanxi Province, China (Program No. 2022JQ-028).

摘要: An additional potential energy distribution function is introduced on the basis of previous D3Q25 model, and the equilibrium distribution function of D3Q25 is obtained by spherical function. A novel three-dimensional (3D) shifted lattice model is proposed, therefore a shifted lattice model is introduced into D3Q25. Under the finite volume scheme, several typical compressible calculation examples are used to verify whether the numerical stability of the D3Q25 model can be improved by adding the shifted lattice model. The simulation results show that the numerical stability is indeed improved after adding the shifted lattice model.

关键词: lattice Boltzmann method, shifted lattice model, compressible flow, finite volume method

Abstract: An additional potential energy distribution function is introduced on the basis of previous D3Q25 model, and the equilibrium distribution function of D3Q25 is obtained by spherical function. A novel three-dimensional (3D) shifted lattice model is proposed, therefore a shifted lattice model is introduced into D3Q25. Under the finite volume scheme, several typical compressible calculation examples are used to verify whether the numerical stability of the D3Q25 model can be improved by adding the shifted lattice model. The simulation results show that the numerical stability is indeed improved after adding the shifted lattice model.

Key words: lattice Boltzmann method, shifted lattice model, compressible flow, finite volume method

中图分类号:  (Finite volume methods)

  • 47.11.Df
47.40.-x (Compressible flows; shock waves) 05.20.Dd (Kinetic theory)