Effect of viscosity on stability and accuracy of the two-component lattice Boltzmann method with a multiple-relaxation-time collision operator investigated by the acoustic attenuation model

doi:10.1088/1674-1056/ac2b93

中国物理B ›› 2022, Vol. 31 ›› Issue (3): 34701-034701.doi: 10.1088/1674-1056/ac2b93

Effect of viscosity on stability and accuracy of the two-component lattice Boltzmann method with a multiple-relaxation-time collision operator investigated by the acoustic attenuation model

Le Bai(柏乐)^1,2, Ming-Lei Shan(单鸣雷)^1,2, Yu Yang(杨雨)¹, Na-Na Su(苏娜娜)², Jia-Wen Qian(钱佳文)², and Qing-Bang Han(韩庆邦)^1,2,†

1 Jiangsu Key Laboratory of Power Transmission and Distribution Equipment Technology, Hohai University, Changzhou 213022, China;
2 College of Internet of Things Engineering, Hohai University, Changzhou 213022, China

收稿日期:2021-07-30 修回日期:2021-08-30 接受日期:2021-09-30 出版日期:2022-02-22 发布日期:2022-02-14
通讯作者: Qing-Bang Han E-mail:20111841@hhu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12174085, 11874140, and 11574072), the State Key Laboratory of Acoustics, Chinese Academy of Sciences (Grant No. SKLA201913), and the Postgraduate Research and Practice Innovation Program of Jiangsu Province, China (Grant No. KYCX21_0478).

Effect of viscosity on stability and accuracy of the two-component lattice Boltzmann method with a multiple-relaxation-time collision operator investigated by the acoustic attenuation model

Le Bai(柏乐)^1,2, Ming-Lei Shan(单鸣雷)^1,2, Yu Yang(杨雨)¹, Na-Na Su(苏娜娜)², Jia-Wen Qian(钱佳文)², and Qing-Bang Han(韩庆邦)^1,2,†

1 Jiangsu Key Laboratory of Power Transmission and Distribution Equipment Technology, Hohai University, Changzhou 213022, China;
2 College of Internet of Things Engineering, Hohai University, Changzhou 213022, China

Received:2021-07-30 Revised:2021-08-30 Accepted:2021-09-30 Online:2022-02-22 Published:2022-02-14
Contact: Qing-Bang Han E-mail:20111841@hhu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12174085, 11874140, and 11574072), the State Key Laboratory of Acoustics, Chinese Academy of Sciences (Grant No. SKLA201913), and the Postgraduate Research and Practice Innovation Program of Jiangsu Province, China (Grant No. KYCX21_0478).

摘要/Abstract

摘要： A two-component lattice Boltzmann method (LBM) with a multiple-relaxation-time (MRT) collision operator is presented to improve the numerical stability of the single relaxation time (SRT) model. The macroscopic and the momentum conservation equations can be retrieved through the Chapman—Enskog (C-E) expansion analysis. The equilibrium moment with the diffusion term is calculated, a diffusion phenomenon is simulated by utilizing the developed model, and the numerical stability is verified. Furthermore, the binary mixture channel model is designed to simulate the sound attenuation phenomenon, and the obtained simulation results are found to be consistent with the analytical solutions. The sound attenuation model is used to study the numerical stability and calculation accuracy of the LBM model. The simulation results show the stability and accuracy of the MRT model and the SRT model under different viscosity conditions. Finally, we study the influence of the error between the macroscopic equation of the MRT model and the standard incompressible Navier—Stokes equation on the calculation accuracy of the model to demonstrate the general applicability of the conclusions drawn by the sound attenuation model in the present study.

关键词: two-component lattice Boltzmann method, acoustic attenuation

Abstract: A two-component lattice Boltzmann method (LBM) with a multiple-relaxation-time (MRT) collision operator is presented to improve the numerical stability of the single relaxation time (SRT) model. The macroscopic and the momentum conservation equations can be retrieved through the Chapman—Enskog (C-E) expansion analysis. The equilibrium moment with the diffusion term is calculated, a diffusion phenomenon is simulated by utilizing the developed model, and the numerical stability is verified. Furthermore, the binary mixture channel model is designed to simulate the sound attenuation phenomenon, and the obtained simulation results are found to be consistent with the analytical solutions. The sound attenuation model is used to study the numerical stability and calculation accuracy of the LBM model. The simulation results show the stability and accuracy of the MRT model and the SRT model under different viscosity conditions. Finally, we study the influence of the error between the macroscopic equation of the MRT model and the standard incompressible Navier—Stokes equation on the calculation accuracy of the model to demonstrate the general applicability of the conclusions drawn by the sound attenuation model in the present study.

Key words: two-component lattice Boltzmann method, acoustic attenuation

中图分类号: (Lattice gas)

47.11.Qr

47.55.Ca (Gas/liquid flows) 47.35.Rs (Sound waves) 47.54.Bd (Theoretical aspects)

Le Bai(柏乐), Ming-Lei Shan(单鸣雷), Yu Yang(杨雨), Na-Na Su(苏娜娜), Jia-Wen Qian(钱佳文), and Qing-Bang Han(韩庆邦). Effect of viscosity on stability and accuracy of the two-component lattice Boltzmann method with a multiple-relaxation-time collision operator investigated by the acoustic attenuation model[J]. 中国物理B, 2022, 31(3): 34701-034701.

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Effect of viscosity on stability and accuracy of the two-component lattice Boltzmann method with a multiple-relaxation-time collision operator investigated by the acoustic attenuation model

Effect of viscosity on stability and accuracy of the two-component lattice Boltzmann method with a multiple-relaxation-time collision operator investigated by the acoustic attenuation model

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