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Title: Consistent lattice Boltzmann methods for incompressible axisymmetric flows
Authors: Zhang, Liangqi
Yang, Shiliang
Zeng, Zhong
Yin, Linmao
Zhao, Ya
Chew, Jia Wei
Keywords: lattice Boltzmann
axisymmetric model
Issue Date: 2016
Source: Zhang, L., Yang, S., Zeng, Z., Yin, L., Zhao, Y., & Chew, J. W. (2016). Consistent lattice Boltzmann methods for incompressible axisymmetric flows. Physical Review E, 94(2), 023302-.
Series/Report no.: Physical Review E
Abstract: In this work, consistent lattice Boltzmann (LB) methods for incompressible axisymmetric flows are developed based on two efficient axisymmetric LB models available in the literature. In accord with their respective original models, the proposed axisymmetric models evolve within the framework of the standard LB method and the source terms contain no gradient calculations. Moreover, the incompressibility conditions are realized with the Hermite expansion, thus the compressibility errors arising in the existing models are expected to be reduced by the proposed incompressible models. In addition, an extra relaxation parameter is added to the Bhatnagar-Gross-Krook collision operator to suppress the effect of the ghost variable and thus the numerical stability of the present models is significantly improved. Theoretical analyses, based on the Chapman-Enskog expansion and the equivalent moment system, are performed to derive the macroscopic equations from the LB models and the resulting truncation terms (i.e., the compressibility errors) are investigated. In addition, numerical validations are carried out based on four well-acknowledged benchmark tests and the accuracy and applicability of the proposed incompressible axisymmetric LB models are verified.
ISSN: 2470-0045
DOI: 10.1103/PhysRevE.94.023302
Rights: © 2016 American Physical Society. This paper was published in Physical Review E and is made available as an electronic reprint (preprint) with permission of American Physical Society. The published version is available at: []. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
Fulltext Permission: open
Fulltext Availability: With Fulltext
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