Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/87395
Title: Alternative extrapolation-based symmetry boundary implementations for the axisymmetric lattice Boltzmann method
Authors: Zhang, Liangqi
Yang, Shiliang
Zeng, Zhong
Chen, Jie
Wang, Lingquan
Chew, Jia Wei
Keywords: Boundary Nodes
Boundary Schemes
Issue Date: 2017
Source: Zhang, L., Yang, S., Zeng, Z., Chen, J., Wang, L., & Chew, J. W. (2017). Alternative extrapolation-based symmetry boundary implementations for the axisymmetric lattice Boltzmann method. Physical Review E, 95(4), 043312-.
Series/Report no.: Physical Review E
Abstract: In this study, alternative symmetry boundary implementations for the axisymmetric lattice Boltzmann (LB) method are proposed based on the nonequilibrium extrapolation and the direct extrapolation schemes. The proposed boundary schemes are directly implemented on the symmetry axis, and the postcollision distribution function and the macroscopic variables at the boundary nodes are extrapolated from the inner fluid nodes; thereby, the singularities arising at the symmetry axis (r = 0) during the collision and the macroscopic variable calculations are completely avoided. The accuracy of the present schemes is consistent with the well-established axisymmetric LB model. Moreover, in comparison with previous symmetry boundary schemes, the present implementations are slightly more accurate than the symmetry scheme by Guo et al. [Phys. Rev. E 79, 046708 (2009)] and numerically more stable than the specular reflection-based schemes.
URI: https://hdl.handle.net/10356/87395
http://hdl.handle.net/10220/44430
ISSN: 2470-0045
DOI: 10.1103/PhysRevE.95.043312
Rights: © 2017 American Physical Society (APS). This paper was published in Physical Review E and is made available as an electronic reprint (preprint) with permission of American Physical Society (APS). The published version is available at: [http://dx.doi.org/10.1103/PhysRevE.95.043312]. 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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