Alternative extrapolation-based symmetry boundary implementations for the axisymmetric lattice Boltzmann method

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 postcollis...

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Main Authors: Zhang, Liangqi, Yang, Shiliang, Zeng, Zhong, Chen, Jie, Wang, Lingquan, Chew, Jia Wei
Other Authors: School of Chemical and Biomedical Engineering
Format: Article
Language:English
Published: 2018
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Online Access:https://hdl.handle.net/10356/87395
http://hdl.handle.net/10220/44430
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-873952020-09-26T22:01:33Z Alternative extrapolation-based symmetry boundary implementations for the axisymmetric lattice Boltzmann method Zhang, Liangqi Yang, Shiliang Zeng, Zhong Chen, Jie Wang, Lingquan Chew, Jia Wei School of Chemical and Biomedical Engineering Nanyang Environment and Water Research Institute Boundary Nodes Boundary Schemes 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. NRF (Natl Research Foundation, S’pore) Published version 2018-02-09T05:25:20Z 2019-12-06T16:40:57Z 2018-02-09T05:25:20Z 2019-12-06T16:40:57Z 2017 Journal Article 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-. 2470-0045 https://hdl.handle.net/10356/87395 http://hdl.handle.net/10220/44430 10.1103/PhysRevE.95.043312 en Physical Review E © 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. 13 p. application/pdf
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
topic Boundary Nodes
Boundary Schemes
spellingShingle Boundary Nodes
Boundary Schemes
Zhang, Liangqi
Yang, Shiliang
Zeng, Zhong
Chen, Jie
Wang, Lingquan
Chew, Jia Wei
Alternative extrapolation-based symmetry boundary implementations for the axisymmetric lattice Boltzmann method
description 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.
author2 School of Chemical and Biomedical Engineering
author_facet School of Chemical and Biomedical Engineering
Zhang, Liangqi
Yang, Shiliang
Zeng, Zhong
Chen, Jie
Wang, Lingquan
Chew, Jia Wei
format Article
author Zhang, Liangqi
Yang, Shiliang
Zeng, Zhong
Chen, Jie
Wang, Lingquan
Chew, Jia Wei
author_sort Zhang, Liangqi
title Alternative extrapolation-based symmetry boundary implementations for the axisymmetric lattice Boltzmann method
title_short Alternative extrapolation-based symmetry boundary implementations for the axisymmetric lattice Boltzmann method
title_full Alternative extrapolation-based symmetry boundary implementations for the axisymmetric lattice Boltzmann method
title_fullStr Alternative extrapolation-based symmetry boundary implementations for the axisymmetric lattice Boltzmann method
title_full_unstemmed Alternative extrapolation-based symmetry boundary implementations for the axisymmetric lattice Boltzmann method
title_sort alternative extrapolation-based symmetry boundary implementations for the axisymmetric lattice boltzmann method
publishDate 2018
url https://hdl.handle.net/10356/87395
http://hdl.handle.net/10220/44430
_version_ 1681058712986320896