Consistent lattice Boltzmann methods for incompressible axisymmetric flows

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...

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Main Authors: Zhang, Liangqi, Yang, Shiliang, Zeng, Zhong, Yin, Linmao, Zhao, Ya, Chew, Jia Wei
Other Authors: School of Chemical and Biomedical Engineering
Format: Article
Language:English
Published: 2016
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Online Access:https://hdl.handle.net/10356/82224
http://hdl.handle.net/10220/41168
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-822242020-09-26T22:01:17Z Consistent lattice Boltzmann methods for incompressible axisymmetric flows Zhang, Liangqi Yang, Shiliang Zeng, Zhong Yin, Linmao Zhao, Ya Chew, Jia Wei School of Chemical and Biomedical Engineering Nanyang Environment and Water Research Institute lattice Boltzmann axisymmetric model 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. NRF (Natl Research Foundation, S’pore) Published version 2016-08-22T05:03:06Z 2019-12-06T14:51:11Z 2016-08-22T05:03:06Z 2019-12-06T14:51:11Z 2016 Journal Article 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-. 2470-0045 https://hdl.handle.net/10356/82224 http://hdl.handle.net/10220/41168 10.1103/PhysRevE.94.023302 en Physical Review E © 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: [http://dx.doi.org/10.1103/PhysRevE.94.023302]. 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. 23 p. application/pdf
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
topic lattice Boltzmann
axisymmetric model
spellingShingle lattice Boltzmann
axisymmetric model
Zhang, Liangqi
Yang, Shiliang
Zeng, Zhong
Yin, Linmao
Zhao, Ya
Chew, Jia Wei
Consistent lattice Boltzmann methods for incompressible axisymmetric flows
description 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.
author2 School of Chemical and Biomedical Engineering
author_facet School of Chemical and Biomedical Engineering
Zhang, Liangqi
Yang, Shiliang
Zeng, Zhong
Yin, Linmao
Zhao, Ya
Chew, Jia Wei
format Article
author Zhang, Liangqi
Yang, Shiliang
Zeng, Zhong
Yin, Linmao
Zhao, Ya
Chew, Jia Wei
author_sort Zhang, Liangqi
title Consistent lattice Boltzmann methods for incompressible axisymmetric flows
title_short Consistent lattice Boltzmann methods for incompressible axisymmetric flows
title_full Consistent lattice Boltzmann methods for incompressible axisymmetric flows
title_fullStr Consistent lattice Boltzmann methods for incompressible axisymmetric flows
title_full_unstemmed Consistent lattice Boltzmann methods for incompressible axisymmetric flows
title_sort consistent lattice boltzmann methods for incompressible axisymmetric flows
publishDate 2016
url https://hdl.handle.net/10356/82224
http://hdl.handle.net/10220/41168
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