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

Liangqi Zhang, Shiliang Yang, Zhong Zeng, Jie Chen, Lingquan Wang, and Jia Wei Chew
Phys. Rev. E 95, 043312 – Published 28 April 2017

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.

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  • Received 6 January 2017
  • Revised 13 March 2017

DOI:https://doi.org/10.1103/PhysRevE.95.043312

©2017 American Physical Society

Physics Subject Headings (PhySH)

Fluid Dynamics

Authors & Affiliations

Liangqi Zhang1, Shiliang Yang1, Zhong Zeng2,3, Jie Chen3, Lingquan Wang2, and Jia Wei Chew1,4,*

  • 1School of Chemical and Biomedical Engineering, Nanyang Technological University, Singapore 637459, Singapore
  • 2Department of Engineering Mechanics, College of Aerospace Engineering, Chongqing University, Chongqing 400044, People's Republic of China
  • 3State Key Laboratory of Coal Mine Disaster Dynamics and Control, Chongqing University, Chongqing 400044, People's Republic of China
  • 4Singapore Membrane Technology Center, Nanyang Environment and Water Research Institute, Nanyang Technological University, Singapore 637141, Singapore

  • *Corresponding author: JChew@ntu.edu.sg

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Vol. 95, Iss. 4 — April 2017

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