General bounce-back scheme for concentration boundary condition in the lattice-Boltzmann method

Ting Zhang, Baochang Shi, Zhaoli Guo, Zhenhua Chai, and Jianhua Lu
Phys. Rev. E 85, 016701 – Published 3 January 2012; Erratum Phys. Rev. E 88, 029903 (2013)

Abstract

In this paper, a general bounce-back scheme is proposed to implement concentration or thermal boundary conditions of convection-diffusion equation with the lattice Boltzmann method (LBM). Using this scheme, the general concentration boundary conditions, i.e., b1Cwn+b2Cw=b3, can be easily implemented at boundaries with complex geometry structure like that in porous media. The numerical results obtained using the present scheme are in excellent agreement with the analytical solutions of flows with both stationary and moving interfaces. Furthermore, to better understand the halfway bounce-back scheme, an analytical study of the concentration jump is presented. The studies of theoretical analysis and numerical experiments demonstrate that the proposed scheme has second-order accuracy.

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  • Received 15 June 2011

DOI:https://doi.org/10.1103/PhysRevE.85.016701

©2012 American Physical Society

Erratum

Erratum: General bounce-back scheme for concentration boundary condition in the lattice-Boltzmann method [Phys. Rev. E 85, 016701 (2012)]

Ting Zhang, Baochang Shi, Zhaoli Guo, Zhenhua Chai, and Jianhua Lu
Phys. Rev. E 88, 029903 (2013)

Authors & Affiliations

Ting Zhang1, Baochang Shi2,*, Zhaoli Guo1, Zhenhua Chai2, and Jianhua Lu3

  • 1National Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, China
  • 2School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China
  • 3School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, China

  • *sbchust@126.com

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Vol. 85, Iss. 1 — January 2012

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