Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/141250
Title: Consistent boundary conditions of the multiple-relaxation-time lattice Boltzmann method for convection–diffusion equations
Authors: Zhang, Liangqi
Yang, Shiliang
Zeng, Zhong
Chew, Jia Wei
Keywords: Engineering::Chemical engineering
Issue Date: 2018
Source: Zhang, L., Yang, S., Zeng, Z., & Chew, J. W. (2018). Consistent boundary conditions of the multiple-relaxation-time lattice Boltzmann method for convection–diffusion equations. Computers and Fluids, 170, 24-40. doi:10.1016/j.compfluid.2018.04.027
Journal: Computers and Fluids
Abstract: In this work, the Dirichlet, Neumann and linear Robin conditions for the convection–diffusion equation (CDE) lattice Boltzmann (LB) method is investigated and a second-order boundary scheme is proposed for the D2Q9 multiple-relaxation-time (MRT) LB model. With the proposed scheme, consistent implementations are developed for the three kinds of macroscopic boundary constraints considered at both straight and curved boundaries. The second-order accuracy of the present boundary scheme is firstly demonstrated by the theoretical derivations and then confirmed by the numerical validations. Notably, the advantages of the present boundary scheme lie in its locality and consistency, i.e., no information from the neighboring fluid nodes is required in the practical treatments, and all three kinds of boundary conditions are directly implemented without degrading the Robin condition to the Dirichlet or Neumann condition.
URI: https://hdl.handle.net/10356/141250
ISSN: 0045-7930
DOI: 10.1016/j.compfluid.2018.04.027
Rights: © 2018 Elsevier Ltd. All rights reserved.
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:SCBE Journal Articles

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