University of Oulu

Hekmatzadeh, A., Keshavarzi, H., Talebbeydokhti, N., Torabi Haghighi, A. (2020). Lattice Boltzmann solution of advection-dominated mass transport problem: A comparison. Scientia Iranica, 27(2), 625-638. doi: 10.24200/sci.2018.5616.1376

Lattice Boltzmann solution of advection-dominated mass transport problem : a comparison

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Author: Hekmatzadeh, Ali1; Keshavarzi, Hatef1; Talebbeydokhti, Nasser2;
Organizations: 1Department of civil and environmental engineering, Shiraz University of Technology, Shiraz, Iran
2Civil and Environmental Engineering Department, Environmental Research and Sustainable Development Center, Shiraz University, Shiraz, Iran
3Water resources and environmental engineering research group, University of Oulu, Finland
Format: article
Version: published version
Access: open
Online Access: PDF Full Text (PDF, 1.2 MB)
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Language: English
Published: Sharif University of Technology, 2019
Publish Date: 2020-01-31


This article addresses the abilities and limitations of the Lattice Boltzmann (LB) method in solving advection-dominated mass transport problems. Several schemes of the LB method, including D2Q4, D2Q5, and D2Q9, were assessed in the simulation of two-dimensional advection-dispersion equations. The concept of Single Relaxation Time (SRT) and Multiple Relaxation Time (MRT) in addition to linear and quadratic Equilibrium Distribution Functions (EDF) were taken into account. The results of LB models were compared to the well-known Finite Difference (FD) solutions, including Explicit Finite Difference (EFD) and Crank-Nicolson (CN) methods. All LB models are more accurate than the aforementioned FD schemes. The results also indicate the high potency of D2Q5 SRT and D2Q9 SRT in describing advection-controlled mass transfer problems. The numerical artificial oscillations are observed when the Grid Peclet Number (GPN) is greater than 10, 25, 20, 25, and 10 regarding D2Q4 SRT, D2Q5 SRT, D2Q5 MRT, D2Q9 SRT and D2Q9 MRT, respectively, while the corresponding GPN values obtained for the EFD and CN methods were 2 and 5, respectively. Finally, a coupled system of groundwater and solute transport equations were solved satisfactorily using several LB models. Considering computational time, all LB models are much faster than CN method.

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Series: Scientia Iranica
ISSN: 1026-3098
ISSN-E: 2345-3605
ISSN-L: 1026-3098
Volume: 27
Issue: 2
Pages: 625 - 638
DOI: 10.24200/sci.2018.5616.1376
Type of Publication: A1 Journal article – refereed
Field of Science: 218 Environmental engineering
1172 Environmental sciences
212 Civil and construction engineering
215 Chemical engineering
Funding: The authors would like to thank Shiraz University of Technology for supporting this research.
Copyright information: © Scientia Iranica. Published in this repository with the kind permission of the publisher.