Sharif University of Technology Scientia Iranica 1026-3098 27 2 2020 04 01 Lattice Boltzmann solution of advection- dominated mass transport problem: A comparison 625 638 20514 10.24200/sci.2018.5616.1376 EN A.A. Hekmatzadeh Department of Civil and Environmental Engineering, Shiraz University of Technology, Shiraz, P.O. Box 71555-313, Iran H. Keshavarzi Department of Civil and Environmental Engineering, Shiraz University of Technology, Shiraz, P.O. Box 71555-313, Iran N. Talebbeydokhti - Department of Civil and Environmental Engineering, Shiraz University, Shiraz, P.O. Box 7134851156, Iran - Environmental Research and Sustainable Development Center, Shiraz University, Shiraz, Iran 0000-0002-9322-2416 A. Torabi Haghighi Water, Energy, and Environmental Engineering, Research Unit, University of Oulu, Finland, P.O. Box 4300, FI-90014 Journal Article 2017 11 20 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. https://scientiairanica.sharif.edu/article_20514_03b4e7dd037670916020e5724e6dc6ab.pdf