The Lattice Boltzmann Method for Fluid Flows and Its Applications
Journal Title: Gazi Üniversitesi Fen Bilimleri Dergisi Part C: Tasarım ve Teknoloji - Year 2016, Vol 4, Issue 3
Abstract
A numerical method in Computational Fluid Dynamics (CFD), which is called “Lattice Boltzmann Method (LBM)”, is studied in this paper. The main difference between LBM and conventional CFD methods is how they investigate physical phenomena occurring in a flow problem. In Lattice Boltzmann method, flow problems are simulated in a mid-scale, called “mesoscopic”, by using the statistical mechanic techniques to form fictive particle groups. Then, these particle groups are considered to be moving (free streaming) and colliding (collision) where these consecutive behaviors of particle groups represent the fluid flow. In this study, some benchmark CFD problems are modelled and solved by the utilization of LBM with an in-house code generated for this study. It is observed that the Lattice Boltzmann solvers can simulate incompressible fluid flows accurately by taking the “Low Mach Number Approximation” into consideration. In addition, it is found that no reasonable results are achieved if the relaxation parameter is out of the suggested range, which is in between 0,6 and 1.9. Furthermore, it is shown that the theoretical order of convergence of Lattice Boltzmann Method is directly affected by the applied boundary conditions, resulting in the order of convergence between 1 and 2.
Authors and Affiliations
Zekeriya Özcan, Özgür Ekici
Keywords
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