Validation studies of 2D turbulent flow over a backward facing step using a MRT k-epsilon LBM scheme

This paper presents the numerical simulation of 2D turbulent flow over a backward facing step by Lattice-Boltzmann Method (LBM). There are several numerical methods to solve CFD problems. Among them LBM is quite a new approach to solve CFD problems. It deals with microscopic parameters and macroscopic characteristics can be captured by multiscale analysis. In this paper a detailed analysis is presented to demonstrate the capabilities of this method. Moreover this method is extended to allow incorporation of traditional turbulent model. Implementation of a two equation k−e model without wall function is presented. Validation of Lattice-Boltzmann method is extended to backward facing step for turbulent case. The results are validated with the results done in other works. In turbulent case different total viscosity at different locations leads to different relaxation time in LBM. Therefore a multi relaxation time (MRT) model is used in this work.

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