@ARTICLE{10.21494/ISTE.OP.2023.1004, TITLE={MRT-LBM and RANS approach for simulation of flow in twodimensional semi-circular cavity}, AUTHOR={Ali HADDACH , Hassan SMAOUI , Bouchaib RADI, }, JOURNAL={Uncertainties and Reliability of Multiphysical Systems}, VOLUME={7}, NUMBER={Issue 2}, YEAR={2023}, URL={http://www.openscience.fr/MRT-LBM-and-RANS-approach-for-simulation-of-flow-in-twodimensional-semi}, DOI={10.21494/ISTE.OP.2023.1004}, ISSN={2514-569X}, ABSTRACT={The main objective of this paper is to study the performance of a methodology based on the multiple relaxation time Lattice Boltzmann Method (MRT-LBM) to solve the two-equation turbulence model k - ϵ, and accurately treat incompressible flow at high Reynolds numbers (Re) in regions with curved corners and boundaries. To achieve this objective, we opted for wall-driven flow in a semicircular cavity. On the basis of the numerical results obtained and presented in this article, the model shows its ability to capture the formation of primary, secondary and tertiary vortices as the Reynolds number Re increases, and this presents a good agreement with the literature.}}