Rahmati - phD student , Isfahan university of Technology Department of Mechanical Engineering , Isfahan
Ashrafizadeh - Assistant professor, Isfahan University of Technology , Department of Mechanical Engineering ,Isfahan , Iran

In this article, compressible Multi-Relaxation – Time (MRT) Lattice Boltzmann and cpmpressible Single- Relaxation – Time (SRT) lattice Boltzmann methods are used for 3D fluid flow simulations. Both D3Q15 and D3Q19 mpdels are used to evaluate their performance regarding their effects on the stability of the solutions. To compare the performance of these models, several benchmark problems are solved and the result is compared with those of existing LBE models and / or CFD simulations. It is shown that the MRT-LBE method using the D3Q19 model has the highest stability for fluid flow simulation among other models investigated in the present study.

LBGK method, Single-Relaxation-Time, Multiple-Relaxation-Time, D3Q15, D3Q19