Exploring the Applicability of the Lattice-Boltzmann Method for Two-Dimensional Turbulence Simulation

The Lattice-Boltzmann method is a mesoscopic approach for solving hydrodynamic problems involving both laminar and turbulent fluids. Although the suitability for the former cases is supported by a myriad of studies, turbulent flows always give rise to additional challenges that need to be addressed properly. In this paper, we estimate the accuracy of the simulation results obtained via a custom implementation of a Lattice-Boltzmann solver for a two-dimensional turbulent flow. To this end, a two-dimensional flow field filled with randomly located rigid disks was simulated, and the von Karman vortex street generated after the wake of such obstacles was studied. To ensure reproducibility, the implementation underlying these results is provided as supplementary material.