Turbulence Simulation via the Lattice-Boltzmann Method on Hierarchically Refined Meshes

In the present work the application of hierarchical grid refinement for the Lattice-Boltzmann Method (LBM) to simulate turbulent flows has been investigated. A transformation and interpolation scheme has been developed based on a volumetric approach, independent of a specific collision model and therefore, generally applicable to all variants of the LBM. Besides a short review of the LBM the developed scheme is presented. Furthermore, the validity of the method is demonstrated by solutions for Poiseuille, cavity, and turbulent channel flow