Analysis of Hierarchical Grid Refinement Techniques for the Lattice Boltzmann Method by Numerical Experiments

Over the last few decades, several grid coupling techniques for hierarchically refined Cartesian grids have been developed to provide possibility of varying mesh resolution in lattice Boltzmann methods. The proposed schemes can be roughly categorized based on individual transition interface layout they are adapted to, namely cell-vertex or cell-centered approaches, as well a combination both. It stands reason that specific properties each these grid-coupling algorithms influence stability and accuracy numerical scheme. Consequently, this naturally leads curiosity regarding extent which is case. present study compares three established their ranges by conducting series experiments square duct flow, including various collision models. Furthermore hybrid-recursive regularized model, originally introduced with co-located coarse fine nodes, has combined