Recent advances of Lattice Boltzmann techniques on unstructured grids

Further research on both theoretical and practical aspects of a previously defined finite-volume formulation to integrate the Lattice Boltzmann equation (LBE) on unstructured grids is presented. Moreover, additional explicit schemes for time discretisation are proposed. The method is tested on an impulsively started channel flow with the aim of exactly locating solid boundaries. Cavity flow simulations are used to measure the inaccuracies due to compressibility, grid and time discretisation effects. Finally, the proposed method has been tested against a laminar flow over a backward facing step in order to assess the effectiveness of open outlet boundary treatment.