A Novel Approach of Unit Conversion in the Lattice Boltzmann Method

The lattice Boltzmann method (LBM) is an alternative to the conventional computational fluid dynamic (CFD) methods. It gained popularity due its simplicity in coding and dealing with a complex flow such as multiphase flow. based on kinetic theory, which mesoscopic scale. Hence, applying LBM for macroscopic problems requires proper conversion from physical scale (conventional units) (lattice vice versa. Buckingham π theorem principle of corresponding states are popular methods used data reductions unit processes LBM. Nevertheless, those have some issues, difficulty converting specific quantities, thermo-physical properties. current work uses novel dimensional analysis systematically mapping properties’ units between scales. Moreover, approach has flexibility selecting parameters ensure stability solution. Several benchmark examples evaluate feasibility accuracy proposed approach. In conclusion, showed meso-scale macro-scales versa solid bases rather than ad-hoc