LATTICE BOLTZMANN METHOD WITH NON-UNIFORM GRIDS AND A HIGHER-ORDER SPATIAL INTERPOLATION METHOD

Abstract

This paper concerns a Lattice Boltzmann Method (LBM) with non-uniform grids and a higher-order spatial interpolation method, which is applicable to incompressible flows surrounded with complicatedshaped boundaries. In order to preserve numerical accuracy in the non-uniform grids, CIVA method is employed in the interpolation process. The proposed interpolation-supplemented LBM (ISLBM) was applied to a laminar flow and the numerical accuracy was investigated. In addition, the flow in the channel with a side-cavity was numerically predicted with ISLBM. As a result, it was shown that the computational time can be largely reduced with sufficient numerical accuracy by the proposed ISLBM.