Two-dimensional interpolation-supplemented and Taylor-series expansion-based lattice Boltzmann method and its application

摘要

Two-dimensional interpolation-supplemented and Taylor-series expansion-based lattice Boltzmann method (ITLBM) is proposed to simulate flows in the non-uniform grids. The proposed method is based on the standard lattice Boltzmann method, interpolation-supplemented and Taylor-series expansion. The final formulation can be used on any mesh structure and lattice Boltzmann model. Numerical test of a two-dimensional channel flow around a square cylinder has been studied. The computational efficient and recirculation length at Re = 1, 15 are obtained. Comparing the results from the ITLBM with those from the standard LBM, it has been concluded that the proposed method has good prospects in the hydrody-namic and aerodynamic engineering applications.