Simulation of fluid flow in a body-fitted grid system using the lattice Boltzmann method

Abstract

The ability of the interpolation supplemented lattice Boltzmann method (ISLBM) diminishes in simulation of fluid flow around complex geometries and it is nearly impossible to use this method in body-filled grid systems. In this paper, a developed version of the interpolation supplemented lattice Boltzmann method is proposed to remove the limitations of the original ISLBM. Combination of the ISLBM and the Joukowski transformation is the basis of the method. In fact, using the Joukowski transformation, the physical domain with a body-fitted grid system is mapped to the computational domain with a uniform Cartesian grid system such that the conventional ISLBM can be easily applied. The results are compared with those of a Navier-Stokes solver and there is good agreement between these two results.