Abstract
In recent years, the Lattice Boltzmann Method (LBM) has been developed as an alternative numerical approach in Computational Fluid Dynamics (CFD). In particular, this method is promising for simulations of multiphase and multi component fluid flow involving complex interfacial dynamics. Unlike the conventional CFD methods based on NS equations, the LBM is based on the mesoscopic particle’s kinetic equation. This method has some advantages such as the simplicity of the algorithm (high efficiency on parallel processing), flexible reproduction of interfaces between phases. The conventional LBM, however, requires regular structured grids. But, for complex flow field, unstructured grid should be used. In this paper, we describe a computational scheme based on two-dimensional unstructured grids from the point of view of Finite Volume Methods (FVM). As examples of tests of this scheme, numerical simulations for two-dimensional Lid-driven cavity flow, and Motions of drops in a shear flow are presented.
