以晶格波茲曼法解決流體問題之研究

A Novel Solution based on the Lattice Boltzmann Method to Fluid Flow Problems

The Lattice Boltzmann Method (LBM) is a modern numerical technique, very efficient, flexible to simulate different flows within complex and varying geometries. Historically, it originated from lattice gas cellular automata, which simulate the dynamics of fluid particles on a microscopic level based on the Boltzmann equation in a discrete phase space using only a small number of velocities adapted to a regular grid in space. During the last two decades, the LBM has been developed as an alternative numerical scheme for solving the incompressible Navier-Stokes equations (NS). Phase separation is an important phenomenon in fluid dynamics, which has many important industrial applications. In this paper, we study Lattice Boltzmann model in two dimensions and nine directions. D2Q9 model used to study the phase separation in fluids flow. The results of simulations show that fluids flow in the cavity and the cylinder, simulation show phase separation of single component multiphase flow can observe bubble information by LBM.