Simulation of natural convection using lattice Boltzmann Method

초록

Recently the lattice Boltzmann equation(LBE) method has been developed as a conputational fluid dynamics(CFD) method. Traditionally, mass and momentum transfer are modeled using the continuum assumption. However, as the Knudsen number Kn increases and the characteristic hydrodynamic length becomes comparable to the mean free path of the gases, the continuum assumption breaks down and the use of kinetic theory is required. In most LVVE models so far, only mass and momentum conservation is implemented. However it is important and sometimes critical to hace the capability of simulating thermal effects simulaneously with the fluid flows. Obviously the temperature distribution in a flow field is of central interest in heat transfer problems. In this paper, we studied the natural convection using the two- dimentional nine velocity lattice Boltzmann method.