Comparison of Lattice Boltzmann Method and Monte Carlo Method for Modeling Phonon Heat Conduction

摘要

In order to investigate the applicability and performance of the Lattice Boltzmann Method( LBM) and the Monte Carlo Method( MCM) to simulate phonon heat transfer,a problem of phonon heat transfer in square geometry structures of silicon dioxide was taken as an example to compare the calculational results and analyze computational efficiency of the two methods. Moreover,this work analyzed the numerical stability for two methods. The results indicate that the MCM takes much more computation time than the LBM in the same condition. In addition,the results of the two methods have a good agreement in diffusive and diffusive-ballistic domain for investigating the phonon heat transfer. So they can be used to verify each other when the experiments of energy transport in these domains faces difficulty. In ballistic domain,duo to the random error,the temperature distribution curve from MCM is fluctuant.