Lattice Boltzmann simulation of natural convection in a square cavity

J. Onishi, Y. Chen, H. Ohashi

研究成果: ジャーナルへの寄稿学術論文査読

25 被引用数 (Scopus)

抄録

In this paper, we describe the development of a lattice Boltzmann scheme for incompressible thermohydrodynamics. Being based on kinetic theory, the scheme simulates macroscopic fluid flows and heat transfers with the use of distribution functions. A systematic derivation of the lattice Boltzmann scheme from the continuous Boltzmann equation is discussed in details. We find that a 5-velocity model can be employed to simulate heat transfer in such a case where the viscous and compressive heating effects are negligible. As a benchmark, numerical simulations of natural convection in a square cavity are carried out. Through the results, the scheme is found to have a second-order convergence rate. In addition, the scheme is verified to be as accurate as conventional methods over a wide range of Rayleigh numbers.

本文言語英語
ページ(範囲)53-62
ページ数10
ジャーナルJSME International Journal, Series B: Fluids and Thermal Engineering
44
1
DOI
出版ステータス出版済み - 2001 2月

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