Abstract

The capability of hybrid lattice Boltzmann–finite difference model in simulation of laminar and turbulent three-dimensional (3D) natural convection was examined. Fluid dynamics was computed by means of the lattice Boltzmann method and the finite difference solver was used for advection-diffusion equation. It was found that both two-dimensional and 3D models reproduced the same thermal fields. The Nusselt numbers were in a good agreement with benchmark data with the Rayleigh number up to ${10}^8.$ Computation speed of developed hybrid model was more than two times higher in comparison with conventional computational fluid dynamics (CFD) vorticity–vector potential formulation.

摘要

检查了混合晶格 Boltzmann-有限差分模型在层流和湍流三维 (3D) 自然对流模拟中的能力。流体动力学通过格子Boltzmann方法计算，有限差分求解器用于对流扩散方程。发现二维和 3D 模型都再现了相同的热场。Nusselt 数与基准数据非常吻合，Rayleigh 数高达${10}^8.$ 与传统的计算流体动力学 (CFD) 涡度-矢量势公式相比，开发的混合模型的计算速度高出两倍以上。