摘要
采用格子Boltzmann方法对较大Rayleigh数范围下的二维Rayleigh-Benard对流进行了模拟研究。引入能量分布函数,利用该能量分布函数与粒子速度分布函数耦合来求解一个热流场,能量分布函数与粒子速度分布函数和Boltzmann方程构成了一个新的双分布格子Boltzmann模型。在考虑密度随温度变化的情况下,进行数值模拟,得到了Rayleigh-Benard对流速度、温度随时间的变化规律、系统的流线和等温线分布及平均Nusselt数与Rayleigh数的之间的关系,与相关文献数据进行了对比,模拟结果非常吻合,证明了改进的双分布格子Bo-ltzmann模型的有效性。
In this paper,the lattice Boltzmann method is developed for the simulation of Rayleigh-Benard Convection in a large scope of Rayleigh Number.Energy distribution function is introduced to solve thermal flow field coupled with particle velocity distribution function,energy distribution function,particle velocity distribution function and Boltzmann equations compose a new double distribution lattice Boltzmann model.The new model is used for the simulation of Rayleigh-Benard convection by considering the fluid density variation with the temperature,the velocity,temperature variation with time,streamline,temperature distribution and average Nusselt number are established.The numerical results are found to be in agreement with the previous analytical solutions and experiments,showing the effectiveness of the improvement model.
出处
《力学季刊》
CSCD
北大核心
2010年第2期172-178,共7页
Chinese Quarterly of Mechanics
