熵格子Boltzmann方法的重整化群代数湍流模型

重整化群理论所建立的湍流模型能够最大程度地减小模型经验性,因此文章尝试将重整化群代数湍流模型引入到熵格子Boltzmann方法中,建立新型的计算模型以对高雷诺数湍流进行模拟研究。同时为了进行比较研究,还建立了熵格子Boltzmann方法的标准大涡模拟模型。完成了对高雷诺数湍流绕流场的模拟计算。结果表明:所建立的熵格子Boltzmann方法重整化群代数湍流模型能够有效地模拟高雷诺数湍流流动问题;其对紧贴壁面处较小尺度湍涡的模拟结果趋近于大涡模拟的结果;重整化群代数湍流模型在对高雷诺数湍流的模拟中表现出耗散模型的特征。

Renormalization group algebraic turbulence model in entropic lattice Boltzmann method

The renormalization group theory can furthest reduce the empirical value in turbulence models. A renormalization group algebraic turbulence model was introduced to the entropic lattice Boltzmann method, in order to establish a new model for high Reynolds number turbulent flow simulations. Meanwhile, with the view of comparative study, the standard large eddy simulation model in entropic lattice Boltzmann method was also established. Numerical simulations for the high Reynolds number turbulence were carried out. The results show that the renormalization group algebraic turbulence model established in entropic lattice Boltzmann method can effectively simulate high Reynolds number turbulent flows;as for the simulation of minor scale turbulent eddies, its results approach those of the LES model; the renormalization group alge-braic turbulence model performs dissipation model features in the simulation of high Reynolds number tur-bulence.