论文标题
迈向自洽的玻尔兹曼动力学模型的流体湍流模型
Towards a self-consistent Boltzmann's kinetic model of fluid turbulence
论文作者
论文摘要
基于动力学波动和湍流波动的双重平均过程，提出了玻尔兹曼-BGK动力学方程的有效松弛时间的封闭。最终的有效放松时间似乎与仅在$ k/t $的低值时对Navier-Stokes方程进行的重新规范化群处理获得的值，该方程是$ k/t $，湍流动能与流体温度的比率。对于$ k/t> 0.1 $，动力学处理的有效放松时间明显更长。
A closure for the effective relaxation time of the Boltzmann-BGK kinetic equation for fluid turbulence is presented, based on a double-averaging procedure over both kinetic and turbulent fluctuations. The resulting effective relaxation time appears to agree with values obtained via a renormalization group treatment of the Navier-Stokes equation only at low values of $k/T$, the ratio of turbulent kinetic energy to fluid temperature. For $k/T>0.1$ the kinetic treatment delivers a significantly longer effective relaxation time.
