Reynolds A M
Silsoe Research Institute, Wrest Park, Silsoe, Bedford MK45 4HS, United Kingdom.
Phys Rev Lett. 2003 Aug 22;91(8):084503. doi: 10.1103/PhysRevLett.91.084503. Epub 2003 Aug 21.
The Lagrangian stochastic model of Reynolds [Phys. Fluids 15, L1-4 (2003)]] for the accelerations of fluid particles in turbulence is shown to predict precisely the observed Reynolds-number dependency of the distribution of Lagrangian accelerations and the exponents characterizing the observed extended self-similarity scaling of the Lagrangian velocity structure functions. Departures from superstatistics of the log-normal kind are accounted for and their impact upon model predictions is quantified.
雷诺兹的拉格朗日随机模型[《物理流体》15,L1 - 4 (2003)]用于预测湍流中流体粒子加速度,结果表明该模型能精确预测所观测到的拉格朗日加速度分布的雷诺数依赖性,以及表征所观测到的拉格朗日速度结构函数扩展自相似标度的指数。考虑了偏离对数正态类型的超统计情况,并对其对模型预测的影响进行了量化。