充分发展湍流标度律的数学模型

为了解湍流小尺度结构的特征,以及湍流雷诺应力模型的建立,开展了充分发展湍流的标度律研究。提出了建立数学模型来研究湍流标度律的方法,可以方便地提取湍流的标度指数。结果表明:该理论不再需要"惯性区的存在"或"大雷诺数"的假设,不再依赖于标度区间的确定,标度指数完全可以通过计算确定下来,新模型确定的标度指数与ESS的标度指数几乎完全一致,误差在1%以内,且物理意义更明确。

Mathematical model on scaling law in fully developed turbulence

A novel mathematical model was presented to describe the statistical characteristics of developed turbulence, especially in inhomogeneous case.It has an important guidance and important practical value to understand the characteristics of small scale turbulent structures and turbulent numerical method. The scaling exponents of turbulence can be more easily obtained by this model, which is much different from the early method.This theory does no longer rely on “the existence of inertia range” or the assumption of large Reynolds number, and the scale exponents can be determined completely by calculating. The results of research show that the obtained scaling exponents based on the model is consistent with that on ESS with error within 1% , that the method is the new progress of turbulence research, and that the physical meaning is more clear.