论文标题
部分发展的湍流定律
Scaling laws for partially developed turbulence
论文作者
论文摘要
我们为速度差异和梯度制定多重模型，这些模型描述了湍流中长度尺度的完整范围，即：层状，耗散，惯性和搅拌范围。这些模型集成了惯性范围湍流的现有模型。在湍流仅部分开发的长度尺度的局部范围内，我们提出了多重尺度缩放定律，其缩放指数从其惯性范围值修改。在本地区域，即使在完全发达的湍流中，由于较大的湍流结构（或其缺失）的影响，湍流也不是各向同性的，也不是尺度不变。因此，未完全发展的湍流是惯性范围研究无法解决的重要问题。在部分发展的湍流的范围内，流程可能远非通用，因此标准的惯性范围湍流缩放模型变得不可能。这里提出的模型可用作替换。讨论了$τ_p$和$ζ_P$模型在耗散范围内的拟合。 $ζ_P$的某些行为无法解释。通过与高分辨率仿真数据进行比较来验证这些理论。
We formulate multifractal models for velocity differences and gradients which describe the full range of length scales in turbulent flow, namely: laminar, dissipation, inertial, and stirring ranges. The models subsume existing models of inertial range turbulence. In the localized ranges of length scales in which the turbulence is only partially developed, we propose multifractal scaling laws with scaling exponents modified from their inertial range values. In local regions, even within a fully developed turbulent flow, the turbulence is not isotropic nor scale invariant due to the influence of larger turbulent structures (or their absence). For this reason, turbulence that is not fully developed is an important issue which inertial range study can not address. In the ranges of partially developed turbulence, the flow can be far from universal, so that standard inertial range turbulence scaling models become inapplicable. The model proposed here serves as a replacement.Details of the fitting of the parameters for the $τ_p$ and $ζ_p$ models in the dissipation range are discussed. Some of the behavior of $ζ_p$ for larger $p$ is unexplained. The theories are verified by comparing to high resolution simulation data.
