On the sensitization of turbulence models to rotation and curvature
On the sensitization of turbulence models to rotation and curvature
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DOI：
10.1016/s1270-9638(97)90051-1
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发表时间：
1997-07
影响因子：
5.6
通讯作者：
P. Spalart;M. Shur
中科院分区：
文献类型：
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作者：
P. Spalart;M. Shur
讨论了考虑系统旋转和流线曲率的涡粘性湍流模型的经验变化。除了在一类狭窄的流动中，流线曲率本身并不足以进入模型，因为它不是伽利略不变的。我们提出了一种对湍流的额外影响的度量，它是不变的，在三维中完全定义，并统一了旋转和曲率效应。这是以涉及比“传统”(非不变)项更高的导数为代价的。它与Knight&Saffman的一个观点[1]密切相关。它的解释是直截了当的，至少在两个维度上是这样的，并且与一些“积木”流动中的经典测量相一致，例如旋转剪切流或弯曲边界层。它可以与依赖于该模型的经验函数相结合地用于一方程、两方程以及类似的模型，并给出了一个例子。
Empirical alterations of eddy-viscosity turbulence models to account for system rotation and streamline curvature are discussed. Except in a narrow class of flows, the streamline curvature itself is an inadequate entry into a model, because it is not Galilean-invariant. We propose a measure of the extra influence on the turbulence which is invariant, fully defined in three dimensions, and unifies rotation and curvature effects. This is at the expense of involving higher derivatives than the “traditional” (non-invariant) terms do. It is closely related to an idea of Knight & Saffman [1]. Its interpretation is straightforward, at least in two dimensions, and coincides with the classical measures in a few “building-block” flows such as rotating shear flow or a curved boundary layer. It can be used in one-equation, two-equation, and similar models in conjunction with empirical functions which depend on the model; an example is given.