MODELING THE PRESSURE STRAIN CORRELATION OF TURBULENCE - AN INVARIANT DYNAMIC-SYSTEMS APPROACH
MODELING THE PRESSURE STRAIN CORRELATION OF TURBULENCE - AN INVARIANT DYNAMIC-SYSTEMS APPROACH
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DOI：
10.1017/s0022112091000101
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发表时间：
1991-06-01
影响因子：
3.7
通讯作者：
GATSKI, TB
中科院分区：
文献类型：
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作者：
SPEZIALE, CG;SARKAR, S;GATSKI, TB
湍流的压力-应变相关性的建模从基本的理论观点进行了研究，以期发展改进的二阶闭合模型。 不变性的考虑沿着与基本动力系统理论中使用的封闭模型的标准层次的分析。 在这些常用的模型中，压力-应变相关性被假定为平均速度梯度的线性函数，其系数在代数上取决于各向异性张量。 它被证明是平面均匀湍流的平衡结构，这一层次的模型封装由一个相对简单的模型，它只是二次非线性的各向异性张量。 这种新的二次模型-SSG模型-似乎在五个独立的均匀湍流中产生比Launder，Reece & Rodi模型（以及具有相当复杂的非线性结构的最近模型）更好的结果。 然而，旋转湍流剪切流的描述仍然存在一些缺陷，这些缺陷是模型的一般层次结构所固有的，因此，不能仅仅通过引入更复杂的非线性来克服。 因此，有人认为，最近的趋势，增加更复杂的非线性项包含各向异性张量可能是值得怀疑的压力-应变相关性的建模价值。 简要讨论了可能的替代方法。
The modelling of the pressure-strain correlation of turbulence is examined from a basic theoretical standpoint with a view toward developing improved second-order closure models. Invariance considerations along with elementary dynamical systems theory are used in the analysis of the standard hierarchy of closure models. In these commonly used models, the pressure-strain correlation is assumed to be a linear function of the mean velocity gradients with coefficients that depend algebraically on the anisotropy tensor. It is proven that for plane homogeneous turbulent flows the equilibrium structure of this hierarchy of models is encapsulated by a relatively simple model which is only quadratically nonlinear in the anisotropy tensor. This new quadratic model - the SSG model - appears to yield improved results over the Launder, Reece & Rodi model (as well as more recent models that have a considerably more complex nonlinear structure) in five independent homogeneous turbulent flows. However, some deficiencies still remain for the description of rotating turbulent shear flows that are intrinsic to this general hierarchy of models and, hence, cannot be overcome by the mere introduction of more complex nonlinearities. It is thus argued that the recent trend of adding substantially more complex nonlinear terms containing the anisotropy tensor may be of questionable value in the modelling of the pressure-strain correlation. Possible alternative approaches are discussed briefly.