ABSTRACT An approach to devising a consistency formulation for (production-to-dissipation ratio) is proposed to obtain a non-singular (coefficient of eddy-viscosity) embedded in the one-equation model based on the turbulent kinetic energy k. The dissipation rate ε is evaluated with an algebraically prescribed length scale having only one adjustable coefficient, accompanied by an anisotropic function enhancing the dissipation in non-equilibrium flow regions. The model accounts for the distinct effects of low Reynolds number (LRN) and wall proximity. The stress-intensity ratio is formulated as a function of local variables without resorting to a constant . The parameters and entering the turbulence production prevents presumably the overestimation of in flow regions where non-equilibrium effects could result in a misalignment between turbulent stress and mean strain rate with a linear eddy-viscosity model. A comparative assessment of the present model with the Spalart–Allmaras (SA) one-equation model and the shear stress transport (SST) k–ω model is provided for well-documented simple and non-equilibrium turbulent flows. Finally, the current model provides a proposal to compute free shear flows.

中文翻译：

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一致公式化 k 方程模型的涡粘性系数

摘要 提出了一种为（生产与耗散比）设计一致性公式的方法，以获得基于湍流动能 k 的一个方程模型中嵌入的非奇异（涡粘性系数）。耗散率 ε 是用一个只有一个可调系数的代数规定的长度尺度来评估的，伴随着一个各向异性函数，增强了非平衡流动区域的耗散。该模型解释了低雷诺数 (LRN) 和壁面接近度的不同影响。应力强度比被公式化为局部变量的函数，而无需求助于常数 。参数和进入湍流产生可以防止对流动区域的高估，其中非平衡效应可能导致湍流应力和平均应变率与线性涡粘性模型之间的错位。本模型与 Spalart-Allmaras (SA) 一方程模型和剪切应力输运 (SST) k-ω 模型的比较评估提供了有据可查的简单和非平衡湍流流动。最后，当前模型提供了计算自由剪切流的建议。