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A universal formulation of two-equation models for adaptive computation of turbulent flows

机译：求解湍流的两方程模型的通用表述

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This paper describes the application of a recently developed universal adaptive finite element algorithm to the simulation of several turbulent flows. The objective of the present work is to show how the controlled accuracy of adaptive methods provides the means to perform careful quantitative comparisons of two-equation models. The formulation uses the logarithmic form of turbulence variables, which naturally leads to a simple algorithm applicable to all two-equation turbulence models. The new methodology is free of ad-hoc stability enhancement measures such as clipping and limiters which may often differ from one model to the other. Such techniques limit the predictive capability of a turbulence model and cloud the issues of a comparison study. The present procedure results in one adaptive solver applicable to all two-equation models. The approach is demonstrated by comparing three popular turbulence models on a few non-trivial compressible and incompressible flows. We have chosen the following models: the standard k -ε model, the k -τ model of Special and the k -ω model of Wilcox. Results show that accurate solutions can be obtained for all models, and that systematic comparison of turbulence models can be made.
机译：本文介绍了最近开发的通用自适应有限元算法在几种湍流模拟中的应用。本工作的目的是说明自适应方法的受控精度如何为进行两方程模型进行仔细的定量比较提供手段。该公式使用湍流变量的对数形式，这自然导致适用于所有两方程湍流模型的简单算法。新的方法没有临时性的增强稳定性的措施，例如削波和限制器，这在一种模型之间通常可能会有所不同。这样的技术限制了湍流模型的预测能力，并模糊了比较研究的问题。本过程导致一个适用于所有两方程模型的自适应求解器。通过在一些非平凡的可压缩和不可压缩流上比较三种流行的湍流模型来证明该方法。我们选择了以下模型：标准k-ε模型，Special的k-τ模型和Wilcox的k-ω模型。结果表明，可以为所有模型获得准确的解，并且可以对湍流模型进行系统的比较。

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