Comparative Analysis of Algebraic Models of Laminar-Turbulent Transition

A. S. Stabnikov, A. V. Garbaruk, A. A. Matyushenko
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Abstract

This paper presents the results of extensive testing of four recently proposed algebraic laminar-turbulent transition (LTT) models, which are significantly more computationally effective than differential models, while being potentially equally accurate. The models chosen for evaluation, namely, SST KD, SST kγ, SST alg-γ, and SA BCM, are implemented in the in-house code NTS and verified by comparing the obtained results with those published by the models’ authors. The experimental database used for the evaluation of the models includes transitional boundary layers at different free-flow turbulence intensities with and without the pressure gradient, four airfoil flows with different LTT scenarios, and a tandem of two airfoils. It is found that at low levels of turbulence, the results of the SA BCM and SST kγ models may depend on the initial approximation, which does not allow them to be recommended for engineering applications. The best results, comparable in accuracy to those of differential models, are obtained using the SST alg-γ model.

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层流-湍流转换代数模型的比较分析
摘要 本文介绍了对最近提出的四个代数层流-湍流转换(LTT)模型的广泛测试结果。选择用于评估的模型,即 SST KD、SST kγ、SST alg-γ 和 SA BCM,是在内部代码 NTS 中实现的,并通过将获得的结果与模型作者发表的结果进行比较来验证。用于评估模型的实验数据库包括有压力梯度和无压力梯度的不同自由流湍流强度下的过渡边界层、不同 LTT 情景下的四个机翼流以及两个机翼的串联流。研究发现,在低湍流水平下,SA BCM 和 SST kγ 模型的结果可能取决于初始近似值,因此不能推荐用于工程应用。使用 SST alg-γ 模型得到的结果最好,精度与差分模型相当。
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Mathematical Models and Computer Simulations
Mathematical Models and Computer Simulations Mathematics-Computational Mathematics
CiteScore
1.20
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0.00%
发文量
99
期刊介绍: Mathematical Models and Computer Simulations  is a journal that publishes high-quality and original articles at the forefront of development of mathematical models, numerical methods, computer-assisted studies in science and engineering with the potential for impact across the sciences, and construction of massively parallel codes for supercomputers. The problem-oriented papers are devoted to various problems including industrial mathematics, numerical simulation in multiscale and multiphysics, materials science, chemistry, economics, social, and life sciences.
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