新型单方程湍流模型构造及其应用
收稿日期: 2013-08-29
修回日期: 2013-12-23
网络出版日期: 2014-01-08
基金资助
国家自然科学基金（11002014）
Construction and Its Application of a New One-equation Turbulence Model
Received date: 2013-08-29
Revised date: 2013-12-23
Online published: 2014-01-08
Supported by
National Natural Science Foundation of China
为了提高雷诺应力本构关系式对于非平衡湍流的预测精度并且兼顾求解效率，发展了一种基于湍动能k的单方程（KDO）湍流模型。其主要思路为：采用平板直接数值模拟（DNS）数据对原始Bradshaw假设进行重新标定，使得当地湍动能和雷诺主应力之比能够根据当地流动条件进行自适应调节；同时，对标准k-ε模型中的湍流耗散率输运方程采用代数形式进行模化，进而形成一种一方程湍流模型。算例结果表明：KDO湍流模型对于对数率能够准确反馈，而在带有激波或部件干扰等流动现象的RAE-2822、ONERA-M6和DLR-F6算例中，KDO湍流模型能够准确控制湍动能的增长和衰减，相比于Spalart-Allmaras和Menter k-ω剪切应力输运（SST）模型，KDO湍流模型的计算结果有了较为明显的改善。
白俊强 , 张扬 , 徐晶磊 , 华俊 . 新型单方程湍流模型构造及其应用[J]. 航空学报, 2014 , 35(7) : 1804 -1814 . DOI: 10.7527/S1000-6893.2013.0502
In order to enhance the predictive precision of the influence of Reynolds stress constitutive relation on non-equilibrium turbulent flow and preserve computational efficiency as well, a turbulent kinetic energy k based one-equation (KDO) turbulence model is proposed in this paper. The basic idea of the turbulence model is to recalibrate the original Bradshaw assumption results using the flat plate direct numerical simulation (DNS) data, which makes the local turbulence kinetic energy adaptively adjustable according to the local flow conditions. Meanwhile, the turbulence dissipation rate equation in the standard k-ε model is modeled by using the algebraic type and then a one-equation turbulence model has been completely constructed. The results of test cases showed that the KDO turbulence model could acceptably reflect the log-law. In the cases RAE-2822, ONERA-M6 and DLR-F6 with shock waves or component interferences, the KDO turbulence model is able to control the augmentations and decay of turbulence kinetic energy. Furthermore, comparing with the Spalart-Allmaras and Menter k-ω shear stress transport (SST) models, the KDO turbulence model evidently improved the calculation results.
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