航空学报 > 2014, Vol. 35 Issue (7): 1804-1814   doi: 10.7527/S1000-6893.2013.0502

新型单方程湍流模型构造及其应用

白俊强1, 张扬1, 徐晶磊2, 华俊3   

  1. 1. 西北工业大学 航空学院, 陕西 西安 710072;
    2. 北京航空航天大学 能源与动力工程学院, 北京 100191;
    3. 中国航空研究院, 北京 100012
  • 收稿日期:2013-08-29 修回日期:2013-12-23 出版日期:2014-07-25 发布日期:2014-01-08
  • 通讯作者: 徐晶磊,Tel.:010-82317403E-mail:xujl@buaa.edu.cn E-mail:xujl@buaa.edu.cn
  • 作者简介:白俊强男,博士,教授,博士生导师。主要研究方向:设计空气动力学,非定常空气动力学,工程湍流模拟。Tel:029-88492694E-mail:junqiang@nwpu.edu.cn张扬男,博士研究生。主要研究方向:工程湍流模拟,流动控制。E-mail:iamvip2@163.com徐晶磊男,博士,讲师。主要研究方向:湍流稳定性,湍流模拟。Tel:010-82317403E-mail:xujl@buaa.edu.cn
  • 基金资助:

    国家自然科学基金(11002014)

Construction and Its Application of a New One-equation Turbulence Model

BAI Junqiang1, ZHANG Yang1, XU Jinglei2, HUA Jun3   

  1. 1. School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China;
    2. School of Energy and Power Engineering, Beihang University, Beijing 100191, China;
    3. Chinese Aeronautics Establishment, Beijing 100012, China
  • Received:2013-08-29 Revised:2013-12-23 Online:2014-07-25 Published:2014-01-08
  • Supported by:

    National Natural Science Foundation of China

摘要:

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。

关键词: 湍流模型, 雷诺应力, vonKá, rmá, n长度尺度, 湍流耗散率, Bradshaw假设

Abstract:

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.

Key words: turbulence model, Reynolds-stress, von Ká, rmá, n length, turbulence dissipation rate, Bradshaw assumption

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