航空学报 > 2015, Vol. 36 Issue (9): 2900-2910   doi: 10.7527/S1000-6893.2014.0342

基于非结构/混合网格的脱体涡模拟算法

张扬1,3, 张来平1,2, 赫新1,2, 邓小刚1,4   

  1. 1. 中国空气动力研究与发展中心 空气动力学国家重点实验室, 绵阳 621000;
    2. 中国空气动力研究与发展中心 计算空气动力研究所, 绵阳 621000;
    3. 中国空气动力研究与发展中心 低速空气动力研究所, 绵阳 621000;
    4. 国防科学技术大学, 长沙 410073
  • 收稿日期:2014-10-10 修回日期:2014-12-10 出版日期:2015-09-15 发布日期:2015-01-30
  • 通讯作者: 张来平 男, 博士, 研究员, 博士生导师。主要研究方向: 计算流体力学、非定常流动机理。 Tel: 0816-2463292 E-mail: zhanglp_cardc@126.com E-mail:zhanglp_cardc@126.com
  • 作者简介:张扬 男, 博士研究生, 工程师。主要研究方向: 低速空气动力学计算与试验。 Tel: 0816-2463205 E-mail: zhangy29v@sina.com
  • 基金资助:

    国家自然科学基金 (91016001, 11272339)

Detached-eddy simulation based on unstructured and hybrid grid

ZHANG Yang1,3, ZHANG Laiping1,2, HE Xin1,2, DENG Xiaogang1,4   

  1. 1. State Key Laboratory of Aerodynamics of China Aerodynamics Research and Development Center, Mianyang 621000, China;
    2. Computational Aerodynamics Institute of China Aerodynamics Research and Development Center, Mianyang 621000, China;
    3. Low Speed Aerodynamics Institute of China Aerodynamics Research and Development Center, Mianyang 621000, China;
    4. National University of Defense Technology, Changsha 410073, China
  • Received:2014-10-10 Revised:2014-12-10 Online:2015-09-15 Published:2015-01-30
  • Supported by:

    National Natural Science Foundation of China (91016001, 11272339)

摘要:

为了提高二阶精度有限体积算法的湍流数值模拟能力,在原始Roe格式基础上建立了与脱体涡模拟(DES)方法相匹配的二阶混合耗散自适应格式,根据流场信息自动调节格式耗散,并分别基于Spalart-Allmaras一方程湍流模型和k-ω剪切应力输运(SST)两方程湍流模型,发展了基于非结构/混合网格的DES方法。采用该方法计算了雷诺数为3 900的圆柱绕流和NACA 0021翼型60°大迎角分离流两个典型算例,通过与试验数据以及其他数值结果的对比验证了该方法的可行性。同时开展了不同数值格式、湍流模型的对比分析,研究结果表明:采用混合格式的DES算法能够解析更小尺度的湍流涡结构、计算数据更接近试验值;本文的DES类算法受其基准湍流模型影响较小。

关键词: 脱体涡模拟, 二阶精度格式, 自适应耗散, 非结构网格, 混合网格, 有限体积法

Abstract:

To improve the turbulence simulation ability of the second order finite-volume algorithm based on unstructured and hybrid grid, a hybrid second order scheme is established by modifying the dissipation term of the standard Roe flux-difference splitting scheme and the numerical dissipation of the scheme can be self-adapted according to the detached-eddy simulation (DES) flow field information. The credibility of the approach is supported by two typical numerical examples of its application: Re=3 900 circular cylinder and NACA 0021 airfoil at high angle of attack (60°), and the DES predictions are compared with experimental data and with other numerical solutions. The DES methods based on both the one equation Spalart-Allmaras turbulence model and the two equation k-ω shear stress transport (SST) model are used in the computation. The effects of numerical schemes and turbulence models are also discussed in the study, which shows that the scale of turbulence structure resolved by the hybrid scheme is smaller than that resolved by the standard Roe scheme and the corresponding flow field is better; meanwhile the DES methods used in this paper are little affected by their RANS-based models.

Key words: detached-eddy simulation, second order scheme, self-adaptive dissipation, unstructured grid, hybrid grid, finite-volume method

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