SA和SST湍流模型对高超声速边界层强制转捩的适应性

doi:10.7527/S1000-6893.2014.0292

流体力学与飞行力学

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SA和SST湍流模型对高超声速边界层强制转捩的适应性

涂国华^1,2, 燕振国¹, 赵晓慧^1,2, 马燕凯¹, 毛枚良^1,3

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超高速空气动力研究所高超声速冲压发动机技术重点实验室, 绵阳 621000;
3. 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

收稿日期:2014-05-06 修回日期:2014-10-20 出版日期:2015-05-15 发布日期:2014-11-06
通讯作者: 涂国华Tel.: 0816-2463223 E-mail: ght@skla.cardc.cn E-mail:ght@skla.cardc.cn
作者简介:涂国华男, 博士。主要研究方向:高阶精度格式,高超声速空气动力学,高超声速转捩。 Tel: 0816-2463223 E-mail: ght@skla.cardc.cn;燕振国男, 硕士。主要研究方向:计算流体力学,高阶精度格式,隐式时间推进方法。 Tel: 0816-2463209 E-mail: zhgyan@outlook.com
基金资助:
国家自然科学基金 (11072259);高超声速冲压发动机技术重点实验室开放课题

SA and SST turbulence models for hypersonic forced boundary layer transition

TU Guohua^1,2, YAN Zhenguo¹, ZHAO Xiaohui^1,2, MA Yankai¹, MAO Meiliang^1,3

1. State Key Laboratory of Aerodynamics, China Aerodynamics Research and Development Center, Mianyang 621000, China;
2. Science and Technology on Scramjet Key Laboratory, Hypervelocity Aerodynamics Institute, China Aerodynamics Research and Development Center, Mianyang 621000, China;
3. Computational Aerodynamics Institute, China Aerodynamics Research and Development Center, Mianyang 621000, China

Received:2014-05-06 Revised:2014-10-20 Online:2015-05-15 Published:2014-11-06
Supported by:
National Natural Science Foundation of China (11072259); The Open Foundation of Science and Technology on Scramjet Key Laboratory

摘要/Abstract

摘要：

凸起物是高超声速流动中常用的一种人工转捩装置。采用高阶精度算法模拟了高超声速进气道压缩面上的强制转捩流动,转捩装置为一排高度为1 mm的钻石型凸起物和斜坡型凸起物。考察了Spalart-Allmaras (SA)模型和剪切应力输运(SST)湍流模型对该问题的适应性。在考察过程中通过丰富的算例分析了网格规模、可压缩修正和空间离散格式等对计算结果的影响。在层流区,计算能与试验取得非常一致的结果。但在湍流区,计算得到的热流通常高出试验数据。经分析发现其原因是强制转捩的湍流边界层与自然转捩的湍流边界层在涡结构上存在较大差别,使得湍流模型的效果较差。针对高超强制转捩湍流涡结构丰富的特点,对SST湍流模型进行了修改。计算结果表明,该修改方法对提高热流精度具有一定效果。

关键词: 湍流模型, 边界层转捩, 涡流发生器, 高阶格式, 可压缩修正

Abstract:

Protuberances are widely used for the trip laminar-turbulent transition of boundary layers. A row of 1 mm height diamond and slop protuberances are installed on the compression surface of a hypersonic inlet model. High-order schemes are applied to simulating the forced-transition flows. The Spalart-Allmaras (SA) and shear stress transport (SST) turbulence models are investigated for this kind of flow. Quite a number of numerical tests are taken to examine to what extent grid sizes, compressibility corrections and spatial discrete schemes influence the numerical accuracy. It turns out that the computed results are well consistent with experimental results in the laminar region, while the computed heating transfer rates are much larger than experimental data in the turbulent region. The inconsistency is suspected to be caused by the vortex structure of forced transitional flows which are quite different from natural transitional flows. The abundant vortices in forced transitional boundary layers may degrade the effectiveness of turbulence models. According to the characteristics of vortex structures, a modification to the SST model is suggested for hypersonic turbulent boundary layers caused by forced transition. Numerical tests indicate that the modification can enhance the accuracy of computed heating transfer rates.

Key words: turbulence models, boundary layer transition, vortex generators, high-order schemes, compressibility corrections

中图分类号:

V211.3
O355

涂国华, 燕振国, 赵晓慧, 马燕凯, 毛枚良. SA和SST湍流模型对高超声速边界层强制转捩的适应性[J]. 航空学报, 2015, 36(5): 1471-1479.

TU Guohua, YAN Zhenguo, ZHAO Xiaohui, MA Yankai, MAO Meiliang. SA and SST turbulence models for hypersonic forced boundary layer transition[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(5): 1471-1479.

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E-mail：hkxb@buaa.edu.cn

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SA和SST湍流模型对高超声速边界层强制转捩的适应性

SA and SST turbulence models for hypersonic forced boundary layer transition

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