用改进的高精度 IPDG 方法对经过 SD7003 机翼的低雷诺数流进行大涡流模拟

IF 3.8 2区 工程技术 Q1 ENGINEERING, MECHANICAL Acta Mechanica Sinica Pub Date : 2024-09-09 DOI:10.1007/s10409-024-23637-x
Shixi Hao  (, ), Ming Zhao  (, ), Qiushi Ding  (, ), Jiabing Xiao  (, ), Yanan Chen  (, ), Wei Liu  (, ), Xiaojian Li  (, ), Zhengxian Liu  (, )
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引用次数: 0

摘要

众所周知,在低雷诺数条件下,层流分离气泡(LSB)的形成和破裂会极大地影响机翼的性能,因此需要对微妙的流动结构进行更精确的模拟。本研究采用了基于内部惩罚非连续 Galerkin 方法和大涡模拟方法的框架。通过对雷诺数为 60000 的 SD7003 机翼进行流动模拟,分析了各种子网格模型的性能,包括 Smagorinsky(SM)模型、动态 Smagorinsky(DSM)模型、壁面适配局部涡流粘度(WALE)模型和 VREMAN 模型。结果表明,即使经过 Van-Driest 阻尼函数的修正,SM 模型也无法预测 LSB 的出现。相反,WALE 模型在气流分离、重新附着、过渡位置以及气动载荷方面通常能达到最佳一致性。此外,还通过比较表皮摩擦力和解析雷诺应力讨论了数值耗散的影响。随着数值耗散的减小,WALE 模型的预测精度也随之降低。同时,从 DSM 模型的性能中可以观察到非线性变化,这可能归因于数值耗散与子网格模型之间的相互作用。
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Large eddy simulation of low-Reynolds-number flow past the SD7003 airfoil with an improved high-precision IPDG method

At low-Reynolds-number, the performance of airfoil is known to be greatly affected by the formation and burst of a laminar separation bubble (LSB), which requires a more precise simulation of the delicate flow structures. A framework based on the interior penalty discontinuous Galerkin method and large eddy simulation approach was adopted in the present study. The performances of various subgrid models, including the Smagorinsky (SM) model, the dynamic Smagorinsky (DSM) model, the wall-adapting local-eddy-viscosity (WALE) model, and the VREMAN model, have been analyzed through flow simulations of the SD7003 airfoil at a Reynolds number of 60000. It turns out that the SM model fails to predict the emergence of LSB, even modified by the Van-Driest damping function. On the contrary, the best agreement is generally achieved by the WALE model in terms of flow separation, reattachment, and transition locations, together with the aerodynamic loads. Furthermore, the influence of numerical dissipation has also been discussed through the comparison of skin friction and resolved Reynolds stresses. As numerical dissipation decreases, the prediction accuracy of the WALE model degrades. Meanwhile, nonlinear variation could be observed from the performances of the DSM model, which could be attributed to the interaction between the numerical dissipation and the subgrid model.

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来源期刊
Acta Mechanica Sinica
Acta Mechanica Sinica 物理-工程:机械
CiteScore
5.60
自引率
20.00%
发文量
1807
审稿时长
4 months
期刊介绍: Acta Mechanica Sinica, sponsored by the Chinese Society of Theoretical and Applied Mechanics, promotes scientific exchanges and collaboration among Chinese scientists in China and abroad. It features high quality, original papers in all aspects of mechanics and mechanical sciences. Not only does the journal explore the classical subdivisions of theoretical and applied mechanics such as solid and fluid mechanics, it also explores recently emerging areas such as biomechanics and nanomechanics. In addition, the journal investigates analytical, computational, and experimental progresses in all areas of mechanics. Lastly, it encourages research in interdisciplinary subjects, serving as a bridge between mechanics and other branches of engineering and the sciences. In addition to research papers, Acta Mechanica Sinica publishes reviews, notes, experimental techniques, scientific events, and other special topics of interest. Related subjects » Classical Continuum Physics - Computational Intelligence and Complexity - Mechanics
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