Large eddy simulation based on an improved high-precision interior penalty discontinuous Galerkin method: flow past cylinders and airfoils

IF 2.3 3区工程技术 Q2 MECHANICS

Acta Mechanica Pub Date : 2024-08-24 DOI:10.1007/s00707-024-04060-4

Qiushi Ding, Ming Zhao, Jiabing Xiao, Yanan Chen, Shixi Hao, Cheng Cheng, Xiaojian Li, Zhengxian Liu

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引用次数: 0

Abstract

The accuracy of flow field prediction relies on the resolution of the flow structures, and numerical simulation of flow field based on high-precision methods is of great significance. To this end, an improved interior penalty discontinuous Galerkin (IPDG) method was adopted in the present study to conduct large eddy simulation (LES). It has been validated that the improved IPDG method can reach a precision of at least fourth order. Moreover, the effects of subgrid-scale models and numerical dissipation in the IPDG-LES framework remain questionable. Therefore, the turbulent flow past a circular cylinder at Re = 3900 has been systematically investigated. Compared with Smagorinsky models with/without a damping function and wall-adapting local eddy viscosity model, the dynamic subgrid model leads to higher accuracy due to the modeling strategy. The effect of numerical dissipation seems perverse, and the discrepancy could be attribute to the generation of aliasing error and resolved viscosity when numerical dissipation is artificially suppressed. In addition, NACA0021 airfoil flow simulation at AOA = 60 deg and Re = 2.7 × 10⁵ has been conducted. The characteristics of the turbulence field and high precision are also well demonstrated under the IPDG-LES framework.

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基于改进型高精度内部惩罚非连续伽勒金方法的大涡度模拟：流经气缸和机翼的流动

流场预测的精度取决于流动结构的分辨率，因此基于高精度方法的流场数值模拟意义重大。为此，本研究采用了改进的内部惩罚非连续伽勒金（IPDG）方法来进行大涡模拟（LES）。经过验证，改进的 IPDG 方法至少可以达到四阶精度。此外，IPDG-LES 框架中子网格尺度模型和数值耗散的影响仍然值得商榷。因此，我们系统地研究了 Re = 3900 时经过圆柱体的湍流。与带/不带阻尼函数的 Smagorinsky 模型和壁面适配局部涡粘模型相比，动态子网格模型的建模策略使其具有更高的精度。数值耗散的影响似乎是反向的，这种差异可能归因于人为抑制数值耗散时产生的混叠误差和解析粘度。此外，还进行了 AOA = 60 度、Re = 2.7 × 105 的 NACA0021 机翼流动模拟。在 IPDG-LES 框架下，湍流场的特性和高精度也得到了很好的证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Mechanica 物理-力学

CiteScore

4.30

自引率

14.80%

发文量

292

审稿时长

6.9 months

期刊介绍： Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.