论文标题

亚音速流中的椭圆机翅:通过CFD模拟产生指示性升力 - 具有参数分析近似值

On Elliptical Wings in Subsonic Flow: Indicial Lift Generation via CFD Simulations -- with Parametric Analytical Approximations

论文作者

Righi, Marcello, berci, Marco

论文摘要

这项研究介绍了基于EULER方程的计算流体动力学的支持,生成空气动力学指示功能的过程和好处。为了评估数值解决方案的物理一致性,同时研究了理论模型在亚音速方案中的适用性,因此基于线性提升线和活塞理论而开发了一个简单的参数分析近似。因此,考虑细椭圆机翅膀,设计空间由三个参数描述:机翼纵横比(6、8、12、20),自由流马赫数(0.3、0.5、0.6)和流动扰动类型(攻击角度,垂直尖锐的阵风)。所有数值模拟都表现出良好的质量和对参数以外的参数的较弱敏感性,而远程比率则构成了它们的综合效果。最终,通过与机翼升力发育的初始和最终行为相匹配,使用数值结果调整分析近似并提高其准确性的好处,并有效合成了低效率模型中的高保真特征。

This study deals with the process and benefits of generating aerodynamic indicial-admittance functions with the support of computational fluid dynamics based on the Euler equations. A simple parametric analytical approximation is alongside developed based on linear lifting line and piston theory, for the sake of assessing the physical consistency of numerical solutions while investigating the suitability of theoretical models in the subsonic regime. Thin elliptical wings are hence considered and the design space is described by three parameters: wing aspect ratio (6, 8, 12, 20), free-stream Mach number (0.3, 0.5, 0.6) and flow perturbation type (angle of attack step, vertical sharp-edged gust). All numerical simulations exhibit good quality and weak sensitivity to parameters other than Mach number and flow aspect ratio, accounting for their combined effects. The benefit of using numerical results to tune analytical approximations and improve their accuracy is finally demonstrated by matching both initial and final behaviours of the wing lift development, with an effective synthesis of the high-fidelity features in the low-fidelity model.

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