In the present study, the formation of the wing-tip vortex from a rectangular NACA0015 wing with a square tip at the Reynolds number of 1.8×10⁵ and the angles of attack (AOA) α = 8° and 10° were simulated with an incompressible detached eddy simulation (DES) method and the Reynolds averaged Navier-Stokes (Rans) equations with the Sa model respectively. Numerical results were compared with experimental results to validate the capability of the employed methods in resolving tip vortex flows. The results show that DES model could capture the complicated three-dimensional structures in the vortex, and the streamwise vorticity and the cross-flow velocity agree with the experiment results quite well, but RANS-SA model with the same grid as that of DES failed to capture the correct structures and under-predicted the streamwise vorticity in the vortex by 40%. The present study suggests that under the same calculation cost, DES but not RANS-SA could be used to effectively predict the flow characteristics in tip vortex.

中文翻译：

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NACA 0015机翼近场中翼尖涡旋的分离涡模拟

在本研究中，由雷诺数为1.8×10 ⁵的矩形NACA0015机翼和方尖形成的翼尖涡旋分别采用不可压缩的分离涡模拟（DES）方法和雷诺的平均Navier-Stokes（Rans）方程对Sa模型的迎角（AOA）α= 8°和10°进行了模拟。将数值结果与实验结果进行比较，以验证所采用方法解决尖端涡流的能力。结果表明，DES模型可以捕获旋涡中复杂的三维结构，流向涡度和错流速度与实验结果吻合得很好，但是与DES具有相同网格的RANS-SA模型失败了。捕获正确的结构，并低估了涡流中的流向涡度40％。本研究表明，在相同的计算成本下，