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Aerodynamic Shape Optimisation of Benchmark Problems Using SU2

机译:使用SU2优化基准问题的气动形状

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In this paper, results are presented from the application of an open-source code, SU2, to a suite of benchmark cases defined by the AIAA Aerodynamic Design Optimisation Discussion Group. Two geometry parameterisation methods are employed, which are Hicks— Henne bump functions and Free—Form Deformation. Mesh deformation is achieved by solving linear elasticity equations. The adjoint solver within SU2 enables efficient sensitivity analysis, and gradient—based optimisation is performed using the SLSQP optimiser. The first optimisation problem studied is the drag minimisation of the NACA 0012 aerofoil in inviscid, transonic flow subject to a minimum thickness constraint. The shock wave is greatly weakened and moved downstream, achieving as much as 83% drag reduction. The second is the lift—constrained drag minimisation of the RAE 2822 aerofoil in transonic, viscous flow. The shock is eliminated, reducing drag by 38%. The NACA 0012 optimisation shows sensitivity to several numerical settings in the parameterisation approaches, whereas the RAE 2822 optimisation is insensitive to those parameter settings. The same pattern is also observed in the design variable dimensionality study. Moreover, for both two—dimensional optimisation problems, non—unique flow solutions exist on the optimised aerofoil. The third problem is the twist optimisation of a rectangular wing to minimise the induced drag at fixed lift in subsonic, inviscid flow. A nearly elliptical lift distribution is obtained using Free—Form Deformation twist parameterisation. The drag is reduced by approximately 1 count and an improved span efficiency is achieved.
机译:在本文中,结果是通过将开放源代码SU2应用于AIAA空气动力学设计优化讨论组定义的一组基准案例得出的。采用了两种几何参数化方法,即Hicks(亨克斯凸点函数)和Free-Form Deformation(自由变形)。网格变形是通过求解线性弹性方程实现的。 SU2中的伴随求解器可以进行高效的灵敏度分析,并且使用SLSQP优化器执行基于梯度的优化。研究的第一个优化问题是在最小厚度约束下,不粘跨音速流中NACA 0012翼型的阻力最小化。冲击波被大大削弱并向下游移动,实现了多达83%的阻力减小。第二个是跨音速粘性流中的RAE 2822机翼的升力约束阻力最小化。消除了冲击,将阻力降低了38%。在参数化方法中,NACA 0012优化显示出对几种数值设置的敏感性,而RAE 2822优化则对那些参数设置不敏感。在设计变量尺寸研究中也观察到了相同的模式。此外,对于两个二维优化问题,在优化的机翼上都存在非唯一流解。第三个问题是矩形机翼的扭曲优化,以最小化在亚音速,无粘性流中固定升力时产生的阻力。使用“自由变形变形”扭曲参数化可以获得近似椭圆的升力分布。阻力减少了大约1个计数,并提高了跨度效率。

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