| 径向基函数参数化翼型的气动力降阶模型优化 |
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| 引用本文： | 张珺,李立州,原梅妮.径向基函数参数化翼型的气动力降阶模型优化[J].应用数学和力学,2019,40(3):250-258. |
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| 作者姓名： | 张珺 李立州 原梅妮 |
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| 作者单位： | 1太原学院 数学系, 太原 030001;2中北大学 机电工程学院, 太原 030051 |
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| 基金项目： | 国家自然科学基金(51775518) |
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| 摘 要： | 基于小扰动和弱非线性假设，提出了一种基于气动力降阶模型和径向基函数参数化的翼型优化方法.其主要方法是用径向基函数参数化翼型扰动；通过CFD辨识参数扰动对翼型气动力影响的降阶模型核函数；基于叠加法建立了参数变化对翼型气动力影响的降阶模型；最后基于该气动力降阶模型计算并优化翼型升阻特性.NACA0012翼型优化的结果表明基于气动力降阶模型的优化方法是可行的，可以极大地提高翼型优化速度.
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| 关 键 词： | 降阶模型 翼型 优化 径向基函数 参数化 |
| 收稿时间： | 2018-06-28 |
Optimization of RBF Parameterized Airfoils With the Aerodynamic ROM |
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| Affiliation: | 1Department of Mathematics, Taiyuan University, Taiyuan 030001, P.R.China;2College of Mechatronics Engineering, North University of China, Taiyuan 030051, P.R.China |
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| Abstract: | Under the assumption of small perturbations and weak nonlinearity, a new airfoil optimization method was proposed based on the aerodynamic reduction order model (ROM) and the radial basis function (RBF) parameterization. The RBF was used to parameterize the airfoil shape perturbations, the ROM kernels of the airfoil aerodynamics corresponding to shape perturbations were identified with the computational fluid dynamics (CFD), the aerodynamic ROM was built through superposition, and the airfoil lift drag ratio was calculated and optimized with the ROM. The optimized results of the NACA0012 airfoil show that, the proposed optimization method based on the ROM is feasible and can greatly accelerate the airfoil optimization procedure. |
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