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在二维流场的重构问题中应用特征正交分解(Proper Orthogonal Decomposition,POD)数据处理方法。利用CFD技术计算得到的流场快照对气动力模型进行降阶,然后利用基于POD的降阶模型(Reduced Order Model,ROM)对所需的流场参数进行重构,在快照范围内可以得到高精度的结果,且具有一定的外插能力。在翼型反设计问题中该方法仍然是成功的,通过修正快照向量,利用基于POD降阶模型的数据重构方法,由已知的翼型表面压力分布通过反设计就能够高效精确地得到对应的最优翼型形状,这极大地简化了翼型反设计问题。本文分别在跨声速范围对RAE 2822翼型的流场重构和Korn翼型及NACA 63212翼型的反设计进行了验证,证明了基于POD的流场重构和翼型反设计方法的有效性和高效性。
Proper Orthogonal Decomposition (POD) data processing method is applied to the reconstruction of two-dimensional flow field. The flow field snapshot calculated by CFD technique is used to reduce the aerodynamic model, and then the required flow field parameters are reconstructed using the Reduced Order Model (ROM) based on the POD, which can be obtained in the snapshot range high The result of the precision, and has certain extrapolation ability. The method is still successful in the airfoil inverse design. By modifying the snapshot vector and using the data reconstructing method based on the POD reduction model, the known airfoil surface pressure distribution can be efficiently and accurately obtained by the anti-design The optimal airfoil shape, which greatly simplifies the airfoil anti-design problem. In this paper, the flow field reconstruction of RAE 2822 airfoil and the inverse design of Korn airfoil and NACA 63212 airfoil are validated across transonic range. The effectiveness of the POD-based flowfield reconstruction and airfoil inverse design method is proved. And efficient.