一种跨音速流场和翼型反设计的新方法
首发时间:2010-12-31
摘要:提出了一种基于特征正交分解(Proper Orthogonal Decomposition,POD)的跨音速流场反设计的新方法,利用计算得到的流场快照对气动力模型进行降阶,然后利用降阶模型(Reduced Order Model,ROM)对流场参数进行反设计,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。该方法还可以成功地应用到翼型反设计问题中,通过修正快照向量,利用基于POD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的得到对应的翼型形状,这极大的简化了翼型的反设计问题。本文分别在跨音速范围对RAE 2822翼型的流场反设计和Korn翼型及NACA 63212翼型的反设计进行了验证,结果表明本文建立的反设计算法准确而且高效,为数值计算和试验协同仿真以及建立数值风洞提供了的一个新思路,为翼型反设计的提供了一个新方法。
关键词: 特征正交分解 降阶模型 跨音速 流场反设计 翼型反设计
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A New Method for Inverse Design of Transonic Flow Field and Airfoil
Abstract:The application of proper orthogonal decomposition (POD) which is an efficient method of data analysis for two dimensional airfoil transonic flow field reconstruction has been proved successfully in this paper. The reduced order model (ROM) for flows has been constructed by using the snap shoot from the knowledge of computational data or experimental data of flows. Based on this ROM, it is possible to reconstruct the entire flow field from the gappy data accurately in the range of snap shoot. Using this approach, another application which is the two dimensional inverse airfoil design based on POD/ROM has been demonstrated successfully. This methodology demonstrates a great simplification for the inverse airfoil design problem. In this paper, the cases of transonic flow field reconstruction of RAE 2822 airfoil and the inverse design of NACA 63212 and Korn airfoil have been simulated. These cases prove that the method of flow field reconstruction and inverse airfoil design based on POD is efficient and utilizable in the range of transonic.
Keywords: Proper Orthogonal Decomposition ROM Transonic Flow Field Reconstruction Inverse Airfoil Design
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