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Aeroelastic Flutter Prediction using Multi-fidelity Modeling of the Aerodynamic Influence Coefficients

机译:使用气动影响系数的多保真度建模进行气动弹性颤振预测

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This work proposes a multi-fidelity modeling approach for predicting aeroelastic flutter of airfoil and wing shapes. Using aerodynamic models based on the doublet lattice method (DLM) and time-accurate Euler equations, cokriging-based surrogates of the aerodynamic influence coefficients (AICs) are generated as functions of Mach number and reduced frequency. The surrogate-based AICs are then used in the p-k method to determine flow conditions with zero aeroelastic damping. To demonstrate the multi-fidelity process, a popular pitching and plunging airfoil case is considered. Verification of the approach is done by comparing with results from FUN3D's internal aeroelastic solver, as well as data from the literature. Results demonstrate the advantages of using multi-fidelity cokriging in relation to kriging models employing the same high-fidelity training data. These advantages are especially clear when using very few high-fidelity samples, where the cokriging approach matches the high-fidelity trend significantly better, while also improving more consistently as the number of training samples is increased. Challenges associated with the AIC nonlinearity are also addressed by examining flow conditions with and without a shock.
机译:这项工作提出了一种用于预测翼型和机翼形状的气动弹性颤振的多保真度建模方法。使用基于二重晶格方法(DLM)和时间精确的Euler方程的空气动力学模型,生成了基于协同克里格的空气动力学影响系数(AIC)的替代物,作为马赫数和降低频率的函数。然后,在p-k方法中使用基于代理的AIC来确定具有零气动弹性阻尼的流动条件。为了演示多保真度过程,考虑了一种流行的俯仰和俯冲式机翼盒。通过与FUN3D内部气动弹性求解器的结果以及来自文献的数据进行比较,对方法进行了验证。结果表明,相对于采用相同高保真训练数据的克里格模型,使用多保真共克里格模型具有优势。当使用很少的高保真样本时,这些优势尤其明显,在这种情况下,cokriging方法与高保真趋势明显更好地匹配,同时随着训练样本数量的增加,一致性也得到了持续改善。与AIC非线性相关的挑战也可以通过检查有无冲击的流动条件来解决。

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