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Sensitivity and Stability Derivative Analysis using an Efficient Adjoint Harmonic Balance Technique

机译:使用高效伴随谐波平衡技术的灵敏度和稳定性导数分析

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Sensitivity and stability derivative analysis using an adjoint harmonic balance technique is presented. A nominal flow solver based on the Reynolds Averaged Navier-Stokes equations is used to find stability derivatives through a time spectral stability derivative approach. The nominal solver is adjointed with the aid of Tapenade, a source code transformation automatic differentiation tool, resulting in an adjoint solver with a computational cost roughly three times that of the nominal solver, regardless of the number of design variables considered. The adjoint sensitivities are used to match numerical to experimental results, study mesh convergence, and lay the groundwork for design optimization. In particular, sensitivities are computed of stability derivatives and flow variables with respect to input and shape design variables. This analysis is a precursor to aeroelastic and stability design optimization.
机译:提出了使用伴随谐波平衡技术的灵敏度和稳定性导数分析。基于雷诺平均Navier-Stokes方程的标称流量求解器用于通过时间谱稳定性导数方法来找到稳定性导数。标称求解器在源代码转换自动微分工具Tapenade的辅助下,无论考虑多少设计变量,其伴随的计算量约为标称求解器的三倍。伴随灵敏度用于将数值与实验结果进行匹配,研究网格收敛,并为设计优化奠定基础。特别地,针对输入和形状设计变量计算稳定性导数和流量变量的灵敏度。该分析是进行空气弹性和稳定性设计优化的先决条件。

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