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Aerodynamic Shape Optimization by Variable-fidelity Models and Gradient-Enhanced Manifold Mapping

机译:可变保真度模型和梯度流形映射优化空气动力学形状

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This paper describes an extension to the manifold mapping (MM) optimization algorithm for aerodynamic shape design to include gradients through the calculation of adjoint sensitivities. The gradient information is used to enhance the MM surrogate, and to speed up the optimization process. Moreover, the addition of gradients based on adjoint sensitivity allows for handling of large-dimensional design spaces. The gradient-enhanced manifold mapping (GMM) algorithm replaces the direct optimization of a computationally expensive model by an iterative updating and re-optimization of a fast physics-based replacement surrogate model. During the optimization process the GMM surrogate is constructed using a low-fidelity model which is corrected using high-fidelity data (evaluated once per design iteration). The performance of the method is demonstrated on a benchmark case involving drag minimization in two-dimensional transonic inviscid flow. For the demonstration case, the results show that GMM obtains comparable designs as MM with 70% less computing time.
机译:本文介绍了一种用于空气动力学形状设计的歧管映射(MM)优化算法的扩展,以通过计算伴随敏感度来包括梯度。梯度信息用于增强MM替代,并加快优化过程。而且,基于伴随灵敏度的梯度相加允许处理大型设计空间。梯度增强流形映射(GMM)算法通过快速更新基于物理的替代模型的迭代更新和重新优化,替代了计算量巨大的模型的直接优化。在优化过程中,使用低保真度模型构造GMM代理,该模型使用高保真度数据进行校正(每个设计迭代评估一次)。该方法的性能在涉及二维跨音速无粘性流的阻力最小化的基准情况下得到了证明。对于演示案例,结果表明,GMM获得了与MM相当的设计,而计算时间却减少了70%。

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