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A comparison study of two multifidelity methods for aerodynamic optimization

机译:两种空气动力学优化保真度方法的比较研究

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Industrial aerodynamic design applications require multiobjective optimization tools able to provide design feedback to the engineers. This is true especially when optimization studies are carried out during the conceptual design stage. The need for fast optimization methods has led to the development of multifidelity methods in a surrogate based optimization environment. Multifidelity tools have the potential to accelerate the design process, primarily due to the lower cost associated with the low fidelity tool. In addition to this, the design stage is shortened as mature and reliable high fidelity design information is provided earlier in the design cycle. Despite this high potential of these methods, there is no explicit comparison available in the literature between multifidelity surrogate based optimization tools for industrial aerodynamic problems. This paper aims at providing a direct comparison between two multiobjective multifidelity surrogate based optimization methods developed by our group. The first approach uses a trust region formulation for efficient multiobjective that does not require gradients. The second is using the concept of expected improvement to perform fast design space exploration based on a novel Kriging modification for multifidelity data. The tools are applied in two aerodynamic design problems: optimization of a high lift configuration in respect to maximum lift maximization and an airfoil design for transonic cruising conditions. These problems feature characteristics of industrial interest. They involve difficult physical analyses in the case of the high lift configuration and a more complex optimization formulation due to the increased dimensionality in the case of the transonic airfoil. Our presented methods are compared against a CFD based optimization, a surrogate based optimization using only high fidelity data and a multifidelity surrogate based optimization based on Co-Kriging. Early results suggest that the trust region method can quickly provide improved designs leading to an efficient pareto front. The expected improvement based method shows fast exploration attributes and a wide pareto front.
机译:工业空气动力学设计应用程序需要能够向工程师提供设计反馈的多目标优化工具。当在概念设计阶段进行优化研究时,尤其如此。对快速优化方法的需求已导致在基于替代的优化环境中开发多保真度方法。主要由于与低保真度工具相关的较低成本,多保真度工具具有加速设计过程的潜力。除此之外,由于在设计周期的早期提供了成熟且可靠的高保真设计信息,因此缩短了设计阶段。尽管这些方法具有很高的潜力,但是在文献中没有针对工业空气动力学问题的基于多保真替代的优化工具之间的明确比较。本文旨在直接比较我们小组开发的两种基于多目标多保真替代的优化方法。第一种方法使用不需要梯度的有效多目标信任区域公式。第二种是使用预期改进的概念,基于针对多保真度数据的新颖Kriging修改来执行快速设计空间探索。这些工具应用于两个空气动力学设计问题:就最大升程最大化而言优化高升程配置,以及跨音速巡航条件下的翼型设计。这些问题具有工业利益的特征。在高升程配置的情况下,它们涉及困难的物理分析,而在跨音速翼型的情况下,由于尺寸增加,它们涉及更复杂的优化公式。将我们提出的方法与基于CFD的优化,仅使用高保真度数据的基于替代的优化以及基于Co-Kriging的基于多保真替代的优化进行了比较。早期结果表明,信任区域方法可以快速提供改进的设计,从而实现有效的Pareto Front。基于预期改进的方法显示出快速的勘探属性和宽泛的前锋。

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