基于稀疏贝叶斯优化的翼型设计可解释性研究

Research on interpretability of airfoil design based on sparse Bayesian optimization

  • 摘要: 贝叶斯优化框架具有优化效率高、效果好等特点,适合解决高维黑盒优化问题,适用于飞机翼型设计领域。然而其优化过程不透明,难以直观理解机器优化结果和翼型典型物理特征之间的联系,如何解释贝叶斯优化进程仍然是一个挑战。针对这一问题,本文提出了一种基于稀疏贝叶斯优化框架的翼型优化可解释性方法,使用具有物理意义的典型几何特征参与优化进程,在贝叶斯优化过程中对翼型特征进行稀疏,同时获得可解释性信息。在以RAE2822为基准翼型的超临界翼型优化算例上验证该方法。实验结果表明,该方法在优化气动性能的同时尽可能地减少了翼型设计维度,使其在保证气动性能良好的情况下具备了一定的可解释性,能直观地了解翼型各参数对优化目标的影响程度,辅助翼型设计人员进行决策和判断。

     

    Abstract: The Bayesian optimization framework has the characteristics of high optimization efficiency and good optimization effect, which is suitable for solving high-dimensional black-box optimization problems, i.e., in the field of airfoil design. However, due to the opacity of the optimization process, it is difficult to intuitively understand the relationship between the machine optimization results and typical physical characteristics of the airfoil. Therefore, how to interpret the Bayesian optimization process is still a challenge. To solve this problem, an airfoil optimization interpretability method based on the sparse Bayesian optimization framework is proposed, which utilizes typical geometric features of physical significance in the optimization process. During the process of Bayesian optimization, the airfoil features are sparse, and interpretability information is obtained. The proposed method is verified using the example of supercritical airfoil optimization with RAE2822 as the reference airfoil. The experimental results show that the proposed method reduces the airfoil design dimension as much as possible, and makes the data explainable to a certain extent while ensuring good aerodynamic performance, which can help intuitively understand the influence degree of airfoil parameters on the optimization objective and assist designers to make decision and judgment during the airfoil design.

     

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