基于高斯过程回归的空天飞行器多精度气动建模方法  

Multi-fidelity aerodynamic modeling method of aerospace vehicles based on Gaussian process regression

作　　者：季廷炜[1] 查旭 谢芳芳 吴雨思 张鑫帅 蒋逸阳 杜昌平[1] 郑耀[1] JI Ting-wei;ZHA Xu;XIE Fang-fang;WU Yu-si;ZHANG Xin-shuai;JIANG Yi-yang;DU Chang-ping;ZHENG Yao(School of Aeronautics and Astronautics,Zhejiang University,Hangzhou 310027,China)

机构地区：[1]浙江大学航空航天学院,浙江杭州310027

出　　处：《浙江大学学报（工学版）》2023年第11期2314-2324,共11页Journal of Zhejiang University：Engineering Science

基　　金：国家自然科学基金资助项目(92271107);浙江省自然科学基金资助项目(LY21A020010);中央高校基本科研业务费资助项目(226-2022-00155).

摘　　要：为了满足空天飞行器在初步设计阶段宽速域、大空域模型的需求,将传统工程估算方法和计算流体动力学(CFD)数值模拟方法分别作为低精度和高精度气动数据来源,基于高斯过程回归模型提出独立于构型的空天飞行器气动性能多精度气动建模方法.在工程估算方法中,以面元法为基础,建立空天飞行器气动力快速估算模型.在CFD数值模拟中通过求解三维可压缩Euler方程实现空天飞行器气动高精度计算.将所提出的多精度气动建模方法应用于FTB外形的双参数气动建模问题中,通过对比分析,发现所提出的多精度气动模型的预测精度、稳定性均优于用同等数量高精度样本构建的单精度代理模型的,预测的相对误差小于1%.将多精度气动模型作为该空天飞行器再入问题气动数据来源,对比分析单、多精度建模方法对再入轨迹仿真的影响,发现所提出的空天飞行器多精度气动建模方法能够更加快速、准确地给出轨迹仿真所需的气动数据.A multi-fidelity aerodynamic modeling method of aerospace vehicles with shape configuration independent was proposed based on Gaussian process regression model,in order to satisfy the demand of full speed domain and large airspace of aerospace vehicle in the preliminary design stage.The traditional engineering estimation method and computational fluid dynamics(CFD)numerical simulation method were treated as the data sources of low-fidelity and high-fidelity aerodynamic characteristics,respectively.Specifically,a fast estimation model for aerodynamics of aerospace vehicles was established by using the panel method in the enigineering estimation method.Then,high-fidelity aerodynamic performance of aerospace vehicles was achieved based on the three-dimensional compressible Euler equations in the CFD numerical simulation.Moreover,the developed multi-fidelity aerodynamic modeling method was validated by the dual-parameter problems of FTB.The prediction accuracy and stability of the developed multi-fidelity aerodynamic model were better than that of the single-fidelity surrogate model with the same number of high-fidelity data points through comparison and analysis.Meanwhile,the relative error of prediction was less than 1%.The multi-fidelity aerodynamic model was used as the source of aerodynamic data for the reentry problem of the aerospace vehicle,and the influence of single fidelity and multi-fidelity modeling methods on the simulation of re-entry trajectory was compared and analyzed.Results show that the proposed multi-fidelity aerodynamic model can fast provide a high accurate aerodynamic data required from trajectory simulation.

关 键 词：空天飞行器 气动性能分析 多精度 数值模拟 高斯过程回归 

分 类 号：V411.8[航空宇航科学与技术—航空宇航推进理论与工程]