Multi-fidelity aerodynamic modeling method based on GPR model

Luo Xi; Huang Jun; Tang Lei; Wang Qingfeng

doi:10.7638/kqdlxxb-2024.0192

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Multi-fidelity aerodynamic modeling method based on GPR model

更新时间：2026-05-28

- Multi-fidelity aerodynamic modeling method based on GPR model
- Vol. 44, Issue 3, Pages: 22-34(2026)
- 作者机构：
  
  1. 西南科技大学计算机科学与技术学院,绵阳,621010
  2. 西南科大四川天府新区创新研究院,成都,610299
- 作者简介：
- 基金信息：
- DOI：10.7638/kqdlxxb-2024.0192
  CLC： V211.3
- Published：2026
- 稿件说明：
移动端阅览
罗希, 黄俊, 唐磊, 等. 基于GPR模型的多保真气动力建模方法[J]. 空气动力学学报, 2026, 44(3): 22−34.

Luo Xi, Huang Jun, Tang Lei, et al. Multi-fidelity aerodynamic modeling method based on GPR model[J]. 2026, 44(3): 22-34.
罗希, 黄俊, 唐磊, 等. 基于GPR模型的多保真气动力建模方法[J]. 空气动力学学报, 2026, 44(3): 22−34. DOI： 10.7638/kqdlxxb-2024.0192

Luo Xi, Huang Jun, Tang Lei, et al. Multi-fidelity aerodynamic modeling method based on GPR model[J]. 2026, 44(3): 22-34. DOI： 10.7638/kqdlxxb-2024.0192.

摘要

通过整合不同保真度的数据，多保真气动力建模能够有效提升飞行器气动特性分析的计算效率和预测精度。为了更好处理高低保真数据之间同时存在的线性和非线性的混合复杂相关性，本文在非线性自回归高斯过程（nonlinear autoregressive Gaussian process

NARGP）模型的基础上，提出了一种新的多保真高斯过程回归模型（multi-fidelity Gaussian process regressive

MFGPR）。该模型通过结合线性核函数和非线性核函数，扩展了NARGP的能力，能够同时处理多保真数据中复杂的非线性关系和线性依赖性。为验证MFGPR的有效性，本文选取两类经典解析函数进行数值测试，并与Cokriging、NARGP和MFDNN三种传统多保真方法进行了对比分析。结果表明，在处理线性相关关系时，MFGPR的预测性能与CoKriging基本一致；而在非线性相关关系建模中，MFGPR相较于其他三种方法表现出更高的预测精度，同时在建模效率方面更具优势。进一步地，本文将MFGPR应用于ONERA M6机翼的压力分布预测和NACA2414翼型的阻力系数预测问题上，验证了其在气动力建模中的应用潜力和优越性能。

Abstract

Accurate aerodynamic characterization is crucial for optimizing aircraft design and enhancing flight performance. Multi-fidelity modeling approaches improve aerodynamic prediction accuracy and computational efficiency by integrating data from various fidelity levels. To better handle the complex mixed linear and nonlinear correlations coexisting between high- and low-fidelity data

this paper proposes a new multi-fidelity Gaussian process regression (MFGPR) model based on the nonlinear autoregressive Gaussian process (NARGP) framework. By integrating linear and nonlinear kernel functions

the proposed model extends the capabilities of NARGP

enabling it to simultaneously capture complex nonlinear relationships and linear dependencies within multi-fidelity data. To validate the effectiveness of the MFGPR method

two classes of classic analytical functions were selected for numerical testing

and a comparative analysis was performed against three traditional multi-fidelity methods: Cokriging

NARGP

and MFDNN. The results indicate that in handling linear correlations

the prediction performance of MFGPR is consistent with that of CoKriging. Conversely

in modeling nonlinear correlations

MFGPR demonstrates higher prediction accuracy than the other three methods

while offering a clear advantage in modeling efficiency. Furthermore

MFGPR was applied to predict the pressure distribution of the ONERA M6 wing and the drag coefficient of the NACA2414 airfoil

verifying its potential application and superior performance in aerodynamic modeling.

关键词

Keywords

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