基于物理量梯度修正的RBF数据传递方法

doi:10.7527/S1000-6893.2020.24506

流体力学与飞行力学

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基于物理量梯度修正的RBF数据传递方法

刘智侃¹, 刘深深^1,2, 刘骁¹, 曾磊¹, 代光月¹

1. 中国空气动力研究与发展中心计算空气动力研究所, 绵阳 621000;
2. 中国空气动力研究与发展中心空气动力学国家重点实验室, 绵阳 621000

收稿日期:2020-07-09 修回日期:2020-08-18 发布日期:2020-09-14
通讯作者: 刘深深 E-mail:lsssml1990@126.com
基金资助:
国家自然科学基金（11702315）；国家数值风洞工程

RBF data transfer based on physical gradient modification

LIU Zhikan¹, LIU Shenshen^1,2, LIU Xiao¹, ZENG Lei¹, DAI Guangyue¹

1. Computational Aerodynamics Institute, China Aerodynamics Research and Development Center, Mianyang 621000, China;
2. State Key Laboratory of Aerodynamics, China Aerodynamics Research and Development Center, Mianyang 621000, China

Received:2020-07-09 Revised:2020-08-18 Published:2020-09-14
Supported by:
National Natural Science Foundation of China (11702315); National Numerical Wind Tunnel Project

摘要/Abstract

摘要： 径向基函数是复杂外形飞行器多场耦合计算中重要的数据传递方法。复杂飞行器物理量分布通常与局部流动特征密切相关且在不同区域变化剧烈，如何在具备各向同性特征的径向基函数中考虑实际物理量各向异性分布因素的影响成为制约其精度进一步提升的关键。针对径向基函数的问题，提出了一种基于局部物理量梯度对径向基三方向权重进行自适应修正的数据传递新方法。采用高超声速舵面、翼身组合体算例对该方法在单次数据传递中的可行性及效果进行了验证，同时基于该方法对压缩拐角外形开展了气动力/热/结构多场耦合数值模拟，并与风洞试验结果进行了对比分析，以验证该方法在实际耦合问题计算长时间高频次数据传递中的适用性及可靠性。研究结果表明该方法能够很好地提升如薄板样条插值（TPS）、多重二次函数插值（MQ）等全域基函数的单次插值效果，并且有效地改进了MQ方法对形态参数的鲁棒性，而对于梯度修正后的紧支基函数，其改进效果更佳，以较少的点达到了TPS、MQ等全域基函数的插值效果，实现了数据传递效率和精度的兼顾。采用该方法获得的耦合计算结果与试验对比一致，表明了该方法的可用性以及在复杂外形多场耦合问题中的良好工程应用前景。

关键词: 多场耦合, 数据传递, 径向基函数, 梯度修正, 高超声速飞行器, 风洞试验

Abstract: The radial basis function is an important data transfer method in the multi-physical field coupling calculation of complex shaped aircraft. The distribution of physical quantities of complex aircraft, usually closely related to local flow characteristics, changes drastically in different regions. How to consider the influence of the anisotropic distribution of actual physical quantities in the radial basis function with isotropic characteristics has become the key to improving its accuracy. Aiming at the problem of the radial basis function, this paper proposes a new method for data transfer based on the local physical gradient to adaptively modify the radial basis weight in three directions. Using the hypersonic control surface and wing body combination to verify the feasibility and effect of this method in a single data transfer, we carry out aerodynamic/thermal/structural multi-physical field coupling for the compression corner shape, and compare it with the wind tunnel test results to verify the applicability and reliability of the method in the long-term high-frequency data transmission of the actual coupling problem. The results show that this method can improve the single interpolation effect of Thin Plate Spline(TPS), Multiquadric (MQ) and other global basis functions, and effectively improve the robustness of the MQ method for morphological parameters. The improvement of the compact support basis function after gradient modification has accomplished the effect of the global basis function, such as TPS and MQ, with fewer selected points and achieved better efficiency and accuracy of data transfer. The coupling calculation results obtained by this method are consistent with the experimental data, indicating the availability of this method and the good engineering application prospects in the complex shaped multi-physical field coupling problem.

Key words: multi-physical field coupling, data transfer, radial basis function, modification of physical gradient, hypersonic aircraft, wind tunnel test

中图分类号:

V211.3

刘智侃, 刘深深, 刘骁, 曾磊, 代光月. 基于物理量梯度修正的RBF数据传递方法[J]. 航空学报, 2021, 42(7): 124506-124506.

LIU Zhikan, LIU Shenshen, LIU Xiao, ZENG Lei, DAI Guangyue. RBF data transfer based on physical gradient modification[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(7): 124506-124506.

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基于物理量梯度修正的RBF数据传递方法

RBF data transfer based on physical gradient modification

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