Efficient Flow Field Reconstruction Based on Ensemble Transform Kalman Filter
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摘要: 湍流场的准确估计在航空航天领域具有重要意义,现有的获取手段在分辨率或者准确性方面是不足的。实验测量准确却往往测点数量有限,数值计算能获得全场数据,但精度却难以保障。数据同化方法融合了实验观测和数值模拟,是进行流场重构的有效工具。文章探索了基于集合变换Kalman滤波(ensemble transform Kalman filter,ETKF)的数据同化方法在空间流场重构方面的有效性,并讨论了不同迭代更新模式的重构精度和计算效率,即状态变量基于湍流模型更新的ETKF-M和基于流场数据更新的ETKF-D。以ONERA M6机翼作为数值算例,结合风洞实验翼型表面271测压孔的压力测量数据进行算法实验,结果表明ETKF方法的不同迭代模式均有效修正了湍流模型的预测,并且ETKF-D相对于ETKF-M提升了83%的计算效率。此外,选取两组不同位置的1/4实验测点进行同化实验,得到不同精度的结果,这表明重构的精度与同化测点的位置和数量密切相关。
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关键词:
- 数据同化 /
- 集合变换Kalman滤波 /
- 流场重构
Abstract: Accurate estimation of turbulence field is of great importance in aerospace, and existing means of obtaining turbulence field is inadequate in terms of resolution or accuracy. Experimental measurements are accurate but often have a limited number of observation points, and numerical computations can obtain full-field data but the accuracy is difficult to guarantee. The data assimilation method integrates experimental observation and numerical simulation, which is an effective tool for flow field reconstruction. This paper explored the effectiveness of data assimilation method based on ensemble transform Kalman filter(ETKF) in spatial flow field reconstruction, and also discussed the reconstruction accuracy and computational efficiency of different iterative updates, namely ETKF-M and ETKF-D, which update state variables based on turbulence model and flow field data respectively. Using the ONERA M6 airfoil as a numerical example, the algorithm was experimented by combining the pressure measurement data from 271 pressure holes on the airfoil surface from the wind tunnel test. The results show that different iterative updates of ETKF method can effectively modify the prediction of the turbulence model, and the ETKF-D improves the computational efficiency by 83% compared with the ETKF-M. In addition, two groups of 1/4 experimental observation points at different locations were selected for assimilation experiments, and results with different accuracies were obtained. It indicates that the accuracy of reconstruction is closely related to the location and number of assimilated observation points. -
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