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基于卡尔曼滤波的湍流数据同化耦合方式研究

A STUDY ON KALMAN-FILTER-BASED COUPLING STRATEGY FOR TURBULENCE DATA ASSIMILATION

  • 摘要: 航空航天复杂分离流动的精确预测是飞行器设计中的重要难题, 数据同化为融合实验测量与数值模拟、提高流场反演精度提供了有效途径. 基于卡尔曼滤波方法, 分别针对全流场涡黏分布、S-A模型参数及S-A模型生成项修正因子β场分布进行数据同化, 系统比较了单向耦合与双向耦合两种方式对计算精度与稳定性的影响. 为了验证不同耦合方式的有效性, 以S809和DU91-W2-250两种典型翼型为测试算例, 在其大攻角分离流动状态下, 对比了压力系数分布、升力系数误差及流场结构. 结果表明: 相比于标准S-A模型, 3种同化方法均能有效融合实验数据, 显著提高流场反演的精度; 其中单向耦合的方式在复杂工况下易出现数值振荡, 而双向耦合方式通过湍流模型与N-S方程的迭代反馈, 展现出更优的收敛速度和数值稳定性, 在复杂流动条件下仍能保持计算收敛, 验证了数据同化中双向耦合方式在反演复杂湍流场中的优越性. 为湍流数据同化方法的工程化应用提供了方法参考和数值验证基础.

     

    Abstract: The accurate prediction of complex separated flows in aerospace engineering remains a significant challenge in modern aircraft design. Data assimilation provides an effective approach for integrating experimental measurements and numerical simulations in order to improve the accuracy of flow-field reconstruction. In this study, a Kalman filtering method is employed to assimilate turbulence information, including full-field eddy-viscosity distributions, Spalart–Allmaras(S-A) model parameters, and the correction factor β in the production term of the S-A model. Both one-way and two-way coupling strategies are developed and systematically compared to evaluate their influence on computational accuracy and numerical stability. To verify the effectiveness of different coupling approaches, two typical airfoils, S809 and DU91-W2-250, are selected as test cases, and simulations are performed under large-angle-of-attack separated-flow conditions. The pressure-coefficient distribution, lift-coefficient errors, and flow-field structures are analyzed and compared with experimental results. The results show that all three assimilation strategies can successfully integrate experimental data and significantly improve the accuracy of flow-field reconstruction compared with the standard S-A model. However, the one-way coupling approach tends to generate numerical oscillations under complex flow conditions, which may lead to unstable convergence. In contrast, the two-way coupling method, through iterative feedback between the turbulence model and the Navier–Stokes equations, exhibits faster convergence and better numerical robustness. It is capable of maintaining stable solutions even in highly separated flow regimes, demonstrating its superiority in reconstructing complex turbulent flows. This work provides methodological guidance and numerical evidence for the engineering application of turbulence data-assimilation techniques.

     

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