基于稀疏数据的流场结构重构方法研究

Research on Flow Field Structure Prediction Method Driven by Physical Information

  • 摘要: 无论是基于数值模拟还是物理实验,高精度流场数据的获取数量都极为有限,并且往往伴随着高昂的成本. 现有方法无法通过有限数据重构出更加精细的流场结构,这极大地制约了相关气/水动相关工程问题的设计精度与设计效率. 物理信息驱动型神经网络框架的提出,使得传统数据驱动型神经网络无法处理稀疏的问题在一定程度上得到解决. 文中以物理信息驱动型神经网络框架为基础,发展了基于稀疏数据的流场结构重构方法,通过耦合流场物理信息,利用少量数据训练神经网络并输出全流场数据. 通过分析重构流场的水动力特性与涡脱落特性,揭示了物理信息驱动型神经网络的预测误差机理,讨论了该方法对不同流场结构的预测能力. 结果表明,物理信息驱动型神经网络通过耦合NS方程,仅利用极其有限的流场数据即可实现对全流场的高精度重构,对流场涡结构也能实现较为精准捕捉.

     

    Abstract: Whether it is based on numerical simulation or physical experiments, the acquisition of high-precision flow field data is not only extremely limited, but also often accompanied by high costs. Existing methods cannot reconstruct a more refined flow field structure with limited data, which greatly restricts the design accuracy and design efficiency of related gas/hydrodynamic engineering problems. The proposed physics-informed neural network (PINN) framework can make the dilemma solved to a certain extent for the traditional data-driven neural network cannot deal with the sparse problem. In this paper, a sparse data-driven flow field reconstruction method was developed based on the PINN framework. Firstly, coupling physical information with the neural network and utilizing a small amount of data for training, the method was arranged to be able to output complete flow field data. Then, the prediction error mechanism was revealed, and the prediction ability of the method for different structural flow fields was discussed. The results show that, using only extremely limited flow field data, coupling NS equation, the physical information-driven neural network can achieve high-precision reconstruction of the entire flow field, and the vortex structure of the convective field can also be captured accurately.

     

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