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    彭浩然, 胡贵华. 基于物理信息深度学习算法的Flame D热流场重构研究[J]. 华东理工大学学报(自然科学版). DOI: 10.14135/j.cnki.1006-3080.20231227002
    引用本文: 彭浩然, 胡贵华. 基于物理信息深度学习算法的Flame D热流场重构研究[J]. 华东理工大学学报(自然科学版). DOI: 10.14135/j.cnki.1006-3080.20231227002
    PENG Haoran, HU Guihua. Reconstruction of Flame D Heat Flow Field Based on Physical Information Deep Learning Algorithm[J]. Journal of East China University of Science and Technology. DOI: 10.14135/j.cnki.1006-3080.20231227002
    Citation: PENG Haoran, HU Guihua. Reconstruction of Flame D Heat Flow Field Based on Physical Information Deep Learning Algorithm[J]. Journal of East China University of Science and Technology. DOI: 10.14135/j.cnki.1006-3080.20231227002

    基于物理信息深度学习算法的Flame D热流场重构研究

    Reconstruction of Flame D Heat Flow Field Based on Physical Information Deep Learning Algorithm

    • 摘要: 尽管数值模拟方法在求解流体动力学的湍流过程中发展迅速,但面对复杂的几何形状和流动过程的情况下,在准确建模、计算速度等问题上仍然具有挑战性。针对当前在计算流体力学(Computational Fluid Dynamics,CFD)上存在的计算代价大等问题,本文在传统的湍流数值模拟技术的基础上,与机器学习领域相结合,以经典的Sandia Flame D燃烧模型为例,通过引入物理信息的深度学习算法,建立物理信息神经网络架构(Physics-informed neural network,PINN),将符合规律的物理信息内嵌到神经网络,使得用小样本就能实现参数的流场重构。在平面维度上,分别对PINN和数据驱动方法重构的结果,与CFD软件仿真结果进行对比分析,其中PINN方法在训练集大小不及样本点总数一半的情况下,即可得到数据驱动方法在大样本情况下重构的结果,重构出燃烧过程在t=1 s时刻的轴向、径向速度以及温度的L2相对误差分别为0.187%、1.194%,0.071%,且在训练集占样本点总数的55%、70%、82%的情况下,PINN方法均比数据驱动方法误差更小。在时间维度上,成功重构t=0.3、0.5、1 s时刻的轴向速度云图,证明PINN方法能够重构出几何模型采样时间范围内任意时刻的物理场分布云图。

       

      Abstract: Although numerical simulation methods have developed rapidly in solving turbulent processes in fluid dynamics, they still pose challenges in accurately modeling and computing speed when faced with complex geometric shapes and flow processes. In response to the current high computational cost issues in Computational Fluid Dynamics (CFD), this paper combines traditional turbulence numerical simulation techniques with the field of machine learning. Taking the classic Sandia Flame D combustion model as an example, by introducing deep learning algorithms of physical information, a Physical Information Neural Network (PINN) architecture is established, Embed the physical information that conforms to the rules into the neural network, so that parameter flow field reconstruction can be achieved with small samples. On the plane dimension, the reconstruction results of PINN and data-driven methods were compared and analyzed with the simulation results of CFD software. The PINN method can obtain the reconstruction results of data-driven methods in large sample situations when the training set size is less than half of the total number of sample points. The L2 relative errors of the reconstructed axial and radial velocities and temperatures of the combustion process at t=1s were 0.187%, 1.194%, and 0.071%, respectively, And when the training set accounts for 55%, 70%, and 82% of the total number of sample points, the PINN method has smaller errors than data-driven methods. In terms of time dimension, the axial velocity cloud maps at t=0.3s, 0.5s, and 1s were successfully reconstructed, proving that the PINN method can reconstruct the physical field distribution cloud map at any time within the sampling time range of the geometric model.

       

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