论文标题
深度卷积的复发自动编码器用于流场预测
Deep Convolutional Recurrent Autoencoders for Flow Field Prediction
论文作者
论文摘要
在本文中,根据卷积复发自动编码器网络提供了端到端的非线性模型还原方法。该方法是在本文中提出的总体数据驱动的减少阶模型框架的背景下开发的。方法论背后的基本思想是通过卷积神经网络获得低维表示,并通过时域中的复发神经网络发展这些低维特征。高维表示是通过转型卷积神经网络从进化的低维特征构建的。通过无监督的训练策略,该模型是可以发展非线性动力系统流量的端到端工具。首次将卷积复发自动编码器网络模型应用于流过悬崖车体的问题。为了证明该方法的有效性,在本文中探索了两个规范问题,即经过普通圆柱体的流量和并排圆柱体的流动。将来通过卷积复发自动编码器模型预测了不稳定流量的压力和速度场。对于两个问题,模型的性能都是令人满意的。具体而言,拟议的数据驱动模型还原方法捕获了并排圆柱体的多尺度和间隙流动动力学。误差指标,归一化平方误差和归一化重建误差被考虑用于评估数据驱动的框架。
In this paper, an end-to-end nonlinear model reduction methodology is presented based on the convolutional recurrent autoencoder networks. The methodology is developed in the context of the overall data-driven reduced-order model framework proposed in the paper. The basic idea behind the methodology is to obtain the low dimensional representations via convolutional neural networks and evolve these low dimensional features via recurrent neural networks in the time domain. The high dimensional representations are constructed from the evolved low dimensional features via transpose convolutional neural networks. With an unsupervised training strategy, the model serves as an end to end tool which can evolve the flow state of the nonlinear dynamical system. The convolutional recurrent autoencoder network model is applied to the problem of flow past bluff bodies for the first time. To demonstrate the effectiveness of the methodology, two canonical problems namely the flow past a plain cylinder and the flow past side-by-side cylinders are explored in this paper. Pressure and velocity fields of the unsteady flow are predicted in future via the convolutional recurrent autoencoder model. The performance of the model is satisfactory for both the problems. Specifically, the multiscale nature and the gap flow dynamics of the side-by-side cylinders are captured by the proposed data-driven model reduction methodology. The error metrics, the normalized squared error, and the normalized reconstruction error are considered for the assessment of the data-driven framework.