A flow feature detection method for modeling pressure distribution around a cylinder in non-uniform flows by using a convolutional neural network

In a myriad of engineering situations, we often hope to establish a model which can acquire load conditions around structures through flow features detection. A data-driven method is developed to predict the pressure on a cylinder from velocity distributions in its wake flow. The proposed deep learning neural network is constituted with convolutional layers and fully–connected layers: The convolutional layers can process the velocity information by features extraction, which are gathered by the fully-connected layers to obtain the pressure coefficients. By comparing the output data of the typical network with Computational Fluid Dynamics (CFD) results as reference values, it suggests that the present convolutional neural network (CNN) is able to predict the pressure coefficient in the vicinity of the trained Reynolds numbers with various inlet flow profiles and achieves a high overall precision. Moreover, a transfer learning approach is adopted to preserve the feature detection ability by keeping the parameters in the convolutional layers unchanged while shifting parameters in the fully-connected layers. Further results show that this transfer learning network has nearly the same precision while significantly lower cost. The active prospects of convolutional neural network in fluid mechanics have also been demonstrated, which can inspire more kinds of loads prediction in the future.

[1]  Heng Xiao,et al.  Data-Driven, Physics-Based Feature Extraction from Fluid Flow Fields using Convolutional Neural Networks , 2018, Communications in Computational Physics.

[2]  Nobuyuki Umetani,et al.  Learning three-dimensional flow for interactive aerodynamic design , 2018, ACM Trans. Graph..

[3]  Liang Deng,et al.  A CNN-based shock detection method in flow visualization , 2019, Computers & Fluids.

[4]  Rob Fergus,et al.  Visualizing and Understanding Convolutional Networks , 2013, ECCV.

[5]  Zhen Zhang,et al.  Application of deep learning method to Reynolds stress models of channel flow based on reduced-order modeling of DNS data , 2018, Journal of Hydrodynamics.

[6]  Brendan D. Tracey,et al.  Application of supervised learning to quantify uncertainties in turbulence and combustion modeling , 2013 .

[7]  Geoffrey E. Hinton,et al.  ImageNet classification with deep convolutional neural networks , 2012, Commun. ACM.

[8]  Xi-Yun Lu,et al.  Sedimentation of an ellipsoidal particle in narrow tubes , 2014 .

[9]  Hui Li,et al.  Prediction model of velocity field around circular cylinder over various Reynolds numbers by fusion convolutional neural networks based on pressure on the cylinder , 2018 .

[10]  J. MacQueen Some methods for classification and analysis of multivariate observations , 1967 .

[11]  Martín Abadi,et al.  TensorFlow: Large-Scale Machine Learning on Heterogeneous Distributed Systems , 2016, ArXiv.

[12]  Jian Sun,et al.  Spatial Pyramid Pooling in Deep Convolutional Networks for Visual Recognition , 2015, IEEE Trans. Pattern Anal. Mach. Intell..

[13]  Michael I. Jordan,et al.  Deep Transfer Learning with Joint Adaptation Networks , 2016, ICML.

[14]  Andrew Zisserman,et al.  Very Deep Convolutional Networks for Large-Scale Image Recognition , 2014, ICLR.

[15]  C. Norberg Flow around a Circular Cylinder: Aspects of Fluctuating Lift , 2001 .

[16]  J. Templeton,et al.  Reynolds averaged turbulence modelling using deep neural networks with embedded invariance , 2016, Journal of Fluid Mechanics.

[17]  Geoffrey E. Hinton,et al.  Deep Learning , 2015, Nature.

[18]  R. Rannacher,et al.  Benchmark Computations of Laminar Flow Around a Cylinder , 1996 .

[19]  Jinlong Wu,et al.  Physics-informed machine learning approach for reconstructing Reynolds stress modeling discrepancies based on DNS data , 2016, 1606.07987.