AMGNET: multi-scale graph neural networks for flow field prediction

Solving partial differential equations of complex physical systems is a computationally expensive task, especially in Computational Fluid Dynamics(CFD). This drives the application of deep learning methods in solving physical systems. There exist a few deep learning models that are very successful i...

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Main Authors: Zhishuang Yang, Yidao Dong, Xiaogang Deng, Laiping Zhang
Format: Article
Language:English
Published: Taylor & Francis Group 2022-12-01
Series:Connection Science
Subjects:
Online Access:http://dx.doi.org/10.1080/09540091.2022.2131737
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author Zhishuang Yang
Yidao Dong
Xiaogang Deng
Laiping Zhang
author_facet Zhishuang Yang
Yidao Dong
Xiaogang Deng
Laiping Zhang
author_sort Zhishuang Yang
collection DOAJ
description Solving partial differential equations of complex physical systems is a computationally expensive task, especially in Computational Fluid Dynamics(CFD). This drives the application of deep learning methods in solving physical systems. There exist a few deep learning models that are very successful in predicting flow fields of complex physical models, yet most of these still exhibit large errors compared to simulation. Here we introduce AMGNET, a multi-scale graph neural network model based on Encoder-Process-Decoder structure for flow field prediction. Our model employs message passing of graph neural networks at different mesh graph scales. Our method has significantly lower prediction errors than the GCN baseline on several complex fluid prediction tasks, such as airfoil flow and cylinder flow. Our results show that multi-scale representation learning at the graph level is more effective in improving the prediction accuracy of flow field.
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spelling doaj.art-8c8d90f277314cfb87062bb1da1aff482023-09-15T10:48:01ZengTaylor & Francis GroupConnection Science0954-00911360-04942022-12-013412500251910.1080/09540091.2022.21317372131737AMGNET: multi-scale graph neural networks for flow field predictionZhishuang Yang0Yidao Dong1Xiaogang Deng2Laiping Zhang3Sichuan UniversityNational University of Defense TechnologyAcademy of Military SciencesNational Innovation Institute of Defense TechnologySolving partial differential equations of complex physical systems is a computationally expensive task, especially in Computational Fluid Dynamics(CFD). This drives the application of deep learning methods in solving physical systems. There exist a few deep learning models that are very successful in predicting flow fields of complex physical models, yet most of these still exhibit large errors compared to simulation. Here we introduce AMGNET, a multi-scale graph neural network model based on Encoder-Process-Decoder structure for flow field prediction. Our model employs message passing of graph neural networks at different mesh graph scales. Our method has significantly lower prediction errors than the GCN baseline on several complex fluid prediction tasks, such as airfoil flow and cylinder flow. Our results show that multi-scale representation learning at the graph level is more effective in improving the prediction accuracy of flow field.http://dx.doi.org/10.1080/09540091.2022.2131737flow field predictionalgebraic multigridmulti-scalegnn
spellingShingle Zhishuang Yang
Yidao Dong
Xiaogang Deng
Laiping Zhang
AMGNET: multi-scale graph neural networks for flow field prediction
Connection Science
flow field prediction
algebraic multigrid
multi-scale
gnn
title AMGNET: multi-scale graph neural networks for flow field prediction
title_full AMGNET: multi-scale graph neural networks for flow field prediction
title_fullStr AMGNET: multi-scale graph neural networks for flow field prediction
title_full_unstemmed AMGNET: multi-scale graph neural networks for flow field prediction
title_short AMGNET: multi-scale graph neural networks for flow field prediction
title_sort amgnet multi scale graph neural networks for flow field prediction
topic flow field prediction
algebraic multigrid
multi-scale
gnn
url http://dx.doi.org/10.1080/09540091.2022.2131737
work_keys_str_mv AT zhishuangyang amgnetmultiscalegraphneuralnetworksforflowfieldprediction
AT yidaodong amgnetmultiscalegraphneuralnetworksforflowfieldprediction
AT xiaogangdeng amgnetmultiscalegraphneuralnetworksforflowfieldprediction
AT laipingzhang amgnetmultiscalegraphneuralnetworksforflowfieldprediction