Graph neural network structural limitation for thermal simulation and architecture optimization through rating system
Abstract Graph neural networks are well suited for physics based simulation. Among other features, graphs can accurately represent thermal effects, with energy conservation operating on the nodes (vertices) and heat flow coursing through edges. Moreover, graph neural networks incorporate the data to...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-08-01
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| Series: | Advanced Modeling and Simulation in Engineering Sciences |
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| Online Access: | https://doi.org/10.1186/s40323-025-00306-5 |
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| _version_ | 1849226052528766976 |
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| author | Pierre Hembert Chady Ghnatios Julien Cotton Francisco Chinesta |
| author_facet | Pierre Hembert Chady Ghnatios Julien Cotton Francisco Chinesta |
| author_sort | Pierre Hembert |
| collection | DOAJ |
| description | Abstract Graph neural networks are well suited for physics based simulation. Among other features, graphs can accurately represent thermal effects, with energy conservation operating on the nodes (vertices) and heat flow coursing through edges. Moreover, graph neural networks incorporate the data topology and allow simulation on a wide variety of geometries. In this paper, various graph neural networks are trained using analytical solutions to the transient heat equation. Several architectures and hyper-parameters are compared to empirically identify good practices when using a graph neural network for numerical simulation. In addition, a novel method to optimize the network architecture is proposed. It is based on rating systems used to evaluate players’ skill level in competitive games. The results show that graph neural network-based simulation shares mutual restrictions with classical discretizations techniques (such as the Von Neumann stability criterion) and also that graph neural networks can be a potent generalization tool for heat transfer problems. |
| format | Article |
| id | doaj-art-37fbae05984e48eab4ac960c03779984 |
| institution | Kabale University |
| issn | 2213-7467 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advanced Modeling and Simulation in Engineering Sciences |
| spelling | doaj-art-37fbae05984e48eab4ac960c037799842025-08-24T11:41:00ZengSpringerOpenAdvanced Modeling and Simulation in Engineering Sciences2213-74672025-08-0112113010.1186/s40323-025-00306-5Graph neural network structural limitation for thermal simulation and architecture optimization through rating systemPierre Hembert0Chady Ghnatios1Julien Cotton2Francisco Chinesta3PIMM Laboratory, Arts et Metiers Institute of TechnologyDepartment of Mechanical Engineering, University of North FloridaAndra, French National Radioactive Waste Management AgencyPIMM Laboratory, Arts et Metiers Institute of TechnologyAbstract Graph neural networks are well suited for physics based simulation. Among other features, graphs can accurately represent thermal effects, with energy conservation operating on the nodes (vertices) and heat flow coursing through edges. Moreover, graph neural networks incorporate the data topology and allow simulation on a wide variety of geometries. In this paper, various graph neural networks are trained using analytical solutions to the transient heat equation. Several architectures and hyper-parameters are compared to empirically identify good practices when using a graph neural network for numerical simulation. In addition, a novel method to optimize the network architecture is proposed. It is based on rating systems used to evaluate players’ skill level in competitive games. The results show that graph neural network-based simulation shares mutual restrictions with classical discretizations techniques (such as the Von Neumann stability criterion) and also that graph neural networks can be a potent generalization tool for heat transfer problems.https://doi.org/10.1186/s40323-025-00306-5Graph neural networkThermal simulationMesh convergenceMesh parametersRating systemArchitecture optimization |
| spellingShingle | Pierre Hembert Chady Ghnatios Julien Cotton Francisco Chinesta Graph neural network structural limitation for thermal simulation and architecture optimization through rating system Advanced Modeling and Simulation in Engineering Sciences Graph neural network Thermal simulation Mesh convergence Mesh parameters Rating system Architecture optimization |
| title | Graph neural network structural limitation for thermal simulation and architecture optimization through rating system |
| title_full | Graph neural network structural limitation for thermal simulation and architecture optimization through rating system |
| title_fullStr | Graph neural network structural limitation for thermal simulation and architecture optimization through rating system |
| title_full_unstemmed | Graph neural network structural limitation for thermal simulation and architecture optimization through rating system |
| title_short | Graph neural network structural limitation for thermal simulation and architecture optimization through rating system |
| title_sort | graph neural network structural limitation for thermal simulation and architecture optimization through rating system |
| topic | Graph neural network Thermal simulation Mesh convergence Mesh parameters Rating system Architecture optimization |
| url | https://doi.org/10.1186/s40323-025-00306-5 |
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