A novel Trunk Branch-net PINN for flow and heat transfer prediction in porous medium

Fuente: arXiv
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Autores principales: Xing, Haoyun, Jin, Kaiyan, Yao, Guice, Zhao, Jin, Xu, Dichu, Wen, Dongsheng
Formato: Preprint
Publicado: 2025
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author Xing, Haoyun
Jin, Kaiyan
Yao, Guice
Zhao, Jin
Xu, Dichu
Wen, Dongsheng
author_facet Xing, Haoyun
Jin, Kaiyan
Yao, Guice
Zhao, Jin
Xu, Dichu
Wen, Dongsheng
contents A novel Trunk-Branch (TB)-net physics-informed neural network (PINN) architecture is developed, which is a PINN-based method incorporating trunk and branch nets to capture both global and local features. The aim is to solve four main classes of problems: forward flow problem, forward heat transfer problem, inverse heat transfer problem, and transfer learning problem within the porous medium, which are notoriously complex that could not be handled by origin PINN. In the proposed TB-net PINN architecture, a Fully-connected Neural Network (FNN) is used as the trunk net, followed by separated FNNs as the branch nets with respect to outputs, and automatic differentiation is performed for partial derivatives of outputs with respect to inputs by considering various physical loss. The effectiveness and flexibility of the novel TB-net PINN architecture is demonstrated through a collection of forward problems, and transfer learning validates the feasibility of resource reuse. Combining with the superiority over traditional numerical methods in solving inverse problems, the proposed TB-net PINN shows its great potential for practical engineering applications.
format Preprint
id arxiv_https___arxiv_org_abs_2501_16362
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A novel Trunk Branch-net PINN for flow and heat transfer prediction in porous medium
Xing, Haoyun
Jin, Kaiyan
Yao, Guice
Zhao, Jin
Xu, Dichu
Wen, Dongsheng
Machine Learning
Fluid Dynamics
A novel Trunk-Branch (TB)-net physics-informed neural network (PINN) architecture is developed, which is a PINN-based method incorporating trunk and branch nets to capture both global and local features. The aim is to solve four main classes of problems: forward flow problem, forward heat transfer problem, inverse heat transfer problem, and transfer learning problem within the porous medium, which are notoriously complex that could not be handled by origin PINN. In the proposed TB-net PINN architecture, a Fully-connected Neural Network (FNN) is used as the trunk net, followed by separated FNNs as the branch nets with respect to outputs, and automatic differentiation is performed for partial derivatives of outputs with respect to inputs by considering various physical loss. The effectiveness and flexibility of the novel TB-net PINN architecture is demonstrated through a collection of forward problems, and transfer learning validates the feasibility of resource reuse. Combining with the superiority over traditional numerical methods in solving inverse problems, the proposed TB-net PINN shows its great potential for practical engineering applications.
title A novel Trunk Branch-net PINN for flow and heat transfer prediction in porous medium
topic Machine Learning
Fluid Dynamics
url https://arxiv.org/abs/2501.16362