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Physics-Informed Neural Network (PINN) is a novel multi-task learning framework useful for solving physical problems modeled using differential equations (DEs) by integrating the knowledge of physics and known constraints into the…

机器学习 · 计算机科学 2024-09-18 Shivprasad Kathane , Shyamprasad Karagadde

Turbulent fluid flows are among the most computationally demanding problems in science, requiring enormous computational resources that become prohibitive at high flow speeds. Physics-informed neural networks (PINNs) represent a radically…

机器学习 · 计算机科学 2025-10-14 Sifan Wang , Shyam Sankaran , Xiantao Fan , Panos Stinis , Paris Perdikaris

Physics-informed neural networks (PINNs) integrate fundamental physical principles with advanced data-driven techniques, driving significant advancements in scientific computing. However, PINNs face persistent challenges with stiffness in…

机器学习 · 计算机科学 2024-07-30 Pancheng Niu , Yongming Chen , Jun Guo , Yuqian Zhou , Minfu Feng , Yanchao Shi

High-resolution reconstruction of flow-field data from low-resolution and noisy measurements is of interest due to the prevalence of such problems in experimental fluid mechanics, where the measurement data are in general sparse, incomplete…

流体动力学 · 物理学 2024-02-23 Hamidreza Eivazi , Yuning Wang , Ricardo Vinuesa

Physics-informed deep learning has drawn tremendous interest in recent years to solve computational physics problems, whose basic concept is to embed physical laws to constrain/inform neural networks, with the need of less data for training…

流体动力学 · 物理学 2020-11-24 Chengping Rao , Hao Sun , Yang Liu

We develop improved physics-informed neural networks (PINNs) for high-order and high-dimensional power system models described by nonlinear ordinary differential equations. We propose some novel enhancements to improve PINN training and…

机器学习 · 计算机科学 2024-10-11 Vineet Jagadeesan Nair

The present work investigates the use of physics-informed neural networks (PINNs) for the 3D reconstruction of unsteady gravity currents from limited data. In the PINN context, the flow fields are reconstructed by training a neural network…

流体动力学 · 物理学 2023-06-16 Mickaël Delcey , Yoann Cheny , Sébastien Kiesgen de Richter

Turbulence remains a problem that is yet to be fully understood, with experimental and numerical studies aiming to fully characterise the statistical properties of turbulent flows. Such studies require huge amount of resources to capture,…

流体动力学 · 物理学 2022-05-31 Vijay Kag , Kannabiran Seshasayanan , Venkatesh Gopinath

A physics-informed neural network (PINN), which has been recently proposed by Raissi et al [J. Comp. Phys. 378, pp. 686-707 (2019)], is applied to the partial differential equation (PDE) of liquid film flows. The PDE considered is the time…

Physics-informed neural networks (PINNs) have emerged as a promising numerical method based on deep learning for modeling boundary value problems, showcasing promising results in various fields. In this work, we use PINNs to discretize…

计算物理 · 物理学 2024-06-10 Michel Nohra , Steven Dufour

Despite the significant progress over the last 50 years in simulating flow problems using numerical discretization of the Navier-Stokes equations (NSE), we still cannot incorporate seamlessly noisy data into existing algorithms,…

流体动力学 · 物理学 2021-05-21 Shengze Cai , Zhiping Mao , Zhicheng Wang , Minglang Yin , George Em Karniadakis

Physics-informed neural networks (PINNs) have gained significant prominence as a powerful tool in the field of scientific computing and simulations. Their ability to seamlessly integrate physical principles into deep learning architectures…

机器学习 · 计算机科学 2024-04-05 Zakaria Elabid , Daniel Busby , Abdenour Hadid

The transformative impact of machine learning, particularly Deep Learning (DL), on scientific and engineering domains is evident. In the context of computational fluid dynamics (CFD), Physics-Informed Neural Networks (PINNs) represent a…

流体动力学 · 物理学 2024-04-05 Siddharth Raghu , Rajdip Nayek , Vamsi Chalamalla

Physics-informed neural networks (PINNs) employed in fluid mechanics deal primarily with stationary boundaries. This hinders the capability to address a wide range of flow problems involving moving bodies. To this end, we propose a novel…

流体动力学 · 物理学 2025-08-05 Yongzheng Zhu , Weizhen Kong , Jian Deng , Xin Bian

We propose a self-supervised physics-informed neural network (PINN) framework that adaptively balances physics-based and data-driven supervision for scientific machine learning under data scarcity. Unlike prior PINNs that rely on fixed or…

机器学习 · 计算机科学 2026-05-08 Reza Pirayeshshirazinezhad

The reconstruction of deep ocean currents is a major challenge in data assimilation due to the scarcity of interior data. In this work, we present a proof of concept for deep ocean flow reconstruction using a Physics-Informed Neural Network…

大气与海洋物理 · 物理学 2025-03-26 Vadim Limousin , Nelly Pustelnik , Bruno Deremble , Antoine Venaille

The utilization of Deep Neural Networks (DNNs) in physical science and engineering applications has gained traction due to their capacity to learn intricate functions. While large datasets are crucial for training DNN models in fields like…

机器学习 · 计算机科学 2025-08-05 Vamsi Sai Krishna Malineni , Suresh Rajendran

Differential equations are indispensable to engineering and hence to innovation. In recent years, physics-informed neural networks (PINN) have emerged as a novel method for solving differential equations. PINN method has the advantage of…

计算工程、金融与科学 · 计算机科学 2022-01-07 Mayank Raj , Pramod Kumbhar , Ratna Kumar Annabattula

Modeling self-gravitating gas flows is essential to answering many fundamental questions in astrophysics. This spans many topics including planet-forming disks, star-forming clouds, galaxy formation, and the development of large-scale…

机器学习 · 计算机科学 2023-08-17 Sayantan Auddy , Ramit Dey , Neal J. Turner , Shantanu Basu

Physics-informed neural networks (PINNs) are an influential method of solving differential equations and estimating their parameters given data. However, since they make use of neural networks, they provide only a point estimate of…

机器学习 · 计算机科学 2024-05-15 Lena Podina , Mahdi Torabi Rad , Mohammad Kohandel
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