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Physics-informed neural networks (PINNs) have emerged as a promising framework for solving inverse problems governed by partial differential equations (PDEs), including the reconstruction of turbulent flow fields from sparse data. However,…

机器学习 · 计算机科学 2026-04-21 Khemraj Shukla , Zongren Zou , Theo Kaeufer , Michael Triantafyllou , George Em Karniadakis

In response to recent FIA regulations reducing Formula 1 team wind tunnel hours (from 320 hours for last-place teams to 200 hours for championship leaders) and strict budget caps of 135 million USD per year, more efficient aerodynamic…

计算工程、金融与科学 · 计算机科学 2025-09-03 Naval Shah

Two-phase flow phenomena underpin critical technologies such as hydrogen fuel cells, spray cooling, and combustion, where droplet dynamics govern performance and efficiency. Conventional optical diagnostics, including shadowgraphy and…

流体动力学 · 物理学 2025-11-27 Maximilian Dreisbach , Elham Kiyani , Jochen Kriegseis , George Karniadakis , Alexander Stroh

Fluid-like materials are ubiquitous, spanning from living biological tissues to geological formations, and across scales ranging from micrometers to kilometers. Inferring their rheological properties remains a major challenge, particularly…

流体动力学 · 物理学 2025-06-24 Martin Lardy , Sham Tlili , Simon Gsell

We investigate the use of Physics-Informed Neural Networks (PINNs) for solving the wave equation. Whilst PINNs have been successfully applied across many physical systems, the wave equation presents unique challenges due to the multi-scale,…

计算物理 · 物理学 2020-06-23 Ben Moseley , Andrew Markham , Tarje Nissen-Meyer

This paper investigates the application of Physics-Informed Neural Networks (PINNs) for solving the inverse advection-diffusion problem to localize pollution sources. The study focuses on optimizing neural network architectures to…

神经与进化计算 · 计算机科学 2025-03-25 Ivan Chuprov , Denis Derkach , Dmitry Efremenko , Aleksei Kychkin

Physics-informed neural networks (PINNs) have emerged as a promising approach for solving complex fluid dynamics problems, yet their application to fluid-structure interaction (FSI) problems with moving boundaries remains largely…

机器学习 · 计算机科学 2025-12-04 Afrah Farea , Saiful Khan , Reza Daryani , Emre Cenk Ersan , Mustafa Serdar Celebi

We introduce PINGS (Physics-Informed Neural Network for Fast Generative Sampling), a framework that amortizes diffusion sampling by training a physics-informed network to approximate reverse-time probability-flow dynamics, reducing sampling…

Physics-Informed Neural Networks (PINNs) are fast becoming an important tool to solve differential equations rapidly and accurately, and to identify the systems parameters that best agree with a given set of measurements. PINNs have been…

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

Fluid mechanics is a fundamental field in engineering and science. Solving the Navier-Stokes equation (NSE) is critical for understanding the behavior of fluids. However, the NSE is a complex partial differential equation that is difficult…

计算物理 · 物理学 2023-04-10 Ayoub Farkane , Mounir Ghogho , Mustapha Oudani , Mohamed Boutayeb

Parameter estimation remains a challenging task across many areas of engineering. Because data acquisition can often be costly, limited, or prone to inaccuracies (noise, uncertainty) it is crucial to identify sensor configurations that…

机器学习 · 统计学 2025-11-20 Georgios Venianakis , Constantinos Theodoropoulos , Michail Kavousanakis

Modeling water flow in unsaturated soils is vital for describing various hydrological and ecological phenomena. Soil water dynamics is described by well-established physical laws (Richardson-Richards equation (RRE)). Solving the RRE is…

地球物理 · 物理学 2022-02-24 Toshiyuki Bandai , Teamrat A. Ghezzehei

Physics-informed neural networks (PINNs) have emerged as a major research focus. However, today's PINNs encounter several limitations. Firstly, during the construction of the loss function using automatic differentiation, PINNs often…

计算工程、金融与科学 · 计算机科学 2026-03-26 Chang Wei , Yuchen Fan , Jian Cheng Wong , Chin Chun Ooi , Heyang Wang , Pao-Hsiung Chiu

Recently developed physics-informed neural network (PINN) has achieved success in many science and engineering disciplines by encoding physics laws into the loss functions of the neural network, such that the network not only conforms to…

数值分析 · 数学 2021-11-17 Weiqi Ji , Weilun Qiu , Zhiyu Shi , Shaowu Pan , Sili Deng

Recent works have explored the potential of machine learning as data-driven turbulence closures for RANS and LES techniques. Beyond these advances, the high expressivity and agility of physics-informed neural networks (PINNs) make them…

机器学习 · 计算机科学 2021-03-08 Didier Lucor , Atul Agrawal , Anne Sergent

The importance and cost of time-domain simulations when studying power systems have exponentially increased in the last decades. With the growing share of renewable energy sources, the slow and predictable responses from large turbines are…

系统与控制 · 电气工程与系统科学 2025-10-08 Ignasi Ventura Nadal , Rahul Nellikkath , Spyros Chatzivasileiadis

In this study, fluid flow and concentration distribution inside a 3D T-shaped micromixer with various fin shapes and configurations are investigated using a Flexible Physics-Informed Neural Network (FlexPINN), which includes modifications…

流体动力学 · 物理学 2026-02-24 Meraj Hassanzadeh , Ehsan Ghaderi , Mohamad Ali Bijarchi

In this article, we propose a novel Stabilized Physics Informed Neural Networks method (SPINNs) for solving wave equations. In general, this method not only demonstrates theoretical convergence but also exhibits higher efficiency compared…

数值分析 · 数学 2024-03-29 Yuling Jiao , Yuhui Liu , Jerry Zhijian Yang , Cheng Yuan

PINN models have demonstrated capabilities in addressing fluid PDE problems, and their potential in solid mechanics is beginning to emerge. This study identifies two key challenges when using PINN to solve general solid mechanics problems.…

计算工程、金融与科学 · 计算机科学 2025-06-10 Haolin Li , Yuyang Miao , Zahra Sharif Khodaei , M. H. Aliabadi