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Approximating solutions to partial differential equations (PDEs) is fundamental for the modeling of dynamical systems in science and engineering. Physics-informed neural networks (PINNs) are a recent machine learning-based approach, for…

Physics-Informed Neural Networks (PINNs) have recently emerged as a novel approach to simulate complex physical systems on the basis of both data observations and physical models. In this work, we investigate the use of PINNs for various…

Analysis of PDEs · Mathematics 2024-03-27 Guillaume Coulaud , Maxime Le , Régis Duvigneau

Physics-informed neural networks (PINNs) are successful machine-learning methods for the solution and identification of partial differential equations (PDEs). We employ PINNs for solving the Reynolds-averaged Navier$\unicode{x2013}$Stokes…

Fluid Dynamics · Physics 2022-07-20 Hamidreza Eivazi , Mojtaba Tahani , Philipp Schlatter , Ricardo Vinuesa

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…

Fluid Dynamics · Physics 2024-02-23 Hamidreza Eivazi , Yuning Wang , Ricardo Vinuesa

l flows and flat-plate boundary layers. However, it predicts too low a turbulent kinetic energy. This is a feature it shares with most other two-equation turbulence models. When comparing the terms in the k equations with DNS data it is…

Fluid Dynamics · Physics 2026-05-19 Lars Davidson

Physics-informed neural networks (PINNs) have shown promise for solving partial differential equations (PDEs) by directly embedding them into the loss function. Despite their notable success, existing PINNs often exhibit training…

Computational Engineering, Finance, and Science · Computer Science 2026-03-26 Chang Wei , Yuchen Fan , Chin Chun Ooi , Jian Cheng Wong , Heyang Wang , Pao-Hsiung Chiu

Physics-Informed Neural Networks (PINNs) have emerged as a promising computational framework for solving differential equations by integrating deep learning with physical constraints. However, their application in gas turbines is still in…

Computational Engineering, Finance, and Science · Computer Science 2025-06-25 Afila Ajithkumar Sophiya , Sepehr Maleki , Giuseppe Bruni , Senthil K. Krishnababu

Physics-Informed Neural Networks (PINNs) have recently emerged as a promising alternative for solving partial differential equations, offering a mesh-free framework that incorporates physical laws directly into the learning process. In this…

Computational Physics · Physics 2025-04-17 Gal G. Shaviner , Hemanth Chandravamsi , Shimon Pisnoy , Ziv Chen , Steven H. Frankel

Physics-informed neural networks (PINNs) have recently emerged as a promising way to compute the solutions of partial differential equations (PDEs) using deep neural networks. However, despite their significant success in various fields, it…

Numerical Analysis · Mathematics 2024-07-15 Seungchan Ko , Sang Hyeon Park

In this study, we utilize the emerging Physics Informed Neural Networks (PINNs) approach for the first time to predict the flow field of a compressor cascade. Different from conventional training methods, a new adaptive learning strategy…

Machine Learning · Computer Science 2024-05-08 Zhihui Li , Francesco Montomoli , Sanjiv Sharma

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…

Computational Engineering, Finance, and Science · Computer Science 2025-09-03 Naval Shah

Achieving clean combustion systems is crucial in terms of solving environmental impacts, decarbonization needs and sustainability matters. Traditional combustion modeling techniques via computational fluid dynamics with accurate chemical…

Fluid Dynamics · Physics 2025-09-11 Mahmood Mousavi , Caleb Caldwell , Jacob Baltes , Muteb Aljasem , Bok Jik Lee

In recent years, Physics-Informed Neural Networks (PINNs) have emerged as a powerful and robust framework for solving nonlinear differential equations across a wide range of scientific and engineering disciplines, including biology,…

Fluid Dynamics · Physics 2025-11-19 Ritik Pal , Soubhik Mukherjee , Urmi Dutta , Arghya Choudhury

Recently, physics informed neural networks (PINNs) have been explored extensively for solving various forward and inverse problems and facilitating querying applications in fluid mechanics applications. However, work on PINNs for unsteady…

Fluid Dynamics · Physics 2024-02-28 Rahul Sundar , Dipanjan Majumdar , Didier Lucor , Sunetra Sarkar

Rapid aerodynamic screening of turbomachinery blades across wide operating envelopes remains a major computational bottleneck in preliminary design, particularly for energy-conversion and storage systems such as emerging Carnot batteries.…

Fluid Dynamics · Physics 2026-05-25 Yuan Huang , Francesca di Mare

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…

Systems and Control · Electrical Eng. & Systems 2025-10-08 Ignasi Ventura Nadal , Rahul Nellikkath , Spyros Chatzivasileiadis

The recent surge of interest in physics-informed neural network (PINN) methods has led to a wave of studies that attest to their potential for solving partial differential equations (PDEs) and predicting the dynamics of physical systems.…

Computational Engineering, Finance, and Science · Computer Science 2023-06-02 Pi-Yueh Chuang , Lorena A. Barba

Physics-informed neural networks (PINNs) are a new tool for solving boundary value problems by defining loss functions of neural networks based on governing equations, boundary conditions, and initial conditions. Recent investigations have…

Computational Engineering, Finance, and Science · Computer Science 2023-11-14 Ali Harandi , Ahmad Moeineddin , Michael Kaliske , Stefanie Reese , Shahed Rezaei

Physics-informed neural networks (PINNs) encode physical conservation laws and prior physical knowledge into the neural networks, ensuring the correct physics is represented accurately while alleviating the need for supervised learning to a…

Computational Physics · Physics 2020-08-26 Xuhui Meng , Zhen Li , Dongkun Zhang , George Em Karniadakis

Physics-Informed machine learning models have recently emerged with some interesting and unique features that can be applied to reservoir engineering. In particular, physics-informed neural networks (PINN) leverage the fact that neural…

Fluid Dynamics · Physics 2023-12-01 Daniel Badawi , Eduardo Gildin