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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

Incompressible fluid flow around a cylinder is one of the classical problems in fluid-dynamics with strong relevance with many real-world engineering problems, for example, design of offshore structures or design of a pin-fin heat…

Machine Learning · Computer Science 2020-11-04 Tongtao Zhang , Biswadip Dey , Pratik Kakkar , Arindam Dasgupta , Amit Chakraborty

The interface between data-driven learning methods and classical simulation poses an interesting field offering a multitude of new applications. In this work, we build on the notion of physics-informed neural networks (PINNs) and employ…

Fluid Dynamics · Physics 2022-03-04 Raphael Leiteritz , Marcel Hurler , Dirk Pflüger

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…

Machine Learning · Computer Science 2025-10-14 Sifan Wang , Shyam Sankaran , Xiantao Fan , Panos Stinis , Paris Perdikaris

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

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…

Machine Learning · Computer Science 2024-04-05 Zakaria Elabid , Daniel Busby , Abdenour Hadid

The assimilation and prediction of phase-resolved surface gravity waves are critical challenges in ocean science and engineering. Potential flow theory (PFT) has been widely employed to develop wave models and numerical techniques for wave…

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

The accurate solution of nonlinear hyperbolic partial differential equations (PDEs) remains challenging due to steep gradients, discontinuities, and multiscale structures that make conventional solvers computationally demanding.…

Machine Learning · Computer Science 2025-12-02 Saif Ur Rehman , Wajid Yousuf

Neural networks, while powerful, often lack interpretability. Physics-Informed Neural Networks (PINNs) address this limitation by incorporating physics laws into the loss function, making them applicable to solving Ordinary Differential…

Machine Learning · Computer Science 2024-04-17 Jonas Ekeland Kittelsen , Eric Aislan Antonelo , Eduardo Camponogara , Lars Struen Imsland

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…

Computational Physics · Physics 2024-06-10 Michel Nohra , Steven Dufour

Physics-informed neural networks (PINNs) integrate physical laws with data-driven models to improve generalization and sample efficiency. This work introduces an open-source implementation of the Physics-Informed Neural Network with Control…

Machine Learning · Computer Science 2025-04-29 Abdelhakim Amer , David Felsager , Yury Brodskiy , Andriy Sarabakha

The placement of temperature sensitive and safety-critical components is crucial in the automotive industry. It is therefore inevitable, even at the design stage of new vehicles that these components are assessed for potential safety…

Machine Learning · Computer Science 2022-03-23 Philip Heger , Markus Full , Daniel Hilger , Norbert Hosters

We provide an approach enabling one to employ physics-informed neural networks (PINNs) for uncertainty quantification. Our approach is applicable to systems where observations are scarce (or even lacking), these being typical situations…

Data Analysis, Statistics and Probability · Physics 2024-08-12 Milad Panahi , Giovanni Michele Porta , Monica Riva , Alberto Guadagnini

Solving the two-dimensional shallow water equations is a fundamental problem in flood simulation technology. In recent years, physics-informed neural networks (PINNs) have emerged as a novel methodology for addressing this problem. Given…

Fluid Dynamics · Physics 2025-01-22 Yongfu Tian , Shan Ding , Guofeng Su , Lida Huang , Jianguo Chen

The prohibitive cost and low fidelity of experimental data in industry scale thermofluid systems limit the usefulness of pure data-driven machine learning methods. Physics-informed neural networks (PINN) strive to overcome this by embedding…

Fluid Dynamics · Physics 2021-05-25 Ryno Laubscher , Pieter Rousseau

Physics-informed neural networks (PINNs) have great potential for flexibility and effectiveness in forward modeling and inversion of seismic waves. However, coordinate-based neural networks (NNs) commonly suffer from the "spectral bias"…

Geophysics · Physics 2025-06-19 Yi Ding , Su Chen , Hiroe Miyake , Xiaojun Li

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,…

Computational Physics · Physics 2020-06-23 Ben Moseley , Andrew Markham , Tarje Nissen-Meyer

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

Underwater explosions produce complex fluid phenomena relevant to diverse applications including maritime engineering, medical therapeutics, and inertial confinement fusion. These systems exhibit multiphase flows, chemical kinetics, and…

Fluid Dynamics · Physics 2025-07-02 Francis G. VanGessel , Mitul Pandya