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We present two methods to estimate bottom topography in a shallow water flow using only surface deformation measurements. One is based on Physics-Informed Neural Networks (PINNs) and the other on the Adjoint State Method. We test both…

Fluid Dynamics · Physics 2026-04-09 Lucas Pancotto , Patricio Clark Di Leoni

A novel hybrid deep neural network architecture is designed to capture the spatial-temporal features of unsteady flows around moving boundaries directly from high-dimensional unsteady flow fields data. The hybrid deep neural network is…

Computational Physics · Physics 2020-06-02 Renkun Han , Zhong Zhang , Yixing Wang , Ziyang Liu , Yang Zhang , Gang Chen

In this paper, a mathematical model is presented to infer the wave free surface elevation from the horizontal velocity components using Physics Informed Neural Network (PINN). PINN is a deep learning framework to solve forward and inverse…

Fluid Dynamics · Physics 2024-10-01 Omar Sallam , Mirjam Fürth

Efficient modeling of jet diffusion during accidental release is critical for operation and maintenance management of hydrogen facilities. Deep learning has proven effective for concentration prediction in gas jet diffusion scenarios.…

Computational Engineering, Finance, and Science · Computer Science 2023-09-06 Xinqi Zhang , Jihao Shi , Junjie Li , Xinyan Huang , Fu Xiao , Qiliang Wang , Asif Sohail Usmani , Guoming Chen

Pool fires are canonical representations of many accidental fires, which can exhibit an unstable unsteady behaviour, known as puffing, which involves a strong coupling between the temperature and velocity fields. Despite their practical…

Fluid Dynamics · Physics 2022-09-07 Michael Philip Sitte , Nguyen Anh Khoa Doan

This paper advances the use of physics-informed neural networks (PINNs) architectures to address moving interface problems via the level set method. Originally developed for other PDE-based problems, we particularly leverage PirateNet's…

Computational Physics · Physics 2025-07-08 Mathieu Mullins , Hamza Kamil , Adil Fahsi , Azzeddine Soulaimani

Recently, physics-informed neural networks (PINNs) have emerged as a promising method for solving partial differential equations (PDEs). In this study, we establish a deep learning computational framework, HL-nets, for computing the flow…

Fluid Dynamics · Physics 2023-04-21 Yiqian Cheng , Qiang He , Weifeng Huang , Ying Liu , Yanwen Li , Decai Li

Studying physics-informed neural networks (PINNs) for modeling partial differential equations to solve the acoustic wave field has produced promising results for simple geometries in two-dimensional domains. One option is to compute the…

Computational Engineering, Finance, and Science · Computer Science 2025-06-16 Stefan Schoder , Aneta Furmanová , Viktor Hruška

We consider physics-informed neural networks (PINNs) [Raissi et al., J.~Comput. Phys. 278 (2019) 686-707] for forward physical problems. In order to find optimal PINNs configuration, we introduce a hyper-parameter optimization (HPO)…

Numerical Analysis · Mathematics 2023-02-01 Paul Escapil-Inchauspé , Gonzalo A. Ruz

Accurate representation of wells is essential for reliable reservoir characterization and simulation of operational scenarios in subsurface flow models. Physics-informed neural networks (PINNs) have recently emerged as a promising method…

Fluid Dynamics · Physics 2026-05-25 Linus Walter , Qingkai Kong , Sara Hanson-Hedgecock , Víctor Vilarrasa

Physics-Informed Neural Networks (PINNs) have received increased interest for forward, inverse, and surrogate modeling of problems described by partial differential equations (PDE). However, their application to multiphysics problem,…

Machine Learning · Computer Science 2022-09-09 Danial Amini , Ehsan Haghighat , Ruben Juanes

In order to solve the problem of the difficult direct measurement of temperature field in fluid machinery under high-speed compressible conditions, this study combines high-order finite difference numerical format, Weighted Essentially…

Fluid Dynamics · Physics 2023-08-01 Ruquan You , Shuming Zhang , Tinglin Kong , Haiwang Li

Recent studies have demonstrated the success of deep learning in solving forward and inverse problems in engineering and scientific computing domains, such as physics-informed neural networks (PINNs). Source inversion problems under sparse…

Machine Learning · Statistics 2026-04-10 Brenda Anague , Bamdad Hosseini , Issa Karambal , Jean Medard Ngnotchouye

Hyperspectral image (HSI) denoising is essentially ill-posed since a noisy HSI can be degraded from multiple clean HSIs. However, existing deep learning (DL)-based approaches only restore one clean HSI from the given noisy HSI with a…

Computer Vision and Pattern Recognition · Computer Science 2026-01-01 Qizhou Wang , Li Pang , Xiangyong Cao , Zhiqiang Tian , Deyu Meng

We present a Physics-Informed Neural Network (PINN) to simulate the thermochemical evolution of a composite material on a tool undergoing cure in an autoclave. In particular, we solve the governing coupled system of differential equations…

Machine Learning · Computer Science 2021-06-16 Sina Amini Niaki , Ehsan Haghighat , Trevor Campbell , Anoush Poursartip , Reza Vaziri

Machine learning is gaining growing momentum in various recent models for the dynamic analysis of information flows in data communications networks. These preliminary models often rely on off-the-shelf learning models to predict from…

Machine Learning · Computer Science 2023-04-04 Xiangle Cheng , James He , Shihan Xiao , Yingxue Zhang , Zhitang Chen , Pascal Poupart , Fenglin Li

One of the biggest challenges in the optimization of micro-scale fluid transport phenomena is the prediction of unsteady fluid flow in the presence of rough channel walls. Even though the accuracy of available computational fluid dynamics…

Computational Engineering, Finance, and Science · Computer Science 2026-04-07 Ganesh Sahadeo Meshram , Partha Pratim Chakrabarti , Suman Chakraborty

We propose a consistency model based on the optimal-transport flow. A physics-informed design of partially input-convex neural networks (PICNN) plays a central role in constructing the flow field that emulates the displacement…

Machine Learning · Computer Science 2025-11-11 Fanghui Song , Zhongjian Wang , Jiebao Sun

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,…

Machine Learning · Computer Science 2026-04-21 Khemraj Shukla , Zongren Zou , Theo Kaeufer , Michael Triantafyllou , George Em Karniadakis

Learning the full family of solutions to parameterized partial differential equations (PDEs) is a central challenge to our ability to model the behavior of heterogeneous systems, with a variety of fundamental and application-oriented…

Computational Physics · Physics 2026-01-26 Milad Panahi , Giovanni Michele Porta , Monica Riva , Alberto Guadagnini
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