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We present our progress on the application of physics informed deep learning to reservoir simulation problems. The model is a neural network that is jointly trained to respect governing physical laws and match boundary conditions. The…

Fluid Dynamics · Physics 2021-04-26 Cedric Fraces Gasmi , Hamdi Tchelepi

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

This paper introduces wavelet-physics-informed residual neural networks (W-PIRNNs) to study complex fluid flow problems by reconstructing the flow field from highly sparse, supervised data. Our W-PIRNNs fundamentally integrate ResNet and…

Fluid Dynamics · Physics 2026-01-28 Biswanath Barman , Rajendra K. Ray

Accurate reconstruction of localized extreme structures remains a critical bottleneck in the physics-informed modeling of electro-thermal-convective flows. Although conventional physics-informed neural networks effectively capture smooth…

Fluid Dynamics · Physics 2026-04-24 Baitong Zhou , Ze Tao , Ke Xu , Fujun Liu , Xuan Fang

Accurate prediction of hydrogen sorption in fine-grained geological materials is essential for evaluating underground hydrogen storage capacity, assessing caprock integrity, and characterizing hydrogen migration in subsurface energy…

Machine Learning · Computer Science 2026-03-31 Mohammad Nooraiepour , Mohammad Masoudi , Zezhang Song , Helge Hellevang

For multilayer materials in thin substrate systems, interfacial failure is one of the most challenges. The traction-separation relations (TSR) quantitatively describe the mechanical behavior of a material interface undergoing openings,…

Computational Engineering, Finance, and Science · Computer Science 2020-12-01 Jiaxin Zhang , Congjie Wei , Chenglin Wu

BridgeNet is a novel hybrid framework that integrates convolutional neural networks with physics-informed neural networks to efficiently solve non-linear, high-dimensional Fokker-Planck equations (FPEs). Traditional PINNs, which typically…

Computational Physics · Physics 2025-07-16 Elmira Mirzabeigi , Rezvan Salehi , Kourosh Parand

Background: Deep learning techniques, particularly neural networks, have revolutionized computational physics, offering powerful tools for solving complex partial differential equations (PDEs). However, ensuring stability and efficiency…

Artificial Intelligence · Computer Science 2024-07-11 A. Noorizadegan , R. Cavoretto , D. L. Young , C. S. Chen

Physics-informed neural networks (PINNs) provide a mesh-free framework for solving partial differential equations by embedding governing physics into neural-network training. Recent studies have shown that parameterized PINNs can learn…

Fluid Dynamics · Physics 2026-05-29 A. Jangir , R. Clements , R. Goyal , G. Tabor

This paper presents a framework for physics-informed learning in complex cyber-physical systems governed by differential equations with both unknown dynamics and algebraic invariants. First, we formalize the Hybrid Recurrent…

Machine Learning · Computer Science 2025-12-01 Enzo Nicolás Spotorno , Josafat Leal Filho , Antônio Augusto Fröhlich

Neural networks can approximate solutions to partial differential equations, but they often break the very laws they are meant to model-creating mass from nowhere, drifting shocks, or violating conservation and entropy. We address this by…

Machine Learning · Computer Science 2025-11-06 Mainak Singha

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…

Machine Learning · Computer Science 2026-05-08 Reza Pirayeshshirazinezhad

Partial differential equations (PDEs) play a fundamental role in modeling and simulating problems across a wide range of disciplines. Recent advances in deep learning have shown the great potential of physics-informed neural networks…

Machine Learning · Computer Science 2022-01-31 Pu Ren , Chengping Rao , Yang Liu , Jianxun Wang , Hao Sun

A physics-informed convolutional neural network is proposed to simulate two phase flow in porous media with time-varying well controls. While most of PICNNs in existing literatures worked on parameter-to-state mapping, our proposed network…

Machine Learning · Computer Science 2024-10-24 Jungang Chen , Eduardo Gildin , John E. Killough

Physics-informed neural networks have shown significant potential in solving partial differential equations (PDEs) across diverse scientific fields. However, their performance often deteriorates when addressing PDEs with intricate and…

Machine Learning · Computer Science 2025-02-18 Nanxi Chen , Chuanjie Cui , Rujin Ma , Airong Chen , Sifan Wang

In complex engineering systems such as electro-thermal-fluid coupling, rapid and accurate prediction of multi-physics fields is essential for advanced applications like digital twins and real-time condition monitoring. Traditional numerical…

Computational Physics · Physics 2026-03-25 Baitong Zhou , Ze Tao , Fujun Liu , Xuan Fang

Accurate methane sorption prediction across heterogeneous coal ranks requires models that combine thermodynamic consistency, efficient knowledge transfer across data-scarce geological systems, and calibrated uncertainty estimates,…

Machine Learning · Computer Science 2026-04-16 Mohammad Nooraiepour , Zezhang Song , Wei Li , Sarah Perez

We propose Weak and Entropy PINNs (WE-PINNs) for the approximation of entropy solutions to nonlinear hyperbolic conservation laws. Standard physics-informed neural networks enforce governing equations in strong differential form, an…

Numerical Analysis · Mathematics 2026-03-27 Ismail Oubarka , Imad Kissami , Mohamed Boubekeur , Fayssal Benkhaldoun , Aziz Madrane , Zakaria Saadi

Accurate prediction of main engine power is essential for vessel performance optimization, fuel efficiency, and compliance with emission regulations. Conventional machine learning approaches, such as Support Vector Machines, variants of…

Machine Learning · Computer Science 2026-02-23 Orfeas Bourchas , George Papalambrou

We present a physics-inspired neural network (PINN) model for direct prediction of hydrodynamic forces and torques experienced by individual particles in stationary beds of randomly distributed spheres. In line with our findings, it has…

Fluid Dynamics · Physics 2022-03-09 Arman Seyed-Ahmadi , Anthony Wachs
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