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A surrogate model for particle-in-cell plasma simulations based on a graph neural network is presented. The graph is constructed in such a way as to enable the representation of electromagnetic fields on a fixed spatial grid. The model is…

Plasma Physics · Physics 2025-03-04 Marin Mlinarević , George K. Holt , Adriano Agnello

Accurate and efficient physical simulations are essential in science and engineering, yet traditional numerical solvers face significant challenges in computational cost when handling simulations across dynamic scenarios involving complex…

Computational Engineering, Finance, and Science · Computer Science 2025-12-12 Pengwei Liu , Xingyu Ren , Pengkai Wang , Hangjie Yuan , Zhongkai Hao , Guanyu Chen , Chao Xu , Dong Ni , Shengze Cai

Subsurface simulations use computational models to predict the flow of fluids (e.g., oil, water, gas) through porous media. These simulations are pivotal in industrial applications such as petroleum production, where fast and accurate…

Machine Learning · Computer Science 2022-06-16 Tailin Wu , Qinchen Wang , Yinan Zhang , Rex Ying , Kaidi Cao , Rok Sosič , Ridwan Jalali , Hassan Hamam , Marko Maucec , Jure Leskovec

In many cutting-edge applications, high-fidelity computational models prove to be too slow for practical use and are therefore replaced by much faster surrogate models. Recently, deep learning techniques have increasingly been utilized to…

Machine Learning · Computer Science 2024-04-03 Saurabh Deshpande , Stéphane P. A. Bordas , Jakub Lengiewicz

This study aims to predict the spatio-temporal evolution of physical quantities observed in multi-layered display panels subjected to the drop impact of a ball. To model these complex interactions, graph neural networks have emerged as…

Computational Physics · Physics 2024-11-05 Jiyong Kim , Jangseop Park , Nayong Kim , Younyeol Yu , Kiseok Chang , Chang-Seung Woo , Sunwoong Yang , Namwoo Kang

Computational Intelligence (CI) techniques have shown great potential as a surrogate model of expensive physics simulation, with demonstrated ability to make fast predictions, albeit at the expense of accuracy in some cases. For many…

Physics-informed neural networks (PINNs) have successfully addressed various computational physics problems based on partial differential equations (PDEs). However, while tackling issues related to irregularities like singularities and…

Machine Learning · Computer Science 2024-11-25 Hang Hu , Sidi Wu , Guoxiong Cai , Na Liu

Compressible flow problems are characterized by highly nonlinear, implicit, and often transcendental governing equations. In undergraduate gas dynamics education, solving these equations traditionally relies on iterative numerical methods…

Fluid Dynamics · Physics 2025-12-19 Ehsan Roohi

Graph neural networks, recently introduced into the field of fluid flow surrogate modeling, have been successfully applied to model the temporal evolution of various fluid flow systems. Existing applications, however, are mostly restricted…

Fluid Dynamics · Physics 2026-01-14 Rui Gao , Zhi Cheng , Rajeev K. Jaiman

A Physics-Informed Dynamic Graph Neural Network (PIDGeuN) is presented to accurately, efficiently and robustly predict the nonlinear transient dynamics of microgrids in the presence of disturbances. The graph-based architecture of PIDGeuN…

Systems and Control · Electrical Eng. & Systems 2022-04-20 Yin Yu , Xinyuan Jiang , Daning Huang , Yan Li

Simulating the mechanical response of advanced materials can be done more accurately using concurrent multiscale models than with single-scale simulations. However, the computational costs stand in the way of the practical application of…

Machine Learning · Computer Science 2024-02-21 J. Storm , I. B. C. M. Rocha , F. P. van der Meer

Mesh-based simulations play a key role when modeling complex physical systems that, in many disciplines across science and engineering, require the solution of parametrized time-dependent nonlinear partial differential equations (PDEs). In…

Numerical Analysis · Mathematics 2023-08-04 Nicola Rares Franco , Stefania Fresca , Filippo Tombari , Andrea Manzoni

Physics-based models are computationally time-consuming and infeasible for real-time scenarios of urban drainage networks, and a surrogate model is needed to accelerate the online predictive modelling. Fully-connected neural networks (NNs)…

Machine Learning · Computer Science 2024-08-02 Zhiyu Zhang , Chenkaixiang Lu , Wenchong Tian , Zhenliang Liao , Zhiguo Yuan

We present a graph neural network (GNN) based surrogate framework for molecular dynamics simulations that directly predicts atomic displacements and learns the underlying evolution operator of an atomistic system. Unlike conventional…

Materials Science · Physics 2025-12-29 Judah Immanuel , Avik Mahata , Aniruddha Maiti

Solving partial differential equations (PDEs) serves as a cornerstone for modeling complex dynamical systems. Recent progresses have demonstrated grand benefits of data-driven neural-based models for predicting spatiotemporal dynamics…

Machine Learning · Computer Science 2025-03-04 Bocheng Zeng , Qi Wang , Mengtao Yan , Yang Liu , Ruizhi Chengze , Yi Zhang , Hongsheng Liu , Zidong Wang , Hao Sun

The ubiquity of fluids in the physical world explains the need to accurately simulate their dynamics for many scientific and engineering applications. Traditionally, well established but resource intensive CFD solvers provide such…

Machine Learning · Computer Science 2021-12-21 Lucas Meyer , Louen Pottier , Alejandro Ribes , Bruno Raffin

Predicting the dynamic behaviors of particles in suspension subject to hydrodynamic interaction (HI) and external drive can be critical for many applications. By harvesting advanced deep learning techniques, the present work introduces a…

Machine Learning · Computer Science 2022-08-24 Zhan Ma , Zisheng Ye , Wenxiao Pan

Engineering components must meet increasing technological demands in ever shorter development cycles. To face these challenges, a holistic approach is essential that allows for the concurrent development of part design, material system and…

Machine Learning · Computer Science 2024-07-31 Tobias Würth , Niklas Freymuth , Clemens Zimmerling , Gerhard Neumann , Luise Kärger

Generative Adversarial Networks (GANs) have been widely used for generating photo-realistic images. A variant of GANs called super-resolution GAN (SRGAN) has already been used successfully for image super-resolution where low resolution…

Computational Physics · Physics 2020-03-09 Akshay Subramaniam , Man Long Wong , Raunak D Borker , Sravya Nimmagadda , Sanjiva K Lele

We develop a novel physics informed deep learning approach for solving nonlinear drift-diffusion equations on metric graphs. These models represent an important model class with a large number of applications in areas ranging from transport…

Machine Learning · Computer Science 2025-05-08 Jan Blechschmidt , Tom-Christian Riemer , Max Winkler , Martin Stoll , Jan-F. Pietschmann