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This paper designs an Operator Learning framework to approximate the dynamic response of synchronous generators. One can use such a framework to (i) design a neural-based generator model that can interact with a numerical simulator of the…

Machine Learning · Computer Science 2023-01-31 Christian Moya , Guang Lin , Tianqiao Zhao , Meng Yue

The increasing frequency and severity of global flood events highlights the need for the development of rapid and reliable flood prediction tools. This process traditionally relies on computationally expensive hydraulic simulations. This…

In this work, we introduce a novel neural operator, the Solute Transport Operator Network (STONet), to efficiently model contaminant transport in micro-cracked porous media. STONet's model architecture is specifically designed for this…

Machine Learning · Computer Science 2025-07-02 Ehsan Haghighat , Mohammad Hesan Adeli , S Mohammad Mousavi , Ruben Juanes

The goal of this work is to investigate the capability of a neural operator (DeepONet) to accurately capture the complex deformation of a platelet's membrane under shear flow. The surrogate model approximated by the neural operator predicts…

Computational Physics · Physics 2024-12-03 Marco Laudato , Luca Manzari , Khemraj Shukla

Deep Operator Networks (DeepONets) and their physics-informed variants have shown significant promise in learning mappings between function spaces of partial differential equations, enhancing the generalization of traditional neural…

Machine Learning · Computer Science 2025-01-08 Milad Ramezankhani , Anirudh Deodhar , Rishi Yash Parekh , Dagnachew Birru

Poroelasticity -- coupled fluid flow and elastic deformation in porous media -- often involves spatially variable permeability, especially in subsurface systems. In such cases, simulations with random permeability fields are widely used for…

Machine Learning · Computer Science 2025-09-16 Sangjoon Park , Yeonjong Shin , Jinhyun Choo

Deep Operator Networks (DeepONets) are among the most prominent frameworks for operator learning, grounded in the universal approximation theorem for operators. However, training DeepONets typically requires significant computational…

Machine Learning · Computer Science 2025-01-17 Hwijae Son

Deep Learning research is advancing at a fantastic rate, and there is much to gain from transferring this knowledge to older fields like Computational Fluid Dynamics in practical engineering contexts. This work compares state-of-the-art…

Computational Physics · Physics 2020-10-01 Pierre Jacquier , Azzedine Abdedou , Vincent Delmas , Azzeddine Soulaimani

In high-speed flow past a normal shock, the fluid temperature rises rapidly triggering downstream chemical dissociation reactions. The chemical changes lead to appreciable changes in fluid properties, and these coupled multiphysics and the…

Computational Physics · Physics 2021-10-04 Zhiping Mao , Lu Lu , Olaf Marxen , Tamer A. Zaki , George E. Karniadakis

Simulating and predicting multiscale problems that couple multiple physics and dynamics across many orders of spatiotemporal scales is a great challenge that has not been investigated systematically by deep neural networks (DNNs). Herein,…

Computational Physics · Physics 2021-03-31 Chensen Lin , Zhen Li , Lu Lu , Shengze Cai , Martin Maxey , George Em Karniadakis

In molecular simulations, neural network force fields aim at achieving \emph{ab initio} accuracy with reduced computational cost. This work introduces enhancements to the Deep Potential network architecture, integrating a message-passing…

Computational Physics · Physics 2024-04-09 Ruiqi Gao , Yifan Li , Roberto Car

Artificial intelligence techniques are considered an effective means to accelerate flow field simulations. However, current deep learning methods struggle to achieve generalization to flow field resolutions while ensuring computational…

Fluid Dynamics · Physics 2024-05-15 Kuijun Zuo , Zhengyin Ye , Linyang Zhu , Xianxu Yuan , Weiwei Zhang

A novel deep operator network (DeepONet) with a residual U-Net (ResUNet) as the trunk network is devised to predict full-field highly nonlinear elastic-plastic stress response for complex geometries obtained from topology optimization under…

Computational Engineering, Finance, and Science · Computer Science 2023-08-01 Junyan He , Seid Koric , Shashank Kushwaha , Jaewan Park , Diab Abueidda , Iwona Jasiuk

This paper proposes a deep neural network approach for predicting multiphase flow in heterogeneous domains with high computational efficiency. The deep neural network model is able to handle permeability heterogeneity in high dimensional…

Machine Learning · Computer Science 2021-03-15 Gege Wen , Meng Tang , Sally M. Benson

This paper explores Neural Operators to predict turbulent flows, focusing on the Fourier Neural Operator (FNO) model. It aims to develop reduced-order/surrogate models for turbulent flow simulations using Machine Learning. Different model…

Fluid Dynamics · Physics 2023-07-26 Fernando Gonzalez , François-Xavier Demoulin , Simon Bernard

Modern digital engineering design process commonly involves expensive repeated simulations on varying three-dimensional (3D) geometries. The efficient prediction capability of neural networks (NNs) makes them a suitable surrogate to provide…

Computational Engineering, Finance, and Science · Computer Science 2024-06-17 Junyan He , Seid Koric , Diab Abueidda , Ali Najafi , Iwona Jasiuk

Water distribution systems (WDS) are an integral part of critical infrastructure which is pivotal to urban development. As 70% of the world's population will likely live in urban environments in 2050, efficient simulation and planning tools…

Machine Learning · Computer Science 2024-03-28 Inaam Ashraf , Janine Strotherm , Luca Hermes , Barbara Hammer

Deep Operator Network (DeepONet), a recently introduced deep learning operator network, approximates linear and nonlinear solution operators by taking parametric functions (infinite-dimensional objects) as inputs and mapping them to…

Computational Engineering, Finance, and Science · Computer Science 2023-10-12 Junyan He , Shashank Kushwaha , Jaewan Park , Seid Koric , Diab Abueidda , Iwona Jasiuk

Unlike classical artificial neural networks, which require retraining for each new set of parametric inputs, the Deep Operator Network (DeepONet), a lately introduced deep learning framework, approximates linear and nonlinear solution…

Computational Engineering, Finance, and Science · Computer Science 2024-03-25 Shashank Kushwaha , Jaewan Park , Seid Koric , Junyan He , Iwona Jasiuk , Diab Abueidda

The objective of this paper is to design novel multi-layer neural network architectures for multiscale simulations of flows taking into account the observed data and physical modeling concepts. Our approaches use deep learning concepts…

Numerical Analysis · Mathematics 2018-06-14 Yating Wang , Siu Wun Cheung , Eric T. Chung , Yalchin Efendiev , Min Wang