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Recent years have seen a surge in deep learning approaches to accelerate numerical solvers, which provide faithful but computationally intensive simulations of the physical world. These deep surrogates are generally trained in a supervised…

Machine Learning · Computer Science 2023-10-02 Lucas Meyer , Marc Schouler , Robert Alexander Caulk , Alejandro Ribés , Bruno Raffin

Operational flood forecasting still relies on high-fidelity two-dimensional hydraulic solvers, but their runtime can be prohibitive for rapid decision support on large urban floodplains. In parallel, AI-based surrogate models have shown…

Machine Learning · Computer Science 2026-04-06 Valentin Mercier , Serge Gratton , Lapeyre Corentin , Gwenaël Chevallet

Mesh-based numerical solvers are an important part in many design tool chains. However, accurate simulations like computational fluid dynamics are time and resource consuming which is why surrogate models are employed to speed-up the…

Machine Learning · Computer Science 2023-07-27 Sebastian Strönisch , Maximilian Sander , Andreas Knüpfer , Marcus Meyer

Multiscale modeling is an effective approach for investigating multiphysics systems with largely disparate size features, where models with different resolutions or heterogeneous descriptions are coupled together for predicting the system's…

Computational Engineering, Finance, and Science · Computer Science 2022-12-07 Minglang Yin , Enrui Zhang , Yue Yu , George Em Karniadakis

High-order Discontinuous Galerkin Spectral Element Methods (DGSEM) provide excellent accuracy for complex flow simulations, but their computational cost increases sharply with higher polynomial orders. %that provide very accurate solutions.…

Fluid Dynamics · Physics 2025-12-11 Xukun Wang , Oscar A. Marino , Esteban Ferrer

The optimization of structural parameters, such as mass(m), stiffness(k), and damping coefficient(c), is critical for designing efficient, resilient, and stable structures. Conventional numerical approaches, including Finite Element Method…

Neural and Evolutionary Computing · Computer Science 2026-02-24 Sagnik Mukherjee , Indrajit Barua

High percentage penetrations of renewable energy generations introduce significant uncertainty into power systems. It requires grid operators to solve alternative current optimal power flow (AC-OPF) problems more frequently for economical…

Systems and Control · Electrical Eng. & Systems 2022-07-04 Xiang Pan , Minghua Chen , Tianyu Zhao , Steven H. Low

Deep neural networks (DNN) have demonstrated effectiveness for various applications such as image processing, video segmentation, and speech recognition. Running state-of-the-art DNNs on current systems mostly relies on either…

Neural and Evolutionary Computing · Computer Science 2019-04-15 Mohsen Imani , Mohammad Samragh , Yeseong Kim , Saransh Gupta , Farinaz Koushanfar , Tajana Rosing

In computational fluid dynamics, there is an inevitable trade off between accuracy and computational cost. In this work, a novel multi-fidelity deep generative model is introduced for the surrogate modeling of high-fidelity turbulent flow…

Computational Physics · Physics 2021-01-12 Nicholas Geneva , Nicholas Zabaras

This work introduces a neural operator based surrogate modeling framework for neutron transport computation. Two architectures, the Deep Operator Network (DeepONet) and the Fourier Neural Operator (FNO), were trained for fixed source…

Computational Physics · Physics 2026-02-19 Md Hossain Sahadath , Qiyun Cheng , Shaowu Pan , Wei Ji

Traditional physics-based models of geophysical flows, such as debris flows and landslides that pose significant risks to human lives and infrastructure are computationally expensive, limiting their utility for large-scale parameter sweeps,…

Fluid Dynamics · Physics 2025-04-11 Palak Patel , Luke McGuire , Abani Patra

Discrete dislocation dynamics (DDD) is a widely employed computational method to study plasticity at the mesoscale that connects the motion of dislocation lines to the macroscopic response of crystalline materials. However, the…

Materials Science · Physics 2023-05-24 Nicolas Bertin , Fei Zhou

Real-time thermal-hydraulic simulation is essential for digital twin (DT) technology that supports the safe and efficient operation of small modular reactors (SMRs). Computational fluid dynamics (CFD) provides high-fidelity flow analysis,…

Machine Learning · Computer Science 2026-05-29 Minseo Lee , Seongmin Oh , Chaehyeon Song , Bumjin Cho , Shilaj Baral , Sangam Khanal , Minseop Song , Joongoo Jeon

Computational Fluid Dynamics (CFD)-driven training combines machine learning (ML) with CFD solvers to develop physically consistent closure models with improved predictive accuracy. In the original framework, each ML-generated candidate…

Machine Learning · Computer Science 2025-12-23 Yuan Fang , Fabian Waschkowski , Maximilian Reissmann , Richard D. Sandberg , Takuo Oda , Koichi Tanimoto

This study presents an enhanced multi-fidelity Deep Operator Network (DeepONet) framework for efficient spatio-temporal flow field prediction when high-fidelity data is scarce. Key innovations include: a merge network replacing traditional…

Fluid Dynamics · Physics 2025-07-18 Sunwoong Yang , Youngkyu Lee , Namwoo Kang

The Trapped Gyro-Landau Fluid (TGLF) model provides fast, accurate predictions of turbulent transport in tokamaks, but whole device simulations requiring thousands of evaluations remain computationally expensive. Neural network (NN)…

Simulation of multiphase flow in porous media is crucial for the effective management of subsurface energy and environment related activities. The numerical simulators used for modeling such processes rely on spatial and temporal…

Computational Physics · Physics 2022-05-25 Bicheng Yan , Dylan Robert Harp , Rajesh J. Pawar

An evolutionary multi-objective aerodynamic design optimization method using the computational fluid dynamics (CFD) simulations incorporating deep neural network (DNN) to reduce the required computational time is proposed. In this approach,…

Fluid Dynamics · Physics 2023-05-01 Yukito Tsunoda , Akira Oyama

Accurate prediction of rarefied gas dynamics is crucial for optimizing flows through microelectromechanical systems, air filtration devices, and shale gas extraction. Traditional methods, such as discrete velocity and direct simulation…

Computational Physics · Physics 2025-01-24 Jean-Michel Tucny , Marco Lauricella , Mihir Durve , Gianmarco Guglielmo , Andrea Montessori , Sauro Succi

Data-driven modeling approaches can produce fast surrogates to study large-scale physics problems. Among them, graph neural networks (GNNs) that operate on mesh-based data are desirable because they possess inductive biases that promote…

Machine Learning · Computer Science 2023-04-04 Brian R. Bartoldson , Yeping Hu , Amar Saini , Jose Cadena , Yucheng Fu , Jie Bao , Zhijie Xu , Brenda Ng , Phan Nguyen