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Related papers: Fourier Neural Operator based surrogates for $CO_2…

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Carbon capture and storage (CCS) plays an essential role in global decarbonization. Scaling up CCS deployment requires accurate and high-resolution modeling of the storage reservoir pressure buildup and the gaseous plume migration. However,…

Machine Learning · Computer Science 2023-06-02 Gege Wen , Zongyi Li , Qirui Long , Kamyar Azizzadenesheli , Anima Anandkumar , Sally M. Benson

Deep learning-based surrogate models have been widely applied in geological carbon storage (GCS) problems to accelerate the prediction of reservoir pressure and CO2 plume migration. Large amounts of data from physics-based numerical…

Machine Learning · Statistics 2024-01-11 Hewei Tang , Qingkai Kong , Joseph P. Morris

Geological carbon sequestration (GCS) involves injecting CO$_2$ into subsurface geological formations for permanent storage. Numerical simulations could guide decisions in GCS projects by predicting CO$_2$ migration pathways and the…

Machine Learning · Computer Science 2024-09-26 Jonathan E. Lee , Min Zhu , Ziqiao Xi , Kun Wang , Yanhua O. Yuan , Lu Lu

High-fidelity simulations of laser welding capture complex thermo-fluid phenomena, including phase change, free-surface deformation, and keyhole dynamics, however their computational cost limits large-scale process exploration and real-time…

Machine Learning · Computer Science 2026-04-01 Alix Benoit , Toni Ivas , Mateusz Papierz , Asel Sagingalieva , Alexey Melnikov , Elia Iseli

Fourier neural operators (FNOs) are a recently introduced neural network architecture for learning solution operators of partial differential equations (PDEs), which have been shown to perform significantly better than comparable deep…

Neural Operators (NOs) are a leading method for surrogate modeling of partial differential equations. Unlike traditional neural networks, which approximate individual functions, NOs learn the mappings between function spaces. While NOs have…

Astrophysics of Galaxies · Physics 2025-08-01 Keith Poletti , Stella S. R. Offner , Rachel A. Ward

Global urbanization has underscored the significance of urban microclimates for human comfort, health, and building/urban energy efficiency. They profoundly influence building design and urban planning as major environmental impacts.…

Machine Learning · Computer Science 2023-10-03 Wenhui Peng , Shaoxiang Qin , Senwen Yang , Jianchun Wang , Xue Liu , Liangzhu Leon Wang

We train Fourier Neural Operator (FNO) surrogate models for Rayleigh-B\'enard Convection (RBC), a model for convection processes that occur in nature and industrial settings. We compare the prediction accuracy and model properties of FNO…

Fluid Dynamics · Physics 2025-01-28 Michiel Straat , Thorben Markmann , Barbara Hammer

Simulating Darcy flows in porous media is fundamental to understand the future flow behavior of fluids in hydrocarbon and carbon storage reservoirs. Geological models of reservoirs are often associated with high uncertainly leading to many…

Fluid Dynamics · Physics 2024-07-16 Daniel Badawi , Eduardo Gildin

Microstructural evolution, particularly grain growth, plays a critical role in shaping the physical, optical, and electronic properties of materials. Traditional phase-field modeling accurately simulates these phenomena but is…

Materials Science · Physics 2026-04-15 Iman Peivaste , Ahmed Makradi , Salim Belouettar

With the recent rise of neural operators, scientific machine learning offers new solutions to quantify uncertainties associated with high-fidelity numerical simulations. Traditional neural networks, such as Convolutional Neural Networks…

Machine Learning · Computer Science 2024-09-04 Fanny Lehmann , Filippo Gatti , Michaël Bertin , Didier Clouteau

Predicting plasma evolution within a Tokamak reactor is crucial to realizing the goal of sustainable fusion. Capabilities in forecasting the spatio-temporal evolution of plasma rapidly and accurately allow us to quickly iterate over design…

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

Deep-learning-based surrogate models provide an efficient complement to numerical simulations for subsurface flow problems such as CO$_2$ geological storage. Accurately capturing the impact of faults on CO$_2$ plume migration remains a…

Machine Learning · Computer Science 2023-06-19 Xin Ju , François P. Hamon , Gege Wen , Rayan Kanfar , Mauricio Araya-Polo , Hamdi A. Tchelepi

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

Accurate urban microclimate analysis with wind velocity and temperature is vital for energy-efficient urban planning, supporting carbon reduction, enhancing public health and comfort, and advancing the low-altitude economy. However,…

Numerical simulation of multiphase flow in porous media is essential for many geoscience applications. Machine learning models trained with numerical simulation data can provide a faster alternative to traditional simulators. Here we…

Geophysics · Physics 2022-05-06 Gege Wen , Zongyi Li , Kamyar Azizzadenesheli , Anima Anandkumar , Sally M. Benson

Exploring the outer atmosphere of the sun has remained a significant bottleneck in astrophysics, given the intricate magnetic formations that significantly influence diverse solar events. Magnetohydrodynamics (MHD) simulations allow us to…

Solar and Stellar Astrophysics · Physics 2024-09-10 Yutao Du , Qin Li , Raghav Gnanasambandam , Mengnan Du , Haimin Wang , Bo Shen

Predicting plasma evolution within a Tokamak is crucial to building a sustainable fusion reactor. Whether in the simulation space or within the experimental domain, the capability to forecast the spatio-temporal evolution of plasma field…

Plasma Physics · Physics 2023-02-14 Vignesh Gopakumar , Stanislas Pamela , Lorenzo Zanisi , Zongyi Li , Anima Anandkumar , MAST Team

High-fidelity direct numerical simulation of turbulent flows for most real-world applications remains an outstanding computational challenge. Several machine learning approaches have recently been proposed to alleviate the computational…

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