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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

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,…

Urban microclimate, encompassing wind and temperature fields shaped by building geometry, significantly impacts energy consumption, pedestrian winds, pollutant dispersion, urban heat island, and public health. Accurately predicting…

Fluid Dynamics · Physics 2026-05-21 Shaoxiang Qin , Theodore Potsis , Dongxue Zhan , Xue Liu , Ted Stahopoulos , Liangzhu Leon Wang

Spatio-temporal process models are often used for modeling dynamic physical and biological phenomena that evolve across space and time. These phenomena may exhibit environmental heterogeneity and complex interactions that are difficult to…

Methodology · Statistics 2026-01-06 Pratik Nag , Andrew Zammit-Mangion , Sumeetpal Singh , Noel Cressie

In past years, several studies have proposed new methods and applications for urban wind simulations. In this article, we present a fast and automatic methodology for reconstructing airflows within urban environments using LiDAR and…

We apply Fourier neural operators (FNOs), a state-of-the-art operator learning technique, to forecast the temporal evolution of experimentally measured velocity fields. FNOs are a recently developed machine learning method capable of…

Fluid Dynamics · Physics 2023-01-23 Peter I Renn , Cong Wang , Sahin Lale , Zongyi Li , Anima Anandkumar , Morteza Gharib

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

Accurate prediction of three-dimensional (3D) wind fields over complex mountainous terrain is essential for renewable energy deployment and regional weather modeling. Traditional computational fluid dynamics (CFD) simulations face two…

Fluid Dynamics · Physics 2026-05-26 Yujia Zhang , Jiaxi Qi , Ruiyan Chen , Yong Liu , Yuzhou Zhang , Lyulin Kuang , Rita Zhang , Shengze Cai

Flood inundation forecast provides critical information for emergency planning before and during flood events. Real time flood inundation forecast tools are still lacking. High-resolution hydrodynamic modeling has become more accessible in…

Fluid Dynamics · Physics 2023-08-01 Alexander Y. Sun , Zhi Li , Wonhyun Lee , Qixing Huang , Bridget R. Scanlon , Clint Dawson

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

Fourier Neural Operators (FNOs) have demonstrated exceptional accuracy in mapping functional spaces by leveraging Fourier transforms to establish a connection with underlying physical principles. However, their opaque inner workings often…

Fluid Dynamics · Physics 2025-11-04 Marco Cayuela , Vincent Le Chenadec , Peter Schmid , Taraneh Sayadi

Fourier Neural Operators (FNOs) have emerged as promising surrogates for partial differential equation solvers. In this work, we extensively tested FNOs on a variety of systems with non-linear and non-stationary properties, using a wide…

Computational Engineering, Finance, and Science · Computer Science 2025-11-13 Rad Haghi , Bipin Gaikwad , Abani Patra

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

Neural operators are becoming the default tools to learn solutions to governing partial differential equations (PDEs) in weather and ocean forecasting applications. Despite early promising achievements, significant challenges remain,…

Machine Learning · Computer Science 2025-10-14 Vahidreza Jahanmard , Ali Ramezani-Kebrya , Robinson Hordoir

Traditionally, neural networks have been employed to learn the mapping between finite-dimensional Euclidean spaces. However, recent research has opened up new horizons, focusing on the utilization of deep neural networks to learn operators…

Machine Learning · Computer Science 2025-02-18 Somdatta Goswami , Dimitris G. Giovanis , Bowei Li , Seymour M. J. Spence , Michael D. Shields

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…

Efficient and accurate time-domain simulation of electromagnetic fields in complex photonic devices is critical for designing broadband and ultrafast optical components, yet it is often limited by the high computational cost of conventional…

Optics · Physics 2026-02-05 Zaifan Wu , Yue You , Xian Zhou , Fan Zhang

Fourier Neural Operators (FNOs) have been promoted as fast, mesh-invariant surrogates for partial-differential equation solvers, with seismic studies reporting orders-of-magnitude speedup over classical methods. We revisit those claims by…

Geophysics · Physics 2025-08-18 Dimitri Voytan , Litan Li

This paper investigates the temporal evolution of high-speed compressible fluids in irregular flow fields using the Fourier Neural Operator (FNO). We reconstruct the irregular flow field point set into sequential format compatible with FNO…

Fluid Dynamics · Physics 2026-01-06 Yifan Nie , Qiaoxin Li

Fourier Neural Operators (FNOs) have proven to be an efficient and effective method for resolution-independent operator learning in a broad variety of application areas across scientific machine learning. A key reason for their success is…

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