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In this work, we present an efficient optic flow algorithm for the extraction of vertically resolved 3D atmospheric motion vector (AMV) fields from incomplete hyperspectral image data measures by infrared sounders. The model at the heart of…

Computer Vision and Pattern Recognition · Computer Science 2023-10-26 P. Héas , O. Hautecoeur , R. Borde

We introduce the optimized dynamic mode decomposition algorithm for constructing an adaptive and computationally efficient reduced order model and forecasting tool for global atmospheric chemistry dynamics. By exploiting a low-dimensional…

Machine Learning · Computer Science 2024-04-22 Meghana Velegar , Christoph Keller , J. Nathan Kutz

Simulating dynamics of open quantum systems is sometimes a significant challenge, despite the availability of various exact or approximate methods. Particularly when dealing with complex systems, the huge computational cost will largely…

Quantum Physics · Physics 2023-08-04 Wei Liu , Zi-Hao Chen , Yu Su , Yao Wang , Wenjie Dou

There has been widespread interest in the use of grid-level storage to handle the variability from increasing penetrations of wind and solar energy. This problem setting requires optimizing energy storage and release decisions for anywhere…

Optimization and Control · Mathematics 2016-05-06 Tsvetan Asamov , Daniel F. Salas , Warren B. Powell

We present a novel acceleration technique for improving the convergence of source iteration for discrete ordinates transport calculations. Our approach uses the idea of the dynamic mode decomposition (DMD) to estimate the slowly decaying…

Computational Physics · Physics 2018-12-14 Ryan G. McClarren , Terry S. Haut

Wind farm flow control has been a key research focus in recent years, driven by the idea that a collectively operating wind farm can outperform individually controlled turbines. Control strategies are predominantly applied in an open-loop…

Systems and Control · Electrical Eng. & Systems 2025-07-29 Marcus Becker , Maarten J. van den Broek , Dries Allaerts , Jan-Willem van Wingerden

Dynamic mode decomposition (DMD) is a data-driven technique used for capturing the dynamics of complex systems. DMD has been connected to spectral analysis of the Koopman operator, and essentially extracts spatial-temporal modes of the…

Optimization and Control · Mathematics 2017-09-12 Byron Heersink , Michael A. Warren , Heiko Hoffmann

In this work we present an advanced computational pipeline for the approximation and prediction of the lift coefficient of a parametrized airfoil profile. The non-intrusive reduced order method is based on dynamic mode decomposition (DMD)…

Numerical Analysis · Mathematics 2020-11-23 Marco Tezzele , Nicola Demo , Giovanni Stabile , Andrea Mola , Gianluigi Rozza

This paper presents a novel non-linear model reduction method: Probabilistic Manifold Decomposition (PMD), which provides a powerful framework for constructing non-intrusive reduced-order models (ROMs) by embedding a high-dimensional system…

Numerical Analysis · Mathematics 2026-01-09 Jiaming Guo , Dunhui Xiao

Wind turbines located in wind farms are operated to maximize only their own power production. Individual operation results in wake losses that reduce farm energy. In this study, we operate a wind turbine array collectively to maximize total…

This paper addresses the problem of predicting a wind farm's power generation when no or few statistical data is available. The study is based on a time-series wind speed model and on a simple dynamic model of a DFIG wind turbine including…

Applications · Statistics 2008-12-18 Herman Bayem , Yannick Phulpin , Philippe Dessante , Julien Bect

The Koopman Mode Decomposition (KMD) is a data-analysis technique which is often used to extract the spatio-temporal patterns of complex flows. In this paper, we use KMD to study the dynamics of the lid-driven flow in a two-dimensional…

Fluid Dynamics · Physics 2018-01-03 Hassan Arbabi , Igor Mezić

Although many 3D One-Way Wave-equation Migration (OWEM) methods exist for VTI media, most of them struggle either with the stability, the anisotropic noise or the computational cost. In this paper we present a new method based on a mixed…

Modeling and predicting the dynamics of complex multiscale systems remains a significant challenge due to their inherent nonlinearities and sensitivity to initial conditions, as well as limitations of traditional machine learning methods…

Machine Learning · Computer Science 2025-10-23 Elias Al Ghazal , Jad Mounayer , Beatriz Moya , Sebastian Rodriguez , Chady Ghnatios , Francisco Chinesta

Dynamic Mode Decomposition (DMD) is a powerful, data-driven method for diagnosing complex dynamics. Various DMD algorithms allow one to fit data with a low-rank model that decomposes it into a sum of coherent spatiotemporal patterns.…

Dynamical Systems · Mathematics 2025-09-04 Karl Lapo , Samuele Mosso , J. Nathan Kutz

The field of scientific machine learning and its applications to numerical analyses such as CFD has recently experienced a surge in interest. While its viability has been demonstrated in different domains, it has not yet reached a level of…

Fluid Dynamics · Physics 2025-03-19 Giuseppe Bruni , Sepehr Maleki , Senthil K Krishnababu

Data-driven decompositions are becoming essential tools in fluid dynamics, allowing for tracking the evolution of coherent patterns in large datasets, and for constructing low order models of complex phenomena. In this work, we analyze the…

Fluid Dynamics · Physics 2020-04-15 M. A. Mendez , M. Balabane , J. -M. Buchlin

Dynamic Mode Decomposition (DMD) is a popular data-driven analysis technique used to decompose complex, nonlinear systems into a set of modes, revealing underlying patterns and dynamics through spectral analysis. This review presents a…

Dynamical Systems · Mathematics 2023-12-22 Matthew J. Colbrook

In this paper, the variable wind power is incorporated into the dynamic model for long-term stability analysis. A theory-based method is proposed for power systems with wind power to conduct long-term stability analysis, which is able to…

Systems and Control · Computer Science 2016-11-15 Xiaozhe Wang , Hsiao-Dong Chiang , Jianhui Wang , Hui Liu , Tao Wang

A quantitative evaluation method for a reduced-order model of the flow field around an NACA0015 airfoil based on particle image velocimetry (PIV) data is proposed in the present paper. The velocity field data obtained by the time-resolved…

Fluid Dynamics · Physics 2021-05-03 Taku Nonomura , Koki Nankai , Yuto Iwasaki , Atsushi Komuro , Keisuke Asai