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The Dynamic Mode Decomposition (DMD) is a Koopman-based algorithm that straightforwardly isolates individual mechanisms from the compound morphology of direct measurement. However, many may be perplexed by the messages the DMD structures…

Fluid Dynamics · Physics 2021-12-03 Cruz Y. Li , Tim K. T. Tse , Gang Hu , Lei Zhou

In this study, an efficient reanalysis strategy for dynamic topology optimization is proposed. Compared with other related studies, an online successive dynamic reanalysis method and POD-based approximate dynamic displacement strategy are…

Numerical Analysis · Mathematics 2023-05-16 Shuhao Li , Hu Wang , Jichao Yin , Daozhen Guo , Guangyao Li

This paper introduces a data-driven time embedding method for modeling long-range seasonal dependencies in spatiotemporal forecasting tasks. The proposed approach employs Dynamic Mode Decomposition (DMD) to extract temporal modes directly…

Machine Learning · Computer Science 2025-08-05 Menglin Kong , Vincent Zhihao Zheng , Xudong Wang , Lijun Sun

This work proposes convolutional-sparse-coded dynamic mode decomposition (CSC-DMD) by unifying extended dynamic mode decomposition (EDMD) and convolutional sparse coding. EDMD is a data driven analysis method for describing a nonlinear…

Signal Processing · Electrical Eng. & Systems 2019-02-21 Yuhei Kaneko , Shogo Muramatsu , Hiroyasu Yasuda , Kiyoshi Hayasaka , Yu Otake , Shunsuke Ono , Masahiro Yukawa

Improving the power output from wind farms is vital in transitioning to renewable electricity generation. However, in wind farms, wind turbines often operate in the wake of other turbines, leading to a reduction in the wind speed and the…

Fluid Dynamics · Physics 2024-07-31 Andrew Mole , Sylvain Laizet

This paper proposes a new data assimilation method for recovering high fidelity turbulent flow field around airfoil at high Reynolds numbers based on experimental data, which is called Proper Orthogonal Decomposition Inversion…

Fluid Dynamics · Physics 2020-07-14 Yilang Liu , Weiwei Zhang

Current wind turbine simulations successfully use turbulence generating tools for modeling behavior. However, they lack the ability to reproduce variabilities in wind dynamics and inherent stochastic structures (like temporal and spatial…

Numerical Analysis · Mathematics 2016-03-29 Qiang Guo , Daniel Rajewski , Eugene Takle , Baskar Ganapathysubramanian

We study the effect of fluid flow on three-dimensional (3D) dendrite growth using a phase-field model on an adaptive finite element grid. In order to simulate 3D fluid flow, we use an averaging method for the flow problem coupled to the…

Materials Science · Physics 2009-11-07 Jun-Ho Jeong , Nigel Goldenfeld , Jonathan A. Dantzig

Modal decomposition methods are important for characterizing the low-dimensional dynamics of complex systems, including turbulent flows. Different methods have varying data requirements and produce modes with different properties. Spectral…

Fluid Dynamics · Physics 2025-08-28 Caroline Cardinale , Steven L. Brunton , Tim Colonius

Four different applications of spectral proper orthogonal decomposition (SPOD): low-rank reconstruction, denoising, frequency-time analysis, and prewhitening are demonstrated on large-eddy simulation data of a turbulent jet. SPOD-based…

Fluid Dynamics · Physics 2021-09-22 Akhil Nekkanti , Oliver T. Schmidt

We formulate a low-storage method for performing dynamic mode decomposition that can be updated inexpensively as new data become available; this formulation allows dynamical information to be extracted from large datasets and data streams.…

Fluid Dynamics · Physics 2015-06-22 Maziar S. Hemati , Matthew O. Williams , Clarence W. Rowley

Model Order Reduction (MOR) based on Proper Orthogonal Decomposition (POD) and Smooth Particle Hydrodynamics (SPH) has proven effective in various applications. Most MOR methods utilizing POD are implemented within a pure Eulerian…

Computational Physics · Physics 2025-08-04 Lidong Fang , Zilong Song , Kirk Fraser , Huaxiong Huang

Time series forecasting remains a central challenge problem in almost all scientific disciplines. We introduce a novel load forecasting method in which observed dynamics are modeled as a forced linear system using Dynamic Mode Decomposition…

Physics and Society · Physics 2021-07-13 Daniel Dylewsky , David Barajas-Solano , Tong Ma , Alexandre M. Tartakovsky , J. Nathan Kutz

A dynamic mode decomposition (DMD) based reduced-order model (ROM) is developed for tracking, detection, and prediction of kinetic plasma behavior. DMD is applied to the high-fidelity kinetic plasma model based on the electromagnetic…

Plasma Physics · Physics 2021-09-16 Indranil Nayak , Mrinal Kumar , Fernando L. Teixeira

In this work, we present a method which determines optimal multi-step dynamic mode decomposition (DMD) models via entropic regression, which is a nonlinear information flow detection algorithm. Motivated by the higher-order DMD (HODMD)…

Machine Learning · Statistics 2024-06-19 Christopher W. Curtis , Erik Bollt , Daniel Jay Alford-Lago

This note proposes a simple and general framework of dynamic mode decomposition (DMD) and a mode selection for large datasets. The proposed framework explicitly introduces a preconditioning step using an incremental proper orthogonal…

Fluid Dynamics · Physics 2017-08-02 Yuya Ohmichi

Understanding flow structures in urban areas is widely recognized as a challenging concern due to its effect on urban development, air quality, and pollutant dispersion. In this study, state-of-the-art data-driven methods for modal analysis…

Noise fundamentally limits the performance and predictive capabilities of classical and quantum dynamical systems by degrading stability and obscuring intrinsic dynamical characteristics. Characterizing such noise accurately is essential…

Quantum Physics · Physics 2025-08-07 Adva Baratz , Loris Maria Cangemi , Assaf Hamo , Sivan Refaely-Abramson , Amikam Levy

The scientific computation methods development in conjunction with artificial intelligence technologies remains a hot research topic. Finding a balance between lightweight and accurate computations is a solid foundation for this direction.…

Machine Learning · Computer Science 2025-07-03 Nikita Sakovich , Dmitry Aksenov , Ekaterina Pleshakova , Sergey Gataullin

We introduce an approach for damage detection in gearboxes based on the analysis of sensor data with the multi-resolution dynamic mode decomposition (mrDMD). The application focus is the condition monitoring of wind turbine gearboxes under…

Signal Processing · Electrical Eng. & Systems 2022-03-23 Paolo Climaco , Jochen Garcke , Rodrigo Iza-Teran
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