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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

Application of Dynamic Mode Decomposition to clear-sky index forecasting of shadowing effects of convective fair-weather cumulus clouds is presented. Cloud dynamics are captured by sequences of visible-light photographic video frames. This…

Computational Engineering, Finance, and Science · Computer Science 2019-07-31 Jeff Manning , Ross Baldick

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

This paper implements a recently developed social hierarchy-based distributed economic model predictive control (DEMPC) algorithm in floating offshore wind farms for the purpose of power maximization. The controller achieves this objective…

Systems and Control · Electrical Eng. & Systems 2020-10-21 Ali C. Kheirabadi , Ryozo Nagamune

Dynamic mode decomposition (DMD) provides a principled approach to extract physically interpretable spatial modes from time-resolved flow field data, along with a linear model for how the amplitudes of these modes evolve in time. Recently,…

Fluid Dynamics · Physics 2020-07-29 Aditya G. Nair , Benjamin Strom , Bingni W. Brunton , Steven L. Brunton

The dynamic mode decomposition (DMD) technique extracts the dominant modes characterizing the innate dynamical behavior of the system within the measurement data. For appropriate identification of dominant modes from the measurement data,…

Systems and Control · Electrical Eng. & Systems 2022-10-25 G. Revati , Syed Shadab , K. Sonam , S. R. Wagh , N. M. Singh

We demonstrate that the integration of the recently developed dynamic mode decomposition (DMD) with a multi-resolution analysis allows for a decomposition method capable of robustly separating complex systems into a hierarchy of…

Dynamical Systems · Mathematics 2015-06-02 J. Nathan Kutz , Xing Fu , Steven L. Brunton

Data-driven learning is rapidly evolving and places a new perspective on realizing state-space dynamical systems. However, dynamical systems derived from nonlinear ordinary differential equations (ODEs) suffer from limitations in…

Machine Learning · Computer Science 2025-07-29 Hansaka Aluvihare , Levi Lingsch , Xianqi Li , Sirani M. Perera

Floating wind turbines (FWTs) hold significant potential for the exploitation of offshore renewable energy resources. Nevertheless, prior to the construction of FWTs, it is imperative to tackle several critical challenges, especially the…

Systems and Control · Electrical Eng. & Systems 2024-06-18 Yingjie Gong , Qinmin Yang , Hua Geng , Wenchao Meng , Lin Wang

Modal decomposition techniques are important tools for the analysis of unsteady flows and, in order to provide meaningful insights with respect to coherent structures and their characteristic frequencies, the modes must possess a robust…

Fluid Dynamics · Physics 2023-08-24 Lucas F. de Souza , Renato F. Miotto , William R. Wolf

A data-driven framework using snapshots of an uncontrolled flow is proposed to identify, and subsequently demonstrate, effective control strategies for different objectives in supersonic impinging jets. The approach, based on a dynamic mode…

Fluid Dynamics · Physics 2023-09-12 Spencer L. Stahl , Datta V. Gaitonde

The time-dependent fields obtained by solving partial differential equations in two and more dimensions quickly overwhelm the analytical capabilities of the human brain. A meaningful insight into the temporal behaviour can be obtained by…

Numerical Analysis · Mathematics 2024-04-04 Miha Rot , Martin Horvat , Gregor Kosec

We present a sparse sensing framework based on Dynamic Mode Decomposition (DMD) to identify flow regimes and bifurcations in large-scale thermo-fluid systems. Motivated by real-time sensing and control of thermal-fluid flows in buildings…

Dynamical Systems · Mathematics 2017-06-26 Boris Kramer , Piyush Grover , Petros Boufounos , Mouhacine Benosman , Saleh Nabi

The present paper develops a reduced-order model capable of modeling unsteady aerodynamic loads in the transonic regime using system identification techniques. The computational fluid dynamics (CFD) calculations are based on the Euler…

Fluid Dynamics · Physics 2023-07-20 Ana Cristina Neves Carloni , João Luiz F. Azevedo

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

In this paper, the coupled dynamics of the floating platform and the WTG rotor is analysed. In particular, the damping is explicitly derived from the coupled equations of rotor and floating platform. The analysis of the damping leads to the…

Systems and Control · Electrical Eng. & Systems 2022-11-21 Matteo Capaldo , Paul Mella

Accurate and efficient aeroelastic models are critically important for enabling the optimization and control of highly flexible aerospace structures, which are expected to become pervasive in future transportation and energy systems.…

Fluid Dynamics · Physics 2021-04-28 Nicola Fonzi , Steven L. Brunton , Urban Fasel

Elastic topological states have been receiving increased intention in numerous scientific and engineering fields due to their defect-immune nature, resulting in applications of vibration control and information processing. Here, we present…

Applied Physics · Physics 2023-05-31 Shuaifeng Li , Panayotis G. Kevrekidis , Jinkyu Yang

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

This paper discusses the application of Dynamic Mode Decomposition (DMD) to the extraction of modal properties of linear mechanical systems, i.e., experimental modal analysis (EMA). First, theoretical background of the DMD is briefly…

Dynamical Systems · Mathematics 2026-03-17 Akira Saito , Tomohiro Kuno
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