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Energy transfer across scales is fundamental in fluid dynamics, linking large-scale flow motions to small-scale turbulent structures in engineering and natural environments. Triadic interactions among three wave components form complex…

流体动力学 · 物理学 2024-11-21 Brandon Yeung , Tianyi Chu , Oliver T. Schmidt

Dynamic Mode Decomposition (DMD) is an unsupervised machine learning method that has attracted considerable attention in recent years owing to its equation-free structure, ability to easily identify coherent spatio-temporal structures in…

机器学习 · 计算机科学 2022-02-16 Alex Viguerie , Gabriel F. Barros , Malú Grave , Alessandro Reali , Alvaro L. G. A. Coutinho

Dynamic mode decomposition (DMD) has recently become a popular tool for the non-intrusive analysis of dynamical systems. Exploiting Proper Orthogonal Decomposition (POD) as a dimensionality reduction technique, DMD is able to approximate a…

数值分析 · 数学 2024-01-17 Francesco Andreuzzi , Nicola Demo , Gianluigi Rozza

We develop a data-driven characterization of the pilot-wave hydrodynamic system in which a bouncing droplet self-propels along the surface of a vibrating bath. We consider drop motion in a confined one-dimensional geometry, and apply the…

流体动力学 · 物理学 2022-10-14 J. Nathan Kutz , Andre Nachbin , Peter J. Baddoo , John W. M. Bush

Extracting the latent underlying structures of complex nonlinear local and nonlocal flows is essential for their analysis and modeling. In this work, we attempt to provide a consistent framework through Koopman theory and its related…

动力系统 · 数学 2021-12-23 Ido Cohen , Guy Gilboa

We perform high-fidelity, two-dimensional (2D), fluid-structure interaction (FSI) simulations at a Reynolds number of $Re=200$ of uniform flow past an inverted flag (i.e., clamped at its trailing edge). The inverted flag system can exhibit…

流体动力学 · 物理学 2021-05-04 Andres Goza

Dynamic mode decomposition (DMD) and its variants have emerged as popular methods for the post-processing of fluid dynamics' simulations in order to visualize dominant coherent structures and to reduce the practical degrees of freedom to a…

流体动力学 · 物理学 2023-06-02 Chris Keylock

The increasing penetration of renewable energy sources, characterised by low inertia and intermittent disturbances, presents substantial challenges to power system stability. As critical indicators of system stability, frequency dynamics…

系统与控制 · 电气工程与系统科学 2025-02-19 Xiao Li , Xinyi Wen , Benjamin Schäfer

Statistical tools are crucial for studying and modeling turbulent flows, where chaotic velocity fluctuations span a wide range of spatial and temporal scales. Advances in image velocimetry, especially in tracking-based methods, now allow…

流体动力学 · 物理学 2025-02-19 Miguel A. Mendez , Manuel Ratz , Damien Rigutto

A theoretic framework for dynamics is obtained by transferring dynamics from state space to its dual space. As a result, the linear structure where dynamics are analytically decomposed to subcomponents and invariant subspaces decomposition…

流体动力学 · 物理学 2020-07-03 Wei Zhang , Mingjun Wei

Scientific research and engineering practice often require the modeling and decomposition of nonlinear systems. The Dynamic Mode Decomposition (DMD) is a novel Koopman-based technique that effectively dissects high-dimensional nonlinear…

Three-field Fluid-Structure Interaction (FSI) formulations for fluid and solid are applied and compared to the standard two field-one field formulation for fluid and solid, respectively. Both formulations are applied in a non linear setting…

数值分析 · 数学 2020-10-13 Alexis Tello , Ramon Codina

Drawing inspiration from the lateral lines of fish, the inference of flow characteristics via surface-based data has drawn considerable attention. The current approaches often rely on analytical methods tailored exclusively for potential…

流体动力学 · 物理学 2023-11-03 Colin Rodwell , Kumar Sourav , Phanindra Tallapragada

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,…

流体动力学 · 物理学 2020-07-29 Aditya G. Nair , Benjamin Strom , Bingni W. Brunton , Steven L. Brunton

Dynamic mode decomposition (DMD) has emerged as a popular data-driven modeling approach to identifying spatio-temporal coherent structures in dynamical systems, owing to its strong relation with the Koopman operator. For dynamical systems…

信号处理 · 电气工程与系统科学 2021-10-26 Manu Krishnan , Serkan Gugercin , Pablo A. Tarazaga

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…

动力系统 · 数学 2015-06-02 J. Nathan Kutz , Xing Fu , Steven L. Brunton

The Dynamic Mode Decomposition (DMD)---a popular method for performing data-driven Koopman spectral analysis---has gained increased adoption as a technique for extracting dynamically meaningful spatio-temporal descriptions of fluid flows…

流体动力学 · 物理学 2017-07-13 Maziar S. Hemati , Clarence W. Rowley , Eric A. Deem , Louis N. Cattafesta

Measuring sediment transport in riverbeds has long been a challenging research problem in geomorphology and river engineering. Traditional approaches rely on direct measurements using sediment samplers. Although such measurements are often…

系统与控制 · 电气工程与系统科学 2026-03-31 Shakib Mustavee , Arvind Singh , Shaurya Agarwal

Structural damage detection using non-contact sensing remains a challenging problem in structural health monitoring. This study presents a data-driven framework based on Dynamic Mode Decomposition (DMD) for extracting structural dynamics…

系统与控制 · 电气工程与系统科学 2026-05-05 R K B M Rizmi , Shabbir Ahmed

Mode-based model-reduction is used to reduce the degrees of freedom of high dimensional systems, often by describing the system state by a linear combination of spatial modes. Transport dominated phenomena, ubiquitous in technical and…

数值分析 · 数学 2020-02-28 Julius Reiss