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We investigate numerically the 3-D flow around a squareback Ahmed body at Reynolds number Re = 104. Proper Orthogonal Decomposition (POD) is applied to a symmetry-augmented database in order to describe and model the flow dynamics.…

流体动力学 · 物理学 2020-07-01 Berengère Podvin , Stéphanie Pellerin , Yann Fraigneau , Antoine Evrard , Olivier Cadot

The selective frequency damping (SFD) method is an alternative to classical Newton's method to obtain unstable steady-state solutions of dynamical systems. However this method has two main limitations: it does not converge for arbitrary…

流体动力学 · 物理学 2015-10-28 Bastien E. Jordi , Colin J. Cotter , Spencer J. Sherwin

Wind farm design primarily depends on the variability of the wind turbine wake flows to the atmospheric wind conditions, and the interaction between wakes. Physics-based models that capture the wake flow-field with high-fidelity are…

机器学习 · 计算机科学 2021-11-17 S. Ashwin Renganathan , Romit Maulik , Stefano Letizia , Giacomo Valerio Iungo

We present experiments on oscillating hydrofoils undergoing combined heaving and pitching motions, paying particular attention to connections between propulsive efficiency and coherent wake features extracted using modal analysis.…

流体动力学 · 物理学 2024-06-05 Morgan R. Jones , Mitul Luhar , Eva Kanso

The Dynamic Mode Decomposition (DMD) is a tool of trade in computational data driven analysis of fluid flows. More generally, it is a computational device for Koopman spectral analysis of nonlinear dynamical systems, with a plethora of…

数值分析 · 数学 2017-08-10 Zlatko Drmač , Igor Mezić , Ryan Mohr

The dynamic security assessment of power systems needs to scan contingencies in a preselected set through time-domain simulations. With more and more inverter-based-generation, such as wind and solar power generation, integrated into power…

系统与控制 · 电气工程与系统科学 2022-11-24 Dongsheng Li , Chen Shen , Ye Liu , Ying Chen , Shaowei Huang

Dynamic mode decomposition (DMD) is an efficient tool for decomposing spatio-temporal data into a set of low-dimensional modes, yielding the oscillation frequencies and the growth rates of physically significant modes. In this paper, we…

动力系统 · 数学 2023-02-21 Minwoo Lee , Jongho Park

Koopman decomposition is a non-linear generalization of eigen-decomposition, and is being increasingly utilized in the analysis of spatio-temporal dynamics. Well-known techniques such as the dynamic mode decomposition (DMD) and its linear…

动力系统 · 数学 2021-05-12 Shaowu Pan , Nicholas Arnold-Medabalimi , Karthik Duraisamy

In this two-part article, we evaluate the utility and the generalizability of the Dynamic Mode Decomposition (DMD) algorithm for data-driven analysis and reduced-order modelling of plasma dynamics in cross-field ExB configurations. The DMD…

等离子体物理 · 物理学 2023-08-29 Farbod Faraji , Maryam Reza , Aaron Knoll , J. Nathan Kutz

Dynamic mode decomposition (DMD) is a powerful data-driven technique for construction of reduced-order models of complex dynamical systems. Multiple numerical tests have demonstrated the accuracy and efficiency of DMD, but mostly for…

数值分析 · 数学 2021-07-28 Hannah Lu , Daniel M. Tartakovsky

Dynamic mode decomposition (DMD) is a data-driven method for estimating the dynamics of a discrete dynamical system. This paper proposes a tensor-based approach to DMD for applications in which the states can be viewed as tensors.…

数值分析 · 数学 2025-08-15 Arvind K. Saibaba , Misha E. Kilmer , Khalil Hall-Hooper , Fan Tian , Alex Mize

We present a numerical methodology for construction of reduced order models, ROMs, of fluid flows through the combination of flow modal decomposition and regression analysis. Spectral proper orthogonal decomposition, SPOD, is applied to…

流体动力学 · 物理学 2019-07-24 Hugo F. S. Lui , William R. Wolf

Koopman operator theory shows how nonlinear dynamical systems can be represented as an infinite-dimensional, linear operator acting on a Hilbert space of observables of the system. However, determining the relevant modes and eigenvalues of…

机器学习 · 计算机科学 2022-04-06 Daniel J. Alford-Lago , Christopher W. Curtis , Alexander T. Ihler , Opal Issan

The dynamic mode decomposition (DMD) is a broadly applicable dimensionality reduction algorithm that approximates a matrix containing time-series data by the outer product of a matrix of exponentials, representing Fourier-like time…

最优化与控制 · 数学 2017-12-07 Travis Askham , Peng Zheng , Aleksandr Aravkin , J. Nathan Kutz

Direct Statistical Simulation (DSS) solves the equations of motion for the statistics of turbulent flows in place of the traditional route of accumulating statistics by Direct Numerical Simulation (DNS). That low-order statistics usually…

流体动力学 · 物理学 2020-07-15 Altan Allawala , S. M. Tobias , J. B. Marston

Dynamic Mode Decomposition (DMD) yields a linear, approximate model of a system's dynamics that is built from data. We seek to reduce the order of this model by identifying a reduced set of modes that best fit the output. We adopt a model…

机器学习 · 统计学 2020-01-20 John Graff , Xianzhang Xu , Francis D. Lagor , Tarunraj Singh

We propose a new method for computing Dynamic Mode Decomposition (DMD) evolution matrices, which we use to analyze dynamical systems. Unlike the majority of existing methods, our approach is based on a variational formulation consisting of…

数值分析 · 数学 2019-05-24 Omri Azencot , Wotao Yin , Andrea Bertozzi

Numerous studies have shown that wind turbine wakes within a large wind farm bring about changes to both the dynamics and thermodynamics of the atmospheric boundary layers (ABL). Previously, we investigated the relative humidity budget…

流体动力学 · 物理学 2019-09-02 Adrian Sescu , John Haywood , Kevin Adkins

This paper introduces a dynamic parametric wind farm model that is capable of simulating floating wind turbine platform motion coupled with wake transport under time-varying wind conditions. The simulator is named FOWFSim-Dyn as it is a…

流体动力学 · 物理学 2020-10-21 Ali C. Kheirabadi , Ryozo Nagamune

We present a new methodology for decomposing flows with multiple transports that further extends the shifted proper orthogonal decomposition (sPOD). The sPOD tries to approximate transport-dominated flows by a sum of co-moving data fields.…

数值分析 · 数学 2025-03-07 Philipp Krah , Arthur Marmin , Beata Zorawski , Julius Reiss , Kai Schneider