Guide to spectral proper orthogonal decomposition

OT Schmidt, T Colonius - Aiaa journal, 2020 - arc.aiaa.org
This paper discusses the spectral proper orthogonal decomposition and its use in identifying
modes, or structures, in flow data. A specific algorithm based on estimating the cross …

Spectral proper orthogonal decomposition and its relationship to dynamic mode decomposition and resolvent analysis

A Towne, OT Schmidt, T Colonius - Journal of Fluid Mechanics, 2018 - cambridge.org
We consider the frequency domain form of proper orthogonal decomposition (POD), called
spectral proper orthogonal decomposition (SPOD). Spectral POD is derived from a space …

Multi-scale proper orthogonal decomposition of complex fluid flows

MA Mendez, M Balabane, JM Buchlin - Journal of Fluid Mechanics, 2019 - cambridge.org
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 …

Nonlinear model order reduction via dynamic mode decomposition

A Alla, JN Kutz - SIAM Journal on Scientific Computing, 2017 - SIAM
We propose a new technique for obtaining reduced order models for nonlinear dynamical
systems. Specifically, we advocate the use of the recently developed dynamic mode …

Estimation of perturbations in robotic behavior using dynamic mode decomposition

E Berger, M Sastuba, D Vogt, B Jung… - Advanced …, 2015 - Taylor & Francis
Physical human–robot interaction tasks require robots that can detect and react to external
perturbations caused by the human partner. In this contribution, we present a machine …

An improved algorithm for the shallow water equations model reduction: Dynamic Mode Decomposition vs POD

DA Bistrian, IM Navon - International Journal for Numerical …, 2015 - Wiley Online Library
We propose an improved framework for dynamic mode decomposition (DMD) of 2‐D flows
for problems originating from meteorology when a large time step acts like a filter in …

Multiscale proper orthogonal decomposition (mPOD) of TR-PIV data—a case study on stationary and transient cylinder wake flows

MA Mendez, D Hess, BB Watz… - … Science and Technology, 2020 - iopscience.iop.org
Data-driven decompositions of particle image velocimetry (PIV) measurements are widely
used for a variety of purposes, including the detection of coherent features (eg vortical …

Large eddy simulations and modal decomposition analysis of flow past a cylinder subject to flow-induced vibration

MJ Janocha, MC Ong, G Yin - Physics of Fluids, 2022 - pubs.aip.org
Large eddy simulations (LES) are carried out to investigate the flow around a vibrating
cylinder in the subcritical Reynolds number regime at Re= 3900. Three reduced velocities, U …

Deep neural network for learning wave scattering and interference of underwater acoustics

W Mallik, R Jaiman, J Jelovica - Physics of Fluids, 2024 - pubs.aip.org
It is challenging to construct generalized physical models of underwater wave propagation
owing to their complex physics and widely varying environmental parameters and dynamical …

[HTML][HTML] A dynamic mode decomposition technique for the analysis of non–uniformly sampled flow data

B Li, J Garicano-Mena, E Valero - Journal of Computational Physics, 2022 - Elsevier
Abstract A novel Dynamic Mode Decomposition (DMD) technique capable of handling non–
uniformly sampled data is proposed. As it is usual in DMD analysis, a linear relationship …