A dynamic mode decomposition approach for large and arbitrarily sampled systems

Guéniat, Florimond and Mathelin, Lionel and Pastur, Luc (2015) A dynamic mode decomposition approach for large and arbitrarily sampled systems. Physics of Fluids, 27 (2). ISSN 1070-6631

Preview

Text PoF_2015.pdf - Published Version Download (15MB)

Abstract

Detection of coherent structures is of crucial importance for understanding the dynamics of a fluid flow. In this regard, the recently introduced Dynamic Mode Decomposition (DMD) has raised an increasing interest in the community. It allows to efficiently determine the dominant spatial modes, and their associated growth rate and frequency in time, responsible for describing the time-evolution of an observation of the physical system. However, the underlying algorithm requires uniformly sampled and time-resolved data, which may limit its usability in practical situations. Further, the computational cost associated with the DMD analysis of a large dataset is high, both in terms of central processing unit and memory. In this contribution, we present an alternative algorithm to achieve this decomposition, overcoming the above-mentioned limitations. A synthetic case, a two-dimensional restriction of an experimental flow over an open cavity, and a large-scale three-dimensional simulation, provide examples to illustrate the method.

Item Type:	Article
Additional Information:	This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in (Physics of Fluids (1994-present) 27, 025113 (2015); doi: 10.1063/1.4908073 ) and may be found at (https://aip.scitation.org/doi/pdf/10.1063/1.4908073?class=pdf).
Identification Number:	10.1063/1.4908073
Dates:	Date Event 19 February 2015 Published Online 2 February 2015 Accepted
Subjects:	CAH07 - physical sciences > CAH07-04 - general, applied and forensic sciences > CAH07-04-01 - physical sciences (non-specific) CAH10 - engineering and technology > CAH10-01 - engineering > CAH10-01-01 - engineering (non-specific) CAH10 - engineering and technology > CAH10-01 - engineering > CAH10-01-10 - others in engineering
Divisions:	Faculty of Computing, Engineering and the Built Environment > College of Engineering
Depositing User:	Euan Scott
Date Deposited:	17 Jan 2019 11:37
Last Modified:	20 Jun 2024 11:51
URI:	https://www.open-access.bcu.ac.uk/id/eprint/6861

Actions (login required)

View Item