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

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Official URL: https://aip.scitation.org/doi/10.1063/1.4908073

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 andfrequencyintime,responsiblefordescribingthetime-evolutionofanobservation ofthephysicalsystemathand.However,theunderlyingalgorithmrequiresuniformly 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.

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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).

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https://doi.org/10.1063/1.4908073

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