Higher order dynamic mode decomposition to identify and extrapolate flow patterns

Le Clainche Martinez, Soledad and Vega De Prada, Jose Manuel (2017). Higher order dynamic mode decomposition to identify and extrapolate flow patterns. "Physics of Fluids", v. 29 (n. 8); pp.. ISSN 1070-6631. https://doi.org/10.1063/1.4997206.

Description

Title: Higher order dynamic mode decomposition to identify and extrapolate flow patterns
Author/s:
  • Le Clainche Martinez, Soledad
  • Vega De Prada, Jose Manuel
Item Type: Article
Título de Revista/Publicación: Physics of Fluids
Date: August 2017
Volume: 29
Subjects:
Faculty: E.T.S. de Ingeniería Aeronáutica y del Espacio (UPM)
Department: Matemática Aplicada a la Ingeniería Aeroespacial
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

This article shows the capability of using a higher order dynamic mode decomposition (HODMD) algorithm both to identify flow patterns and to extrapolate a transient solution to the attractor region. Numerical simulations are carried out for the three-dimensional flow around a circular cylinder, and both standard dynamic mode decomposition (DMD) and higher order DMD are applied to the nonconverged solution. The good performance of HODMD is proved, showing that this method guesses the converged flow patterns from numerical simulations in the transitional region. The solution obtained can be extrapolated to the attractor region. This fact sheds light on the capability of finding real flow patterns in complex flows and, simultaneously, reducing the computational cost of the numerical simulations or the required quantity of data collected in experiments.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainTRA-2016-75075-RUnspecifiedUnspecifiedUnspecified

More information

Item ID: 50187
DC Identifier: http://oa.upm.es/50187/
OAI Identifier: oai:oa.upm.es:50187
DOI: 10.1063/1.4997206
Official URL: https://aip.scitation.org/doi/full/10.1063/1.4997206
Deposited by: Memoria Investigacion
Deposited on: 03 Aug 2018 08:16
Last Modified: 03 Aug 2018 08:16
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