Dynamic mode decomposition of a direct numerical simulation of a turbulent premixed planar jet flame: convergence of the modes
Dynamic mode decomposition of a direct numerical simulation of a turbulent premixed planar jet flame: convergence of the modes
Dynamic Mode Decomposition (DMD) is a technique that enables investigation of unsteady and dynamic phenomena by decomposing data into coherent modes with corresponding growth rates and oscillatory frequencies. Because the method identifies structures unbiased by energy, it is particularly well suited to exploring dynamic processes having phenomena that span disparate temporal and spatial scales. In turbulent combustion, DMD has been previously applied to the analysis of narrowband phenomena such as combustion instabilities utilising both experimental and computational data. In this work, DMD is used as a tool to analyse broadband turbulent combustion phenomena from a three-dimensional direct numerical simulation of a low Mach number spatially-evolving turbulent planar premixed hydrogen/air jet flame. The focus of this investigation is on defining the metric of convergence of the DMD modes for broadband phenomena when both the temporal resolution and number of data snapshots can be varied independently. The residual is identified as an effective, even if imperfect, metric for judging convergence of the DMD modes. Other metrics–specifically, the convergence of the mode eigenvalues and the decay of the amplitudes of the modes–fail to capture convergence of the modes independently but do complete the information needed to evaluate the quality of the DMD analysis.
coherent mode decomposition, Direct Numerical Simulation (DNS), Dynamic Mode Decomposition (DMD), dynamic phenomena, turbulent premixed combustion
795-811
Grenga, Temistocle
be0eba30-74b5-4134-87e7-3a2d6dd3836f
MacArt, Jonathan F.
1384a548-486e-4fae-9d5c-4177b0ed7825
Mueller, Michael E.
de069534-2aa2-4382-a380-0f3fdbfc6526
3 May 2018
Grenga, Temistocle
be0eba30-74b5-4134-87e7-3a2d6dd3836f
MacArt, Jonathan F.
1384a548-486e-4fae-9d5c-4177b0ed7825
Mueller, Michael E.
de069534-2aa2-4382-a380-0f3fdbfc6526
Grenga, Temistocle, MacArt, Jonathan F. and Mueller, Michael E.
(2018)
Dynamic mode decomposition of a direct numerical simulation of a turbulent premixed planar jet flame: convergence of the modes.
Combustion Theory and Modelling, 22 (4), .
(doi:10.1080/13647830.2018.1457799).
Abstract
Dynamic Mode Decomposition (DMD) is a technique that enables investigation of unsteady and dynamic phenomena by decomposing data into coherent modes with corresponding growth rates and oscillatory frequencies. Because the method identifies structures unbiased by energy, it is particularly well suited to exploring dynamic processes having phenomena that span disparate temporal and spatial scales. In turbulent combustion, DMD has been previously applied to the analysis of narrowband phenomena such as combustion instabilities utilising both experimental and computational data. In this work, DMD is used as a tool to analyse broadband turbulent combustion phenomena from a three-dimensional direct numerical simulation of a low Mach number spatially-evolving turbulent planar premixed hydrogen/air jet flame. The focus of this investigation is on defining the metric of convergence of the DMD modes for broadband phenomena when both the temporal resolution and number of data snapshots can be varied independently. The residual is identified as an effective, even if imperfect, metric for judging convergence of the DMD modes. Other metrics–specifically, the convergence of the mode eigenvalues and the decay of the amplitudes of the modes–fail to capture convergence of the modes independently but do complete the information needed to evaluate the quality of the DMD analysis.
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Published date: 3 May 2018
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Funding Information:
The authors gratefully acknowledge valuable support in the form of computational time on the TIGRESS high-performance computer center at Princeton University, which is jointly supported by the Princeton Institute for Computational Science and Engineering (PICSciE) and the Princeton University Office of Information Technology’s Research Computing department.
Funding Information:
The authors gratefully acknowledge valuable support in the form of computational time on the TIGRESS high-performance computer center at Princeton University, which is jointly supported by the Princeton Institute for Computational Science and Engineering (PICSciE) and the Princeton University Office of Information Technology's Research Computing department.
Publisher Copyright:
© 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group.
Keywords:
coherent mode decomposition, Direct Numerical Simulation (DNS), Dynamic Mode Decomposition (DMD), dynamic phenomena, turbulent premixed combustion
Identifiers
Local EPrints ID: 480923
URI: http://eprints.soton.ac.uk/id/eprint/480923
ISSN: 1364-7830
PURE UUID: ff4ac8d1-4430-459e-8be1-fcf684f4584c
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Date deposited: 10 Aug 2023 16:59
Last modified: 18 Mar 2024 04:10
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Author:
Temistocle Grenga
Author:
Jonathan F. MacArt
Author:
Michael E. Mueller
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