TY - JOUR
T1 - Dynamic mode decomposition of a direct numerical simulation of a turbulent premixed planar jet flame
T2 - convergence of the modes
AU - Grenga, Temistocle
AU - MacArt, Jonathan F.
AU - Mueller, Michael Edward
N1 - 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.
PY - 2018/7/4
Y1 - 2018/7/4
N2 - 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.
AB - 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.
KW - Direct Numerical Simulation (DNS)
KW - Dynamic Mode Decomposition (DMD)
KW - coherent mode decomposition
KW - dynamic phenomena
KW - turbulent premixed combustion
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U2 - 10.1080/13647830.2018.1457799
DO - 10.1080/13647830.2018.1457799
M3 - Article
AN - SCOPUS:85046435727
SN - 1364-7830
VL - 22
SP - 795
EP - 811
JO - Combustion Theory and Modelling
JF - Combustion Theory and Modelling
IS - 4
ER -