author_facet Massa, L.
Kumar, R.
Ravindran, P.
Massa, L.
Kumar, R.
Ravindran, P.
author Massa, L.
Kumar, R.
Ravindran, P.
spellingShingle Massa, L.
Kumar, R.
Ravindran, P.
Physics of Fluids
Dynamic mode decomposition analysis of detonation waves
Condensed Matter Physics
Fluid Flow and Transfer Processes
Mechanics of Materials
Computational Mechanics
Mechanical Engineering
author_sort massa, l.
spelling Massa, L. Kumar, R. Ravindran, P. 1070-6631 1089-7666 AIP Publishing Condensed Matter Physics Fluid Flow and Transfer Processes Mechanics of Materials Computational Mechanics Mechanical Engineering http://dx.doi.org/10.1063/1.4727715 <jats:p>Dynamic mode decomposition is applied to study the self-excited fluctuations supported by transversely unstable detonations. The focus of this study is on the stability of the limit cycle solutions and their response to forcing. Floquet analysis of the unforced conditions reveals that the least stable perturbations are almost subharmonic with ratio between global mode and fundamental frequency λi/ωf = 0.47. This suggests the emergence of period doubling modes as the route to chaos observed in larger systems. The response to forcing is analyzed in terms of the coherency of the four fundamental energy modes: acoustic, entropic, kinetic, and chemical. Results of the modal decomposition suggest that the self-excited oscillations are quite insensitive to vortical forcing, and maintain their coherency up to a forcing turbulent Mach number of 0.3.</jats:p> Dynamic mode decomposition analysis of detonation waves Physics of Fluids
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title Dynamic mode decomposition analysis of detonation waves
title_unstemmed Dynamic mode decomposition analysis of detonation waves
title_full Dynamic mode decomposition analysis of detonation waves
title_fullStr Dynamic mode decomposition analysis of detonation waves
title_full_unstemmed Dynamic mode decomposition analysis of detonation waves
title_short Dynamic mode decomposition analysis of detonation waves
title_sort dynamic mode decomposition analysis of detonation waves
topic Condensed Matter Physics
Fluid Flow and Transfer Processes
Mechanics of Materials
Computational Mechanics
Mechanical Engineering
url http://dx.doi.org/10.1063/1.4727715
publishDate 2012
physical
description <jats:p>Dynamic mode decomposition is applied to study the self-excited fluctuations supported by transversely unstable detonations. The focus of this study is on the stability of the limit cycle solutions and their response to forcing. Floquet analysis of the unforced conditions reveals that the least stable perturbations are almost subharmonic with ratio between global mode and fundamental frequency λi/ωf = 0.47. This suggests the emergence of period doubling modes as the route to chaos observed in larger systems. The response to forcing is analyzed in terms of the coherency of the four fundamental energy modes: acoustic, entropic, kinetic, and chemical. Results of the modal decomposition suggest that the self-excited oscillations are quite insensitive to vortical forcing, and maintain their coherency up to a forcing turbulent Mach number of 0.3.</jats:p>
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author Massa, L., Kumar, R., Ravindran, P.
author_facet Massa, L., Kumar, R., Ravindran, P., Massa, L., Kumar, R., Ravindran, P.
author_sort massa, l.
container_issue 6
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description <jats:p>Dynamic mode decomposition is applied to study the self-excited fluctuations supported by transversely unstable detonations. The focus of this study is on the stability of the limit cycle solutions and their response to forcing. Floquet analysis of the unforced conditions reveals that the least stable perturbations are almost subharmonic with ratio between global mode and fundamental frequency λi/ωf = 0.47. This suggests the emergence of period doubling modes as the route to chaos observed in larger systems. The response to forcing is analyzed in terms of the coherency of the four fundamental energy modes: acoustic, entropic, kinetic, and chemical. Results of the modal decomposition suggest that the self-excited oscillations are quite insensitive to vortical forcing, and maintain their coherency up to a forcing turbulent Mach number of 0.3.</jats:p>
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spelling Massa, L. Kumar, R. Ravindran, P. 1070-6631 1089-7666 AIP Publishing Condensed Matter Physics Fluid Flow and Transfer Processes Mechanics of Materials Computational Mechanics Mechanical Engineering http://dx.doi.org/10.1063/1.4727715 <jats:p>Dynamic mode decomposition is applied to study the self-excited fluctuations supported by transversely unstable detonations. The focus of this study is on the stability of the limit cycle solutions and their response to forcing. Floquet analysis of the unforced conditions reveals that the least stable perturbations are almost subharmonic with ratio between global mode and fundamental frequency λi/ωf = 0.47. This suggests the emergence of period doubling modes as the route to chaos observed in larger systems. The response to forcing is analyzed in terms of the coherency of the four fundamental energy modes: acoustic, entropic, kinetic, and chemical. Results of the modal decomposition suggest that the self-excited oscillations are quite insensitive to vortical forcing, and maintain their coherency up to a forcing turbulent Mach number of 0.3.</jats:p> Dynamic mode decomposition analysis of detonation waves Physics of Fluids
spellingShingle Massa, L., Kumar, R., Ravindran, P., Physics of Fluids, Dynamic mode decomposition analysis of detonation waves, Condensed Matter Physics, Fluid Flow and Transfer Processes, Mechanics of Materials, Computational Mechanics, Mechanical Engineering
title Dynamic mode decomposition analysis of detonation waves
title_full Dynamic mode decomposition analysis of detonation waves
title_fullStr Dynamic mode decomposition analysis of detonation waves
title_full_unstemmed Dynamic mode decomposition analysis of detonation waves
title_short Dynamic mode decomposition analysis of detonation waves
title_sort dynamic mode decomposition analysis of detonation waves
title_unstemmed Dynamic mode decomposition analysis of detonation waves
topic Condensed Matter Physics, Fluid Flow and Transfer Processes, Mechanics of Materials, Computational Mechanics, Mechanical Engineering
url http://dx.doi.org/10.1063/1.4727715