Reduced-order modeling of turbulent plane Couette flow using the Green’s function method and fluctuation-dissipation theorem

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dc.contributor.advisorPedram, Pedramen_US
dc.contributor.advisorSchaefer, Laura Aen_US
dc.creatorLee, Daviden_US
dc.date.accessioned2020-04-27T19:02:26Zen_US
dc.date.available2021-05-01T05:01:12Zen_US
dc.date.created2020-05en_US
dc.date.issued2020-04-24en_US
dc.date.submittedMay 2020en_US
dc.date.updated2020-04-27T19:02:26Zen_US
dc.description.abstractHigh computational expense prohibits direct numerical simulation of turbulent flows for time-sensitive applications including real-time prediction and control. To address this, reduced-order modeling techniques reduce system dimensionality while maintaining pertinent dynamics. In this thesis, two such techniques---the Green's function method and fluctuation-dissipation theorem---were employed to compute the linear response function of turbulent plane Couette flow at Reynolds numbers of 5,000 and 10,000. Outputs from these methods were validated in both prediction and control applications. The reduced-order models from Green's function method performed well across Reynolds number and problem type, while the model from fluctuation-dissipation theorem performed poorly due to the non-normality of the underlying system. Spectral analysis of the reduced-order model from the Green's function method suggests a previously-unexplored connection with Hankel-dynamic mode decomposition and shows substantial difference in turbulence closure between the Reynolds numbers considered, challenging conventional universal closure models.en_US
dc.embargo.terms2021-05-01en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationLee, David. "Reduced-order modeling of turbulent plane Couette flow using the Green’s function method and fluctuation-dissipation theorem." (2020) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/108383">https://hdl.handle.net/1911/108383</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/108383en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectReduced-order modelingen_US
dc.subjectGreen's function methoden_US
dc.subjectfluctuation-dissipation theoremen_US
dc.subjectturbulenceen_US
dc.subjectplane Couetteen_US
dc.titleReduced-order modeling of turbulent plane Couette flow using the Green’s function method and fluctuation-dissipation theoremen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMechanical Engineeringen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Scienceen_US
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