Approximate Deconvolution Reduced Order Modeling

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dc.contributor.authorXie, Xupingen
dc.contributor.committeechairIliescu, Traianen
dc.contributor.committeememberGugercin, Serkanen
dc.contributor.committeememberLin, Taoen
dc.contributor.departmentMathematicsen
dc.date.accessioned2017-06-13T19:43:33Zen
dc.date.adate2016-02-01en
dc.date.available2017-06-13T19:43:33Zen
dc.date.issued2015-11-03en
dc.date.rdate2016-02-01en
dc.date.sdate2015-11-23en
dc.description.abstractThis thesis proposes a large eddy simulation reduced order model (LES-ROM) framework for the numerical simulation of realistic flows. In this LES-ROM framework, the proper orthogonal decomposition (POD) is used to define the ROM basis and a POD differential filter is used to define the large ROM structures. An approximate deconvolution (AD) approach is used to solve the ROM closure problem and develop a new AD-ROM. This AD-ROM is tested in the numerical simulation of the one-dimensional Burgers equation with a small diffusion coefficient ( ν= 10⁻³).en
dc.description.degreeMaster of Scienceen
dc.identifier.otheretd-11232015-161835en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-11232015-161835/en
dc.identifier.urihttp://hdl.handle.net/10919/78043en
dc.language.isoen_USen
dc.publisherVirginia Techen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectapproximate deconvolutionen
dc.subjectlarge eddy simulationen
dc.subjectreduced order modelingen
dc.subjectinverse problemsen
dc.subjectregularizationen
dc.titleApproximate Deconvolution Reduced Order Modelingen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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