Dynamic dimension reduction for thin-film deposition reaction network models

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dc.contributor.authorAdomaitis, Raymond
dc.date.accessioned2018-06-20T18:50:24Z
dc.date.available2018-06-20T18:50:24Z
dc.date.issued2016-06-06
dc.description.abstractA prototype thin-film deposition model is developed and subsequently used in a sequence of model reduction procedures, ultimately reducing the dynamic dimension from six to one with essentially no loss in accuracy to the dynamics of the deposition process. The species balance model consists of a singular perturbation problem of nonstandard form which first is numerically solved following the approach of Daoutidis (2015). An alternative strategy then is presented, consisting of a reaction factorization procedure which facilitates the solution of the outer solution of the singular perturbation problem and provides unique physical insight into the conserved quantities (reaction invariants) identified by the elimination of redundant dynamic modes. Further reduction in dynamic dimension then is achieved through a second factorization focused only on the major reaction species. This second reduction procedure identifies pseudo- equilibria of finite-rate properties and introduces an additional level of complexity to the challenges of identifying consistent initial conditions for DAE systems.en_US
dc.description.sponsorshipNational Science Foundation through grants CBET1160132 and CBET1438375en_US
dc.identifierhttps://doi.org/10.13016/M2ZS2KG86
dc.identifier.citationPreprint, 11th IFAC Symposium on Dynamics and Control of Process Systems, including Biosystems, June 6-8, 2016. NTNU, Trondheim, Norwayen_US
dc.identifier.urihttp://hdl.handle.net/1903/20664
dc.language.isoen_USen_US
dc.publisherIFACen_US
dc.relation.isAvailableAtInstitute for Systems Researchen_us
dc.relation.isAvailableAtDigital Repository at the University of Marylanden_us
dc.relation.isAvailableAtUniversity of Maryland (College Park, MD)en_us
dc.relation.ispartofseriesISR;TR_2018-01
dc.subjectchemical reaction network analysisen_US
dc.subjectmodel reductionen_US
dc.subjectsingular perturbation analysisen_US
dc.subjectreaction invarianten_US
dc.titleDynamic dimension reduction for thin-film deposition reaction network modelsen_US
dc.typePreprinten_US

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