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dc.contributor.authorVohra, Manav
dc.contributor.authorHuan, Xun
dc.contributor.authorWeihs, Timothy P.
dc.contributor.authorKnio, Omar
dc.date.accessioned2017-06-12T11:07:19Z
dc.date.available2017-06-12T11:07:19Z
dc.date.issued2017-05-29
dc.identifier.citationVohra M, Huan X, Weihs TP, Knio OM (2017) Design analysis for optimal calibration of diffusivity in reactive multilayers. Combustion Theory and Modelling: 1–27. Available: http://dx.doi.org/10.1080/13647830.2017.1329938.
dc.identifier.issn1364-7830
dc.identifier.issn1741-3559
dc.identifier.doi10.1080/13647830.2017.1329938
dc.identifier.urihttp://hdl.handle.net/10754/624946
dc.description.abstractCalibration of the uncertain Arrhenius diffusion parameters for quantifying mixing rates in Zr–Al nanolaminate foils have been previously performed in a Bayesian setting [M. Vohra, J. Winokur, K.R. Overdeep, P. Marcello, T.P. Weihs, and O.M. Knio, Development of a reduced model of formation reactions in Zr–Al nanolaminates, J. Appl. Phys. 116(23) (2014): Article No. 233501]. The parameters were inferred in a low-temperature, homogeneous ignition regime, and a high-temperature self-propagating reaction regime. In this work, we extend the analysis to determine optimal experimental designs that would provide the best data for inference. We employ a rigorous framework that quantifies the expected information gain in an experiment, and find the optimal design conditions using Monte Carlo techniques, sparse quadrature, and polynomial chaos surrogates. For the low-temperature regime, we find the optimal foil heating rate and pulse duration, and confirm through simulation that the optimal design indeed leads to sharp posterior distributions of the diffusion parameters. For the high-temperature regime, we demonstrate the potential for increasing the expected information gain concerning the posteriors by increasing the sample size and reducing the uncertainty in measurements. Moreover, posterior marginals are also obtained to verify favourable experimental scenarios.
dc.description.sponsorshipThe authors are grateful to Dr Justin Winokur for providing the aPSP codes used to construct model surrogates.
dc.publisherInforma UK Limited
dc.relation.urlhttp://www.tandfonline.com/doi/full/10.1080/13647830.2017.1329938
dc.rightsThis is an Accepted Manuscript of an article published by Taylor & Francis in Combustion Theory and Modelling on 29 May 2017, available online: http://wwww.tandfonline.com/10.1080/13647830.2017.1329938.
dc.subjectBayesian inference
dc.subjecthomogeneous ignition
dc.subjectoptimal experimental design
dc.subjectreactive multilayer
dc.subjectself-propagating reaction
dc.titleDesign analysis for optimal calibration of diffusivity in reactive multilayers
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalCombustion Theory and Modelling
dc.eprint.versionPost-print
dc.contributor.institutionDepartment of Mechanical Engineering and Materials Science, Duke University, Durham, USA
dc.contributor.institutionDepartment of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, USA
dc.contributor.institutionDepartment of Materials Science and Engineering, The Johns Hopkins University, Baltimore, USA
kaust.personKnio, Omar
refterms.dateFOA2018-05-29T00:00:00Z


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