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dc.contributor.authorVallaghé, Sylvain
dc.contributor.authorPatera, Anthony T.
dc.date.accessioned2014-09-12T17:01:02Z
dc.date.available2014-09-12T17:01:02Z
dc.date.issued2014-01
dc.identifier.issn1064-8275en_US
dc.identifier.issn1095-7197en_US
dc.identifier.urihttp://hdl.handle.net/1721.1/89466
dc.description.abstractWe propose a new approach for the simulation of conjugate heat exchangers. First, we introduce a dimensionality-reduced mathematical model for conjugate (fluid-solid) heat transfer: in the fluid channels, we consider a mixed-mean temperature defined on one-dimensional filaments; in the solid we consider a detailed partial differential equation conduction representation. We then propose a Petrov--Galerkin finite element (FE) numerical approximation which provides suitable stability and accuracy for our mathematical model. We next apply the static condensation reduced basis element (scRBE) method: a domain synthesis approach with parametric model order reduction at the intradomain level to populate a Schur complement at the interdomain level. We first build a library of “components,” each corresponding to a subdomain with a simple fluid channel geometry; for each component, we prepare Petrov--Galerkin reduced basis bubble approximations (and error bounds). We then assemble the system equations by static condensation and solve for the temperature distribution in the full domain. System-level error bounds are derived from matrix perturbation arguments; we also introduce a new output error bound which is sharper than the original scRBE estimator. We present numerical results for a two-dimensional automotive radiator model which demonstrate the flexibility, accuracy, and computational efficiency of our approach.
dc.description.sponsorshipUnited States. Office of Naval Research (ONR grant N00014-11-0713)
dc.language.isoen_US
dc.publisherSociety for Industrial and Applied Mathematics
dc.relation.isversionofhttp://dx.doi.org/10.1137/120887709en_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.sourceSociety for Industrial and Applied Mathematicsen_US
dc.titleThe Static Condensation Reduced Basis Element Method for a Mixed-Mean Conjugate Heat Exchanger Modelen_US
dc.typeArticleen_US
dc.identifier.citationVallaghé, Sylvain, and Anthony T. Patera. “The Static Condensation Reduced Basis Element Method for a Mixed-Mean Conjugate Heat Exchanger Model.” SIAM Journal on Scientific Computing 36, no. 3 (January 2014): B294–B320.© 2014, Society for Industrial and Applied Mathematics.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mechanical Engineering
dc.contributor.mitauthorPatera, Anthony T.
dc.relation.journalSIAM Journal on Scientific Computingen_US
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dspace.orderedauthorsen_US
dc.identifier.orcidhttps://orcid.org/0000-0002-2631-6463
mit.licensePUBLISHER_POLICYen_US
mit.metadata.statusComplete


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