dc.contributor.author | Vallaghé, Sylvain | |
dc.contributor.author | Patera, Anthony T. | |
dc.date.accessioned | 2014-09-12T17:01:02Z | |
dc.date.available | 2014-09-12T17:01:02Z | |
dc.date.issued | 2014-01 | |
dc.identifier.issn | 1064-8275 | en_US |
dc.identifier.issn | 1095-7197 | en_US |
dc.identifier.uri | http://hdl.handle.net/1721.1/89466 | |
dc.description.abstract | We 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.sponsorship | United States. Office of Naval Research (ONR grant N00014-11-0713) | |
dc.language.iso | en_US | |
dc.publisher | Society for Industrial and Applied Mathematics | |
dc.relation.isversionof | http://dx.doi.org/10.1137/120887709 | en_US |
dc.rights | Article 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.source | Society for Industrial and Applied Mathematics | en_US |
dc.title | The Static Condensation Reduced Basis Element Method for a Mixed-Mean Conjugate Heat Exchanger Model | en_US |
dc.type | Article | en_US |
dc.identifier.citation | Vallaghé, 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.department | Massachusetts Institute of Technology. Department of Mechanical Engineering | |
dc.contributor.mitauthor | Patera, Anthony T. | |
dc.relation.journal | SIAM Journal on Scientific Computing | en_US |
dc.eprint.version | Final published version | en_US |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
dspace.orderedauthors | | en_US |
dc.identifier.orcid | https://orcid.org/0000-0002-2631-6463 | |
mit.license | PUBLISHER_POLICY | en_US |
mit.metadata.status | Complete | |