Real-Time Reliable Simulation of Heat Transfer Phenomena
The first URL is to the main conference page; the second is to a random site that houses bib data and the paper.
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Society of Mechanical Engineers
2011
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| Online Access: | http://hdl.handle.net/1721.1/62003 https://orcid.org/0000-0002-2631-6463 |
| _version_ | 1811068438052864000 |
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| author | Rozza, G. (Gianluigi) Huynh, Dinh Bao Phuong Nguyen, Ngoc Cuong Patera, Anthony T. |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Rozza, G. (Gianluigi) Huynh, Dinh Bao Phuong Nguyen, Ngoc Cuong Patera, Anthony T. |
| author_sort | Rozza, G. (Gianluigi) |
| collection | MIT |
| description | The first URL is to the main conference page; the second is to a random site that houses bib data and the paper. |
| first_indexed | 2024-09-23T07:56:00Z |
| format | Article |
| id | mit-1721.1/62003 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T07:56:00Z |
| publishDate | 2011 |
| publisher | American Society of Mechanical Engineers |
| record_format | dspace |
| spelling | mit-1721.1/620032022-09-30T01:05:33Z Real-Time Reliable Simulation of Heat Transfer Phenomena Rozza, G. (Gianluigi) Huynh, Dinh Bao Phuong Nguyen, Ngoc Cuong Patera, Anthony T. Massachusetts Institute of Technology. Department of Mechanical Engineering Patera, Anthony T. Patera, Anthony T. Nguyen, Ngoc Cuong The first URL is to the main conference page; the second is to a random site that houses bib data and the paper. In this paper we discuss the application of the certified reduced basis method and the associated software package rbMIT (c) to "worked problems" in steady and unsteady conduction. Each worked problem is characterized by an input parameter vector --- material properties, boundary conditions and sources, and geometry --- and desired outputs --- selected fluxes and temperatures. The methodology and associated rbMIT(c) software, as well as the educational worked problem framework, consists of two distinct stages: an Offline (or "Instructor") stage in which a new heat transfer worked problem is first created; and an Online (or "Lecturer"/"Student") stage in which the worked problem is subsequently invoked in (say) various in--class, project, or homework settings. In the very inexpensive Online stage, given an input parameter value, the software returns both (i) an accurate reduced basis output prediction, and (ii) a rigorous bound for the error in the reduced basis prediction relative to an underlying expensive high-fidelity finite element discretization; as required in the educational context, the response is both rapid and reliable. We present illustrative results for two worked problems: a steady thermal fin, and unsteady thermal analysis of a delamination crack. United States. Air Force Office of Scientific Research (AFOSR Grant No FA9550-05-1-0114) United States. Air Force Office of Scientific Research (FA- 9550-07-1-0425) Singapore-MIT Alliance Massachusetts Institute of Technology. Dept. of Mechanical Engineering (Pappalardo Book Fund) 2011-03-30T20:16:06Z 2011-03-30T20:16:06Z 2009-07 Article http://purl.org/eprint/type/ConferencePaper HT2009-88212 http://hdl.handle.net/1721.1/62003 Rozza, G. et al. "Real-Time Reliable Simulation of Heat Transfer Phenomena." Proceedings of HT2009, 2009 ASME Summer Heat Transfer Conference July 19-23, 2009, San Francisco, California, USA © 2009 ASME. https://orcid.org/0000-0002-2631-6463 en_US http://www.asmeconferences.org/HT09/; http://infoscience.epfl.ch/record/137298 Proceedings of the 2009 ASME Summer Heat Transfer Conference, HT2009 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. application/pdf American Society of Mechanical Engineers MIT web domain |
| spellingShingle | Rozza, G. (Gianluigi) Huynh, Dinh Bao Phuong Nguyen, Ngoc Cuong Patera, Anthony T. Real-Time Reliable Simulation of Heat Transfer Phenomena |
| title | Real-Time Reliable Simulation of Heat Transfer Phenomena |
| title_full | Real-Time Reliable Simulation of Heat Transfer Phenomena |
| title_fullStr | Real-Time Reliable Simulation of Heat Transfer Phenomena |
| title_full_unstemmed | Real-Time Reliable Simulation of Heat Transfer Phenomena |
| title_short | Real-Time Reliable Simulation of Heat Transfer Phenomena |
| title_sort | real time reliable simulation of heat transfer phenomena |
| url | http://hdl.handle.net/1721.1/62003 https://orcid.org/0000-0002-2631-6463 |
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