High-fidelity real-time simulation on deployed platforms
We present a certified reduced basis method for high-fidelity real-time solution of parametrized partial differential equations on deployed platforms. Applications include in situ parameter estimation, adaptive design and control, interactive synthesis and visualization, and individuated product spe...
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Elsevier
2015
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Online Access: | http://hdl.handle.net/1721.1/98594 https://orcid.org/0000-0002-2794-1308 https://orcid.org/0000-0002-2631-6463 |
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author | Peterson, J.W. Huynh, Dinh Bao Phuong Knezevic, David Patera, Anthony T. |
author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Peterson, J.W. Huynh, Dinh Bao Phuong Knezevic, David Patera, Anthony T. |
author_sort | Peterson, J.W. |
collection | MIT |
description | We present a certified reduced basis method for high-fidelity real-time solution of parametrized partial differential equations on deployed platforms. Applications include in situ parameter estimation, adaptive design and control, interactive synthesis and visualization, and individuated product specification. We emphasize a new hierarchical architecture particularly well suited to the reduced basis computational paradigm: the expensive Offline stage is conducted pre-deployment on a parallel supercomputer (in our examples, the TeraGrid machine Ranger); the inexpensive Online stage is conducted “in the field” on ubiquitous thin/inexpensive platforms such as laptops, tablets, smartphones (in our examples, the Nexus One Android-based phone), or embedded chips. We illustrate our approach with three examples: a two-dimensional Helmholtz acoustics “horn” problem; a three-dimensional transient heat conduction “Swiss Cheese” problem; and a three-dimensional unsteady incompressible Navier–Stokes low-Reynolds-number “eddy-promoter” problem. |
first_indexed | 2024-09-23T11:53:08Z |
format | Article |
id | mit-1721.1/98594 |
institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T11:53:08Z |
publishDate | 2015 |
publisher | Elsevier |
record_format | dspace |
spelling | mit-1721.1/985942022-09-27T22:34:33Z High-fidelity real-time simulation on deployed platforms Peterson, J.W. Huynh, Dinh Bao Phuong Knezevic, David Patera, Anthony T. Massachusetts Institute of Technology. Department of Mechanical Engineering Huynh, Dinh Bao Phuong Knezevic, David Patera, Anthony T. We present a certified reduced basis method for high-fidelity real-time solution of parametrized partial differential equations on deployed platforms. Applications include in situ parameter estimation, adaptive design and control, interactive synthesis and visualization, and individuated product specification. We emphasize a new hierarchical architecture particularly well suited to the reduced basis computational paradigm: the expensive Offline stage is conducted pre-deployment on a parallel supercomputer (in our examples, the TeraGrid machine Ranger); the inexpensive Online stage is conducted “in the field” on ubiquitous thin/inexpensive platforms such as laptops, tablets, smartphones (in our examples, the Nexus One Android-based phone), or embedded chips. We illustrate our approach with three examples: a two-dimensional Helmholtz acoustics “horn” problem; a three-dimensional transient heat conduction “Swiss Cheese” problem; and a three-dimensional unsteady incompressible Navier–Stokes low-Reynolds-number “eddy-promoter” problem. United States. Air Force Office of Scientific Research (Grant FA9550-07-1-0425) United States. Air Force Office of Scientific Research (OSD Grant FA9550-09-1-0613) National Science Foundation (U.S.) (University of Texas at Austin. Texas Advanced Computing Center Grant TG-ASC100016) 2015-09-17T18:14:41Z 2015-09-17T18:14:41Z 2010-09 2010-04 Article http://purl.org/eprint/type/JournalArticle 00457930 http://hdl.handle.net/1721.1/98594 Huynh, D.B.P., D.J. Knezevic, J.W. Peterson, and A.T. Patera. “High-Fidelity Real-Time Simulation on Deployed Platforms.” Computers & Fluids 43, no. 1 (April 2011): 74–81. https://orcid.org/0000-0002-2794-1308 https://orcid.org/0000-0002-2631-6463 en_US http://dx.doi.org/10.1016/j.compfluid.2010.07.007 Computers & Fluids Creative Commons Attribution-Noncommercial-NoDerivatives http://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Elsevier MIT Web Domain |
spellingShingle | Peterson, J.W. Huynh, Dinh Bao Phuong Knezevic, David Patera, Anthony T. High-fidelity real-time simulation on deployed platforms |
title | High-fidelity real-time simulation on deployed platforms |
title_full | High-fidelity real-time simulation on deployed platforms |
title_fullStr | High-fidelity real-time simulation on deployed platforms |
title_full_unstemmed | High-fidelity real-time simulation on deployed platforms |
title_short | High-fidelity real-time simulation on deployed platforms |
title_sort | high fidelity real time simulation on deployed platforms |
url | http://hdl.handle.net/1721.1/98594 https://orcid.org/0000-0002-2794-1308 https://orcid.org/0000-0002-2631-6463 |
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