An Online Method for Interpolating Linear Parametric Reduced-Order Models

Handle URI:
http://hdl.handle.net/10754/597540
Title:
An Online Method for Interpolating Linear Parametric Reduced-Order Models
Authors:
Amsallem, David; Farhat, Charbel
Abstract:
A two-step online method is proposed for interpolating projection-based linear parametric reduced-order models (ROMs) in order to construct a new ROM for a new set of parameter values. The first step of this method transforms each precomputed ROM into a consistent set of generalized coordinates. The second step interpolates the associated linear operators on their appropriate matrix manifold. Real-time performance is achieved by precomputing inner products between the reduced-order bases underlying the precomputed ROMs. The proposed method is illustrated by applications in mechanical and aeronautical engineering. In particular, its robustness is demonstrated by its ability to handle the case where the sampled parameter set values exhibit a mode veering phenomenon. © 2011 Society for Industrial and Applied Mathematics.
Citation:
Amsallem D, Farhat C (2011) An Online Method for Interpolating Linear Parametric Reduced-Order Models. SIAM Journal on Scientific Computing 33: 2169–2198. Available: http://dx.doi.org/10.1137/100813051.
Publisher:
Society for Industrial & Applied Mathematics (SIAM)
Journal:
SIAM Journal on Scientific Computing
Issue Date:
Jan-2011
DOI:
10.1137/100813051
Type:
Article
ISSN:
1064-8275; 1095-7197
Sponsors:
Submitted to the journal's Computational Methods in Science and Engineering section October 27, 2010; accepted for publication (in revised form) June 3, 2011; published electronically September 1, 2011. This work was partially supported by a research grant from the Academic Excellence Alliance program between King Abdullah University of Science and Technology (KAUST) and Stanford University, by a research grant from King Abdulaziz City for Science and Technology (KACST), by The Boeing Company under contract 45047, and by the Air Force Office of Scientific Research under grant FA9550-10-1-0539.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorAmsallem, Daviden
dc.contributor.authorFarhat, Charbelen
dc.date.accessioned2016-02-25T12:41:42Zen
dc.date.available2016-02-25T12:41:42Zen
dc.date.issued2011-01en
dc.identifier.citationAmsallem D, Farhat C (2011) An Online Method for Interpolating Linear Parametric Reduced-Order Models. SIAM Journal on Scientific Computing 33: 2169–2198. Available: http://dx.doi.org/10.1137/100813051.en
dc.identifier.issn1064-8275en
dc.identifier.issn1095-7197en
dc.identifier.doi10.1137/100813051en
dc.identifier.urihttp://hdl.handle.net/10754/597540en
dc.description.abstractA two-step online method is proposed for interpolating projection-based linear parametric reduced-order models (ROMs) in order to construct a new ROM for a new set of parameter values. The first step of this method transforms each precomputed ROM into a consistent set of generalized coordinates. The second step interpolates the associated linear operators on their appropriate matrix manifold. Real-time performance is achieved by precomputing inner products between the reduced-order bases underlying the precomputed ROMs. The proposed method is illustrated by applications in mechanical and aeronautical engineering. In particular, its robustness is demonstrated by its ability to handle the case where the sampled parameter set values exhibit a mode veering phenomenon. © 2011 Society for Industrial and Applied Mathematics.en
dc.description.sponsorshipSubmitted to the journal's Computational Methods in Science and Engineering section October 27, 2010; accepted for publication (in revised form) June 3, 2011; published electronically September 1, 2011. This work was partially supported by a research grant from the Academic Excellence Alliance program between King Abdullah University of Science and Technology (KAUST) and Stanford University, by a research grant from King Abdulaziz City for Science and Technology (KACST), by The Boeing Company under contract 45047, and by the Air Force Office of Scientific Research under grant FA9550-10-1-0539.en
dc.publisherSociety for Industrial & Applied Mathematics (SIAM)en
dc.subjectInterpolationen
dc.subjectMatrix manifoldsen
dc.subjectMode veeringen
dc.subjectParametric model reductionen
dc.subjectRealtime computingen
dc.titleAn Online Method for Interpolating Linear Parametric Reduced-Order Modelsen
dc.typeArticleen
dc.identifier.journalSIAM Journal on Scientific Computingen
dc.contributor.institutionStanford University, Palo Alto, United Statesen
kaust.grant.programAcademic Excellence Alliance (AEA)en
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.