Multi-fidelity Metamodels Nourished by Reduced Order Models

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  • École normale supérieure Paris-Saclay (ENS Paris-Saclay)
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Details

Original languageEnglish
Title of host publicationLecture Notes in Applied and Computational Mechanics
Place of PublicationCham
Pages61-79
Number of pages19
ISBN (electronic)978-3-030-38156-1
Publication statusPublished - 4 Mar 2020

Publication series

NameLecture Notes in Applied and Computational Mechanics
Volume93
ISSN (Print)1613-7736
ISSN (electronic)1860-0816

Abstract

Engineering simulation provides better designed products by allowing many options to be quickly explored and tested. In that context, the computational time is a strong issue because using high-fidelity direct resolution solvers is not always suitable. Metamodels are commonly considered to explore design options without computing every possible combination of parameters, but if the behavior is nonlinear, a large amount of data is required to build this metamodel. A possibility is to use further data sources to generate a multi-fidelity surrogate model by using model reduction. Model reduction techniques constitute one of the tools to bypass the limited calculation budget by seeking a solution to a problem on a reduced-order basis (ROB). The purpose of this study is an online method for generating a multi-fidelity metamodel nourished by calculating the quantity of interest from the basis generated on-the-fly with the LATIN-PGD framework for elasto-viscoplastic problems. Low-fidelity (LF) fields are obtained by stopping the solver before convergence, and high-fidelity (HF) information is obtained with converged solutions. In addition, the solver ability to reuse information from previously calculated PGD basis is exploited.

ASJC Scopus subject areas

Cite this

Multi-fidelity Metamodels Nourished by Reduced Order Models. / Nachar, S.; Boucard, P. A.; Néron, D. et al.
Lecture Notes in Applied and Computational Mechanics. Cham, 2020. p. 61-79 (Lecture Notes in Applied and Computational Mechanics; Vol. 93).

Research output: Chapter in book/report/conference proceedingContribution to book/anthologyResearchpeer review

Nachar, S, Boucard, PA, Néron, D, Nackenhorst, U & Fau, A 2020, Multi-fidelity Metamodels Nourished by Reduced Order Models. in Lecture Notes in Applied and Computational Mechanics. Lecture Notes in Applied and Computational Mechanics, vol. 93, Cham, pp. 61-79. https://doi.org/10.1007/978-3-030-38156-1_4
Nachar, S., Boucard, P. A., Néron, D., Nackenhorst, U., & Fau, A. (2020). Multi-fidelity Metamodels Nourished by Reduced Order Models. In Lecture Notes in Applied and Computational Mechanics (pp. 61-79). (Lecture Notes in Applied and Computational Mechanics; Vol. 93).. https://doi.org/10.1007/978-3-030-38156-1_4
Nachar S, Boucard PA, Néron D, Nackenhorst U, Fau A. Multi-fidelity Metamodels Nourished by Reduced Order Models. In Lecture Notes in Applied and Computational Mechanics. Cham. 2020. p. 61-79. (Lecture Notes in Applied and Computational Mechanics). doi: 10.1007/978-3-030-38156-1_4
Nachar, S. ; Boucard, P. A. ; Néron, D. et al. / Multi-fidelity Metamodels Nourished by Reduced Order Models. Lecture Notes in Applied and Computational Mechanics. Cham, 2020. pp. 61-79 (Lecture Notes in Applied and Computational Mechanics).
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