Multi-fidelity model fusion and uncertainty quantification using high dimensional model representation

Martin Kubicek, Piyush M. Mehta, Edmondo Minisci, Massimiliano Vasile

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Abstract

High-fidelity modeling based on experiments or simulations is generally very expensive. Low-fidelity models, when available, typically have simplifying assumptions made during the development and hence are quick but not so accurate. We present development of a new and novel approach for multi-fidelity model fusion to achieve the accuracy of the expensive high-fidelity methods with the speed of the inaccurate low-fidelity models. The multi-fidelity fusion model and the associated uncertainties is achieved using a new derivation of the high dimensional model representation (HDMR) method. The method can provide valuable insights for efficient placement of the expensive high-fidelity simulations in the domain towards reducing the multi-fidelity model uncertainties. The method is applied and validated with aerodynamic and aerothermodynamic models for atmospheric re-entry.

LanguageEnglish
Title of host publicationSpaceflight Mechanics 2016
Subtitle of host publicationProceedings of the 26th AAS/AIAA Space Flight Mechanics Meeting held February 14–18, 2016, Napa, California, U.S.A
EditorsRenato Zanetti, Ryan P. Russell, Martin T. Ozimek, Angela L. Bowes
Place of PublicationSan Diego, California
Pages1987-2002
Number of pages16
Publication statusPublished - 14 Feb 2016
Event26th AAS/AIAA Space Flight Mechanics Meeting, 2016 - Napa, United States
Duration: 14 Feb 201618 Feb 2016

Publication series

NameAdvances in the Astronautical Sciences
PublisherAmerican Astronautical Society
Volume158
ISSN (Print)1081-6003

Conference

Conference26th AAS/AIAA Space Flight Mechanics Meeting, 2016
CountryUnited States
CityNapa
Period14/02/1618/02/16

Fingerprint

Fusion reactions
fusion
Reentry
aerothermodynamics
Uncertainty
reentry
aerodynamics
simulation
Aerodynamics
derivation
method
modeling
experiment
Experiments

Keywords

  • multi fidelity model fusion
  • expensive experimentation
  • aeodynamic modeling
  • aerothermodynamic modeling

Cite this

Kubicek, M., Mehta, P. M., Minisci, E., & Vasile, M. (2016). Multi-fidelity model fusion and uncertainty quantification using high dimensional model representation. In R. Zanetti, R. P. Russell, M. T. Ozimek, & A. L. Bowes (Eds.), Spaceflight Mechanics 2016: Proceedings of the 26th AAS/AIAA Space Flight Mechanics Meeting held February 14–18, 2016, Napa, California, U.S.A (pp. 1987-2002). [AAS 16-491] (Advances in the Astronautical Sciences; Vol. 158). San Diego, California.
Kubicek, Martin ; Mehta, Piyush M. ; Minisci, Edmondo ; Vasile, Massimiliano. / Multi-fidelity model fusion and uncertainty quantification using high dimensional model representation. Spaceflight Mechanics 2016: Proceedings of the 26th AAS/AIAA Space Flight Mechanics Meeting held February 14–18, 2016, Napa, California, U.S.A. editor / Renato Zanetti ; Ryan P. Russell ; Martin T. Ozimek ; Angela L. Bowes. San Diego, California, 2016. pp. 1987-2002 (Advances in the Astronautical Sciences).
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abstract = "High-fidelity modeling based on experiments or simulations is generally very expensive. Low-fidelity models, when available, typically have simplifying assumptions made during the development and hence are quick but not so accurate. We present development of a new and novel approach for multi-fidelity model fusion to achieve the accuracy of the expensive high-fidelity methods with the speed of the inaccurate low-fidelity models. The multi-fidelity fusion model and the associated uncertainties is achieved using a new derivation of the high dimensional model representation (HDMR) method. The method can provide valuable insights for efficient placement of the expensive high-fidelity simulations in the domain towards reducing the multi-fidelity model uncertainties. The method is applied and validated with aerodynamic and aerothermodynamic models for atmospheric re-entry.",
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note = "This paper was originally presented at the 26th AAS/AIAA Space Flight Mechanics Meeting held February 14–18, 2016, Napa, California, U.S.A.., and was originally published in the American Astronautical Society (AAS) publication: Spaceflight Mechanics 2016, edited by R Zanetti, RP Russell, MT Ozimek & AL Bowes, American Astronautical Society (AAS) Advances in the Astronautical Sciences, Volume 158, 2016, pp. 1807-1822 (Copyright {\circledC} 2016 by American Astronautical Society Publications Office, P.O. Box 28130, San Diego, CA 92198, U.S.A.; Web Site: http://www.univelt.com).",
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Kubicek, M, Mehta, PM, Minisci, E & Vasile, M 2016, Multi-fidelity model fusion and uncertainty quantification using high dimensional model representation. in R Zanetti, RP Russell, MT Ozimek & AL Bowes (eds), Spaceflight Mechanics 2016: Proceedings of the 26th AAS/AIAA Space Flight Mechanics Meeting held February 14–18, 2016, Napa, California, U.S.A., AAS 16-491, Advances in the Astronautical Sciences, vol. 158, San Diego, California, pp. 1987-2002, 26th AAS/AIAA Space Flight Mechanics Meeting, 2016, Napa, United States, 14/02/16.

Multi-fidelity model fusion and uncertainty quantification using high dimensional model representation. / Kubicek, Martin; Mehta, Piyush M.; Minisci, Edmondo; Vasile, Massimiliano.

Spaceflight Mechanics 2016: Proceedings of the 26th AAS/AIAA Space Flight Mechanics Meeting held February 14–18, 2016, Napa, California, U.S.A. ed. / Renato Zanetti; Ryan P. Russell; Martin T. Ozimek; Angela L. Bowes. San Diego, California, 2016. p. 1987-2002 AAS 16-491 (Advances in the Astronautical Sciences; Vol. 158).

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

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N1 - This paper was originally presented at the 26th AAS/AIAA Space Flight Mechanics Meeting held February 14–18, 2016, Napa, California, U.S.A.., and was originally published in the American Astronautical Society (AAS) publication: Spaceflight Mechanics 2016, edited by R Zanetti, RP Russell, MT Ozimek & AL Bowes, American Astronautical Society (AAS) Advances in the Astronautical Sciences, Volume 158, 2016, pp. 1807-1822 (Copyright © 2016 by American Astronautical Society Publications Office, P.O. Box 28130, San Diego, CA 92198, U.S.A.; Web Site: http://www.univelt.com).

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AB - High-fidelity modeling based on experiments or simulations is generally very expensive. Low-fidelity models, when available, typically have simplifying assumptions made during the development and hence are quick but not so accurate. We present development of a new and novel approach for multi-fidelity model fusion to achieve the accuracy of the expensive high-fidelity methods with the speed of the inaccurate low-fidelity models. The multi-fidelity fusion model and the associated uncertainties is achieved using a new derivation of the high dimensional model representation (HDMR) method. The method can provide valuable insights for efficient placement of the expensive high-fidelity simulations in the domain towards reducing the multi-fidelity model uncertainties. The method is applied and validated with aerodynamic and aerothermodynamic models for atmospheric re-entry.

KW - multi fidelity model fusion

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M3 - Conference contribution book

SN - 9780877036333

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A2 - Russell, Ryan P.

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CY - San Diego, California

ER -

Kubicek M, Mehta PM, Minisci E, Vasile M. Multi-fidelity model fusion and uncertainty quantification using high dimensional model representation. In Zanetti R, Russell RP, Ozimek MT, Bowes AL, editors, Spaceflight Mechanics 2016: Proceedings of the 26th AAS/AIAA Space Flight Mechanics Meeting held February 14–18, 2016, Napa, California, U.S.A. San Diego, California. 2016. p. 1987-2002. AAS 16-491. (Advances in the Astronautical Sciences).