Constrained reduced-order models based on proper orthogonal decomposition

Reddy, Sohail R.; Freno, Brian Andrew; Cizmas, Paul G. A.; Gokaltun, Seckin; McDaniel, Dwayne; Dulikravich, George S.

doi:10.1016/j.cma.2017.03.038

Title: Constrained reduced-order models based on proper orthogonal decomposition

Journal Article · Sun Apr 09 00:00:00 EDT 2017 · Computer Methods in Applied Mechanics and Engineering

DOI: https://doi.org/10.1016/j.cma.2017.03.038 · OSTI ID:1369450

Reddy, Sohail R. ^[1]; Freno, Brian Andrew ^[2]; Cizmas, Paul G. A. ^[3]; Gokaltun, Seckin ^[1]; McDaniel, Dwayne ^[1]; Dulikravich, George S. ^[1]

Florida Intl Univ., Miami, FL (United States)
Texas A & M Univ., College Station, TX (United States); Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Texas A & M Univ., College Station, TX (United States)

A novel approach is presented to constrain reduced-order models (ROM) based on proper orthogonal decomposition (POD). The Karush–Kuhn–Tucker (KKT) conditions were applied to the traditional reduced-order model to constrain the solution to user-defined bounds. The constrained reduced-order model (C-ROM) was applied and validated against the analytical solution to the first-order wave equation. C-ROM was also applied to the analysis of fluidized beds. Lastly, it was shown that the ROM and C-ROM produced accurate results and that C-ROM was less sensitive to error propagation through time than the ROM.

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Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC04-94AL85000

OSTI ID:: 1369450

Report Number(s):: SAND--2017-3244J; 652058

Journal Information:: Computer Methods in Applied Mechanics and Engineering, Journal Name: Computer Methods in Applied Mechanics and Engineering Journal Issue: C Vol. 321; ISSN 0045-7825

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Related Subjects

42 ENGINEERING
Karush–Kuhn–Tucker
computational fluid dynamics
fluidized beds
multiphase flows
proper orthogonal decomposition
reduced-order modeling

Title: Constrained reduced-order models based on proper orthogonal decomposition

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References (20)

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