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

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.
Authors:
 [1] ;  [2] ;  [3] ;  [1] ;  [1] ;  [1]
  1. Florida Intl Univ., Miami, FL (United States)
  2. Texas A & M Univ., College Station, TX (United States); Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
  3. Texas A & M Univ., College Station, TX (United States)
Publication Date:
Report Number(s):
SAND-2017-3244J
Journal ID: ISSN 0045-7825; 652058
Grant/Contract Number:
AC04-94AL85000; FE0023114; FIU/ARC
Type:
Accepted Manuscript
Journal Name:
Computer Methods in Applied Mechanics and Engineering
Additional Journal Information:
Journal Volume: 321; Journal Issue: C; Journal ID: ISSN 0045-7825
Publisher:
Elsevier
Research Org:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Florida Intl Univ., Miami, FL (United States)
Sponsoring Org:
USDOE National Nuclear Security Administration (NNSA); USDOE Office of Fossil Energy (FE)
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; proper orthogonal decomposition; reduced-order modeling; Karush–Kuhn–Tucker; multiphase flows; computational fluid dynamics; fluidized beds; 97 MATHEMATICS AND COMPUTING
OSTI Identifier:
1369450
Alternate Identifier(s):
OSTI ID: 1397433; OSTI ID: 1410456

Reddy, Sohail R., Freno, Brian Andrew, Cizmas, Paul G. A., Gokaltun, Seckin, McDaniel, Dwayne, and Dulikravich, George S.. Constrained reduced-order models based on proper orthogonal decomposition. United States: N. p., Web. doi:10.1016/j.cma.2017.03.038.
Reddy, Sohail R., Freno, Brian Andrew, Cizmas, Paul G. A., Gokaltun, Seckin, McDaniel, Dwayne, & Dulikravich, George S.. Constrained reduced-order models based on proper orthogonal decomposition. United States. doi:10.1016/j.cma.2017.03.038.
Reddy, Sohail R., Freno, Brian Andrew, Cizmas, Paul G. A., Gokaltun, Seckin, McDaniel, Dwayne, and Dulikravich, George S.. 2017. "Constrained reduced-order models based on proper orthogonal decomposition". United States. doi:10.1016/j.cma.2017.03.038. https://www.osti.gov/servlets/purl/1369450.
@article{osti_1369450,
title = {Constrained reduced-order models based on proper orthogonal decomposition},
author = {Reddy, Sohail R. and Freno, Brian Andrew and Cizmas, Paul G. A. and Gokaltun, Seckin and McDaniel, Dwayne and Dulikravich, George S.},
abstractNote = {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.},
doi = {10.1016/j.cma.2017.03.038},
journal = {Computer Methods in Applied Mechanics and Engineering},
number = C,
volume = 321,
place = {United States},
year = {2017},
month = {4}
}