Volume 4, Issue 3-4
Interval-based Reduced-order Models for Unsteady Fluid Flow

J. Borggaard, A. Hay & D. Pelletier

DOI:

Int. J. Numer. Anal. Mod., 4 (2007), pp. 353-367

Published online: 2007-04

Preview Purchase PDF 0 947
Export citation
  • Abstract

A number of practical engineering problems require the repeated simulation of unsteady fluid flows. These problems include the control, optimization and uncertainty quantification of fluid systems. To make many of these problems tractable, reduced-order modeling has been used to minimize the simulation requirements. For nonlinear, time-dependent problems, such as the Navier-Stokes equations, reduced-order models are typically based on the proper orthogonal decomposition (POD) combined with Galerkin projection. We study several modifications to this reduced-order modeling approach motivated by the optimization problem underlying POD. Our discussion centers on a method known as the principal interval decomposition (PID) due to IJzerman.

  • Keywords

reduced-order modeling proper orthogonal decomposition principal interval decomposition surrogate model optimization

  • AMS Subject Headings

37N10 76D55 76M25

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{IJNAM-4-353, author = {J. Borggaard, A. Hay and D. Pelletier}, title = {Interval-based Reduced-order Models for Unsteady Fluid Flow}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2007}, volume = {4}, number = {3-4}, pages = {353--367}, abstract = {A number of practical engineering problems require the repeated simulation of unsteady fluid flows. These problems include the control, optimization and uncertainty quantification of fluid systems. To make many of these problems tractable, reduced-order modeling has been used to minimize the simulation requirements. For nonlinear, time-dependent problems, such as the Navier-Stokes equations, reduced-order models are typically based on the proper orthogonal decomposition (POD) combined with Galerkin projection. We study several modifications to this reduced-order modeling approach motivated by the optimization problem underlying POD. Our discussion centers on a method known as the principal interval decomposition (PID) due to IJzerman. }, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/866.html} }
TY - JOUR T1 - Interval-based Reduced-order Models for Unsteady Fluid Flow AU - J. Borggaard, A. Hay & D. Pelletier JO - International Journal of Numerical Analysis and Modeling VL - 3-4 SP - 353 EP - 367 PY - 2007 DA - 2007/04 SN - 4 DO - http://dor.org/ UR - https://global-sci.org/intro/article_detail/ijnam/866.html KW - reduced-order modeling KW - proper orthogonal decomposition KW - principal interval decomposition KW - surrogate model KW - optimization AB - A number of practical engineering problems require the repeated simulation of unsteady fluid flows. These problems include the control, optimization and uncertainty quantification of fluid systems. To make many of these problems tractable, reduced-order modeling has been used to minimize the simulation requirements. For nonlinear, time-dependent problems, such as the Navier-Stokes equations, reduced-order models are typically based on the proper orthogonal decomposition (POD) combined with Galerkin projection. We study several modifications to this reduced-order modeling approach motivated by the optimization problem underlying POD. Our discussion centers on a method known as the principal interval decomposition (PID) due to IJzerman.
J. Borggaard, A. Hay & D. Pelletier. (1970). Interval-based Reduced-order Models for Unsteady Fluid Flow. International Journal of Numerical Analysis and Modeling. 4 (3-4). 353-367. doi:
Copy to clipboard
The citation has been copied to your clipboard