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Stabilization of projection-based reduced order models of the Navier-Stokes

Publication ,  Journal Article
Balajewicz, M; Dowell, EH
Published in: Nonlinear Dynamics
October 1, 2012

A new method of stabilizing low-order, proper orthogonal decomposition based reduced-order models of the Navier-Stokes equations is proposed. Unlike traditional approaches, this method does not rely on empirical turbulence modeling or modification of the Navier-Stokes equations. It provides spatial basis functions different from the usual proper orthogonal decomposition basis function in that, in addition to optimally representing the solution, the new proposed basis functions also provide stable reduced-order models. The proposed approach is illustrated with two test cases: two-dimensional flow inside a square lid-driven cavity and a two-dimensional mixing layer. © Springer Science+Business Media B.V. 2012.

Duke Scholars

Published In

Nonlinear Dynamics

DOI

ISSN

0924-090X

Publication Date

October 1, 2012

Volume

70

Issue

2

Start / End Page

1619 / 1632

Related Subject Headings

  • Acoustics
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 01 Mathematical Sciences
 

Citation

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Balajewicz, M., & Dowell, E. H. (2012). Stabilization of projection-based reduced order models of the Navier-Stokes. Nonlinear Dynamics, 70(2), 1619–1632. https://doi.org/10.1007/s11071-012-0561-5
Balajewicz, M., and E. H. Dowell. “Stabilization of projection-based reduced order models of the Navier-Stokes.” Nonlinear Dynamics 70, no. 2 (October 1, 2012): 1619–32. https://doi.org/10.1007/s11071-012-0561-5.
Balajewicz M, Dowell EH. Stabilization of projection-based reduced order models of the Navier-Stokes. Nonlinear Dynamics. 2012 Oct 1;70(2):1619–32.
Balajewicz, M., and E. H. Dowell. “Stabilization of projection-based reduced order models of the Navier-Stokes.” Nonlinear Dynamics, vol. 70, no. 2, Oct. 2012, pp. 1619–32. Scopus, doi:10.1007/s11071-012-0561-5.
Balajewicz M, Dowell EH. Stabilization of projection-based reduced order models of the Navier-Stokes. Nonlinear Dynamics. 2012 Oct 1;70(2):1619–1632.
Journal cover image

Published In

Nonlinear Dynamics

DOI

ISSN

0924-090X

Publication Date

October 1, 2012

Volume

70

Issue

2

Start / End Page

1619 / 1632

Related Subject Headings

  • Acoustics
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 01 Mathematical Sciences