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

MacIej Balajewicz, Earl H. Dowell

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish (US)
Pages (from-to)1619-1632
Number of pages14
JournalNonlinear Dynamics
Volume70
Issue number2
DOIs
StatePublished - Oct 2012
Externally publishedYes

Keywords

  • Lid driven cavity
  • Mixing layer
  • Model order reduction
  • Navier-Stokes
  • Proper orthogonal decomposition
  • Reduced order modeling
  • Stabilization
  • Turbulence
  • Turbulence modeling

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Applied Mathematics
  • Electrical and Electronic Engineering

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