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


Journal Article

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.

Full Text

Duke Authors

Cited Authors

  • Balajewicz, M; Dowell, EH

Published Date

  • October 1, 2012

Published In

Volume / Issue

  • 70 / 2

Start / End Page

  • 1619 - 1632

International Standard Serial Number (ISSN)

  • 0924-090X

Digital Object Identifier (DOI)

  • 10.1007/s11071-012-0561-5

Citation Source

  • Scopus