Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Computational Hydrodynamic Stability and Flow Control Based on Spectral Analysis of Linear Operators
KTH, School of Engineering Sciences (SCI), Mechanics, Stability, Transition and Control. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.ORCID iD: 0000-0002-8209-1449
2012 (English)In: Archives of Computational Methods in Engineering, ISSN 1134-3060, E-ISSN 1886-1784, Vol. 19, no 3, 341-379 p.Article, review/survey (Refereed) Published
Abstract [en]

This paper considers the analysis and control of fluid flows using tools from dynamical systems and control theory. The employed tools are derived from the spectral analysis of various linear operators associated with the Navier-Stokes equations. Spectral decomposition of the linearized Navier-Stokes operator, the Koopman operator, the spatial correlation operator and the Hankel operator provide a means to gain physical insight into the dynamics of complex flows and enables the construction of low-dimensional models suitable for control design. Since the discretization of the Navier-Stokes equations often leads to very large-scale dynamical systems, matrix-free and in some cases iterative techniques have to be employed to solve the eigenvalue problem. The common theme of the numerical algorithms is the use of direct numerical simulations. The theory and the algorithms are exemplified on flow over a flat plate and a jet in crossflow, as prototypes for the laminar-turbulent transition and three-dimensional vortex shedding.

Place, publisher, year, edition, pages
2012. Vol. 19, no 3, 341-379 p.
Keyword [en]
Plate Boundary-Layer, Rank Smith Method, Model-Reduction, Cylinder Wake, Lyapunov Equations, Cross-Flow, 3-Dimensional Instability, Elliptic Instability, Balanced-Truncation, Separation-Bubbles
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:kth:diva-102613DOI: 10.1007/s11831-012-9074-0ISI: 000307755100001Scopus ID: 2-s2.0-84865597795OAI: oai:DiVA.org:kth-102613DiVA: diva2:555662
Funder
Swedish Research Council, VR-DNR 2010-3910Swedish e‐Science Research Center
Note

QC 20120921

Available from: 2012-09-21 Created: 2012-09-21 Last updated: 2017-12-07Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Authority records BETA

Bagheri, Shervin

Search in DiVA

By author/editor
Bagheri, Shervin
By organisation
Stability, Transition and ControlLinné Flow Center, FLOW
In the same journal
Archives of Computational Methods in Engineering
Fluid Mechanics and Acoustics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 105 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf