Skip to main content
SpringerLink
Log in

Theoretical Investigation of the Cylinder Wake with a Low-Dimensional Galerkin Method

  • Conference paper
Book cover Bluff-Body Wakes, Dynamics and Instabilities

Summary

A Galerkin method with less than 200 global modes for the 3D, incompressible, viscous flow around a circular cylinder is sketched. With this low-dimensional method, the first 3D global stability analysis of the steady and the periodic cylinder wake are carried out. The instability of the steady flow is shown to be associated with a discrete 2D eigenmode and a continuum of 3D eigenmodes. The periodic flow is found to become unstable by a 3D near-wake instability.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. B.R. Noack & H. Eckelmann: Two-dimensional, viscous, incompressible flow around a circular cylinder. Report 104/1991, Max-Planck-Institut für Strömungsforschung, Göttingen 1991.

    Google Scholar 

  2. B.R. Noack & H. Eckelmann: On chaos in wakes. Physica D 56 (1992) 151–164.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. A. Zebib: Stability of viscous flow past a circular cylinder. J. Engr. Math. 21 (1987) 155–165.

    Article  Google Scholar 

  4. G.E. Karniadakis & G.S. Triantafyllou: Three-dimensional dynamics and transition to turbulence in the wake of bluff bodies. J. Fluid Mech. 238 (1992) 1–30.

    Article  ADS  MATH  Google Scholar 

  5. B.R. Noack: Theoretische Untersuchung der Zylinderumströmung mit einem niedrigdimensionalen Galerkin-Verfahren. Report 25/1992, Max-Planck-Institut für Strömungsforschung, Göttingen 1992.

    Google Scholar 

  6. B.R. Noack & H. Eckelmann: A Galerkin study of the cylinder wake. Report 101/1991, Max-Planck-Institut für Strömungsforschung, Göttingen 1991.

    Google Scholar 

  7. B.R. Noack; F. Ohle; H. Eckelmann: Construction and analysis of differential equations from experimental time series of oscillatory systems. Physica D 56 (1992) 389–405.

    Article  MathSciNet  ADS  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Max-Planck-Institut für Strömungsforschung, Bunsenstr. 10, 3400, Göttingen, Germany

    B. R. Noack & H. Eckelmann

Authors
  1. B. R. Noack
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. Eckelmann
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institut für Angewandte Mechanik und Strömungsphysik, Universität Göttingen und Max-Planck-Institut für Strömungsforschung, Bunsenstraße 10, 37073, Göttingen, Germany

    Helmut Eckelmann

  2. Department of Aeronautics, Imperial College of Science, Technology and Medicine, SW72BY, South Kensington, London, UK

    J. Michael R. Graham

  3. Laboratoire d’Hydrodynamique (LADHYX), Ecole Polytechnique, 91128, Palaiseau Cedex, France

    Patrick Huerre

  4. Mechanical, Aerospace and Nuclear Engineering Dept., University of California, Los Angeles, 405 Hilgard Ave., 90024-1597, Los Angeles, CA, USA

    Peter A. Monkewitz

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Noack, B.R., Eckelmann, H. (1993). Theoretical Investigation of the Cylinder Wake with a Low-Dimensional Galerkin Method. In: Eckelmann, H., Graham, J.M.R., Huerre, P., Monkewitz, P.A. (eds) Bluff-Body Wakes, Dynamics and Instabilities. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-00414-2_33

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-00414-2_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-00416-6

  • Online ISBN: 978-3-662-00414-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation