Skip to main content
SpringerLink
Log in

Identification of vortex cores of three-dimensional large-vortical structures

Archive of Applied Mechanics volume 83, pages 1383–1391 (2013)Cite this article

Abstract

In this paper, we propose a nonlocal method to identify vortex cores in three-dimensional flows as a complement to the existing list of local and nonlocal methods of the bibliography. The method is based on the vector field of the instantaneous rotation of a particle around a center. This center is defined using the Darboux vector field along the path-particle lines; the vortex core is detected using their Frenet–Serret frame. We illustrate the application of the method to identify the core of large-vortical structures in analytical and numerically simulated laminar and turbulent natural convection flows.

This is a preview of subscription content, access via your institution.

Access options

Buy single article

Instant access to the full article PDF.

USD 39.95

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

References

  1. Jeong J., Hussain F.: On the identification of a vortex. J. Fluid Mech. 285, 69–94 (1995)

    Article  MathSciNet  MATH  Google Scholar 

  2. Roth, M., Peikert R.: A higher order method for finding vortex core lines. In: Proceedings of Visualization’98, pp. 143–150 (1998)

  3. Haller G.: An objective definition of a vortex. J. Fluid Mech. 525, 1–26 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  4. Michard, M., Graftieaux, L., Lollini, L., Grosjean, N.: Identification of vortical structures by a non local criterion: application to piv measurements and DNL-LES results of turbulent rotating flows. In: Proceedings 11th Symposium on Turbulent Shear Flows, pp. 25–30 (1997)

  5. Graftieaux L., Michard M., Grosjean N.: Combining PIV, POD and vortex identification algorithms for the study of unsteady turbulent swirling flows. Meas. Sci. Technol. 12, 1422–1429 (2001)

    Article  Google Scholar 

  6. Cucitore R., Quadrio M., Baron A.: On the effectiveness and limitations of local criteria for the identification of a vortex. Eur. J. Mech. B/Fluids 18(2), 261–282 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  7. Do Carmo M.P.: Differential Geometry of Curves and Surfaces. Prentice-Hall, Upper Saddle River (1976)

    MATH  Google Scholar 

  8. Kambe T.: Geometrical Theory of Dynamical Systems and Fluid Flows. World Scientific, Singapore (2004)

    MATH  Google Scholar 

  9. Chandrasekhar S.: Hydrodynamic and Hydromagnetic Stability. Dover, New York (1881)

    Google Scholar 

  10. Valencia L., Pallares J., Cuesta I., Grau F.X.: Rayleigh–Bénard convection of water in a perfectly conducting cubical cavity: effects of temperature-dependent physical properties in laminar and turbulent regimes. Numer. Heat Transf. Part A 47(4), 333–352 (2005)

    Article  Google Scholar 

  11. Valencia L., Pallares J., Cuesta I., Grau F.X.: Turbulent Rayleigh–Bénard convection of water in cubical cavities: a numerical and experimental study. Int. J. Heat Mass Transf. 50, 3203–3215 (2007)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Departament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, Avinguda Països Catalans 26, 43007, Tarragona, Spain

    Blas Herrera

  2. Departament d’Enginyeria Mecànica, Universitat Rovira i Virgili, Avinguda Països Catalans 26, 43007, Tarragona, Spain

    Jordi Pallares

Authors
  1. Blas Herrera
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jordi Pallares
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Blas Herrera.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Herrera, B., Pallares, J. Identification of vortex cores of three-dimensional large-vortical structures. Arch Appl Mech 83, 1383–1391 (2013). https://doi.org/10.1007/s00419-013-0753-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00419-013-0753-6

Keywords

search

Navigation