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SPECTRAL ELEMENT STABILITY ANALYSIS OF VORTICAL FLOWS

  • Michael S. Broadhurst
  • Vassilios Theofilis
  • Spencer J. Sherwin
Part of the Fluid Mechanics and Its Applications book series (FMIA, volume 78)

Abstract

The scope of the present study is to demonstrate the use of spectral/hp-element methods in understanding the global instability mechanisms of vortex dominated flows. Using a BiGlobal stability analysis, analytically constructed and numerically evaluated base flows have been investigated, with the leading eigenvalues obtained by the Arnoldi algorithm. Subsequently, Direct Numerical Simulation (DNS) was used to investigate the non-linear development of an unstable Batchelor vortex. It was found that a spiral-type instability, if allowed to develop in an axially unconstrained manner, leads to an axial loss of energy and the formation of a stagnation point.

Keywords

Direct Numerical Simulation Stagnation Point Vortex Breakdown Spectral Element Method Vortical Flow 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer 2006

Authors and Affiliations

  • Michael S. Broadhurst
    • 1
  • Vassilios Theofilis
    • 2
  • Spencer J. Sherwin
    • 1
  1. 1.Department of AeronauticsImperial College LondonUK
  2. 2.School of AeronauticsUniversidad Politecnica de MadridSpain

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