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Secondary bifurcations of stationary flows

  • Rita Meyer-Spasche
  • John H. Bolstad
  • Frank Pohl
Conference paper
  • 599 Downloads
Part of the Lecture Notes in Physics book series (LNP, volume 549)

Abstract

Numerical investigations of stationary Taylor vortex flows with periodic boundary conditions led Meyer-Spasche/Wagner [13] to speculate that there is a curve of loci of secondary bifurcations in the (period, Reynolds number)-plane which connects two double points, i.e. two intersection points of neutral curves of flows with different numbers of vortices (n-vortex flows, n = 2, 4, and a double vortex flow). Lortz et al. [12] proved analytically the existence of such a curve for a model problem derived from the equations of the Boussinesq approximation, and also the existence of a second such curve.

It remained unclear then if the results carry over to the full Boussinesq system and thus to the narrow-gap approximation, and how the results generalize to flows with other numbers of vortices. These questions were treated in [14]. In the present contribution we continue these investigations and present computations that justify speculations in [14] about the structure of other secondary interactions. We also present a curve of Hopf bifurcation points which was found in the course of computations discussed here, as a by-product.

Keywords

Rayleigh Number Bifurcation Point Double Point Critical Curve Convection Roll 
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-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Rita Meyer-Spasche
    • 1
  • John H. Bolstad
    • 2
  • Frank Pohl
    • 1
  1. 1.MPI für PlasmaphysikEURATOM-AssociationGarchingGermany
  2. 2.Laurence Livermore National Laboratory, L-23U of CaliforniaLivermoreUSA

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