Symmetry breaking and preliminary results about a Hopf bifurcation for incompressible viscous flow in an expansion channel

A. Quaini*, Roland GLOWINSKI, S. Čanić

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

This computational study shows, for the first time, a clear transition to two-dimensional Hopf bifurcation for laminar incompressible flows in symmetric plane expansion channels. Due to the well-known extreme sensitivity of this study on computational mesh, the critical Reynolds numbers for both the known symmetry-breaking (pitchfork) bifurcation and Hopf bifurcation were investigated for several layers of mesh refinement. It is found that under-refined meshes lead to an overestimation of the critical Reynolds number for the symmetry breaking and an underestimation of the critical Reynolds number for the Hopf bifurcation.

Original languageEnglish
Pages (from-to)7-19
Number of pages13
JournalInternational Journal of Computational Fluid Dynamics
Volume30
Issue number1
DOIs
Publication statusPublished - 2 Jan 2016

Scopus Subject Areas

  • Computational Mechanics
  • Aerospace Engineering
  • Condensed Matter Physics
  • Energy Engineering and Power Technology
  • Mechanics of Materials
  • Mechanical Engineering

User-Defined Keywords

  • computational fluid dynamics
  • expansion flow
  • Hopf bifurcation
  • stability of incompressible viscous flows
  • symmetry breaking

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