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 language | English |
|---|---|
| Pages (from-to) | 7-19 |
| Number of pages | 13 |
| Journal | International Journal of Computational Fluid Dynamics |
| Volume | 30 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 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