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Journal article

Streamline topology: Patterns in fluid flows and their bifurcations

From

Dynamical systems, Department of Mathematics, Technical University of Denmark1

Department of Mathematics, Technical University of Denmark2

Center for Fluid Dynamics, Centers, Technical University of Denmark3

Using dynamical systems theory, we consider structures such as vortices and separation in the streamline patterns of fluid flows. Bifurcation of patterns under variation of external parameters is studied using simplifying normal form transformations. Flows away from boundaries, flows close to fixed walls, and axisymmetric flows are analyzed in detail.

We show how to apply the ideas from the theory to analyze numerical simulations of the vortex breakdown in a closed cylindrical container.

Language: English
Year: 2007
Pages: 1-42
ISSN: 00652156
Types: Journal article
DOI: 10.1016/S0065-2156(06)41001-2
ORCIDs: Brøns, Morten

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