Strained vortices in driven cavities

Kuhlmann, Hendrik C.; Albensoeder, S.

doi:10.1002/zamm.200410184

Cited by 6 publications

(3 citation statements)

References 42 publications

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“…12c, f, i). Flow vortices inherent in perturbed cavity flows are typically characterized by finite oscillating amplitudes, whereas the cavity end walls have only a very small effect on the flow pattern [42]. The lid-driven cavity flow is therefore a particulary attractive platform for experimental investigation of time-periodic three-dimensional vortices.…”

Section: Bifurcated Flow: Spatial Characteristicsmentioning

confidence: 99%

“…The lid-driven cavity flow is therefore a particulary attractive platform for experimental investigation of time-periodic three-dimensional vortices. The complexity of the vortex interactions effected by the presence of nonslip boundaries gives rise to an impressive variety of instabilities and bifurcation scenarios including elliptic, quadripolar, centrifugal and cooperative instabilities [42]. All these instabilities were obtained by exploring the 2D-3D transition in either the "classical" lid-driven cavity or in cavities with parallel/antiparallel wall motion.…”

Section: Bifurcated Flow: Spatial Characteristicsmentioning

confidence: 99%

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Theoretical analysis of three-dimensional bifurcated flow inside a diagonally lid-driven cavity

Feldman

2015

Theor. Comput. Fluid Dyn.

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The instability mechanism of fully three-dimensional, highly separated, shear-driven confined flow inside a diagonally lid-driven cavity was investigated. The analysis was conducted on 100 3 and 200 3 stretched grids by a series of direct numerical simulations utilizing a standard second-order accuracy finite volume code, openFoam. The observed oscillatory instability was found to set in via a subcritical symmetry breaking Hopf bifurcation. Critical values of the Reynolds number Re cr = 2320 and the non-dimensional angular oscillating frequency ω cr = 0.249 for the transition from steady to oscillatory flow were accurately determined. An oscillatory regime of the bifurcated flow was analyzed in depth, revealing and characterizing the spontaneous symmetry breaking mechanism. Characteristic spatial patterns of the base flow and the main flow harmonic were determined for the velocity, vorticity and helicity fields. Lagrangian particle tracers were utilized to visualize the mixing phenomenon of the flow from both sides of the diagonal symmetry plane.

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Section: Bifurcated Flow: Spatial Characteristicsmentioning

confidence: 99%

Section: Bifurcated Flow: Spatial Characteristicsmentioning

confidence: 99%

Theoretical analysis of three-dimensional bifurcated flow inside a diagonally lid-driven cavity

Feldman

2015

Theor. Comput. Fluid Dyn.

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“…The complexity of the vortex interactions effected by the presence of non-slip boundaries gives rise to an impressive variety of instabilities and bifurcation scenarios [25]. In the following, we focus our attention on oscillatory instability, observed in the present slightly supercritical flow.…”

Section: Instability Characteristicsmentioning

confidence: 93%

Oscillatory instability of fully 3D flow in a cubic diagonally lid-driven cavity

Feldman

2013

Preprint

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A transition to unsteadiness of a flow inside a cubic diagonally lid-driven cavity with no-slip boundaries is numerically investigated by a series of direct numerical simulations (DNS) performed on 100 3 and 200 3 stretched grids. It is found that the observed oscillatory instability is setting in via a subcritical symmetry-breaking Hopf bifurcation. The instability evolves on two vortices in a coupled manner. Critical values of Reynolds number Re cr = 2320 and non-dimensional angular oscillating frequency ω cr = 0.249 for transition from steady to oscillatory flow are accurately estimated. Characteristic patterns of the 3D oscillatory flow are presented.

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Characterization of the three-dimensional instability in a lid-driven cavity by an adjoint based analysis

Giannetti

Luchini

Marino

2009

Seventh IUTAM Symposium on Laminar-Turbulent Transition

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Strained vortices in driven cavities

Cited by 6 publications

References 42 publications

Theoretical analysis of three-dimensional bifurcated flow inside a diagonally lid-driven cavity

Theoretical analysis of three-dimensional bifurcated flow inside a diagonally lid-driven cavity

Oscillatory instability of fully 3D flow in a cubic diagonally lid-driven cavity

Characterization of the three-dimensional instability in a lid-driven cavity by an adjoint based analysis

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