Linear analysis of the cylinder wake mean flow

By Dwight Barkley. 2006

385 citations recorded by the source corpus.

Subfields: Computational Mechanics, Environmental Engineering

View Paper: https://www.semanticscholar.org/paper/93d48a9b846d8bd9ef92e4b597521e3cec809432

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In Computational Mechanics

In Environmental Engineering

Citations in the corpus

Mechanism of frequency lock-in in vortex-induced vibrations at low Reynolds numbers (2015, positive): “For Re= 60, the eigenfrequency of the uncoupled WM analysed by our unsteady aerodynamic model is Fw−l = 0.12, which is consistent with that obtained by Barkley (2006) from linear stability analysis of the base flow.”
Dynamics and Control of Global Instabilities in Open-Flows: A Linearized Approach (2010, background): “The hydrodynamic stability community [36] has incorporated these new tools into the stability analyses of increasingly complex configurations, among them: Barkley et al. [37] for the case of a backward-facing step; Gallaire et al. [38] for the flow over a smooth bump; Sipp et al. [11] for the flow o”
Global stability of a jet in crossflow (2009, background): “Similar to observations of the wake behind a cylinder (Barkley 2006), the steady separation region (downstream of the jet exit) is altered due to the saturated global modes yielding a significantly larger separation bubble and mean flow distortion.”
Stability, Receptivity, and Sensitivity Analyses of Buffeting Transonic Flow over a Profile (2015, background): “Such results are not common: for example, in the case of cylinder flow [34], the base-flow and limit-cycle frequencies increasingly diverge as the Reynolds number departs from criticality.”
Coherent structures in a swirl injector at Re = 4800 by nonlinear simulations and linear global modes (2016, methodology): “(2003) states that a stability analysis around a mean flow will produce the limit cycle as a neutrally stable global mode, which was later confirmed by Barkley (2006) for the cylinder flow.”
Stability and receptivity characteristics of a laminar separation bubble on an aerofoil (2010, background): “This trend agrees with the work of Barkley (2006), who, for the case of bluff-body shedding, determined that stability analysis of the timeaveraged flow exhibits reduced growth rates as compared with that of a symmetrized ‘base flow’.”
Feedback control of unstable steady states of flow past a flat plate using reduced-order estimators (2009, methodology): “These modes are qualitatively similar to the structures during periodic vortex shedding, but have different spatial wavelengths, as reported in earlier studies by Noack et al. (2003) and Barkley (2006).”
Global stability of base and mean flows: a general approach and its applications to cylinder and open cavity flows (2007, methodology): “In the case of the cylinder flow, several authors, including Ding & Kawahara (1999), Barkley (2006) and Giannetti & Luchini (2007), revisited the linear stability of this flow recently.”
Conditions for validity of mean flow stability analysis (2016, neutral): “For example, in the cylinder case, a linear stability analysis around the mean flow gives an excellent prediction of the vortex shedding frequency, even far from criticality (Pier 2002; Barkley 2006).”
Sensitivity analysis and passive control of cylinder flow (2008, background): “Note that the global stability analysis of the base flow fails to capture the frequency of the vortex shedding for Reynolds numbers above Rec (for further details, see Barkley 2006; Sipp & Lebedev 2007).”