Global stability of base and mean flows: a general approach and its applications to cylinder and open cavity flows

By Denis Sipp, A. Lebedev. Journal of Fluid Mechanics, 2007

405 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/2a273997e1981b8d2e5ed056044d93eebea561c2

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In Biomedical Engineering

In Computational Mechanics

Citations in the corpus

Sensitivity analysis and passive control of cylinder flow (2008, background): “A global instability has clearly been identified as responsible for the onset of the vortex shedding process (Jackson 1987; Zebib 1987) but substantial work is still devoted to understanding the mechanism for selecting its frequency (Pier 2002; Barkley 2006; Sipp & Lebedev 2007).”
Conditions for validity of mean flow stability analysis (2016, neutral): “Among those, Sipp & Lebedev (2007) focused on self-excited systems which present a strong dominating frequency.”
Stability, Receptivity, and Sensitivity Analyses of Buffeting Transonic Flow over a Profile (2015, background): “These observations are in stark contrast with respect to more traditional flows undergoing a Hopf bifurcation, such as the cylinder flow or the open-cavity flow [33].”
Global stability of a jet in crossflow (2009, background): “A large deviation between the linear and nonlinear saturated frequencies can to some extent be related to a large difference between the time-averaged mean flow and the steady solution, i.e. the mean flow distortion (see the recent work by Barkley 2006; Sipp & Lebedev 2007).”
Characterization of noise amplifiers with global singular modes: the case of the leading-edge flat-plate boundary layer (2013, background): “[5] showed that the first bifurcation was linked to a Hopf bifurcation.”
Dynamics and Control of Global Instabilities in Open-Flows: A Linearized Approach (2010, background): “It was shown [11] that κr > 0 which indicates that the flow is unstable for super-critical Reynolds numbers (ε > 0).”
Resolvent-analysis-based design of airfoil separation control (2018, background): “Such an approach forms an eigenvalue problem for the global instability modes and emphasizes on the spectrum of the linearized Navier–Stokes operator (Barkley & Henderson 1996; Sipp & Lebedev 2007; Liu et al. 2016; Sun et al. 2017; Taira et al. 2017).”
Coherent structures in a swirl injector at Re = 4800 by nonlinear simulations and linear global modes (2016, background): “We therefore conclude that the criteria of Sipp & Lebedev (2007) are highly likely to be satisfied.”
Closed-loop control of an open cavity flow using reduced-order models (2009, methodology): “This type of flow exhibits a recirculating component (confined geometrically to the cavity) as well as a strong shear layer that forms at the top of the cavity and, for sufficiently high Reynolds number, becomes unstable and settles into a characteristic periodic motion (see Sipp & Lebedev 2007).”