On the frequency selection of finite-amplitude vortex shedding in the cylinder wake

By Benoît Pier. Journal of Fluid Mechanics, 2002

205 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/e4badca8906a92d8941a834f2cb977d807838010

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In Computational Mechanics

Citations in the corpus

On the onset of nonlinear oscillations in a separating boundary-layer flow (2003, background): “wakes (Pier & Huerre 2001) and subsequently for cylinder wakes (Pier 2002) (even though for this latter flow case the hypothesis of slow variation only approximately applies in the vicinity of the cylinder).”
Dynamics and Control of Global Instabilities in Open-Flows: A Linearized Approach (2010, background): “In this case, one has to resort to a strongly non-linear approach, as presented by Pier et al. [46].”
Optimal Strouhal number for swimming animals (2011, background): “In the near wake of this base flow, a transition from convective to absolute instability occurs [51].”
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).”
Global stability of base and mean flows: a general approach and its applications to cylinder and open cavity flows (2007, background): “In the case of wake flows, Hammond & Redekopp (1997) and Pier (2002) have noticed that a linear criterion applied to the mean flow, and not to the base flow, yields particularly good results for the prediction of the frequency of the unsteadiness.”
Conditions for validity of mean flow stability analysis (2016, unknown): “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).”
GLOBAL INSTABILITIES IN SPATIALLY DEVELOPING FLOWS: Non-Normality and Nonlinearity (2005, background): “The other case, where the absolute region is isolated within the fluid (Figure 3b), was considered by Meunier et al. (1997), Pier et al. (1998), Harris et al. (2000), Pier et al. (2001), and Pier (2002).”
Structural sensitivity of the first instability of the cylinder wake (2007, methodology): “The Strouhal number curve has a maximum around Re ≈ 62, in qualitative agreement with the trend reported by Pier (2002, figure 6, filled circle curve) and obtained through an approximate locally plane-wave analysis (see also figure 16 for a comparison). Note, however, that only in the neighbourhood ”
Front propagation into unstable states (2003, unknown): “For a detailed study and discussion of this scenario of vortex shedding, we refer to the recent work by Pier and coworkers [344,345].”