Structural sensitivity of the first instability of the cylinder wake

By F. Giannetti, Paolo Luchini. Journal of Fluid Mechanics, 2007

572 citations recorded by the source corpus.

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In Computational Mechanics

Citations in the corpus

Paths and wakes of deformable nearly spheroidal rising bubbles close to the transition to path instability (2016, background): “Indeed, this instability is absolute in nature and finds its root in the wavemaker located in the core of the standing eddy [63].”
Drag and lift reduction of a 3D bluff-body using active vortex generators (2010, background): “2001) and theoretically (Giannetti and Luchini 2007) that it is possible to modify the structure of the near wake of cylinder of diameter d using a smaller cylinder (typically d/10).”
Coherent structures in a swirl injector at Re = 4800 by nonlinear simulations and linear global modes (2016, methodology): “The governing equations for the corresponding adjoint eigenmodes (u+, p+) can be derived for example by using the Lagrange identity (Giannetti & Luchini 2007).”
Wavepackets and trapped acoustic modes in a turbulent jet: coherent structure eduction and global stability (2017, methodology): “In a different context, such maps have been used by Giannetti & Luchini (2007) and Chomaz (2005) to determine an upper bound for the sensitivity of eigenvalues to spatially localized feedback.”
Global stability of a jet in crossflow (2009, background): “A localized feedback force of the perturbation velocity in this region results in the largest drift of the eigenvalue (Giannetti & Luchini 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 the cylinder flow, several authors, including Ding & Kawahara (1999), Barkley (2006) and Giannetti & Luchini (2007), revisited the linear stability of this flow recently.”
Adjoint Equations in Stability Analysis (2014, methodology): “Equation (33) was used to introduce the structural-sensitivity map of a global mode as a means to determine its wavemaker (Giannetti & Luchini 2003, 2007).”
Sensitivity analysis and passive control of cylinder flow (2008, background): “Giannetti & Luchini (2007) have introduced the concept of a wavemaker in the global framework by identifying regions of the flow where generic structural modifications of the stability problem produce the strongest drift of the leading eigenvalue.”
Instability and sensitivity of the flow around a rotating circular cylinder (2010, methodology): “…is investigated through the eigenvalue problem defined by the linearized perturbation equations (2.3) and (2.4), where an inverse iteration algorithm is implemented to compute the least stable eigenvalue and eigenmode (see Giannetti & Luchini 2007 for further details on the numerical approach).”
Variants of Dynamic Mode Decomposition: Boundary Condition, Koopman, and Fourier Analyses (2012, background): “The qualitative nature of this unstable mode is consistent with previous results, such as the eigenmode analyses of Giannetti and Luchini (2007) and Marquet et al. (2008) of the −1 −0.5 0 0.5 1 −1 −0.5 0 0.5 1 (”
Dynamics and Control of Global Instabilities in Open-Flows: A Linearized Approach (2010, background): “[59], (b): ”wavemaker” region for Re = 47 identified by the field W in the vicinity of the bifurcation”