Stability of viscous flow past a circular cylinder

By A. Zebib. 1987

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Citations in the corpus

Discovering governing equations from data by sparse identification of nonlinear dynamical systems (2015, background): “After 15 years, the first Hopf bifurcation was discovered in a fluid system, in the transition from a steady laminar wake to laminar periodic vortex shedding at Reynolds number 47 (47, 48).”
GLOBAL INSTABILITIES IN SPATIALLY DEVELOPING FLOWS: Non-Normality and Nonlinearity (2005, background): “For the cylinder wake, the primary and secondary instabilities were studied by Jackson (1987), Zebib (1987), Noack & Eckelmann (1994), and Barkley & Henderson (1996), among others.”
Advances in global linear instability analysis of nonparallel and three-dimensional flows (2003, methodology): “Viscous global analysis were reported by Jackson [11] and Zebib [12], who studied global instability of flow around a cylinder, Lee et al.”
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).”
Recursive dynamic mode decomposition of transient and post-transient wake flows (2016, background): “The resulting Reynolds number Re=UDρ/µ is set to 100, i.e. well above the onset of vortex shedding (Zebib 1987; Schumm, Berger & Monkewitz 1994), but well below the onset of three-dimensional instabilities (Zhang et al. 1995; Barkley & Henderson 1996; Williamson 1996).”
Closed-loop control of an open cavity flow using reduced-order models (2009, background): “The stability analysis of flows with more than one inhomogeneous coordinate direction has been first pursued by Zebib (1987) and Jackson (1987) who studied the stability characteristics of flow past a cylinder and other blunt bodies.”
Global stability of base and mean flows: a general approach and its applications to cylinder and open cavity flows (2007, background): “From a historical point of view, Jackson (1987) and Zebib (1987) were the first to approach the linear stability problem globally.”
Dynamics and Control of Global Instabilities in Open-Flows: A Linearized Approach (2010, methodology): “framework were carried out by Zebib [28] and Jackson [29] who described the bifurcation structure of the flow around a cylinder at Re = 47 (see also Noack et al.”
Structural sensitivity of the first instability of the cylinder wake (2007, background): “Zebib (1987) and Hill (1992) located the critical point, evaluating both the base flow and the eigenvalues with a more accurate spectral technique.”
Predicting the onset of flow unsteadiness based on global instability (2007, methodology): “2006 Published by Elsevier Inc. Keywords: Buffet; CFD; Global instability; Transonic flow; URANS; Unsteady flow; Vortex shedding”
A hierarchy of low-dimensional models for the transient and post-transient cylinder wake (2003, background): “The stability analysis predicts that the steady solution us of the Navier–Stokes equation is unstable at Re > 47 (Jackson 1987; Zebib 1987).”