A finite-element study of the onset of vortex shedding in flow past variously shaped bodies

By C. P. Jackson. 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 [17, 45, 32].”
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.”
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.”
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.”
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.”
Predicting the onset of flow unsteadiness based on global instability (2007, background): “The original results of Jackson [7] gave a critical Strouhal frequency of S 1⁄4 0:136.”
Stability, Receptivity, and Sensitivity Analyses of Buffeting Transonic Flow over a Profile (2015, background): “critical Reynolds number is responsible for vortex shedding in a cylinder wake [19].”
A data-assimilation method for Reynolds-averaged Navier–Stokes-driven mean flow reconstruction (2014, background): “(3.2) This flow has been shown (see Jackson 1987) to undergo a first transition (more precisely, a supercritical Hopf bifurcation) at a critical Reynolds number of Rec ' 46, above which the base flow (solution of the system (2.4) with f = 0) is no longer stable.”
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).”
Permeable and non‐reflecting boundary conditions in SPH (2009, background): “Unsteady vortex shedding occurs at Reynolds numbers above about 45 [19].”
Characterization of noise amplifiers with global singular modes: the case of the leading-edge flat-plate boundary layer (2013, methodology): “In the case of the cylinder flow, Zebib [2], Jackson [3], Provansal et al.”
Structural sensitivity of the first instability of the cylinder wake (2007, background): “According to our calculations, the onset of the instability occurs at Rec ≈ 46.7, a value which is in good agreement with the numerical results of Jackson (1987), Dusĕk, Le Gal & Fraunié (1994) and Sheard, Thompson & Hourigan (2001) and with the threshold of 47 observed in experiments (Mathis,…”
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).”
Advances in global linear instability analysis of nonparallel and three-dimensional flows (2003, methodology): “An indicative list contains finite-difference [81,74], finite-volume [82,83] and finite-element approaches [11,84,85], spectral Galerkin/collocation methods [86,14,73,87], spectral element methods [24,88] and mixed finite-difference/spectral schemes [66,69].”