On two-dimensional temporal modes in spatially evolving open flows: the flat-plate boundary layer

By U. Ehrenstein, F. Gallaire. Journal of Fluid Mechanics, 2005

178 citations recorded by the source corpus.

Subfields: Computational Mechanics, Environmental Engineering

View Paper: https://www.semanticscholar.org/paper/055013507a90511b80fe971901f46c5b411f1ab8

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In Computational Mechanics

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Citations in the corpus

Global two-dimensional stability measures of the flat plate boundary-layer flow (2008, methodology): “As discussed in Ehrenstein and Gallaire [6], this is linked to the convective nature of the boundary layer flow.”
Input–output analysis, model reduction and control of the flat-plate boundary layer (2009, background): “Note that there are no isolated eigenvalues in the spectrum of the spatially developing Blasius flow (Ehrenstein & Gallaire 2005; Åkervik et al. 2008), and therefore the frequency response is rather smooth with no peaks.”
Direct optimal growth analysis for timesteppers (2008, background): “Only recently, however, have large-scale techniques been extended to the transient growth problem [9–12].”
Convective instability and transient growth in flow over a backward-facing step (2007, methodology): “Also, with different emphasis from the present approach, Ehrenstein & Gallaire (2005) have directly computed modes in boundary-layer flow to analyse transient growth associated with convective instability.”
Optimal growth, model reduction and control in a separated boundary-layer flow using global eigenmodes (2007, methodology): “A similar procedure has been used in Ehrenstein & Gallaire (2005) for the computation of global modes in the flat-plate boundary layer.”
Characterization of noise amplifiers with global singular modes: the case of the leading-edge flat-plate boundary layer (2013, result): “This has not yet been done, since only global modes, that is, eigenvectors of the GLNS operator, have been compared to results obtained by the eN method [21] and [16].”
Global three-dimensional optimal disturbances in the Blasius boundary-layer flow using time-steppers (2010, methodology): “In the global framework, however, the global eigenmodes belonging to the TS branch are damped (Ehrenstein & Gallaire 2005), and the evolution of TS waves consists of cooperating global modes that produce wave packets.”
Closed-loop control of an open cavity flow using reduced-order models (2009, methodology): “…of separated flows we mention Ding & Kawahara (1999) who studied flow in the wake of a cylinder, Barkley, Gomes & Henderson (2002) who analysed flow over a backward-facing step and Ehrenstein & Gallaire (2005, 2008) who treated the separated flow over a smooth bump as a global stability problem.”