GLOBAL INSTABILITIES IN SPATIALLY DEVELOPING FLOWS: Non-Normality and Nonlinearity

By Jean-Marc Chomaz. 2005

756 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/30722ac92f2f2612e9f9f54583e075edc2a18ae2

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In Aerospace Engineering

In Computational Mechanics

Citations in the corpus

Global two-dimensional stability measures of the flat plate boundary-layer flow (2008, background): “This non-normality is considered to be associated with the streamwise separation of the direct and adjoint global modes due to the basic advection [4].”
Nonmodal Stability Theory (2007, methodology): “F or p er so na l u se o nl y. point (Briggs 1964, Chomaz 2005, Huerre & Monkewitz 1990), the position of which in the complex ω-plane determines the convective or absolute instability character of the underlying flow.”
Model Reduction for Flow Analysis and Control (2017, background): “Many examples have shown that POD performs particularly poorly for non-normal systems with large transient growth, as often arise in shear flows (Chomaz 2005).”
Three-dimensional coherent structures in a swirling jet undergoing vortex breakdown: stability analysis and empirical mode construction (2011, background): “They can be described by an unstable global mode (Chomaz 2005) or by local spatio-temporal stability analysis with complex frequency and wavenumber (Huerre & Monkewitz 1990; Monkewitz, Huerre & Chomaz 1993; Pier & Huerre 2001).”
Sensitivity analysis and passive control of cylinder flow (2008, background): “Chomaz (2005) suggested computing not only the leading direct global mode, which describes the self-sustained flow oscillation, but also the associated adjoint global mode.”
Dynamics and Control of Global Instabilities in Open-Flows: A Linearized Approach (2010, methodology): “If the change in feedback function δφ is equal to a Dirac function located at (x0,y0), then δλ(x0,y0) = ũ(x0,y0) · û(x0,y0), and the relation given by Chomaz [44] and Giannetti et al. [59] |δλ(x0,y0)| ≤ ||ũ(x0,y0)||× ||û(x0,y0)|| (32) is recovered from Cauchy-Schwartz.”
Spiral vortex breakdown as a global mode (2006, background): “For a review of these concepts, the reader is referred to Huerre & Monkewitz (1990) and Chomaz (2005) .”