Advances in global linear instability analysis of nonparallel and three-dimensional flows

By V. Theofilis. 2003

495 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/5779431130adffa2d31d275953ea17aa60b76ed4

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

Citations in the corpus

Stability and receptivity characteristics of a laminar separation bubble on an aerofoil (2010, background): “…stability equations account for modest streamwise variations in the base flow (Herbert 1997), whilst performing two- and three-dimensional linear stability analyses, procedures that have been termed ‘BiGlobal’ and ‘TriGlobal’ analyses, allows investigation of complex geometries (Theofilis 2003).”
GLOBAL INSTABILITIES IN SPATIALLY DEVELOPING FLOWS: Non-Normality and Nonlinearity (2005, background): “Theofilis (2003) reviewed aeronautical applications of global stability computation.”
Bifurcations in shock-wave/laminar-boundary-layer interaction: global instability approach (2007, methodology): “This computational strategy has been successfully used for the first time in compressible global eigenproblem by Theofilis & Colonius (2004) for compressible open cavity problem.”
Closed-loop control of an open cavity flow using reduced-order models (2009, background): “Even the stability of more application-oriented geometries has recently been treated from a global perspective (e.g. Crouch, Garbaruk & Magidov 2007 analysing the onset of transonic shock-buffeting; see Theofilis 2000 for a review of global stability analysis in aeronautical applications).”
Application of the dynamic mode decomposition to experimental data (2011, background): “In the numerical field, ever-increasing computer resources have recently enabled the analysis of rather complex flows as to their global stability, receptivity and controllability (Edwards et al. 1994; Lehoucq and Scott 1997; Theofilis 2000).”
Direct numerical simulations of forced and unforced separation bubbles on an airfoil at incidence (2008, background): “…rates were found to be significantly lower than those associated with amplification of convective instabilities within the shear layer; however Theofilis (2003) suggests that the existence of this mode may potentially be relevant to the phenomenon of vortex shedding from separation bubbles as…”
Resolvent-analysis-based design of airfoil separation control (2018, unknown): “…setup in the present study allows for the biglobal-mode representation for q̌ and ǔ as the sum of temporal and spanwise Fourier modes (Theofilis 2003) respectively as q̌(x, y, z, t) = ∫ ∞ −∞ ∫ ∞ −∞ q̂kz,ω(x, y)e i(kzz−ωt)dωdkz (3.5) and ǔ(x, y, z, t) = ∫ ∞ −∞ ∫ ∞ −∞ ûkz,ω(x,…”
Instability and sensitivity of the flow around a rotating circular cylinder (2010, background): “The need for global modes to account for spatially inhomogeneous flows is discussed for example by Theofilis (2003) and Chomaz (2005).”
Dynamics and Control of Global Instabilities in Open-Flows: A Linearized Approach (2010, methodology): “The hydrodynamic stability community [36] has incorporated these new tools into the stability analyses of increasingly complex configurations, among them: Barkley et al.”
Laminar–turbulent transition induced by a discrete roughness element in a supersonic boundary layer (2013, background): “More details can be found in the literature (Saad 1980; Theofilis 2003).”
The effect of small-amplitude convective disturbances on the size and bursting of a laminar separation bubble (2011, background): “Jones et al. (2008) suggest to investigate the possibility of a global instability mode (Theofilis 2003).”
Predicting the onset of flow unsteadiness based on global instability (2007, unknown): “This approach has also been used to study a wide range of classic stability problems involving laminar basic states [10].”
Origin of transonic buffet on aerofoils (2007, methodology): “Global-stability theory has been used to analyse a wide variety of low-speed laminar flows, as reviewed by Theofilis (2003).”
Applications of the dynamic mode decomposition (2011, background): “, the decomposition of flow fields in complex geometries into modal structures, are becoming increasingly commonplace, and efficient algorithms are available for the extraction of stability information from numerical simulations of flows in complex configurations [24].”
Nonmodal Stability Theory (2007, background): “For flows with multiple inhomogeneous directions, say x and y, eigenfields (x, y) have to be determined together with the corresponding eigenvalues (Theofilis 2003).”