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  1. Theoretical and Computational Fluid Dynamics
  2. Theoretical and Computational Fluid Dynamics : Volume 25
  3. Theoretical and Computational Fluid Dynamics : Volume 25, Issue 1-4, June 2011
  4. Signalling problem in absolutely unstable systems
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Theoretical and Computational Fluid Dynamics : Volume 31
Theoretical and Computational Fluid Dynamics : Volume 30
Theoretical and Computational Fluid Dynamics : Volume 29
Theoretical and Computational Fluid Dynamics : Volume 28
Theoretical and Computational Fluid Dynamics : Volume 27
Theoretical and Computational Fluid Dynamics : Volume 26
Theoretical and Computational Fluid Dynamics : Volume 25
Theoretical and Computational Fluid Dynamics : Volume 25, Issue 6, December 2011
Theoretical and Computational Fluid Dynamics : Volume 25, Issue 5, October 2011
Theoretical and Computational Fluid Dynamics : Volume 25, Issue 1-4, June 2011
Special issue on global flow instability and control
Signalling problem in absolutely unstable systems
Transient growth mechanisms of low Reynolds number flow over a low-pressure turbine blade
Transient growth and bypass transition in stenotic flow with a physiological waveform
On the downstream development and breakup of systems of trailing-line vortices
Global instabilities in diverging channel flows
Spatially developing secondary instabilities in compressible swept airfoil boundary layers
Hypersonic viscous flow over large roughness elements
On the birth of stall cells on airfoils
Global stability of separated flows: subsonic flow past corners : Global stability of separated flows
Self-sustained global oscillations in a jet in crossflow
Modeling of optimal perturbations in flat plate boundary layer using global modes: benefits and limits
Control of Tollmien–Schlichting instabilities by finite distributed wall actuation
Global modes in a confined impinging jet: application to heat transfer and control
Control of a separated boundary layer: reduced-order modeling using global modes revisited
Closed-loop bluff-body wake stabilization via fluidic excitation
Feedback control of vortex shedding from an inclined flat plate
Reduced-order models for control of fluids using the eigensystem realization algorithm
Applications of the dynamic mode decomposition
Theoretical and Computational Fluid Dynamics : Volume 24
Theoretical and Computational Fluid Dynamics : Volume 23
Theoretical and Computational Fluid Dynamics : Volume 22
Theoretical and Computational Fluid Dynamics : Volume 21
Theoretical and Computational Fluid Dynamics : Volume 20
Theoretical and Computational Fluid Dynamics : Volume 19
Theoretical and Computational Fluid Dynamics : Volume 18
Theoretical and Computational Fluid Dynamics : Volume 17
Theoretical and Computational Fluid Dynamics : Volume 16
Theoretical and Computational Fluid Dynamics : Volume 15
Theoretical and Computational Fluid Dynamics : Volume 14
Theoretical and Computational Fluid Dynamics : Volume 13
Theoretical and Computational Fluid Dynamics : Volume 12
Theoretical and Computational Fluid Dynamics : Volume 11
Theoretical and Computational Fluid Dynamics : Volume 10
Theoretical and Computational Fluid Dynamics : Volume 9

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Signalling problem in absolutely unstable systems

Content Provider SpringerLink
Author Pier, Beît
Copyright Year 2009
Abstract The dynamics of unstable systems crucially depends on the nature of the instability, either convective or absolute. The signalling problem, which is the study of the spatial response to a localized time-harmonic forcing, is generally believed to be relevant only for stable or convectively unstable systems and to be ill-posed for absolutely unstable systems, where the self-sustained perturbations grow faster than the forced harmonic response. The present investigation shows that the signalling problem may still be well posed for media displaying absolutely unstable regions. Considering weakly spatially inhomogenous systems, conditions are derived for the validity of the signalling problem. The complete spatial response to harmonic forcing is first analytically derived in terms of asymptotic approximations and then confirmed by direct numerical simulations.
Ending Page 17
Page Count 11
Starting Page 7
File Format PDF
ISSN 09354964
e-ISSN 14322250
Journal Theoretical and Computational Fluid Dynamics
Issue Number 1-4
Volume Number 25
Language English
Publisher Springer-Verlag
Publisher Date 2009-10-22
Publisher Place Berlin, Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Signalling problem WKBJ Engineering Fluid Dynamics Absolute instabilities Causality Computational Science and Engineering Classical Continuum Physics
Content Type Text
Resource Type Article
Subject Fluid Flow and Transfer Processes Condensed Matter Physics Computational Mechanics
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