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Analysis of Fluid Systems: Stability, Receptivity, Sensitivity
KTH, School of Engineering Sciences (SCI), Mechanics. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.ORCID iD: 0000-0002-4346-4732
2014 (English)In: Applied Mechanics Review, ISSN 0003-6900, E-ISSN 1088-8535, Vol. 66, no 2, 024803- p.Article, review/survey (Refereed) Published
Abstract [en]

This article presents techniques for the analysis of fluid systems. It adopts an optimization-based point of view, formulating common concepts such as stability and receptivity in terms of a cost functional to be optimized subject to constraints given by the governing equations. This approach differs significantly from eigenvalue-based methods that cover the time-asymptotic limit for stability problems or the resonant limit for receptivity problems. Formal substitution of the solution operator for linear time-invariant systems results in the matrix exponential norm and the resolvent norm as measures to assess the optimal response to initial conditions or external harmonic forcing. The optimization-based approach can be extended by introducing adjoint variables that enforce governing equations and constraints. This step allows the analysis of far more general fluid systems, such as time-varying and nonlinear flows, and the investigation of wavemaker regions, structural sensitivities, and passive control strategies.

Place, publisher, year, edition, pages
2014. Vol. 66, no 2, 024803- p.
Keyword [en]
Base-Flow Variation, Global Instabilities, Boundary-Layer, Cross-Flow, Cylinder, Equations
National Category
Engineering and Technology
URN: urn:nbn:se:kth:diva-146577DOI: 10.1115/1.4026375ISI: 000335815800004ScopusID: 2-s2.0-84896919043OAI: diva2:724628

QC 20140613

Available from: 2014-06-13 Created: 2014-06-12 Last updated: 2014-06-13Bibliographically approved

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Brandt, Luca
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