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Analysis of Fluid Systems: Stability, Receptivity, Sensitivity
KTH, Skolan för teknikvetenskap (SCI), Mekanik. KTH, Skolan för teknikvetenskap (SCI), Centra, Linné Flow Center, FLOW.ORCID-id: 0000-0002-4346-4732
2014 (Engelska)Ingår i: Applied Mechanics Review, ISSN 0003-6900, E-ISSN 1088-8535, Vol. 66, nr 2, s. 024803-Artikel, forskningsöversikt (Refereegranskat) 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.

Ort, förlag, år, upplaga, sidor
2014. Vol. 66, nr 2, s. 024803-
Nyckelord [en]
Base-Flow Variation, Global Instabilities, Boundary-Layer, Cross-Flow, Cylinder, Equations
Nationell ämneskategori
Teknik och teknologier
Identifikatorer
URN: urn:nbn:se:kth:diva-146577DOI: 10.1115/1.4026375ISI: 000335815800004Scopus ID: 2-s2.0-84896919043OAI: oai:DiVA.org:kth-146577DiVA, id: diva2:724628
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QC 20140613

Tillgänglig från: 2014-06-13 Skapad: 2014-06-12 Senast uppdaterad: 2017-12-05Bibliografiskt granskad

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Brandt, Luca

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