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    Analysis of Fluid Systems: Stability, Receptivity, SensitivityLecture notes from the FLOW NORDITA Summer School on Advanced Instability Methods for Complex Flows, Stockholm, Sweden, 2013

    Source: Applied Mechanics Reviews:;2014:;volume( 066 ):;issue: 002::page 24803
    Author:
    Schmid, Peter J.
    ,
    Brandt, Luca
    DOI: 10.1115/1.4026375
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This article presents techniques for the analysis of fluid systems. It adopts an optimizationbased 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 eigenvaluebased methods that cover the timeasymptotic limit for stability problems or the resonant limit for receptivity problems. Formal substitution of the solution operator for linear timeinvariant 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 optimizationbased 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 timevarying and nonlinear flows, and the investigation of wavemaker regions, structural sensitivities, and passive control strategies.
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      Analysis of Fluid Systems: Stability, Receptivity, SensitivityLecture notes from the FLOW NORDITA Summer School on Advanced Instability Methods for Complex Flows, Stockholm, Sweden, 2013

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    http://yetl.yabesh.ir/yetl1/handle/yetl/153684
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    contributor authorSchmid, Peter J.
    contributor authorBrandt, Luca
    date accessioned2017-05-09T01:04:28Z
    date available2017-05-09T01:04:28Z
    date issued2014
    identifier issn0003-6900
    identifier otheramr_066_02_024803.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/153684
    description abstractThis article presents techniques for the analysis of fluid systems. It adopts an optimizationbased 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 eigenvaluebased methods that cover the timeasymptotic limit for stability problems or the resonant limit for receptivity problems. Formal substitution of the solution operator for linear timeinvariant 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 optimizationbased 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 timevarying and nonlinear flows, and the investigation of wavemaker regions, structural sensitivities, and passive control strategies.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAnalysis of Fluid Systems: Stability, Receptivity, SensitivityLecture notes from the FLOW NORDITA Summer School on Advanced Instability Methods for Complex Flows, Stockholm, Sweden, 2013
    typeJournal Paper
    journal volume66
    journal issue2
    journal titleApplied Mechanics Reviews
    identifier doi10.1115/1.4026375
    journal fristpage24803
    journal lastpage24803
    identifier eissn0003-6900
    treeApplied Mechanics Reviews:;2014:;volume( 066 ):;issue: 002
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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