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Modal Stability Theory: Lecture notes from the FLOW-NORDITA Summer School on Advanced Instability Methods for Complex Flows, Stockholm, Sweden, 2013
Cambridge University.
KTH, School of Engineering Sciences (SCI), Mechanics, Stability, Transition and Control. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW. Swedish Defence Research Agency.ORCID iD: 0000-0002-5913-5431
Universidad Politécnica de Madrid.
2014 (English)In: Applied Mechanics Review, ISSN 0003-6900, E-ISSN 1088-8535, Vol. 66, no 2, 024804- p., AMR-13-1059Article, review/survey (Refereed) Published
Abstract [en]

This article contains a review of modal stability theory. It covers local stability analysis of parallel flows including temporal stability, spatial stability, phase velocity, group velocity, spatio-temporal stability, the linearized Navier-Stokes equations, the Orr-Sommerfeld equation, the Rayleigh equation, the Briggs-Bers criterion, Poiseuille flow, free shear flows, and secondary modal instability. It also covers the parabolized stability equation (PSE), temporal and spatial biglobal theory, 2D eigenvalue problems, 3D eigenvalue problems, spectral collocation methods, and other numerical solution methods. Computer codes are provided for tutorials described in the article. These tutorials cover the main topics of the article and can be adapted to form the basis of research codes.

Place, publisher, year, edition, pages
ASME Press, 2014. Vol. 66, no 2, 024804- p., AMR-13-1059
Keyword [en]
Global Linear Instability, Boundary-Layer Receptivity, Temporal Eigenvalue Spectrum, Laminar-Turbulent Transition, Finite-Difference Schemes, Orr-Sommerfeld Equation, Spatial Optimal-Growth, Secondary Instability, Numerical-Simulation, Rectangular Duct
National Category
Engineering and Technology
URN: urn:nbn:se:kth:diva-146576DOI: 10.1115/1.4026604ISI: 000335815800005ScopusID: 2-s2.0-84896953011OAI: diva2:724625

QC 20140613. QC 20160211

Available from: 2014-06-13 Created: 2014-06-12 Last updated: 2016-02-11Bibliographically approved

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Hanifi, Ardeshir
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Stability, Transition and ControlLinné Flow Center, FLOW
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