Applications of resolvent analysis in fluid mechanics
- Creators
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McKeon, Beverley
Abstract
These notes are intended to provide a description of some aspects of applications of resolvent analysis in fluid mechanics. They are targeted at students beginning research in this or related area, with the goal of providing a bridge between the generic linear algebra of textbooks and the archival journal articles implementing these techniques. With regards to mathematical techniques, a working understanding of fundamental concepts of linear algebra, and in particular the singular value decomposition, as well a familiarity with the goals underlying modal analysis are assumed. Requiring more background in fluid mechanics, the reader will already be familiar with the formulation of resolvent analysis from the Navier-Stokes equations. These notes outline approaches to gaining insight into the characteristics of fluid system by viewing the governing equations in terms of linear dynamics driven by endogenous (nonlinear) or exogenous forcing. Such systems may exhibit laminar or turbulent behavior, may be forced or unforced, and may perhaps be under the influence of control actuation. Physical interpretation of resolvent modes, the importance of mode weights and techniques for data reconstruction, and the incorporation of control into the analysis are covered.
Additional Information
EPSRC Summer School on Modal Decompositions in Fluid Mechanics, University of Cambridge, 5-8 August 2019.Attached Files
Accepted Version - Resolvent-applications_McKeon.pdf
Files
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Additional details
- Alternative title
- EPSRC Summer School on Modal Decompositions in Fluid Mechanics. Resolvent Analysis 2
- Eprint ID
- 119503
- Resolver ID
- CaltechAUTHORS:20230224-222303039
- Created
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2023-02-24Created from EPrint's datestamp field
- Updated
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2023-02-24Created from EPrint's last_modified field
- Caltech groups
- GALCIT