Barkley, Dwight, Blackburn, H. M. and Sherwin, Spencer J. (2008) Direct optimal growth analysis for timesteppers. In: 14th International Conference on Finite Elements in Flow Problems, Santa Fe, NM, Mar 24-28, 2007. Published in: International Journal for Numerical Methods in Fluids, Volume 57 (Number 9). pp. 1435-1458.

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Abstract

Methods are described for transient growth analysis of flows with arbitrary geometric complexity, where in particular the flow is not required to vary slowly in the streamwise direction. Emphasis is on capturing the global effects arising from localized convective stability in streamwise-varying flows. The methods employ the 'timestepper's approach' in which a nonlinear Navier-Stokes code is modified to provide evolution operators for both the forward and adjoint linearized equations. First, the underlying mathematical treatment in primitive flow variables is presented. Then, details are given for the inner level code modifications and outer level eigenvalue and SVD algorithms in the timestepper's approach. Finally, some examples are shown and guidance provided on practical aspects of this type of large-scale stability analysis. Copyright (C) 2008 John Wiley & Sons, Ltd.

Item Type:	Conference Item (UNSPECIFIED)
Subjects:	Q Science > QA Mathematics Q Science > QC Physics T Technology > TJ Mechanical engineering and machinery
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Large scale systems, System analysis, Stability, Eigenvalues, Navier-Stokes equations
Journal or Publication Title:	International Journal for Numerical Methods in Fluids
Publisher:	John Wiley & Sons Ltd.
ISSN:	0271-2091
Date:	30 July 2008
Volume:	Volume 57
Number:	Number 9
Number of Pages:	24
Page Range:	pp. 1435-1458
Identification Number:	10.1002/fld.1824
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Description:	Special Issue: 14th International Conference on Finite Elements in Flow Problems
Funder:	Engineering and Physical Sciences Research Council (EPSRC), Senior Fellowship of the City of Paris
Grant number:	EP/E006493/1 (EPSRC)
Title of Event:	14th International Conference on Finite Elements in Flow Problems
Type of Event:	Conference
Location of Event:	Santa Fe, NM
Date(s) of Event:	Mar 24-28, 2007
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URI:	http://wrap.warwick.ac.uk/id/eprint/29633

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