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Direct optimal growth analysis for timesteppers

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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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Official URL: http://dx.doi.org/10.1002/fld.1824

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

Official Date:

30 July 2008

Dates:

Date	Event
30 July 2008	Published

Volume:

Volume 57

Number:

Number 9

Number of Pages:

Page Range:

pp. 1435-1458

Identifier:

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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