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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. ISSN 0271-2091. doi:10.1002/fld.1824
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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) | ||||
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| Subjects: | Q Science > QA Mathematics Q Science > QC Physics T Technology > TJ Mechanical engineering and machinery |
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| 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: |
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| Volume: | Volume 57 | ||||
| Number: | Number 9 | ||||
| Number of Pages: | 24 | ||||
| Page Range: | pp. 1435-1458 | ||||
| DOI: | 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 |
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| 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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