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Gómez Carrasco, Francisco and Pérez Pérez, José Miguel and Blackburn, Hugh M. and Theofilis, Vassilios (2015). On the Use of Matrix-Free Shift-Invert Strategies For Global Flow Instability Analysis. "Aerospace Science and Technology", v. 44 ; pp. 69-76. ISSN 1270-9638. https://doi.org/10.1016/j.ast.2014.11.003.
Title: | On the Use of Matrix-Free Shift-Invert Strategies For Global Flow Instability Analysis |
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Author/s: |
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Item Type: | Article |
Título de Revista/Publicación: | Aerospace Science and Technology |
Date: | July 2015 |
ISSN: | 1270-9638 |
Volume: | 44 |
Subjects: | |
Freetext Keywords: | Global linear instability analysis, Large-scale eigenvalue problems, Krylov subspace, Jacobian-free methods |
Faculty: | E.T.S.I. Aeronáuticos (UPM) |
Department: | Motopropulsión y Termofluidodinámica [hasta 2014] |
Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
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A novel time-stepping shift-invert algorithm for linear stability analysis of laminar flows in complex geometries is presented. This method, based on a Krylov subspace iteration, enables the solution of complex non-symmetric eigenvalue problems in a matrix-free framework. Validations and comparisons to the classical exponential method have been performed in three different cases: (i) stenotic flow, (ii) backward-facing step and (iii) lid-driven swirling flow. Results show that this new approach speeds up the required Krylov subspace iterations and has the capability of converging to specific parts of the global spectrum. It is shown that, although the exponential method remains the method of choice if leading eigenvalues are sought, the performance of the present method could be dramatically improved with the use of a preconditioner. In addition, as opposed to other methods, this strategy can be directly applied to any time-stepper, regardless of the temporal or spatial discretization of the latter.
Type | Code | Acronym | Leader | Title |
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Government of Spain | MICINN-TRA2009-13648 | Unspecified | Unspecified | Metodologias computacionales para la predicción de inestabilidades globales hidrodinámicas y aeroacústicas de flujos complejos |
FP7 | 247651 | ICOMASEF | Unspecified | Instability and COntrol of MAssively SEparated Flows |
Item ID: | 36553 |
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DC Identifier: | https://oa.upm.es/36553/ |
OAI Identifier: | oai:oa.upm.es:36553 |
DOI: | 10.1016/j.ast.2014.11.003 |
Official URL: | http://www.sciencedirect.com/science/article/pii/S1270963814002284 |
Deposited by: | Memoria Investigacion |
Deposited on: | 27 Jul 2015 17:14 |
Last Modified: | 31 May 2019 16:44 |