title: On the Use of Matrix-Free Shift-Invert Strategies For Global Flow Instability Analysis
creator: Gómez Carrasco, Francisco
creator: Pérez Pérez, José Miguel
creator: Blackburn, Hugh M.
creator: Theofilis, Vassilios
subject: Aeronautics
description: 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.
publisher: E.T.S.I. Aeronáuticos (UPM)
rights: https://creativecommons.org/licenses/by-nc-nd/3.0/es/
date: 2015-07
type: info:eu-repo/semantics/article
type: Article
source: Aerospace Science and Technology, ISSN 1270-9638, 2015-07, Vol. 44
type: PeerReviewed
format: application/pdf
language: eng
relation: http://www.sciencedirect.com/science/article/pii/S1270963814002284
relation: info:eu-repo/grantAgreement/MINECO//MICINN-TRA2009-13648
relation: info:eu-repo/grantAgreement/EC/FP7/247651
rights: info:eu-repo/semantics/openAccess
relation: info:eu-repo/semantics/altIdentifier/doi/10.1016/j.ast.2014.11.003
identifier: https://oa.upm.es/36553/