On the Use of Matrix-Free Shift-Invert Strategies For Global Flow Instability Analysis

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.

Description

Title: On the Use of Matrix-Free Shift-Invert Strategies For Global Flow Instability Analysis
Author/s:
  • Gómez Carrasco, Francisco
  • Pérez Pérez, José Miguel
  • Blackburn, Hugh M.
  • Theofilis, Vassilios
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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Abstract

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.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainMICINN-TRA2009-13648UnspecifiedUnspecifiedMetodologias computacionales para la predicción de inestabilidades globales hidrodinámicas y aeroacústicas de flujos complejos
FP7247651ICOMASEFUnspecifiedInstability and COntrol of MAssively SEparated Flows

More information

Item ID: 36553
DC Identifier: http://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
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