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.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    On the use of matrix-free shift-invert strategies for global flow instability analysis


    Beteiligte:

    Erschienen in:

    Erscheinungsdatum :

    2014-11-11


    Format / Umfang :

    8 pages




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch





    A SHIFT-INVERT STRATEGY FOR GLOBAL FLOW INSTABILITY ANALYSIS USING MATRIX-FREE METHODS

    Perez, J. / Gomez, F. / Theofilis, V. et al. | British Library Conference Proceedings | 2012


    A Shift-Invert Strategy for Global Flow Instability Analysis Using Matrix-Free Methods

    Perez, Jose / Gomez, Francisco / Blackburn, Hugh et al. | AIAA | 2012


    The Freedom To Invert Power

    Online Contents | 2010


    Hydraulic Characteristics of Buried-Invert Elliptical Culverts

    Tullis, Blake P. / Robinson, S. Collin / Young, Jacob C. | Transportation Research Record | 2005