A relaxation method for large eigenvalue problems, with an application to flow stability analysis

X. Garnaud, L. Lesshafft, P. J. Schmid, J. M. Chomaz

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

Linear stability analysis of fluid flows usually involves the numerical solution of large eigenvalue problems. We present a spectral transformation allowing the computation of the least stable eigenmodes in a prescribed frequency range, based on the filtering of the linearized equations of motion. This "shift-relax" method has the advantage of low memory requirements and is therefore suitable for large two- or three-dimensional problems. For demonstration purposes, this new method is applied to compute eigenmodes of a compressible jet. © 2012 Elsevier Inc.
Original languageEnglish (US)
Pages (from-to)3912-3927
Number of pages16
JournalJournal of Computational Physics
Volume231
Issue number10
DOIs
StatePublished - May 20 2012
Externally publishedYes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2022-09-13

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)
  • Computer Science Applications

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