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 language | English (US) |
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Pages (from-to) | 3912-3927 |
Number of pages | 16 |
Journal | Journal of Computational Physics |
Volume | 231 |
Issue number | 10 |
DOIs | |
State | Published - May 20 2012 |
Externally published | Yes |
Bibliographical note
Generated from Scopus record by KAUST IRTS on 2022-09-13ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
- Computer Science Applications