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A relaxation method for large eigenvalue problems, with an application to flow stability analysis
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DOI：10.1016/j.jcp.2012.01.038.png)
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Abstract
En 中文
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. (C) 2012 Elsevier Inc. All rights reserved.
Keywords:
Eigenvalue solver
Spectral transformation
Krylov method
Matrix-free
Global modes
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