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Titre : |
Efficient methods for computing spectral projectors for linearized hydrodynamic equations |
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Année : |
2008 |
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Type : |
article (revue avec comité de lecture) |
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Auteurs : |
G. Hechme, Y. Nechepurenko, M. Sadkane |
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Résumé : |
This paper presents efficient methods for computing the spectral projectors for hydrodynamic equations, linearized at a steady state and approximated with respect to space. The focus is on the spectral projectors corresponding to a given part of the finite spectrum. In the case when the size of the problem is not too large, a QR-based method is proposed and compared with the $QZ$ method. In the large scale case, two variants of the Jacobi-Davidson method, with a deflation procedure, are developed. In both cases, the computed spectral projectors can be used to construct low-order models suited for the context of hydrodynamic stability. Numerical results are reported. |
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Thèmes : |
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Référence : |
SIAM journal on Scientific Computing - vol. 31(1) (pp 667-686 ) |
