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A comparison of solvers for quadratic eigenvalue problems from combustion

✍ Scribed by C. Sensiau; F. Nicoud; M. van Gijzen; J. W. van Leeuwen

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
83 KB
Volume
56
Category
Article
ISSN
0271-2091

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✦ Synopsis

Abstract

Two iterative subspace methods (Arnoldi and Jacobi–Davidson) are compared for solving typical quadratic eigenvalue problems arising when studying combustion instabilities. An academic, representative test case is presented with associated analytical solution. The efficiency of the iterative methods is studied in terms of running time when 1–10 eigenpairs are sought for, the computational domain being discretized with 500–32 000‐node finite element meshes. The sensitivity of the methods to the dimension of the search subspace is also investigated. Copyright Β© 2007 John Wiley & Sons, Ltd.

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