1. A domain decomposition matrix-free method for global linear stability
- Author
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Alizard, Frédéric, Robinet, Jean-Christophe, and Gloerfelt, Xavier
- Subjects
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MATHEMATICAL decomposition , *GLOBAL analysis (Mathematics) , *STABILITY of linear systems , *FINITE differences , *COMPUTATIONAL fluid dynamics , *PERTURBATION theory - Abstract
Abstract: This work is dedicated to the presentation of a matrix-free method for global linear stability analysis in geometries composed of multi-connected rectangular subdomains. An Arnoldi technique using snapshots in subdomains of the entire geometry combined with a multidomain linearized Direct Numerical Finite difference simulations based on an influence matrix for partitioning are adopted. The method is illustrated by three benchmark problems: the lid-driven cavity, the square cylinder and the open cavity flow. The efficiency of the method to extract large-scale structures in a multidomain framework is emphasized. The possibility to use subset of the full domain to recover the perturbation associated with the entire flow field is also highlighted. Such a method appears thus a promising tool to deal with large computational domains and three-dimensionality within a parallel architecture. [Copyright &y& Elsevier] more...
- Published
- 2012
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