A novel approach for the solution of the viscous incompresible and/or compressible BiGlobal eigenvalue problems (EVP) in complex open cavity domains is discussed. The algorithm is based on spectral multidomain spatial discretization, decomposing space into rectangular subdomains which are resolved by spectral collocation based on Chebyshev polynomials. The eigenvalue problem is solved by Krylov subspace iteration. Here particular emphasis is placed on aspects of the parallel developments that have been necessary, on account of the high computing demands placed on the solver, as ever more complex “T-store” configurations are addressed.
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References
V. Theofilis: Advances in global linear instability analysis of nonparallel and three-dimensional flows. Prog. Aero. Sci., Vol. 39, 249–315 (2003).
Xiaoye S. Li and James W. Demmel: SuperLU-DIST: A Scalable Distributed-Memory Sparse Direct Solver for Unsymmetric Linear System. ACM Trans. Mathematical Software, 29, 110–140 (2003).
J. de Vicente, E. Valero, L. Gonzalez and V. Theofilis: Spectral multidomain methods for BiGlobal instability analysis of complex flows over open cavity configurations. No. AIAA Paper 2006–2877 (2006).
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Vicente, J.d., Valero, E., Theofilis, V. (2008). Numerical Considerations in Spectral Multidomain Methods for BiGlobal Instability Analysis of Open Cavity Configurations. In: Bonilla, L.L., Moscoso, M., Platero, G., Vega, J.M. (eds) Progress in Industrial Mathematics at ECMI 2006. Mathematics in Industry, vol 12. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71992-2_17
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DOI: https://doi.org/10.1007/978-3-540-71992-2_17
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