A relaxation method for large eigenvalue problems, with an application to flow stability analysis

DOI10.1016/j.jcp.2012.01.038zbMath1379.76016OpenAlexW1987752467WikidataQ108874529 ScholiaQ108874529MaRDI QIDQ419691

X. Garnaud, L. Lesshafft, Chomaz, Jean-Marc, Peter J. Schmid

Publication date: 18 May 2012

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2012.01.038

zbMATH Keywords

filteringKrylov methodcompressible jetspectral transformation

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Spectral methods applied to problems in fluid mechanics (76M22) Hydrodynamic stability (76E99)

Related Items (6)

Computation of frequency responses for linear time-invariant PDEs on a compact interval ⋮ Transition and turbulence in horizontal convection: linear stability analysis ⋮ Stability analysis and improvement of the solution reconstruction for cell-centered finite volume methods on unstructured meshes ⋮ The verification of multiplicity support of a defective eigenvalue of a real matrix ⋮ Effectivity and efficiency of selective frequency damping for the computation of unstable steady-state solutions ⋮ Flow control design inspired by linear stability analysis

Uses Software

• SLEPc
• UMFPACK
• PETSc
• MUMPS
• ARPACK

Cites Work

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• Global stability of swept flow around a parabolic body: connecting attachment-line and crossflow modes
• M<scp>ODELING</scp> A<scp>RTIFICIAL</scp> B<scp>OUNDARY</scp> C<scp>ONDITIONS FOR</scp> C<scp>OMPRESSIBLE</scp> F<scp>LOW</scp>

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