Stability tools for the spectral-element code Nek5000: Application to Jet-in-Crossflow
Peplinski A, Schlatter P, Fischer PF, Henningson DS (2014)
Publication Type: Conference contribution
Publication year: 2014
Journal
Publisher: Springer Verlag
Book Volume: 95
Pages Range: 349-359
Conference Proceedings Title: Lecture Notes in Computational Science and Engineering
Event location: Gammarth, TUN
ISBN: 9783319016009
DOI: 10.1007/978-3-319-01601-6__28
Abstract
We demonstrate the use of advanced linear stability tools developed for the spectral-element code Nek5000 to investigate the dynamics of nonlinear flows in moderately complex geometries. The aim of stability calculations is to identify the driving mechanism as well as the region most sensitive to the instability: the wavemaker.We concentrate on global linear stability analysis, which considers the linearised Navier–Stokes equations and searches for growing small disturbances, i.e. so-called linear global modes. In the structural sensitivity analysis these modes are associated to the eigenmodes of the direct and adjoint linearised Navier–Stokes operators, and the wavemaker is defined as the overlap of the strongest direct and adjoint eigenmodes. The large eigenvalue problems are solved usingmatrix-freemethods adopting the time-stepping Arnoldi approach.We present here our implementation in Nek5000 with the ARPACK library on a number of test cases.
Authors with CRIS profile
Involved external institutions
Swedish e-Science Research Centre (SeRC)
Sweden (SE)
Argonne National Laboratory
United States (USA) (US)
Royal Institute of Technology / Kungliga Tekniska Högskolan (KTH)
Sweden (SE)
Sweden (SE)
Argonne National Laboratory
United States (USA) (US)
Royal Institute of Technology / Kungliga Tekniska Högskolan (KTH)
Sweden (SE)
How to cite
APA:
Peplinski, A., Schlatter, P., Fischer, P.F., & Henningson, D.S. (2014). Stability tools for the spectral-element code Nek5000: Application to Jet-in-Crossflow. In Mejdi Azaïez, Jan S. Hesthaven, Henda El Fekih (Eds.), Lecture Notes in Computational Science and Engineering (pp. 349-359). Gammarth, TUN: Springer Verlag.
MLA:
Peplinski, A., et al. "Stability tools for the spectral-element code Nek5000: Application to Jet-in-Crossflow." Proceedings of the 9th International Conference on Spectral and High Order Methods, ICOSAHOM 2012, Gammarth, TUN Ed. Mejdi Azaïez, Jan S. Hesthaven, Henda El Fekih, Springer Verlag, 2014. 349-359.
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