Stabilization of the spectral-element method in turbulent flow simulations

Ohlsson J, Schlatter P, Fischer PF, Henningson DS (2011)

Publication Type: Conference contribution

Publication year: 2011

Journal

Lecture Notes in Computational Science and Engineering Springer Verlag

Book Volume: 76 LNCSE

Pages Range: 449-458

Conference Proceedings Title: Lecture Notes in Computational Science and Engineering

Event location: NOR

ISBN: 9783642153365

DOI: 10.1007/978-3-642-15337-2_43

Abstract

The effect of over-integration and filter-based stabilization in the spectral-element method is investigated. There is a need to stabilize the SEM for flow problems involving non-smooth solutions, e.g., turbulent flow simulations. In model problems such as the Burgers' equation (similar to Kirby and Karniadakis, J. Comput. Phys. 191:249-264, 2003) and the scalar transport equation together with full Navier-Stokes simulations it is noticed that over-integration with the full 3/2-rule is not required for stability. The first additional over-integration nodes are the most efficient to remove aliasing errors. Alternatively, filter-based stabilization can in many cases alone help to stabilize the computation. © 2011 Springer.

Authors with CRIS profile

Philipp Schlatter

Involved external institutions

Royal Institute of Technology / Kungliga Tekniska Högskolan (KTH) SE Sweden (SE) Argonne National Laboratory US United States (USA) (US)

How to cite

APA:

Ohlsson, J., Schlatter, P., Fischer, P.F., & Henningson, D.S. (2011). Stabilization of the spectral-element method in turbulent flow simulations. In Lecture Notes in Computational Science and Engineering (pp. 449-458). NOR.

MLA:

Ohlsson, J., et al. "Stabilization of the spectral-element method in turbulent flow simulations." Proceedings of the 8th International Conference on Spectral and High Order Methods, ICOSAHOM'09, NOR 2011. 449-458.

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