Stabilization of the Spectral-Element Method in Turbulent Flow Simulations
2011 (English)In: Spectral and High Order Methods for Partial Differential Equations: Selected papers from the ICOSAHOM '09 conference, June 22-26, Trondheim, Norway, Springer , 2011, 1, 449-458 p.Conference paper (Refereed)
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.
Place, publisher, year, edition, pages
Springer , 2011, 1. 449-458 p.
, Lecture Notes in Computational Science and Engineering, ISSN 1439-7358 ; 76
Aliasing error, Burgers' equations, Filter-based, Flow problems, Model problems, Navier Stokes simulation, Non-smooth, Scalar transport equation, SEM, Spectral element method
Engineering and Technology
IdentifiersURN: urn:nbn:se:kth:diva-25931DOI: 10.1007/978-3-642-15337-2_43ScopusID: 2-s2.0-78651526122ISBN: 978-3-642-15336-5OAI: oai:DiVA.org:kth-25931DiVA: diva2:360905
8th International Conference on Spectral and High Order Methods, ICOSAHOM'09; Trondheim; Norway; 22 June 2009 through 26 June 2009
QC 201011052010-11-052010-11-052013-11-06Bibliographically approved