Stabilization of the spectral-element method in turbulent flow simulations

J. Ohlsson, P. Schlatter, Paul Fischer, D. S. Henningson

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish (US)
Title of host publicationSpectral and High Order Methods for Partial Differential Equations - Selected Papers from the ICOSAHOM'09 Conference
Pages449-458
Number of pages10
DOIs
StatePublished - Jan 1 2011
Externally publishedYes
Event8th International Conference on Spectral and High Order Methods, ICOSAHOM'09 - Trondheim, Norway
Duration: Jun 22 2009Jun 26 2009

Publication series

NameLecture Notes in Computational Science and Engineering
Volume76 LNCSE
ISSN (Print)1439-7358

Other

Other8th International Conference on Spectral and High Order Methods, ICOSAHOM'09
Country/TerritoryNorway
CityTrondheim
Period6/22/096/26/09

ASJC Scopus subject areas

  • Modeling and Simulation
  • Engineering(all)
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics

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