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Adaptive modeling of turbulent flow with residual based turbulent kinetic energy dissipation
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.ORCID iD: 0000-0003-4256-0463
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.ORCID iD: 0000-0002-1695-8809
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.
2011 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 200, no 37-40, 2758-2767 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we first review our recent work on a new framework for adaptive turbulence simulation: we model turbulence by weak solutions to the Navier-Stokes equations that are wellposed with respect to mean value output in the form of functionals, and we use an adaptive finite element method to compute approximations with a posteriori error control based on the error in the functional output. We then derive a local energy estimate for a particular finite element method, which we connect to related work on dissipative weak Euler solutions with kinetic energy dissipation due to lack of local smoothness of the weak solutions. The ideas are illustrated by numerical results, where we observe a law of finite dissipation with respect to a decreasing mesh size.

Place, publisher, year, edition, pages
2011. Vol. 200, no 37-40, 2758-2767 p.
Keyword [en]
Adaptive turbulence modeling, Stabilized finite element method, A posteriori error estimation, Dissipative weak solution
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-37139DOI: 10.1016/j.cma.2010.11.016ISI: 000292663800010Scopus ID: 2-s2.0-79958751346OAI: oai:DiVA.org:kth-37139DiVA: diva2:432341
Funder
Swedish e‐Science Research Center
Available from: 2011-08-02 Created: 2011-08-02 Last updated: 2017-12-08Bibliographically approved

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Hoffman, Johan

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  • apa
  • harvard1
  • ieee
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  • vancouver
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  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
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  • Other locale
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Output format
  • html
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  • asciidoc
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