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On Duality-Based A Posteriori Error Estimation in Various Norms and Linear Functionals for Large Eddy Simulation
Courant Institute, New York University.ORCID iD: 0000-0003-4256-0463
2004 (English)In: SIAM Journal on Scientific Computing, ISSN 1064-8275, E-ISSN 1095-7197, Vol. 26, no 1, 178-195 p.Article in journal (Refereed) Published
Abstract [en]

We derive a posteriori error estimates for the filtered velocity field in a large eddy simulation in various norms and linear functionals. The a posteriori error estimates take the form of an integral in space-time of a discretization residual and a modeling residual times a dual weight. The discretization residual is directly computable, and the modeling residual is estimated by a scale similarity model. We approximate the dual weight by solving an associated linearized dual problem numerically. Computational examples from transition to turbulence in Couette flow are presented.

Place, publisher, year, edition, pages
2004. Vol. 26, no 1, 178-195 p.
Keyword [en]
adaptive finite element methods, duality, a posteriori error estimates, turbulent viscous incompressible flow, large eddy simulation
National Category
Computational Mathematics
URN: urn:nbn:se:kth:diva-40882DOI: 10.1137/S1064827503417198ISI: 000225887700008OAI: diva2:442627
QC 20110930Available from: 2011-09-22 Created: 2011-09-22 Last updated: 2011-11-17Bibliographically approved

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Hoffman, Johan
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