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Stability analysis of goal-oriented adaptivity for 2D incompressible flow problems
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology.
2019 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

In this thesis, we present a computational study of the stability of time-dependent dual problem for incompressible flow with low viscosity in 2D. The dual problem measures the sensitivity of an output functional with respect to numerical errors and is a key part of goal-oriented a posteriori error estimation. Our investigation shows that the dual problem associated with the computation of the drag force for the incompressible Navier-Stokes equations, which is approximated numerically using finite element discretization and residual based artificial viscosity stabilization technique, is unstable and exhibits blowup.

Place, publisher, year, edition, pages
2019. , p. 30
Series
IT ; 19081
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:uu:diva-398226OAI: oai:DiVA.org:uu-398226DiVA, id: diva2:1375037
Educational program
Master Programme in Computational Science
Supervisors
Examiners
Available from: 2019-12-03 Created: 2019-12-03 Last updated: 2019-12-03Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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Output format
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