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On the stability of the dual problem for high Reynolds number flow past a circular cylinder in two dimensions
Texas A and M University, United States.
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA (closed 2012-06-30).ORCID iD: 0000-0003-4256-0463
2012 (English)In: SIAM Journal on Scientific Computing, ISSN 1064-8275, E-ISSN 1095-7197, Vol. 34, no 4, A1905-A1924 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we present a computational study of the stability of time dependent dual problems for compressible flow at high Reynolds numbers in two dimensions. 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 compressible Euler/Navier-Stokes equations, which are approximated numerically using different temporal discretization and stabilization techniques, is unstable and exhibits blow-up for several Mach regimes considered in this paper.

Place, publisher, year, edition, pages
2012. Vol. 34, no 4, A1905-A1924 p.
Keyword [en]
Circular cylinder, Dual equations, Euler equations, Goal-oriented error estimation, Navier-Stokes equations, Stability
National Category
Computer and Information Science
URN: urn:nbn:se:kth:diva-58688DOI: 10.1137/110836213ISI: 000310475700003ScopusID: 2-s2.0-84866352637OAI: diva2:473809
EU, European Research CouncilSwedish Research CouncilSwedish eā€Science Research Center

QC 20121015. Updated from submitted to published.

Available from: 2012-01-07 Created: 2012-01-07 Last updated: 2013-04-22Bibliographically approved

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Nazarov, MurtazoHoffman, Johan
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Numerical Analysis, NA (closed 2012-06-30)
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