On the stability of the dual problem for high Reynolds number flow past a circular cylinder in two dimensions
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
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.
Circular cylinder, Dual equations, Euler equations, Goal-oriented error estimation, Navier-Stokes equations, Stability
Computer and Information Science
IdentifiersURN: urn:nbn:se:kth:diva-58688DOI: 10.1137/110836213ISI: 000310475700003ScopusID: 2-s2.0-84866352637OAI: oai:DiVA.org:kth-58688DiVA: diva2:473809
FunderEU, European Research CouncilSwedish Research CouncilSwedish e‐Science Research Center
QC 20121015. Updated from submitted to published.2012-01-072012-01-072013-04-22Bibliographically approved