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Weighted Error Estimators for the Incompressible Navier-Stokes Equations

Roland Becker 1
1 CAIMAN - Scientific computing, modeling and numerical analysis
CRISAM - Inria Sophia Antipolis - Méditerranée , ENPC - École des Ponts ParisTech, CNRS - Centre National de la Recherche Scientifique : UMR6621
Abstract : We present the application of weighted a posteriori error estimation to the incompressible Navier-Stokes equations. Using information from an appropriate dual problem, we control the discretization error of a functional of the solution as the drag or lift coefficient of an object immerged in a fluid. As test cases we consider a benchmark problem of a chanel flow and the flow around a cylinder in an unbounded domain.
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https://hal.inria.fr/inria-00073232
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Submitted on : Wednesday, May 24, 2006 - 12:17:08 PM
Last modification on : Friday, February 4, 2022 - 3:17:22 AM
Long-term archiving on: : Sunday, April 4, 2010 - 9:23:27 PM

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  • HAL Id : inria-00073232, version 1

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Roland Becker. Weighted Error Estimators for the Incompressible Navier-Stokes Equations. RR-3458, INRIA. 1998. ⟨inria-00073232⟩

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