Finite Elements for the Navier-Stokes Problem with Outflow Condition

Arndt, Daniel, Braack, Malte and Lube, Gert (2016) Finite Elements for the Navier-Stokes Problem with Outflow Condition Numerical Mathematics and Advanced Applications ENUMATH, 112 . pp. 95-103. DOI 10.1007/978-3-319-39929-4_10.

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Abstract

This work is devoted to the Directional Do-Nothing (DDN) condition as an outflow boundary condition for the incompressible Navier-Stokes equation. In contrast to the Classical Do-Nothing (CDN) condition, we have stability, existence of weak solutions and, in the case of small data, also uniqueness. We derive an a priori error estimate for this outflow condition for finite element discretizations with inf-sup stable pairs. Stabilization terms account for dominant convection and the divergence free constraint. Numerical examples demonstrate the stability of the method.

Document Type: Article
Research affiliation: Kiel University
OceanRep > The Future Ocean - Cluster of Excellence
OceanRep > The Future Ocean - Cluster of Excellence > FO-R11
Refereed: Yes
DOI etc.: 10.1007/978-3-319-39929-4_10
ISSN: 1439-7358
Projects: Future Ocean
Date Deposited: 08 Mar 2017 09:03
Last Modified: 19 Dec 2017 12:46
URI: http://eprints.uni-kiel.de/id/eprint/36837

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