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
Keywords:	Weak Solution Outflow Boundary Projection Error Outflow Condition Piecewise Constant Approximation
Research affiliation:	OceanRep > The Future Ocean - Cluster of Excellence OceanRep > The Future Ocean - Cluster of Excellence > FO-R11 Kiel University
Refereed:	Yes
Open Access Journal?:	No
Publisher:	American Medical Association
Projects:	Future Ocean
Date Deposited:	08 Mar 2017 09:03
Last Modified:	23 Sep 2019 17:08
URI:	https://oceanrep.geomar.de/id/eprint/36837

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