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.

Full text not available from this repository.

Supplementary data:

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 > FO-R11
OceanRep > The Future Ocean - Cluster of Excellence
Kiel University
Refereed: Yes
Open Access Journal?: No
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: 16 May 2019 09:45
URI: http://oceanrep.geomar.de/id/eprint/36837

Actions (login required)

View Item View Item