Performance aspects of a mixed s-v LSFEM for the incompressible Navier-Stokes equations with improved mass conservation |
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| Authors: | Alexander Schwarz Jörg Schröder Serdar Serdas Stefan Turek Abderrahim Ouazzi Masoud Nickaeen |
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| Institution: | 1. Institute of Mechanics, Faculty of Engineering, University of Duisburg-Essen, Universitätsstr. 15, 45117 Essen, Germany;2. Institute for Applied Mathematics, Faculty of Mathematics, TU Dortmund University, Vogelpothsweg 87, 44227 Dortmund, Germany |
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| Abstract: | In the present contribution we propose an improved mixed least-squares finite element method (LSFEM) and compare it with standard LSFEMs with respect to performance aspects. In detail, we consider an approach for Newtonian fluid flow, which is described by the incompressible Navier-Stokes equations. The basis for the associated symmetric minimization problem is a reduced stress-velocity (s-v) two-field approach, see e.g. CAI ET AL. 1] and SCHWARZ & SCHRÖDER 2]. The main idea for the proposed formulation is to add an additional equation, which yields an overconstrained first-order system. This approach does not introduce additional unknowns, so the advantage of two variables (stresses and velocities) remains. Finally, we present a numerical example in order to show the capability of the proposed formulation. (© 2013 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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