Least-squares finite element methods for the Navier-Stokes equations for generalized Newtonian fluids |
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| Authors: | Serdar Serdas Alexander Schwarz Jörg Schröder 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 this contribution we present the least-squares finite element method (LSFEM) for the incompressible Navier-Stokes equations. In detail, we consider a non-Newtonian fluid flow, which is described by a power-law model, see 1]. The second-order problem is reformulated by introducing a first-order div-grad system consisting of the equilibrium condition, the incompressibility condition and the constitutive equation, which are written in residual forms, see 2]. Here, higher-order finite elements which are an important aspect regarding accuracy for the present formulation are investigated. (© 2014 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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