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Influence of higher interpolation orders in mixed LSFEM for the incompressible Navier‐Stokes equations
Author(s) -
Serdas Serdar,
Schwarz Alexander,
Schröder Jörg,
Turek Stefan,
Ouazzi Abderrahim,
Nickaeen Masoud
Publication year - 2013
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201310146
Subject(s) - interpolation (computer graphics) , compressibility , focus (optics) , mathematics , navier–stokes equations , pressure correction method , field (mathematics) , mathematical analysis , physics , mechanics , classical mechanics , pure mathematics , motion (physics) , optics
The focus of this contribution is the examination of the influence of different interpolation orders (especially for the pressure field) by solving the stationary incompressible Navier‐Stokes equations with least‐squares finite elements. We consider two different div‐grad first‐order systems which result in a three‐field formulation with stresses, velocitites and pressure, see e.g. SCHWARZ & SCHRÖDER [1] and BOCHEV & GUNZBURGER [2]. Additionally, a numerical example is presented to show the performance of the considered formulations. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)