An equal-order finite element framework for incompressible non-newtonian flow problems

Douglas R.Q. Pacheco*, Olaf Steinbach

*Korrespondierende/r Autor/-in für diese Arbeit

Publikation: Beitrag in Buch/Bericht/KonferenzbandBeitrag in einem KonferenzbandBegutachtung

Abstract

Various materials of engineering and biomedical interest can be modelled as generalised Newtonian fluids, i.e., via an apparent viscosity depending locally on the flow field. In spite of the particular features of those models, they are often handled in practice by classical numerical techniques originally conceived for Newtonian fluids. Methods designed specifically for the generalised case are rather scarce in the literature, as well as their use in practical applications. As it turns out, tackling nonNewtonian problems with standard finite element formulations can have undesired consequences such as the induction of spurious pressure boundary layers and the emergence of natural boundary conditions not suitable for realistic flow scenarios. In this context, we introduce a novel framework that deals with those issues while maintaining simplicity and low computational cost. The new stabilised formulation is based on a modified system combining the continuity equation with a Poisson equation for the pressure and consistent pressure boundary conditions. A weak enforcement of the rheological law is employed to enable full consistency even for first-order finite element pairs. Simple numerical examples are provided to demonstrate the potential of our method in yielding accurate solutions for relevant problems.

Originalspracheenglisch
TitelWCCM-ECCOMAS 2020
Herausgeber (Verlag)Scipedia S.L.
Seitenumfang12
DOIs
PublikationsstatusVeröffentlicht - 2021
Veranstaltung14th World Congress of Computational Mechanics and ECCOMAS Congress: WCCM-ECCOMAS 2020 - Virtuell, Österreich
Dauer: 11 Jan. 202115 Jan. 2021

Konferenz

Konferenz14th World Congress of Computational Mechanics and ECCOMAS Congress
KurztitelWCCM-ECCOMAS 2020
Land/GebietÖsterreich
OrtVirtuell
Zeitraum11/01/2115/01/21

ASJC Scopus subject areas

  • Maschinenbau

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