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Finite element method for viscoelastic fluids flows: approximation of the Maxwell model
Author(s) -
Sandri D.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200701071
Subject(s) - viscoelasticity , finite element method , maxwell's equations , stability (learning theory) , mixed finite element method , tensor (intrinsic definition) , maxwell stress tensor , flow (mathematics) , classical mechanics , physics , mechanics , mathematics , mathematical analysis , cauchy stress tensor , computer science , geometry , thermodynamics , machine learning
We discuss about the finite element approximation of viscoelastic fluid flow. We consider a fluid obeying the Oldroyd model and particularly we study the purely viscoelastic case, the so‐called Maxwell model, important in practice for the applications. We examine two kinds of methods used for the approximation of the Maxwell model: method using a splitting technique and finite element method satisfying inf‐sup conditions relating tensor and velocity. We present numerical results for these methods and we discuss about their stability. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)