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Title: Numerical approximation of viscoelastic Oldroyd-B flows in curved pipes
Authors: Arada, Nadir
Pires, Marília
Sequeira, Adélia
Editors: Giga, Y.
Kozono, H.
Okamoto, H.
Shibata, Y.
Keywords: curved pipe
finite elements
Oldroyd-B model
Stokes-like system
transport equation
Issue Date: 2007
Publisher: RIMS Kôkyûroku Bessatsu Kyoto
Abstract: The aim of this paper is to study a finite element numerical approximation of steady flows of an incompressible viscoelastic Oldroyd-B fluid in curved pipes of arbitrary cross-section and curvature ratio. Using rectangular toroidal coordinates, existence and uniqueness of approximated solutions are proved as well as a priori error estimates, under a natural restriction on the pipe curvature ratio.
Type: article
Appears in Collections:CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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