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On the simulation of a time-dependent cavity flow of an Oldroyd-B fluid

✍ Scribed by Tsorng-Whay Pan; Jian Hao; Roland Glowinski

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
346 KB
Volume
60
Category
Article
ISSN
0271-2091

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✦ Synopsis

Abstract

In this article we present a finite element method for simulating the time‐dependent flow of an Oldroyd‐B fluid in a lid‐driven cavity, which is a stringent test problem at high Weissenberg number. The key considerations for developing the methodology are the preservation of the positive definiteness of the conformation tensor via the log‐conformation representation and additional diffusion, from second‐order upwind scheme, to smooth the high‐frequency modes. The combination of the log‐conformation representation, finite element method, and an operator‐splitting Lie's scheme, gives us a robust and easy‐to‐implement scheme. We have obtained convergent results when simulating time‐dependent cavity flows. Copyright © 2008 John Wiley & Sons, Ltd.

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