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Title: An economical finite element approximation of generalized Newtonian flows
Authors: Bao, W. 
Keywords: Carreau law
Economical finite element
Error bound
Generalized Newtonian flow
Issue Date: 21-Jun-2002
Citation: Bao, W. (2002-06-21). An economical finite element approximation of generalized Newtonian flows. Computer Methods in Applied Mechanics and Engineering 191 (33) : 3637-3648. ScholarBank@NUS Repository.
Abstract: We consider an economical bilinear rectangular mixed finite element scheme on regular mesh for generalized Newtonian flows, where the viscosity obeys a Carreau type law for a pseudo-plastic. The key issue in the scheme is that the two components of the velocity and the pressure are defined on different meshes. Optimal error bounds for both the velocity and pressure are obtained by proving a discrete Babuška-Brezzi inf-sup condition on the regular quadrangulation. Finally, we perform some numerical experiments, including an example in a unit square with exact solutions, a backward-facing step and a four-to-one abrupt contraction generalized Newtonian flows. Numerical experiments confirm our error bounds. © 2002 Published by Elsevier Science B.V.
Source Title: Computer Methods in Applied Mechanics and Engineering
ISSN: 00457825
DOI: 10.1016/S0045-7825(02)00310-9
Appears in Collections:Staff Publications

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