Higher order isoparametric finite element solution of Stokes flow
No Thumbnail Available
Date
2005
Authors
Eid, Rajeh
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science inc
Open Access Color
OpenAIRE Downloads
OpenAIRE Views
Abstract
A finite element method of the penalization type, using higher order shape functions with rectangular elements, is presented for the solution of the Stokes flow. The fluid is viscous and the flow is slow, steady and incompressible. The solution has been obtained in terms of velocity field while the pressure terms are eliminated using the penalty function approach. The degree of the finite element approximation can be increased as much as one needs with this higher order shape function formulation. The method is tested in a lid-driven square cavity and it is found that there is a relationship between the viscosity and penalty parameter. From one solution one can obtain all the other solutions only by arranging one of the parameters since the product of these parameters has been shown that is a fixed constant. Selected graphs of the velocity field are given showing these behaviors. (C) 2004 Elsevier Inc. All rights reserved.
Description
Keywords
higher order isoparametric, finite element method, Stokes flow
Turkish CoHE Thesis Center URL
Fields of Science
Citation
5
WoS Q
Q1
Scopus Q
Source
Volume
162
Issue
3
Start Page
1083
End Page
1101