Ahmed, S, Goodyer, CE and Jimack, PK (2014) An adaptive finite element procedure for fully-coupled point contact elastohydrodynamic lubrication problems. Computer Methods in Applied Mechanics and Engineering, 282. 1 - 21. ISSN 0045-7825
Abstract
This paper presents an automatic locally adaptive finite element solver for the fully-coupled EHL point contact problems. The proposed algorithm uses a posteriori error estimation in the stress in order to control adaptivity in both the elasticity and lubrication domains. The implementation is based on the fact that the solution of the linear elasticity equation exhibits large variations close to the fluid domain on which the Reynolds equation is solved. Thus the local refinement in such region not only improves the accuracy of the elastic deformation solution significantly but also yield an improved accuracy in the pressure profile due to increase in the spatial resolution of fluid domain. Thus, the improved traction boundary conditions lead to even better approximation of the elastic deformation. Hence, a simple and an effective way to develop an adaptive procedure for the fully-coupled EHL problem is to apply the local refinement to the linear elasticity mesh. The proposed algorithm also seeks to improve the quality of refined meshes to ensure the best overall accuracy. It is shown that the adaptive procedure effectively refines the elements in the region(s) showing the largest local error in their solution, and reduces the overall error with optimal computational cost for a variety of EHL cases. Specifically, the computational cost of proposed adaptive algorithm is shown to be linear with respect to problem size as the number of refinement levels grows.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | (c) 2014, Elsevier. NOTICE: this is the author’s version of a work that was accepted for publication in Computer Methods in Applied Mechanics and Engineering. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computer Methods in Applied Mechanics and Engineering, 282, (2014) DOI 10.1016/j.cma.2014.08.026 |
Keywords: | Elastohydrodynamic lubrication; Finite element method; Linear elasticity; Fully coupled approach; Adaptive h-refinement; Optimization of meshes |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Computing (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 21 Nov 2014 09:19 |
Last Modified: | 15 Jan 2018 23:57 |
Published Version: | http://dx.doi.org/10.1016/j.cma.2014.08.026 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.cma.2014.08.026 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:81231 |