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Adaptive high-order finite element solution of transient elastohydrodynamic lubrication problems

Lu, H., Berzins, M., Goodyer, C., Jimack, P.K. and Walkley, M. (2006) Adaptive high-order finite element solution of transient elastohydrodynamic lubrication problems. Proceedings of the Institution of Mechanical Engineers. Part J: Journal of engineering tribology, 220 (3). pp. 215-225. ISSN 1350-6501

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Abstract

This article presents a new numerical method to solve transient line contact elastohydrodynamic lubrication (EHL) problems. A high-order discontinuous Galerkin (DG) finite element method is used for the spatial discretization, and the standard Crank-Nicolson method is employed to approximate the time derivative. An h-adaptivity method is used for grid adaptation with the time-stepping, and the penalty method is employed to handle the cavitation condition.

The roughness model employed here is a simple indentation, which is located on the upper surface. Numerical results are presented comparing the DG method to standard finite difference (FD) techniques. It is shown that micro-EHL features are captured with far fewer degrees of freedom than when using low-order FD methods.

Item Type: Article
Copyright, Publisher and Additional Information: © IMechE 2006. This is an author produced version of a paper published in 'Proceedings of the Institution of Mechanical Engineers. Part J: Journal of engineering tribology'
Institution: The University of Leeds
Academic Units: The University of Leeds > Faculty of Engineering (Leeds) > School of Computing (Leeds)
Depositing User: Repository Assistant
Date Deposited: 13 Dec 2006
Last Modified: 06 Jun 2014 01:43
Published Version: http://dx.doi.org/10.1243/13506501JET134
Status: Published
Publisher: Professional Engineering Publishing
Refereed: Yes
Identification Number: 10.1243/13506501JET134
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/1786

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