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
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.
|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|
|Publisher:||Professional Engineering Publishing|