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

By H. Lu, M. Berzins, C. Goodyer, P.K. Jimack and M. Walkley

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.\ud \ud 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

Publisher: Professional Engineering Publishing
Year: 2006
OAI identifier: oai:eprints.whiterose.ac.uk:1786

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