Solving EHL Problems Using Iterative, Multigrid, and Homotopy Methods

[+] Author and Article Information
Elyas Nurgat, Martin Berzins

School of Computer Studies, University of Leeds, Leeds, LS2 9JT, United Kingdom

Laurence Scales

Shell Research and Technology Centre at Thornton, Chester, CHI 3SH, United Kingdom

J. Tribol 121(1), 28-33 (Jan 01, 1999) (6 pages) doi:10.1115/1.2833805 History: Received February 03, 1997; Revised April 20, 1998; Online January 24, 2008


The numerical solution of ElastoHydrodynamic Lubrication (EHL) point contact problems requires the solution of highly nonlinear systems of equations which pose a formidable computational challenge. Multigrid methods provide one efficient approach. EHL problems solved using a single grid and multigrid will be compared and contrasted with a homotopy method which works on the concept of deforming one problem into another by the continuous variation of a single parameter. Both the multigrid and the single grid method employ a new relaxation scheme. Numerical results on demanding test problems will be used to compare these methods and suggestions for future developments to produce robust solvers will be made.

Copyright © 1999 by The American Society of Mechanical Engineers
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