Effects of differential scheme and mesh density on EHL film thickness in point contacts

Yuchuan Liu*, Q Jane Wang, Wenzhong Wang, Yuanzhong Hu, Dong Zhu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

127 Scopus citations


This paper investigates the effects of differential scheme and mesh density on elastohydrodynamic lubrication (EHL) film thickness based on a full numerical solution with a semi-system approach. The solution variation with different schemes and mesh sizes is revealed based on a set of numerical cases in a wide range of central film thickness from several hundred nanometers down to a few nanometers. It is observed that when the film is thick, the effects of differential schemes and mesh density are not significant. However, if the film becomes ultra-thin, e.g., below 10-20 nanometers, the influence of mesh density and differential schemes becomes more significant, and a proper dense mesh and differential scheme may be highly desirable. The present study also indicates that the solutions from the 1st-order backward scheme give the largest film thickness among all the solutions from different schemes at the same mesh size.

Original languageEnglish (US)
Pages (from-to)641-653
Number of pages13
JournalJournal of Tribology
Issue number3
StatePublished - Jul 1 2006


  • Elastohydrodynamic lubrication
  • Numerical methods
  • Thin-film EHL behavior

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Surfaces and Interfaces
  • Surfaces, Coatings and Films


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