On the numerical accuracy of rough surface EHL solution

Dong Zhu*, Yuchuan Liu, Qian Wang

*Corresponding author for this work

Research output: Contribution to specialist publicationArticle

1 Scopus citations


The accuracy in calculating the roughness derivatives is crucial for numerically solving EHL problems, especially if machined roughness with high-frequency components is involved. Improving the numerical accuracy of the rough surface EHL models is studied. In calculating roughness derivatives, Method D+I is highly preferred, because the numerical accuracy can be significantly improved if the surface grid much denser than the solution domain grid is used. The application of the combined forms for the wedge and squeeze terms in the Reynolds equation is not preferred for rough surface analyses. The second-order differential schemes are helpful for accuracy improvement. Large roughness wavelengths lead to smaller numerical errors, but roughness amplitude has no obvious effect on the numerical accuracy.

Original languageEnglish (US)
Number of pages16
Specialist publicationTribology and Lubrication Technology
StatePublished - Jan 1 2015


  • Accuracy analysis
  • Elastohydrodynamic lubrication (EHL)
  • Numerical error
  • Numerical solution
  • Roughness effect

ASJC Scopus subject areas

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

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