The pressure in a thin film of gas undergoing laminar, isothermal flow is given by the so-called Reynolds equation, a nonlinear, second-order, partial differential equation of parabolic type. The Reynolds equation plays a central role in the theory of gas-film lubrication. This paper is devoted to a study of numerical procedures based upon finite differences for obtaining approximate solutions. A number of explicit, semi-explicit, and implicit difference schemes are examined from the point of view of truncation error, stability, and computational efficiency.

This content is only available via PDF.
You do not currently have access to this content.