A Study on the Numerical Analysis of Fluid Film Lubrication by the Boundary-fitted Coordinates System : 1st Report, Fundamental Equations of DF Method and the Case of Incompressible Lubrication

Abstract

A new method of the direct numerical calculation for the fluid film lubrication problem is presented in this paper. The present method is derived by applying the boundary fitted coordinates system to the divergence formulation (DF) method. It is made possible by the present method to deal with an arbitrary configuration of lubricated surface, so a disadvantage of DF method compared with the finite element method was solved. The present method has the following advantages : (1) An arbitrary configuration of lubricated surface can be calculated. (2) A programing is easy. (3) A scale of program and cpu time are small, so the calculation by a personal computer is possible.