Numerical Analysis of Reynolds Equation for Gas Lubrication in a High Λ Region : Vibration, Control Engineering, Engineering for Industry

抄録

In this paper, a new scheme is presented for solving the Reynolds equation for gas lubrication in a high Λ region by the direct numerical solution method. This scheme derives from the concept that Poiseuille flow has an elliptical property and Couette flow has a parabolic one. This scheme has the following advantages : (1) High stability in a high Λ region ; (2) High precision in the case of coarse meshes ; (3) Simple algebraical expression ; (4) The required quantity of computer memory and cpu time is less than that required by other schemes ; (5) There is no waving of pressure results, which is often seen in conventional finite element methods.