高Λ領域の気体潤滑レイノルズ方程式の数値計算

抄録

In this paper, a new scheme is presented for solving the Reynolds equation for gas lubrication at a high Λregion 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 at a high Λ region ; (2) High precision in the case of large meshes ; (3) Simple algebraical expression ; (4) The required quantity of computer memory and cpu time are less than those by other schemes ; (5) The waving of pressure distribution, which appears in the case of large elements by the finite element method doesn't appear.