Abstract
A new method on the discretization of the steady gas-lubricated Reynolds equation is presented. The present method is derived from applying the boundary-fitted coordinates system to the divergence formulation (DF) method. Generalized algebraic equations for node pressures derived by the present method can be widely used to represent for arbitrary film configuration and arbitrary bearing shape. This algebraic equation is shown by separating into three components of the Poiseuille flow, the Couette flow and the correcting component of slip flow by a rarefaction of gas. The Couette flow component is discretized by a new upstream scheme derived by an extension of the simple upstream scheme, and other components are discretized by an approximation of linearized distribution. Discretization of four representative boundary conditions are shown. Examples on a herringbone journal bearing used in a misaligned large eccentricity and a small number of grooves are shown.
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