Numerical Analysis of Reynolds Equation for Gas Lubrication in a High Λ Region -2nd Report: A High Precise Upstream Scheme-

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  • Numerical Analysis of Reynolds Equation for Gas Lubrication in a High Λ Region-2-A High Precise Upstream Scheme
  • Numerical Analysis of Reynolds Equation

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The purpose of this paper is to report that a weighted upstream ticheme for the gaslubricated Reynolds equation is stable and highly precise for a wide range of bearing number A. The following two methods for calculating the weight of the upstream are presented: (1) the exponential method-the weight is given by analytical integrations of a one-dimensional Reynolds equation, and (2) the stabilization method--the weight is given by the condition under which the one-dimensional discretized equation for node pressure is stable. The optimum weights for infinitely long-stepped slider bearing are investigated and are certified that the optimum weight for a one-dimensional case is the optimum weight for a two-dimensional case too. It has been clarified that the stabilization method is more precise and economical than the exponential method.

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