高Λ領域の気体潤滑レイノルズ方程式の数値計算 : 第2報,上流化スキームの高精度化

概要

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The purpose of this paper is to report that a weighted upstream scheme for the gas-lubricated Reynolds equation which is stable and highly precise for a wide range of bearing number Λ. The following two methods of calculating the weight of the upstream have been presented. (1) The exponential method: The weight is given by analytical integrations of a one-dimensional Reynolds equation. (2) The stabilization method : The weight is given by the condition under which the one-dimensional discretized equation for node pressures is stable. The investigation results for infinitely long--stepped slider bearing and optimum weights are decided. These optimum weights have been certified to show that the optimum weight for a one-dimensional is the optimum weight for a two-dimensional. It has been clarified that the stabilization method is more precise and more economical than the exponential method.
1988-08-25