小孔节流气体静压润滑的离散化和计算收敛

通过在雷诺方程式中增加一流量项，以避免求解雷诺方程时，为满足流量条件而求解压力梯度所带来的噪声和误差，并将不同坐标系内的雷诺方程式变换成为相同形式，以简化数值计算；对加权余量法和变分求极值法这2种将微分方程离散化的方法进行了分析；探讨了小气膜时出现发散的原因并提出了应对措施。

On the Discretization of Orifice Compensated Externally Pressurized Lubrication and Computational Convergency

A term has been suggested to add to conventional Reynolds equation so as to avoid the noise and errors from finding the pressure gradient to satisfy the mass flow rate condition. The different forms of Reynolds equations in different coordinate systems are deduced into one form. Two methods of equation discretization, namely the Weighted Residual Method and Optimization of Variation Fuctionals have been analyzed. The cause leading to divergence in numerical calculation of thin gas film has been explored and the countermeasure to get rid of the divergence been suggested. As the results, the method is applicable to analysis and calculation of the lubrication of various externally pressurized bearings.