质量守恒润滑模型的快速数值计算方法  

A Fast Converging Numerical Calculation Approach of Mass-conserving Lubrication Model

作　　者：顾春兴 戴黎 GU Chunxing;DAI li(School of Mechanical Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China)

机构地区：[1]上海理工大学机械工程学院,上海200093

出　　处：《润滑与密封》2022年第1期147-152,共6页Lubrication Engineering

基　　金：上海市青年科技英才扬帆计划(19YF1434500);上海市科学技术委员会重点项目(18060502400)。

摘　　要：为了准确地预测流体动压润滑的油膜压力分布,流体润滑模型的数值计算需要采用质量守恒的空穴边界条件,然而,采用质量守恒的空穴边界条件将会导致求解流体润滑模型的计算时间显著增加。为高效精确地求解流体动压润滑问题,结合Fischer-Burmsister-Newton-Schur(FBNS)方法和网格细化(Grid refinement)策略,提出一种快速收敛的计算流体压力分布的数值仿真方法。该方法采用FBNS方法,将流体润滑模型的离散方程组转化为无约束方程组,以便使用牛顿迭代法求解;然后采用网格细化策略,将润滑模型在粗网格上的计算结果作为细网格上的初始值,从而加快油膜压力计算的收敛速度。采用所提出的快速收敛的数值方法对不同算例进行计算,结果表明,相比传统方法,该方法能够使含油机械系统润滑问题的数值计算变得更精确和更高效。It is reported that a mass-conserving implementation of cavitation for hydrodynamic lubrication model is crucial to avoid errors.However,a significant increase in computational burden would be induced by the mass-conserving treatment of cavitation.In order to solve the hydrodynamic pressure efficiently and accurately,a fast converging numerical approach for calculating the hydrodynamic pressure distribution was proposed by combining Fischer burmsister Newton Schur(FBNS)method and grid refinement(GR)strategy.In this method,FBNS approach is employed to transform the discrete equations of fluid lubrication model into unconstrained equations,so that the equations can be solved using Newton iteration method,the grid refinement strategy is used to take the calculation results of the lubrication model on the coarse grid as the initial value on the fine grid,so as to speed up the convergence speed of the oil film pressure calculation.The converging numerical approach proposed was used to calculate different examples.The results show that compared with the traditional method,with the fast converging numerical approach proposed,the transient problem of the mechanical systems lubricated oil becomes computationally feasible.

关 键 词：流体动压润滑 质量守恒边界 网格细化 油膜压力 表面织构 

分 类 号：TH117[机械工程—机械设计及理论]