非稳态点接触EHL问题高效直接算法研究

Research on High Efficient Direct Algorithm of Transient Point Contact EHL Problem

发展了一种研究非稳态点接触弹流润滑(Elastohydrodynamic Lubrication,简称EHL)的快速直接算法。在弹流求解过程中,通过分析计算域网格离散的特点,对离散后的Reynolds方程采取按列分块、逐列求解的求解策略,使每个时间步长上求解的方程维数显著减小,从而极大地提高了计算效率。运用新算法获得了点接触EHL纯挤压工况下油膜和压力演变过程中的典型特征,证明了新算法的正确性;数值实验和比较证明,新算法具有复合直接迭代法无可比拟的高效率,与逐行迭代法相比,新算法也具有显著的、更高的计算效率,并且随着网格数量的增加,新算法的高效性愈加凸显。

A new fast direct algorithm is developed to analyze the transient point contact EHL problem.In the process of solving EHL,by analyzing the characteristics of mesh discretization in the computational domain,and taking the solving strategy of di-viding the discrete Reynolds algebraic equation into blocks by column and solving the algebraic equation column by column,so that the dimension of the equation at each time step is significantly reduced,and the computational efficiency is greatly promoted.The typical characteristics of oil film and pressure evolution process under point contact EHL pure extrusion condition are ob-tained by using the new algorithm,which proves the correctness of the new algorithm.Numerical experiments and comparison show that the new algorithm has an unparalleled high efficiency of the composite direct iteration method,compared with the rowby-row iteration method,the new algorithm also has significantly higher computational efficiency,and with increasing of the number of grids,the efficiency of the new algorithm becomes more prominent.