An efficient adaptive finite element method algorithm with mass conservation for analysis of liquid face seals  

作　　者：Xiayg-kai MENG Shao-xian BAI Xu-dong PENG 

机构地区：[1]Institute of Chemical Process Machinery, Zhejiang University of Technology, Hangzhou 310032, China

出　　处：《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》2014年第3期172-184,共13页浙江大学学报（英文版）A辑（应用物理与工程）

基　　金：Project supported by the National Natural Science Foundation of China （Nos. 51005209 and 51375449）

摘　　要：To improve lubrication effect and seal performance, complicated geometrical hydrodynamic grooves or patterns are often processed on end faces of liquid lubricated mechanical seals. These structures can lead to difficulties in precisely estimating the seal performance. In this study, an efficient adaptive finite element method （FEM） algorithm with mass conservation was presented, in which a streamline upwind/Petrov-Galerkin （SUPG） weighted residual FEM and a fast iteration algorithm were applied to solve the lubrication equations （Reynolds equation）. A mesh adaptation technique was utilized to refine the computation domain based on a residual posterior error estimator. Validation, applicability, and efficiency were verified by comparison among different algorithms and by case studies on seals＇ faces with different groove structures. The study investigated the influence of the order of shape function and the mesh number on the leakage balance. Mesh refinement occurred mainly in cavitation zones when cavitation happened, otherwise it occurred in regions with a high pressure gradient. Numerical experiments verified that the proposed algorithm is a fast, effective, and accurate method to simulate lubrication problems in the engineering field apart from end face seals.研究目的:为液体润滑端面密封空化问题的数值模拟提供一种高效精确的计算方法。创新要点:1.采用流线迎风SUPG有限元法求解具有对流扩散特征的控制方程;2.针对未知量的互补关系提出了一种高效的数值迭代技术;3.提供了针对润滑液膜空化问题的网格自适应技术。重要结论:1.相比文献算法,本文算法具有计算速度快,计算精度高的优点;2.空化区域和大压力梯度区域的计算网格得到加密。

关 键 词：CAVITATION Finite element method （FEM） End face seals Streamline upwind/Petrov-Galerkin （SUPG） Massconservation 

分 类 号：TH117.2[机械工程—机械设计及理论]