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首页> 外文期刊>Journal of Zhejiang University. Science, A >An efficient adaptive finite element method algorithm with mass conservation for analysis of liquid face seals*
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An efficient adaptive finite element method algorithm with mass conservation for analysis of liquid face seals*

机译：一种高效的自适应有限元方法算法，用于分析液面密封件分析*

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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.
机译：为了改善润滑效果和密封性能，经常在液体润滑机械密封件的端面上加工复杂的几何流体动力槽或图案。这些结构可以导致精确估计密封性能的困难。在本研究中，提出了一种高效的自适应有限元方法（FEM）算法，其中施加了具有质量保护的大规模保护，其中施加了流线UPWind / Petrov-Galerkin（SupG）加权残留有限元和快速迭代算法来解决润滑方程（Reynolds方程）。利用网格自适应技术基于残余后误差估计器来优化计算域。通过在不同算法的不同算法中进行验证，适用性和效率验证了不同沟槽面孔的案例研究。该研究调查了形状函数顺序和网格数对泄漏平衡的影响。当空化发生时，网眼细化主要发生在空化区域中，否则在具有高压梯度的区域中发生。数值实验证实，所提出的算法是一种快速，有效，准确的方法，用于在端面密封件之外模拟工程领域的润滑问题。

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