解决带有气蚀的流体动力润滑问题的高效数值算法

IF 6.9 1区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY
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引用次数: 0

摘要

本文提出了一种高效的数值算法,可在有限元框架内使用特征法解决轴承中带有气蚀的流体动力润滑静态问题。该问题基于润滑油流体行为的 Elrod-Adams 数学模型。为了获得逼真的压力解决方案,必须考虑气蚀问题。这将导致一个包含多值算子的非线性方程组。为了解决这个问题,我们提出了一种改进的牛顿算法,与文献中解决相同问题的其他数值算法相比,该算法收敛速度快,允许使用较小的公差,以较低的迭代次数高精度、高效率地解决问题。工作中展示并分析了数值结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
An efficient numerical algorithm to solve hydrodynamic lubrication problems with cavitation
In this paper we present an efficient numerical algorithm to solve stationary problems of hydrodynamic lubrication with cavitation in bearings using the method of characteristics in a finite element framework. The problem is based on the Elrod–Adams mathematical model for the lubricant fluid behavior. To achieve realistic pressure solutions, cavitation must be considered. This leads to a non-linear system of equations including a multivalued operator. In order to solve this problem, we propose a modified Newton algorithm that presents a high convergence speed, allowing one to use small tolerances to solve the problem with high accuracy and efficiency using a low number of iterations, in comparison with alternative numerical algorithms in the literature to solve the same problem. Numerical results are presented and analyzed in the work.
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来源期刊
CiteScore
12.70
自引率
15.30%
发文量
719
审稿时长
44 days
期刊介绍: Computer Methods in Applied Mechanics and Engineering stands as a cornerstone in the realm of computational science and engineering. With a history spanning over five decades, the journal has been a key platform for disseminating papers on advanced mathematical modeling and numerical solutions. Interdisciplinary in nature, these contributions encompass mechanics, mathematics, computer science, and various scientific disciplines. The journal welcomes a broad range of computational methods addressing the simulation, analysis, and design of complex physical problems, making it a vital resource for researchers in the field.
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