An efficient numerical algorithm to solve hydrodynamic lubrication problems with cavitation

IF 6.9 1区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY
{"title":"An efficient numerical algorithm to solve hydrodynamic lubrication problems with cavitation","authors":"","doi":"10.1016/j.cma.2024.117470","DOIUrl":null,"url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":55222,"journal":{"name":"Computer Methods in Applied Mechanics and Engineering","volume":null,"pages":null},"PeriodicalIF":6.9000,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computer Methods in Applied Mechanics and Engineering","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0045782524007254","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0

Abstract

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.
解决带有气蚀的流体动力润滑问题的高效数值算法
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。
求助全文
约1分钟内获得全文 求助全文
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.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信