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An efficient numerical algorithm to solve hydrodynamic lubrication problems with cavitation
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DOI：10.1016/j.cma.2024.117470.png)
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摘要
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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.
Keyword:
Hydrodynamic lubrication
Method of Characteristics
Newton iterative algorithm
FEM
期刊
IF:
7.3
论文数:
1.3W
被引数:
5.6W
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引用论文
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Numerical solution to steady and transient problems in thermohydrodynamic lubrication using a combination of finite element, finite volume and boundary element methods结合使用有限元，有限体积和边界元方法对热流体动力学润滑中的稳态和瞬态问题进行数值求解
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