Study and Optimization of a Numerical Algorithm for Hydrodynamic Lubrication Problems with Cavitation-Reference-Cited by-同舟云学术

Study and Optimization of a Numerical Algorithm for Hydrodynamic Lubrication Problems with Cavitation

Published:2023 Issue: Volume: Page:10-16
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Container-title:Proceedings of the XV Ibero-American Congress of Mechanical Engineering
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Author:

Gómez Molina Pedro,Carpio Huertas Jaime,Sanz Lorenzo Luis

Abstract

AbstractWe present a study of a method to solve numerically stationary problems of hydrodynamic lubrication with cavitation in bearings using the finite element method and the method of characteristics. The problem is based on the Elrod-Adams mathematic model for the lubricant fluid behavior. To achieve realistic pressure solutions, cavitation must be considered. However, this leads to a non-linear system of equations including a multivalued operator. To solve this problem, we use the Bermúdez-Moreno algorithm combining its ideas with a mesh intersection technique, known as supermesh, to compute certain integrals exactly, and with other strategies to improve the performance of the iterative method. We have studied the solutions, the precision in mass conservation and the speed of convergence of the method trying to improve it. Results of the simulations are presented and analyzed.

Publisher

Springer International Publishing

Link

https://link.springer.com/content/pdf/10.1007/978-3-031-38563-6_2

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