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Research Papers: Elastohydrodynamic Lubrication

Progressive Mesh Densification Method for Numerical Solution of Mixed Elastohydrodynamic Lubrication

[+] Author and Article Information
Wei Pu, Dong Zhu

School of Aeronautics and Astronautics,
Sichuan University,
Chengdu 610065, China

Jiaxu Wang

School of Aeronautics and Astronautics,
Sichuan University,
Chengdu 610065, China;
State Key Laboratory of
Mechanical Transmission,
Chongqing University,
Chongqing 40044, China
e-mail: cquwjx@foxmail.com

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received February 8, 2015; final manuscript received August 13, 2015; published online October 15, 2015. Assoc. Editor: Zhong Min Jin.

J. Tribol 138(2), 021502 (Oct 15, 2015) (11 pages) Paper No: TRIB-15-1047; doi: 10.1115/1.4031495 History: Received February 08, 2015; Revised August 13, 2015

Numerical solution of mixed elastohydrodynamic lubrication (EHL) is of great importance for the study of lubrication formation and breakdown, as well as surface failures of mechanical components. However, converged and accurate numerical solutions become more difficult, and solution process with a fixed single discretization mesh for the solution domain appears to be quite slow, especially when the lubricant films and surface contacts coexist with real-machined roughness involved. Also, the effect of computational mesh density is found to be more significant if the average film thickness is small. In the present study, a set of sample cases with and without machined surface roughness are analyzed through the progressive mesh densification (PMD) method, and the obtained results are compared with those from the direct iteration method with a single fixed mesh. Besides, more numerical analyses with and without surface roughness in a wide range of operating conditions are conducted to investigate the influence of different compound modes in order to optimize the PMD procedure. In addition, different initial conditions are used to study the effect of initial value on the behaviors of this transient solution. It is observed that, no matter with or without surface roughness considered, the PMD method is stable for transient mixed EHL problems and capable of significantly accelerating the EHL solution process while ensuring numerical accuracy.

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Figures

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Fig. 1

Different mesh density levels

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Fig. 2

A sample three-dimensional ground surface profile

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Fig. 3

Comparison of smooth surface solutions between PMD method and that with a fixed mesh of K = V: (a) rolling speed of U = 1 m/s and (b) rolling speed of U = 0.01 m/s

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Fig. 4

Comparison of rough surface solutions between PMD method and that with a fixed mesh of K = V: (a) rolling speed of U = 1 m/s and (b) rolling speed of U = 0.01 m/s

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Fig. 5

Comparison of results from different schemes with smooth surfaces: (a) rolling speed of U = 1 m/s and (b) rolling speed of U = 0.01 m/s

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Fig. 9

Effect of initial value on the transient mixed EHL solution

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Fig. 8

Comparison of computational speeds with different schemes for cases with roughness

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Fig. 7

Comparison of different schemes with rough surfaces: (a) solution details at U = 1 m/s, (b) summary for solutions at U = 1 m/s, (c) solution details at U = 0.01 m/s, and (d) summary for solutions at U = 0.01 m/s

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Fig. 6

Comparison of computational speeds with different schemes

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