Full and Hybrid Multiscale Lubrication Modeling
The numerical solution for the lubrication of parallel rough surfaces cannot be obtained using the well-known flow factors of Patir and Cheng. Nor can it be determined using homogenization techniques. Is there an alternative, besides a purely long-term deterministic way of solving the problem? The p...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-11-01
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| Series: | Lubricants |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-4442/10/12/329 |
| _version_ | 1827638031473967104 |
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| author | Arthur Francisco Noël Brunetière |
| author_facet | Arthur Francisco Noël Brunetière |
| author_sort | Arthur Francisco |
| collection | DOAJ |
| description | The numerical solution for the lubrication of parallel rough surfaces cannot be obtained using the well-known flow factors of Patir and Cheng. Nor can it be determined using homogenization techniques. Is there an alternative, besides a purely long-term deterministic way of solving the problem? The present paper aims at proposing a multiscale approach in order to reduce the computing time, specific to deterministic resolutions, while maintaining good accuracy. The configuration is a parallel rough surface slider, with imposed hydrodynamic operating conditions. The domain consists of independent macro-elements, on which the Reynolds equation is solved. Then, the macro-element boundaries are adjusted to ensure global mass conservation. In its hybrid version, the algorithm replaces some well-chosen macro-elements by simple linear finite elements. The results clearly show the potential of our method. Because the lubrication of each macro-element can be processed independently, the multicore architecture of the processor is exploited. Even if the performance depends on the ratio roughness/height, the computing time is half than for the classical deterministic method, with a few percent errors. The work concludes with some recommendations on the configurations for which the multiscale method is best suited, such as surfaces with short correlation lengths. |
| first_indexed | 2024-03-09T16:10:56Z |
| format | Article |
| id | doaj.art-5b6827356c99412c9fc6bfad46abe937 |
| institution | Directory Open Access Journal |
| issn | 2075-4442 |
| language | English |
| last_indexed | 2024-03-09T16:10:56Z |
| publishDate | 2022-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Lubricants |
| spelling | doaj.art-5b6827356c99412c9fc6bfad46abe9372023-11-24T16:15:02ZengMDPI AGLubricants2075-44422022-11-01101232910.3390/lubricants10120329Full and Hybrid Multiscale Lubrication ModelingArthur Francisco0Noël Brunetière1Institut Pprime, CNRS, Université de Poitiers, ISAE-ENSMA, 16021 Angoulême, FranceInstitut Pprime, CNRS, Université de Poitiers, ISAE-ENSMA, 86962 Futuroscope Chasseneuil, FranceThe numerical solution for the lubrication of parallel rough surfaces cannot be obtained using the well-known flow factors of Patir and Cheng. Nor can it be determined using homogenization techniques. Is there an alternative, besides a purely long-term deterministic way of solving the problem? The present paper aims at proposing a multiscale approach in order to reduce the computing time, specific to deterministic resolutions, while maintaining good accuracy. The configuration is a parallel rough surface slider, with imposed hydrodynamic operating conditions. The domain consists of independent macro-elements, on which the Reynolds equation is solved. Then, the macro-element boundaries are adjusted to ensure global mass conservation. In its hybrid version, the algorithm replaces some well-chosen macro-elements by simple linear finite elements. The results clearly show the potential of our method. Because the lubrication of each macro-element can be processed independently, the multicore architecture of the processor is exploited. Even if the performance depends on the ratio roughness/height, the computing time is half than for the classical deterministic method, with a few percent errors. The work concludes with some recommendations on the configurations for which the multiscale method is best suited, such as surfaces with short correlation lengths.https://www.mdpi.com/2075-4442/10/12/329lubricationmultiscale modelingrough surfaces |
| spellingShingle | Arthur Francisco Noël Brunetière Full and Hybrid Multiscale Lubrication Modeling Lubricants lubrication multiscale modeling rough surfaces |
| title | Full and Hybrid Multiscale Lubrication Modeling |
| title_full | Full and Hybrid Multiscale Lubrication Modeling |
| title_fullStr | Full and Hybrid Multiscale Lubrication Modeling |
| title_full_unstemmed | Full and Hybrid Multiscale Lubrication Modeling |
| title_short | Full and Hybrid Multiscale Lubrication Modeling |
| title_sort | full and hybrid multiscale lubrication modeling |
| topic | lubrication multiscale modeling rough surfaces |
| url | https://www.mdpi.com/2075-4442/10/12/329 |
| work_keys_str_mv | AT arthurfrancisco fullandhybridmultiscalelubricationmodeling AT noelbrunetiere fullandhybridmultiscalelubricationmodeling |