Publication Type |
Manuscript |
School or College |
College of Engineering |
Department |
Computing, School of |
Creator |
Berzins, Martin |
Other Author |
Lu, H.; Goodyer, C. E.; Jimack, P. K. |
Title |
Adaptive high-order discontinuous galerkin solution of elastohydrodynamic lubrication point contact problems |
Date |
2012-01-01 |
Description |
This paper describes an adaptive implementation of a high order Discontinuous Galerkin (DG) method for the solution of elastohydrodynamic lubrication (EHL) point contact problems. These problems arise when modelling the thin lubricating film between contacts which are under sufficiently high pressure that the elastic deformation of the contacting elements cannot be neglected. The governing equations are highly nonlinear and include a second order partial differential equation that is derived via the thin-film approximation. Furthermore, the problem features a free boundary, which models where cavitation occurs, and this is automatically captured as part of the solution process. The need for spatial adaptivity stems from the highly variable length scales that are present in typical solutions. Results are presented which demonstrate both the effectiveness and the limitations of the proposed adaptive algorithm. |
Type |
Text |
Publisher |
Elsevier |
Volume |
45 |
Issue |
1 |
First Page |
313 |
Last Page |
324 |
DOI |
doi:10.1016/j.advengsoft.2011.10.006. |
Dissertation Institution |
University of Utah |
Language |
eng |
Bibliographic Citation |
Lu, H., Berzins, M., Goodyer, C. E., & Jimack, P. K. (2012). Adaptive high-order discontinuous galerkin solution of elastohydrodynamic lubrication point contact problems. Advances in Engineering Software, 45(1), 313-24. |
Rights Management |
(c) Elsevier, Lu, H., Berzins, M., Goodyer, C. E., & Jimack, P. K. (2012). Adaptive high-order discontinuous galerkin solution of elastohydrodynamic lubrication point contact problems. Advances in Engineering Software, 45(1), 313-24. |
Format Medium |
application/pdf |
Format Extent |
1,184,874 bytes |
Identifier |
uspace,17118 |
ARK |
ark:/87278/s6xd1kcc |
Setname |
ir_uspace |
ID |
707755 |
Reference URL |
https://collections.lib.utah.edu/ark:/87278/s6xd1kcc |