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Weak coupling of a Reynolds model and a Stokes model for hydrodynamic lubrication
Halmstad University, School of Information Science, Computer and Electrical Engineering (IDE), Halmstad Embedded and Intelligent Systems Research (EIS), MPE-lab. (CSE)
Chalmers, Matematiska vetenskaper. (CSE)
2011 (English)In: International Journal for Numerical Methods in Fluids, ISSN 0271-2091, E-ISSN 1097-0363, Vol. 66, no 6, 730-741 p.Article in journal (Refereed) Published
Abstract [en]

The Reynolds model is a reduced Stokes model, valid for narrow lubrication regions. In order to be able to handle locally non-narrow regions such as pits or grooves, often displaying rapid geometrical variations, there is a need to be able to transit to the more accurate Stokes model. A fundamental problem is how to couple the two models in a numerical simulation, preferably allowing for different meshes in the different domains. In this paper, we present a weak coupling method for Reynolds and Stokes models for lubrication computations, including the possibility of cavitation in the different regions. The paper concludes with a numerical example.

Place, publisher, year, edition, pages
Chichester, Sussex: John Wiley & Sons, 2011. Vol. 66, no 6, 730-741 p.
Keyword [en]
Reynolds problem, Stokes problem, interface coupling, cavitation, variational inequality, finite element method
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hh:diva-16332DOI: 10.1002/fld.2281ISI: 000291097500005Scopus ID: 2-s2.0-77958550318OAI: oai:DiVA.org:hh-16332DiVA: diva2:443421
Available from: 2011-09-25 Created: 2011-09-25 Last updated: 2012-10-15Bibliographically approved

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