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Weak coupling of a Reynolds model and a Stokes model for hydrodynamic lubrication

B. Nilsson ; Peter Hansbo (Institutionen för matematiska vetenskaper, matematik)
International Journal for Numerical Methods in Fluids (0271-2091). Vol. 66 (2011), 6, p. 730-741.
[Artikel, refereegranskad vetenskaplig]

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. Copyright (C) 2010 John Wiley & Sons, Ltd.

Nyckelord: Reynolds problem, Stokes problem, interface coupling, cavitation, variational inequality, finite element method



Denna post skapades 2011-06-13.
CPL Pubid: 141585

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Tillämpad matematik

Chalmers infrastruktur