Weak coupling of a Reynolds model and a Stokes model for hydrodynamic lubrication
Artikel i vetenskaplig tidskrift, 2011

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.

Stokes problem

finite element method


interface coupling

variational inequality

Reynolds problem


B. Nilsson

Högskolan i Halmstad

Peter F G Hansbo

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematik

International Journal for Numerical Methods in Fluids

0271-2091 (ISSN) 1097-0363 (eISSN)

Vol. 66 6 730-741





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