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Weak coupling of a Reynolds model and a Stokes model for hydrodynamic lubrication
Author(s) -
Nilsson B.,
Hansbo P.
Publication year - 2011
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.2281
Subject(s) - reynolds number , reynolds averaged navier–stokes equations , lubrication , mechanics , computation , reynolds equation , coupling (piping) , polygon mesh , cavitation , computational fluid dynamics , physics , classical mechanics , computer science , mathematics , geometry , mechanical engineering , engineering , turbulence , thermodynamics , algorithm
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 © 2010 John Wiley & Sons, Ltd.