| 1. |
- Nilsson, Bertil, 1953-, et al.
(författare)
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A Stokes model with cavitation for the numerical simulation of hydrodynamic lubrication
- 2011
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Ingår i: International Journal for Numerical Methods in Fluids. - Chichester, Sussex : Wiley. - 0271-2091 .- 1097-0363. ; 67:12, s. 2015-2025
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Tidskriftsartikel (refereegranskat)abstract
- We present a cavitation model based on the Stokes equation and formulate adaptive finite element methods for its numerical solution. A posteriori error estimates and adaptive algorithms are derived, and numerical examples illustrating the theory are supplied, in particular with comparison to the simplified Reynolds model of lubrication.
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| 2. |
- Nilsson, Bertil, 1953-, et al.
(författare)
-
Adaptive finite element methods for hydrodynamic lubrication with cavitation
- 2007
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Ingår i: International Journal for Numerical Methods in Engineering. - Chichester : John Wiley & Sons. - 0029-5981 .- 1097-0207. ; 72:13, s. 1584-1604
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Tidskriftsartikel (refereegranskat)abstract
- We present an adaptive finite element method for a cavitation model based on Reynolds' equation. A posteriori error estimates and adaptive algorithms are discussed, and numerical examples illustrating the theory are supplied.
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| 3. |
- Nilsson, Bertil, 1953-, et al.
(författare)
-
Weak coupling of a Reynolds model and a Stokes model for hydrodynamic lubrication
- 2011
-
Ingår i: International Journal for Numerical Methods in Fluids. - Chichester, Sussex : Wiley. - 0271-2091 .- 1097-0363. ; 66:6, s. 730-741
-
Tidskriftsartikel (refereegranskat)abstract
- 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.
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