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A Stokes model with cavitation for the numerical simulation of hydrodynamic lubrication
Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
2011 (English)In: International Journal for Numerical Methods in Fluids, ISSN 0271-2091, E-ISSN 1097-0363, Vol. 67, no 12, 2015-2025 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2011. Vol. 67, no 12, 2015-2025 p.
Keyword [en]
Stokes problem, cavitation, variational inequality, finite element method, adaptivity, error estimate
National Category
Engineering and Technology Tribology Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:hj:diva-16818DOI: 10.1002/fld.2479OAI: oai:DiVA.org:hj-16818DiVA: diva2:462372
Available from: 2011-12-07 Created: 2011-12-07 Last updated: 2012-02-07Bibliographically approved

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Hansbo, Peter
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JTH. Research area Product Development - Simulation and Optimization
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