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A Stokes model with cavitation for the numerical simulation of hydrodynamic lubrication
Halmstad University, School of Information Science, Computer and Electrical Engineering (IDE), Halmstad Embedded and Intelligent Systems Research (EIS), Applied Mathematics and Physics (CAMP).
Chalmers, Matematiska vetenskaper. (Applied mathematics)
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
Chichester, Sussex: John Wiley & Sons, 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
Identifiers
URN: urn:nbn:se:hh:diva-16334DOI: 10.1002/fld.2479ISI: 000297736100014Scopus ID: 2-s2.0-83255185872OAI: oai:DiVA.org:hh-16334DiVA: diva2:443425
Available from: 2011-09-25 Created: 2011-09-25 Last updated: 2012-10-15Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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