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A goal oriented adaptive finite element method for hydrodynamic lubrication
Halmstad University, School of Business, Engineering and Science, Mechanical Engineering and Industrial Design (MTEK), Functional Surfaces.
Department of Applied Mechanics, Chalmers University of Technology, Gothenburg, Sweden.
(English)Manuscript (preprint) (Other academic)
Abstract [en]

We present a goal-oriented adaptive finite element method for a cavitation model based on Reynolds' equation. A posteriori error estimates and adaptive algorithms are derived, and numerical examples illustrating the theory are supplied.

National Category
Tribology Manufacturing, Surface and Joining Technology
Identifiers
URN: urn:nbn:se:hh:diva-30578OAI: oai:DiVA.org:hh-30578DiVA: diva2:914165
Note

Som manuskript i avhandling. As manuscript in dissertation. Omfång: sid. C1 – C12 i avhandlingen

Available from: 2016-03-23 Created: 2016-03-23 Last updated: 2016-03-23Bibliographically approved
In thesis
1. Adaptive Finite Element Methods for the Reynolds Thin Film Model with Cavitation
Open this publication in new window or tab >>Adaptive Finite Element Methods for the Reynolds Thin Film Model with Cavitation
2005 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

The main purpose of this thesis is to use modern goal-oriented adaptive finite element techniques in order to improve the numerical simulation of tribology. Two novel adaptive finite element methods for the Reynolds thin film model including cavitation are presented and their different strategies are compared. The algorithms are inspired by an analogy with the obstacle problem and the cavitation problem that we consider is written as a variational inequality considering in the formulation the fact that the lubricant can not stand negative stresses induced by sub-atmospheric pressure. A posteriori, error estimates and adaptive algorithms are derived, and numerical examples illustrating the theory are supplied. The cavitation problem and calculations is introduced and put into historical and modern perspective. Modern thoughts and techniques around the oil-pocket idea in sheet metal forming are presented. The influence of oil pockets on the contact regime is assessed, and in particular the likely effect of oil-pocket-induced cavitation in order to produce lift, is discussed. The ultimate goal with the numerical simulation is to be able to optimize the surface structure so as to take advantage of cavitation effects in the lubricant.

Place, publisher, year, edition, pages
Göteborg: Chalmers University of Technology, 2005. 21 p.
Series
Technical report, ISSN 1652-8565 ; 2005:6
Keyword
tribology, Reynolds equation, cavitation, FEM, adaptivity, variational inequality, penalty formulation, error estimation, residual, duality
National Category
Engineering and Technology
Identifiers
urn:nbn:se:hh:diva-1359 (URN)2082/1738 (Local ID)2082/1738 (Archive number)2082/1738 (OAI)
Presentation
(English)
Available from: 2008-04-25 Created: 2008-04-25 Last updated: 2016-05-18Bibliographically approved

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CiteExportLink to record
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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf