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Adaptive finite element solution of a cavitation problem in hydrodynamic lubrication
Högskolan i Halmstad, Akademin för ekonomi, teknik och naturvetenskap, Maskinteknisk produktframtagning (MTEK), Funktionella ytor.
Department of Applied Mechanics, Chalmers University of Technology, Gothenburg, Sweden.
(engelsk)Manuskript (preprint) (Annet vitenskapelig)
Abstract [en]

We present an 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.

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Identifikatorer
URN: urn:nbn:se:hh:diva-30574OAI: oai:DiVA.org:hh-30574DiVA, id: diva2:914084
Merknad

Som manuskript i avhandling. As manuscript in dissertation. Omfång: sid. B1 – B20 i avhandlingen

Tilgjengelig fra: 2016-03-23 Laget: 2016-03-23 Sist oppdatert: 2018-03-22bibliografisk kontrollert
Inngår i avhandling
1. Adaptive Finite Element Methods for the Reynolds Thin Film Model with Cavitation
Åpne denne publikasjonen i ny fane eller vindu >>Adaptive Finite Element Methods for the Reynolds Thin Film Model with Cavitation
2005 (engelsk)Licentiatavhandling, med artikler (Annet vitenskapelig)
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.

sted, utgiver, år, opplag, sider
Göteborg: Chalmers University of Technology, 2005. s. 21
Serie
Technical report, ISSN 1652-8565 ; 2005:6
Emneord
tribology, Reynolds equation, cavitation, FEM, adaptivity, variational inequality, penalty formulation, error estimation, residual, duality
HSV kategori
Identifikatorer
urn:nbn:se:hh:diva-1359 (URN)2082/1738 (Lokal ID)2082/1738 (Arkivnummer)2082/1738 (OAI)
Presentation
(engelsk)
Tilgjengelig fra: 2008-04-25 Laget: 2008-04-25 Sist oppdatert: 2018-03-23bibliografisk kontrollert

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Nilsson, Bertil

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