title: Numerical simulations for ball bearings considering fluid-structure interaction problems and non-Newtonian fluids with a free boundary
creator: Knauf, Stefan
subject: 510
subject: 510 Mathematics
description: In this thesis a novel approach for the simulation of elastohydrodynamic problems is established. It is novel in modeling the fluid as non-Newtonian with a free boundary and considering fluid-structure interaction at the same time. We present a robust numerical algorithm for the simulation of problems of such type. Furthermore, we analyze the difficulties and propose some improvements for treating the free boundary as well as the non-Newtonian flow numerically. We adress modeling aspects and model uncertainties with respect to material models, parameters and experimental investigations. For validation, we compare the numerical approximations with a widely accepted analytic approximation from engineering literature and achieve a reasonable accuracy. We conclude by bringing the thesis in relation with interesting further points of investigation on the basis of the established methods which rely on the novel modeling in this thesis.
date: 2011
type: Dissertation
type: info:eu-repo/semantics/doctoralThesis
type: NonPeerReviewed
format: application/pdf
identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/12267/1/thesis.pdf
identifier: DOI:10.11588/heidok.00012267
identifier: urn:nbn:de:bsz:16-opus-122670
identifier:   Knauf, Stefan  (2011) Numerical simulations for ball bearings considering fluid-structure interaction problems and non-Newtonian fluids with a free boundary.  [Dissertation]     
relation: https://archiv.ub.uni-heidelberg.de/volltextserver/12267/
rights: info:eu-repo/semantics/openAccess
rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html
language: eng