Stochastic Galerkin approximation of the Reynolds equation with irregular film thickness

dc.contributorAalto-yliopistofi
dc.contributorAalto Universityen
dc.contributor.authorGustafsson, Tom
dc.contributor.authorHakula, Harri
dc.contributor.authorLeinonen, Matti
dc.contributor.departmentDepartment of Mathematics and Systems Analysis
dc.date.accessioned2021-06-02T06:15:22Z
dc.date.available2021-06-02T06:15:22Z
dc.date.embargoinfo:eu-repo/date/embargoEnd/2019-09-29
dc.date.issued2017-10
dc.description.abstractWe consider the approximation of the Reynolds equation with an uncertain film thickness. The resulting stochastic partial differential equation is solved numerically by the stochastic Galerkin finite element method with high-order discretizations both in spatial and stochastic domains. We compute the pressure field of a journal bearing in various numerical examples that demonstrate the effectiveness and versatility of the approach. The results suggest that the stochastic Galerkin method is capable of supporting design when manufacturing imperfections are the main sources of uncertainty.en
dc.description.versionPeer revieweden
dc.format.extent1590-1606
dc.format.mimetypeapplication/pdf
dc.identifier.citationGustafsson , T , Hakula , H & Leinonen , M 2017 , ' Stochastic Galerkin approximation of the Reynolds equation with irregular film thickness ' , Computers and Mathematics with Applications , vol. 74 , no. 7 , pp. 1590-1606 . https://doi.org/10.1016/j.camwa.2017.06.012en
dc.identifier.doi10.1016/j.camwa.2017.06.012
dc.identifier.issn0898-1221
dc.identifier.otherPURE UUID: 45af2d16-3c7a-463b-a951-0b6f0d0333b8
dc.identifier.otherPURE ITEMURL: https://research.aalto.fi/en/publications/45af2d16-3c7a-463b-a951-0b6f0d0333b8
dc.identifier.otherPURE FILEURL: https://research.aalto.fi/files/63085907/ghl_resub_final.pdf
dc.identifier.urihttps://aaltodoc.aalto.fi/handle/123456789/107898
dc.identifier.urnURN:NBN:fi:aalto-202106027151
dc.language.isoenen
dc.publisherElsevier Limited
dc.relation.ispartofseriesComputers and Mathematics with Applicationsen
dc.relation.ispartofseriesVolume 74, issue 7en
dc.rightsopenAccessen
dc.subject.keywordReynolds equation
dc.subject.keywordsGFEM
dc.subject.keywordStochastic surfaces
dc.titleStochastic Galerkin approximation of the Reynolds equation with irregular film thicknessen
dc.typeA1 Alkuperäisartikkeli tieteellisessä aikakauslehdessäfi
dc.type.versionacceptedVersion
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