Numerical simulation of viscoelastic fluid-structure interaction benchmarks and their application to the human eye

Simple item page
dc.date.accessioned2023-03-17T09:02:16Z
dc.date.available2023-03-17T09:02:16Z
dc.date.issued2022-10-11
dc.description.sponsorshipGefördert durch den Publikationsfonds der Universität Kassel
dc.description.sponsorshipThe financial support for this project is provided by the Klaus Tschira Stiftung GmbH, Project No. 00.265.2015.
dc.identifierdoi:10.17170/kobra-202303177652
dc.identifier.urihttp://hdl.handle.net/123456789/14503
dc.language.isoeng
dc.relation.doidoi:10.1007/s42452-022-05185-8
dc.relation.projectidKlaus Tschira Stiftung gGmbH, Project No. 00.265.2015
dc.rightsNamensnennung 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectFluid-solid interactionseng
dc.subjectViscoelastic fluidsngeng
dc.subjectFinite elementeng
dc.subjectAdaptive methodseng
dc.subjectPathology and pathophysiology of the human eyeeng
dc.subject.ddc500
dc.subject.swdFluid-Struktur-Wechselwirkungger
dc.subject.swdViskoelastizitätger
dc.subject.swdFinite-Elemente-Methodeger
dc.subject.swdAdaptive Verfahrenger
dc.titleNumerical simulation of viscoelastic fluid-structure interaction benchmarks and their application to the human eyeeng
dc.typeAufsatz
dc.type.versionpublishedVersion
dcterms.abstractWe present a numerical solution method for time-dependent viscoelastic fluid–structure interaction employing the arbitrary Lagrangian Eulerian framework. The derived monolithic variational formulation is discretized in time using the shifted Crank–Nicolson scheme and in space using the finite element method. For the linearisation we employ Newton’s method with exact Jacobians. The viscoelastic fluid is modelled either using the Oldroyd-B or a Burgers-type model. The elastic structures are non-linear hyperelastic materials. We validate the implementation on benchmark problems and numerically analyse the convergence for global mesh refinement and adaptive mesh refinement using the dual-weighted residual method. Furthermore we numerically analyse the influence of the viscoelasticity of the fluid on typical goal functionals like the drag, the lift and the displacement. The derived numerical solution method is applied to ophthalmology where we analyse the interaction of the viscoelastic vitreous with its surrounding elastic structures.eng
dcterms.accessRightsopen access
dcterms.creatorDrobny, Alexander
dcterms.creatorFriedmann, Elfriede
dcterms.source.articlenumberArticle: 299
dcterms.source.identifiereissn:2523-3971
dcterms.source.issueIssue 11
dcterms.source.journalSN Applied Scienceseng
dcterms.source.volumeVolume 4
kup.iskupfalse

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
s42452_022_05185_8.pdf
Size:
2.7 MB
Format:
Adobe Portable Document Format
Description:
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
3.03 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Artikel