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Motion of the vitreous humour in a deforming eye-fluid-structure interaction between a nonlinear elastic solid and viscoleastic fluid

We study the motion of vitreous humour in a deforming eyeball. From the mechanical and computational perspective this is a task to solve a fluid-structure interaction problem between a complex viscoelastic fluid (vitreous humour) and a nonlinear elastic solid (sclera and lens). We propose a numerica...

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Hauptverfasser: Tůma, Karel (VerfasserIn) , Stein, Judith (VerfasserIn) , Friedmann, Elfriede (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 2018
In: Applied mathematics and computation
Year: 2018, Jahrgang: 335, Pages: 50-64
DOI:10.1016/j.amc.2018.04.030
Online-Zugang:Verlag, Volltext: http://dx.doi.org/10.1016/j.amc.2018.04.030
Verlag, Volltext: http://www.sciencedirect.com/science/article/pii/S0096300318303485
Volltext
Verfasserangaben:Karel Tůma, Judith Stein, Vít Průša, Elfriede Friedmann

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520 |a We study the motion of vitreous humour in a deforming eyeball. From the mechanical and computational perspective this is a task to solve a fluid-structure interaction problem between a complex viscoelastic fluid (vitreous humour) and a nonlinear elastic solid (sclera and lens). We propose a numerical methodology capable of handling the fluid-structure interaction problem, and we demonstrate its applicability via solving the corresponding governing equations in a realistic geometrical setting and for realistic parameter values. It is shown that the choice of the rheological model for the vitreous humour has a negligible influence on the overall flow pattern in the domain of interest, whilst it has a significant impact on the mechanical stress distribution in the domain of interest. 
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