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

• Verfasst von: Tůma, Karel [VerfasserIn]
• Verfasst von: Stein, Judith [VerfasserIn]
• Verfasst von: Friedmann, Elfriede [VerfasserIn]
• Titel: Motion of the vitreous humour in a deforming eye-fluid-structure interaction between a nonlinear elastic solid and viscoleastic fluid
• Verf.angabe: Karel Tůma, Judith Stein, Vít Průša, Elfriede Friedmann
• Umfang: 15 S.
• Fussnoten: Available online 8 May 2018 ; Gesehen am 03.09.2018
• Titel Quelle: Enthalten in: Applied mathematics and computation
• Jahr Quelle: 2018
• Band/Heft Quelle: 335(2018), S. 50-64
• DOI: doi:10.1016/j.amc.2018.04.030
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1576381072

Abstract

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.