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

Author

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  • Tůma, Karel
  • Stein, Judith
  • Průša, Vít
  • Friedmann, Elfriede

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.

Suggested Citation

  • Tůma, Karel & Stein, Judith & Průša, Vít & Friedmann, Elfriede, 2018. "Motion of the vitreous humour in a deforming eye–fluid-structure interaction between a nonlinear elastic solid and viscoleastic fluid," Applied Mathematics and Computation, Elsevier, vol. 335(C), pages 50-64.
    • Handle: RePEc:eee:apmaco:v:335:y:2018:i:c:p:50-64
    DOI: 10.1016/j.amc.2018.04.030
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