Motion of the vitreous humour in a deforming eye–fluid-structure interaction between a nonlinear elastic solid and viscoleastic fluid
| Autor: | Karel Tůma, Elfriede Friedmann, Judith Stein, Vít Průša |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Physics
Vitreous humour Applied Mathematics Fluid Dynamics (physics.flu-dyn) FOS: Physical sciences Motion (geometry) Viscoelastic fluid Physics - Fluid Dynamics Mechanics 01 natural sciences Domain (mathematical analysis) 010305 fluids & plasmas Numerical methodology 03 medical and health sciences Computational Mathematics Nonlinear system 0302 clinical medicine Rheology 0103 physical sciences Fluid–structure interaction 76A05 74F10 92C10 76Z05 030221 ophthalmology & optometry |
| Zdroj: | Applied Mathematics and Computation. 335:50-64 |
| ISSN: | 0096-3003 |
| DOI: | 10.1016/j.amc.2018.04.030 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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