an:07130379
Zbl 1427.76288
Tůma, Karel; Stein, Judith; Průša, Vít; Friedmann, Elfriede
Motion of the vitreous humour in a deforming eye-fluid-structure interaction between a nonlinear elastic solid and viscoelastic fluid
EN
Appl. Math. Comput. 335, 50-64 (2018).
0096-3003
2018
j
76Z05 92C35 74B20 74F10 92C10 74S05
viscoelastic fluid; Burgers model; nonlinear elasticity; fluid structure interaction; eye
Summary: 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.