TY  - JOUR
T1  - Motion of the vitreous humour in a deforming eye–fluid-structure interaction between a nonlinear elastic solid and viscoleastic fluid
A1  - Tůma, Karel
A1  - Stein, Judith
A1  - Průša, Vít
A1  - Friedmann, Elfriede
JA  - Applied Mathematics and Computation
Y1  - 2018
VL  - 335
SP  - 50
EP  - 64
M2  - doi: 10.1016/j.amc.2018.04.030
KW  - Burgers fluid
KW  - eye
KW  - fluid structure interaction
KW  - nonlinear elasticity
KW  - viscoelastic fluids
N2  - 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.
ER  -