Topical Problems of Fluid Mechanics


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Institute of Thermomechanics AS CR, v.v.i. CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics MIO Université du Sud Toulon Var - AMU - CNRS - IRD Czech Pilot centre ERCOFTAC
Development and Simulation of the Aqueous Humor Flow in the Anterior Chamber

V. Olkhovskiy, E. Friedmann

Abstract:
We develop a mathematical model for the aqueous humor flow in the anterior chamber of a human eye. Therefore, we construct a two-dimensional geometry of the flow domain and consider the Stokes equation therein. Characteristics are the inflow, the production of the aqueous humor in the ciliary body, the path along the intraocular lens and the iris into the anterior chamber and the outow through the trabecular meshwork described by a porous media with the Darcy equations for the flow. We will present our first numerical simulations of the decoupled models on two separated domains, the anterior chamber and the trabecular meshwork. They are performed by the Finite Element method with realistic patient dependent parameters. We analyze dependencies between the model parameters and discuss their effect. We found no significant ν-dependence of the averaged pressure in the decoupled model.

Keywords:
Stokes equation, Darcy equation, Finite Element method
Fulltext: PDF
DOI: https://doi.org/10.14311/TPFM.2017.031
In Proceedings Topical Problems of Fluid Mechanics 2017, Prague, 2017 Edited by David Šimurda and Tomáš Bodnár, pp. 241-248
ISBN 978-80-87012-61-1 (Print)
ISSN 2336-5781 (Print)
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