A coupled fluid-dynamics-heat transfer model for 3D simulations of the aqueous humor flow in the human eye

Thomas Saigre (1, 2) , Christophe Prud'Homme (1, 2) , Marcela Szopos (3) , Vincent Chabannes (1, 2)

1 IRMA - Institut de Recherche Mathématique Avancée
2 Cemosis
3 MAP5 - UMR 8145 - Mathématiques Appliquées Paris 5

Understanding human eye behavior involves intricate interactions between physical phenomena such as heat transfer and fluid dynamics. Accurate computational models are vital for comprehending ocular diseases and therapeutic interventions. This work focuses on modeling and simulating aqueous humor flow in the anterior and posterior chambers of the eye, coupled with overall heat transfer. Aqueous humor dynamics regulates intraocular pressure, crucial for understanding conditions like glaucoma. Convective effects from temperature disparities also influence this flow. Extending prior research, this work develops a comprehensive three-dimensional computational model to simulate coupled fluid-dynamic-heat transfer model, thus contributing to the understanding of ocular physiology.

Keywords: mathematical and computational ophthalmology; finite element method; thermo-fluid dynamics; mathematical and computational ophthalmology; Thermo-fluid dynamics

Domains: Analysis of PDEs [math.AP]

Thomas Saigre, Christophe Prud'Homme, Marcela Szopos, Vincent Chabannes. A coupled fluid-dynamics-heat transfer model for 3D simulations of the aqueous humor flow in the human eye. CMBE24, Jun 2024, Arlington (Virginia), United States. ⟨hal-04558924⟩