activity
20102025
most citedEnergy-based operator splitting approach for the time discretization of coupled systems of partial and ordinary differential equations for fluid flows: The Stokes case

16 citations · 29 across the 8 of their papers we have counts for

collaborators
Showing math.APShow all

4 papers · 1 filter

math.AP2025★ 1 cited

Mathematical modeling and simulation of coupled aqueous humor flow and temperature distribution in a realistic 3D human eye geometry

Thomas Saigre, Vincent Chabannes, Christophe Prud'Homme +1

We present a comprehensive computational model to simulate the coupled dynamics of aqueous humor flow and heat transfer in the human eye. To manage the complexity of the model, we…

math.AP2024

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

Thomas Saigre, Christophe Prud'Homme, Marcela Szopos +1

Understanding human eye behavior involves intricate interactions between physical phenomena such as heat transfer and fluid dynamics. Accurate computational models are vital for co…

math.AP2024★ 2 cited

Model order reduction and sensitivity analysis for complex heat transfer simulations inside the human eyeball

Thomas Saigre, Christophe Prud'Homme, Marcela Szopos

Heat transfer in the human eyeball, a complex organ, is significantly influenced by various pathophysiological and external parameters. Particularly, heat transfer critically affec…

math.AP2017★ 3 cited

High order finite element simulations for fluid dynamics validated by experimental data from the fda benchmark nozzle model

Vincent Chabannes, Christophe Prud'Homme, Marcela Szopos +1

The objective of the present work is to construct a sound mathematical, numerical and computational framework relevant to blood flow simulations and to assess it through a careful…