Maxime Renard

Maxime Renard

Welcome !


After getting a Bachelor's Degree in Mathematics and Informatics at Université Grenoble Alpes (DLST & Institut Fourier, Grenoble, France), I graduated with a Master Degree in Applied Mathematics taught in collaboration by Université Grenoble Alpes and ENSIMAG. Diving into PDEs, fluid mechanics and numerical solving, I started getting interested in numerical methods to solve various types of models for Newtonian and non-Newtonian fluids.


I attended an internship in Commissariat à l'Énergie Atomique to derive entropy-conservative staggered finite difference schemes for shocks capture in Euler equations. This helped adding stability and accuracy to the computations. It was a modelling of the begining of a vapor explosion in a nuclear reactor, which may occur when a severe accident arises.


My second internship took place in Grenoble, at Laboratoire Jean Kuntzmann. It was about extending a pre-existing code implementing the viscoelastic model Oldroyd-B, to FENE-P, in order to emulate the behaviour of epithelial tissues in contraction geometry. This implied deriving Poiseuille flow solution for FENE-P model, as well as some strong analysis computations as the problem was solved using Finite Elements Methods through a damped Newton method to compute a steady-state solution. Some promising results we found during the comparison with experiment data.


Since October 2024, I am a PhD student under the direction of Pierre Saramito, Hélène Delanoë-Ayari (co-director), and Ibrahim Cheddadi (supervisor) on the subject Numerical Methods for Viscoelastic models and application to biology. It extends my last internship and will aim at both improving the results I obtained, and at finding a better model as well as other numerical methods in order to solve the PDE system that will be created introducing plasticity. It is a very multi-disciplinary project, going through fundamental physics, biomechanics, optimization, finite elements, viscoelastic models and computational fluid dynamics.


Curriculum Vitae: See here.

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