|Mr. Jordane MATHEFunction: Doctoral research fellow
Participation in ClerVolc program N°: 5
Main Research Unit: Mathematics Laboratory (LM)
I am a ClerVolc PhD student at the Laboratoire de Mathématiques, University Blaise Pascal in Clermont-Ferrand. My research interests are in the fields of differential equations and fluid mechanics. I am working on mathematical modeling of two-phase granular flows in partnership with the Laboratoire Magmas et Volcans, University Blaise Pascal in Clermont-Ferrand. More precisely, my study deals with dense gas-particles flows in a horizontal U-shaped channel generated by the collapse of a fluidized granular column from a reservoir, hence corresponding to a dam break configuration. Based on this work, I am developing a two-phase model which takes into account the interactions between the interstitial gas and the grains, with particular emphasis on the role of pore fluid pressure diffusion as proposed by earlier works. This research is also carried out to understand the specific rheology of a dense fluidized granular flow. Questions related to this model are both theoretical and numerical. I consider the possible existence of a local or global solution for this model, but also look for a numerical approximation to the solution in order to make comparison with empirical data.
Fluid mechanics, non-homogeneous incompressible fluid; model of dense granular flows.