Orateur
Description
Our goal is to introduce a mathematical model for gas flow through a one-way valve which opens and closes (any value between fully open and fully closed is attainable) depending on the gap between the upstream and the downstream values of the pressure. This can be done by representing the valve as a unilateral point constraint on the gas flow, and introducing a suitable non-classical Riemann Solver which dictates the local behavior of the solution at the valve location.
We are particularly interested in the possibility to avoid chattering (the fast switch on and off of the valve), which, from a purely mathematical point of view, means that we want the non-classical Riemann Solver to be coherent.
This talk, based on an ongoing collaboration with Alice Gauthier, Ulrich Razafison and Massimiliano D. Rosini, will provide an overview of the theoretical and numerical results we obtained to this day and some perspective directions of investigation.
