Emmanuel Franck

Junior Researcher, INRIA NANCY GRAND EST

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Email: emmanuel.franck@inria.fr
Institut de Recherche Mathématique Avancée
7 Rue René Descartes,
67000 Strasbourg, France.


Research interests

Asymptotic preserving schemes for linear transport on unstructured meshes. We consider hyperbolic systems with stiff source terms used to approximate the linear transport equation (or Boltzmann linear equation) present in neutronic or radiative transfer. These systems are dependent of a relaxation parameter which generate a diffusion limit. In this work we propose to design finite volumes schemes on unstructured meshes with convergence estimates and stability conditions independent of the relaxation parameter (asymptotic preserving methods). see more

Asymptotic preserving and Well-Balanced schemes for non linear hyperbolic systems in fluid mechanics. In this work we study asymptotic preserving positives schemes (methods with the convergence estimates and stability conditions are independent of the relaxation parameter) and "well-balanced" schemes (methods which preserve the steady states associated to the PDE) for the Euler equations with friction and gravity. see more

Numerical stability, nonlinear solvers and preconditioning for the reduced MHD equations. The context of this work is the resolution of the MHD equations (Jorek code) and the simulation of the plasma instabilities for the Tokamak as ITER. Firstly we propose to study the theoretical and numerical stability in time for the reduced MHD models. In a second time we study nonlinear time solvers and new preconditioning method for the Jorek code. see more

Implicit Lattice Boltzmann and relaxation schemes for the fluid mechanics. In this project we propose to use implicit Lattice Boltzmann method (no exact transport) coupled with a parallel (StarPU + MPI) and implicit DG transport solver or an implicit relaxation scheme coupled with a finite element code to discretize models like Euler or MHD equations. After that the goal is to extend the method to the Tokamak simulation.

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Teaching and Supervision


Updated 2016