The Project
This program aims at making progress in the numerical simulation of multidimensional kinetic equations.
Our proposal centers on the advanced numerical simulation and thorough analysis of kinetic equations and their underlying systems. These models have wide-ranging applications across numerous fields, notably in plasma physics and gas dynamics. A key feature of these systems is their formulation within phase space (position and velocity), capturing phenomena across multiple physical scales. This multi-scale nature presents significant computational challenges, demanding substantial processing resources and posing a major obstacle to effective modeling and simulation in applied physical sciences.
Our objective is to develop and rigorously analyze efficient numerical methods that can accurately and feasibly handle the complex multi-scale dynamics inherent in high-dimensional kinetic models.
The project will focus on two primary classes of numerical schemes:
- The first employs a Lagrangian framework, which offers enhanced robustness and flexibility in handling complex, multi-dimensional geometries.
- The second involves Eulerian approaches, known for their high accuracy, particularly when solutions are near thermodynamic equilibrium.
Numerical Simulations of the Project: The HOPE Project
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Video of Hermite simulations in an interval (collaboration
A. Blaustein, M. Bessemoulin-Chatard, F. Filbet)
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Video of PIC simulations in a torus (collaboration
F. Filbet, L.M. Rodrigues, K.H. Trinh).
Contract number: ANR-25-CE40-5565
Two poles: IMT University of Toulouse, LMJL University Nantes
Core members: M. Badsi, M. Bessemoulin-Chatard, A. Blaustein, F. Charles, A. Crestetto, T. Crin-Barat, N. Crouseilles, B. Després, F. Filbet, F. Hérau, P. Gervais, M. Mehrenberger, M.-H. Vignal.
Students: K. H. Trinh, B. Grosse.
Link to the Web page of the ANR project
Agenda
- ANR meeting and workshops in September 2026.
Hiring
- One 1+1 years post-doctoral position in Toulouse funded by ANR, is now open to start in Sept. 2026. Please send your application to Francis Filbet including your own project, CV and list of publication. Deadline is fixed to 1st April 2026.
- One PhD position in Nantes funded by ANR, to be held between 2026-2028.
Publications
- Publications related to the project are available on HAL.