Postdoctoral position : Analysis and numerical methods for plasma sheath models
The MUFFIN(MUltiscale and treFFtz for numerIcal traNsport ) ANR project aims at making progress in the numerical simulation of multidimensional kinetic equations. A part of the project is concerned with modeling and accurate numerical simulation of plasma sheaths. Plasma sheaths are non neutral boundary layers that develop when a plasma is in contact with a metallic wall [3, 5, 1]. Their modeling is a challenge and the development of specific numerical methods for their accurate simulations is a bottleneck for global plasmas simulations (specifically in the context of the ITER project ). We are seeking a dynamic PhD graduate in applied mathematics, with a tropism for numerical analysis and scientific computing for PDEs. The project will require both theoretical studies and implementation of numerical methods.
Depending on the preference and/or expertise of the applicant, several work leads are possible:
- The construction of stationary plasma sheaths in cylindrical geometry.
- A linear stability study of plasma sheaths.
- The development of compatible semi-Lagrangian schemes for the Vlasov-Ampere equations that preserve a discrete Gauss Law .
Location: Laboratoire de Mathématiques Jean Leray, Université de Nantes.
Grant: ANR MUFFIN project.
Advisors: Mehdi BADSI, Christophe BERTHON and Anaïs CRESTETTO
Beginning: September 2021 or October 2021.
Duration: 12 months.
For more information, send an email with your CV, publications
and reference contacts to: firstname.lastname@example.org
The deadline for applying is June 1rst 2021.
 M. Badsi, M. Campos Pinto, and B. Despres. A minimization formulation of a bikinetic sheath. Kinetic and related models, 9(4), 2016.
 M. Campos-Pinto and E. Sonnendrucker. Compatible maxwell solvers with particles i: conforming and non-conforming 2d schemes with a strong ampere law. SMAI Journal of Computational Mathematics, 3, 2017.
 Francis F. Chen. Introduction to Plasma Physics and controlled fusion. Springer, 1984.
 ITER. Iter organization.
 K.U Riemann. The bohm criterion and sheath formation. Physics of Plasmas, 1991.