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Bienvenue - Laboratoire Jacques-Louis Lions

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Internships (Year 10 / Year 11 students)
Job shadowing (Year 10, Year 11 students) See https://www.math.univ-paris-diderot.fr/diffusion/index
5 ATER positions in Mathematics at Sorbonne University
deadline : 5 April at 4 p.m.
Details here

Key figures

Key figures

189 people work at LJLL

90 permanent employees

82 researchers and permanent lecturers

8 engineers, technicians and administrative staff

99 non-permanent staff

73 Phd students

14 Post-doc and ATER

12 distinguished and volunteer contributors

 

Figures : March 2019

 

Stability and interaction with walls for magnetic fusion plasmas

 

Upcoming seminars  (See events in the agenda)

- Tuesday 9 April 9 2019 at 2 p. m. : Alejandro Alvarez Laguna (CMAP, Ecole Polytechnique)

(attention, unusual schedule)

An asymptotic preserving well-balanced scheme for the isothermal fluid plasma equations in low-temperature plasma applications

 

Summary

We present a novel numerical scheme for the efficient and accurate
resolution of the moment equations for low-temperature plasmas coupled
to Poisson’s equation.
The model considers electrons and ions as separate fluids, comprising the electron inertia and a finite Debye length. The discretization of this system with standard explicit schemes is
constrained to the resolution of the Debye length, the electron plasma
frequency, and the electron sound waves.
In this work we discuss the asymptotic behaviour of the set of equations with respect to two parameters : the electron-to-ion mass ratio and the Debye length. The proposed scheme is based on the Lagrange-projection operator
splitting and it preserves the asymptotic regime where the plasma is
quasi-neutral with massless electrons.
A well-balance treatment of the ion source terms is proposed in order to
tackle problems where the ion temperature is very low compared to this
of electrons.
The scheme proves to significantly improve the accuracy both in the quasi-neutral limit and in the presence of plasma sheaths. As a result, the computational time of the simulation is dramatically
reduced by several orders of magnitude when the plasma is quasi-neutral
as compared to a standard discretization that needs to resolve the small
scales.

 

Location

Seminar room 15-16, 3rd floor, room 309

Laboratoire Jacques Louis Lions

Pierre and Marie Curie University (Paris 6)

4 Place Jussieu, 75252 Paris, FRANCE

You can get easy access to the place with the lift of tower 16, situated on the left when arriving on the campus. mapNew window

 

 


Motivations

The working group meets on Tuesday at 11:00 a.m. (in principle). All topics concerning mathematical, numerical or physical modelling of magnetic fusion plasmas are possible, with a preference for stability issues and the interaction of the plasma with the edges.

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