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HNSKMAP SIGNED

High-order Numerical Schemes for Kinetic Models with Applications in Plasma Physics

Total Cost €

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EC-Contrib. €

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Partnership

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Project "HNSKMAP" data sheet

The following table provides information about the project.

Coordinator
UNIVERSITE PAUL SABATIER TOULOUSE III 

Organization address
address: ROUTE DE NARBONNE 118
city: TOULOUSE CEDEX 9
postcode: 31062
website: www.ups-tlse.fr

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
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 Coordinator Country France [FR]
 Project website https://www.math.univ-toulouse.fr/~ffilbet/HNSKMAP/hnskmap.htm
 Total cost 185˙076 €
 EC max contribution 185˙076 € (100%)
 Programme 1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
 Code Call H2020-MSCA-IF-2014
 Funding Scheme MSCA-IF-EF-ST
 Starting year 2016
 Duration (year-month-day) from 2016-02-01   to  2018-01-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    UNIVERSITE PAUL SABATIER TOULOUSE III FR (TOULOUSE CEDEX 9) coordinator 185˙076.00
2    UNIVERSITE LYON 1 CLAUDE BERNARD FR (VILLEURBANNE CEDEX) participant 0.00

Map

 Project objective

In the proposed research, we will devote to the mathematical and numerical analysis of kinetic models. Kinetic theory has wide applications in physical and social sciences, such as plasma physics, semi-conductors, polymers, traffic networking etc. On the one hand, we want to propose and analyse systematic numerical methods for nonlinear kinetic models which have some challenging difficulties such as physical conservations, asymptotic regimes and stiffness. On the other hand, applications to plasma physics will be investigated, which are mainly high dimensional problems with multi-scale and complex geometries. Moreover collisions between particles for large time scale simulation need to be taken into account. We would like to develop a class of less dissipative high order Hermite methods together with weighted essentially non-oscillatory (WENO) reconstructions to control spurious numerical oscillations, and high order asymptotic preserving (AP) discontinuous Galerkin (DG) schemes with implicit-explicit (IMEX) time discretizations for multi-scale stiff problems under unresolved meshes. More importantly, these developed numerical methods would satisfy the positivity preserving (PP) principle, such as positive density distribution functions for kinetic descriptions, which is often violated by high order numerical methods with physical meaningless values.

This project will combine the expertise of the Experienced Researcher Dr. Tao Xiong in high order PP flux limiters and high order AP DG-IMEX schemes, and the Host Dr. Francis Filbet in mathematical modellings and numerical tools for kinetic equations. The developed approaches will be translated to the study of turbulent plasma physics such as 4D drift kinetic, 5D gyro-kinetic and 6D kinetic models etc.

 Publications

year authors and title journal last update
List of publications.
2018 Francis Filbet, Tao Xiong, Eric Sonnendrücker
On the Vlasov--Maxwell System with a Strong Magnetic Field
published pages: 1030-1055, ISSN: 0036-1399, DOI: 10.1137/17m1112030
SIAM Journal on Applied Mathematics 78/2 2019-06-12
2017 Francis Filbet and Tao Xiong
A Hybrid Discontinuous Galerkin Scheme for Multi-scale Kinetic Equations
published pages: , ISSN: , DOI:
2019-06-12
2017 Tao Xiong, Jing-Mei Qiu
A hierarchical uniformly high order DG-IMEX scheme for the 1D BGK equation
published pages: 164-191, ISSN: 0021-9991, DOI: 10.1016/j.jcp.2017.01.032
Journal of Computational Physics 336 2019-06-12
2017 Tao Xiong
A high order bound preserving finite difference linear scheme for incompressible flows
published pages: , ISSN: , DOI:
2019-06-12

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The information about "HNSKMAP" are provided by the European Opendata Portal: CORDIS opendata.

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