Explore the words cloud of the HNSKMAP project. It provides you a very rough idea of what is the project "HNSKMAP" about.
The following table provides information about the project.
UNIVERSITE PAUL SABATIER TOULOUSE III
|Coordinator Country||France [FR]|
|Total cost||185˙076 €|
|EC max contribution||185˙076 € (100%)|
1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
|Duration (year-month-day)||from 2016-02-01 to 2018-01-31|
Take a look of project's partnership.
|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|
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.
|year||authors and title||journal||last update|
Francis Filbet, Tao Xiong, Eric SonnendrÃ¼cker
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|
Francis Filbet and Tao Xiong
A Hybrid Discontinuous Galerkin Scheme for Multi-scale Kinetic Equations
published pages: , ISSN: , DOI:
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|
A high order bound preserving finite difference linear scheme for incompressible flows
published pages: , ISSN: , DOI:
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