Obiettivo 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. Campo scientifico natural sciencesphysical sciencesplasma physics Programma(i) H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions Main Programme H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility Argomento(i) MSCA-IF-2014-EF - Marie Skłodowska-Curie Individual Fellowships (IF-EF) Invito a presentare proposte H2020-MSCA-IF-2014 Vedi altri progetti per questo bando Meccanismo di finanziamento MSCA-IF-EF-ST - Standard EF Coordinatore UNIVERSITE PAUL SABATIER TOULOUSE III Contribution nette de l'UE € 185 076,00 Indirizzo ROUTE DE NARBONNE 118 31062 Toulouse Cedex 9 Francia Mostra sulla mappa Regione Occitanie Midi-Pyrénées Haute-Garonne Tipo di attività Higher or Secondary Education Establishments Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Partecipazione a programmi di R&I dell'UE Opens in new window Rete di collaborazione HORIZON Opens in new window Costo totale € 185 076,00 Partecipanti (1) Classifica in ordine alfabetico Classifica per Contributo netto dell'UE Espandi tutto Riduci tutto UNIVERSITE LYON 1 CLAUDE BERNARD Partecipazione conclusa Francia Contribution nette de l'UE € 0,00 Indirizzo BOULEVARD DU 11 NOVEMBRE 1918 NUM43 69622 Villeurbanne Cedex Mostra sulla mappa Regione Auvergne-Rhône-Alpes Rhône-Alpes Rhône Tipo di attività Higher or Secondary Education Establishments Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Partecipazione a programmi di R&I dell'UE Opens in new window Rete di collaborazione HORIZON Opens in new window Costo totale Nessun dato