| Type de publication : |
 |
Rapport de recherche |
|
| Domaine : |
|
Mathématiques/Physique mathématique
|
|
| Titre : |
|
Asymptotic-Preserving Schemes for Fluid Models of Plasmas |
|
| Auteur(s) : |
|
Pierre Degond ( ) 1 |
|
| Laboratoire : |
|
| 1 : |
Institut de Mathématiques de Toulouse (IMT) |
|
|
Université Paul Sabatier [UPS] - Toulouse III – Université Toulouse le Mirail - Toulouse II – Université des Sciences Sociales - Toulouse I – Institut National des Sciences Appliquées (INSA) - Toulouse – CNRS : UMR5219 |
|
|
Bâtiment 1R3 118 route de Narbonne 31062 TOULOUSE CEDEX 4 |
|
|
France |
|
|
| Résumé : |
|
These notes summarize a series of works related to the numerical approximation of plasma fluid problems. We construct so-called 'Asymptotic-Preserving' schemes which are valid for a large range of values (from very small to order unity) of the dimensionless parameters that appear in plasma fluid models. Specifically, we are interested in two parameters, the scaled Debye length which quantifies how close to quasi-neutrality the plasma is, and the scaled cyclotron period, which is inversely proportional to the magnetic field strength. We will largely focus on the ideas, in order to enable the reader to apply these concepts to other situations. |
|
Langue du texte
intégral : |
|
Anglais |
|
|
Récupérer au format
