Title :

Finite Volume Schemes on Unstructured Grids for Non-Local Models
Application to the Simulation of Heat Transport in Plasmas

Author(s) :

Goudon, Thierry [Auteur]
COmplex Flows For Energy and Environment [COFFEE]
Laboratoire Jean Alexandre Dieudonné [LJAD]
Parisot, Martin [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]

Journal title :

Journal of Computational Physics

Pages :

20

Publisher :

Elsevier

Publication date :

2012

ISSN :

0021-9991

English keyword(s) :

Plasma physics
Non-local models
Finite Volume Method
Unstructured Meshes

HAL domain(s) :

Mathématiques [math]/Analyse numérique [math.NA]
Sciences de l'ingénieur [physics]/Plasmas

English abstract : [en]

In the so-called Spitzer-Harm regime, equations of plasma physics reduce to a non linear parabolic equation for the electronic temperature. Coming back to the derivation of this limiting equation through hydrodynamic regime ...
Show more >In the so-called Spitzer-Harm regime, equations of plasma physics reduce to a non linear parabolic equation for the electronic temperature. Coming back to the derivation of this limiting equation through hydrodynamic regime arguments, one is led to construct a hierarchy of models where the heat fluxes are defined through a non-local relation which can be reinterpreted as well by introducing coupled diffusion equations. We address the question of designing numerical methods to simulate these equations. The basic requirement for the scheme is to be asymptotically consistent with the Spitzer-Harm regime. Furthermore, the constraints of physically realistic simulations make the use of unstructured meshes un-avoidable. We develop a Finite Volume scheme, based on Vertex-Based discretization, which reaches these objectives. We discuss on numerical grounds the efficiency of the method, and the ability of the generalized models in capturing relevant phenomena missed by the asymptotic problem.Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL