| | |
| | |
Stat |
Members: 3643 Articles: 2'487'895 Articles rated: 2609
28 March 2024 |
|
| | | |
|
Article overview
| |
|
A discontinuous Galerkin method for the Vlasov-Poisson system | R. E. Heath
; I.M. Gamba
; P.J. Morrison
; C. Michler
; | Date: |
15 Sep 2010 | Abstract: | A discontinuous Galerkin method for approximating the Vlasov-Poisson system
of equations describing the time evolution of a collisionless plasma is
proposed. The method is mass conservative and, in the case that piecewise
constant functions are used as a basis, the method preserves the positivity of
the electron distribution function. The performance of the method is
investigated by computing six examples. In particular, computed results are
benchmarked against established theoretical results for linear advection and
the phenomenon of linear Landau damping for both the Maxwell and Lorentz
distributions. Moreover, two non linear problems are considered: non linear
Landau damping and a version of the two-stream instability are computed. For
the latter, fine scale details of the resulting long-time BGK-like state are
presented. Conservation laws are examined and various comparisons to theory are
made. The results obtained demonstrate that the discontinuous Galerkin method
is a viable option for integrating the Vlasov-Poisson system. | Source: | arXiv, 1009.3046 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser claudebot
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |