120262
20180128005615.0
0041-1450
0041-1450
10.1080/00411450500274451
doi
7758
DAR
000233716700006
ISI
ARTICLE
Fine-scale structures and negative-density regions: Comparison of numerical methods for solving the advection equation
2005
2005
Journal Articles
A common feature of the Vlasov equation is that it develops fine-scale filamentation as time evolves, as observed, for example, in global nonlinear simulations of the ion-temperature-gradient instability. From a numerical point of view, it is not trivial to simulate nonlinear regimes characterized by increasingly smaller scales, which eventually become smaller than the (finite) grid size. When very small structures occur, higher order interpolation schemes have a tendency to produce overshoots and negative-density regions unless some additional dissipative procedure is applied. Different interpolation schemes for the distribution function are compared and discussed.
Brunetti, M.
146709
240806
Grandgirard, V.
134471
240136
Bertrand, P.
Sauter, O.
106355
240094
Vaclavik, J.
106604
240132
Villard, L.
106653
240104
261-274
3-5
Transport Theory and Statistical Physics
34
CRPP
SPC
252028
oai:infoscience.tind.io:120262
article
SB
CRPP-ARTICLE-2005-104
EPFL
PUBLISHED
REVIEWED
ARTICLE