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research article

Fine-scale structures and negative-density regions: Comparison of numerical methods for solving the advection equation

Brunetti, M.  
•
Grandgirard, V.  
•
Bertrand, P.
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2005
Transport Theory and Statistical Physics

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.

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Type
research article
DOI
10.1080/00411450500274451
Web of Science ID

WOS:000233716700006

Author(s)
Brunetti, M.  
Grandgirard, V.  
Bertrand, P.
Sauter, O.  orcid-logo
Vaclavik, J.  
Villard, L.  
Date Issued

2005

Published in
Transport Theory and Statistical Physics
Volume

34

Issue

3-5

Start page

261

End page

274

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
CRPP  
SPC  
Available on Infoscience
April 16, 2008
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/22238
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