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Title

Fine‐Scale Structures and Negative‐Density Regions: Comparison of Numerical Methods for Solving the Advection Equation

Authors
Grandgirard, V.
Bertrand, P.
Sauter, O.
Vaclavik, J.
Villard, L.
Published in Transport Theory and Statistical Physics. 2005, vol. 34, no. 3-5, p. 261-274
Abstract 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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BRUNETTI, Maura et al. Fine‐Scale Structures and Negative‐Density Regions: Comparison of Numerical Methods for Solving the Advection Equation. In: Transport Theory and Statistical Physics, 2005, vol. 34, n° 3-5, p. 261-274. https://archive-ouverte.unige.ch/unige:86867

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Deposited on : 2016-09-07

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