We have developed a new conservative method for solving the Vlasov equation without using any splitting technique. Our goal is to maintain the positivity of the distribution function and to avoid un-physical oscillations which might lead to numerical instabilities. Based on a finite volume conservative discretization of the conservative form of the Vlasov equation we implemented a highly accurate second-order upwind scheme. In order to avoid un-physical oscillations and their possible numerical instability we apply a flux-limiter in the second order. We validate our new Vlasov solver by considering standard cases of one-dimensional current-driven ion-acoustic instabilities solving a Vlasov-Ampere set of equations. (c) 2005 Elsevier Inc. All rights reserved.
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Univ Henri Poincare, UMR 7040, Phys Milieux Ionises Lab, F-54506 Vandoeuvre Les Nancy, FranceUniv Henri Poincare, UMR 7040, Phys Milieux Ionises Lab, F-54506 Vandoeuvre Les Nancy, France
Ghizzo, A
Huot, F
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Univ Henri Poincare, UMR 7040, Phys Milieux Ionises Lab, F-54506 Vandoeuvre Les Nancy, FranceUniv Henri Poincare, UMR 7040, Phys Milieux Ionises Lab, F-54506 Vandoeuvre Les Nancy, France
Huot, F
Bertrand, P
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Univ Henri Poincare, UMR 7040, Phys Milieux Ionises Lab, F-54506 Vandoeuvre Les Nancy, FranceUniv Henri Poincare, UMR 7040, Phys Milieux Ionises Lab, F-54506 Vandoeuvre Les Nancy, France
机构:
Univ Henri Poincare, UMR 7040, Phys Milieux Ionises Lab, F-54506 Vandoeuvre Les Nancy, FranceUniv Henri Poincare, UMR 7040, Phys Milieux Ionises Lab, F-54506 Vandoeuvre Les Nancy, France
Ghizzo, A
Huot, F
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h-index: 0
机构:
Univ Henri Poincare, UMR 7040, Phys Milieux Ionises Lab, F-54506 Vandoeuvre Les Nancy, FranceUniv Henri Poincare, UMR 7040, Phys Milieux Ionises Lab, F-54506 Vandoeuvre Les Nancy, France
Huot, F
Bertrand, P
论文数: 0引用数: 0
h-index: 0
机构:
Univ Henri Poincare, UMR 7040, Phys Milieux Ionises Lab, F-54506 Vandoeuvre Les Nancy, FranceUniv Henri Poincare, UMR 7040, Phys Milieux Ionises Lab, F-54506 Vandoeuvre Les Nancy, France