The kinetic Vlasov-Poisson model is very expensive to solve numerically. It can be approx-imated by a multi-water-bag model in order to reduce the complexity. This model amounts to solve a set of Burgers equations, which can be done easily by finite volume methods. However, the solution is naturally multivalued (filamentation). The multivalued solution can be computed by a moment method. We present here several numerical experiments
Beaucoup de méthodes numériques ont été développées pour résoudre l'équation de Vlasov, car obtenir ...
In this paper, we extend to the case of initial data constituted of a Dirac mass plus a bounded dens...
This work is devoted to the numerical simulation of transport of particles andcollisions. We first p...
International audienceIn this paper we consider the multi-water-bag model for collisionless kinetic ...
In this paper, we propose a moment method to numerically solve the Vlasov equations using the framew...
Halfway between the N body model and the usual hydrodynamic, one the Vlasov equation (supplemented b...
International audienceMoment closures of the Vlasov-Ampère system, whereby higher moments are repres...
17 pages, 5 figuresA stochastic representation for the solutions of the Poisson-Vlasov equation, wit...
In this doctoral thesis, efficient particle methods describing phase transition and multi-scale flui...
International audienceWe revisit, with a view to refinement and generalization, the elegant waterbag...
International audienceWe revisit in one dimension the waterbag method to solve numerically Vlasov-Po...
This paper proposes a reduced model to simulate the one-dimensional Vlasov-Poisson equation with the...
International audiencePredicting turbulent transport in nearly collisionless fusion plasmas requires...
The first article is contained in the proceedings of the workshop on 'Fluid dynamical approaches to ...
We describe the structure of an original application of the method of moments to the Vlasov-Poisson ...
Beaucoup de méthodes numériques ont été développées pour résoudre l'équation de Vlasov, car obtenir ...
In this paper, we extend to the case of initial data constituted of a Dirac mass plus a bounded dens...
This work is devoted to the numerical simulation of transport of particles andcollisions. We first p...
International audienceIn this paper we consider the multi-water-bag model for collisionless kinetic ...
In this paper, we propose a moment method to numerically solve the Vlasov equations using the framew...
Halfway between the N body model and the usual hydrodynamic, one the Vlasov equation (supplemented b...
International audienceMoment closures of the Vlasov-Ampère system, whereby higher moments are repres...
17 pages, 5 figuresA stochastic representation for the solutions of the Poisson-Vlasov equation, wit...
In this doctoral thesis, efficient particle methods describing phase transition and multi-scale flui...
International audienceWe revisit, with a view to refinement and generalization, the elegant waterbag...
International audienceWe revisit in one dimension the waterbag method to solve numerically Vlasov-Po...
This paper proposes a reduced model to simulate the one-dimensional Vlasov-Poisson equation with the...
International audiencePredicting turbulent transport in nearly collisionless fusion plasmas requires...
The first article is contained in the proceedings of the workshop on 'Fluid dynamical approaches to ...
We describe the structure of an original application of the method of moments to the Vlasov-Poisson ...
Beaucoup de méthodes numériques ont été développées pour résoudre l'équation de Vlasov, car obtenir ...
In this paper, we extend to the case of initial data constituted of a Dirac mass plus a bounded dens...
This work is devoted to the numerical simulation of transport of particles andcollisions. We first p...