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- R. Belaouar, Nicolas Crouseilles, Pierre Degond, Eric Sonnendrücker
- J. Sci. Comput.
- 2009

This paper deals with the numerical simulations of the Vlasov-Poisson equation using a phase space grid in the quasi-neutral regime. In this limit, explicit numerical schemes suffer from numerical constraints related to the small Debye length and large plasma frequency. Here, we propose a semi-Lagrangian scheme for the Vlasov-Poisson model in the… (More)

- R. Belaouar, Thierry Colin, Gérard Gallice
- J. Comput. Physics
- 2009

In this paper, we present a numerical model for laser-plasma interaction involving Raman instability and Landau damping. This model exhibits three main difficulties. The first one is the coupling of PDE’s posed both in Fourier space and in physical space. The second one is a three wave resonance condition that has to be verified. The third one is the… (More)

This article is devoted to the numerical study of a nonlinear Schrödinger equation in which the coefficient in front of the group velocity dispersion is multiplied by a real valued Gaussian white noise. We first perform the numerical analysis of a semi-discrete Crank-Nicolson scheme in the case when the continuous equation possesses a unique global… (More)

In this paper, we study a Zakharov system coupled to an electron diffusion equation describing laser-plasma interactions. Starting from the Vlasov-Maxwell system, and using a transformation that decomposes slowly varying components on the plasma frequency time scale, we derive a nonlinear Schrödinger like system which takes into account the energy exchanged… (More)

- R. Belaouar, Nicolas Crouseilles, Pierre Degond, E. Sonnendrü
- 2009

- Yanick Sarazin, G . Dif - Pradalier, +10 authors Ludovic Villard
- 2008

Turbulent transport dynamics and level are investigated with the 5D gyrokinetic global code GYSELA, modelling the Ion Temperature Gradient instability with adiabatic electrons. The heat transport exhibits large scale events, propagating radially in both directions at velocities of the order of the diamagnetic velocity. The effective diffusivity is in… (More)

Saturation of the electron plasma wave amplitude exited by a spatially localized driver and the electron acceleration are studied by means of numerical simulations. The model consists of the Zakharov equations for the electron plasma and ion acoustic waves coupled to the quasi-linear equation for the electron distribution function. The saturation levels of… (More)

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