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Particle-in-wavelets scheme for the 1D Vlasov-Poisson equations

Romain Nguyen van yen;  Éric Sonnendrücker;  Kai Schneider;  Marie Farge — 2011

ESAIM: Proceedings

A new numerical scheme called particle-in-wavelets is proposed for the Vlasov-Poisson equations, and tested in the simplest case of one spatial dimension. The plasma distribution function is discretized using tracer particles, and the charge distribution is reconstructed using wavelet-based density estimation. The latter consists in projecting the Delta distributions corresponding to the particles onto a finite dimensional linear space spanned by...

Influence of waves on Lagrangian acceleration in two-dimensional turbulent flows

Romain Nguyen van yen;  Benjamin Kadoch;  Vivek Kumar;  Benjamin Ménétrier;  Marie Farge;  Kai Schneider;  Diane Douady;  Lionel Guez — 2011

ESAIM: Proceedings

The Lagrangian statistics in rotating Saint-Venant turbulence are studied by means of direct numerical simulation using a pseudo-spectral discretization fully resolving, both in time and space, all the inertio-gravity waves present in the system. To understand the influence of waves, three initial conditions are considered, one which is dominated by waves, one which is dominated by vortices, and one which is intermediate between these two extreme...

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