278 citations · 3.1k across the 101 of their papers we have counts for
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Fluid Simulations with Localized Boltzmann Upscaling by Direct Simulation Monte-Carlo
Pierre Degond, Giacomo Dimarco
In the present work, we present a novel numerical algorithm to couple the Direct Simulation Monte Carlo method (DSMC) for the solution of the Boltzmann equation with a finite volum…
Degenerate anisotropic elliptic problems and magnetized plasma simulations
Stéphane Brull, Pierre Degond, Fabrice Deluzet
This paper is devoted to the numerical approximation of a degenerate anisotropic elliptic problem. The numerical method is designed for arbitrary space-dependent anisotropy directi…
Numerical approximation of the Euler-Poisson-Boltzmann model in the quasineutral limit
Pierre Degond, Hailiang Liu, Dominique Savelief +1
This paper analyzes various schemes for the Euler-Poisson-Boltzmann (EPB) model of plasma physics. This model consists of the pressureless gas dynamics equations coupled with the P…
A hierarchy of models related to nanoflows and surface diffusion
Kazuo Aoki, Pierre Charrier, Pierre Degond
In last years a great interest was brought to molecular transport problems at nanoscales, such as surface diffusion or molecular flows in nano or sub-nano-channels. In a series of…
A macroscopic model for a system of swarming agents using curvature control
Pierre Degond, Sébastien Motsch
In this paper, we study the macroscopic limit of a new model of collective displacement. The model, called PTWA, is a combination of the Vicsek alignment model and the Persistent T…
A hierarchy of models related to nanoflows and surface diffusion
Kazuo Aoki, Pierre Charrier, Pierre Degond
In last years a great interest was brought to molecular transport problems at nanoscales, such as surface diffusion or molecular flows in nano or sub-nano-channels. In a series of…