278 citations · 3.1k across the 101 of their papers we have counts for
4 papers · 2 filters
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 simulations of the Euler system with congestion constraint
Pierre Degond, Jiale Hua, Laurent Navoret
In this paper, we study the numerical simulations for Euler system with maximal density constraint. This model is developed in [1, 3] with the constraint introduced into the system…
Duality-based Asymptotic-Preserving method for highly anisotropic diffusion equations
Pierre Degond, Fabrice Deluzet, Alexei Lozinski +2
The present paper introduces an efficient and accurate numerical scheme for the solution of a highly anisotropic elliptic equation, the anisotropy direction being given by a variab…