37 citations · 64 across the 8 of their papers we have counts for
9 papers
Fredholm Property of the Linearized Boltzmann Operator for a Polyatomic Single Gas Model
Stéphane Brull, Marwa Shahine, Philippe Thieullen
In the following work, we consider the Boltzmann equation that models a polyatomic gas by representing the microscopic internal energy by a continuous variable I. Under some conven…
Stationary Flows of the ES-BGK model with the correct Prandtl number
Stephane Brull, Seok-Bae Yun
Ellipsoidal BGK model (ES-BGK) is a generalized version of the BGK model where the local Maxwellian in the relaxation operator of the BGK model is extended to an ellipsoidal Gaussi…
Gas-surface interaction and boundary conditions for the Boltzmann equation
Stéphane Brull, Pierre Charrier, Luc Mieussens
In this paper we revisit the derivation of boundary conditions for the Boltzmann Equation. The interaction between the wall atoms and the gas molecules within a thin surface layer…
Local discrete velocity grids for deterministic rarefied flow simulations
Stéphane Brull, Luc Mieussens
Most of numerical methods for deterministic simulations of rarefied gas flows use the discrete velocity (or discrete ordinate) approximation. In this approach, the kinetic equation…
Numerical resolution of an anisotropic non-linear diffusion problem
Stéphane Brull, Fabrice Deluzet, Alexandre Mouton
This paper is devoted to the numerical resolution of an anisotropic non-linear diffusion problem involving a small parameter \varepsilon, defined as the anisotropy strength recipro…
Asymptotic-Preserving scheme for a bi-fluid Euler-Lorentz model
Stéphane Brull, Pierre Degond, Fabrice Deluzet +1
The present work is devoted to the simulation of a strongly magnetized plasma considered as a mixture of an ion fluid and an electron fluid. For the sake of simplicity, we assume t…