110 citations · 447 across the 17 of their papers we have counts for
4 papers · 1 filter
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…
Locally refined discrete velocity grids for stationary rarefied flow simulations
Céline Baranger, Jean Claudel, Nicolas Hérouard +1
Most of deterministic solvers for rarefied gas dynamics use discrete velocity (or discrete ordinate) approximations of the distribution function on a Cartesian grid. This grid must…
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…
On the Asymptotic Preserving property of the Unified Gas Kinetic Scheme for the diffusion limit of linear kinetic models
Luc Mieussens
The unified gas kinetic scheme (UGKS) of K. Xu et al. [K. Xu and J.-C. Huang, J. Comput. Phys., 229, pp. 7747--7764, 2010], originally developed for multiscale gas dynamics problem…