110 citations · 447 across the 17 of their papers we have counts for
9 papers · 1 filter
Generalized UGK scheme in the diffusive
Julien Mathiaud, Luc Mieussens, Nicolas Crouseilles
The unified gas kinetic scheme (UGKS) was initially designed to address multiscale challenges in rarefied gas dynamics and then extended to radiative transfert theory, as described…
An asymptotic preserving scheme for the M1model of non-local thermal transport for two-dimensional structured and unstructured meshes
Jean-Luc Feugeas, Julien Mathiaud, Luc Mieussens +1
The M1 moment model for electronic transport is commonly used to describe non-local thermal transport effects in laser-plasma simulations. In this article, we propose a new asympto…
An asymptotic preserving kinetic scheme for the M1 model of linear transport
Feugeas Jean-Luc, Mathiaud Julien, Mieussens Luc +1
Moment models with suitable closure can lead to accurate and computationally efficient solvers for particle transport. Hence, we propose a new asymptotic preserving scheme for the…
Numerical boundary conditions in Finite Volume and Discontinuous Galerkin schemes for the simulation of rarefied flows along solid boundaries
Céline Baranger, Nicolas Hérouard, Julien Mathiaud +1
We present a numerical comparison between two standard finite volume schemes and a discontinuous Galerkin method applied to the BGK equation of rarefied gas dynamics. We pay a part…
A Cartesian Cut Cell Method for Rarefied Flow Simulations around Moving Obstacles
Guillaume Dechristé, Luc Mieussens
For accurate simulations of rarefied gas flows around moving obstacles, we propose a cut cell method on Cartesian grids: it allows exact conservation and accurate treatment of boun…
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…
Analysis of an asymptotic preserving scheme for linear kinetic equations in the diffusion limit
Jian-Guo Liu, Luc Mieussens
We present a mathematical analysis of the asymptotic preserving scheme proposed in [M. Lemou and L. Mieussens, SIAM J. Sci. Comput., 31, pp. 334-368, 2008] for linear transport equ…