110 citations · 447 across the 17 of their papers we have counts for
19 papers
A Multispecies ESBGK Model for Gas Mixtures with Variable Hard Sphere Transport: Theory and Verification
Marcel Pfeiffer, Franziska Tuttas, Julien Mathiaud +1
A multi-species Bhatnagar-Gross-Krook (BGK) model for gas mixtures is presented that achieves the correct species-wise relaxation of velocities, temperatures, and pressure tensors…
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…
An ES-BGK model for diatomic gases with correct relaxation rates for internal energies
Julien Mathiaud, Luc Mieussens, Marcel Pfeiffer
We propose a new ES-BGK model for diatomic gases which allows for translational-rotational and translational-vibrational energy exchanges, as given by Landau-Teller and Jeans relax…
An ES-BGK model for vibrational polyatomic gases
Y Dauvois, J. Mathiaud, Luc Mieussens
We propose an extension of the Ellipsoidal-Statistical BGK model to account for discrete levels of vibrational energy in a rarefied polyatomic gas. This model satisfies an H-theore…
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…
An Eulerian model for sea spray transport and evaporation
Fabrice Veron, Luc Mieussens
Reliable estimates of the fluxes of momentum, heat, and moisture at the air-sea interface are essential for accurate long term climate projections, as well as the prediction of sho…
BGK and Fokker Planck Models for thermally perfect gases
J. Mathiaud, Luc Mieussens
We propose two models of the Boltzmann equation (BGK and Fokker-Planck models) for rarefied flows of thermally perfect gases. These models take into account various models of energ…
BGK and Fokker-Planck models of the Boltzmann equation for gases with discrete levels of vibrational energy
J. Mathiaud, Luc Mieussens
We propose two models of the Boltzmann equation (BGK and Fokker-Planck models) for rarefied flows of diatomic gases in vibrational non-equilibrium. These models take into account t…
A BGK model for high temperature rarefied gas flows
Céline Baranger, Yann Dauvois, Gentien Marois +3
High temperature gases, for instance in hypersonic reentry flows, show complex phenomena like excitation of rotational and vibrational energy modes, and even chemical reactions. Fo…
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…
A Fokker-Planck model of the Boltzmann equation with correct Prandtl number
J Mathiaud, L Mieussens
We propose an extension of the Fokker-Planck model of the Boltzmann equation to get a correct Prandtl number in the Compressible Navier-Stokes asymptotics. This is obtained by repl…
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…
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…
A Multiscale Kinetic-Fluid Solver with Dynamic Localization of Kinetic Effects
Pierre Degond, Giacomo Dimarco, Luc Mieussens
This paper collects the efforts done in our previous works [P. Degond, S. Jin, L. Mieussens, A Smooth Transition Between Kinetic and Hydrodynamic Equations, J. Comp. Phys., 209 (20…