An asymptotic preserving kinetic scheme for the M1 model of linear transport

Autor: Jean-Luc, Feugeas, Julien, Mathiaud, Luc, Mieussens, Thomas, Vigier

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 M1 model of linear transport that works uniformly for any Knudsen numb

Externí odkaz: http://arxiv.org/abs/2305.02804

A Fokker–Planck Model of the Boltzmann Equation with Correct Prandtl Number for Polyatomic Gases

Autor: Julien Mathiaud, Luc Mieussens

Publikováno v: Journal of Statistical Physics. 168:1031-1055

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 for polyatomic gases. This is obtained by replacing the diffusion coefficient (which is the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8682b0b2b3df0db3ab978c195ec0ca5a
https://doi.org/10.1007/s10955-017-1837-4

Numerical boundary conditions in Finite Volume and Discontinuous Galerkin schemes for the simulation of rarefied flows along solid boundaries

Autor: Céline Baranger, Nicolas Hérouard, Luc Mieussens, Julien Mathiaud

Publikováno v: Mathematics and Computers in Simulation
Mathematics and Computers in Simulation, Elsevier, 2019, 159, pp.136-153. ⟨10.1016/j.matcom.2018.11.011⟩
Mathematics and Computers in Simulation, 2019, 159, pp.136-153. ⟨10.1016/j.matcom.2018.11.011⟩

International audience; 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 particular attention to the numerical boundary con

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b0c83595dd56bd47b6af7193babf42f1
http://hdl.handle.net/20.500.12278/8813

Microstructure and gas-surface interaction studies of a 3D carbon/carbon composite in atmospheric entry plasma

Autor: C. Levet, Gerard L. Vignoles, J. Couzi, Bernd Helber, J.-B. Gouriet, Olivier Chazot, Julien Mathiaud

Publikováno v: Carbon
Carbon, Elsevier, 2017, 114, pp.84-97. ⟨10.1016/j.carbon.2016.11.054⟩
Carbon, 2017, 114, pp.84-97. ⟨10.1016/j.carbon.2016.11.054⟩

3D Carbon-fiber reinforced carbon composites (3D C f / C ) are widely used as thermostructural protections in various applications. Among them, thermal protection systems for atmospheric re-entry encounter one of the most aggressive environments, whe

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::990976b0906be68a0924cffd9c91a0e1
http://hdl.handle.net/20.500.12278/110136

Modelling of an Homogeneous Equilibrium Mixture Model (HEM)

Autor: A. Bernard-Champmartin, J. M. Ghidaglia, Olivier Poujade, Julien Mathiaud

Publikováno v: Acta Applicandae Mathematicae. 129:1-21

We present here a model for two phase flows which is simpler than the 6-equations models (with two densities, two velocities, two temperatures) but more accurate than the standard mixture models with 4 equations (with two densities, one velocity and

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::de32733eb0c24d789ba18ec93680676d
https://doi.org/10.1007/s10440-013-9827-2