36 citations · 130 across the 17 of their papers we have counts for
12 papers · 1 filter
Hybrid Kinetic/Fluid numerical method for the Vlasov-Poisson-BGK equation in the diffusive scaling
Tino Laidin, Thomas Rey
This short note presents an extension of the hybrid, model-adaptation method introduced in [T.~Laidin, \textit{arXiv 2202.03696}, 2022] for linear collisional kinetic equations in…
On Deterministic Numerical Methods for the Quantum Boltzmann-Nordheim Equation. I. Spectrally Accurate Approximations, Bose-Einstein Condensation, Fermi-Dirac Saturation
Alexandre Mouton, Thomas Rey
Spectral methods, thanks to their high accuracy and the possibility to use fast algorithms, represent an effective way to approximate the collisional kinetic equations of Boltzmann…
Projective and Telescopic Projective Integration for Non-Linear Kinetic Mixtures
Rafael Bailo, Thomas Rey
We propose fully explicit projective integration and telescopic projective integration schemes for the multispecies Boltzmann and Bhatnagar-Gross-Krook (BGK) equations. The methods…
Moment preserving Fourier-Galerkin spectral methods and application to the Boltzmann equation
Lorenzo Pareschi, Thomas Rey
Spectral methods, thanks to the high accuracy and the possibility of using fast algorithms, represent an effective way to approximate collisional kinetic equations in kinetic theor…
On the stability of equilibrium preserving spectral methods for the homogeneous Boltzmann equation
Lorenzo Pareschi, Thomas Rey
Spectral methods, thanks to the high accuracy and the possibility to use fast algorithms, represent an effective way to approximate the Boltzmann collision operator. On the other h…
Hypocoercivity and diffusion limit of a finite volume scheme for linear kinetic equations
Marianne Bessemoulin-Chatard, Maxime Herda, Thomas Rey
In this article, we are interested in the asymptotic analysis of a finite volume scheme for one dimensional linear kinetic equations, with either Fokker-Planck or linearized BGK co…
Projective integration for nonlinear BGK kinetic equations
Ward Melis, Thomas Rey, Giovanni Samaey
We present a high-order, fully explicit, asymptotic-preserving projective integration scheme for the nonlinear BGK equation. The method first takes a few small (inner) steps with a…
An efficient numerical method for solving the Boltzmann equation in multidimensions
Giacomo Dimarco, Raphaël Loubère, Jacek Narski +1
In this paper we deal with the extension of the Fast Kinetic Scheme (FKS) [J. Comput. Phys., Vol. 255, 2013, pp 680-698] originally constructed for solving the BGK equation, to the…
An Exact Rescaling Velocity Method for some Kinetic Flocking Models
Thomas Rey, Changhui Tan
In this work, we discuss kinetic descriptions of flocking models, of the so-called Cucker-Smale and Motsch-Tadmor types. These models are given by Vlasov-type equations where the i…
On steady-state preserving spectral methods for homogeneous Boltzmann equations
Francis Filbet, Lorenzo Pareschi, Thomas Rey
In this note, we present a general way to construct spectral methods for the collision operator of the Boltzmann equation which preserves exactly the Maxwellian steady-state of the…
A Hierarchy of Hybrid Numerical Methods for Multi-Scale Kinetic Equations
Francis Filbet, Thomas Rey
In this paper, we construct a hierarchy of hybrid numerical methods for multi-scale kinetic equations based on moment realizability matrices, a concept introduced by Levermore, Mor…
Convolutive decomposition and fast summation methods for discrete-velocity approximations of the Boltzmann equation
Clément Mouhot, Lorenzo Pareschi, Thomas Rey
Discrete-velocity approximations represent a popular way for computing the Boltzmann collision operator. The direct numerical evaluation of such methods involve a prohibitive cost,…