A survey of deterministic solvers for rarefied flows

L Mieussens - AIP Conference Proceedings, 2014 - pubs.aip.org
Numerical simulations of rarefied gas flows are generally made with DSMC methods. Up to
a recent period, deterministic numerical methods based on a discretization of the Boltzmann …

Convergence of a semi-Lagrangian scheme for the ellipsoidal BGK model of the Boltzmann equation

G Russo, SB Yun - SIAM Journal on Numerical Analysis, 2018 - SIAM
The ellipsoidal Bhatnagar-Gross-Krook (BGK) model is a generalized version of the original
BGK model designed to reproduce the physical Prandtl number in the Navier--Stokes limit …

[PDF][PDF] Unsteady charged gas motion in a microgap between a stationary plate and a plate moving with damping velocity depends on time

TZA Wahid - Proceedings of the Fifth International Conference on …, 2015 - researchgate.net
Unsteady motion of a charged gas between two parallel plates is investigated in the case
where one of the plates movies with a velocity damping with time. A kinetic-theoretic …

[PDF][PDF] Unsteady Electron Gas Motion in a Microgap Between a Stationary Plate and a Plate Oscillating With Time

TZA Wahid - Proceedings of the Fifth International Conference on …, 2015 - researchgate.net
Unsteady motion of a charged gas between two parallel plates is investigated in the case
where one of the plates oscillating with time. A kinetic-theoretic approach is employed under …

Long-time behavior of a point mass in a one-dimensional viscous compressible fluid and pointwise estimates of solutions

K Koike - Journal of Differential Equations, 2021 - Elsevier
We consider the motion of a point mass in a one-dimensional viscous compressible
barotropic fluid. The fluid–point mass system is governed by the barotropic compressible …

Motion of a rigid body in a special Lorentz gas: loss of memory effect

K Koike - Journal of Statistical Physics, 2018 - Springer
Linear motion of a rigid body in a special kind of Lorentz gas is mathematically analyzed.
The rigid body moves against gas drag according to Newton's equation. The gas model is a …

Slow approach to steady motion of a concave body in a free-molecular gas

T Tsuji, J Arai, S Kawano - Physical Review E, 2015 - APS
A body in a free-molecular gas accelerated by a constant external force is considered on the
basis of kinetic theory. The body is an infinitely long rectangular hollow column with one face …

Uniqueness of solutions to a gas-disk interaction system

A Iatcenko, W Sun - Archive for Rational Mechanics and Analysis, 2020 - Springer
In this paper we give an elementary proof of the uniqueness of solutions to a gas-disk
interaction system with diffusive boundary condition. The existence of near-equilibrium …

Motion of a body immersed in a Vlasov system

P Buttà, G Cavallaro, C Marchioro, P Buttà… - Mathematical Models of …, 2015 - Springer
In this chapter we study the motion of a body immersed in a Vlasov system. Such a choice
for the medium allows to overcome problems connected to the irregular motion of the body …

[引用][C] Moving boundary problems in kinetic theory of gases: Spatially one-dimensional problems

K Aoki, T Tsuji - Séminaire Laurent Schwartz—EDP et applications