357 citations · 1.7k across the 74 of their papers we have counts for
5 papers · 1 filter
Macroscopic limit of a one-dimensional model for aging fluids
David Benoit, Claude Le Bris, Tony Lelièvre
We study a one-dimensional equation arising in the multiscale modeling of some non-Newtonian fluids. At a given shear rate, the equation provides the instantaneous mesoscopic respo…
Mathematical Analysis of Temperature Accelerated Dynamics
David Aristoff, Tony Lelièvre
We give a mathematical framework for temperature accelerated dynamics (TAD), an algorithm proposed by M.R. Sørensen and A.F. Voter to efficiently generate metastable stochastic dyn…
Derivation of Langevin Dynamics in a Nonzero Background Flow Field
Matthew Dobson, Frédéric Legoll, Tony Lelièvre +1
We propose a derivation of a nonequilibrium Langevin dynamics for a large particle immersed in a background flow field. A single large particle is placed in an ideal gas heat bath…
Micro-macro models for viscoelastic fluids: modelling, mathematics and numerics
C. Le Bris, T. Lelièvre
This paper is an introduction to the modelling of viscoelastic fluids, with an emphasis on micro-macro (or multiscale) models. Some elements of mathematical and numerical analysis…
A numerical closure approach for kinetic models of polymeric fluids: exploring closure relations for FENE dumbbells
Giovanni Samaey, Tony Lelievre, Vincent Legat
We propose a numerical procedure to study closure approximations for FENE dumbbells in terms of chosen macroscopic state variables, enabling to test straightforwardly which macrosc…