5 papers · 1 filter
A variational approach to the derivation of reduced models for bubbly flows
Cosmin Burtea, David Gérard-Varet
In this paper, we derive reduced models for the motion of gas bubbles in an ambient inviscid liquid, using Hamilton's least action principle. We first explain how to recover from t…
Homogenization of stiff inclusions through network approximation
David Gérard-Varet, Alexandre Girodroux-Lavigne
We investigate the homogenization of inclusions of infinite conductivity, randomly stationary distributed inside a homogeneous conducting medium. A now classical result by Zhikov s…
On the correction to Einstein's formula for the effective viscosity
David Gérard-Varet, Amina Mecherbet
This paper is a follow-up of article [6], on the derivation of accurate effective models for viscous dilute suspensions. The goal is to identify an effective Stokes equation provid…
The influence of boundary conditions on the contact problem in a 3D Navier-Stokes Flow
David Gérard-Varet, Matthieu Hillairet, Chao Wang
We consider the free fall of a sphere above a wall in a viscous incompressible fluid. We investigate the influence of boundary conditions on the finite-time occurrence of contact b…
Computation of the drag force on a rough sphere close to a wall
David Gérard-Varet, Matthieu Hillairet
We consider the effect of surface roughness on solid-solid contact in a Stokes flow. Various models for the roughness are considered, and a unified methodology is given to derive t…