Micro-macro models for viscoelastic fluids: modelling, mathematics and numerics

Claude Le Bris (1, 2) , Tony Lelièvre (1, 2)

1 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique
2 MICMAC - Methods and engineering of multiscale computing from atom to continuum

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 are provided. These notes closely follow the lectures delivered by the second author at the Chinese Academy of Science during the Workshop "Stress Tensor Effects on Fluid Mechanics", in January 2010.

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]

Claude Le Bris, Tony Lelièvre. Micro-macro models for viscoelastic fluids: modelling, mathematics and numerics. 2011. ⟨hal-00562325⟩