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

TL;DR

This paper introduces micro-macro models for viscoelastic fluids, covering modeling, mathematical analysis, and numerical methods, based on lectures from a 2010 workshop, to enhance understanding of multiscale fluid behavior.

Contribution

It provides an overview of micro-macro modeling approaches for viscoelastic fluids, integrating mathematical and numerical analysis insights.

Findings

Provides foundational modeling techniques for viscoelastic fluids

Includes mathematical analysis of micro-macro models

Discusses numerical methods for simulating viscoelastic fluid behavior

Abstract

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.