test_moissonnage_selune
type: Agent

Various theoretical and numerical issues related to the simulation of non-newtonian fluids
type: Dataset
contact point: Organization
  fn: CCSD
keyword: non-newtonian-fluids
keyword: methodes-delements-finis
keyword: theses
keyword: equations-aux-derivees-partielles
keyword: micro-macro-model
keyword: comportement-en-temps-long
keyword: vieillissement
keyword: infoeu-reposemanticsdoctoralthesis
keyword: modele-micro-macro
keyword: mathmath-gmmathematics-mathgeneral-mathematics-mathgm
keyword: finite-element-method
keyword: aging
keyword: partial-differential-equations
keyword: fluides-non-newtoniens
keyword: longtime-behaviour
landing page: https://pastel.hal.science/tel-00973407
description: This thesis is devoted to the modelling, the mathematical analysis and the simulation of non-Newtonian fluids. Some fluids in an intermediate liquid-solid phase are particularly considered: aging fluids. Modelling scales are macroscopic and mesoscopic. In Chapter 1, we introduce the models and give the main results obtained. In Chapter 2, we present numerical simulations of a macroscopic two-dimensional model. The finite element method used for discretization is described. For the flow past a cylinder test-case, phenomena at play in aging fluids are observed. The Chapter 3 contains a mathematical analysis of the one-dimensional version of the system of partial differential equations used for the simulations. We show well-posedness and investigate the longtime behaviour of the solution. In the last chapter, macroscopic equations are derived from a mesoscopic equation. The mathematical analysis of this mesoscopic equation is also carried out
identifier: NNT: 2014PEST1004
issued: 2026-05-05T09:48:00.686077
language: fr
modified: 2026-05-05T09:48:00.686081

Various theoretical and numerical issues related to the simulation of non-newtonian fluids
type: Distribution
access URL: https://pastel.hal.science/tel-00973407
format: HTML
issued: 2026-05-05T09:48:00.697646
modified: 2026-05-05T09:48:00.662032