Multi-fluid flows : mathematical analysis, modelling and simulation
type: Dataset
description: This thesis contains three independent parts.The first part presents a proof of existence of weak global solutions to a Vlasov-incompressible-Navier-Stokes system with variable density. This system is obtained formally from a classical Vlasov-incompressible-Navier-Stokes model with fragmentation for which only two values for the particules radii are considered: a radius r1 for non fragmented particules and a radius r2<<r1 for particules created by fragmentation. The asymptotic model is obtained in the limit r2 vanishing.The second part deals with the modeling of a wave impact on a rigid wall. The purpose of our work is to study and model the escape of the gas between the liquid and the wall. In the numerical model we have replaced the liquid wave with a solid mass, and developed an ALE-VFFC code for the numerical simulation of the system. Scaling the system of equations allows us to obtain the dimensionless numbers governing the escape phenomena. The mean escape velocity is compared to the velocity in the case of incompressible gas. Finally, a parametric study with respect to the dimensionless numbers is carried out.We present in the third part the principles of the coupling between an efficient numerical method for hyperbolic systems (and non conservative equations arising in multiphase flows), namely the FVCF scheme, on the one hand; and a particle method for the Vlasov-Boltzmann equation (of PIC-DSMC type), on the other hand. Numerical results illustrating this coupling are shown for a problem involving a spray (droplets inside an underlying gas) in a pipe which is mcdeled by a 1D fluid-kinetic system.
landing page: https://theses.hal.science/tel-00823095
identifier: NNT: 2012DENS0074
keyword: analyse-des-equations-aux-derivees-partielles
keyword: computational-fluid-dynamics
keyword: infoeu-reposemanticsdoctoralthesis
keyword: mathmath-gmmathematics-mathgeneral-mathematics-mathgm
keyword: modelisation
keyword: modelization
keyword: theses
keyword: volumes-finis
issued: 2026-05-11T03:09:10.375684
modified: 2026-05-11T03:09:10.375689
language: fr
contact point: Organization
  fn: CCSD

test_moissonnage_selune
type: Agent

Multi-fluid flows : mathematical analysis, modelling and simulation
type: Distribution
format: HTML
access URL: https://theses.hal.science/tel-00823095
issued: 2026-05-11T03:09:10.378302
modified: 2026-05-11T03:09:10.363901