Flow of electrorheological fluid under conditions of slip on the boundary.
Flowing over backward-facing steps with a cavity.
Fluid flow in collapsible elastic tubes: a three-dimensional numerical model.
Fluid flow in macromolecular systems and related perturbation problems
Fluid flow modeling in complex areas*, **
We show first results of 3D simulation of sea currents in a realistic context. We use the full Navier–Stokes equations for incompressible viscous fluid. The problem is solved using a second order incremental projection method associated with the finite volume of the staggered (MAC) scheme for the spatial discretization. After validation on classical cases, it is used in a numerical simulation of the Pointe à Pitre harbour area. The use of the fictious domain method permits us to take into account...
Fluid velocity profile reconstruction for non-Newtonian shear dispersive flow.
Fluid-dynamic equations for reacting gas mixtures
Starting from the Grad 13-moment equations for a bimolecular chemical reaction, Navier-Stokes-type equations are derived by asymptotic procedure in the limit of small mean paths. Two physical situations of slow and fast reactions, with their different hydrodynamic variables and conservation equations, are considered separately, yielding different limiting results.
Fluide idéal incompressible en dimension deux autour d’un obstacle fin
Nous étudions le comportement asymptotique des fluides incompressibles dans les domaines extérieurs, quand l’obstacle devient de plus en plus fin, tendant vers une courbe. Nous étendons les travaux d’Iftimie, Lopes Filho, Nussenzveig Lopes et Kelliher dans lesquels les auteurs considèrent des obstacles se contractant vers un point. En utilisant des outils de l’analyse complexe, nous détaillerons le cas des fluides idéaux en dimension deux autour d’une courbe. Nous donnerons ensuite, à titre indicatif,...
Fluides incompressibles à densité variable
On généralise aux fluides incompressibles à densité variable un certain nombre de résultats bien connus pour les équations de Navier-Stokes et d’Euler incompressibles.
Fluides incompressibles horizontalement visqueux
Motivé par l'étude des fluides tournants entre deux plaques, nous considérons l'équation tridimensionnelle de Navier-Stokes incompressible avec viscosité verticale nulle. Nous démontrons l'existence locale et l'unicité de la solution dans un espace critique (invariant par le changement d'échelle de l'équation). La solution est globale en temps si la donnée initiale est petite par rapport à la viscosité horizontale. Nous obtenons l'unicité de la solution dans un espace plus grand que l'espace des...
Fluides légèrement compressibles et limite incompressible
Fluid–particle shear flows
Our purpose is to estimate numerically the influence of particles on the global viscosity of fluid–particle mixtures. Particles are supposed to rigid, and the surrounding fluid is newtonian. The motion of the mixture is computed directly, i.e. all the particle motions are computed explicitly. Apparent viscosity, based on the force exerted by the fluid on the sliding walls, is computed at each time step of the simulation. In order to perform long–time simulations and still control the solid fraction,...
Fluid–particle shear flows
Our purpose is to estimate numerically the influence of particles on the global viscosity of fluid–particle mixtures. Particles are supposed to rigid, and the surrounding fluid is newtonian. The motion of the mixture is computed directly, i.e. all the particle motions are computed explicitly. Apparent viscosity, based on the force exerted by the fluid on the sliding walls, is computed at each time step of the simulation. In order to perform long–time simulations and still control the solid fraction,...
Fluids with anisotropic viscosity
Fluids with anisotropic viscosity
Motivated by rotating fluids, we study incompressible fluids with anisotropic viscosity. We use anisotropic spaces that enable us to prove existence theorems for less regular initial data than usual. In the case of rotating fluids, in the whole space, we prove Strichartz-type anisotropic, dispersive estimates which allow us to prove global wellposedness for fast enough rotation.
Fluid-structure interaction : analysis of a 3-D compressible model
Fokker-Planck equation in bounded domain
We study the existence and the uniqueness of a solution to the linear Fokker-Planck equation in a bounded domain of when is a “confinement” vector field. This field acting for instance like the inverse of the distance to the boundary. An illustration of the obtained results is given within the framework of fluid mechanics and polymer flows.
Fonctions de Lyapunov pour les équations de Navier-Stokes
Foreword. Low Mach number flows conference
Foreword [Proceedings of the Eighth International School on Mathematical Theory in Fluid Mechanics in memory of Professor Jindřich Nečas]