Publication

A Petrov-Galerkin reduced basis approximation of the Stokes equation in parameterized geometries

Publications associées (25)

Model reduction techniques for fast blood flow simulation in parametrized geometries

Alfio Quarteroni, Gianluigi Rozza, Andrea Manzoni

In this paper we propose a new model reduction technique aimed at real-time blood flow simulations on a given family of geometrical shapes of arterial vessels. Our approach is based on the combination of a low-dimensional shape parametrization of the compu ...

Wiley2012

Transitional cylindrical swirling flow in presence of a flat free surface

David Lo Jacono, Roland Bouffanais

This article is devoted to the study of an incompressible viscous flow of a fluid partly enclosed in a cylindrical container with an open top Surface and driven by the constant rotation of the bottom wall. Such type of flows belongs to a group of recircula ...

2009

Coupling Biot and Navier-Stokes equations for modelling fluid-poroelastic media interaction

Alfio Quarteroni, Annalisa Quaini

The interaction between a fluid and a poroelastic structure is a complex problem that couples the Navier-Stokes equations with the Biot system. The finite element approximation of this problem is involved due to the fact that both subproblems are indefinit ...

Elsevier2009

Infinite dimensional geodesic flows and the universal Teichmüller space

François Gay-Balmaz

The subject of this thesis lies in the intersection of differential geometry and functional analysis, a domain usually called global analysis. A central object in this work is the group Ds(M) of all orientation preserving diffeomorphisms of a compact manif ...

EPFL2009

Simulation numérique de phénomènes MHD : application à l'électrolyse de l'aluminium

Gilles Steiner

The purpose of this thesis is the study, from the numerical simulation point of view, of the aluminum electrolysis process. Navier-Stokes equations for the computation of a two fluids flow with free interface are coupled with Maxwell equations describing t ...

EPFL2009