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Reduced basis approximation of parametrized optimal flow control problems for the Stokes equations

Publications associées (35)

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Transitional cylindrical swirling flow in presence of a flat free surface

Roland Bouffanais, David Lo Jacono

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

Optimal flow control for Navier-Stokes equations: drag minimization

Luca Dede'

Optimal control and shape optimization techniques have an increasing role in Fluid Dynamics problems governed by partial differential equations (PDEs). In this paper, we consider the problem of drag minimization for a body in relative motion in a fluid by ...

Wiley-Blackwell2007

Simulation of shear-driven flows

Roland Bouffanais

The research work reported in the present dissertation is aimed at the analysis of complex physical phenomena involving instabilities and nonlinearities occurring in fluids through state-of-the-art numerical modeling. Solutions of intricate fluid physics p ...

EPFL2007

Vector potential - Vorticity relationship for the Stokes flows. Application to the Stokes eigenmodes in 2D/3D closed domain

Emmanuel Leriche

The core dynamics of the Stokes eigenmodes subjected to satisfy no-slip boundary conditions on any 2D closed contour, or 3D surface, is shown to be characterized by a linear differential functional relationship between the vector potential and vorticity, $ ...

2007

Spectral Methods

Alfio Quarteroni

Spectral methods, particularly in their multidomain version, have become firmly established as a mainstream tool for scientific and engineering computation. While retaining the tight integration between the theoretical and practical aspects of spectral met ...

Springer2007

Reduced Navier-Stokes equations near a flow boundary

Jan Sickmann Hesthaven

We derive a hierarchy of PDEs for the leading-order evolution of wall-based quantities, such as the-skin-friction and the wall-pressure gradient, in two-dimensional fluid flows. The resulting Reduced Navier-Stokes (RNS) equations are defined on the boundar ...

Elsevier2006

A stabilized non-conforming finite element method for incompressible flow

Erik Burman

In this paper we extend the recently introduced edge stabilization method to the case of non-conforming finite element approximations of the linearized Navier-Stokes equation. To get stability also in the convective dominated regime we add a term giving

2006

On optimization, control and shape design of an arterial bypass

Gianluigi Rozza

Multi-level geometrical approaches in the study of aorto-coronaric bypass anastomoses configurations are discussed. The theory of optimal control based on adjoint formulation is applied in order to optimize the shape of the incoming branch of the bypass (t ...

2005

Shape design by optimal flow control and reduced basis techniques

Gianluigi Rozza

The purpose of this thesis is to develop numerical methods for optimization, control and shape design in computational fluid dynamics, more precisely in haemodynamics. The application studied is related with the shape optimization of an aorto-coronaric byp ...

EPFL2005

Computational fluid dynamics for naval engineering problems

Nicola Parolini

The subject of this thesis is the numerical simulation of viscous free-surface flows in naval engineering applications. State-of-the-art numerical methods based on the solution of the Navier-Stokes equations are used to predict the flow around different cl ...

EPFL2004