Publication
On optimization, control and shape design of an arterial bypass
Related publications (34)
An adjoint-based approach to the optimal control of separated flows
Flow separation is relevant to many industrial applications, since it is detrimental to the aerodynamic performance of vehicles, induces vibrations in mechanical structures, but can also contribute to improve mixing in combustion devices. In this thesis, t ...
EPFL2014Comparisons between reduced order models and full 3D models for fluid-structure interaction problems in haemodynamics
Alfio Quarteroni, Simone Deparis, Claudia Maria Colciago
When modelling the cardiovascular system, the effect of the vessel wall on the blood flow has great relevance. Arterial vessels are complex living tissues and three-dimensional specific models have been proposed to represent their behaviour. The numerical ...
Elsevier2014Equal-order discontinuous finite volume element methods for the Stokes problem
The aim of this paper is to develop and analyze a one-parameter family of stabilized discontinuous finite volume element methods for the Stokes equations in two and three spatial dimensions. The proposed scheme is constructed using a baseline finite elemen ...
2014Reduced basis approximation and a posteriori error estimation for Stokes flows in parametrized geometries: roles of the inf-sup stability constants
Gianluigi Rozza, Andrea Manzoni
In this paper we review and we extend the reduced basis approximation and a posteriori error estimation for steady Stokes flows in affinely parametrized geometries, focusing on the role played by the Brezzi's and Babuska's stability constants. The crucial ...
Springer Verlag2013Shape optimization for viscous flows by reduced basis methods and free-form deformation
Alfio Quarteroni, Gianluigi Rozza, Andrea Manzoni
In this paper we further develop an approach previously introduced in [Lassila and Rozza, C.M.A.M.E 2010] for shape optimization that combines a suitable low-dimensional parametrization of the geometry (yielding a geometrical reduction) with reduced basis ...
Wiley-Blackwell2012Model 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 ...
2012A multiresolution method for the simulation of sedimentation in inclined channels
An adaptive multiresolution scheme is proposed for the numerical solution of a spatially two-dimensional model of sedimentation of suspensions of small solid particles dispersed in a viscous fluid. This model consists in a version of the Stokes equations f ...
2012A reduced basis model with parametric coupling for fluid-structure interaction problems
Alfio Quarteroni, Gianluigi Rozza, Toni Mikael Lassila
We present a new model reduction technique for steady fluid-structure interaction problems. When the fluid domain deformation is suitably parametrized, the coupling conditions between the fluid and structure can be formulated in the low-dimensional space o ...
Society for Industrial and Applied Mathematics2012Stabilized reduced basis approximation of incompressible three-dimensional Navier–Stokes equations in parametrized deformed domains
In this work we are interested in the numerical solution of the steady incompressible Navier-Stokes equations for fluid flow in pipes with varying curvatures and cross-sections. We intend to compute a reduced basis approximation of the solution, employing ...
Springer Verlag2012Reduced basis method for parametrized optimal control problems governed by PDEs
This master thesis aims at the development, analysis and computer implementation of effcient numerical methods for the solution of optimal control problems based on parametrized partial differential equations. Our goal isfto develop a new approach based on ...
2011