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Hyper-reduced order models for parametrized unsteady Navier-Stokes equations on domains with variable shape

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We seek to study numerically two-phase flow phenomena with phase change through the finite-element method (FEM) and the arbitrary Lagrangian-Eulerian (ALE) framework. This method is based on the so-called one-fluid formulation; thus, only one set of equati ...

Taylor & Francis2014

Equal-order discontinuous finite volume element methods for the Stokes problem

Ricardo Esteban Ruiz Baier

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 ...

2014

Numerical study of Navier-Stokes problems with generalized Robin boundary conditions

Alessandro Samuele Patelli

The first goal of this project is to study a reduced order model for the Fluid-Structure Interaction (FSI) problem. We present the assumptions made to achieve the reduced order formulation and its fully discretized numerical scheme. One of the characterist ...

2013

Partitioned Algorithms for Fluid-Structure Interaction Problems in Haemodynamics

Fabio Nobile, Christian Vergara

We consider the fluid-structure interaction problem arising in haemodynamic applications. The finite elasticity equations for the vessel are written in Lagrangian form, while the Navier-Stokes equations for the blood in Arbitrary Lagrangian Eulerian form. ...

Birkhäuser-Verlag, Springer2012

A 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 Mathematics2012

Stabilized reduced basis approximation of incompressible three-dimensional Navier–Stokes equations in parametrized deformed domains

Simone Deparis

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 Verlag2012

Comparison of shape parametrization techniques for fluid-structure interaction problems

Davide Forti

This master thesis describes the development in the framework of Fluid- Structure Interaction (FSI) problems of an efficient and flexible technique treating the fluid-structure interface and mesh motion problems. The main idea is to build, through a new hi ...

2012

Geometric, variational discretization of continuum theories

Mathieu Desbrun

This study derives geometric, variational discretization of continuum theories arising in fluid dynamics, magnetohydrodynamics (MHD), and the dynamics of complex fluids. A central role in these discretizations is played by the geometric formulation of flui ...

2011

With economical energy market strategies based on instantaneous pricings of electricity as function of the demand or the predictions, operators harness more hydroelectric facilities to off-design operating points to cover the variations of the electricity ...

EPFL2011

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Tsamis A, Rachev A, Stergiopulos N. A constituent-based model of age-related changes in conduit arteries. Am J Physiol Heart Circ Physiol 301: H1286-H1301, 2011. First published July 1, 2011; doi: 10.1152/ajpheart.00570.2010.-In the present report, a const ...

2011