Simone Deparis

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Publications associées (52)

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

A two-level time step technique for the partitioned solution of one-dimensional arterial networks

Simone Deparis, Adelmo Cristiano Innocenza Malossi

In this work a numerical strategy to address the solution of the blood flow in one-dimensional arterial networks through a topology-based decomposition is presented. Such decomposition results in the local analysis of the blood flow in simple arterial segm ...

Elsevier2012

Parallel Algorithms for Fluid-Structure Interaction Problems in Haemodynamics

Alfio Quarteroni, Simone Deparis, Gilles Fourestey, Paolo Crosetto

The increasing computational load required by most applications and the limits in hardware performances affecting scientific computing contributed in the last decades to the development of parallel software and architectures. In Fluid-Structure Interaction ...

2011

Fluid Structure Interaction Simulations of Physiological Blood Flow in the Aorta

Nikolaos Stergiopoulos, Alfio Quarteroni, Simone Deparis, Philippe Reymond, Paolo Crosetto, Dimitrios Kontaxakis

The numerical tools to simulate blood flow in the cardiovascular system are constantly developing due to the great clinical interest and to scientific advances in mathematical models and computational power. The present work aims to address and validate ne ...

Elsevier2011

Algorithms for the partitioned solution of weakly coupled fluid models for cardiovascular flows

Alfio Quarteroni, Simone Deparis, Adelmo Cristiano Innocenza Malossi

The main goal of this work is to devise robust iterative strategies to partition the solution of the Navier-Stokes equations in a three-dimensional (3D) domain, into non overlapping 3D subdomains, which communicate through the exchange of averaged/integrat ...

Wiley2011

Reduced Basis Methods and A Posteriori Error Estimators for Heat Transfer Problems

Simone Deparis, Gianluigi Rozza

This paper focuses on the parametric study of steady and unsteady forced and natural convection problems by the certified reduced basis method. These problems are characterized by an input-output relationship in which given an input parameter vector — mate ...

ASME2009

Reduced basis method for multi-parameter dependent steady Navier-Stokes equations: applications to natural convection in a cavity

Simone Deparis, Gianluigi Rozza

This work focuses on the approximation of parametric steady Navier-- Stokes equations by the reduced basis method. For a particular instance of the parameters under consideration, we are able to solve the underlying partial differential equations, compute ...

2009

An Efficient Discretization of the Navier–Stokes Equations in an Axisymmetric Domain. Part 1: The Discrete Problem and its Numerical Analysis

Simone Deparis

Any solution of the Navier–Stokes equations in a three-dimensional axisymmetric domain admits a Fourier expansion with respect to the angular variable, and it can be noted that each Fourier coefficient satisfies a variational problem on the meridian domain ...

2006

Weighted Clément operator and application to the finite element discretization of the axisymmetric Stokes problem

Simone Deparis

We consider the Stokes problem in an axisymmetric three-dimensional domain with data which are axisymmetric and have angular component equal to zero. We observe that the solution is also axisymmetric and the velocity has also zero angular component, hence ...

Springer2006

A domain decomposition framework for fluid-structure interaction problems

Alfio Quarteroni, Simone Deparis, Marco Discacciati

In this note we review some classical algorithms for fluid-structure interaction problems and we propose an alternative viewpoint mutuated from the domain decomposition theory. This approach yields preconditioned Richardson iterations on the Steklov-Poinca ...

2006

A truncated Fourier/finite element discretization of the Stokes equations in an axisymmetric domain

Simone Deparis

We consider the Stokes problem in a three-dimensional axisymmetric domain and, by writing the Fourier expansion of its solution with respect to the angular variable, we observe that each Fourier coefficient satisfies a system of equations on the meridian d ...

2006

Fluid-structure algorithms based on Steklov-Poincaré operators

Alfio Quarteroni, Simone Deparis, Marco Discacciati, Gilles Fourestey

In this paper we review some classical algorithms for fluid-structure interaction problems and we propose an alternative viewpoint mutuated from the domain decomposition theory. This approach yields preconditioned Richardson iterations on the Steklov-Poinc ...

2006

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