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Simone Deparis

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Related publications (52)

Reduced Numerical Approximation of Reduced Fluid-Structure Interaction Problems With Applications in Hemodynamics

This paper deals with fast simulations of the hemodynamics in large arteries by considering a reduced model of the associated fluid-structure interaction problem, which in turn allows an additional reduction in terms of the numerical discretisation. The re ...

2018

Application of the Rosenbrock methods to the solution of unsteady 3D incompressible Navier-Stokes equations

Michel Deville, Alfio Quarteroni, Simone Deparis, Luca Pegolotti, Filippo Menghini

We consider the Rosenbrock methods, namely a family of methods for Differential Algebraic Equations, for the solution of the unsteady three-dimensional Navier-Stokes equations. These multistage schemes are attractive for non-linear problems because they ac ...

2018

A numerical investigation of multi space reduced basis preconditioners for parametrized elliptic advection-diffusion equations

Simone Deparis, Andrea Manzoni, Niccolò Dal Santo

We analyze the numerical performance of a preconditioning technique recently proposed in [1] for the efficient solution of parametrized linear systems arising from the finite element (FE) discretization of parameter-dependent elliptic partial differential ...

Walter de Gruyter GmbH2017

A parallel algorithm for the solution of large-scale nonconforming fluid-structure interaction problems in hemodynamics

Alfio Quarteroni, Simone Deparis, Davide Forti

In this work we address the numerical solution of large scale fluid-structure interaction problems when nonconforming grids and⁄or nonconforming finite elements discretizations are used at the interface separating the fluid and structure physical domains. ...

Global Science Press2017

A Monolithic Approach to Fluid–Composite Structure Interaction

Simone Deparis, Annalisa Quaini, Davide Forti

We study a nonlinear fluid–structure interaction (FSI) problem between an incompressible, viscous fluid and a composite elastic structure consisting of two layers: a thin layer (membrane) in direct contact with the fluid, and a thick layer (3D linearly ela ...

Springer Verlag2017

Multiphysics Computational Modeling in C-Heart

Simone Deparis

From basic science to translation, modern biomedical research demands computational models which integrate several interacting physical systems. This paper describes the infrastructural framework for generic multiphysics integration implemented in the soft ...

Siam Publications2016

Parameter estimates for the Relaxed Dimensional Factorization preconditioner and application to hemodynamics

Alfio Quarteroni, Simone Deparis, Gwenol Grandperrin

We present new results on the Relaxed Dimensional Factorization (RDF) preconditioner for solving saddle point problems from incompressible flow simulations, first introduced in Benzi et al. (2011). This method contains a parameter α>0α>0, to be chosen by t ...

Elsevier2016

Numerical modeling of fluid-structure interaction in arteries with anisotropic polyconvex hyperelastic and anisotropic viscoelastic material models at finite strains

Alfio Quarteroni, Simone Deparis, Davide Forti

The accurate prediction of transmural stresses in arterial walls requires on the one hand robust and efficient numerical schemes for the solution of boundary value problems including fluid-structure interactions and on the other hand the use of a material ...

Wiley2016

INTERNODES: an accurate interpolation-based method for coupling the Galerkin solutions of PDEs on subdomains featuring non-conforming interfaces

Alfio Quarteroni, Simone Deparis, Davide Forti

We are interested in the approximation of partial differential equations on domains decomposed into two (or several) subdomains featuring non-conforming interfaces. The non-conformity may be due to different meshes and/or different polynomial degrees used ...

Elsevier2016

FaCSI: A block parallel preconditioner for fluid-structure interaction in hemodynamics

Alfio Quarteroni, Simone Deparis, Gwenol Grandperrin, Davide Forti

Modeling Fluid-Structure Interaction (FSI) in the vascular system is mandatory to reliably compute mechanical indicators in vessels undergoing large deformations. In order to cope with the computational complexity of the coupled 3D FSI problem after discre ...

Academic Press Inc Elsevier Science2016

Parallel subdomain solver strategies for the algebraic additive Schwarz preconditioner

Simone Deparis, Radu Popescu

Domain-decomposition (DD) methods are used in most, if not all, modern parallel implementations of finite element modeling software. In the solver stage, the algebraic additive Schwarz (AAS) domain-decomposition preconditioner represents a fundamental comp ...

Elsevier Science Bv2016

Coupled models for integrated heart simulations: a numerical study of the fluid dynamics in the left ventricle

Alfio Quarteroni, Simone Deparis, Luca Dede', Davide Forti, Antonello Gerbi

We consider the numerical simulation of integrated heart models for the study of the cardiac functioning with particular emphasis on the coupling of the muscle contraction, the fluid dynamics of the left ventricle, and the interaction with the valves. We a ...

CMBE, Zeta Computational Resources Ltd.2015

Fluid-structure interaction simulations of cerebral arteries modeled by isotropic and anisotropic constitutive laws

Alfio Quarteroni, Simone Deparis, Luca Dede', Paolo Tricerri, Adélia Sequeira

This paper considers numerical simulations of fluid-structure interaction (FSI) problems in hemodynamics for idealized geometries of healthy cerebral arteries modeled by both nonlinear isotropic and anisotropic material constitutive laws. In particular, it ...

Springer Verlag2015

A Rescaled Localized Radial Basis Function Interpolation On Non-Cartesian And Nonconforming Grids

Alfio Quarteroni, Simone Deparis, Davide Forti

In this paper we propose a rescaled localized radial basis function (RL-RBF) interpolation method, based on the use of compactly supported radial basis functions. Starting from the classical RBF interpolation technique, we introduce a rescaling that allows ...

Siam Publications2014

Comparisons 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 ...

Elsevier2014

Parallel preconditioners for the unsteady Navier-Stokes equations and applications to hemodynamics simulations

Alfio Quarteroni, Simone Deparis, Gwenol Grandperrin

We are interested in the numerical solution of the unsteady Navier-Stokes equations on large scale parallel architectures. We consider efficient preconditioners, such as the Pressure Convection-Diffusion (PCD), the Yosida preconditioner, the SIMPLE precond ...

Elsevier2014

Physiological simulation of blood flow in the aorta: comparison of hemodynamic indices as predicted by 3-D FSI, 3-D rigid wall and 1-D models

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

Interest in patient-specific blood-flow circulation modeling has increased substantially in recent years. The availability of clinical data for geometric and elastic properties together with efficient numerical methods has now made model rendering feasible ...

Elsevier2013

Implicit coupling of one-dimensional and three-dimensional blood flow models with compliant vessels

Alfio Quarteroni, Simone Deparis, Paolo Crosetto, Adelmo Cristiano Innocenza Malossi

Simulating arterial trees in the cardiovascular system can be made by the help of different models, depending on the outputs of interest and the desired degree of accuracy. In particular, one-dimensional fluid-structure interaction models for arteries are ...

Society for Industrial and Applied Mathematics2013

On the continuity of mean total normal stress in geometrical multiscale cardiovascular problems

Simone Deparis, Adelmo Cristiano Innocenza Malossi

In this work an iterative strategy to implicitly couple dimensionally-heterogeneous blood flow models accounting for the continuity of mean total normal stress at interface boundaries is developed. Conservation of mean total normal stress in the coupling o ...

Elsevier2013

Numerical simulation of left ventricular assist device implantations: comparing the ascending and the descending aorta cannulations

Alfio Quarteroni, Simone Deparis, Ludwig Von Segesser, Adelmo Cristiano Innocenza Malossi, Jean Bonnemain, Matteo Lesinigo

In this work we present numerical simulations of continuous flow left ventricle assist device implantation with the aim of comparing the ascending and the descending aorta anastomosis of outflow cannula. Despite the fact that the second approach is less in ...

Elsevier2013

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