Christophe Prud'homme

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This article presents an overview of a unied framework for nite element and spectral element methods in 1D, 2D and 3D in C ++ called Life. The objectives of this framework are quite ambitious and could be expressed in various ways: (i) the creation of a versatile mathematical kernel allowing for solving easily problems using dierent techniques thus allowing(More)
— In this document, we present a parallel implementation in FreeFem++ of scal-able two-level domain decomposition methods. Numerical studies with highly heterogeneous problems are then performed on large clusters in order to assert the performance of our code.
A new framework for two-fluids flow using a Finite Element/Level Set method is presented and verified through the simulation of the rising of a bubble in a viscous fluid. This model is then enriched to deal with vesicles (which mimic red blood cells mechanical behavior) by introducing a Lagrange multiplier to constrain the inextensibility of the membrane.(More)
Domain decomposition methods are, alongside multigrid methods, one of the dominant paradigms in contemporary large-scale partial differential equation simulation. In this paper, a lightweight implementation of a theoretically and numerically scalable preconditioner is presented in the context of overlapping methods. The performance of this work is assessed(More)
This paper addresses the numerical approximation of Fluid Structure Interaction (FSI) problems through the Arbitrary Lagrangian Eulerian (ALE) framework, high order methods and a Dirichlet-Newmann approach for the coupling. The paper is divided in two main parts. The first part concerns the discretization method for the FSI problem. We introduce an improved(More)
Accuracy is critical if we are to trust simulation predictions. In settings such as fluid-structure interaction it is all the more important to obtain reliable results to understand, for example, the impact of pathologies on blood flows in the cardiovascular system. In this paper, we propose a computational strategy for simulating fluid structure(More)
In this work we propose some generic concepts to design a specific language for FV discretizations of PDEs allowing a fast prototyping of industrial and research codes. We shall focus on the capability of such concepts to describe and solve multi-physics problems. These concepts will be validated on a model problem that we will implement and compare with(More)
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