Publication
Construction of a High Order Fluid-Structure Interaction Solver
Related publications (41)
Development of a finite volume particle method for 3-D fluid flow simulations
François Avellan, Ebrahim Jahanbakhsh, Audrey Paulette Solange Maertens, Christian Vessaz
The Finite Volume Particle Method (FVPM) is a meshless method for simulating fluid flows which includes many of the desirable features of mesh-based finite volume methods. FVPM benefits from particle interaction vectors to weight conservative fluxes exchan ...
Elsevier2016Numerical homogenization methods for parabolic monotone problems
In this paper we review various numerical homogenization methods for monotone parabolic problems with multiple scales. The spatial discretisation is based on finite element methods and the multiscale strategy relies on the heterogeneous multiscale method. ...
2016Numerical homogenization methods for advection-diffusion and nonlinear monotone problems with multiple scales
Many applied problems, like transport processes in porous media or ferromagnetism in composite materials, can be modeled by partial differential equations (PDEs) with heterogeneous coefficients that rapidly vary at small scales. To capture the effective be ...
EPFL2015MATHICSE Technical Report: Numerical homogenization methods for parabolic monotone problems
In this paper we review various numerical homogenization methods for monotone parabolic problems with multiple scales. The spatial discretisation is based on finite element methods and the multiscale strategy relies on the heterogeneous multiscale method. ...
MATHICSE2015A Petrov-Galerkin reduced basis approximation of the Stokes equation in parameterized geometries
We present a Petrov-Galerkin reduced basis (RB) approximation for the parameterized Stokes equation. Our method, which relies on a reduced solution space and a parameter-dependent test space, is shown to be stable (in the sense of Babuska) and algebraicall ...
Elsevier2015Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012
This volume presents selected papers from the ninth International Conference on Spectral and High Order Methods (ICOSAHOM’12) conference that was held at Gammarth, Tunisia, during the week June 25–29, 2012. These selected papers were refereed by members of ...
Springer Verlag2014Finite elements in space and time for the analysis of generalised visco-elastic materials
Karen Scrivener, Cyrille Dunant, Alain Benjamin Giorla
Numerical analysis of linear visco-elastic materials requires robust and stable methods to integrate partial differential equations in both space and time. In this paper, symmetric space-time finite element operators are derived for the first time for elem ...
Wiley-Blackwell2014Isogeometric Analysis and error estimates for high order partial differential equations in Fluid Dynamics
Alfio Quarteroni, Luca Dede', Anna Tagliabue
In this paper, we consider the numerical approximation of high order Partial Differential Equations (PDEs) by means of NURBS-based Isogeometric Analysis (IGA) in the framework of the Galerkin method, for which global smooth basis functions with degree of c ...
Elsevier2014Reduced order modeling techniques for numerical homogenization methods applied to linear and nonlinear multiscale problems
The characteristic of effective properties of physical processes in heterogeneous media is a basic modeling and computational problem for many applications. As standard numerical discretization of such multiscale problems (e.g. with classical finite elemen ...
EPFL2013Accurate and efficient evaluation of failure probability for partial different equations with random input data
Several computational challenges arise when evaluating the failure probability of a given system in the context of risk prediction or reliability analysis. When the dimension of the uncertainties becomes high, well established direct numerical methods can ...
Elsevier Science Sa2013