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Publications associées (49)

Numerical simulation of free surface incompressible liquid flows surrounded by compressible gas

Jacques Rappaz, Marco Picasso, Alexandre Caboussat

A numerical model for the three-dimensional simulation of liquid-gas flows with free surfaces is presented. The incompressible Navier-Stokes equations are assumed to hold in the liquid domain. In the gas domain, the velocity is disregarded, the pressure is ...

2005

A splitting method for the numerical simulation of free surface flows with sediment deposition and resuspension

Marco Picasso, Arwa Mrad

We present a numerical model for the simulation of 3D sediment transport in a Newtonian flow with free surfaces. The Navier-Stokes equations are coupled with the transport, deposition, and resuspension of the particle concentrations, and a volume-of-fluid ...

WILEY2022

An adaptive algorithm for the transport equation with time dependent velocity

Marco Picasso, Samuel Dubuis

An a posteriori error estimate is derived for the approximation of the transport equation with a time dependent transport velocity. Continuous, piecewise linear, anisotropic finite elements are used for space discretization, the Crank-Nicolson scheme schem ...

2020

On the use of anisotropic a posteriori error estimators for the adaptative solution of 3D inviscid compressible flows

Marco Picasso

This paper describes the use of an a posteriori error estimator to control anisotropic mesh adaptation for computing inviscid compressible flows. The a posteriori error estimator and the coupling strategy with an anisotropic remesher are first introduced. ...

2009

An Anisotropic Error Estimator For The Crank-Nicolson Method: Application To A Parabolic Problem

Marco Picasso

In this paper we derive two a posteriori upper bounds for the heat equation. A continuous, piecewise linear finite element discretization in space and the Crank-Nicolson method for the time discretization are used. The error due to the space discretization ...

2009

Anisotropic Adaptive Finite Elements for a p-Laplacian Problem

Marco Picasso, Paride Passelli

The p-Laplacian problem -del & sdot; ((mu + |del u|(p-2))del u) = f is considered, where mu is a given positive number. An anisotropic a posteriori residual-based error estimator is presented. The error estimator is shown to be equivalent, up to higher ord ...

Walter De Gruyter Gmbh2024

A posteriori error estimation for the steady Navier-Stokes equations in random domains

Fabio Nobile, Marco Picasso, Diane Sylvie Guignard

We consider finite element error approximations of the steady incompressible Navier-Stokes equations defined on a randomly perturbed domain, the perturbation being small. Introducing a random mapping, these equations are transformed into PDEs on a fixed re ...

Elsevier2017

Numerical Study Of An Anisotropic Error Estimator In The L-2(H-1) Norm For The Finite Element Discretization Of The Wave Equation

Marco Picasso

An anisotropic a posteriori error estimate is derived for a finite element discretization of the wave equation in two space dimensions. Only the error due to space discretization is considered, and the error estimates are derived in the nonnatural L-2(0, T ...

2010

A semi-Lagrangian splitting method for the numerical simulation of sediment transport with free surface flows

Marco Picasso, Alexandre Caboussat, Gilles Steiner, Arwa Mrad

We present a numerical model for the simulation of 3D poly-dispersed sediment transport in a Newtonian flow with free surfaces. The physical model is based on a mixture model for multiphase flows. The Navier-Stokes equations are coupled with the transport ...

PERGAMON-ELSEVIER SCIENCE LTD2018

Anisotropic Adaptive Finite Elements for an Elliptic Problem with Strongly Varying Diffusion Coefficient

Marco Picasso, Samuel Dubuis, Paride Passelli

The elliptic problem - div(mu del u) = f is considered, where mu > 0 is smooth but strongly varying. Anisotropic a posteriori error estimates are derived, the effectivity index being bounded above and below by two constants independent of the data f, mu, t ...

WALTER DE GRUYTER GMBH2022

A Space-Time Adaptive Algorithm to Illustrate the Lack of Collision of a Rigid Disk Falling in an Incompressible Fluid

Peter Wittwer, Marco Picasso, Samuel Dubuis

A space-time adaptive algorithm to solve the motion of a rigid disk in an incompressible Newtonian fluid is presented, which allows collision or quasi-collision processes to be computed with high accuracy. In particular, we recover the theoretical result p ...

WALTER DE GRUYTER GMBH2021

Anisotropic Error Estimates And Space Adaptivity For A Semidiscrete Finite Element Approximation Of The Transient Transport Equation

Marco Picasso

A stabilized semidiscrete finite element discretization of the transient transport equation is studied in the framework of anisotropic meshes. A priori and a posteriori error estimates are derived, the involved constants being independent of the mesh aspec ...

Siam Publications2013

Numerical Approximation Of Orthogonal Maps

Marco Picasso, Alexandre Caboussat, Dimitrios Gourzoulidis

Orthogonal maps are the solutions of the mathematical model of paper-folding, also called the origami problem. They consist of a system of first-order fully nonlinear equations involving the gradient of the solution. The Dirichlet problem for orthogonal ma ...

2019

An octree-based adaptive semi-Lagrangian VOF approach for simulating the displacement of free surfaces

Marco Picasso, Gilles Steiner, Viljami Henrikki Laurmaa

A numerical method based on an adaptive octree space discretization for the simulation of displacement of free surfaces is proposed and applied to 3D free surface flow problems. A VOF approach is combined with a mass-conserving semi-Lagrangian time-steppin ...

Elsevier2016

The High-Resolution Magnetic Camera: A Novel Sensor for Eddy Current Testing

Hannes Bleuler, Marco Picasso, Pavel Kejik, Roland Moser, David Florian Hippert

Eddy current techniques are often used to detect and, in some advanced applications, to characterize fatigue surface-breaking cracks appearing in mechanical parts. One of the major difficulties in this approach is to reliably separate the crack contributio ...

Ios Press2014

An anisotropic adaptive finite element algorithm for transonic viscous flows around a wing

Marco Picasso, Wissam Hassan

An adaptive finite element algorithm to compute transonic viscous flows around a wing is presented. The adaptive criteria is based on an anisotropic error estimator in the 115 semi-norm, justified for an advection-diffusion problem with stabilized finite e ...

Pergamon-Elsevier Science Ltd2015

Estimating the ice thickness of shallow glaciers from surface topography and mass-balance data with a shape optimization algorithm

Marco Picasso, Laurent Michel

A shape optimization algorithm is presented that estimates the ice thickness distribution within a three-dimensional, shallow glacier, given a transient surface geometry and a mass-balance distribution. The approach is based on the minimization of the surf ...

Pergamon-Elsevier Science Ltd2014

A stopping criterion for the conjugate gradient algorithm in the framework of anisotropic adaptive finite elements

Marco Picasso

We propose a simple stopping criterion for the conjugate gradient (CG) algorithm in the framework of anisotropic, adaptive finite elements for elliptic problems. The goal of the adaptive algorithm is to find a triangulation such that the estimated relative ...

2009

Characterization of Surface Cracks Through The Local Magnetic Field Induced by Eddy Currents

Hannes Bleuler, Marco Picasso, Pavel Kejik, Roland Moser, David Florian Hippert

It is important to reliably characterize cracks in metallic mechanical parts in order to assess the serenity of damage due to fatigue. The most important parameter for this is the crack depth. This is notoriously difficult with standard Eddy current techni ...

Ios Press2014

An adaptive algorithm for the Crank-Nicolson scheme applied to a time-dependent convection-diffusion problem

Marco Picasso

An a posteriori upper bound is derived for the nonstationary convection-diffusion problem using the Crank-Nicolson scheme and continuous, piecewise linear stabilized finite elements with large aspect ratio. Following Lozinski et al. (2009) [13], a quadrati ...

Elsevier2009