Unit
Picasso Group
GroupRelated publications (127)
Adaptive Finite Elements with Large Aspect Ratio. Application to Aluminium Electrolysis
The goal of this work is to use anisotropic adaptive finite elements for the numerical simulation of aluminium electrolysis. The anisotropic adaptive criteria are based on a posteriori error estimates derived for simplified problems. First, we consider an ...
EPFL2024A cut-cell method for the numerical simulation of 3D multiphase flows with strong interfacial effects
Marco Picasso, Alexandre Caboussat, Alexandre Masserey, Julien Hess
We present a numerical model for the approximation of multiphase flows with free surfaces and strong interfacial effects. The model relies on the multiphase incompressible Navier-Stokes equations, and includes surface tension effects on the interfaces betw ...
Academic Press Inc Elsevier Science2024Anisotropic 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 Gmbh2024A Fast Hybrid Pressure-Correction Algorithm for Simulating Incompressible Flows by Projection Methods
To enforce the conservation of mass principle, a pressure Poisson equation arises in the numerical solution of incompressible fluid flow using the pressure-based segregated algorithms such as projection methods. For unsteady flows, the pressure Poisson equ ...
2023An a posteriori error estimator for isogeometric analysis on trimmed geometries
Annalisa Buffa, Rafael Vazquez Hernandez, Ondine Gabrielle Chanon
Trimming consists of cutting away parts of a geometric domain, without reconstructing a global parametrization (meshing). It is a widely used operation in computer-aided design, which generates meshes that are unfitted with the described physical object. T ...
2022Blow-up, partial regularity and turbulence in incompressible fluid dynamics
Weak solutions arise naturally in the study of the Navier-Stokes and Euler equations both from an abstract regularity/blow-up perspective and from physical theories of turbulence. This thesis studies the structure and size of singular set of such weak solu ...
EPFL2022Nonsmooth and nonenergetic solutions of PDE’s through convex integration
In this Master thesis we explore the convex integration method by S. Müller and V. Šverák and its applications to partial differential equations. In particular, we use it to build very irregular solutions to elliptic systems. We also apply this method to b ...
2022Typicality results for weak solutions of the incompressible Navier-Stokes equations
Maria Colombo, Luigi De Rosa, Massimo Sorella
In this work we show that, in the class of L-infinity((0,T); L-2(T-3)) distributional solutions of the incompressible Navier-Stokes system, the ones which are smooth in some open interval of times are meagre in the sense of Baire category, and the Leray on ...
EDP SCIENCES S A2022Numerical Methods for First and Second Order Fully Nonlinear Partial Differential Equations
This thesis focuses on the numerical analysis of partial differential equations (PDEs) with an emphasis on first and second-order fully nonlinear PDEs. The main goal is the design of numerical methods to solve a variety of equations such as orthogonal maps ...
EPFL2021Numerical simulation of sediment dynamics with free surface flows
We present a numerical model for the simulation of 3D mono-dispersed sediment dynamics in a Newtonian flow with free surfaces. The physical model is a macroscopic model for the transport of sediment based on a sediment concentration with a single momentum ...
EPFL2021