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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 Science2024SPACE-TIME REDUCED BASIS METHODS FOR PARAMETRIZED UNSTEADY STOKES EQUATIONS
Simone Deparis, Riccardo Tenderini, Nicholas Mueller
In this work, we analyze space-time reduced basis methods for the efficient numerical simulation of haemodynamics in arteries. The classical formulation of the reduced basis (RB) method features dimensionality reduction in space, while finite difference sc ...
Philadelphia2024Anomalous dissipation and other non-smooth phenomena in fluids
The thesis is dedicated to the study of two main partial differential equations (PDEs) in fluid dynamics: the Navier-Stokes equations, which describe the motion of incompressible fluids, and the transport equation with divergence-free velocity fields, whic ...
EPFL2024Error assessment of an adaptive finite elements-neural networks method for an elliptic parametric PDE
Marco Picasso, Alexandre Caboussat, Maude Girardin
We present a finite elements-neural network approach for the numerical approximation of parametric partial differential equations. The algorithm generates training data from finite element simulations, and uses a data -driven (supervised) feedforward neura ...
Lausanne2024Experimental Investigation on Size-Effect of Rubble Stone Masonry Walls Under In-Plane Horizontal Loading: Overview and Preliminary Results
Katrin Beyer, Savvas Saloustros
Rubble stone masonry is a common construction typology of historical city centres and vernacular architecture. While past earthquakes have shown that it is one of the most vulnerable masonry construction typologies, there are few experimental campaigns giv ...
2024Modeling friction and wear using an adaptive discrete-continuum coupling
Manon Eugénie Voisin--Leprince
When two objects slide against each other, wear and friction occur at their interface. The accumulation of wear forms what is commonly referred to as a ``third-body''. Understanding third-body evolution has significant applications in industry, where contr ...
EPFL2024An integrated heart-torso electromechanical model for the simulation of electrophysiological outputs accounting for myocardial deformation
Alfio Quarteroni, Francesco Regazzoni
When generating in-silico clinical electrophysiological outputs, such as electrocardiograms (ECGs) and body surface potential maps (BSPMs), mathematical models have relied on single physics, i.e. of the cardiac electrophysiology (EP), neglecting the role o ...
Elsevier Science Sa2024Pseudo-Three-Dimensional Analytical Model of Linear Induction Motors for High-Speed Applications
Mario Paolone, André Hodder, Lucien André Félicien Pierrejean, Simone Rametti
Literature on linear induction motors (LIMs) has proposed several approaches to model the behavior of such devices for different applications. In terms of accuracy and fidelity, field analysis-based models are the most relevant. Closed-form or numerical so ...
2024A Streamline Upwind Petrov-Galerkin Reduced Order Method for Advection-Dominated Partial Differential Equations Under Optimal Control
Fabio Zoccolan, Gianluigi Rozza
In this paper we will consider distributed Linear-Quadratic Optimal Control Problems dealing with Advection-Diffusion PDEs for high values of the Peclet number. In this situation, computational instabilities occur, both for steady and unsteady cases. A Str ...
Walter De Gruyter Gmbh2024