Publications related to Mechanics

Quantitative convergence rates for scaling limit of SPDEs with transport noise

We consider on the torus the scaling limit of stochastic 2D (inviscid) fluid dynamics equations with transport noise to deterministic viscous equations. Quantitative estimates on the convergence rates are provided by combining analytic and probabilistic ar ...

Academic Press Inc Elsevier Science2024

Roughness Evolution Induced by Third-Body Wear

Jean-François Molinari, Antonio Joaquin Garcia Suarez, Tobias Brink

Surface roughness is a key factor when it comes to friction and wear, as well as to other physical properties. These phenomena are controlled by mechanisms acting at small scales, in which the topography of apparently flat surfaces is revealed. Roughness i ...

New York2024

Nonlinear simulation of plasma turbulence using a gyrokinetic moment-based approach

Antoine Cyril David Hoffmann

Plasma turbulence plays a fundamental role in determining the performances of magnetic confinement fusion devices, such as tokamaks. Advances in computer science, combined with the development of efficient physical models, have significantly improved our u ...

EPFL2024

Leveraging Continuous Time to Understand Momentum When Training Diagonal Linear Networks

Nicolas Henri Bernard Flammarion, Hristo Georgiev Papazov, Scott William Pesme

In this work, we investigate the effect of momentum on the optimisation trajectory of gradient descent. We leverage a continuous-time approach in the analysis of momentum gradient descent with step size

\gamma

and momentum parameter

\beta

that allows u ...

2024

Wave-momentum shaping for moving objects in heterogeneous and dynamic media

Romain Christophe Rémy Fleury, Matthieu Francis Malléjac, Bakhtiyar Orazbayev, Stefan Rotter

Light and sound waves can move objects through the transfer of linear or angular momentum, which has led to the development of optical and acoustic tweezers, with applications ranging from biomedical engineering to quantum optics. Although impressive manip ...

2024

Adaptive Finite Elements with Large Aspect Ratio. Application to Aluminium Electrolysis

Paride Passelli

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 ...

EPFL2024

Improvements to the dynamic wake meandering model by incorporating the turbulent Schmidt number

Fernando Porté Agel, Peter Andreas Brugger, Corey Dean Markfort

Predictions of the dynamic wake meandering model (DWMM) were compared to flow measurements of a scanning Doppler lidar mounted on the nacelle of a utility-scale wind turbine. We observed that the wake meandering strength of the DWMM agrees better with the ...

2024

SPACE-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 ...

Philadelphia2024

An improved analytical framework for flow prediction inside and downstream of wind farms

Fernando Porté Agel, Marwa Souaiby

This study evaluates available analytical wake models for flow prediction inside and downstream of wind farms of different sizes and layouts using large-eddy simulation (LES), and introduces an enhanced analytical framework. All the tested analytical wake ...

2024

WILD SOLUTIONS TO SCALAR EULER-LAGRANGE EQUATIONS

Carl Johan Peter Johansson

. We study very weak solutions to scalar Euler-Lagrange equations associated with quadratic convex functionals. We investigate whether W1,1 solutions are necessarily W 1,2 Nash and Schauder applicable. We answer this question positively for a suitable clas ...

Amer Mathematical Soc2024

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Quantitative convergence rates for scaling limit of SPDEs with transport noise

Roughness Evolution Induced by Third-Body Wear

Nonlinear simulation of plasma turbulence using a gyrokinetic moment-based approach

Leveraging Continuous Time to Understand Momentum When Training Diagonal Linear Networks

Wave-momentum shaping for moving objects in heterogeneous and dynamic media

Adaptive Finite Elements with Large Aspect Ratio. Application to Aluminium Electrolysis

Improvements to the dynamic wake meandering model by incorporating the turbulent Schmidt number

SPACE-TIME REDUCED BASIS METHODS FOR PARAMETRIZED UNSTEADY STOKES EQUATIONS

An improved analytical framework for flow prediction inside and downstream of wind farms

WILD SOLUTIONS TO SCALAR EULER-LAGRANGE EQUATIONS

Quantitative convergence rates for scaling limit of SPDEs with transport noise

Roughness Evolution Induced by Third-Body Wear

Nonlinear simulation of plasma turbulence using a gyrokinetic moment-based approach

Leveraging Continuous Time to Understand Momentum When Training Diagonal Linear Networks

SPACE-TIME REDUCED BASIS METHODS FOR PARAMETRIZED UNSTEADY STOKES EQUATIONS

Adaptive Finite Elements with Large Aspect Ratio. Application to Aluminium Electrolysis

Improvements to the dynamic wake meandering model by incorporating the turbulent Schmidt number

An improved analytical framework for flow prediction inside and downstream of wind farms

Wave-momentum shaping for moving objects in heterogeneous and dynamic media

WILD SOLUTIONS TO SCALAR EULER-LAGRANGE EQUATIONS