MOOC
Mécanique des Fluides
Publications associées (1 000)
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 ...
EPFL2024Noise-induced transitions past the onset of a steady symmetry-breaking bifurcation: The case of the sudden expansion
François Gallaire, Edouard Boujo, Yves-Marie François Ducimetière
We consider fluid flows, governed by the Navier-Stokes equations, subject to a steady symmetry-breaking bifurcation and forced by a weak noise acting on a slow timescale. By generalizing the multiple-scale weakly nonlinear expansion technique employed in t ...
2024Stochastic Simulations and Machine Learning Modeling to Predict Bedload Transport and Bed Topography
In computational hydraulics models, predicting bed topography and bedload transport with sufficient accuracy remains a significant challenge. An accurate assessment of a river's sediment transport rate necessitates a prior understanding of its bed topograp ...
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 Science2024Stability of a liquid layer draining around a horizontal cylinder: Interplay of capillary and gravity forces
François Gallaire, Shahab Eghbali, Simeon Vladimirov Djambov
We study the drainage of a viscous liquid film coating the outside of a solid horizontal cylinder, where gravity acts vertically. We focus on the limit of large Ohnesorge numbers Oh, where inertia is negligible compared to viscous effects. We first study t ...
Amer Physical Soc2024SPACE-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 ...
Philadelphia2024Quantitative 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 Science2024Anomalous 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 ...
EPFL2024Mean-field transport equations and energy theorem for plasma edge turbulent transport
This paper establishes a mean-field equation set and an energy theorem to provide a theoretical basis in view of the development of self-consistent, physics-based turbulent transport models for mean-field transport codes. A rigorous averaging procedure ide ...
Cambridge Univ Press2024Effects of Hyporheic Exchange and Settlement on the Particle Size Distribution of Colloids
David Andrew Barry, Qihao Jiang
Colloid particle size plays an important role in contaminant adsorption and clogging in the hyporheic zone, but it remains unclear how the particle size changes during the transport of colloids. This study investigated the variation of the particle size of ...
New York2024