Concept
Stokes flow
Related publications (685)
Noise-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 ...
2024Anomalous 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 ...
EPFL2024SPACE-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 ...
Philadelphia2024Painting Taylor vortices with cellulose nanocrystals: Suspension flow supercritical spectral dynamics
We study the flow stability and spatiotemporal spectral dynamics of cellulose nanocrystal (CNC) suspensions in a custom Taylor-Couette flow cell using the intrinsic shear induced birefringence and liquid crystalline properties of CNC suspensions for flow v ...
Aip Publishing2024Quantitative 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 Science2024Instability and trajectories of buoyancy-driven annular disks: A numerical study
François Gallaire, Pier Giuseppe Ledda, Giovanni Vagnoli
We investigate the stability of the steady vertical path and the emerging trajectories of a buoyancy -driven annular disk as the diameter of its central hole is varied. The steady and axisymmetric wake associated with the steady vertical path of the disk, ...
Amer Physical Soc2024Adaptive 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 ...
EPFL2024Impact of CO2-rich seawater injection on the flow properties of basalts
Lyesse Laloui, Eleni Stavropoulou, Cesare Griner
Permanent CO storage in basalts through mineralisation offers a promising solution for reducing carbon emissions and mitigating climate change. This study focuses on the impact of potential mineralisation on the flow properties of the basaltic material. Fl ...
2024Toward Wearable Biosensing by Spectroscopy-free Raman Shift Detection and Soft Optofluidics
This thesis introduces spectroscopy-free Raman biosensing, which may find increasing use in the next generation of wearable devices for preventive healthcare. While wearables have made substantial advancements in detecting physical biomarkers, they have ye ...
EPFL2024Numerical Analysis of Apparatus-Induced Dispersion for Density-Dependent Solute Transport in Porous Media
David Andrew Barry, Hong Zhang
The effects of apparatus-induced dispersion on nonuniform, density-dependent flow in a cylindrical soil column were investigated using a finite-element model. To validate the model, the results with an analytical solution and laboratory column test data we ...
2023