56 citations · 252 across the 12 of their papers we have counts for
9 papers · 1 filter
A robust, discrete-gradient descent procedure for optimisation with time-dependent PDE and norm constraints
Paul M Mannix, Calum S Skene, Didier Auroux +1
Many physical questions in fluid dynamics can be recast in terms of norm constrained optimisation problems; which in-turn, can be further recast as unconstrained problems on spheri…
Enhanced dynamo growth in nonhomogeneous conducting fluids
Florence Marcotte, Basile Gallet, Francois Pétrélis +1
We address magnetic-field generation by dynamo action in systems with inhomogeneous electrical conductivity and magnetic permeability. More specifically, we first show that the Tay…
A systematic route to subcritical dynamo branches
Paul M. Mannix, Yannick Ponty, Florence Marcotte
We demonstrate that the nonlinear optimisation of a finite-amplitude disturbance over a freely evolving and possibly even turbulent flow, can successfully identify subcritical dyna…
Density contrast matters for drop fragmentation thresholds at low Ohnesorge number
Florence Marcotte, Stéphane Zaleski
We address numerically the deformation and fragmentation dynamics of a single liquid drop subject to impulsive acceleration by a unidirectional gas stream. The density ratio betwee…
Impacts on viscous fluids: on ejecta, corolla and splashes
Florence Marcotte, Guy-Jean Michon, Thomas Séon +1
We investigate both experimentally and numerically the impact of liquid drops on deep pools of aqueous glycerol solutions with variable pool viscosity and air pressure. With this a…
Optimal heat transfer and optimal exit times
Florence Marcotte, Charles R. Doering, Jean-Luc Thiffeault +1
A heat exchanger can be modeled as a closed domain containing an incompressible fluid. The moving fluid has a temperature distribution obeying the advection-diffusion equation, wit…
Optimal mixing in two-dimensional stratified plane Poiseuille flow at finite Péclet and Richardson numbers
F. Marcotte, C. P. Caulfield
We consider the nonlinear optimisation of irreversible mixing induced by an initial finite amplitude perturbation of a statically stable density-stratified fluid. A constant pressu…
Dynamo generated by the centrifugal instability
Florence Marcotte, Christophe Gissinger
We present a new scenario for magnetic field amplification where an electrically conducting fluid is confined in a differentially rotating, spherical shell with thin aspect-ratio.…
The Equatorial Ekman Layer
Florence Marcotte, Emmanuel Dormy, Andrew Soward
The steady incompressible viscous flow in the wide gap between spheres rotating about a common axis at slightly different rates (small Ekman number E) has a long and celebrated his…