98 citations · 487 across the 25 of their papers we have counts for
25 papers
Direct numerical simulation of quasi-two-dimensional MHD turbulent shear flows
Long Chen, Alban Pothérat, Ming-Jiu Ni +1
Direct numerical simulations (DNS) are performed to study the turbulent shear flow of an electrically conducting fluid in a cylindrical container. The flow is driven by the interac…
PIV mapping of pressure and velocity fields in the plane magnetohydrodynamic Couette flow
Brahim Moudjed, Alban Pothérat, Martin Holdsworth
We present the first simultaneous mapping of two-dimensional, time-dependent velocity and pressure fields in a plane Couette flow pervaded by a transverse magnetic field. While ele…
An effective two-dimensional model for MHD flows with transverse magnetic field
Alban Pothérat, Joël Sommeria, René Moreau
This paper presents a model for quasi two-dimensional MHD flows between two planes with small magnetic Reynolds number and constant transverse magnetic field orthogonal to the plan…
2D models for MHD flows
Alban Pothérat, Joël Sommeria, René Moreau
A new model is proposed for low MHD flows which remain turbulent even in the presence of a magnetic field. These flows minimize the Joule dissipation because of their tendency…
Numerical simulations of an effective two-dimensional model for flows with a transverse magnetic field
Alban Pothérat, Joël Sommeria, René Moreau
This paper presents simulations of the 2d model developed by Pothérat at al (\emph{J. Fluid Mech}, 2000) for MHD flows between two planes with a strong transverse homogeneous and s…
Effective boundary conditions for magnetohydrodynamic flows with thin Hartmann layers
Alban Pothérat, Joël Sommeria, René Moreau
Here we build some effective boundary conditions to be used in numerical calculations in order to avoid the thin meshing usually required in problems involving Hartmann layers near…
Small scales and anisotropy in low magnetohydrodynamic turbulence
Alban Pothérat, Thierry Alboussière
In this paper, we derive estimates for size of the small scales and the attractor dimension in low magnetohydrodynamic turbulence by deriving a rigorous upper bound of the dim…
Mathematical estimates for the attractor dimension in MHD turbulence
Alban Pothérat, Thierry Alboussière
The aim of the present work is to derive rigorous estimates for turbulent MHD flow quantities such as the size and anisotropy of the dissipative scales, as well as the transition b…
A note on Bödewadt-Hartmann layers
Peter A. Davidson, Alban Pothérat
This paper addresses the problem of axisymetric rotating flows bounded by a fixed horizontal plate and subject to a permanent, uniform, vertical magnetic field (the so-called Bödew…
Quasi-two dimensional perturbations in duct flows under transverse magnetic field
Alban Pothérat
Inspired by the experiment from Moresco \& Alboussière (2004, J. Fluid Mech.), we study the stability of a liquid metal flow in a rectangular, electrically insulating duct with a s…
Bounds on the attractor dimension for low-R m wall-bound magnetohydrodynamic turbulence
Alban Pothérat, Thierry Alboussière
Steady Low MHD turbulence is investigated here through estimates of upper bounds for attractor dimension. A flow between two parallel walls with an imposed perpendicular magn…
A shallow water model for magnetohydrodynamic flows with turbulent Hartmann layers
Alban Pothérat, Jean-Philippe Schweitzer
We establish a shallow water model for flows of electrically conducting fluids in homogeneous static magnetic fields that are confined between two parallel planes where turbulent H…
Mixed baroclinic convection in a cavity
Abhishek Kumar, Alban Pothérat
We study the convective patterns that arise in a nearly semi-cylindrical cavity fed in with hot fluid at the upper boundary, bounded by a cold, porous semi-circular boundary at the…
Linear transient growth of particulate pipe flows
Anthony Rouquier, Alban Potherat, Chris C. T. Pringle
We tackle the question of whether the presence of particles in a pipe flow can influence the linear transient growth of infinitesimal perturbations, in view of better understanding…
Mean flow anisotropy without waves in rotating turbulence
J. A. Brons, P. J. Thomas, A. Potherat
We tackle the question of how anisotropy in flows subject to background rotation favours structures elongated along the rotation axis, especially in turbulent flows. A new, wave-fr…
From three-dimensional to quasi-two-dimensional: Transient growth in magnetohydrodynamic duct flows
Oliver G. W. Cassells, Tony Vo, Alban Pothérat +1
This study seeks to elucidate the linear transient growth mechanisms in a uniform duct with square cross-section applicable to flows of electrically conducting fluids under the inf…
Instability of particulate pipe flow
Anthony Rouquier, Alban Potherat, Chris Pringle
We present linear stability analysis for a simple model of particle-laden pipe flow. The model consists of a continuum approximation for the particles two-way coupled to the fluid…
Linear stability of confined flow around a 180-degree sharp bend
Azan M. Sapardi, Wisam K. Hussam Alban Pothérat, Gregory J. Sheard
This study seeks to characterise the breakdown of the steady 2D solution in the flow around a 180-degree sharp bend to infinitesimal 3D disturbances using a linear stability analys…
Inverse and direct energy cascades in 3D MHD turbulence at low-Rm
N. T. Baker, A. Pothérat, L. Davoust +1
This experimental study analyzes the relationship between the dimensionality of turbulence and the upscale or downscale nature of its energy transfers. We do so by forcing low-…
Experimental study of the convection in a rotating tangent cylinder
Kélig Aujogue, Alban Pothérat, Binod Sreenivasan +1
This paper experimentally investigates the convection in a fast rotating Tangent Cylinder (TC), for Ekman numbers down to , in a configuration relevant to the…
Controlling the dimensionality of low-Rm MHD turbulence experimentally
Nathaniel T. Baker, Alban Pothérat, Laurent Davoust +2
This paper introduces an experimental apparatus, which drives turbulence electrically in a liquid metal pervaded by a high magnetic field. Unlike past magnetohydrodynamic (MHD) set…
Little Earth Experiment: an instrument to model planetary cores
Kelig Aujogue, Alban Potherat, Ian Bates +2
In this paper, we present a new experimental facility, Little Earth Experiment, designed to study the hydrodynamics of liquid planetary cores. The main novelty of this apparatus is…
Dimensionality, secondary flows and helicity in low-Rm MHD vortices
Nathaniel T. Baker, Alban Pothérat, Laurent Davoust
In this paper, we examine the dimensionality of a single electrically driven vortex bounded by two no-slip and perfectly insulating horizontal walls distant by . The study was p…
The decay of wall-bounded MHD turbulence at low Rm
Kacper Kornet, Alban Potherat
We present Direct Numerical Simulations of decaying Magnetohydrodynamic (MHD) turbulence at low magnetic Reynolds number. The domain considered is bounded by periodic boundary cond…