These lecture notes are based on a tutorial given in 2017 at a plasma physics winter school
in Les Houches. Their aim is to provide a self-contained graduate-student level introduction …

Recent decades have seen enormous progress in the experimental investigation of
fundamental processes that are relevant to geophysical and astrophysical fluid dynamics …

We use the multiphase magnetohydrodynamic code SFEMaNS to study the generation of
electrovortex flows in liquid metal batteries. We first reproduce some well known results in a …

In this paper we investigate the Tayler instability in an incompressible, viscous and resistive
liquid metal column and in a model of a liquid metal battery (LMB). Detailed comparisons …

The thermal convection in a cylindrical container heated by a solenoid and cooled with an
oil-based ferrofluid is numerically studied. The temperature and the velocity fields are …

Magnetic fields of planets, stars and galaxies are generated by self-excitation in moving
electrically conducting fluids. Once produced, magnetic fields can play an active role in …

In this paper, we present a numerical approach to solve the Navier–Stokes equations for
arbitrary vessel geometries by combining a Fourier-spectral method with a direct-forcing …

Predicting dynamo self-generation in liquid metal experiments has been an ongoing
question for many years. In contrast to simple dynamical systems for which reliable …

The present paper proposes and analyzes an interior penalty technique using C 0-finite
elements to solve the Maxwell equations in domains with heterogeneous properties. The …

We present hydrodynamic and magnetohydrodynamic (MHD) simulations of liquid sodium
flows in the von Kármán sodium (VKS) set-up. The counter-rotating impellers made of soft …