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 …

The generation of a magnetic field in an electrically conducting fluid generally involves the
complicated nonlinear interaction of flow turbulence, rotation and field. This dynamo process …

We investigate the normal modes of a rapidly rotating, electrically conducting, inviscid fluid
sphere in the presence of a background magnetic field. Neglecting the fast modes that are …

Helicity plays an important role in spectacular geophysical phenomena such as hurricanes
or the generation of the terrestrial magnetic field. The present investigation shows how …

We present dynamos computed using a hybrid QG-3D numerical scheme in a thick spherical
shell geometry. Our model is based on a quasi-geostrophic convection code extended with …

Kinetic helicity and its spatial distribution are thought to be important for the maintenance of
a dipolar magnetic field in the geodynamo through the α-effect. Outside the inner core …

In recent numerical simulations of the geodynamo the dynamo action is driven, primarily, by
the effects of helicity, with differential rotation playing only a secondary role. These dynamos …

In numerical simulations of planetary dynamos there is an abrupt transition in the dynamics
of both the velocity and magnetic fields at a 'local'Rossby number of 0.1. For smaller Rossby …

This textbook on rotating fluid dynamics combines a pedagogical development of theoretical
ideas with a description and analysis of many of the fascinating examples of rotating flows …

This thesis investigates two-dimensional (2D) incompressible turbulence with three
velocitycomponents. Such systems will be called 2D3C flows. Two main classes are …