Simulating the Earth with a Supercomputer

Origin of the Earth's Magnetic Field

The geomagnetic field is generated deep inside the Earth. Within the molten, electrically conducting iron core of the Earth, i.e. at a depth of approximately 3000 to 5000 kilometers, a magnetohydrodynamic dynamo maintains the field. The investigation of such a dynamo process is one of the great challenges for present geophysics. Of particular interest are episodic field reversals of the dominant dipole component observed on geological time scales. The main challenge in numerical simulations of the geodynamo is how to reach an Earth-like parameter regime where viscous dissipation is small compared to the Coriolis and magnetic Lorentz forces.

Earth's Magnetic Field

In our working group, we have developed a parallel finite volume method for the numerical solution of spherical dynamo problems. A small temperature difference between mantle and core drives a vigorous chaotic flow in the molten core of the Earth. An initially small magnetic field is amplified by induction currents until a statistical equilibrium is reached. The figure displays an isosurface of the absolute value of the magnetic field strength vector within the core. In each hemisphere, the magnetic field at the core mantle boundary is concentrated in four flux bundles corresponding to flow cyclones aligned parallel to the axis of rotation. A field continuation of the geomagnetic field to the core mantle boundary reveals a similar configuration. In additional simulations, we explore the transition to small-scale flows by reducing viscous dissipation.

(Helmut Harder, Stephan Stellmach, Ulrich Hansen, Institute of Geophysics, University of Münster)