Fluid flow and dynamo action driven by differential rotation in a spherical shell

Computer Science

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Scientific paper

The interaction between shear flow and magnetic instabilities plays an important role for the dynamics of many celestial bodies ranging from galaxies to the dynamo regions of planets. Several laboratory and numerical experiments have been devoted to studying this interaction. Here we numerically explore the flow and dynamo action in a viscous and electrically conducting fluid between two differentially rotating spheres, the spherical Couette system. A laboratory realization of this setup has been build at the University of Maryland as a next generation dynamo experiment. Our simulations show a zoo of different flow instabilities. In particular the nearly two dimension quasi geostrophic solutions at larger outer boundary rotation rates are favorable for dynamo action. An extrapolation of the results suggest that the Maryland experiment could indeed yield dynamo action. When extrapolated to an imaginary planetary surface, the field is very axisymmetric and has a strong octupole component similar to the field observed on Saturn. We suggest that differential rotation driven by Helium precipitation may contribute to shaping the planets field.

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