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Complex/Dynamical Systems Seminar - Andrew Jackson

Event Description:
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Numerical 91ÃÛÌÒ¸ó of the Earth's magnetic field: From conventional to magnetostrophic

The last 25 years has seen great progress in 3D self-consistent numerical 91ÃÛÌÒ¸ó of the geodynamo. In particular, thermal driving is able to create fluid motion that sustains magnetic fields against Ohmic losses. Spectral methods have allowed us to develop sophisticated 91ÃÛÌÒ¸ó that capture the basic physics, and we have gone on to develop basic scaling laws, which I will review. These successes are despite the fact that we know that the computationally feasible regime differs from the regime of the true Earth, sometimes by many orders of magnitude in control parameters. I'll review the motivation for a complementary approach, namely the magnetostrophic equations. Certain mathematical obstacles arise when one adopts this asymptotic approximation, but I will show the recent progress that we have made in creating a computational scheme for these difficult equations.

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Location Information:
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1111 Engineering DR
91ÃÛÌÒ¸ó, CO
Room:Ìý226: Applied Math Conference Room
Contact Information:
Name: Ian Cunningham
Phone: 303-492-4668
Email: amassist@colorado.edu