Title:

Study of Wall Modes in Rapidly Rotating Convection

We present a study of wall modes in rapidly rotating convection. The purpose of our simulations was to set a baseline for further research in magnetohydrodynamics. To validate against existing data the Dedalus framework was used in addition to the Premise computing cluster on UNH’s campus. Dedalus is an open-source framework for solving partial differential equations in Python. Once the scripts were written batch scripts were compiled on Premise to handle the computational load. The combination of Dedalus and Premise allowed for meshing and incorporation of complex partial differential functions to allow us to describe a theoretically accurate progression of the initial parameters. The results were images plotted as top down, or radial views allowing us to visualize the convection currents as they progressed around the wall of the cylinder, as well as the temperatures as they change with the height of the cylinder. The future goal with our simulations is to further understand rapidly rotating convection currents in liquid metal fluids. This will add an additional layer of complexity due to the magnetic fields that will occur as the metals spin yet will allow for deeper understanding of naturally occurring phenomena such as the magnetic field generated by the Earth’s core.

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