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Investigations of asymptotic models for convection-driven flows in astrophysical and geophysical fluids

Geophysical flows, such as the turbulent motion within the Earth’s liquid iron outer core, are characterized by a wide range of spatial and temporal scales. Due to this complexity, approaches that rely on solving the full Navier-Stokes equations are limited to values of parameters that are far from the extreme values characteristic of geophysical regimes. Therefore, results from these simulations must be extrapolated over orders of magnitude to apply to Earth’s core. In this talk, I'll present an alternative strategy for modeling these flows, which relies on deriving reduced models using asymptotic techniques. These models yield results that are within the geophysically relevant parameter regimes.

I will present an asymptotically reduced model for rapidly rotating convection in a plane layer geometry and highlight a few applications of these reduced models. Specifically, we investigate the effect of different boundary conditions to facilitate comparison with experimental studies and extend the model to include magnetic effects to study planetary magnetic field generation.ÌýÌý