Efficiency gains of a multi-scale integration method applied to a scale-separated model for rapidly rotating dynamos

Numerical geodynamo simulations with parameters close to an Earth-like regime would be of great interest for understanding the dynamics Earth's liquid outer core and associated geomagnetic field. Such are far too computationally demanding owing large range in spatiotemporal scales. This paper explores application a multi-scale timestepping method asymptotic model generation magnetic field fluid Earth. The is based on heterogeneous multiscale modelling (HMM) strategy, which incorporates scale separation utilizes several integrating models fast slow fields. Quantitative comparisons between direct solution limit rapid rotation low Ekman number performed. accurately captures varying temporal spatial mean at lower computational costs compared model.