A Systematic Multiscale Framework for Meteorological Modelling I: Dry Basics

Abstract
Process interactions across disparate length and time scales are crucial for atmospheric dynamics. This pair of lectures explains how systematic multiple scales asymptotics may be used to

(i) reproduce a large variety of well-known simplified model equations of theoretical meteorology in a unified way directly from the multi-dimensional compressible flow equations, and to
(ii) derive new models which explicitly incorporate the effects of scale interactions.

To elucidate the procedures and their application we will draw from work on anelastic and buoyancy-controlled (WTG-type) flows, planetary boundary layers, and (if time permits) concentrated atmospheric vortices.

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