A Shallow-Water Model for Convective Self-Aggregation

Abstract Randomly distributed convective storms can self-aggregate in the absence of large-scale forcings. Here we present a 1D shallow-water model to study self-aggregation. This simulates dynamics planetary boundary layer and represents convection as triggered process. Once triggered, lasts for finite time occupies length. We show that successfully simulate self-aggregation, results are robust wide range parameter values. In simulations, excites gravity waves. The waves then form standing wave pattern, separating domain into convectively active inactive regions. analyze available potential energy (APE) budget generates APE, providing By performing dimensional analysis, develop scaling theory size aggregation, which is set by speed, damping scale, number density storms. paper provides simple modeling framework further