Bubble Convection Experiments with a Semi-implicit Formulation of the Euler Equations

Abstract

Atmospheric models based on the Euler equations exist and are used occasionally to carry out numerical experiments. Such a model is used here to simulate the motion of warm bubbles in a dry isentropic atmosphere. For the time integration, this model uses a scheme that is semi-Lagrangian and semi-implicit. It is the stability and the efficiency of this integration scheme that is examined in the context of an isentropic vertical stratification. Some results are presented and are compared with the results generated by similar experiments reported in the scientific literature.