Merging Computational Elements in Vortex Simulations

This paper analyzes the process of merging groups of many Gaussian basis functions into a single basis function in vortex simulations. Analysis of the equations governing this process yields fundamental parameters and uniform estimates of the merger-induced error. In a merging event, the uniform error bound depends only on relationships between nearby computational elements permitting fast and effective merging schemes. In this paper, one such algorithm is proposed and demonstrated.