Merging Computational Elements in Vortex Simulations

  • Authors:
  • Louis F. Rossi

  • Affiliations:
  • -

  • Venue:
  • SIAM Journal on Scientific Computing
  • Year:
  • 1997

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Abstract

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.