A splitting-free vorticity redistribution method

M. Kirchhart, S. Obi

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We present a splitting-free variant of the vorticity redistribution method. Spatial consistency and stability when combined with a time-stepping scheme are proven. We propose a new strategy preventing excessive growth in the number of particles while retaining the order of consistency. The novel concept of small neighbourhoods significantly reduces the method's computational cost. In numerical experiments the method showed second order convergence, one order higher than predicted by the analysis. Compared to the fast multipole code used in the velocity computation, the method is about three times faster.

Original languageEnglish
Pages (from-to)282-295
Number of pages14
JournalJournal of Computational Physics
Volume330
DOIs
Publication statusPublished - 2017 Feb 1

Keywords

  • Vortex diffusion schemes
  • Vortex particle methods

ASJC Scopus subject areas

  • Numerical Analysis
  • Modelling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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