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 language | English |
|---|---|
| Pages (from-to) | 282-295 |
| Number of pages | 14 |
| Journal | Journal of Computational Physics |
| Volume | 330 |
| DOIs | |
| Publication status | Published - 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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Cite this
Kirchhart, M., & Obi, S. (2017). A splitting-free vorticity redistribution method. Journal of Computational Physics, 330, 282-295. https://doi.org/10.1016/j.jcp.2016.11.014