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- Publisher
- Springer Journals
- Copyright
- Copyright © Pleiades Publishing, Ltd. 2021
- ISSN
- 0021-8944
- eISSN
- 1573-8620
- DOI
- 10.1134/s0021894421030196
- Publisher site
- See Article on Publisher Site
Abstract
The accuracy of numerical calculations of the dynamics of vortex filaments is estimated via the cutoff method using the example of the motion of helical vortices. In the case of helical vortices with uniform vorticity distribution of a Rankine core, there are two analytical approaches to solving the problem. These approaches are used to determine the minimum admissible distance between vortex filaments or their elements to ensure the accuracy of calculations when using the cutoff method. There is an established error that occurs in the calculations based on the cutoff method in the case of convergence of the rounds of a helical vortex.
Journal
Journal of Applied Mechanics and Technical Physics – Springer Journals
Published: May 1, 2021
Keywords: vortex dynamics; helical vortex; vortex filaments; desingularization; regularization of numerical solutions