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PreprintCC BY-NC-SA 4.0arXiv

Formation of a Vorticity Singularity in an Axisymmetric Poloidal Flow

  • Evgeny Kuznetsov
  • Evgeny Mikhailov
  • Mikhail Serdukov
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Abstract

In this work, building on previous studies of plane-parallel flows, we investigate the rapid growth of the frozen-in vorticity field in an axisymmetric poloidal flow. We present the results of numerical simulations performed using supercomputing resources. We show that exponentially growing velocity gradients can develop on the axis of symmetry, while vorticity gradients grow superexponentially. These results are qualitatively similar to those previously obtained for vorticity in a simpler two-dimensional flow.

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Cite

BibTeXRIS
BibTeX
@misc{kuznetsov2026formation,
  title = {{Formation of a Vorticity Singularity in an Axisymmetric Poloidal Flow}},
  author = {Evgeny Kuznetsov and Evgeny Mikhailov and Mikhail Serdukov},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.27330},
  eprint = {2610.27330},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.27330},
  note = {CC BY-NC-SA 4.0},
}
RIS
TY  - UNPB
TI  - Formation of a Vorticity Singularity in an Axisymmetric Poloidal Flow
AU  - Evgeny Kuznetsov
AU  - Evgeny Mikhailov
AU  - Mikhail Serdukov
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2610.27330
UR  - https://arxiv.org/abs/2610.27330
AB  - In this work, building on previous studies of plane-parallel flows, we investigate the rapid growth of the frozen-in vorticity field in an axisymmetric poloidal flow. We present the results of numerical simulations performed using supercomputing resources. We show that exponentially growing velocity gradients can develop on the axis of symmetry, while vorticity gradients grow superexponentially. These results are qualitatively similar to those previously obtained for vorticity in a simpler two-dimensional flow.
ER  -