Work

Formation of a Vorticity Singularity in an Axisymmetric Poloidal Flow

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.27330

Authors: Kuznetsov, Evgeny, Mikhailov, Evgeny, Serdukov, Mikhail

Institutions: P.N. Lebedev Physical Institute of the Russian Academy of Sciences, Landau Institute for Theoretical Physics, Lomonosov Moscow State University

Language: English

Topic: Fluid Dynamics and Turbulent Flows

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7223111984

Cites: 1

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Related to: 10