Stability of finite and infinite von K\'arm\'an vortex-cluster streets

Stability of finite and infinite von Kármán vortex-cluster streets

Z. Maches, E. Bartley, J. Borjon, and R. Carretero-González

Phys. Rev. E 103, 032205 – Published 15 March 2021

Abstract

A wake of vortices with sufficiently spaced cores may be represented via the point-vortex model from classical hydrodynamics. We use potential theory representations of vortices to examine the emergence and stability of complex vortex wakes, more particularly the von Kármán vortex street composed of regular polygonal-like clusters of same-signed vortices. We investigate the existence and stability of these streets represented through spatially periodic vortices. We introduce a physically inspired point-vortex model that captures the stability of infinite vortex streets with a finite number of procedurally generated vortices, allowing for numerical analysis of the behavior of vortex streets as they dynamically form.

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Received 9 June 2020
Revised 15 February 2021
Accepted 17 February 2021

DOI:https://doi.org/10.1103/PhysRevE.103.032205

Physics Subject Headings (PhySH)

Coherent structures Dynamical systems Hamiltonian systems

Nonlinear Dynamics

Authors & Affiliations

Z. Maches ¹, E. Bartley ¹, J. Borjon¹, and R. Carretero-González ^1,2

¹Nonlinear Dynamical Systems Group and Department of Mathematics and Statistics, San Diego State University, San Diego, California 92182-7720, USA
²Computational Science Research Center, San Diego State University, San Diego, California 92182-7720, USA

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Vol. 103, Iss. 3 — March 2021

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics

Stability of finite and infinite von Kármán vortex-cluster streets

Z. Maches, E. Bartley, J. Borjon, and R. Carretero-González

Phys. Rev. E 103, 032205 – Published 15 March 2021

Abstract

Physics Subject Headings (PhySH)

Authors & Affiliations

Article Text (Subscription Required)

References (Subscription Required)

Issue

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics

Stability of finite and infinite von Kármán vortex-cluster streets

Z. Maches, E. Bartley, J. Borjon, and R. Carretero-González

Phys. Rev. E 103, 032205 – Published 15 March 2021

Abstract

Physics Subject Headings (PhySH)

Authors & Affiliations

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