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Collapse and concentration of vortex sheets in two-dimensional flow

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Abstract

Numerical evidence is presented for the existence of collapse configurations of vortex sheets (one-dimensional singular distributions of vorticity) in a two-dimensional ideal fluid. Point vortices are used to approximate the vortex sheets. These and related motions cause a significant concentration of vorticity, with possible relevance to the concentration seen in the evolution of turbulent flows.

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Authors and Affiliations

  1. Department of Mathematical and Computer Sciences, The University of Tulsa, 800 S. Tucker Dr., Tulsa, OK, 74104, USA

    Kevin A. O’Neil

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  1. Kevin A. O’Neil
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Correspondence to Kevin A. O’Neil.

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Communicated by H. Aref

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O’Neil, K.A. Collapse and concentration of vortex sheets in two-dimensional flow. Theor. Comput. Fluid Dyn. 24, 39–44 (2010). https://doi.org/10.1007/s00162-009-0106-9

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  • DOI: https://doi.org/10.1007/s00162-009-0106-9

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