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A vortex method for computing two-dimensional inviscid incompressible flows

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Abstract

A vortex method is suggested for computing two-dimensional inviscid incompressible flows in a closed domain with a possible flow through it. An algorithm for searching for stable steady vortex configurations is described. The method developed is used to study the dynamics of the Chaplygin-Lamb dipole in a rectangular channel in various flow regimes.

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Authors and Affiliations

  1. Southern Federal University, ul. Mil’chakova 8a, Rostov-on-Don, 344090, Russia

    V. N. Govorukhin

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  1. V. N. Govorukhin
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Correspondence to V. N. Govorukhin.

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Original Russian Text © V.N. Govorukhin, 2011, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2011, Vol. 51, No. 6, pp. 1133–1147.

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Govorukhin, V.N. A vortex method for computing two-dimensional inviscid incompressible flows. Comput. Math. and Math. Phys. 51, 1061–1073 (2011). https://doi.org/10.1134/S096554251106008X

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  • DOI: https://doi.org/10.1134/S096554251106008X

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