2024
DOI: 10.7242/1999-6691/2024.17.1.7
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Development of the discrete vortex method in combination with the fast multipole method in hydrodynamic problems

Межлум Альбертович Сумбатян,
Андрей Сергеевич Пискунов

Abstract: In this paper, the flow of a non-viscous incompressible fluid is discussed in terms of vorticity. In the framework of the discrete vortex method, each material particle of the fluid is considered in Lagrange variables; in this case, the velocities are determined by the Biot-Savard law. Thus, the influence of vortices on each other is taken into account. The aim of the work is to construct a numerical method of different orders of accuracy in the problems of vortex dynamics. The fast multipole method used in co… Show more

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