descriptionPublicationkeyboard_double_arrow_right Article , Conference object , Other literature type 01 Jan 2019Publisher:Kazan Federal UniversityJournal:Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, volume 161, pages 5-23 (issn: 2541-7746, eissn: 2500-2198,

Authors: Belashov V.; Kharshiladze O.;

doi: 10.26907/2541-7746.2019.1.5-23 , 10.1109/rwp.2019.8810317

The Modified Method of Contour Dynamics and Modeling of Vortical Structures

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Abstract

This paper considers one of the most effective methods for modeling vortical structures, which are described by the 2-dimensional equation of carry of a vortex and by the Poisson equation for a flow function, namely, the contour dynamics method based on representation of a vortical stream by finite-area vortical regions. A modification of the contour dynamics method minimizing the errors arising at its direct application to description of vortical structures has been elaborated. The examples of the results of numerical experiments on the study of the dynamics of interaction of vortical structures for various configurations of their relative positioning, signs of vorticity, and distances between borders of the finite-area vortical regions have been presented.

Related Organizations

Institute of Physics
Russian Federation
Tbilisi State University
Georgia
Kazan Federal University
Russian Federation

Keywords

Геофизика, Механика, regimes of interaction, Математика, Modified contour dynamics method, 530, 510, QA1-939, Quasi-recurrence phenomenon, algorithm, Физика, modified contour dynamics method, Modeling, vortices, 500, modeling, Vortices, finite-area vortical regions, Finite-area vortical regions, quasi-recurrence phenomenon, Algorithm, vortex, Phase inter-mixing, Regimes of interaction, vortical structures, hydrodynamics, Hydrodynamics, method of contour dynamics, Космические исследования, phase intermixing, Mathematics

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