Numerical investigation of the interaction of coaxial vortex rings

Abstract

Presents the numerical investigations of interaction of several coaxial vortex rings in inviscid fluid. For the solution of non‐linear system of ordinary differential equations chooses the method of extrapolation with variable step and order. Controls the accuracy of calculations by the conditions of conservation of the first integrals and also by the comparison of numerical results with the known analytical solutions. Discusses the problems of order and chaos, and presents examples of mixing of fluid particles by interaction of two and three vortex rings.

Citation

Konstantinov, M. (1997), "Numerical investigation of the interaction of coaxial vortex rings", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 7 No. 2/3, pp. 120-140. https://doi.org/10.1108/09615539710163220