M.A. Sokolovskiy, J. Verron, X.J. Carton. The formation of new quasi-stationary vortex patterns from the interaction of two identical vortices in a rotating fluid. Ocean Dynamics, 2018, v. 68, N 6, pp. 723-733.
Within the framework of the quasi-geostrophic approximation, the interactions of two identical initially circular vortex patches are studied using the contour dynamics/surgery method. The cases of barotropic vortices and of vortices in the upper layer of a two-layer fluid are considered. Diagrams showing the end states of vortex interactions and, in particular, the new regime of vortex triplet formation are constructed for a wide range of external parameters. This paper shows that, in the nonlinear evolution of two such (like-signed) vortices, the filaments and vorticity fragments surrounding the merged vortex often collapse into satellite vortices. Therefore, the conditions for the formation and the quasi-steady motions of a new type of triplet-shaped vortex structure are obtained.
2019A.I. Aleksyuk, V.V. Belikov. The uniqueness of the exact solution of the Riemann problem for the shallow water equations with discontinuous bottom // Journal of Computational Physics, vol. 390, 2019, pp. 232-248
2019Aleksyuk A.I. Influence of vortex street structure on the efficiency of energy separation // International Journal of Heat and Mass Transfer. — 2019. — Vol. 135. — P. 284–293.