Some properties of motion of A + 1 vortices in a two-layer rotating fluid

Mikhail Sokolovskiy , Jacques Verron (1)

1 LEGI - Laboratoire des Écoulements Géophysiques et Industriels [Grenoble]

The paper explores the properties of motion of A+1 point vortices with A planes of symmetry immersed into a two-layer fluid. The central vortex is supposed to be in the upper layer while the other A vortices have equal intensity and form a regular A-gon configuration in the lower layer. For A≥2, we study possible stationary motions. For A=2, using methods of qualitative analysis, we classify the motions of this vortical structure and obtain preliminary numerical results concerned with stability of symmetrical configurations.

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]

Mikhail Sokolovskiy, Jacques Verron. Some properties of motion of A + 1 vortices in a two-layer rotating fluid. Non linear dynamics, 2006, 2 (1), pp.24-54. ⟨10.20537/nd0601002⟩. ⟨hal-00230198⟩