TY - JOUR
TI - Dynamics of a nonlinear dipole vortex
LA - eng
AU - Hesthaven, J.S.
AU - Lynov, Jens-Peter
AU - Nielsen, A.H.
AU - Juul Rasmussen, J.
AU - Schmidt, M.R.
AU - Shapiro, E.G.
AU - Turitsyn, S.K.
JF - Physics of Fluids
VL - 7
IS - 9
SP - 2220
EP - 2229
PY - 1995
SN - 10897666, 10706631
AB - A localized stationary dipole solution to the Euler equations with a relationship between the vorticity and streamfunction given as omega=-psi+psi(3) is presented. By numerical integration of the Euler equations this dipole is shown to be unstable. However, the initially unstable dipole reorganizes itself into a new nonlinear dipole, which is found to be stable. This new structure has a functional relationship given as omega=alpha psi+beta psi(3)-gamma psi(5). Such dipoles are stable to head-on collisions and they are capable of creating tripolar structures when colliding off axis. The effects of increasing Newtonian viscosity on the nonlinear dipole is studied revealing that even though the nonlinearity is weakening, the dipole does not relax towards a Lamb dipole. (C) 1995 American Institute of Physics.
DO - 10.1063/1.868470
ER -