### Abstract

Original language | English |
---|---|

Journal | Physics of Fluids |

Volume | 7 |

Issue number | 9 |

Pages (from-to) | 2220-2229 |

ISSN | 1070-6631 |

DOIs | |

Publication status | Published - 1995 |

### Cite this

*Physics of Fluids*,

*7*(9), 2220-2229. https://doi.org/10.1063/1.868470

}

*Physics of Fluids*, vol. 7, no. 9, pp. 2220-2229. https://doi.org/10.1063/1.868470

**Dynamics of a nonlinear dipole vortex.** / Hesthaven, J.S.; Lynov, Jens-Peter; Nielsen, A.H.; Juul Rasmussen, J.; Schmidt, M.R.; Shapiro, E.G.; Turitsyn, S.K.

Research output: Contribution to journal › Journal article › Research

TY - JOUR

T1 - Dynamics of a nonlinear dipole vortex

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.

PY - 1995

Y1 - 1995

N2 - 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.

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.

KW - Energimaterialer og ny energiteknologi

U2 - 10.1063/1.868470

DO - 10.1063/1.868470

M3 - Journal article

VL - 7

SP - 2220

EP - 2229

JO - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

IS - 9

ER -