We provade, for a gaven vortex configuration, a general approach to the soluUon of the Lawrence-Domach model m the London approximation including Josephson couphng between the layers at the linear level Then, the scheme is used to investigate some properties of vortex-antlvortex pairs which are rele
Dipolar vortices in two-dimensional flows
β Scribed by J. Juul Rasmussen; J.S. Hesthaven; J.P. Lynov; A.H. Nielsen; M.R. Schmidt
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 910 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0378-4754
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β¦ Synopsis
The dynamics of dipolar vortex solutions to the two-dimensional Euler equations is studied. A new type of nonlinear dipole is found and its dynamics in a slightly viscous system is compared with the dynamics of the Lamb dipole. The evolution of dipolar structures from an initial turbulent patch is investigated numerically. These structures have a form that depends on the initial condition. It seems that there are no unique dipolar solutions, but a large class of solutions is possible.
π SIMILAR VOLUMES
A vorticitystreamfunction formulation for incompressible planar viscous flows is presented. The standard kinematic field equations are discretized using centred finite difference schemes and solved in a coupled way via a Newton-like linearization scheme. The linearized system of partial differential