| Título: | A level set vortex hybrid method for simulating the motion of vortex filaments / |
| Autores: | Ghuneim, Abeer George |
| Fecha: | 2002 |
| Publicador: | McGill University - MCGILL |
| Fuente: |
 |
| Tipo: | Electronic Thesis or Dissertation |
| Tema: | Computer Science. |
| Descripción: | We present a novel approach to simulate the motion of vortex filaments in three dimensional, incompressible flows. We represent vortex filaments as thin tubes on a 3D-grid and use a Lagrangian vortex filament method to describe their motion within a level set framework. We thus obtain a hybrid method that incorporates the accuracy of vortex methods in modelling filament motion and the benefits of working on a fixed grid within the level set framework. These benefits include a general grid characterization of the topological changes that, may occur and natural filtering of high-frequency perturbations. We have validated the consistency of the hybrid method reproducing the motion of well studied configurations of vortex filaments. More importantly, we have demonstrated the capability of this hybrid method to simulate the reconnection of vortex filaments for a number of examples, including the reconnection subsequent to the head-on collision of two sinusoidally perturbed circular filaments. To our knowledge, these are the first results illustrating the use of a hybrid Level-Set Lagrangian framework to model and simulate the reconnection of vortex filaments in an inviscid fluid. |
| Idioma: | en |
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