Vortex dynamics on a domain with holes
We explore the relationship between the hydrodynamic Green’s function and the Dirichlet Green’s function in a bounded domain with holes. This relationship is expressed using the harmonic measures on the domain, following the work of Flucher and Gustafsson (Vortex motion in two-dimensional hydrodynam...
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| Veröffentlicht in: | Theoretical and computational fluid dynamics 2010-03, Vol.24 (1-4), p.51-57 |
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| container_title | Theoretical and computational fluid dynamics |
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| creator | Lopes Filho, Milton da Costa Nussenzveig Lopes, Helena J. |
| description | We explore the relationship between the hydrodynamic Green’s function and the Dirichlet Green’s function in a bounded domain with holes. This relationship is expressed using the harmonic measures on the domain, following the work of Flucher and Gustafsson (Vortex motion in two-dimensional hydrodynamics, energy renormalization and stability of vortex pairs, TRITA preprint series, 1997). The explicit form of this relation expresses velocity in terms of vorticity in a way which turns out to be very convenient, especially for analysis. We explain the advantages and describe some applications. |
| doi_str_mv | 10.1007/s00162-009-0141-6 |
| format | Article |
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| ispartof | Theoretical and computational fluid dynamics, 2010-03, Vol.24 (1-4), p.51-57 |
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| source | Springer Online Journals Complete |
| subjects | Classical and Continuum Physics Computational fluid dynamics Computational Science and Engineering Dirichlet problem Energy use Engineering Engineering Fluid Dynamics Flow velocity Fluid dynamics Fluid flow Fluid mechanics Green's functions Hydrodynamics Special Issue Original Article Two dimensional Vortices |
| title | Vortex dynamics on a domain with holes |
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