منابع مشابه
Multiscale Approximation of Vortex Patches
We propose an adaptive scheme, based on multiscale decomposition into interpolatory wavelet bases, to simulate the evolution of vortex patches associated to solutions of the two-dimensional Euler equations. This scheme is based on fast algorithms that relate the numerically signiicant wavelet coeecients with the irregular sampling of the boundary of the patch on an adaptive grid. This method al...
متن کاملGeometric phases for corotating elliptical vortex patches
We describe a geometric phase that arises when two elliptical vortex patches corotate. Using the Hamiltonian moment model of Melander, Zabusky, and Styczek @J. Fluid Mech. 167, 95–115 ~1986!# we consider two corotating uniform elliptical patches evolving according to the second order truncated equations of the model. The phase is computed in the adiabatic setting of a slowly varying Hamiltonian...
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We investigate the interaction of ocean vortex patches with boundaries via the elliptic moment model of Melander, Zabusky & Stysek [13], under which vortex patches are approximated as elliptic regions of uniform vorticity. The interaction with a straight boundary is shown to reduce to the problem of an ellipse in constant strain, as previously investigated by Kida [9]. Interactions with more co...
متن کاملFar-field perturbations of vortex patches.
In this paper I investigate the dynamics of vortex patches in the Yudovitch phase space. I derive an approximation for the evolution of the vorticity in the case of nested vortex patches with distant boundaries, and study its long-time behaviour.
متن کاملDeformation of vortex patches by boundaries
The deformation of two-dimensional vortex patches in the vicinity of fluid boundaries is investigated. The presence of a boundary causes an initially circular patch of uniform vorticity to deform. Sufficiently far away from the boundary, the deformed shape is well approximated by an ellipse. This leading order elliptical deformation is investigated via the elliptic moment model of Melander, Zab...
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ژورنال
عنوان ژورنال: Physics of Fluids
سال: 2004
ISSN: 1070-6631,1089-7666
DOI: 10.1063/1.1767771