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Descripción
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| Work spanning several decades exists, which focuses on the problem of inviscid or viscous instability of vortical flows. Short of resorting to a direct numerical simulation methodology analysis Winckelmans and Leonard (1993), an approach hardly appropriate for parametric studies, practically all instability work has dealt with basic flows that correspond to vortices either in isolation or in the presence of a shear flow that models the presence of a second co- or counter-rotating vortex. By contrast, Hein and Theofilis Hein and Theofilis (2004) and Jacquin et al. Jacquin et al. (2003) have first employed the BiGlobal instability analysis concept Theofilis (2003) in order to analyze three-dimensional instability of arbitrary vorticity distributions on the plane normal to the axial direction, treating the latter spatial direction as homogeneous but without resorting to the assumption of spatial homogeneity in the azimuthal; the basic states analyzed in those works were constructed analytically with the aid of the Batchelor vortex model. Interestingly, validations studies on the Batchelor vortex Hein and Theofilis (2004) have demonstrated the stringent resolution requirements placed on the stability analysis by the tight structure of the amplitude functions of the small-amplitude perturbations developing in the core of the basic flow vortex. The use of a regular Cartesian tensor-product spectral collocation computational mesh Hein and Theofilis (2004) has adversely in uenced the convergence of the results presented (though convergence has been achieved), since a large portion of the available (mapped) Chebyshev collocation points utilized have been wasted in resolving the innocuous far-field. | |
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Internacional
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Si |
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ISSN o ISBN
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0000000000 |
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Entidad relacionada
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Von Karman Institute for Fluid Dynamics |
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Nacionalidad Entidad
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BELGICA |
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Lugar del congreso
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Bruselas |