Steady axisymmetric vortex flows with swirl and shear
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Issue Date
2008-10-01
Authors
Elcrat, Alan R.
Fornberg, Bengt
Miller, Kenneth G.
Advisor
Citation
Elcrat, A. R., B. Fornberg, et al. (2008). "Steady axisymmetric vortex flows with swirl and shear." Journal of Fluid Mechanics v.613: 395-410.
Abstract
A general procedure is presented for computing axisymmetric swirling vortices which
are steady with respect to an inviscid flow that is either uniform at infinity or
includes shear. We consider cases both with and without a spherical obstacle. Choices
of numerical parameters are given which yield vortex rings with swirl, attached
vortices with swirl analogous to spherical vortices found by Moffatt, tubes of vorticity
extending to infinity and Beltrami flows. When there is a spherical obstacle we have
found multiple solutions for each set of parameters. Flows are found by numerically
solving the Bragg–Hawthorne equation using a non-Newton-based iterative procedure
which is robust in its dependence on an initial guess.
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