A Lagrangian vorticity collocation method for viscous, axisymmetric flows with and without swirl

摘要

This paper presents a new Lagrangian vorticity collocation method for viscous, axisymmetric fluid flows with or without swirl. The velocity calculation is performed using a representation of the vorticity field in terms of Gaussian vortex rings for off-center points and Gaussian vortex blobs along the axis of symmetry. A matrix equation for the element "amplitudes" is obtained via a collocation approach, by fitting the vorticity representation to the known vorticity values at the control points, prior to each velocity evaluation.