Abstract
A boundary integral method for computing the motion of the toroidal bubble that forms upon the collapse of a transient cavity in an axisymmetric flow field, is described. The key element of this method is the introduction of a cut in the flow field, across which the velocity potential is discontinuous by an amount equal to the circulation around the torus. Sample computations are presented, with particular emphasis upon the rebound of a toroidal bubble whose contents are described by an adiabatic gas law. In some circumstances it appears that the reexpansion of the bubble causes the stream of fluid flowing through the torus to thin sufficiently that the bubble resumes a singly connected topology. A redefinition of the velocity potential then allows removal of the cut and a continuation of the calculation.Key wordsTransient cavity collapseToroidal bubbleJet impact
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