Math @ Duke

Publications [#243344] of J. Thomas Beale
Papers Published
 Beale, JT, A Convergent 3D Vortex Method With GridFree Stretching,
Mathematics of Computation, vol. 46 no. 174
(April, 1986),
pp. 401401, JSTOR [doi]
(last updated on 2019/04/26)
Abstract: This document proves the convergence of a vortex method for three dimensional, incompressible, inviscid flow without boundaries. This version differs from an earlier one whose convergence was shown in another work in that the calculation does not depend explicitly on the arrangement of the vorticity elements in a Lagrangian frame. Thus, it could be used naturally in a more general context in which boundaries and viscosity are present. It is also shown that previous estimates for the velocity approximation can be improved by taking into account the fact that the integral kernel has an average value of zero. Implications for the design of the method are discussed. (A)


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