A Convergent 3-D Vortex Method With Grid-Free Stretching

  title={A Convergent 3-D Vortex Method With Grid-Free Stretching},
  author={J. Thomas Beale},
We prove 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 [4] 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… CONTINUE READING