Abstract
The present study involves a novel numerical technique regarding the simultaneous use of the fast multipole method (FMM) and a special-purpose computer originally designed for molecular dynamics simulations (MDGRAPE-3). In the present calculations, the dynamics of two colliding vortex rings have been studied using the vortex method and the computation time has been reduced by a factor of 2000 compared to a direct calculation on a standard PC. The reconnection of the vortex rings was clearly observed, and the discretization error became nearly negligible for the calculation using 107 elements.
