Abstract

A Lagrangian numerical method based on impulse variables is analyzed. The relation between impulse vectors and vortex dipoles with a prescribed dipole moment is presented and used to adapt the high-accuracy cutoff functions of vortex methods for use in impulse-based methods. The long-time implementation of the impulse method is shown to contain a source of error whose growth in time renders impulse methods impractical for use in interior flows. Applications for which impulse methods are well suited are identified.

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