Impulse variables, vortex dipoles and applications
University of California and Lawrence Berkeley Laboratory Berkeley, CA 94720, USA
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.
© EDP Sciences, ESAIM, 1996