Vortex Flows and Related Numerical Methods II
ESAIM: Proceedings,
Vol. 1, 1996, pp. 95-107
Impulse Variables, Vortex Dipoles and Applications
Ricardo Cortez
University of California and Lawrence Berkeley Laboratory
Berkeley, CA 94720, USA
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.
Vortex Flows and Related
Numerical Methods II
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