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Issue ESAIM: Proc.
Volume 1, 1996
Vortex flows an related numerical methods II
Page(s) 95 - 107
DOI http://dx.doi.org/10.1051/proc:1996007

ESAIM: Proc., 1996, Vol. 1, pp. 95-107
DOI: 10.1051/proc:1996007

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.



© EDP Sciences, ESAIM 1996


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