A Vortex Particle Method for Two-Dimensional Compressible Flow
A vortex particle method is developed for simulating two-dimensional, unsteady compressible (low. The method uses the Helmholtz decomposition of the velocity field to separately treat the irrotational and solenoidal portions of the Now, and the particles are allowed to change volume to conserve mass. In addition to having vorticity and dilatation properties, the particles also carry density, enthalpy, and entropy. The resulting evolution equations contain terms that are computed with techniques used in some incompressible methods. Truncation of unbounded domains via a nonreflecting boundary condition is also considered. The fast multipole method is adapted to compressible particles in order to make the method computationally efficient. The new method is applied to several problems, including sound generation by corotating vortices and generation of vorticity by baroclinic torque.
© 2002 Elsevier. Received 26 April 2001, revised 5 March 2002, available online 21 June 2002. The first author gratefully acknowledges support under a NSF Graduate Research Fellowship. This research was supported in part by the National Science Foundation under Grant 9501349. A preliminary version of some of the work presented here was reported in .