A New Approach to 2-D Vortex Methods

John Strain (UC Berkeley)

Vortex methods for incompressible 2-D flow require an efficient and accurate numerical integration of the singular Biot-Savart kernel. This is traditionally done via smoothing and the flow map, a strategy which loses accuracy over long time spans. A different approach --- using fast summation globally but correcting it locally --- yields efficient high-order vortex methods with excellent long-time accuracy.