Construction of higher order accurate vortex and particle methods (Q1087400)

The standard point vortex method has recently been shown to be of high order of accuracy for problems on the whole plane, when using a uniform initial subdivision of assigning the vorticity to the points. If obstacles are present in the flow, this high order deteriorates to first or second order. This paper introduces new vortex methods which are of arbitrary accuracy (under regularity assumptions) regardless of the presence of bodies and the uniformity of the initial subdivision.