Numerical computation of flows with rolled-up vortex sheets

Vortex sheet numerical simulation using point vortices cannot give a good representation of the flow in the highly rolled up part of the sheet. The proposed numerical simulation relies on an analytical algorithm due to Guiraud and Zeytounian according to which the irrotational flow with a embedded highly rolled vortex sheet is asymptotically equivalent to one with no vertex sheet. The flow in the core is governed by the incompressible Euler equations which are solved by a finite difference method and the remaining portion of the sheet is represented by classical point vortices. This method is applied to the symmetrical Kaden problem (trailing edge vortex sheet).