6533b830fe1ef96bd1297c12

RESEARCH PRODUCT

Singular behavior of a vortex layer in the zero thickness limit

Francesco GarganoVincenzo SciaccaMarco Sammartino

subject

PhysicsSingularity tracking methodCondensed matter physicsGeneral MathematicsZero (complex analysis)GeometryStarting vortex01 natural sciences010305 fluids & plasmasVortex ringVortex010101 applied mathematicsBirkhoff-Rott equationVortex layer0103 physical sciencesVortex sheetBurgers vortexLimit (mathematics)0101 mathematicsVortex-sheetLayer (electronics)Settore MAT/07 - Fisica Matematica

description

The aim of this paper is to study the Euler dynamics of a 2D periodic layer of non uniform vorticity. We consider the zero thickness limit and we compare the Euler solution with the vortex sheet evolution predicted by the Birkhoff-Rott equation. The well known process of singularity formation in shape of the vortex sheet correlates with the appearance of several complex singularities in the Euler solution with the vortex layer datum. These singularities approach the real axis and are responsible for the roll-up process in the layer motion.

yearjournalcountryeditionlanguage
2017-01-01
10.4171/rlm/776http://hdl.handle.net/10447/242030