Forma, Vol. 8 (No. 1), pp. 15-25, 1993
Original Paper

Singularity in Vorticity Field

Akio Fukuyu

Department of Mathematical Sciences, College of Science and Engineering, Tokyo Denki University, Hatoyama-machi, Hiki-gun, Saitama 350-03, Japan

(Received May 6, 1993; Accepted June 4, 1993)

Keywords: singularity in inviscid flow, interaction of vortex filament, Biot-Savart simulation

Abstract. To find a possible mechanism to explain finite-time singularity formation in three-dimensional inviscid flow, the interaction of two vortex filaments with different strengths is examined. It is observed by the numerical simulations using the Biot-Savart law that when a weak vortex filament approaches to a strong straight filament, weak one winds round to strong one while the latter stays almost straight. Due to the induced velocity of weak wound filament the strong filament is stretched efficiently at the middle point of it.