Interaction of Two Vortex Filaments with Special Reference to Singularity Formation

抄録

To find a possible dynamical mechanism to lead to finite time singularity formation in three dimensional inviscid flow, the interaction of two vortex filaments with different strength is examined. It is observed by the numerical simulations using the Biot-Savart's 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 if the difference of the strength of two filaments is large. Due to the induced velocity of weak wound filament the strong filament is stretched efficiently at the middle point of it. A simple model for the winding process is examined.