Abstract
We briefly review our previous work, high-Reynolds number simulations of a high-symmetry flow, and the evidence found therein for a singularity in incompressible, inviscid flow. We show the physical picture of a self-similar collapse of a 12-vortex structure during transition. We find that vortex reconnection plays an important role in the alteration of the topology of vortex lines and in the development of a turbulent flow. We also present an analysis of the behavior of third-order velocity derivatives at the origin, the center of the collapse.
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© 1995 Springer-Verlag Berlin Heidelberg
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Pelz, R.B., Boratav, O.N. (1995). On a possible Euler singularity during transition in a high-symmetry flow. In: Meneguzzi, M., Pouquet, A., Sulem, PL. (eds) Small-Scale Structures in Three-Dimensional Hydrodynamic and Magnetohydrodynamic Turbulence. Lecture Notes in Physics, vol 462. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0102396
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DOI: https://doi.org/10.1007/BFb0102396
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