Can Three-Dimensional Ideal Flows Become Singular in a Finite Time?

作者: M. E. Brachet , M. Meneguzzi , A. Vincent , H. Politano , P. L. Sulem

DOI: 10.1007/978-94-011-2022-7_3

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摘要: The dynamics of three-dimensional ideal flows is investigated by direct numerical simulations the Euler equations at resolutions up to 2563 for general periodic and 8643 symmetric Taylor-Green vortex. spontaneous emergence flat pancake-like structures that shrink exponentially in time observed. A simple self- similar model fits these observations presented. Focusing instabilities those leading streamwise vortices context free shear layers (15), are expected subsequently concentrate vorticity produce isolated vortex filaments. finite singularity not excluded as result interactions among

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