Collapsing Solutions in the 3-D Euler Equations
Intermittent fluctuations in a turbulent flow constitute one of the most original, and also challenging problems in fluid mechanics1. They have been observed in many experimental situations, and it has been established that they play a very important role in many processes of great practical importance. As an example, it has been shown experimentally that about a half of the Reynolds stress in turbulent boundary layer flows is produced during the ‘bursting’ events2. These events are associated with the generations of small scales in the flow. Indeed, variations of the velocity field over extremely small length scales (even smaller than the Kolmogorov length!) have been reported in turbulent boundary layer flows3. Numerical simulations of turbulent channel flow at much more modest Reynolds numbers have revealed similar features4.
KeywordsEuler Equation Turbulent Boundary Layer Paired Vortex Vortex Tube Fixed Mesh
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