Abstract
In isotropic turbulence, stagnation points form a fractal multiple-scale network in space such that their number density n s = C s L−d (L/η)Ds where C s is a dimensionless constant, L/η is the inner to outer length-scale ratio and the fractal dimension D s is given by p + 2D s /d = 3; d is the dimensionality of the flow and p is the exponent of the energy spectrum. On the other hand, the statistical persistence of stagnation points is defined in terms of the statistics of stagnation point velocities, and we show that, on average, stagnation points stop moving as the Reynolds number tends to infinity in the frame where the mean flow is zero.
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Vassilicos, J., Davila, J., Goto, S., Hascoet, E., Osborne, D., Rossi, L. (2006). PERSISTENT MULTIPLE-SCALE STAGNATION POINT STRUCTURE. In: KIDA, S. (eds) IUTAM Symposium on Elementary Vortices and Coherent Structures: Significance in Turbulence Dynamics. Fluid Mechanics and Its Applications, vol 79. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4181-0_12
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DOI: https://doi.org/10.1007/1-4020-4181-0_12
Publisher Name: Springer, Dordrecht
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