Issue |
Europhys. Lett.
Volume 66, Number 1, April 2004
|
|
---|---|---|
Page(s) | 69 - 75 | |
Section | Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics | |
DOI | https://doi.org/10.1209/epl/i2003-10137-8 | |
Published online | 01 March 2004 |
Geometrical physics of the many vortex filament problem
Graduate Aeronautical Laboratories, California Institute of Technology Pasadena, CA 91125, USA
Received:
4
August
2003
Accepted:
13
January
2004
We employ a model of fully structured decaying turbulence
consisting of unconstrained, reconnecting vortex filaments with
dynamic finite cores of uniform circulation, interacting via
inertial and viscous forces. We show that the fractal dimension
and the length of the vortex tangle approach constant values. The
former is observed in the same range of scales as Kolmogorov's
inertial range scaling. The curvature and torsion spectra
show evidence of non-flat scalings corresponding to the inertial
range. The vorticity along the core centerlines tends to align
mostly with the intermediate eigenvector of the rate of strain
tensor and to be normal to the expansive one.
PACS: 47.27.Ak – Fundamentals / 47.27.Gs – Isotropic turbulence; homogeneous turbulence / 47.32.Cc – Vortex dynamics
© EDP Sciences, 2004
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