Contour shape dependency of circulation statistics in homogeneous and isotropic turbulence

• DOI: 10.1063/5.0220615
• Publication Date: 2024-08-09T10:27:52Z
• Authors: Kartik P. Iyer; L. Moriconi
• Keywords: Enstrophy; Circulation (fluid dynamics)

Statistical moments of the turbulent circulation are complex geometry-dependent functionals closed oriented contours and present a hard challenge for theoretical understanding. Conveniently defined moment ratios, however, empirically known to have appreciable geometric dependency only at lower orders that sized near bottom inertial range, in situation where they span minimal surfaces equivalent areas. Resorting ideas addressed framework vortex gas model statistics, which integrates structural multifractal aspects velocity field, we able reproduce, with reasonable accuracy, observed contour shape up high order statistics. A key phenomenological point our discussion is assumption energy dissipation closely related local density thin tubes, sharply bounded from above finite Reynolds numbers.