Inversion formula of multifractal energy dissipation in 3D fully developed turbulence

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dc.creatorXu, Jian-Liang
dc.creatorZhou, Wei-Xing
dc.creatorLiu, Hai-Feng
dc.creatorGong, Xin
dc.creatorWang, Fu-Cheng
dc.creatorYu, Zun-Hong
dc.date2006-03-18
dc.date.accessioned2026-07-07T07:07:42Z
dc.date.available2026-07-07T07:07:42Z
dc.descriptionThe concept of inverse statistics in turbulence has attracted much attention in the recent years. It is argued that the scaling exponents of the direct structure functions and the inverse structure functions satisfy an inversion formula. This proposition has already been verified by numerical data using the shell model. However, no direct evidence was reported for experimental three dimensional turbulence. We propose to test the inversion formula using experimental data of three dimensional fully developed turbulence by considering the energy dissipation rates in stead of the usual efforts on the structure functions. The moments of the exit distances are shown to exhibit nice multifractality. The inversion formula between the direct and inverse exponents is then verified.
dc.description3 RevTex pages including 3 eps figures
dc.identifierhttps://arxiv.org/abs/physics/0603148
dc.identifierhttp://arxiv.org/abs/physics/0603148
dc.identifierPhysical Review E 73, 056308 (2006)
dc.identifierdoi:10.1103/PhysRevE.73.056308
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110491
dc.subjectFluid Dynamics
dc.titleInversion formula of multifractal energy dissipation in 3D fully developed turbulence
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