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Nonlinear Sciences > Chaotic Dynamics

arXiv:nlin/0207018 (nlin)
[Submitted on 10 Jul 2002 (v1), last revised 24 Sep 2002 (this version, v2)]

Title:The reflection-antisymmetric counterpart of the Kármán-Howarth dynamical equation

Authors:Susan Kurien
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Abstract: We study the isotropic, helical component in homogeneous turbulence using statistical objects which have the correct symmetry and parity properties. Using these objects we derive an analogue of the Kármán-Howarth equation, that arises due to parity violation in isotropic flows. The main equation we obtain is consistent with the results of O. Chkhetiani [JETP, 63, 768, (1996)] and
V.S. L'vov et al. [chao-dyn/9705016,
(1997)] but is derived using only velocity correlations, with no direct consideration of the vorticity or helicity. This alternative formulation offers an advantage to both experimental and numerical measurements. We also postulate, under the assumption of self-similarity, the existence of a hierarchy of scaling exponents for helical velocity correlation functions of arbitrary order, analogous to the
Kolmogorov 1941 prediction for the scaling exponents of velocity structure function.
Comments: 24 pages, 1 figure. Version 2 (Final). To be published in Physica D
Subjects: Chaotic Dynamics (nlin.CD)
Cite as: arXiv:nlin/0207018 [nlin.CD]
  (or arXiv:nlin/0207018v2 [nlin.CD] for this version)
  https://doi.org/10.48550/arXiv.nlin/0207018
Journal reference: Physica D; 1 Feb. 2003; vol.175, no.3-4, p.167-76
Related DOI: https://doi.org/10.1016/S0167-2789%2802%2900695-4

Submission history

From: Susan Kurien [view email]
[v1] Wed, 10 Jul 2002 16:11:04 UTC (15 KB)
[v2] Tue, 24 Sep 2002 17:01:17 UTC (15 KB)
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