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Stochastic Perturbations in Vortex Tube Dynamics

L. Moriconi·F. A. S. Nobre
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Abstract

A dual lattice vortex formulation of homogeneous turbulence is developed, within the Martin-Siggia-Rose field theoretical approach. It consists of a generalization of the usual dipole version of the Navier-Stokes equations, known to hold in the limit of vanishing external forcing. We investigate, as a straightforward application of our formalism, the dynamics of closed vortex tubes, randomly stirred at large length scales by gaussian stochastic forces. We find that besides the usual self-induced propagation, the vortex tube evolution may be effectively modeled through the introduction of an additional white-noise correlated velocity field background. The resulting phenomenological picture is closely related to observations previously reported from a wavelet decomposition analysis of turbulent flow configurations.

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BibTeXRIS

L. Moriconi, F. A. S. Nobre. 2004-05-02. Stochastic Perturbations in Vortex Tube Dynamics. https://doi.org/10.1103/physreve.70.056309

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