Related Experiment Video
Updated: Aug 15, 2026

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
Published on: July 19, 2016
Instanton calculus in shell models of turbulence
1Centre de Recherches sur les Tres Basses Temperatures-CNRS, Laboratoire Conventionne Avec l'Universite Joseph Fourier, Boiinsertion markte Postale 166, 38042 Grenoble Cedex 9, France and Ecole Normale Superieure de Lyon, Laboratoire.
Abstract:
It has been shown recently that the intermittency of the Gledzer-Ohkitani-Yamada (GOY) shell model of turbulence has to be related to singular structures whose dynamics in the inertial range includes interactions with a background of fluctuations. In this paper we propose a statistical theory of these objects by modeling the incoherent background as a Gaussian white-noise forcing of small strength Gamma. A general scheme is developed for constructing instantons in spatially discrete dynamical systems and the Cramer function governing the probability distribution of effective singularities of exponent z is computed up to first order in a semiclassical expansion in powers of Gamma. The resulting predictions are compared with the statistics of coherent structures deduced from full simulations of the GOY model at very high Reynolds numbers.
More Related Videos
Related Concept Videos
Clausius-Clapeyron Equation
Impulse-Momentum Theorem
By writing Newton's second law of motion in terms of the momentum of an object and the external force acting on it, and simultaneously using the definition of the impulse vector, it can be shown that the total impulse on an object is equal to its net...
The Clausius–Clapeyron Equation
Viscosity of Fluid
Navier–Stokes Equations
Dimensionless Groups in Fluid Mechanics

