A Stochastic Representation of the Local Structure of Turbulence
Chevillard, Laurent; Robert, Raoul; Vargas, Vincent (2010), A Stochastic Representation of the Local Structure of Turbulence, Europhysics Letters, 89, 5, p. n°54002. http://dx.doi.org/10.1209/0295-5075/89/54002
TypeArticle accepté pour publication ou publié
External document linkhttp://arxiv.org/abs/0906.5225v3
Journal nameEurophysics Letters
MetadataShow full item record
Abstract (EN)Based on the mechanics of the Euler equation at short time, we show that a Recent-Fluid-Deformation (RFD) closure for the vorticity field, neglecting the early stage of advection of fluid particles, allows to build a 3D incompressible velocity field that shares many properties with empirical turbulence, such as the teardrop shape of the RQ-plane. Unfortunately, non-Gaussianity is weak (i.e., no intermittency) and vorticity gets preferentially aligned with the wrong eigenvector of the deformation. We then show that slightly modifying the former vectorial field in order to impose the long-range–correlated nature of turbulence allows to reproduce the main properties of stationary flows. Doing so, we end up with a realistic incompressible, skewed and intermittent velocity field that reproduces the main characteristics of 3D turbulence in the inertial range, including correct vorticity alignment properties.
Subjects / KeywordsFluid dynamics; Computational physics; Statistical physics and nonlinear systems
Showing items related by title and author.
On the regularity of stochastic currents, fractional Brownian motion and applications to a turbulence model Russo, Francesco; Flandoli, Franco; Gubinelli, Massimiliano (2009) Article accepté pour publication ou publié