Journal Articles Physics of Fluids Year : 2006

A single-time two-point closure based on fluid particle displacements

Abstract

A new single-time two-point closure is proposed, in which the equation for the two-point correlation between the displacement of a fluid particle and the velocity allows one to estimate a Lagrangian timescale. This timescale is used to specify the nonlinear damping of triple correlations in the closure. A closed set of equations is obtained without ad hoc constants. Taking advantage of the analogy between particle displacements and scalar fluctuations in isotropic turbulence subjected to a mean scalar gradient, the model is numerically integrated. Results for the energy spectrum are in agreement with classical scaling predictions. An estimate for the Kolmogorov constant is obtained.
Fichier principal
Vignette du fichier
postprint.pdf (118.19 Ko) Télécharger le fichier
Origin Files produced by the author(s)
Loading...

Dates and versions

hal-00198512 , version 1 (17-12-2007)

Identifiers

Cite

Wouter J.T. Bos, Jean-Pierre Bertoglio. A single-time two-point closure based on fluid particle displacements. Physics of Fluids, 2006, 18, pp.031706. ⟨10.1063/1.2185683⟩. ⟨hal-00198512⟩
61 View
329 Download

Altmetric

Share

More