A single-time two-point closure based on fluid particle displacements
Fluid Dynamics
2007-12-18 v1
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.
Cite
@article{arxiv.0712.2496,
title = {A single-time two-point closure based on fluid particle displacements},
author = {Wouter Bos and Jean-Pierre Bertoglio},
journal= {arXiv preprint arXiv:0712.2496},
year = {2007}
}