An approximate inertial manifold (AIM) based closure for turbulent flows

Kolmogorov inertial range for inhomogeneous turbulent flows.

Self-Energy Closure for Inhomogeneous Turbulent Flows and Subgrid Modeling

A new statistical dynamical closure theory for general inhomogeneous turbulent flows and subgrid modeling is presented. This Self-Energy (SE) closure represents all eddy interactions through nonlinear dissipation or forcing ‘self-energy’ terms in the mean-field, covariance and response function equations. This makes the renormalization of the bare dissipation and forcing, and the subgrid modeli...

Spatial and velocity statistics of inertial particles in turbulent flows

Spatial and velocity statistics of heavy point-like particles in incompressible, homogeneous, and isotropic three-dimensional turbulence is studied by means of direct numerical simulations at two values of the Taylor-scale Reynolds number Reλ ∼ 200 and Reλ ∼ 400, corresponding to resolutions of 512 and 2048 grid points, respectively. Particles Stokes number values range from St ≈ 0.2 to 70. Sta...

An approximate solution of the Riemann problem for a realisable second-moment turbulent closure

An approximate solution of the Riemann problem associated with a realisable and objective turbulent second-moment closure, which is valid for compressible flows, is examined. The main features of the continuous model are first recalled. An entropy inequality is exhibited, and the structure of waves associated with the non-conservative hyperbolic convective system is briefly described. Using a l...

Lagrangi-an Pdf Methods for Turbulent Flows

Lagrangian Probability Density Function (PDF) methods have arisen the past 10 years as a union between PDF methods and stochastic Lagrangian models, similar to those that have long been used to study turbulent dispersion. The methods provide a computationally-tractable way of calculating the statistics, of inhomogeneous turbulent flows of practical importance, and are particularly attractive if...