Turbulence modeling - 4EMHAAO0

Goal(s)

Provide basic notions about turbulent flow physics encountered in industrial apparatus or environments fluids (rivers, atmosphere, ocean). Present the principal simulation techniques and numerical modeling implanted in the calculation codes routinely used by engineers.

Content(s)

Introduction:
Turbulent flow characteristics, statistical and determinist approach.

Turbulence: statistical approach
Average notion; Reynolds equations; equation for the Reynolds voltages and closure problem; turbulent viscosity and diffusivity; power mechanisms: turbulent kinetic power production and dissipation.

Statistical tools and theories:
Probability density; correlations. Homogeneous and isotropic turbulence; Fourier's space; kinetic and dissipation energy spectrum. Turbulence scales, Kolmogorov theory.

Free and wall turbulent flow examples:
Mixed layers, jet and wakes; turbulent flow in a plane canal.

Statistical modeling on the turbulent flows:
Models in 1 and 2 points; models in 1 point: notion of the model order; models with zero, one and two equations; k -? model; second order model.

Direct numerical simulation and larger scales:
Direct numerical simulation limits; filtering notion and "subgrid" models; Smagorinsky model and recent developments.

Fluid mechanics basic course