1 Introduction
2 Statistical description
2.1 Statistical tools
2.2 Reynolds-averaged Navier Stokes equations
2.3 Closure Problem
3 Free shear flows
3.1 Mixing layers, jets, wakes.
4 The scales of turbulent flows
4.1 Energy cascade
5 Wall-bounded shear flows
5.1 Channel flow, pipe flow, boundary layers.
6 Modelling turbulence: DNS, LES, RANS
7 Introduction to RANS modelling
7.1 Eddy-viscosity models
7.2 Reynolds-stress models
8 Introduction to LES modelling