Informations générales
ECTSECTS
1.5
Goal(s)
Provide fundamental notions on the physics of turbulent flows encountered in industrial installations and processes or in the context of environmental applications (rivers, atmosphere, ocean).
Present the main techniques of modelling and numerical simulation implemented in CFD codes routinely used by engineers
Content(s)
INTRODUCTION
Characteristic of turbulent flows; statistical and deterministic approaches
TURBULENCE / STATISTICAL APPROACH
Concept of averaging; Reynolds equation; equation for the Reynolds stresses and closure problem; turbulent viscosity and diffusivity; energetical mechanisms; production and dissipation of turbulent kinetic energy
STATISTICAL TOOLS AND THEORIES
Probability density; correlations; isotropic homogeneous turbulence; Fourier space; spectra of kinetic energy and dissipation. Turbulence scales; Kolmogorov theory.
EXAMPLES OF FREE TURBULENT FLOWS AND TURBULENT FLOWS IN PRESENCE OF A WALL :
mixing layers, jets and wakes, turbulent flow in a plane channel
STATISTICAL MODELLING OF TURBULENT FLOWS
1 and 2-point models; 1-point modelling : concept of model order; zero, one and two-equation models; k-eps model; second-order model.
DIRECT NUMERICAL SIMULATION AND LARGE EDDY SIMULATION :
limits of direct numerical simulations; concept of filtering and subgrid scale models;; Smagorinsky model and recent developments.
Test
Final exam (1h30)
Calendar
S1
Additional Information
16 h CM (examen compris - 1,5 h)
Bibliography
LESIEUR M., 1997, 'Turbulence in Fluids', Kluwer Academic Publishers.
VIOLLET PL., CHABARD JP., ESPOSITO P. et LAURENCE D., 1998, 'Mécanique des Fluides appliquée', Presses de l'Ecole Nationale des Ponts et Chaussées.
BAILLY C., COMTE-BELLOT G.
French State controlled diploma conferring a Master's degree
